STAT Logical and Numerical Problem-Solving 5

Question 1

The ratio of boys to girls in a class is 3:5. If there are 24 boys, how many students are in the class total?

Accepted Answer

64

Answer

24 boys = 3 parts → 1 part = 8; girls = 5 × 8 = 40; total = 24 + 40 = 64.

Question 2

Which term completes the analogy? Doctor : Hospital :: Pilot : ?

Accepted Answer

Airplane

Answer

A doctor works in a hospital; a pilot works in an airplane.

Question 3

A square and an equilateral triangle have equal perimeters. If the triangle's side length is 8 cm, what is the area of the square?

Accepted Answer

36 cm²

Answer

Triangle perimeter = 24 cm; square side = 24/4 = 6 cm; area = 36 cm².

Question 4

Which of these numbers is divisible by both 4 and 9?

Accepted Answer

108

Answer

108 = 4 × 27 (divisible by 4) and 1+0+8 = 9 (divisible by 9); none of the others meet both conditions.

Question 5

If today is Wednesday, what day will it be 100 days from now?

Accepted Answer

Monday

Answer

100 ÷ 7 = 14 remainder 2; Wednesday + 2 days = Friday — wait: 100 mod 7 = 2, so Wednesday + 2 = Friday.

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