Home
Class 14
MATHS
What is the least possible number which ...

What is the least possible number which must be substracted form 16, 19 and 23 so that the resulting numbers are in continued proportion?

A

2

B

4

C

6

D

7

Text Solution

Verified by Experts

Going through potions, we find option (d) is correct.
Alternatively (16 - x) : (19 - x) :: (19 - x) : (23 - x)
`implies (19 - x)^2 = (16 - x)(23 - x)`
By solving the above equation, we get x = 7b
Promotional Banner

Topper's Solved these Questions

  • PROFIT , LOSS AND DISCOUNT

    QUANTUM CAT|Exercise QUESTION BANK|205 Videos

  • SEQUENCE, SERIES & PROGRESSIONS

    QUANTUM CAT|Exercise QUESTION BANK|243 Videos

Similar Questions

Explore conceptually related problems

The least possible number which must be subtracted from 575 to make a perfect square number is :

The least possible number which must be subtracted from 574 to make a perfect square number is :

What number should be added toeach of the numbers 94 ,24, 100 and 26 so that the resulting numbers are in continued proprotion

What must be added to each of the numbers 3, 7, 8 and 16 so that resulting numbers are in proportion ?

What number should be added to each of the number 6, 14 , 18 , 38 so that the resulting numbers are in proportion ?

What number must be substracted from each of the numbers 53,21,41,,17 so that the remainders are in proportion?

What number must be added to each of the numbers 7,11 and 19 so that the resulting numbers may be in continued proportion? 3 b.-3 c.4 d.-4