# 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 - 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

### 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

### 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 : C

**Explanation**

A:B:C = 2:3:4 , let A = 2k, B = 3k and C =4k then, A/B = 2k/3k = 2/3 , B/C = 3k/4k =3/4 and C/A=4k/2k =2/1 ∴ A/B: B/C:C/A= 2/3:3/4:2/1 = 8:9:24

### Answer : D

**Explanation**

X * 17.5 =7*22.5 => X= 7*22.5/17.5 = 7*225/175 =9.

### Answer : C

**Explanation**

20/100* (P+Q) = 50/100* (P-Q) => 20 * (P+Q)=50 *(P-Q) => 20P +20Q = 50P-50Q => 30P=70Q => P/Q=70/30=7/3 => P:Q = 7:3.

Q 6 - Two no. are in the extent 3/2 :8/3, when each of these are extended by 15 , their extent gets the chance to be 5/3 :5/2 . The greater of the no. is :

### Answer : C

**Explanation**

Ratio of the given numbers = 3/2:8/3 = 9 :16 Let the numbers be 9x and 16 x, Then, (9x+15)/ (16 x+15) = (5/3)/ (5/2) =2/3 => 3(9x+15)= 2 (16x+15) => 5x= 15 =x= 3. ∴ Larger no.= (16*3)= 48

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

### 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 no. are in the proportion 3:4:5. The total of the biggest and the littlest measures up to the third's entirety and 52. The littlest no. is?

### Answer : C

**Explanation**

Let the numbers be 3x, 4x and 5x. (5x+3x) = 4x+52 => 4x =52 => x=13 Smallest no. = (3*13) = 39

Q 9 - The pay of A,B and C together add up to rs. 333. If they burn through 80% , 85%, 75% of their livelihoods , their sparing are as 7:6:9 . The pay of B is:

### Answer : D

**Explanation**

Let their savings be Rs 7x, Rs 6x and Rs 9x respectively. A+B+C=333 ?(i) 20/100 A=7x =>A=35x,15/100B=6x =>B=40x,25/100C=9x =>C=36x. ∴ 35x+40x+36x=333 => 111x =333 => x=3 ∴B salary = (40*3)= 120.

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?

### 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