NNPC Recruitment Quantitative Reasoning Practice Questions PDF

2 TEST GUIDE THE TEST FORMAT: NNPC’S Test would usually come in 4 sections. You will required to answer 120 questions In 120minutes. That is one question per minute. The sections are: PART A: DIGRAMMATIC REASONING Questions 1-30 PART B: VERBAL REASONING Questions 31-60 PART C: QUANTITATIVE REASONI...

2 TEST GUIDE THE TEST FORMAT: NNPC’S Test would usually come in 4 sections. You will required to answer 120 questions In 120minutes. That is one question per minute. The sections are: PART A: DIGRAMMATIC REASONING Questions 1-30 PART B: VERBAL REASONING Questions 31-60 PART C: QUANTITATIVE REASONING Questions 61-90 PART D: SPATIAL REASONING. Questions 91-120 The test may also sometimes include field specific questions relating to the field you are applying to. This happened in 2015. The field specific questions are usually classified as General Knowledge. ABOUT THIS STUDY PACK: This study pack will help you prepare for the main sections of the test. Other supporting materials that came with your study pack will also help you prepare for any other likely questions that may appear.  SECTION QUANTITATIVE REASONING 30 Questions will be drawn from this section, It is advisable to practice without using calculator, as calculators may not be allowed in the test. Most often, it is not allowed. This questions pack has 300 of these past quantitative reasoning questions. You should pick 30 questions and manually set your time to 30 minutes, to see how fast you can solve these questions in the real test. NNPC RECRUITMENT - Quantitative Reasoning Questions A. 40% 1 B. 16% If I give you seven apples, you will then have five times C. 20% as many as I would then have, however, if you give me D. 100% seven apples, we will then both have the same number E. 67% of apples. How many apples do we currently have? The correct answer is option [B] A. I have 24 apples and you have 18 apples. B. I have 10 apples and you have 32 apples. 6 C. I have 18 apples and you have 24 apples. The average weight of a class of 24 students is 36 years. When D. I have 14 apples and you have 28 apples. the weight of the teacher is also included, the average weight E. I have 12 apples and you have 20 apples. increases by 1kg. What is the weight of the teacher? The correct answer is option [D] A. 37kgs B. 45kgs 2 C. 61kgs If it takes Seyi twenty minutes to boil an egg in 1.5 litres D. 72kgs of water, how long will it take Ala who is 3 years older E. 75kgs than Seyi to boil 4 eggs in 1.5 litres of water? The correct answer is option [C] A. 10 minutes 7 B. 20 minutes Mr. Kalada is three times as old as his son. After fifteen years, C. 25 minutes Mr. Kalada will be twice as old as his son's age at that time. Hence, D. 5 minutes Mr. Kalada's present age is. E. 80 minutes The correct answer is option [B] A. 48 B. 45 3 C. 42 Amakiri spent N125 for a camera and some film. The D. 36 camera cost N100 more than the film. What percent of E. 28 the cost of the two items did Amakiri spend for the The correct answer is option [B] camera? 8 A. 40% What number comes next in this sequence? 917452, 97452, B. 90% 9745, 975, ? C. 60% D. 100% A. 975 E. 20% B. 974 The correct answer is option [B] C. 97 D. 95 4 E. 94 How many two cent stamps are there in a dozen? The correct answer is option [C] 97. The least digit in each number gets dropped. A. 2 B. 10 9 C. 12 There is a pole in a lake. One-half of the pole is in the ground, D. 24 another one-third of it is covered by water, and 12 ft is out of the E. 30 water. What is the total length of the pole in ft? The correct answer is option [C] A. 12 ft A dozen of anything is twelve (12) B. 34 ft C. 56 ft D. 64 ft 5 E. 72 ft The price of garri rose by 40% last week and fell by The correct answer is option [E] 40% this week. What is the total rise or fall in percentage? 23 NNPC RECRUITMENT - Quantitative Reasoning Questions A. 60 Solution: B. 55 Fraction of pole in the ground = 1/2 Fraction of pole C. 50 covered by water = 1/3 D. 45 Fraction of pole in the ground and covered by water = E. 40 1/2 The correct answer is option [D] Solution: + 1/3 = (3 + 2)/6 = 5/6 Fraction of pole out of water = 1 - 5/6 = 1/6 Thus, one- It it important to note that sixth of the pole (out of water) is 12 ft. So, total length Average speed = Total distance / Total time. Total distance = 2 of pole = 72 ft. x 55 miles. Time for uphill journey (from Oakland to Pinewood) = 55 / 35 It may be noted that: hours. Length of pole in the ground = 72/2 = 36 ft. Length of pole covered by water = 72/3 = 24 ft. Length of pole Time for downhill journey (from Pinewood to Oakland) = 55 out of water = 12 ft. / 63 hours. Total = 36ft + 24ft + 12ft = 72ft Total time = (55 / 35) + (55 / 63) = 22 / 9 hours. Average speed = Total distance / Total time = 45 miles per 10 hour Boneri was 24 when his son Ibifuro was born. If Boneri is now 3 times as old as Ibifuro, how many years ago 13 was Boneri 4 times as old as Ibifuro? The average cost of 5 oranges and 4 guava is 36 naira. The average cost of 7 oranges and 8 guava is 48 naira. A. 4 What is the total cost of 24 oranges and 24 guava? B. 6 C. 8 A. 1044 naira D. 12 B. 2088 naira E. 18 C. 720 naira The correct answer is option [A] D. 324 naira E. 198 naira 11 The correct answer is option [B] Amakiri bought a bike for N20 and gave the bike dealer a cheque for N30 to pay for it. The bike dealer 14 persuaded a shopkeeper to change the cheque for him. Below are the 90th through 99th prime numbers. What is the Amakiri having received his N10 change, rode off on the 100th prime number? bike and was not seen again. Later, the cheque was 463, 467, 479, 491, 499, 503, 509, 521, 523, ? found to be valueless and the bike dealer had to refund the shopkeeper the amount he had received. The bike A. 527 dealer had bought the bike for N10. How much did the B. 529 bike dealer lose altogether? C. 537 D. 541 A. N40 E. 543 B. N30 The correct answer is option [A] C. N20 D. N10 15 E. The bike dealer did not lose any money The correct If P = {a, e, i, o, u} and Q = {a, e, i, u}, what is PUQ? answer is option [C] A. {a, e. i, u} He lost N20. N10 as change for the cheque and N10 for B. {a} the bike originally. C. {a, e, i, o, u} D. {i, o, u} E. {a e} 12 The correct answer is option [C] 16 The drive from Oakland to Pinewood was a tricky one. I covered the uphill distance of 55 miles at 35 miles per hour. The return journey from Pinewood to Oakland was downhill, and I managed to drive at 63 miles per hour. What was my average speed for the entire journey? 