# Aptitude - Ratios Online Quiz

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. 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

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

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 and b:c =4:5 , then c:a =?

A - 15:8

B - 6:5

C - 8:5

D - 8:15

Explanation

```A/C = (a/b *b/c) = (2/3*4/5 ) = 8/15
C/A =15/8 ,
so C:A = 15:8
```

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

A - 3:5

B - 3:8

C - 8:5

D - 5:8

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 = b:c , then (a4 :b4 ) =?

A - b2:a2

B - c2:a2

C - a2:c2

D - a 2:b2

Explanation

```Given : a/b = b/c
=> b2=ac.
∴  a4  / b4  =   a4 / (b2)2
=  a4 / (ac)2 = a4 / a2c2 =a2/c2
> (a4  :b4  )= (a2:c2)
```

Q 6 - The proportion of winning of An and B is 8:9 , if the gaining of An is expanded by half and procuring of B is diminished by 25%, the new proportion of their acquiring is 16:9 , what are An acquiring?

A - 22000

B - 28500

C - 37000

D - cannot be resolved

Explanation

```New earnings of A and B=Rs (150% of 8x), Rs (75%of 9x)
=Rs (150/100*8x), Rs (75/100*9x) = Rs 12x,Rs 27x/4
Ratio of new earnings = 12x: 27x/4 = 48:27 = 16:9.
Thus, we cannot find A's earnings.
```

Q 7 - At the point when 20% of a no. is added to another no., the no. increment by half. What is the proportion between the first and the second no?

A - 3:2

B - 2:3

C - 5:2

D - cannot be resolved

Explanation

```Let the numbers be x and y. Then,
Y+ 20x/100 = (150/100)y
=> x/5 ={ (3/2)y-y}= y/2
=> 2x-5y
=> x/y=5/2
=> x:y =5:2
```

Q 8 - Rs. 680 is separated among A, B, C such that A gets 2/3 of what B gets and B gets 1/4 of what C gets. At that point their shares are separately:-

A - 75, 325, 280

B - 80 ,120, 480

C - 90 ,210, 380

D - 100, 200, 380

Explanation

```Suppose C gets Rs. x. then B gets Rs. x/4 and gets Rs. (2/3*x/4)= x/6.
∴x/6+x/4+x=680
=>2x+3x+12x=8160
=> 17x= 8160
=> x=480
∴ A gets rs. 80, B gets rs. 120 and C gets rs. 480
```

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

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 - Rs 1300 are separated among A,B,C and D in a manner that: A share / B share = B share / C share =C share/ D share = 2/3, What is A share?

A - 320

B - 240

C - 160

D - 140

```A:B=2:3,B:C=2:3=3/2*2:3/2*3:9/2.