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 - X's money is to Y's money as 5:7 and Y's money is to Z's money as 3:4 .If X has Rs.900, Z has

A - 1620

B - 1640

C - 1660

D - 1680

Answer : D

Explanation

X:Y = 5:7 = 15:21, Y:Z = 3:4 = 21:28
X:Y:Z = 15:21:28
X:Z = 15:28
800:Z = 15:28
 =>Z = Rs.1680.

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 A:B = 2:3 , B:C = 4:5 and C:D = 6:7 , Then A:D =?

A - 2:7

B - 7:8

C - 16:35

D - 4:13

Answer : C

Explanation

A/D = (A/B* B/C * C/D ) = (2/3 * 4/5 * 6/7 ) = 16/35 
Thus A:D =16:35

Q 4 - If x/5=y/8,then (x+5):(y+8)=?

A - 3:5

B - 3:8

C - 8:5

D - 5:8

Answer : D

Explanation

Let x/5=y/8 = k ,then x = 5k and y = 8k
&therw4; x+5/y+8 = 5k+5 / 8k +8  = 5(k+1)/ 8(k+1) = 5/8
=> (x+5) : (y+8 ) = 5:8

Q 5 - On the off chance that a:b =c:d =e: f =1:2 , then (3a+5c+7e) : (3b +5d +7f ) = ?

A - 1:2

B - 1:4

C - 2:1

D - 8:7

Answer : A

Explanation

a/b=c/d=e/f=1/2?a= b/2,c=d/2 and e=f/2.
  ∴ (3a+5c+7e)/(3b+5d+7f) =
(3b/2+5d/2+7f/2)/(3b+5d+7f) 
= 1/2(3b+5d+7f)/3b+5d+7f) = 1/2.
=>  (3a+5c+7e):(3b+5d+7f)= 1:2.

Q 6 - In a class, the no. of young women is 20% more than that of the young fellows. The class' quality is 66. If 4 more young women are admitted to the class, what will be the no's extent of young fellows to that of the young women?

A - 1:2

B - 1:4

C - 3:4

D - 3:5

Answer : C

Explanation

Let the number of boys be x.
Then the no. of girls = 120% of x = (120/100 *X)= 6X/5 .
X+6x/5 =66 
=> 5x+6x=330
 => 11x= 330  
=> x= 3
 Now, the no. of boys= 30 , no. of girls =[6/5*30 +4]=40
 Now the ratio of boys and girls = 30/40 = 3/4 =3:4

Q 7 - If a container containing twelve mirrors is dropped, which of the accompanying cannot be the proportion of broken mirror to unbroken mirror?

A - 2:1

B - 3:1

C - 3:2

D - 7:5

Answer : C

Explanation

For dividing 12 in to two whole numbers, the sum of the terms of the ratio must be a factor of 12.
So, they cannot be in the ratio 3:2.

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 - The wage of A and B are in the proportion 3:2 and their uses are in the proportion 5:3. On the off chance that every spares Rs1000, then A pay is :

A - 3000

B - 4000

C - 6000

D - 9000

Answer : C

Explanation

Let the incomes of A and B be Rs 3x and Rs 2x respectively and let their expenditures be Rs 5y and Rs 3y respectively. Then,
3x -5x =1000 ...(i)
 and 2x-3y=1000   ...(ii)
On solving (i) and (ii),we get x=2000.
∴ A income =Rs (3*2000)=Rs 6000.

Q 10 - Vessels An and B contain blends of milk and water in the proportion 4:5 and 5:1 separately .in what proportion ought to amounts of blends be taken From A to B to shape a blend in which drain to water is in the proportion 5:4?

A - 2:5

B - 2:3

C - 4:3

D - 5:2

Answer : D

Explanation

Let the required ratio be X:1
Milk in x ltr. of 1st mix=  (x*4/9)= 4x/9 ltr.
Water in x ltr. of 1st mix= (x-4x/9)= 5x/9 ltr.
Milk in 1 ltr. of 2nd. Mix= 5/6 ltr.
Water in 1 ltr. of 2nd. Mix= {1-5/6}=1/6 ltr.
Milk: water =(4x/9+5/6): (5x/9+1/6) =(8x+15)/18: (10x+3)/18
∴ (8x+15)/(10x+3) =5/4 
=> 4(8x+15)= 5(10x+3)
= 18x=45  
=>x=5/2
Required ratio : 5/2:1 =5:2

aptitude_ratios.htm

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