24 NNPC RECRUITMENT - Quantitative Reasoning Questions Teacher: You appeared for 4 quizzes, and your average mark in them were 82. 19 Student: How did I fare in English? If 13 = 13w/(1-w), then (2w)2 = Teacher: Well, your average in English Language and English Literature is 75. A. 1/4 B. 1/2 C. 1 Student: So, how was my performance in the D. 2 remaining subjects? E. 3 Teacher: I am sure you can figure that out for yourself. The correct answer is option [C] Can you help the student find his average marks in the remaining subjects? 20 A cricketer's average in his first 20 innings was 15 runs per A. 75 innings. After a further 10 innings, his average had increased to B. 78 17 runs per innings. What was his average for the last 10 C. 82 innings? D. 88 E. 89 A. 19 runs The correct answer is option [E] B. 18 runs C. 17 runs Solution: D. 20 runs Total marks in 4 subjects = 4 x 82 = 328. E. 21 runs Total marks in 2 English subjects = 2 x 75 = 150. The correct answer is option [E] Total marks in remaining 2 subjects = 328 - 150 = 178. Average marks in remaining 2 subjects = 178/2 = 89. His average was 21 runs per innings 17 21 There are ten teams in a basketball league. During the A work is done by two people in 24 min. If one of them can do season, each team plays the others five times. How this work alone in 40 min, how much time is required to do the many games are played in the basketball league in same work for the second person? total? A. 24 min A. 45 B. 125 C. 225 D. 450 B. 35 min The correct answer is option [C] C. 40 min Each team plays 45 games (9 other teams multiplied by D. 60 min 5 games against each). Multiply 45 by the number of E. None of the above teams, and then divide by 2 since each game includes The correct answer is option [D] two teams. Solution (A+B) can do the work in = 1/24 min. A alone can do the same work in = 1/40 min. 18 B alone can do the same work in = (A+B)'s - A's = 1/24 - 1/40 A garrison of 3300 men has provisions for 32 days = 1/60 when given at a rate of 850 grams per head. At the end Therefore, b can do the same work in = 60 min of 7 days reinforcement arrives and it was found that now the provisions will last 8 days less when given at the rate of 825 grams per head. How many more men 22 can it feed? Find a number whose double exceeds its half by exactly 99. A. 1500 men A. 33 B. 1600 men B. 44 C. 1700 men C. 55 D. 1900 men D. 66 E. 2000 men E. 77 The correct answer is option [C] The correct answer is option [D] 25 NNPC RECRUITMENT - Quantitative Reasoning Questions An inter-agency task force has representatives from 3 different agencies. Half of the task force members represent agency A, 23 one-third represent agency B and three represent agency C. Two cogged wheels of which one has 32 cogs and the How many people are on the task force? other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does A. 12 the other turn in 8 seconds? B. 30 C. 24 A. 48 D. 18 B. 24 C. 135 D. 138 E. 15 E. None of the above The correct answer is option [D] The correct answer is option [B] 27 At 10 a.m. two trains started traveling toward each other from 24 stations 287 miles apart. They passed each other at 1:30 p.m. A snake slides through a long cylindrical hole in the the same day. If the average speed of the faster train exceeded ground at 6 centimetres per second. The hole is 7.5 the average speed of the slower train by 6 miles per hour, which metres in length. The snake takes 14 seconds to enter of the following represents the speed of the faster train, in miles the hole. How many seconds does the snake take to exit per hour? the hole after entering it? A. 38mi/h A. 125 seconds B. 40mi/h B. 120 seconds C. 44mi/h C. 110 seconds D. 48mi/h D. 105 seconds E. 50mi/h E. 90 seconds The correct answer is option [C] da = a * 3.5 h The correct answer is option [A] Similarly, the distance traveled by the second train is db = b * 3.5 h The snake has exited the hole when its tail just leaves We know that they started 287 miles apart, s da + db = 287 mi the hole. The distance traveled from the time the If we plug in our previous equations, we get snake's tail just enters the hole till its tail just leaves the hole equals the length of the hole. Thus, (a * 3.5 h) + (b * 3.5 h) = 287 mi (a + b) * 3.5 h = 287 mi a + b = 287 mi / 3.5 h a + b = 82 mi/h Time for the snake to exit the hole after entering it = Now, the next thing we're told is that the average speed of the Length of the hole / Speed = = (7.5 m) / (6 cm/s) = (750 faster train exceeded the average speed of the slower train by 6 cm) miles per hour. So / (6 cm/s) = 125 seconds. a=b+6 If we plug that into the above equation, we get 25 Seyi, during a half -price sale, bought a book for the (b + 6) + b = 82 mi/h 2b + 6 = 82 mi/h usual price and a second book for one -half the usual 2b = 76 mi/h price. If she paid 90 kobo for the 2 books, what was the b = 76 mi/h / 2 b = 38 mi/h usual price for a book? Now that we know the speed of the slow train, we can find the speed of the fast train. A. 40k a = b + 6 mi/h B. 50k a = 38 mi/h + 6 mi/h a = 44 mi/h C. 60k D. 70k E. 80k The correct answer is option [C] 26 26 NNPC RECRUITMENT - Quantitative Reasoning Questions 28 B. 2/5 C. 3/10 D. 5/6 Nnaemeka markets his goods to gain 45%. He allows E. cannot be determined 10% discount for cash. Find his percentage profit when The correct answer is option [C] sold for cash. 33 A. 30.5% Half the graduating class of a college was accepted by a B. 34.5% business school. One third of the class was accepted by a law C. 36.5% school. If one-fifth of the class was accepted to both types of D. 38.5% school, what fraction of the class was accepted only by a law E. 34.2% school? The correct answer is option [A] A. 1/60 B. 2/15 C. 1/3 D. 1/2 E. 4/5 29 The correct answer is option [B] If during a one-year period, the dividend paid on a certain share of stock was equal to 8 percent of the par value of the stock, then what is the fraction of the 34 dividend paid of the par value of the stock? Tammy bought excercise books at 5,000 naira a gross. What is the price of one exercise book? A. 1/50 B. 1/25 C. 2/25 D. 2/50 E. 2/100 The correct answer is option [C] A. 36.72 naira B. 45.72 naira 30 C. 41.72 naira Each interger from 1 to 50, whose unit digit is a 3, is D. 34.72 naira written on a separate slip of paper. If the slips are placed in a box and one is picked at random, what is the E. Insufficient data probability that the number picked is a prime? The correct answer is option [D] A. 1/2 B. 2/3 C. 4/5 D. 3/4 E. 3/5 The correct answer is option [C] 35 432 naira is divided amongst three workers Boma, Soty and Titi such that 8 times Boma's share is equal to 12 times Soty's share which is equal to 6 times Titi's share. 