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Ratio and Proportion ( 16 to 20 ):

# APTITUDE QUESTIONS (RATIO AND PROPORTION):

16. An amount of Rs.1230 is divided among A, B and C such that if their shares be reduced by Rs.5, Rs.10 and Rs.15 respectively, the remainders shall be in the ratio of 3:4:5. Then, B’s share was:

A) Rs. 605

B) Rs. 590

C) Rs. 400

D) Rs.410

E) None of these

View Answer

Answer: option (C)

Explanation:

Remainder = Rs. [1230 – (5 + 10 + 15)] = Rs. 1200

∴ B’s share = Rs. (1200 * 4/12) + 10 = Rs.400

17. 15 litres of mixture contains 20% of alcohol and the rest water. If we mix 5 litres of water with it, than the percentage of alcohol in the new mixture would be:

A) 15%

B) 16(2/3)%

C) 17%

D) 18(1/2)%

E) None of these

View Answer

Answer: option (A)

Explanation:

Alcohol in 15 litres of mix. = 20% of 15 litres = (20/100 * 15) = 3 litres

Water in it = (15 – 3) = 12 litres.

New quantity of mix. = (15 + 5) = 20 litres.

Quantity of alcohol in it = 3 litres.

Percentage of alcohol in new mix. = (3/20 * 100)% = 15%

18. The ages of A and B are in the ratio 3:1. Fifteen years hence, the ratio will be 2:1. Their present ages are:

A) 30 years, 10 years

B) 45 years, 15 years

C) 21 years, 7 years

D) 60 years, 20 years

E) None of these

View Answer

Answer: option (B)

Explanation:

Suppose, ages of A and B be 3x years and x years respectively.

Then, (3x+15)/(x+15) = 2/1 <=> 2x + 30 = 3x + 15 <=> x = 15

Then, A’s age = (3 * 15) years = 45 years and B’s age = 15 years.

19. In a college, the ratio of the number of boys to girls is 8:5. If there are 150 girls, the total number of students in the college is:

A) 100

B) 250

C) 260

D) 390

E) None of these

View Answer

Answer: option (D)

Explanation:

Let us consider that the number of boys and girls be 8x and 5x respectively. Then 5x = 150 x = 30

∴ Total number of students = 13x = (13 * 30) = 390

20. The sides of a triangle are in the ratio 1/2 : 1/3 : 1/4 and its perimeter is 104 cm. The length of the longest side is:

A) 52 cm

B) 48 cm

C) 32 cm

D) 26 cm

E) None of these

View Answer

Answer: option (B)

Explanation:

Ratio of sides = 1/2 : 1/3 : 1/4 = 6: 4: 3

Largest side = (104 * 6/13) cm = 48cm