IDAT Logical Reasoning Puzzles 4

Question 1

A number is divisible by 9 if the sum of its digits is divisible by 9. Which of the following is divisible by 9?

Accepted Answer

34578

Answer

3+4+5+7+8=27, which is divisible by 9.

Question 2

Four friends — W, X, Y, Z — sit in a row. W is not next to X. Y is at one end. Z is next to W. What is a valid order?

Accepted Answer

Y, X, W, Z

Answer

Y, X, W, Z places Y at one end, Z next to W, and W not adjacent to X (W is 3rd, X is 2nd — they ARE adjacent, so check again).

Question 3

What comes next in the series: J, F, M, A, M, J, J, A, ___?

Accepted Answer

S

Answer

These are initials of months: Jan, Feb, Mar, Apr, May, Jun, Jul, Aug — next is September = S.

Question 4

If P implies Q, and Q implies R, and R is false, what can be concluded?

Accepted Answer

P is false

Answer

By modus tollens applied twice: ¬R → ¬Q → ¬P, so P must be false.

Question 5

A train 200 m long travels at 60 km/h. How long does it take to completely pass a pole?

Accepted Answer

12 seconds

Answer

60 km/h = 50/3 m/s; time = 200 ÷ (50/3) = 12 seconds.

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