31 How much did Boma get? One day a slug fell into a hole that was 19 feet deep. Each day he climbed up 4 feet. At night, he slid down 2 A. 192 naira feet. How many days did it take him to climb out of the B. 133 naira hole? C. 144 naira D. 128 naira A. 6days E. 115 naira B. 13 days The correct answer is option [C] C. 11 days D. 9 days E. 7 days The correct answer is option [D] 36 If 1/2 x years ago John was 12 and 1/2x years from now he will be 2x years old, how old will he be 3x years from now? 32 If 3/p = 6 and 3/q = 15 then p - q =. A. 18 B. 24 A. 1/3 C. 30 D. 54 E. It cannot be determined from the information given 27 NNPC RECRUITMENT - Quantitative Reasoning Questions The correct answer is option [D] If 7 teams participated, then the first team plays matches against the other 6 teams. The second team has already played against the first team, and so has to play matches against only 37 the other 5 teams. In this manner, the second- last team has to Ala is half as old as Blessing, and Blessing is half as old play against only one team, and the last team has already played as Qiana. If Ala is 18 years old, what is the sum of their against all the teams. Thus, the total number of matches is ages? 6 + 5 +........ + 2 + 1 = 21. A. 126 B. 36 If 21 matches are totally played, then 7 teams participated. 41 C. 24 In 1997, a particular item A cost N2,500. In 1998, the price of A D. 45 went up 20% because of inflation while in early 1999 there was a 10% increase in the price of A over its 1998 price. In June of E. 54 1999, A was put on sale with a 30% decrease in price. What is The correct answer is option [A] the actual price it was sold for? 38 A. 2500 When a student weighing 45 kgs left a class, the B. 2400 average weight of the remaining 59 students increased C. 2310 by 200g. What is the average weight of the remaining 59 students? D. 2110 E. 2210 A. 57kgs The correct answer is option [C] B. 56.8kgs C. 58.2kgs 42 D. 52.2kgs Two trains running on the same track travel at the rates of 25 E. 50.2kgs and 30 miles an hour. If the first train starts out an hour earlier, The correct answer is option [A] how long will it take the second train to catch up with it? A. 2hr 39 B. 3hr To 15 litres of water containing 20% alcohol, we add C. 4hr 5 litres of pure water. What is the % of alcohol? D. 5hr A. 5% B. 10% C. 15% D. 20% E. 25% E. 1hr The correct answer is option [C] The correct answer is option [D] 40 43 A set of football matches is to be organized in a "round- A motorcycle stunts man belonging to a fair, rides over the robin" fashion, i.e., every participating team plays a vertical walls of a circular well at an average speed of 54 kph for match against every other team once and only once. If 21 5 minutes. If the radius of the well is 5 meters, then the distance matches are totally played, how many teams traveled is kph. participated? A. 2.5 A. 15 B. 3.5 B. 12 C. 4.5 C. 7 D. 5.5 D. 5 E. 6.5 E. 3 The correct answer is option [C] The correct answer is option [C] Solution: 44 The length of a rectangle is 9 centimeter more than half the width. Find the length if the perimeter is 60 centimeters. 28  NNPC RECRUITMENT - Quantitative Reasoning Questions y + 26 + y = 140 A. Length = 14cm, Width = 14cm 2y = 114 B. Length = 14cm, Width = 16cm C. Length = 16cm, Width = 14cm y = 57k, z = 83k, x = 62k. D. Length = 19cm, Width = 14cm E. Length = 16cm, Width = 11cm The correct answer is option [C] 47 The ages of a father and son add up to 66. The digits of the father's age are those of son's age reversed. How old could they be? Solution: A. 42, 24 Perimeter = 2(length + width) 60cm = 2[width + B. 44, 22 9+(1/2width) 60cm=2width + 2 (9+1/2width) Distribute the 2 and you get 60cm= 2width + 18 + C. 45, 54 1width. D. 47, 19 Combine the widths. And subtract 18 from both sides E. None of the above 42cm= 3 width The correct answer is option [A] Divide both sides by 3 to get the length of the width. Width=14cm. 48 Then plug it into the equation for the length and you There are 200 questions on a 3 hour examination. Among these should get 16cm. questions are 50 mathematics problems. It is suggested that twice as much time be spent on each maths problem as for each other question. How many minutes should be spent on 45 mathematics problems? If I buy a melon and a coconut, the cost will be N1.19. If I buy a melon and a pineapple, the cost will be N1.45. A. 36 If I buy a coconut and a pineapple, the cost will be N1.40. B. 60 What are the individual prices? C. 72 D. 86 E. 100 A. Pineapple = 85k, coconut = 57k, melon = 65k The correct answer is option [C] B. Pineapple = 83k, coconut = 57k, melon = 62k. C. Pineapple = 89k, coconut = 56k, melon = 62k. 49 D. Pineapple = 83k, coconut = 67k, melon = 60k. Seyi prefers 16 to 17, 400 to 401 and 100 to 103. Which of the E. Pineapple = 82k, coconut = 56k, melon = 61k. The following numbers below does she prefer? correct answer is option [B] Let the price of melon be x, coconut be y, pineapple be A. 120 B. 301 z x + y = 119-----(i) C. 225 D. 171 x + z = 145----(ii) E. 404 The correct answer is option [C] y + z = 140----(iii) Seyi prefers numbers that are squares i.e. √16 = 4; √400 = 40; √100 = 10. The only number among the options that is a square x = 119 - y----(iv) is 225. substitute in equation (ii) 119 - y + z = 145 50 z - y = 26---(v) The Brainfriend calculator is low on batteries again. The following multiplication is wrong. Each line has the correct z = 26 + y----(vi) numbers, but mixed up. The solution is correct though. What is the correct multiplication? substitute the value into equation (iii) 2147 3725 * 22084429 29 NNPC RECRUITMENT - Quantitative Reasoning Questions 54 A. 1427 * 5237 What is N in the series? 