10
Q:

If 3/5 of x is equal to 4/9 of y, then what is the ratio of x and y?

 

A) 11 : 15 B) 15 : 23
C) 20 : 27 D) 14 : 25

Answer:   D) 14 : 25



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

The ratio between the number of sheep and the number of horses at the Stewar farm is 4 to 15. If each of horse is fed 110 ounces of horse food per day and the farm needs a total 13200 ounces of horse food per day. what is number sheep in the form ?

A) 32 B) 36
C) 44 D) 52
 
Answer & Explanation Answer: A) 32

Explanation:

Given ratio of number of sheep and horses = 4 : 15
Let number of sheep and horses are 4k and 15k
Number of horses = 13200/110 = 120
Now 15K = 120 and k = 8
Number of sheep = 4k = (4 x 8) = 32

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8 5718
Q:

Salaries of Karthik, Arun and Akhil were in the ratio 4 : 5 : 6 respectively. If their salaries were increased by 50 per cent, 60 per cent and 50 per cent respectively, what will be the new ratio of the salaries of Akhil, Arun and Karthik ?

A) 6 : 8 : 9 B) 8 : 6 : 9
C) 9 : 8 : 6 D) 6 : 5 : 4
 
Answer & Explanation Answer: C) 9 : 8 : 6

Explanation:

Given the salaries are in the ratio of 4 : 5 : 6

 

Now the salaries are increased by 50%, 60% and 50% respectively

 

The New ratio of salaries will be

 

4 x (150/100) : 5 x (160/100) : 6 x (150/100)

 

= 6 : 8 : 9

 

The new ratio of salaries of Akhil, Arun and Karthik is 9 : 8 : 6

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12 5607
Q:

If (2a + 3b)/(5a - 3b) = 23/5 , then the value of ba is ?

A) 5 B) 4
C) 20 D) 28
 
Answer & Explanation Answer: C) 20

Explanation:

Given (2a + 3b)/(5a - 3b) = 23/5
=> 10a + 15b = 115a - 69b
=> 105a = 84b => 5a = 4b
a/b = 4/5 => a=4 & b=5
=> bxa = 5x4 = 20.

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7 9386
Q:

On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ?

A) Rs. 5422 B) Rs. 10,500
C) Rs. 12,800 D) Rs. 15,000
 
Answer & Explanation Answer: B) Rs. 10,500

Explanation:

The ratio of distribution should be:
21 x 15 : 15 x 35 : 35 x 21
= 315 : 525 : 735
= 3 : 5 : 7
The smallest share will be of worth:
3/15 x 52,500 = Rs. 10,500

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6 5721
Q:

There are 209 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 11 : 8, then how many nurses are there in the hospital?

A) 88 B) 96
C) 108 D) 121
 
Answer & Explanation Answer: A) 88

Explanation:

Given,
The ratio of the doctors to the nurses is 11 : 8
Number of nurses = 8/19 x 209 = 88.

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4 6100
Q:

If y/(x - z) = (y + x)/z = x/y then find z : y : x ?

A) 1:2:3 B) 3:2:4
C) 4:3:2 D) 2:3:4
 
Answer & Explanation Answer: B) 3:2:4

Explanation:

Given, y/(x - z) = (y + x)/z = x/y
yz = xy + x2 - yz - xz ....(1)
Also xy = yx-z x2 -xz = y2 ....(2)
Using (1) and (2), we get yz = xy - yz + y2
2yz = xy + y2
2z = x + y
Only option (B) satisfies the equation.

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18 9570
Q:

Out of 135 applicants for a post, 60 are graduates and 80 have experience. What is the ratio of minimum to maximum number
of graduates having experience?

A) 12:1 B) 5:1
C) 1:5 D) 1:12
 
Answer & Explanation Answer: D) 1:12

Explanation:

Given total applicants = 135
Given graduates are G=60
Otherthan graduates=135-60 = 75
Given experienced candidates = 80
1) For maximum number of graduates have experience
    Total graduates to have experience = 60

2) For minimum number of graduates have experience
    Remaining after taking other than graduates in experience= 80-75 = 5

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13 7328
Q:

If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?

A) 710 acres B) 760 acres
C) 810 acres D) 860 acres
 
Answer & Explanation Answer: C) 810 acres

Explanation:

12 men120 acres36 days54 men?54 days

 As 12 men can reap 120 acres, 54 men will be able to reap more acres in 36 days, 120 acres of land was reaped, so in 54 days, more land will be reaped.

 

Thus, the numbers of acres that can be reaped by 54 men in 54 days = 5412x120x5436 = 810 acres

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19 8336