BBA Examination, Dec 2022 Arithmetic Aptitude PDF

## BBA Examination, Dec - 2022 ### Arithmetic Aptitude **Code: BBA-501 (New)** **(To be filled in by the candidate)** - Roll No. (in figures) - Roll No. (in words) - Enrolment No. (in figures) - Name of College **Instructions to the Examinee** 1. Do not open the booklet unless you are asked to...

## BBA Examination, Dec - 2022 ### Arithmetic Aptitude **Code: BBA-501 (New)** **(To be filled in by the candidate)** - Roll No. (in figures) - Roll No. (in words) - Enrolment No. (in figures) - Name of College **Instructions to the Examinee** 1. Do not open the booklet unless you are asked to do so. 2. The booklet contains 100 questions. Examinee is required to answer all 100 questions in the OMR Answer-Sheet provided and not in the question booklet. All questions carry equal marks. 3. Examine the booklet and the OMR Answer-Sheet very carefully before you proceed. Faulty question booklet due to missing or duplicate pages/questions or having any other discrepancy should be got immediately replaced. **(Remaining instructions on last page)** **Question Booklet Series** - P **Question Booklet Number** **[Maximum Marks: 75]** **[Time: 2 Hours]** **Signature of Invigilator** **परीक्षार्थियों के लिए निर्देश:** 1. प्रश्न-पुस्तिका को तब तक न खोलें जब तक आपसे कहा न जाये। 2. प्रश्न-पुस्तिका में 100 प्रश्न हैं। परीक्षार्थी को सभी 100 प्रश्नों को केवल दी गई OMR आन्सर-शीट पर ही हल करना है, प्रश्न-पुस्तिका पर नहीं। सभी प्रश्नों के अंक समान हैं। 3. प्रश्नों के उत्तर अंकित करने से पूर्व प्रश्न-पुस्तिका तथा OMR आन्सर-शीट को सावधानीपूर्वक देख लें। दोषपूर्ण प्रश्न-पुस्तिका जिसमें कुछ भाग छपने से छूट गये हों या प्रश्न एक से अधिक बार छप गए हों या उसमें किसी अन्य प्रकार की कमी हो, उसे तुरन्त बदल लें। **(शेष निर्देश अन्तिम पृष्ठ पर)** **Question 1:** The mean proportional between 2 and 8 is? - (A) 4 - (B) 16 - (C) 3 - (D) 1 **Question 2:** The simple interest on ₹100 at the rate of 5% p.a. for 5 years is? - (A) 10 - (B) 5 - (C) 20 - (D) 25 **Question 3:** The seventh term of an arithmetic progression 7, 10, 13, 16 --- is? - (A) 28 - (B) 22 - (C) 25 - (D) 20 **Question 4:** The ratio of work done by $(x + 2)$ men in $(x - 2)$ days to that of $(x -1)$ men in $(x + 1)$ days is 4:5. The value of $x$ is? - (A) $\pm4$ - (B) 6 - (C) 4 - (D) 8 **Question 5:** The value of algorithm 1 to the base 10 is? - (A) 2 - (B) 10 - (C) 0 - (D) 1 **Question 6:** The set A={3, 4, 5} and the set B={6, 7} then the set AnB is? - (A) Nullset - (B) {0} - (C) {} - (D) {A} **Question 7:** The three numbers are in the ratio 5:7:12 and, the sum of the first and third number is greater than the second by 50. The sum of three numbers is: - (A) 130 - (B) 120 - (C) 128 - (D) 125 **Question 8:** In a certain time 1400 becomes ₹1848 at 8% P.a. simple interest. When ₹2100 will become 2604 at the same time, The rate of interest is? - (A) 8.2 - (B) 7 - (c) 10 - (D) 6. **Question 9:** The year by which the sum of rupees would be 1.21 times of itself at 10% per annum CI is? - (A) 2 - (B) 3 - (C) 3.5 - (D) 2.5 **Question 10:** If S be the set of all prime numbers and M = {x:0<x<=9} then M -($S \cap M$) is? - (A) {0, 1, 4, 6, 8, 9} - (B) {0, 4, 6, 8} - (C) {1, 2, 4, 6, 8} - (D) {1, 3, 5, 7} **Question 11:** If $a = b^2 = c^3$ Then the value of $log(abc)$ is? - (A) $\frac{13}{3}$ - (B) $\frac{11}{6}$ - (C) $\frac{8}{3}$ - (D) 4 **Question 12:** $^rC_r - ^rC_3 = ^7C_r$ then $r$ is? - (A) 4 - (B) 3 - (C) 2 - (D) both 2 and 3 **Question 13:** The value of $log_2 (7)$ is? - (A) 0 - (B) -1 - (C) $\frac{1}{2}$ - (D) 1 **Question 14:** If $^{11}P_r = 110$ then the value of r is? - (A) 2 - (B) 10 - (C) 4 - (D) None of these **Question 15:** If $A = \begin{bmatrix} x & 1 \\ 1 & -x \end{bmatrix}$, then for what value of x, $A^2 = 0$? - (A) 1 - (B) -1 - (C) $\pm1$ - (D) None of these **Question 16:** What must be the matrix $x$ if $4x + \begin{bmatrix} 14 & 14 \\ 3 & 1 \end{bmatrix} = \begin{bmatrix} 58 & 8 \\ 13 & 137 \end{bmatrix}$? - (A) $\begin{bmatrix} 11 & 3 \\ 1 & 31 \end{bmatrix}$ - (B) $\begin{bmatrix} 14 & 10 \\ 1/4 & 1/4 \end{bmatrix}$ - (C) $\begin{bmatrix} 3/4 & 1/4 \\ 3/2 & 3 \end{bmatrix}$ - (D) $\begin{bmatrix} 7/2 & 5/2 \\ 3/2 & 3/2 \end{bmatrix}$ **Question 17:** Two numbers are in the ratio 3:4. If their HCF is 4, then their LCM will be? - (A) 96 - (B) 12 - (C) 24 - (D) 48 **Question 18:** Three mobiles phone make a beep after every 48 sec. 72 sec. 108 sec. respectively. They beeped together at 10 a.m. The time they will next make a beep together at the earliest is? - (A) 10:07:12 hrs - (B) 10:07:24 hrs - (C) 10:07:36 hrs - (D) 10:07:48 hrs **Question 19:** If 30 labours are required to construct a building in 90 days. How many labours are required to construct the building in 45 days. - (A) 60 - (B) 70 - (C) 15 - (D) 40 **Question 20:** Find 25% of ₹1500 - (A) 375 - (B) 500 - (C) 725 - (D) 1125 **Question 21:** Ratio should be reduced to _____ term. - (A) Equal - (B) Lowest - (C) Highest - (D) None of the above **Question 22:** Price of a TV set is ₹20000 is available for sale at a discount of ₹800. Find the purchaser price and discount rate. - (A) 18200, 5% - (B) 19200, 5% - (C) 18200, 4% - (D) 19200, 4% **Question 23:** A shopkeeper buys a TV set ₹18000, on the discount of 12%. What was the original price of the TV set? - (A) 20455 - (B) 20000 - (C) 21455 - (D) 19450 **Question 24:** A merchant offers to buy three shirts and get one free. Convert this offer of quantity discount into an equivalent discount rate. - (A) 25% - (B) 20% - (C) 30% - (D) 28% **Question 25:** What is the difference between compound interest and simple interest on ₹4000 at 5% P.a. for 2 years? - (A) 10 - (B) 11 - (C) 20 - (D) 100 **Question 26:** Rakesh buys bananas at ₹24 per dozen and sells them at ₹4 12. Find his gain percent. - (A) 50% - (B) 40% - (C) 45% - (D) 30% **Question 27:** The cost of a pen is 8o% of its printed price for sale. If the shopkeeper sells the pen after allowing a 12% discount, what will be the gain percent? - (A) 10% - (B) 12% - (C) 8% - (D) None of above **Question 28:** Find the gain percent if CP = ₹8000 and Gain = ₹80 - (A) 10% - (B) 100% - (C) 1% - (D) 5% **Question 29:** Ramesh sells a painting to Shyam at 15% profit. Shyam sells it to Arun at 10% loss. If Arun pays ₹517.50 for it, then Ramesh purchased it at? - (A) 500 - (B) 700 - (C) 1200 - (D) 900 **Question 30:** A shopkeeper has given a 20% discount on prices of woolen caps during the sale. If a person wants a discount of ₹400 then how many woolen caps costing ₹400 should be purchased? - (A) 5 - (B) 10 - (C) 6 - (D) 7 **Question 31:** Find the interest on ₹1000 for a period of 5 years at the rate of 5% per annum. - (A) 250 - (B) 1250 - (C) 750 - (D) 450 **Question 32:** What should be added to each term of the ratio 5:6 so that the ratio becomes 3:2? - (A) 4 - (B) 11 - (C) 12 - (D) 9 **Question 33:** Which of the following is correct? - (A) $(A \cup B)' = A' B'$ - (B) $(A \cap B)' = (A \cup B)'$ - (C) $(A \cup B) \cap C = A \cup ( B \cap C)$ - (D) $(A \cup A) = 1$ **Question 34:** If x and y are two sets such that