6, 9, 27, 54, N, 2241. B. 7421 * 3235 C. 2147 * 2735 A. 108 D. 2147 * 7325 B. 675 E. 4217 * 5237 C. 1125 The correct answer is option [E] D. 2041 The correct answer is option [B] The next number in the sequence is n squared minus m or 51 f(n,m) = n2 - m Lovena sells to Onyeka at a gain of 20%. Onyeka sells f(6,9) = 62 - 9 = 27 to Belema at the price Lovena paid. What does Onyeka f(9,27) = 92 - 27 = 54 lose in percentage? f(27,54) = 272 - 54 = 675 f(54,675) = 542 - 675 = 2241 A. 20.67% B. 17.67% C. 16.67% D. 15.67% E. 14.57% 55 The correct answer is option [C] This equation contains the numbers 1-8. Can you complete it? 6* × 52 ** A fire engine was rushing to put out a small fire 15 miles away. The fire engine set out with 120 gallons of water, however, the water tank had a leak and the fire engine was losing water at the rate of 2 gallons per minute. The fire engine travelled at a constant speed of 30 miles per 3712 hour. If the fire required 50 gallons of water, what was left? A. 48 x 62 A. 90 gallons B. 54 x 58 B. 80 gallons C. 63 x 54 C. 70 gallons D. 64 x 58 D. 60 gallons E. 61 x 58 E. 50 gallons The correct answer is option [D] The correct answer is option [D] 53 56 On my local railway track there is a tunnel which is 5 Low temperature at night in a city is 1/3 more than 1/2 high miles long. A train, which was 440 yards long, entered as higher the tunnel at a speed of 50 miles per hour. How long did temperature in a day. Sum of the low temperature and highest it take for the whole of the train to pass completely temperature is 100o. What is the low temp? through the tunnel? [Note: there are 1760 yards in a mile]. A. 20o B. 30o A. 6 minutes and 22 seconds C. 40o B. 6 minutes and 21 seconds D. 50o C. 6 minutes and 20 seconds E. 60o D. 6 minutes and 19 seconds The correct answer is option [C] E. 6 minutes and 18 seconds The correct answer is option [E] 57 6 minutes and 18 seconds. The train has to effectively (1/4) 3 + (3/4 )3 + 3(1/4)(3/4)(1/4 + 1/4) =. travel 5.25 miles at 50 mph. Time = Dist / Speed = 5.25 / 50 = 0.105 hours = 6.3 minutes = 6 minutes 18 seconds. A. 1/64 30 NNPC RECRUITMENT - Quantitative Reasoning Questions B. 27/64 61 C. 0 A cube whose edges are 6 inches is painted blue. The cube is D. 1 then cut into smaller cubes, all of which have edges that are 2 E. -1 inches long. How many small cubes have no paint on them? The correct answer is option [D] A. 1 58 B. 2 Exactly three years before the year in which Anna was C. 6 born, the year was 1980-x. In terms of x, on Anna's D. 8 twentieth birthday, the year will be E. 18 The correct answer is option [ B] A. 1977 + x B. 1997 + x C. 2003 - x D. 2003 + x E. 2003 The correct answer is option [C] 62 Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train observes the 59. Complete the series in the sequence. 18984, 9492, 15 seconds elapses before the faster train completely passes 4746, 2373. by him. A. 1186 What is the length of the faster train? B. 1156.2 C. 1186.5 A. 25m D. 1234.6 B. 50m E. 19894 C. 75m The correct answer is option [C] D. 100m E. 125m The correct answer is option [C] 60 Tonye put six different colored beans in a bag. She had red, blue, pink, orange, yellow, and purple colored beans. There were a total of 30 beans in the bag. If there 63 were 4 red beans, 2 blue beans, 6 pink beans, 5 orange The Roman numeral MCMLXXXIV is. beans, 4 yellow beans, and 9 purple beans, what is the probability that someone could pull a pink or a yellow A. 1984 bean out of the bag? B. 1994 C. 1874 A. 1/3 B. 1/4 C. 1/5 D. 1/6 E. 1/7 D. 1884 The correct answer is option [A] E. 1918 The correct answer is option [A] M - 1000 You have a one third chance of getting a pink or a CM - 900 yellow bean. L - 50 6+4=10 XXX - 30 10/30 = 1/3 IV - 4 64 If it is 2:30, what time will it be when the hour hand has moved through an angle of 10 degrees? A. 2:35 B. 2:50 C. 2:15 D. 3:15 E. 11:15 The correct answer is option [B] 31 NNPC RECRUITMENT - Quantitative Reasoning Questions 70 Complete the sequence in the series: 1, 2, 10, 37, 101, 65. Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 and 30 minutes respectively, while C can empty it in 15 minutes. If A, B & C are kept open A. 156 successively for 1 minute each, how soon will the tank B. 196 be filled? C. 226 D. 256 A. 163 minutes E. 296 B. 164 minutes The correct answer is option [C] C. 165 minutes D. 166 minutes 2 - 1 = 1; 10 - 2 = 8; 37 - 10 = 27; 101 - 37 = 64; E. 167 minutes The differences between two consecutive numbers are 1, 8, 27, The correct answer is option [E] 64,... (cubes of integers starting with 1). So, 101 + 53 = 101 + 125 = 226 66 A boutique in Port Harcourt decided to calculate the percentage of customers who purchase hats. If 40 of the store customers decide to purchase items and of those 71 customers 15 percent purchased hats, what is the A man named Ike says "I am only three times my son's age. My percentage of hat customers? father is 40 years more than twice my age. Together the three of us are a mere 1,240 years old." How old is Ike? A. 4% A. 360 years old B. 6% C. 15% D. 24% E. 55% B. 361 years old The correct answer is option [B] C. 362 years old D. 363 years old E. 364 years old 67 The correct answer is option [A] Juny is now twice as old as Emi, but 6 years ago she was 5 times as old as he was. How old is Juny now? 72 A. 10 Complete the sequence in the series: 1, 3, 6, 10, 15,. B. 16 C. 20 A. 17 D. 24 B. 18 E. 32 C. 19 The correct answer is option [B] D. 20 E. 21 The correct answer is option [E] 68 Divide 80 by 1/2 and add 40 to the result. What is the final answer? 3 - 1 = 2; 6 - 3 = 3; 10 - 6 = 4; 15 - 10 = 5; The differences between two consecutive numbers are 2, 3, 4, A. 80 B. 120 C. 160 D. 200 E. 240 5, 6,... The correct answer is option [A] So, 21 - 15 = 6. Alternatively, 1 + 2 = 3; 1 + 2 + 3 = 6; 1 + 2 + 3 + 4 = 10; 1 + 2 + 3 + 4 + 5 = 15; 1 + 2 + 3 + 4 + 5 + 6 = 21; The nth term in the sequence is given by n (n + 1)/2. The numbers are often referred to as triangular numbers. 73 Which of the following is the number under 1000 which has the most divisors? e.g. 21 has the divisors, 1, 3, 7, and 21. 32 NNPC RECRUITMENT - Quantitative Reasoning Questions D. 59, 61 and 69 A. 670 E. 53, 69 and 71 B. 740 The correct answer is option [A] C. 840 D. 980 E. 999 78 The correct answer is option [C] 840: which has 32 Complete the sequence in the series: 500, 475, 425, 350, divisors. 