Ratio & Proportion Questions for RRB NTPC Set-3 PDF
Download RRB NTPC Ratio & Proportion Questions Set-3 PDF. Top 10 RRB NTPC Maths questions based on asked questions in previous exam papers very important for the Railway NTPC exam.
Download Ratio & Proportion Questions for RRB NTPC Set-3 PDF
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Question 1: Two numbers are respectively 30% and 75% more than the third number. Find the ratio of the first and the second number.
a) 26 : 35
b) 17 : 23
c) 19 : 23
d) 29 : 35
Question 2: Ravi is older than Simar by 4 years. Four years from now, the respective ratio between Ravi’s age and Simar’s age will be 9:8. What will be the Ravi’s age 15 years ago? (in years)
a) 19
b) 36
c) 17
d) 25
e) 21
Question 3: 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
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Question 4: Three numbers are 60%, 140% and 380% more than a fourth number. Find the ratio of the three numbers.
a) 3 : 7 : 19
b) 1 : 2 : 3
c) 2 : 3 : 6
d) 2 : 3 : 4
Question 5: The ratio of the ages of the father and the child is 6:1 and the sum of their ages is 28. Find the ratio of the age of father to the age of child after 6 years?
a) 7:3
b) 2:1
c) 4:3
d) 3:1
Question 6: Find the third proportional to 10 and 25.
a) 2.5
b) 62.5
c) 40
d) 100
Question 7: What number should be added to each of the numbers 103, 135, 110 and 144 so that the resulting numbers are in proportion?
a) 12
b) 15
c) 9
d) 6
Question 8: What is the sum of the mean proportional between 10.8 and 4.8 and the third proportional of 2 and 4?
a) 10.2
b) 11.2
c) 8.2
d) 15.2
Question 9: What is the ratio of mean proportional between 1.8 and 3.2 and the third proportional of 5 and 3?
a) 3 : 5
b) 4 : 3
c) 3 : 4
d) 5 : 3
Question 10: Find two numbers such that their mean proportional is 18 and the third proportional to them is 144.
a) 6 and 42
b) 9 and 36
c) 3 and 18
d) 6 and 12
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Answers & Solutions:
1) Answer (A)
Let the two numbers be a and b respectively and the third number be c.
a = 1.3c
b = 1.75c
$\frac{a}{b}$ = $\frac{1.3}{1.75}$
=> a : b = 26 : 35
2) Answer (C)
R=S + 4….(1)
also (R+4)/(S+4)=9/8….(2)
On solving (1) and (2) we get R=32 and S=28.
∴ Ravi’s age 15 years ago will be 17
3) 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.
4) Answer (C)
Let the fourth number be x and first three numbers be a, b and c respectively.
a = 1.6x, b = 2.4x and c = 4.8x
a : b : c = 1.6x : 2.4x : 4.8x = 2 : 3 : 6
5) Answer (D)
Let the ages of the father and child be 6x and x respectively.
6x+x = 28
7x = 28, x = 4
Ages of the father and child are 24 years and 4 years respectively.
Ages of the father and child 6 years later are 30 years and 10 years.
Ratio = 30:10 = 3:1
6) Answer (B)
7) Answer (C)
8) Answer (D)
9) Answer (B)
10) Answer (B)
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