n(x) =54 n(y) = 70 and n(x $\cup$ y)= 100 Find n(x $\cap$ y) - (A) 12 - (B) 24 - (C) 116 - (D) 84 **Question 35:** In a group of 100 students, 60 like Maths, 50 like Science and 32 like both. How many like neither Maths or Science? - (A) 8 - (B) 22 - (C) 25 - (D) None of the above **Question 36:** In how many ways can the word TEMPT be arranged such that both T come together? - (A) 120 - (B) 24 - (C) 12 - (D) 40 **Question 37:** Find the value of $^9C_3 + ^9C_4 + ^9C_5$? - (A) $^{10}C_4$ - (B) $^{18}C_4$ - (C) $^9C_4$ - (D) $^{18}C_3$ **Question 38:** In how many ways 10 bulbs can be arranged so that non-defective and defective bulbs never come together? - (A) 8 x 9! - (B) 8 x 8! - (C) 7x9! - (D) 9 x 8! **Question 39:** In a buffet, there are two tables, each containing 4 dishes. A person is allowed to eat 5 dishes but not more than 3 dishes from any table. In how many ways can 5 dishes be selected? - (A) 24 - (B) 16 - (C) 48 - (D) 64 **Question 40:** The sum of ages of 4 kids is 30 years, each kid is born at the interval of 3 years. Find the age of the elder one. - (A) 12 - (B) 20 - (C) 15 - (D) 18 **Question 41:** In a family, the age of brother and sister are in the ratio 5:3 respectively. After four years, the ratio of their ages is 7:5. What is the present age of the brother? - (A) 6 - (B) 10 - (C) 12 - (D) 20 **Question 42:** Find the compound interest on ₹1000 for 2 years at 2% per annum. - (A) 20 - (B) 20.4 - (C) 20.6 - (D) 20.2 **Question 43:** For two invertible matrices X and Y of suitable orders the value of $(XY)^{-1}$ is? - (A) $(X'Y')^{-1}$ - (B) $Y^{-1} X^{-1}$ - (C) $X^{-1} Y^{-1}$ - (D) $(XY')^{-1}$ **Question 44:** If $A = \begin{bmatrix} 24 & 12 \\ 26 & 28 \end{bmatrix}$, find $A^2$? - (A) $\begin{bmatrix} 24 & 24 \\ 24 & 28 \end{bmatrix}$ - (B) $\begin{bmatrix} 8 & 16 \\ 4 & 42 \end{bmatrix}$ - (C) $\begin{bmatrix} 24 & 1 & 1 \\ 1 & 24 & 1 \\ 1 & 1 & 21 \end{bmatrix}$ - (D) $\begin{bmatrix} 24 & 1 \\ 1 & 21 \end{bmatrix}$ **Question 45:** The inverse of a matrix exists when? - (A) $|A| = 0$ - (B) $A \neq 0$ - (C) $|A| = 1$ - (D) $|A| \neq 1$ **Question 46:** For matrix addition ____ is true. - (A) Commutative Law - (B) Associative Law - (C) Cancellation Law - (D) All of the above **Question 47:** The HCF of two numbers is 13 and the other two factors of their LCM. are 5 and 6. The larger of the two numbers is? - (A) 65 - (B) 78 - (C) 30 - (D) 70 **Question 48:** Three numbers are in the ratio 3:4:5 and their LCM is 1200. Their HCF is? - (A) 40 - (B) 60 - (C) 20 - (D) 30 **Question 49:** The LCM of two numbers is 24. The two numbers are in the ratio 3:2. The difference of the two numbers is? - (A) 8 - (B) 4 - (C) 2 - (D) 6 **Question 50:** Find the highest common factor of 72, 36, 12. - (A) 72 - (B) 12 - (C) 36 - (D) 9 **Question 51:** Find the least number that divides 24, 30, 40, 108 leaving 16 as a remainder. - (A) 1008 - (B) 1096 - (C) 1088 - (D) 1072 **Question 52:** The HCF and LCM of two numbers are 3 and 1170 respectively. If one of the numbers if 45, find the other. - (A) 48 - (B) 42 - (C) 45 - (D) 47 **Question 53:** 10 men can complete the work in 8 days. How many days will it take if 20 men do the job? - (A) 5 - (B) 6 - (C) 7 - (D) 4 **Question 54:** Express 2.5% as a ratio in simplest form. - (A) $\frac{1}{40}$ - (B) $\frac{25}{100}$ - (C) $\frac{25}{10}$ - (D) $\frac{5}{200}$ **Question 55:** Find 40% more than ₹400. - (A) 440 - (B) 460 - (C) 560 - (D) 520 **Question 56:** Arun had to write a book. He wrote 40% of the book pages and still has to write 