250,. A. 225 75 B. 200 Mrs. Priscillia receives a salary of N1,500 per week C. 172 plus 2 percent commission on sales. What was her total D. 150 earning for a week in which her sales was N29,230? E. 125 The correct answer is option [E] A. N2,084.60 B. N2,184.60 C. N2,284.60 D. N2,384.60 E. N2,484.60 500 - 475 = 25; 475 - 425 = 50; 425 - 350 = 75; 350 - 250 = The correct answer is option [A] 100; The differences between two consecutive numbers are 25, 50, 75, 100, 125,... 76 So, 250 - 125 = 125. If the difference of two numbers is 10 and their product is 13, what is the sum of their squares? A. 125 79 B. 126 The average wages of a worker during a fortnight comprising C. 100 15 consecutive working days was Rs.90 per day. During the first D. 169 7 days, his average wages was Rs.87/day and the average E. None of the above wages during the last 7 days was Rs.92 The correct answer is option [B] /day. What was his wage on the 8th day? Solution: A. 83 B. 92 Let a and b be the two numbers. Then, a - b = 10 and C. 90 ab = 13 D. 97 E. 102 The correct answer is option [D] Now, (a - b)2 = (a - b) (a - b) = a2 - 2ab + b2 So, 102 = a2 - 2(13) + b2 80 100 + 26 = a2 + b2 If Ateli lends N400 for 9 months, Ibikari lends N300 for 8 Thus, a2 + b2 = 126 months, and the interest paid is N25, how much should Ateli receive? A. N10 77 B. N12 Can you find three consecutive primes which total 190747 when multiplied together? C. N15 D. N17 A. 53, 59 and 61 E. N18 B. 59, 61 and 67 The correct answer is option [C] C. 53, 67 and 73 33 NNPC RECRUITMENT - Quantitative Reasoning Questions 4, 5, 6, 45, 30 81 The current ratio of boys to girls at a certain school is 5, 6, 7, 66, 42 2 to 6, 7, 8, ??, 56 5. If 12 additional boys were added to the school, the new ratio of boys to girls would be 4 to 9. How many A. 132 boys currently attend the school? B. 112 C. 100 A. 118 D. 91 B. 108 The correct answer is option [D] f(n,m) = (n + m) * m C. 72 For example, f(2,3) = (2 + 3) * 3 = 15. D. 54 Thus f(6,7) = (6 + 7) * 7 = 91 The correct answer is option [B] 84 The monthly salaries of Kunle and Femi are in the ratio of 4:7. 82 If each receives an increase of 25 naira in the salary, the ratio is Joan and Jane are sisters. Jean is Joan's daughter and altered to 3: 5. Find their respective salaries. 12 years younger than her aunt. Joan is twice as old as Jean. Four years ago, Joan was the same age as Jane is A. 120 naira and 210 naira now, and Jane was twice as old as her niece. How old is B. 80 naira and 140 naira Jean? C. 180 naira and 300 naira D. 200 naira and 350 naira A. 32 E. 250 naira and 500 naira B. 28 The correct answer is option [D] C. 22 D. 16 E. 14 85 The correct answer is option [D] Joan is 32, Jane is 28, Replace the question marks with one mathematics symbols ( e.g. + - / x) and make the equation correct and Jean is 16 (9 ? 1) ? (7 ? 6) ? (8 ? 4) = 3 A. + 83 B. - What is the missing number? C. / D. x 2, 3, 4, 15 ,12 E. None of the above 3, 4, 5, 28, 20 The correct answer is option [B] (9 - 1) - (7 - 6) - (8 - 4) = 3. 4, 5, 6, 45, 30 5, 6, 7, 66, 42 86 6, 7, 8, ??, 56 What is the number that is one half of one quarter of one tenth of 400? A. 132 B. 112 A. 5 C. 100 B. 15 D. 91 C. 8 The correct answer is option [D] f(n,m) = (n + m) * m D. 10 For example, f(2,3) = (2 + 3) * 3 = 15. E. 40 Thus f(6,7) = (6 + 7) * 7 = 91 The correct answer is option [B] Solution: 1/10 of 400 is 40 83 1/4 of 40 is 10 What is the missing number? 2, 3, 4, 15 ,12 3/2 of 10 is 15 3, 4, 5, 28, 20 34 NNPC RECRUITMENT - Quantitative Reasoning Questions 87 90 James said that he was born on February 29, 1900. Diki likes soda very much. At the local convenience store, for 5 What birthday will he celebrate in the year 2000? empty soda bottles she receives a full bottle. As part of the Girl Guide's recycling initiative, she manages to collect 77 empty A. 100 bottles. How many bottles of soda will she be able to drink in B. 1,000 total? C. 101 D. 1,0001 A. 77 E. None of the above B. 19 The correct answer is option [E] C. 20 D. 21 He celebrates his birthdays in leap years. In 2000, he will E. 22 be 25years old. However, the year 1900 was not The correct answer is option [B] actually a leap year. 88 19 bottles: from the initial 77 bottles, she receives 15 full bottles 14,500 people are sitting in a stadium. One of them is (with 2 spare empties). From the 17 empties, she receives 3 picked out. What are the chances that the person's more full bottles (with 2 spare empties). From the 5 empties she birthday is on a Sunday? receives one final full bottle. A. 1/14,500 B. 1/7 C. 7/14,500 D. 1/14,501 E. 1/6 91 The correct answer is option [B] Take the number of your fingers multiplied by the number of your toes divided by half and add it to the number of months in 1/7. The amount of people in the crowd is irrelevant. a year. What is the total? A. 212 89 B. 202 Obomate is 2 years older than Kunle, who is twice as C. 192 old as Joe. If the ages of the three total 57 years, how old D. 186 is Kunle? E. 172 The correct answer is option [E] A. 10years B. 11years We have 8 fingers and 2 thumbs C. 22years = 8x10 = 80÷1/2 = 160 + 12=172 D. 33years E. 44years 92 The correct answer is option [C] Solution: A pillar 8 feet tall casts a shadow 4 feet long on the ground. If the Let Joe's age be represented by x Kunle's age is 2x pillar was 12 feet tall, how many feet in length would the shadow cast? Obomate's age is 2x + 2 57 = x + 2x + 2x + 2 55 = 5x A. 12 feet x = 11 B. 8 feet Kunle's age is 2 2 years. C. 6 feet D. 4 feet E. 2 feet The correct answer is option [C] Solution: The lengths of the shadows are to one another as the heights of the pillars. Thus, Length of the shadow for a pillar 12 feet tall = (12 / 8) x 4 = 6 feet. 35 NNPC RECRUITMENT - Quantitative Reasoning Questions D. 3 93 E. 2 Two people start at the same point and walk in The correct answer is option [B] opposite directions. If one walks at the rate of 4 miles per hour and the other walks at the rate of 6 miles per 97 hour, in how many hours will they be 40 miles apart? If 20 men or 24 women or 40 boys can do a job in 12 days working for 8 hours a day, how many men working with 6 A. 1 women and 2 boys take to do a job four times as big, working B. 2 for 5 hours a day for 12 days? C. 3 D. 4 A. 2 men E. 5 B. 8 men The correct answer is option [D] C. 12 men D. 24 men 94 E. 25 men Arrange the following numbers in ascending order of The correct answer is option [A] magnitude: 8, 9, 4, 6, 2, 4, 7, 5, 15, 12. A. 15, 12, 9, 8, 7, 6, 5, 4, 2 98 B. 2, 4, 4, 5, 6, 7, 8 In how many ways can Ann, Bea, Cam, Don, Ella and Fey be C. 2, 4, 4, 5, 6, 7, 8, 9, 12, 15 seated if Ann and Bea cannot be seated next to each other? D. 15, 12, 9, 8, 2, 4, 4, 5, E. None of the above A. 240 The correct answer is option [C] B. 360 C. 480 D. 600 95 The correct answer is option [C] What row of numbers comes next? 1 99 11 The square of a two digit number is divided by half the number. 