# 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 - If three numbers are in the ratio 3:7:11 and double the sum is 84, then the ratio of squares of the numbers is

### Answer : B

**Explanation**

Let the numbers are 3x:7x:11x It is given that 2(3x+7x+11x) = 84 => x=2 Ratio 6:14:22 or 3:7:11 Their squares 9:49:121

Q 2 - The difference between two positive numbers is 20 and their ratio is 3:2.Find the product of the two numbers?

### Answer : B

**Explanation**

Let the numbers be X and Y Difference between the numbers is 20 =>X-Y=20 ------- (1) Ratio of the numbers is 3:2 =>X/Y=3/2 -------- (2) From eqn 1 & 2 3/2 Y-Y=20=>Y=20 & X=40 X*Y=800

### 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 : C

**Explanation**

1/x *1/x =1/5 *1/1.25 => 1/x^{2}=1/6.25 => x^{2}=6.25 => x =&sqrt;6.25 = 2.5

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

### 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 - 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 - What ought to be added to each of the four numbers 6, 14, 18, 38 to make them corresponding?

### Answer : B

**Explanation**

Let the number to be added be x. Then, 6+X/14+x= 18+x/38+x => (6+x) (38+x)= (14+ x) (18 +x) => 228 +44x+x<sup>2</sup> = 252+32x+x<sup>2</sup> = 12x=24 => x=2 . ∴ the required number is 2.

Q 8 - The proportion of first and worthless train passages between two stations is 3:1 and that of the no. of traveler going between two these by first and inferior 1:50 . in the event that on a specific day rs.1325 be gathered from the travelers going between these stations, then the sum gathered from useless travelers is:

### Answer : A

**Explanation**

Ratio of the amounts collected form 1^{st}and 2^{nd}class fares =(3*1:1*50)=3:50. Amount collected from 2^{nd}class passengers=Rs (1325*50/53) = Rs 1250.

Q 9 - Some cash is isolated among A, B and C in a manner that 5 times An offer ,3 times of B's offer and 2 times C offer are all equivalent . The proportion between the offer of A, B, c is:

### Answer : D

**Explanation**

Let 5A= 3B= 2C=k. Then, A = k/5, B = k/3 and C = k/2 ∴ A:B:C =k/5 :k/3:k/2 =6:10:15.

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