Select the number-pair in which the two numbers are related 36:84

The below SERIES question was asked in SSC CGL 2019 (Tier-1) exam held on 4th June, 2019, Shift-1, SET-1.

 

Q. Select the number-pair in which the two numbers are related in the same way as are the two numbers of the following number pair.

36 : 84

 

(a) 27 : 63

(b) 21 : 51

(c) 57 : 135

(d) 45 : 95

 

 

SOLUTION:

 

Correct Answer is: (a) 27 : 63

• Steps to be followed to solve the question are: 

1)   Take out ratio of 36 and 84.

12 x 3  :  12 x 7

 

2)   Ratio will come as = 3 : 7

 

Same pattern must be followed in options as well.

 

 

Let’s check out each option and see which one is correct.

 

Option (a) 27 : 63

 

1)   Take out ratio of 27 and 63.

 

9 x 3  :  9 X 7

 

2)   Ratio will come as = 3 : 7

 

As expected and actual results (ratio 3 : 7) are same, Option (a) 27 : 63 is correct

 

 

Option (b) 21 : 51

 

1)   Take out ratio of 21 and 51.

 

7 x 3  :  3 X 17

 

2)   Ratio will come as = 7 : 17

 

As expected result (ratio 3 : 7) and actual result (ratio 7 : 17) are NOT same, Option (b) 21 : 51 is incorrect.

 

Option (c) 57 : 135

 

1)   Take out ratio of 57 and 135.

 

19 x 3  :  3 X 45

 

2)   Ratio will come as = 19 : 45

 

As expected result (ratio 3 : 7) and actual result (ratio 19 : 45) are NOT same, Option (c) 57 : 135 is incorrect.

 

Option (d) 45 : 95

 

1)   Take out ratio of 45 and 95.

 

9 x 5  :  19 X 5

 

2)   Ratio will come as = 9 : 19

 

As expected result (ratio 3 : 7) and actual result (ratio 9 : 19) are NOT same, Option (d) 45 : 95 is incorrect.