21 After 36 is added to the quotient, the sum is then divided by 2. 1211 The digits of the resulting number are the same as those in the 111221 original number, but they are in reverse order The tens' place 312211 of the original number is equal to twice the difference between 13112221 its digits. What is the number? A. 1123123111 A. 40 B. 11123113211 B. 42 C. 1132113211 C. 44 D. 1113213211 D. 46 E. 1111132231 E. 48 The correct answer is option [D] The correct answer is option [D] Starting with the second line, every line describes the line before it. In writing, it is: 100 One One Two Ones If two pencils costs 8 kobo, how much will 50,998 pencils One Two One One etc. cost? A. N40,708.40 B. N4,079.84 C. N407,984 D. N479.84 96 What is the smallest number by which 2880 must be E. N4,079.84 divided in order to make it a perfect square? The correct answer is option [E] A. 6 B. 5 C. 4 36 NNPC RECRUITMENT - Quantitative Reasoning Questions 101 105 If 9x - 3y = 12 and 3x - 5y = 7 then 6x - 2y =? If two typist can type two pages in two minutes, how many typists will it take to type 18 pages in six minutes? A. 2 B. 4 A. 3 C. 5 B. 4 D. 8 C. 6 E. 9 D. 12 The correct answer is option [D] E. 36 The correct answer is option [C] 102 One typist types one page in two minutes. You're driving your car on the highway at 75 mph, and you notice a sign that says you are 75 miles from your destination. So if you continue driving at that speed, 106 you'd be there in an hour. When you have driven one Complete the sequence in the series 25, 100, 225, 400, 625,. mile and you are now 74 miles from your destination, you drop your speed down to 74 mph. So, you drive that A. 725 first mile at 75 mph; when you are 74 miles from your B. 775 destination, you drop your speed down to 74 mph; and C. 825 then 73 mph, 72 mph... and so on. Until, finally, you get D. 900 down to 1 mile from your destination and you're E. 925 driving at one mile per hour. If you do this, how long is The correct answer is option [D] it going to take you to travel the entire 75 miles, rounding it to the nearest hour? 107 A. 3 hours In a football syndicate, the winnings amounted to N7657. There B. 4 hours were more than 30 people in the syndicate, but less than 100. C. 5 hours Each won exactly the same number of Naira and no kobo was D. 6 hours involved. How much did each win? E. 7 hours The correct answer is option [C] A. N255 B. N247 103 C. N239 In a km race, A gives B a start of 20 seconds and beats D. N232 him by 40m. However, when he gives B a start of 25 E. N225 seconds, they finish in a dead heat. What is A's speed in The correct answer is option [B] 31 people: each won N247. m/sec? A. 12.5 mins/sec B. 20 mins/sec 108 C. 8 mins/sec The distance between Station Rail Crescent and Station D. 10 mins/sec Churchill is 84 miles. A train starts from Rail Crescent towards E. 12 mins/sec Churchill. A bird starts at the same time from Churchill straight The correct answer is option [D] towards the moving train. On reaching the train, it instantaneously turns back and returns to Churchill. The bird makes these journeys from Churchill to the train and back to Churchill continuously till the train reaches Churchill. The bird 104 finally returns to Churchill and rests. Calculate the total distance The Roman numeral MDCCCLXXXVIII is. in miles the bird travels if the bird flies at 60 miles per hour and the speed of the train is 80 miles per hour. A. 1878 B. 1888 C. 1988 D. 1899 E. 1818 The correct answer is option [B] 37 NNPC RECRUITMENT - Quantitative Reasoning Questions B. N404.80 C. N440 D. N536.8 A. 84 Miles E. N560 B. 76 Miles The correct answer is option [B] C. 72 Miles D. 48 Miles E. None of the above 112 The correct answer is option [C] When I add 6 times my age 6 years from now to 7 times my age 7 years from now, I get 14 times my current age. How old will I In 36 minutes, the bird travels 36 miles, the train be 4 years from now? travels 48 miles, and the two meet. A. 98 Now, the train (which is traveling at a speed greater B. 89 than that of the bird) will reach Churchill before the C. 78 bird. D. 69 E. 59 So, the bird simply returns to Churchill (a return The correct answer is option [B] Solution: journey of 36 miles). Let x be my present age. My age 6 years from now will be x Thus, the total distance traveled by the bird is 72 miles. + 6, and 6 times that will be 6 (x + 6). Similarly, my age 7 years from now will be x + 7, and 7 times that will be 7 (x + 7). Adding the two gives 14 times my current age. This gives the 109 equation: If a and b are positive integers and (a - b)/3.5 = 4/7, 6 (x + 6) + 7 (x + 7) = 14 x. then Solving the above equation gives x = (6 x 6) + (7 x 7) = 85. Thus, I will be 89 years old 4 years from now. A. b < a B. b > a 113 C. b = a Complete the sequence in the series: 1, 3, 6, 10, 15, 21, 28, D. b >= a. E. none of the above The correct answer is option [A] A. 30 B. 36 C. 42 D. 48 110 E. 54 From five different green balls, four different blue balls The correct answer is option [B] and three different red balls, how many combinations of balls can be chosen, taking at least one green and one 1; blue ball? 1 + 2 = 3; 1 + 2 + 3 = 6; 1 + 2 + 3 + 4 = 10; A. 3660 1 + 2 + 3 + 4 + 5 = 15; B. 3680 1 + 2 + 3 + 4 + 5 + 6 = 21; C. 3700 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28; D. 3720 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36; The nth term in the sequence is given by n (n + 1)/2, and the E. None of the above numbers are often referred to as triangular numbers. The correct answer is option [D] 114 111 A merchant buys two articles for N600. He sells one of them at a profit of 22% and the other at a loss of 8% and makes no profit or loss in the end. What is the selling price of the article that he sold at a loss? A. N160 38 NNPC RECRUITMENT - Quantitative Reasoning Questions If the operation,^ is defined by the equation x ^ y = 2x The correct answer is option [C] + y, what is the value of a in 2 ^ a = a ^ 3? A. 0 118 B. 1 If one-seventh of a number exceeds its eleventh part by 100 C. -1 then the number is D. 4 A. 1925 E. -4 B. 1100 The correct answer is option [B] C. 1825 D. 770 115 The area of the floor of the tank is 6 square feet, The correct answer is option [A] Let the number be x. and the water in it is 9 inches deep. How much does the Then X/7 - x/11 =100 11x-7x = 7700 x=1925. 