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Quantitative Aptitude

RATIO AND PROPORTION MCQs

Ratio & Proportion, Ratio, Proportion

Total Questions : 895 | Page 55 of 90 pages
Question 541. The first three terms of a proportion are 3, 9 and 12. The fourth term is?
  1.    4
  2.    6
  3.    18
  4.    36
 Discuss Question
Answer: Option D. -> 36


(9*12)/3 = 36


Question 542. A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
  1.    10cm
  2.    20cm
  3.    25cm
  4.    30cm
 Discuss Question
Answer: Option B. -> 20cm


1: 2/5 = 5: 2

2/7 * 70 = 20


Question 543. 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
  1.    38
  2.    40
  3.    42
  4.    48
 Discuss Question
Answer: Option C. -> 42


x/7 = y/9 => x:y = 7:9


7/16 * 96 = 42


Question 544. 1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
  1.    10.5
  2.    11.5
  3.    12.5
  4.    10.4
 Discuss Question
Answer: Option C. -> 12.5


1000*15 = 1200*x


 x = 12.5


Question 545. A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
  1.    3 days
  2.    8 days
  3.    10 days
  4.    6 days
 Discuss Question
Answer: Option C. -> 10 days


400 --- 31

400 --- 3

120 --- ?

400*3 = 120*x => x =10 days


Question 546. A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
  1.    15
  2.    18
  3.    21
  4.    24
 Discuss Question
Answer: Option B. -> 18


A:B = 2:3

B:C = 2:5

A:B:C = 4:6:15


6/25 * 75 = 18


Question 547. The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
  1.    1/32
  2.    1/42
  3.    1/16
  4.    12/71
 Discuss Question
Answer: Option B. -> 1/42


2/3
* 6/7 * 1/3 * 1/8 = 1/42


Question 548. An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2400, what will be the
difference between Q and R's share?
  1.    Rs.2800
  2.    Rs.3000
  3.    Rs.2400
  4.    Rs.3200
 Discuss Question
Answer: Option B. -> Rs.3000


4 --- 2000


5 --- ?  => 3000


Question 549. A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the
total amount?
  1.    Rs.90
  2.    Rs.105
  3.    Rs.96
  4.    Rs.120
 Discuss Question
Answer: Option B. -> Rs.105


x:y:z = 100:45:30

            20:9:6

9
--- 27


35
--- ? => 105


Question 550. Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
  1.    100
  2.    115
  3.    120
  4.    110
 Discuss Question
Answer: Option C. -> 120


4x           5x           6x

100        50           25

400x + 350x + 150x = 16000

x
= 20


6x
= 120


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