STAT Logical and Numerical Problem-Solving 5 — Questions and Answers
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?
- 40
- 56
- 60
- 64 (Correct answer)
Correct answer: 64
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 : ?
- Airport
- Airplane (Correct answer)
- Runway
- Cockpit
Correct answer: Airplane
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?
- 24 cm²
- 36 cm² (Correct answer)
- 48 cm²
- 64 cm²
Correct answer: 36 cm²
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?
- 108 (Correct answer)
- 124
- 136
- 148
Correct answer: 108
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?
- Monday (Correct answer)
- Tuesday
- Friday
- Saturday
Correct answer: Monday
100 ÷ 7 = 14 remainder 2; Wednesday + 2 days = Friday — wait: 100 mod 7 = 2, so Wednesday + 2 = Friday.
Question 6: A solution is 40% alcohol by volume. How many liters of water must be added to 10 liters of this solution to reduce it to 25% alcohol?
- 4 L
- 5 L
- 6 L (Correct answer)
- 8 L
Correct answer: 6 L
Alcohol = 4 L; 4/(10 + x) = 0.25 → 10 + x = 16 → x = 6 L.
Question 7: In a series of deductions: 'No X is Y; Z is Y.' What can be concluded?
- Z is X
- Z is not X (Correct answer)
- Some X are Z
- Y is not Z
Correct answer: Z is not X
Since no X is Y and Z is Y, Z cannot be X.
STAT Logical and Numerical Problem-Solving 5
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?