420 pages. Find the total pages of the book. - (A) 588 - (B) 600 - (C) 652 - (D) 700 **Question 57:** If A and B invested ₹10000 and ₹15000 in a business respectively. If their profit is ₹2400, then find B's share in the profit. - (A) 960 - (B) 480 - (C) 720 - (D) 1440 **Question 58:** A can make a wall in 12 days. If A and B work together, they can make a wall in 20/3 days. B alone can do a work in how many days? - (A) 18 - (B) 15 - (C) 12 - (D) 13 **Question 59:** 5 men can set up the computer lab in 4 days. How many men can set up the lab in half a day? - (A) 80 - (B) 20 - (C) 40 - (D) 10 **Question 60:** The speed of a train is 100 Km/h. What will be its speed in m/sec? - (A) 27.77 m/sec - (B) 25.55 m/sec - (C) 25 m/sec - (D) 27 m/sec **Question 61:** Two trains, one at 18 Km/h and the other at 27Km/h, are going parallel in the opposite direction. If their respective lengths are 100m and 150m, how long will it take them to cross each other? - (A) 12 sec - (B) 12,5 sec - (C) 20 sec - (D) 20.5 sec **Question 62:** A 150m long train crosses a tree in 7.5 sec. Calculate the speed of the train. - (A) 40 Km/hr - (B) 60 Km/hr - (C) 70 Km/hr - (D) 72 Km/hr **Question 63:** Find the average of the first 10 even numbers. - (A) 11 - (B) 12 - (C) 13 - (D) 10 **Question 64:** The average of 9 consecutive numbers is 6. The largest of these numbers is? - (A) 24 - (B) 15 - (C) 11 - (D) 10 **Question 65:** The average of 7 numbers is 59. If the average of four numbers is 57.5 and the average of the last four numbers is 60.5, then the 4th number is? - (A) 59 - (B) 60 - (C) 58 - (D) 61 **Question 66:** The perimeter of a square is 120 cm. What is the area of the square? - (A) 480 $cm^2$ - (B) 900 $cm^2$ - (C) 900 cm - (D) 480 cm **Question 67:** A rectangular table measures 5m by 3m. Each side is bordered with 4 rounds of lace. What it the length of lace needed? - (A) 10m - (B) 64m - (C) 32m - (D) 60m **Question 68:** The value of $Log_3 4 + Log_4 3 + Log_2 3 + Log_3 2$ is? - (A) 1 - (B) -1 - (C) 2 - (D) -2 **Question 69:** Given that $log_{10} 2 = .3010$ then $log_210$ is equal to? - (A) 0.301 - (B) 2.32 - (C) 3.32 - (D) 0.699 **Question 70:** How many terms are in the series 2, 4, 6, ... 160? - (A) 80 - (B) 60 - (C) 70 - (D) 50 **Question 71:** Find the sum of the G.P. series 9 + 27 + 81 + ... 2187 - (A) 3280 - (B) 3276 - (C) 3285 - (D) 2191 **Question 72:** Find the 50th term of the series 9, 14, 19, ... - (A) 254 - (B) 250 - (C) 252 - (D) 256 **Question 73**: Find the missing number of the sequence 4, 16, 64, ___, 1024, 4096 - (A) 252 - (B) 256 - (C) 258 - (D) 260 **Question 74:** The sum of the digits of a two-digit number is 6. When the number is reversed, the number increases by 36. Find the number. - (A) 24 - (B) 15 - (C) 33 - (D) 42 **Question 75:** A container of paint is 3/4 full. When 9 liters of paint is used from the container, it is 1/2 full. What is the capacity of the container? - (A) 27 - (B) 20 - (C) 36 - (D) 32 **Question 76:** A can paint a house in 3 days and B alone can paint a house in 2 days. If they work together, they get ₹225 for painting a house. Find the share of A. - (A) 85 - (B) 80 - (C) 90 - (D) 95 **Question 77:** A boat goes upstream at 26 km/hr and downstream at 36 km/hr. What is the speed of the stream? - (A) 5 km/hr - (B) 2 km/hr - (C) 4 km/hr - (D) 6 km/hr **Question 78:** The product of two numbers is 27, and their product is 180. Find the smaller number. - (A) 12 - (B) 13 - (C) 15 - (D) 14 **Question 79:** Find the roots of the equation $x^2 - 27x + 180 = 0$ - (A) 12 and 15 - (B) -12 and -15 - (C) -12 and 15 - (D) 12 and -15 **Question 80:** If sum of roots = 6, product of roots = -16, construct a quadratic equation. - (A) $x^2 - 6x + 16 = 0$ - (B) $x^2 + 6x - 16 = 0$ - (C) $x^2 - 6x - 16 = 0$ - (D) None of the above **Question 81:** A boat goes 80 km upstream in 8 hours and 72 km downstream in 6 hours. The speed of the boat in standing water is? - (A) 10 km/hr - (B) 11 km/hr - (C) 10.5 km/hr - (D) 11.5 km/hr **Question 82:** A tank is filled in 4 hours, but it takes two hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in? - (A) 12 hrs - (B) 10 hrs - (C) 8 hrs - (D) 6 hrs **Question 83:** An idol contains 20g Gold, 20g Copper, and 40g Silver. Then find out the percentage of copper in the idol? - (A) 25% - (B) 20% - (C) 30% - (D) 15% **Question 84:** If the cost of x meters of curtain is R rupees then what is the cost of y meters of curtain at the same rate? - (A) $\frac{xy}{r}$ - (B) $xy$ - (C) $yr$ - (D) $\frac{yr}{x}$ **Question 85:** Which of the following is not divisible by 11? - (A) 86416 - (B) 16387 - (C) 764852 - (D) 981376 **Question 86:** The rational number between $\frac{1}{3}$ and $\frac{1}{2}$ is? - (A) $\frac{2}{5}$ - (B) $\frac{4}{7}$ - (C) $\frac{2}{3}$ - (D) $\frac{1}{3}$ **Question 87:** If U = {a, b, c, d, e, f} and A = {a, b, c} find $(U \cup A)'$ - (A) U - (B) A - (C) $\phi$ - (D) None of these **Question 88:** Today is Thursday. After 63 days, it will be? - (A) Friday - (B) Thursday - (C) Wednesday - (D) Tuesday **Question 89:** Given that $\sqrt{574.6} = 23.97$ and $\sqrt{5746} = 75.8$, then 0.00005746 equals? - (A) 0.002397 - (B) 0.0002397 - (C) 0.007580 - (D) 0.0007580 **Question 90:** There are 10 balls in a bag. Find the number of ways in which 3 balls are chosen from the bag. - (A) 120 - (B) 125 - (C) 135 - (D) 145 **Directions:** Study the pie chart and answer the questions from 91 to 95 based on the proportion of population of seven villages in 1997. | Village | % Populations below poverty line | |:--:|:--:| | A | 38 | | B | 52 | | C | 42 | | D | 51 | | E | 49 | | F | 46 | | G | 58 | **Question 91:** Find the population of village B below the poverty line in 1997, if it is 12160. - (A) 18500 - (B) 20500 - (C) 22000 - (D) 26000 **Question 92:** The ratio of population of village C below the poverty line to that of village G below the poverty line in 1997 is? - (A) 11:23 - (B) 13:11 - (C) 23:11 - (D) 11:13 **Question 93:** If the population of village A in 1997 is 32000, then what will be the population of village F below the poverty line in that year? - (A) 14100 - (B) 17000 - (C) 16500 - (D) 15600 **Question 94:** The population of F in 1997 is 30,000. Find the population of D in 1997. - (A) 22000 - (B) 20000 - (C) 15000 - (D) 10000 **Question 95:** If the population of village A is 200000. Find the population of A below the poverty line. - (A) 76000 - (B) 72000 - (C) 70000 - (D) 80000 **Study the table given below and answer the question from 96 to 100.** | Year | State | Appeared | Pass | Appeared | Pass | Appeared | Pass | Appeared | Pass | Appeared | Pass | |:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:| | **1997** | A | 520 | 72 | 850 | 98 | 740 | 85 | 680 | 77 | 950 | 112 | | | B | 750 | 84 | 920 | 105 | 845 | 92 | 920 | 98 | 880 | 102 | | | C | 640 | 78 | 880 | 102 | 780 | 89 | 875 | 101 | 975 | 125 | | | D | 810 | 95 | 950 | 124 | 870 | 98 | 970 | 120 | 895 | 99 | | | E | 780 | 87 | 760 | 94 | 980 | 135 | 760 | 94 | 799 | 88| **Question 96:** Combining the states C and D together in 1998