OTS Forest Department Posts Mathematics Ratio & Proportion MCQs with Answers

Question 1

Q1. The ratio of the area of a square to that of the square drawn on its diagonal is?

A) 2:05
B) 3:04
C) 3:05
D) 1:02

Answer: 1:02

Explanation: If the square has side a, its diagonal is a√2; ratio of areas = a² : (a√2)² = 1 : 2.

Question 2

Q2. If A : B : C = 2 : 3 : 4, what is the ratio A/B : B/C : C/A?

A) 8:09:12
B) 9:08:24
C) 8:09:24
D) 8:12:16

Answer: 8:09:24

Explanation: A/B = 2/3, B/C = 3/4, C/A = 4/2 = 2; converting to common denominator gives ratio 8 : 9 : 24.

Question 3

Q3. The ratio of the prices of three articles X, Y and Z is 8 : 5 : 3. If the prices of X, Y and Z are increased by 25%, 20% and 33 1/3% respectively, then what would be the ratio of the new prices of X, Y and Z?

A) 5:03:02
B) 10:06:05
C) 10:07:04
D) 5:04:03

Answer: 5:03:02

Explanation: New prices: X = 8×1.25 = 10, Y = 5×1.20 = 6, Z = 3×(4/3) = 4; ratio = 10 : 6 : 4 = 5 : 3 : 2.

Question 4

Q4. A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is_________?

A) 01-Mar
B) 01-Feb
C) 01-Apr
D) 01-May

Answer: 01-Mar

Explanation: Equal volumes: πr²h = (1/3)πr²H → h/H = 1/3, so the ratio of cylinder height to cone height is 1 : 3.

Question 5

Q5. What is the mean proportional of 4 and 16?

A) ±8
B) ±16
C) ±9
D) None of these

Answer: ±8

Explanation: The correct value is ±8. Apply the formula or arithmetic step shown in the question and

OTS Forest Department Posts Mathematics: Ratio & Proportion MCQs — sample questions