RRB NTPC Ratio and Proportion Previous Questions
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Question 1: The ratio of the present age of a man and his wife is 4:3 and 4 years hence the ratio of their ages will be 9:7 If the ratio of their ages at the time of their marriage was 13:9, how many years ago were they married ?
a) 4
b) 8
c) 6
d) 9
Question 2: The volumes of three kinds of materials are in the ratio 3:4:7 and the weights of equal volumes of the three materials are in the ratio 5:2:6 If they are mixed to form a material of 65 kg then the weight of the 2nd material in the mixture is
a) 8 kg
b) 23 kg
c) 15 kg
d) 42 kg
Question 3: 6 : 1 is the ratio of the age of Amar and that of Ajay. After 7 years, this ratio becomes 7 : 2. What is the present age of Ajay ?
a) 9 years
b) 7 years
c) 5 years
d) 11 years
Question 4: If the ratio of boys to girls in a class is 5:3, then which of the following CANNOT be the number of children in that class ?
a) 40
b) 96
c) 150
d) 24
Question 5: A and B got Rs. 4,000 each as their share and C. Rs. 2,000. The ratio in which C, B and A distributed the amount is ?
a) 2 : 2 : 1
b) 2 : 1 : 2
c) 1 : 2 : 2
d) 1 : 4 : 4
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Question 6: Find the fourth proportional to 3.6, 6.9 and 11.4.
a) 20.3
b) 18.9
c) 19.6
d) 21.9
Question 7: If 22, x, 88 are in a continued proportion, find the value of x.
a) 22
b) 33
c) 44
d) 36
Question 8: Its. 3,105 is due to be divided among K, L and M in the proportion of 2/3 : 3/4 : 1/2 respectively. How much will L get?
a) Rs. 1,080
b) Rs. 810
c) Rs. 1,215
d) Rs. 970
Question 9: What is the $4^{th}$ proportional of 3, 8, 12, ?
a) 36
b) 26
c) 32
d) 16
Question 10: The mean proportional between 0.16 and 0.64 is:
a) 0.32
b) 0.40
c) 0.27
d) 0.48
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Answers & Solutions:
1) Answer (C)
Let the ages today be 4x and 3x. Ages four years from now are 4x + 4 and 3x + 4
But 4x+4:3x+4 = 9:7
So, x = 8
So, their current ages = 32 and 24
Let them be married for x years
Age at marriage = 32 – x and 24 – x
But 32 – x : 24 – x = 13: 9
So x = 6 years.
2) Answer (A)
Let the volumes of the 3 be: 3v, 4v and 7v
Densities of the three are 5d, 2d and 6d
So, the weights are 15dv + 8 dv + 42 dv = 65 dv
But that is 65 kilograms.
The second one’s weight is 8 dv = 8 kgs
3) Answer (B)
Lets Amar and Ajay’s ages be 6x and x. After 7 years, their ages are 6x + 7 and x + 7.
But that 6x+7: x+7 = 7 : 2
So, x = 7
4) Answer (C)
To make a meaningful number of boys and girls (whole numbers), the total number of children should be divisible by 8.
5) Answer (C)
C : B : A = 2000 : 4000 : 4000 = 1 : 2 : 2
6) Answer (D)
product of means = product of extremes
$6.9\times 11.4= 3.6\times ?$
? = 21.85 = 21.9
7) Answer (C)
8) Answer (C)
Given, Ratio = $\dfrac{2}{3} : \dfrac{3}{4} : \dfrac{1}{2}$
LCM = 12
$=\dfrac{2}{3}\times12 : \dfrac{3}{4}\times12 : \dfrac{1}{2}\times12$
$=8:9:6$
Ratio of K, L and M = 8 : 9 : 6
Share of L = $\dfrac{9}{23}\times\ 3105=1215$.
9) Answer (C)
Let the fourth proportion will be x
Then, 3 : 8 :: 12 : x
$3\times\ x=12\times\ 8$
x = 32
So, fourth proportion will be 32.
10) Answer (A)
Mean proportional of two numbers is obtained by multiplying the two numbers and finding the square root of the number.
For the given numbers, mean proportional is given by,
= $\sqrt{0.16 \times 0.64}$
= $\sqrt{0.1024}$ = 0.32
Hence, option A is the correct answer.
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