119 water rise if a 1foot metal cube is placed in it? How Last weekend, I went to play in the nearby park. It was real fun! much further does the water rise if a second 1 foot cube I rode my new bicycle that Mom had given to me on my is also placed in the tank? birthday. On reaching the park, I saw that there were a total of 16 bicycles and tricycles. If the total number of wheels were 39 A. 1.8 inches, then another 2.2 inches. , how many tricycles were there? B. 1.2 inches, then another 2.8 inches. C. 2.2 inches, then another 2.2 inches. A. 16 D. 1.8 inches, then another 1.8 inches. B. 15 E. 2.2 inches, then another 1.8 inches. The correct C. 12 answer is option [A] D. 9 1.8 inches, then another 2.2 inches. Initially the volume E. 7 of water is 6 * 9/12 = 4.5 cubic feet. The first cube The correct answer is option [E] effectively reduces the cross-sectional area of the tank to 5 square feet, causing the water to be 4.5/5 foot = 10.8 inches deep. Thus it rises 1.8 inches. The second Solution: cube is then placed on the floor of the tank, the cross- sectional area is 4 square feet up to a height of 1 foot, Let the number of bicycles be x and the number of tricycles be and this is filled by 4 cubic feet of water. The remaining y 0.5 cubic foot, in a cross-sectional area of 6 square feet, x + y = 16-----(i) requires a height of 0.5/6 foot = 1 inch. The water is 2x + 3y = 39----(ii) therefore 13 inches deep and has risen by another 2.2 Solve for x in equation (i) x = 16 - y----(iii) inches. 2(16 - y) + 3y = 39 y =7. 116 120 If M = {u, v, w, x, y} and N = {u, x, z}, what is MnN? If I have a normal coin with a head and tail, a 6-sided die, and a bag containing 4 blue and 2 red marbles, A. {u, x} what is the probability of me flipping a head, rolling a 4, and B. {u, v, w, x, y} picking out a red marble? C. {u, x, z} A. 0.0278 D. {u, v, w, x, y, z} B. 0.0367 E. {x, z} C. 36 The correct answer is option [A] D. 27 E. 0.278 The correct answer is option [A] 117 If 7 workers can build 7 cars in 7 days, then how many days would it take 5 workers to build 5 cars? A. 1 B. 5 C. 7 D. 25 39 NNPC RECRUITMENT - Quantitative Reasoning Questions Probability of flipping a head is 1/2 Probability of C. 47 rolling a 4 is 1/6 D. 48 Probability of selecting a red marble is 2/6 = 1/3. E. 49 Then multiply the results to get the probability: 1/2 x The correct answer is option [D] 1/6 x 1/3 = 0.0278 (to 3 decimal places) The differences between the numbers increases by 1, starting 121 with 5 (3 to 8), so the answer is 48 because the difference has Mr Willie likes to smoke cigars, but he cannot afford to be 10 between 38 cigars so he puts five (5) stubs (which he finds) together to make one full cigar. One day Mr Willie was lucky to get 25 stubs extra. How many cigars could he smoke (maximum number)? 125 Bea can paint a house three times faster than Alice can paint a A. 5 house. If, working together, it takes Alice and Bea 24 hours to B. 6 paint a house, then how many hours will it take Bea to paint a C. 7 house alone? D. 8 E. 4 A. 28 The correct answer is option [B] B. 30 C. 32 D. 36 The correct answer is option [C] 122 600 ladies and 400 guys belong to a choreography 126 group. What are the chances that a person chosen to What percent of 15 is 15 percent of 1? represent the group in the dance is a lady? A. 0.001 A. 2/3 B. 0.01 B. 1/1,000 C. 3/5 C. 0.1 D. 3/2 E. 1/600 D. 1 The correct answer is option [C] The correct answer is option [D] 123 Complete the sequence in the series: 213, 426, , 852, 127 1065, 1278. What is the number of triangles in an octagon? A. 578 A. 326 B. 621 B. 120 C. 639 C. 56 D. 180 D. 669 E. cannot be determined E. 701 The correct answer is option [C] The correct answer is option [C] 213 + 213 = 426; 426 + 213 = 639; 639 + 213 = 852; 852 + 213 = 1065; 1065 + 213 = 1278; 128 The numbers simply increase by 213. If a sum of money compounded annually amounts to thrice itself in 3 years. In how many years will it become 9 times itself? 124 A. 4 years Determine the number that should come next in the B. 5 years series below: C. 6 years D. 7 years 3, 8, 14, 21, 29, 38, ? E. 8 years The correct answer is option [C] A. 45 B. 46 40 NNPC RECRUITMENT - Quantitative Reasoning Questions 129 A. 5 2 hours after a freight train leaves Delhi, a passenger B. 7 train leaves the same station traveling in the same C. 9 direction at an average speed of 16 km/hr. After D. 11 traveling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was E. None of the above. The correct answer is option [B] A. 30 134 A painting job can be completed by 7 painters in 50 days. If 21 B. 40 more painters join the team 10 days after starting work on the C. 58 job, how many more days are required to complete the job? D. 60 E. 72 A. 6 days The correct answer is option [B] B. 8 days C. 10 days D. 12 days 130 The average of 5 quantities is 6. The average of 3 of E. 14 days them is 8. The correct answer is option [C] What is the average of the remaining two numbers? Solution: Total effort required by 7 painters for 50 days = 7 x 50 = 350 A. 6.5 man-days. B. 4 Initial effort by 7 painters for 10 days = 7 x 10 = 70 man- days. C. 3 D. 3.5 E. 2.5 Job still requires 350 - 70 = 280 man-days, and there are 28 The correct answer is option [C] painters available to do it. Additional effort required by 28 painters for 280 man-days = 280 / 28 = 10 days. 131 Thus, 10 more days are required to complete the painting job. There are two dogs in each corner of a room shaped like an octagon. How many dogs are in the room? 135 A. 8 Mr. Brown has 8 black gloves and 12 brown gloves in his closet. B. 10 He blindly picks up some gloves from the closet. What is the C. 12 minimum number of gloves Mr. Brown will have to pick to be D. 14 certain to find a pair of gloves of the same color? E. 16 The correct answer is option [E] A. 3 B. 4 132 C. 5 The monthly incomes of Ada and Betty are in the ratio D. 6 4 : 5, their expenses are in the ratio 5 : 6. If Ada saves 25 naira per month and Betty saves 50 naira per month, E. 7 The correct answer is option [A] what are their respective incomes? A. 400 naira and 500 naira 136 B. 240 naira and 300 naira Which number best completes the series? 