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# 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

### 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

### 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

### Answer : A

**Explanation**

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

### 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 = b:c , then (a^{4} :b^{4} ) =?

### Answer : C

**Explanation**

Given : a/b = b/c => b^{2}=ac. ∴ a^{4}/ b^{4}= a^{4}/ (b^{2})^{2}= a^{4}/ (ac)^{2}= a^{4}/ a^{2}c^{2}=a^{2}/c^{2}> (a^{4}:b^{4})= (a^{2}:c^{2})

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?

### Answer : D

**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?

### Answer : C

**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:-

### Answer : B

**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 :

### 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 - 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?

### Answer : C

**Explanation**

A:B=2:3,B:C=2:3=3/2*2:3/2*3:9/2. C:D=2:3=2*9/4:3*9/4=9/2:27/4. ∴ A:B:C:D=2:3:9/2:27/4=8:12:18:27. A share =Rs(1300*8/65)=Rs160.