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- 11. The ratio of three numbers is 6:7:5 and their sum is 108. The second number of the three numbers is?
A.12
B.42
C.30
D.36
Answer & Explanation
Answer: Option B 
6:7:5
Total parts = 18
18 parts --> 108
1 part ---->6
The second number of the three numbers is = 7
7 parts ----> 42
View Answer
- 12. Three numbers are in the ratio 3:5:8. The largest number value is 152. Find difference between Smallest & largest number is?
A.16
B.90
C.38
D.95
Answer & Explanation
Answer: Option D
== 3:5:8
Total parts = 16
= The largest number value is 152
= The largest number is = 8
= Then 8 parts -----> 152 ( 8 * 19 = 152 )
= smallest number = 3 & Largest number = 8
= Difference between smallest number & largest number is = 8 - 3 = 5
= Then 5 parts -----> 95 (5 * 19 = 95)
View Answer
- 13. If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
A.10
B.20
C.30
D.40
Answer & Explanation
Answer: Option B
2:3
2x + 10 : 3x + 10 = 3 : 4
4[2x + 10] = 3[3x + 10]
8x + 40 = 9x + 30
9x - 8x = 40 - 30
x = 10
Then smallest number is = 2
2x = 20
Short cut method:
a:b = 2:3
c:d = 3:4
1.Cross multiplication with both ratios
a * d ~ b * c = 2 * 4 ~ 3 * 3 = 8 ~ 9 = 1
2. If 10 is added both the number means 10 * 3 = 30 and 10 * 4 = 40,
Then 30 ~ 40 = 10
===> 1 -----> 10
===> 2 -----> 20
View Answer
- 14. If two numbers are in the ratio 4:7. If 10 is added to both of the numbers then the ratio becomes 6:10 then find the largest number?
A.80
B.40
C.140
D.100
Answer & Explanation
Answer: Option C
4:7
4x + 10 : 7x + 10 = 6 : 10
10[4x + 10] = 6[7x + 10]
40x + 100 = 42x + 60
100 – 60 = 42x – 40x
2x = 40
X = 20
Then the first number is = 4
7x = 140
Short cut method:
a:b = 4:7
c:d = 6:10
1.Cross multiplication with both ratios
a * d ~ b * c = 4 * 10 ~ 7 * 6 = 40 ~ 42 = 2
2. If 10 is added both the number means 10 * 6 = 60 and 10 * 10 = 100,
Then 60 ~ 100 = 40
===> 2 -----> 40
===> 1 -----> 20
==> 7 -----> 140
View Answer
- 15. If two numbers are in the ratio 6:7. If 10 is Reduced to both of the numbers then the ratio becomes 5:6 then find the smallest number?
A.50
B.30
C.60
D.70
Answer & Explanation
Answer: Option C
6:7
6x - 10 : 7x - 10 = 5 : 6
6[6x - 10] = 5[7x - 10]
36x - 60 = 35x - 50
36x - 35x = 60 - 50
x = 10
the small number is = 6
6x = 60 (Answer = 60)
Short cut method:
a:b = 6:7
c:d = 5:6
1.Cross multiplication with both ratios
a * d ~ b * c = 6 * 6 ~ 7 * 5 = 36 ~ 35 = 1
2. If 10 is reduced both the number means 10 * 5 = 50 and 10 * 6 = 60,
Then 50 ~ 60 = 10
===> 1 -----> 10
===> 6 -----> 60 (Answer is = 60)
View Answer
To whom this Ration and Proportion Questions and Answers section is beneficial?
Students can learn and improve on their skillset for using Verbal Ability effectively and can also prepare for competitive examinations like...
- All I.B.P.S and Public Sector Bank Competitive Exam
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