2, 3, 5, 7, 11, 13, ? C. 320 naira and 400 naira D. 440 naira and 550 naira A. 14 E. 110 naira and 220 naira B. 15 The correct answer is option [A] C. 16 D. 17 133 What is x? if 45/9 = 12 - x 41 NNPC RECRUITMENT - Quantitative Reasoning Questions E. 18 D. 1.00pm The correct answer is option [D] E. 2.00pm The correct answer is option [B] The series is made up of prime numbers. 140 137 The present ages of Chukwuemeka and Ikechukwu are 6 : This multiplication contains the numbers 1-9. Can you 4. Five years ago their ages were in the ratio 5 : 3. Find their complete it? present ages. *** x 3* A. 42, 48 B. 36, 24 C. 30, 20 7254 D. 25, 15 E. 35, 45 A. 186 x 39 The correct answer is option [C] B. 186 x 38 C. 186 x 37 141 D. 186 x 36 Last week, I travelled from London to Stoke. On the first day I E. 186 x 35 travelled half of the distance. On day two, I travelled one third The correct answer is option [A] of the remaining distance. On day three, I travelled three quarters of the remaining distance. Yesterday I travelled half of 138 the remaining distance. I now have 5 miles left to travel. How A tennis championship is played on a knock-out basis, far is it from Stoke to London in total? i.e., a player is out of the tournament when he loses a match. How many players participated in the A. 120 miles tournament if a total of 15 matches are played? B. 60 miles C. 40 miles A. 20 D. 20 miles B. 16 E. 5 miles C. 12 The correct answer is option [A] D. 8 E. 6 120 miles. On the first day I travelled 60 miles, leaving 60 miles. The correct answer is option [B] On day two I travelled 20 miles, leaving 40 miles On day three I travelled 30 miles, leaving 10 miles. Yesterday I travelled 5 Solution: Since the tennis tournament is played on a miles, leaving 5 miles. knock out basis and there 15 matches played, then the number of players would be 16, that is , 15 players and 1 player(the winner). 142 A bank department employs 2800 people of whom 70 percent are cash officers and one-fourth are marketing officers. The 139 number of employees in the bank who are neither cash officers A bus started from the bus stand at 8.00am, and after nor marketing officers is. 30 minutes of staying at the destination, it returned back to the bus stand. The destination is 27 miles from A. 235 the bus stand. The speed of the bus is 18mph. In the B. 250 return journey, the bus travels with 50% fast speed. At C. 140 what time did it return to the bus stand? D. 155 E. 160 The correct answer is option [C] A. 10.00am B. 11.00am C. 12 noon 143 Complete the sequence in the series: 1, 2, 6, 24, 120,. A. 720 42 NNPC RECRUITMENT - Quantitative Reasoning Questions B. 620 C. 520 Solution D. 420 Diki has a 5/18 chance of pulling out a fruit she likes. 4 apples E. 320 + 6 blueberries = 10 fruits The correct answer is option [A] She likes 10/36 = 5/18. 1 = 1; 147 (1)(2) = 2; A salesperson works 50 weeks each year and makes an average (1)(2)(3) = 6; (arithmetic mean ) of 100 sales per week. If each sale is worth (1)(2)(3)(4) = 24; an average (arithmetic mean) of N1,000, then what is the total (1)(2)(3)(4)(5) = 120; value of sales made by the salesperson in a year? (1)(2)(3)(4)(5)(6) = 720; The nth term in the sequence is given by n! (factorial A. N50,000 B. N100,000 C. N500,000 of n), which is defined as the product of all integers D. N1,000,000 E. N5,000,000 from 1 to n. The correct answer is option [E] 148 144 The price of a product is reduced by 30%. By what percentage Gary began peeling a pile of 44 potatoes at the rate of should it be increased to make it 100%? 3 per minute. Four minutes later, Christen joined him, and peeled at the rate of 5 potatoes per minute. When A. 38.758% they were finished, how many potatoes had each B. 42.857% peeled? C. 62% D. 70% A. Gary 16, Christen 20 E. None of the above B. Gary 20, Christen 14 The correct answer is option [B] C. Gary 24, Christen 20 D. Gary 20, Christen 24 E. Both 27 The correct answer is option [C] 149 Five years ago, Sharon's age was three times that of Sommy. 145 Ten years ago, Sharon's age was one half that of Ela. If E In a class composed of x girls and y boys, what part of represents Ela's current age, which of the following represents the class is composed of girls? Sommy's current age? A. y/(x + y) A. E/6 + 5 B. 2E B. x/xy C. (E - 10)/3 C. x/(x + y) D. 3E - 5 D. y/xy E. None of the above E. None of the above The correct answer is option [A] The correct answer is option [C] 146 150 Diki likes blueberries and apples. She puts bananas, A portion of $7200 is invested at a 4% annual return, while the apples, oranges, cherries, and blueberries into a basket. remainder is invested at a 5% annual return. If the annual There are 36 fruits in the basket. There are 7 bananas, income from both portions is the same, what is the total income 4 apples, 11 oranges, 8 cherries, and the rest from the two investments? blueberries. What is Diki's chance of picking out a fruit that she likes? A. 1/6 B. 18/5 C. 5/18 D. 1/9 E. 0 The correct answer is option [C] 43 NNPC RECRUITMENT - Quantitative Reasoning Questions A. 46 minutes A. $160 B. $320 C. $400 D. $720 B. 45 minutes E. None of the above C. 44 minutes The correct answer is option [B] D. 43 minutes E. 42 minutes The correct answer is option [B] 151 In a group of 15, 7 have studied Latin, 8 have studied 45 minutes. In 24 hours, the cold tap could fill 80 baths, the hot Hints, and 3 have not studied either. How many of these tap could fill 96 baths and the plug could drain 144 baths. studied both Latin and Hints? Therefore, in 24 hours, we have 80 + 96 - 144 baths full = 32 baths. Therefore each bath would take 45 minutes to fill. A. 0 B. 3 C. 4 154 D. 5 Replace the question marks with one mathematics symbol E. 6 (e.g. + - / x) and make the equation correct The correct answer is option [B] (7 ? 1) ? (5 ? 2) ? (2 ? 3) = 20 A. + 152 B. - From me to you with LOVE. How many times does the C. x word LOVE appear in this grid? D. /