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54 vote

What number should be added to each of the numbers 35, 115, 53 and 165, so that the resulting numbers are in continued proportion?

Asked on by | Votes 54 | Views: 611 | Tags: numbers     | ssc cgl tier 1 23 08 2017 shift 2     | ssc cgl tier 1     | ssc cgl     | quantitative aptitude     | ssc cgl tier 1 2017     | ssc cgl 2017     | Add Bounty

What number should be added to each of the numbers 35, 115, 53 and 165, so that the resulting numbers are in continued proportion?
1). 10
2). 12
3). 8
4). 6


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2 answers

13 vote
Answered by on | Votes 13 |
10 is the correct answer as per the ssc answer key

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14 vote
Answered by on | Votes 14 |

Let the no. be   x 

(35+x):(115+x)=(53+x):(165+x)

=(35+x)*(165+x)=(53+x)*(115+x)

=5775+200x+x^2=6095+168x+x^2

=200x-168x=6095-5775

=32x=320

 x= 10 

 

Accepted Answer