Practice Logical Problems MCQs for FIA Assistant Sub-Inspector (BS-09) math iq — topic-wise sets with solved answers.
Q1. If 1 / 2 of a number is 20, then 1 / 4 of the number is?
Answer: 10
Explanation: First, find the number: 1 / 2 * x = 20 => x = 40. Then, 1 / 4 * 40 = 10.
Q2. A man is 4 times as old as his son. In 16 years, he will be twice as old as his son. What is the man's current age?
Answer: 32
Explanation: Let's denote man's age as M and son's age as S. M = 4S. In 16 years: M + 16 = 2(S + 16). Substituting M = 4S, we get 4S + 16 = 2S + 32, so 2S = 16, S = 8, and M = 32.
Q3. 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 ball's cost as x. The bat costs x + 1.00. So, x + (x + 1.00) = 1.10. This simplifies to 2x + 1.00 = 1.10, so 2x = 0.10, and x = 0.05.
Q4. There are 5 people in a room. If each person shakes hands with every other person exactly once, how many handshakes occur?
Answer: 10
Explanation: The formula to calculate handshakes among 'n' people is n(n-1)/2. For n = 5, we have 5(5-1)/2 = 10.
Q5. A woman has 2 coins that total 30 cents. One coin is not a nickel. What are the 2 coins?
Answer: Quarter and Nickel
Explanation: The statement 'one coin is not a nickel' implies the other could be a nickel. A quarter (25 cents) and a nickel (5 cents) total 30 cents.
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