Untitled Quiz

Quantitative Problems

Problem 1: Given x + 2y = 10 and 2x + y = 10, find x. Answer: 5
Problem 2: Given a = 3 and b = 4, find (a + b)² - (a - b)². Answer: 24
Problem 3: A train travels at 60 km/h and crosses a pole in 9 seconds. Find the train's length. Answer: 150 meters
Problem 4: Simple interest on a sum for 2 years at 5% per annum is Rs. 400. Find the principal amount. Answer: Rs. 4000
Problem 5: Find the smallest prime number. Answer: 2
Problem 6: A can complete a task in 12 days, and B in 16 days. How long will it take both to complete the task together? Answer: 6.4 days
Problem 7: What is the probability of drawing a heart from a standard deck of 52 cards? Answer: 1/4
Problem 8: Solve for x: 3x + 5 = 14 Answer: 3
Problem 9: Find the LCM of 12 and 15. Answer: 60
Problem 10: Two angles of a triangle are 45° and 90°. Find the third angle. Answer: 45°
Problem 11: What is the square root of 144? Answer: 12
Problem 12: How many factors does the number 18 have? Answer: 6
Problem 13: Find the average of 12, 15, 18, and 21. Answer: 16.5
Problem 14: Find the perimeter of a rectangle with length 5 cm and breadth 3 cm. Answer: 16 cm
Problem 15: What is 10% of 200? Answer: 20
Problem 16: If x is an integer such that 5 < x ≤ 105, how many possible values can x have? Answer: 5
Problem 17: Find the area of a circle with radius 7 cm (Use π = 3.14). Answer: 154 cm²
Problem 18: A car travels 300 km in 5 hours. Find the average speed. Answer: 60 km/h
Problem 19: Find the value of (2^3)^2. Answer: 64
Problem 20: Find the value of 12 + 14 + 18 ½ + ¼ + ⅛. Answer: 0.875
Problem 21: Which of the following numbers is a prime number? a) 21, b) 29, c) 35, d) 49. Answer: 29
Problem 22: What is 15% of 200? Answer: 30
Problem 23: If a discount of 20% is given on an item marked at Rs. 500, what is the selling price? Answer: Rs. 400
Problem 24: The HCF of 36 and 48 is? Answer: 12
Problem 25: What is the sum of the first 10 natural numbers? Answer: 55
Problem 26: If x = 5 and y = 2, find 2x + 3y Answer: 16
Problem 27: What is the remainder when 23 is divided by 6? Answer: 5
Problem 28: Solve for x: 5x = 20 Answer: 4
Problem 29: If 10x + 5 = 25, find x. Answer: 2
Problem 30: If a number is divisible by both 2 and 3, it must be divisible by: Answer: 6
Problem 31: What is the value of (72 + 42) * (7² + 4²)? Answer: 65
Problem 32: If the average of 5 numbers is 20, what is their total sum? Answer: 80
Problem 33: The ratio of the ages of two people is 4 : 5. If the sum of their ages is 45, find the age of the younger person. Answer: 18
Problem 34: If 12 workers can complete a job in 8 days, how long will it take 8 workers to complete the same job? Answer: 12 days
Problem 35: If a number is increased by 20% and then decreased by 20%, what is the net effect on the number? Answer: 4% decrease
Problem 36: A car travels 180 km in 3 hours. What is its speed in meters per second? Answer: 10m/s
Problem 37: A shopkeeper buys an item for Rs. 300 and sells it for Rs. 360. What is his profit percentage? Answer: 20%
Problem 38: What is the smallest positive integer divisible by both 3 and 4? Answer: 12
Problem 39: If 12% of a number is 60, what is the number? Answer: 500
Problem 40: The area of a square is 64 cm². What is the length of each side? Answer: 8 cm
Problem 41: A sum of money doubles itself in 6 years at simple interest. What is the rate of interest? Answer: 16.67%
Problem 42: How many numbers between 1 and 100 are divisible by both 3 and 5? Answer: 6
Problem 43: In how many different ways can the letters of the word "COMPUTE" be arranged? Answer: 5040
Problem 44: If a + b = 10 and ab = 21, what is a² + b²? Answer: 35
Problem 45: A person spends 30% of his income on rent and 40% on other expenses. If his monthly income is Rs. 20,000, how much does he save? Answer: Rs 4000 (Calculation)
Problem 46: What is the compound interest on Rs. 5,000 for 2 years at 10% per annum, compounded annually? Answer: Rs 1025
Problem 47: A cylindrical tank has a radius of 5 m and a height of 10 m. What is its volume? (Use π = 3.14). Answer: 785 m³
Problem 48: If a person walks at 6 km/h and reaches his destination 20 minutes early, but if he walks at 5 km/h he is 10 minutes late. What is the distance to his destination? Answer: 6 km
Problem 49: What is the probability of flipping a coin three times and getting heads each time? Answer: 1/8
Problem 50: Rs. 1200 is divided among A, B, and C in the ratio 2:3:5. What is C's share? Answer: 600
Additional Problems