Aptitude - Ratios Online Quiz


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Following quiz provides Multiple Choice Questions (MCQs) related to Ratios. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers

Q 1 - Divide Rs. 1500 among U,V,W,X so that u and V together get thrice as much as W and X together, V gets four times of what W gets and W gets 1.5 times as much as X. V gets Rs

A - 800

B - 900

C - 700

D - 450

Answer : B

Explanation

U+V+W+X=1500 ------ (1)
Here   U+V=3(W+X)
From (1)
And 4(W+X) =1500 => W+X=375
U+V=1125
Given that V=4W & W=1.5X
=> 2.5X = 375 => X=150
=> V=4*1.5*X=900

Q 2 - The speed of three trains is in the ratio 3:5:7. The ratio between the time taken by these trains to travel the same distance is

A - 35:21:15

B - 7:5:3

C - 35:15:13

D - 15:21:35

Answer : A

Explanation

Speeds are in the ratio 3:5:7
Ratio of time taken will be  1/3:1/5:1/7
=> 35/105:21/105:15/105 =35:21:15

Q 3 - If 0.6*A= 0.09*B, then A:B= ?

A - 2:3

B - 1:15

C - 20:3

D - 3:20

Answer : D

Explanation

0.6*A = 0.09 *B A/B =0.09/0.6 = 0.09/0.60 = 9/60 =3/20 
∴A:B = 3:20

Q 4 - If 2A =3B and 4B=5C,then A:C=?

A - 3:4

B - 15:8

C - 8:15

D - 4:3

Answer : B

Explanation

2A =3B thus A/B=3/2 and 4B=5C thus B/C = 5/4 
∴  A/C=(A/B*B/C)
= (3/2*5/4) = 15/8 A:C =15:8.

Q 5 - On separating a total of rs. 832 in the middle of An and B in the proportion 1/3 :1/5 , there offer are :

A - 520 , 312

B - 500, 332

C - 530 ,302

D - 490 , 342

Answer : A

Explanation

Given ratio =1/3: 1/5 = 5:3
Ist part=Rs(832*5/8)=Rs 520; 
2nd part = Rs(832*3/8)=Rs 312.

Q 6 - The no's proportion of understudy concentrating on in school A,B and C is 5:6:8 . In the event that the no. of understudy in each of the schools is expanded by 30%, 25% and 25% individually, what will be the new proportion of the understudy in the school A, B and C?

A - 14:15:20

B - 13:15:20

C - 15:17:19

D - 16:17:19

Answer : B

Explanation

New strength = (130% of 5x), (125% of 6x) and (125% of 8x)
= (130/100*5x), (125/100*6x),(125/100*8x)
New ratio=650x/100:750x/100:1000x/100=65:75:100=13:15:20.

Q 7 - A portion bears the same proportion to 1/27 as 3/7 does to 5/9, the part is :

A - 7/45

B - 1/35

C - 45/7

D - 5/21

Answer : B

Explanation

Let the fraction be X. Then,
 X:1/27 = 3/7 :5/9
=> x *5/9= 1/27 *3/7
  = 1/63  
=> 
x=(1/63*9/5) = 1/35
 Required fraction =1/35

Q 8 - Three numbers A , B and C are in the proportion 1:2 :3. Their normal is 600. In the event that An is expanded by 10% and B is diminished by 20 %, then to get the normal expanded by 5%, C will be expanded by:

A - 90

B - 100

C - 150

D - 180

Answer : D

Explanation

Let A= x, B= 2x and C=3x, then,
      (X+2x+3x)/3 =600 
=> 6x =1800 
=>x= 300
  ∴  the numbers are 300, 600, 900.
  New average= 105% of 600 =(105/100*600)= 630.
    Let 110% of 300+ 80% of 600 +y=630*3
     => (110/100*300) +(80/100*600)+y =1890
=> (330+480)+y= 1890 
=> y=1890-810 =1080
     Increase in C= (1080-900) =180.

Q 9 - Rs. 600 are partitioned among A, B and C such that Rs. 40 more than 2/fifth of An offer , Rs. 20 more than 2/7 of B offer and Rs. 10 all the more then 9/17 of C offer may all be equivalent . What is A's offer?

A - 280

B - 150

C - 170

D - 200

Answer : B

Explanation

(2/5)A +40 = ( 2/7)B +20 + 9/17 C+10 = k.
Then, A =5/2 (k-40), B= 7/2(k-20) and C= 17/9 (k-10)
A+B+C =600 =>5/2 (k-40) +7/2(k-20) + 17/9 (k-10) = 600
=> 45(k-40) +63(k-20)+34(k-10)= 10800
=> 142k- (45*40+63*20+34*10) =10800
=> 142k- (10800+3400) = 14200 
=>k=100.
∴ A= 5/2(100-40)= (5/2*60) =150

Q 10 - A blend contains drain and water in the proportion 5:1. On including 5 liters of water, the proportion of milk to water gets to be 5:2. The amount of milk in the first blend is:

A - 16 liters

B - 22.75 liters

C - 25 liters

D - 32.5 liters

Answer : C

Explanation

In the given mixture, Let milk = 5x liter and water =x liters.
Then, 5x/x+5= 5/2 
=> 10x= 5x+25 
=>5x =25 
=>x=5
∴ milk in original mixture= (5*5) =25 liters 

aptitude_ratios.htm

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