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Quantitative Aptitude

RATIO AND PROPORTION MCQs

Ratio & Proportion, Ratio, Proportion

Total Questions : 895 | Page 54 of 90 pages
Question 531. A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share?
  1.    Rs. 500
  2.    Rs. 1500
  3.    Rs. 2000
  4.    None of these
 Discuss Question
Answer: Option C. -> Rs. 2000


Let the shares of A, B, C and D be 5x, 2x, 4x and 3x Rs. respectively. Then, 4x - 3x = 1000 => x = 1000.B's share = Rs. 2x = 2 * 1000 = Rs. 2000.


Question 532. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
  1.    2:5
  2.    3:7
  3.    5:3
  4.    7:3
 Discuss Question
Answer: Option C. -> 5:3


Let 40% of A = 2/3 B. Then,40A/100 = 2B/3 => 2A/5 = 2B/3A/B = (2/3 * 5/2) = 5/3A:B = 5:3.


Question 533. The fourth proportional to 5, 8, 15 is:
  1.    18
  2.    24
  3.    19
  4.    20
  5.    21
 Discuss Question
Answer: Option B. -> 24


Let the fourth proportional to 5, 8, 15 be x.Then, 5:8 :: 15:xx = (8 * 15)/5 = 24.


Question 534. The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10% respectively. What will be the new ratio?
  1.    8:9
  2.    17:18
  3.    21:22
  4.    Cannot be determined
 Discuss Question
Answer: Option C. -> 21:22


Originally, let the number of boys and girls in the college be 7x and 8x respectively. Their increased number is (120% of 7x) and (110% of 8x).i.e., (120/100 * 7x) and (110/100 * 8x)i.e., 42x/5 and 44x/5Required ratio = 42x/5 : 44x/5 = 21:22


Question 535. The third proportional to 1 and 2 is?
  1.    2
  2.    3
  3.    4
  4.    1
 Discuss Question
Answer: Option C. -> 4


(2*2)/1
= 4


Question 536. The ratio of two numbers is 2:3 and the sum of their cubes is 945. The difference of number is?
  1.    3
  2.    4
  3.    5
  4.    6
 Discuss Question
Answer: Option A. -> 3


2x   3x

8x cube + 27x cube = 945

35x cube = 945


x cube = 27 => x = 3


Question 537. The fourth proportional to 12, 14 and 18 is?
  1.    21
  2.    20
  3.    22
  4.    28/3
 Discuss Question
Answer: Option A. -> 21


(14*18)/12
= 21


Question 538. The proportion of copper and zinc in the brass is 13:7. How much zinc will there be in 100 kg of brass?
  1.    20 kg
  2.    35 kg
  3.    55 kg
  4.    14 kg
 Discuss Question
Answer: Option B. -> 35 kg


7/20
* 100 = 35


Question 539. The
mean proportional between 4 and 9 is?

  1.    9
  2.    3
  3.    6
  4.    4
 Discuss Question
Answer: Option C. -> 6

Themean Proportional Between 4 And 9 Is?


Question 540. The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
  1.    36
  2.    24
  3.    12
  4.    6
 Discuss Question
Answer: Option C. -> 12


x, 2x

(x-2):(2x-2) = 1:3

3x-6 = 2x-2

x = 4


x+2x = 3x

=> 3*4 = 12


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