Analytical Reasoning MCQs set 3 for FIA Telephone Operator (BS-07) math iq — 20 solved questions.
Q1. If a person can complete a task in 10 days, how many days will it take for 5 people to complete the same task?
Answer: 2
Explanation: If 1 person takes 10 days, 5 people will take 10 / 5 = 2 days.
Q2. A man is 4 times as old as his son. If the sum of their ages is 40, how old is the son?
Answer: 8
Explanation: Let the son's age be x. Then, the man's age is 4x. So, x + 4x = 40, 5x = 40, x = 8.
Q3. If the area of a circle is 16 * π, what is its radius?
Answer: 4
Explanation: Area = π * r² = 16 * π. So, r² = 16, r = √16 = 4.
Q4. A train travels 240 km in 4 hours. How many kilometers will it travel in 7 hours?
Answer: 420
Explanation: Speed = 240 / 4 = 60 km/h. Distance in 7 hours = 60 * 7 = 420 km.
Q5. A bookshelf has 5 shelves, and each shelf can hold 8 books. If the bookshelf is currently empty, how many books can be placed on it?
Answer: 40
Explanation: Total capacity = 5 shelves * 8 books/shelf = 40 books. NET aptitude items reward fast recognition of the underlying pattern.
Q6. If a person invests 1000 at 5% interest, how much will they have after 1 year?
Answer: 1050
Explanation: Interest = 1000 * 5 / 100 = 50. Total amount = 1000 + 50 = 1050.
Q7. A bakery sells 150 cakes per day at 10 / cake. What is the daily revenue?
Answer: 1500
Explanation: Daily revenue = 150 * 10 = 1500. NET aptitude items reward fast recognition of the underlying pattern.
Q8. If a car accelerates from 0 to 60 km/h in 10 seconds, what is its average acceleration?
Answer: 6
Explanation: Average acceleration = (60 - 0) / 10 = 6 km/h/s. NET aptitude items reward fast recognition of the underlying pattern.
Q9. A group of friends want to share some money. If they have 48 dollars and there are 8 friends, how much will each friend get?
Answer: 6
Explanation: Each friend will get 48 / 8 = 6 dollars. NET aptitude items reward fast recognition of the underlying pattern.
Q10. There are 5 people in a room. On average, each person shakes hands with every other person exactly once. How many handshakes occur?
Answer: 10
Explanation: The formula to calculate handshakes (or combinations) is n(n-1)/2, where n is the number of people. So, 5(5-1)/2 = 5*4/2 = 10.
Q11. If 1 / 2 of a tank is filled in 1 / 4 hour, how long will it take to fill the tank completely?
Answer: 1 / 2 hour
Explanation: If 1/2 tank is filled in 1/4 hour, then the whole tank will be filled in 2 * (1/4) = 1/2 hour.
Q12. A, B, C, D, E are sitting in a row. B is between A and E. If A is at one end and there are 3 people between A and B, who is at the other end?
Answer: E
Explanation: Since A is at one end and there are 3 people between A and B, the order is A, _, _, _, B. So, the sequence becomes A, C, D, E, B.
Q13. In a group of 50 people, 30 like tea, 25 like coffee, and 15 like both. How many people like neither tea nor coffee?
Answer: 10
Explanation: People who like tea or coffee = People who like tea + People who like coffee - People who like both = 30 + 25 - 15 = 40. So, people who like neither = 50 - 40 = 10.
Q14. A is twice as good as B and together they finish a piece of work in 16 days. How many days will A alone take to finish the work?
Answer: 24 days
Explanation: If A is twice as good as B, then A's work rate is 2x and B's is x. Together, they work at a rate of 3x. So, 3x * 16 = work. A's rate is 2x, so 2x * days = work.
Q15. A train 100 meters long takes 3 seconds to cross a man walking at 5 km/h in the same direction. What is the speed of the train?
Answer: 45 km/h
Explanation: Relative speed = (length of train) / (time taken) = 100 / 3 m/s = (100/3) * (18/5) km/h = 120 km/h. Let the speed of the train be S. Relative speed = S - 5.
Q16. If 15 men can reap a field in 28 days, how many days will 5 men take to reap the same field?
Answer: 84
Explanation: The work done by 15 men in 28 days is the same as the work done by 5 men in x days. So, 15 * 28 = 5 * x, x = (15 * 28) / 5 = 84.
Q17. A and B can do a job in 6 and 12 days respectively. They start working together but after 2 days, A leaves. How many more days will B take to finish the job?
Answer: 3
Explanation: A's 1 day work = 1/6, B's 1 day work = 1/12. Together, they do 1/6 + 1/12 = 3/12 = 1/4 of the work in 1 day. In 2 days, they do 1/2 the work. So, 1/2 work is left for B to do.
Q18. What is the missing number in the series: 2, 4, 8, 16, ?, 64
Answer: 32
Explanation: The series is a geometric progression where each term is twice the previous one. So, the next number is 16 * 2 = 32.
Q19. In a certain code, 'TEACHER' is coded as 'VGCEJGT'. How is 'Pupil' coded?
Answer: RWPNL
Explanation: Each letter is shifted 2 places forward in the alphabet. So, 'P' becomes 'R', 'U' becomes 'W', 'P' becomes 'R', 'I' becomes 'K', 'L' becomes 'N'. Hence, 'PUPIL' is coded as 'RWPNL'.
Q20. A man walks 1 km towards East, then 2 km towards North, then 1 km towards East. What is the distance between his initial and final position?
Answer: √20 km
Explanation: The total eastward distance is 2 km and the northward distance is 2 km. Using Pythagoras theorem, the distance between initial and final position is √(2² + 2²) = √8 = √(4*2) = √4*√2 = 2√2 km, but 2√2 ² = 8, hence √(2² + 4²) = √(4 + 16) = √20.