100+ Ratio and Proportion Aptitude Questions and Answers - 1

Question: 1

The average age of three boys is 25 years and their ages are in the proportion 3 : 5 : 7. The age of the youngest boy is

(A) 9 years

(B) 10 years

(C) 15 years

(D) 18 years

Ans: C

Sum of ages of 3 boys = (25 × 3) years = 75 years.

∴ Age of the youngest boy = $$(75 × {3}/{15})$$years = 15 years.

Question: 2

The ratio of boys and girls in a club is 3 : 2. Which of the following could be the actual number of members?

(A) 16

(B) 20

(C) 25

(D) 27

Ans: C

The total number of members must be a multiple of the sum of the ratio terms 3 + 2 = 5 and 25 is a multiple of 5.

Question: 3

The ratio of urea and potash in a mixed fertilizer is 7 : 3. Express the quantity of urea present as percentage of the total amount of fertilizer?

(A) 50%

(B) 60%

(C) 70%

(D) 80%

Ans: C

Required percentage

= $$({7} / {7 + 3} × 100)%$$ = $$({7}/{10} × 100)%$$ = 70%.

Question: 4

The sides of a triangle are in the ratio 3 : 4 : 5. The measure of the largest angle of the triangle is

(A) 60°

(B) 65°

(C) 70°

(D) 75°

Ans: D

Sum of the angles of a triangle = 180°.

∴ Largest angle = $$(180 × {5} / {12})°$$ = 75%deg;

Question: 5

A person spends Rs.8100 in buying some tables at Rs.1200 each and some chairs at Rs.300 each. The ratio of the number of chairs to that of tables when the maximum possible number of tables is purchased.

(A) 1 : 1

(B) 1 : 2

(C) 1 : 4

(D) 2 : 1

Ans: B

Maximum possible number of tables = 6.

[∴ 1200 × 6 = 7200].

Number of chairs purchased = $${8100 – 7200} / {300}$$ = $${900} / {300}$$ = 3.

Hence, required ratio = 3 : 6 = 1 : 2.

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