Analytical Reasoning MCQs set 2 for PIEAS Entry Test intelligence — 20 solved questions.
Q1. A man is 4 times as old as his son. After 16 years, he will be twice as old as his son. What is the son's current age?
Answer: 8 years
Explanation: Let's denote son's age as S and man's age as M. M = 4S. After 16 years, M + 16 = 2(S + 16). Substituting M = 4S, we get 4S + 16 = 2S + 32, simplifying to 2S = 16, hence S = 8.
Q2. A box contains 12 red balls and 8 blue balls. What is the minimum number of balls to be drawn to ensure at least 2 blue balls?
Answer: 14
Explanation: Worst-case scenario: drawing all red balls first. So, 12 red + 2 blue = 14 balls.
Q3. If the area of a circle is πr², what is the radius if the area is 16π?
Answer: 4
Explanation: πr² = 16π. Dividing both sides by π gives r² = 16. So, r = √16 = 4.
Q4. A train travels from City A to City B at 60 km/h and returns at 40 km/h. What is the average speed?
Answer: 48 km/h
Explanation: Average speed = 2 * speed1 * speed2 / (speed1 + speed2) = 2 * 60 * 40 / (60 + 40) = 4800 / 100 = 48 km/h.
Q5. The sum of three consecutive integers is 27. What is the middle integer?
Answer: 9
Explanation: Let the integers be n-1, n, n+1. Their sum = 3n = 27, so n = 9.
Q6. A, B, and C can do a job in 10, 15, and 20 days, respectively. How long will they take if they work together?
Answer: 4.7 days
Explanation: Their combined rate = 1/10 + 1/15 + 1/20 = (6 + 4 + 3)/60 = 13/60. So, time taken = 60/13 = 4.615 days.
Q7. What is the next number in the sequence: 2, 4, 8, 16, ?
Answer: 32
Explanation: The sequence is obtained by doubling the previous number, so the next number is 16 * 2 = 32.
Q8. A is twice as fast as B. If B takes 12 days to complete a task, how many days will A take?
Answer: 6 days
Explanation: If A is twice as fast as B, A will take half the time B takes. So, A will take 12 / 2 = 6 days.
Q9. The ratio of the ages of two people is 3:5. If the sum of their ages is 40, what is the age of the younger person?
Answer: 15
Explanation: Let their ages be 3x and 5x. 3x + 5x = 40, so 8x = 40, x = 5. The younger person's age = 3x = 3 * 5 = 15.
Q10. A car travels 250 km in 5 hours. What is its average speed?
Answer: 50 km/h
Explanation: Average speed = Total distance / Total time = 250 km / 5 hours = 50 km/h.
Q11. What comes next in the pattern: 1, 2, 4, 7, 11, ?
Answer: 16
Explanation: The pattern is formed by adding 1, 2, 3, 4, 5, ... to the previous term. So, the next difference is 5, making the next number 11 + 5 = 16.
Q12. A bat and a ball together cost 1.10. The bat costs 1.00 more than the ball. How much does the ball cost?
Answer: 0.05
Explanation: Let's denote the cost of the ball as x. Then, the bat costs x + 1.00. x + (x + 1.00) = 1.10, so 2x = 0.10, x = 0.05.
Q13. If a bakery sells 250 loaves at 2 each, what is its total revenue?
Answer: 500
Explanation: Total revenue = Number of loaves * Price per loaf = 250 * 2 = 500.
Q14. A group of friends want to share some money. If they have 120 and there are 8 friends, how much will each get?
Answer: 15
Explanation: Each friend will get 120 / 8 = 15. NET aptitude items reward fast recognition of the underlying pattern.
Q15. A person travels 30 km north, then 40 km east. What is the straight-line distance from the starting point?
Answer: 50 km
Explanation: Using Pythagoras' theorem: √(30² + 40²) = √(900 + 1600) = √2500 = 50 km.
Q16. If the price of a commodity increases by 25%, by how much percent should the consumption be reduced to keep the expenditure the same?
Answer: 20%
Explanation: Let's denote original price and consumption as P and C. Original expenditure = PC. New price = 1.25P. To keep expenditure the same, 1.25P * new C = PC. So, new C = C / 1.25 = 0.8C, meaning a 20% reduction.
Q17. If 1 / 2 of a number is 20, then 3 / 4 of the number is?
Answer: 30
Explanation: Let x be the number. Then, x / 2 = 20, x = 40. So, 3x / 4 = 3 * 40 / 4 = 30.
Q18. If a bakery sells 250 loaves of bread at 2 / loaf and 300 loaves at 1.5 / loaf, what is the total revenue?
Answer: 950
Explanation: Total revenue = (250 * 2) + (300 * 1.5) = 500 + 450 = 950.
Q19. If the ratio of two numbers is 3 : 4 and their sum is 28, what is the larger number?
Answer: 16
Explanation: Let the numbers be 3x and 4x. Then, 3x + 4x = 28, 7x = 28, x = 4. So, the larger number is 4x = 4 * 4 = 16.
Q20. A box contains 5 red balls and 3 blue balls. What is the probability of drawing a red ball?
Answer: 5/8
Explanation: Probability = Number of red balls / Total number of balls = 5 / (5 + 3) = 5 / 8.