12
Q:

If (3/2)X = (5/7)Y = (6/5)Z, then what is X : Y : Z?

 

A) 105 : 50 : 84 B) 24 : 25 : 32
C) 15 : 21 : 25 D) 20 : 42 : 25

Answer:   D) 20 : 42 : 25



Explanation:
Subject: Ratios and Proportions
Exam Prep: Bank Exams
Q:

A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively.

A) 360, 160, 200 B) 160, 360, 200
C) 200, 360,160 D) 200,160,300
 
Answer & Explanation Answer: C) 200, 360,160

Explanation:

let ratio be x.

Hence no. of coins be 5x ,9x , 4x respectively

Now given total amount = Rs.206

=> (.50)(5x) + (.25)(9x) + (.10)(4x) = 206

we get x = 40

=> No. of 50p coins = 200

=> No. of 25p coins = 360

=> No. of 10p coins = 160

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1959 226425
Q:

The compounded ratio of (2 : 3), (6: 11) and (11 :2) is

A) 1:2 B) 2:1
C) 11:24 D) 36:121
 
Answer & Explanation Answer: B) 2:1

Explanation:

Compounded Ratio :: When we compound two or more ratio's with each other through product or multiplication, the result is simply a compound ratio.

Thus, the product of two or more ratios; i.e, ab:cd is a ratio compounded of the simple ratios a:c and b:d.

 

Required compounded ratio = (2/3 x 6/11 x 11/2) = 2/1. 

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Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

315 66677
Q:

A sum of Rs. 427 is to be divided among A, B and C such that 3 times A’s share, 4 tunes B’s share and 7 times C’s share are all equal. The share of C is :

A) 84 B) 140
C) 196 D) 240
 
Answer & Explanation Answer: A) 84

Explanation:

3A = 4B = 7C = k,Then A = k/3, B = k/4 and C= k/7.

A : B : C = k/3 : k/4 : k/7 = 28:21 :12.

Cs share = Rs. [427 x (12/61)] = Rs. 84

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183 50968
Q:

In a college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, the total number of students in the college is

A) 100 B) 250
C) 260 D) 416
 
Answer & Explanation Answer: D) 416

Explanation:

Let the number of boys and girls be 8x and 5x.
Total number of students = 13x = 13 * 32 = 416.

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97 23025
Q:

The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. By what percent is the salary of C more than that of A?

A) 100 % B) 200%
C) 300% D) 600%
 
Answer & Explanation Answer: B) 200%

Explanation:

Let the salaries of A, B, C be x, 2x and 3x respectively.

Then,2x + 3x = 6000  => x = 1200.

A's salary = Rs. 1200, B's salary = Rs. 2400, and Cs salary Rs. 3600.
Excess of C's salary over A's=[ (2400 /1200) x 100] = 200%.

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143 54728
Q:

If 0.75: x :: 5:8, then x is equal to:

A) 1.12 B) 1.16
C) 1.20 D) 1.30
 
Answer & Explanation Answer: C) 1.20

Explanation:

(x * 5) = (0.75 *8)

X=6/5 = 1.20

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255 68339
Q:

A mixture contains alcohol and water in the ratio 4:3. If 5 liters of water is added to the mixture, the ratio becomes 4:5. Find the quantity of alcohol in the given mixture.

A) 8 Liters B) 10 Liters
C) 18 Liters D) 22 Liters
 
Answer & Explanation Answer: B) 10 Liters

Explanation:

Let the quantity of alcohol and water be 4x liters and 3x liters respectively. Then,

 

(4x)/(3x+5) = 4/5

 

=> 20x = 4(3x+5) 

 

=> x = 2.5 

 

Quantity of alcohol = (4 * 2.5) liters = 10 liters.

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12 8722
Q:

If Rs. 782 be divided into three parts, proportional to 12:23:34, then the first part is?

A) Rs. 182 B) Rs. 190
C) Rs. 192 D) Rs. 204
 
Answer & Explanation Answer: D) Rs. 204

Explanation:

Rs.782*623

Given ratio =12:23:34= 6:8:9

1st part = Rs.782*623 = Rs. 204

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367 75879