Find the least number which must be subtracted from 18625 to make it a perfect square

Solution : Applying the long division method,
We find that the remainder is `40` instead of `0` It means that if `40` is subtracted from `18265`, then the remainder will be `0` and the new number will be a perfect square.
Hence, the least number which must be subtracted from `18265` to make it a perfect square is `40`.
`sqrt(40)=2sqrt(10)`

Multiple Choice Questions

21.

The least number which when divides 37044, gives the result a perfect cube is

  • 2

  • 4

  • 14

  • 21


B.

4

Find the least number which must be subtracted from 18625 to make it a perfect square

∴ Required number = 2 x 2 = 4

80 Views


22.

The cube of 105 is

  • 1157625

  • 1175625

  • 1185625

  • 1158625


A.

1157625

(105)3 = (100 + 5)3
          = 1000000 + 125 + 3 x 100 x 5 x (100 + 5)
          = 1000125 + 1500(100 + 5)
          = 1000125 + 150000 + 7500
          = 1157625

75 Views


23.Find the least number which must be subtracted from 18265 to make it a perfect square.3038 (adsbygoogle = window.adsbygoogle || []).push({}); 4045


C.

40

Find the least number which must be subtracted from 18625 to make it a perfect square

∴ Required number to be subtracted to make it a perfect square = 40

342 Views


24.

The cube of 997 is

  • 991026973

  • 991029673

  • 991029773

  • 991097273


A.

991026973

997 = (1000 - 3)3  
Apply (a - b)3 we get, 991026973

120 Views



B.

5

Find the least number which must be subtracted from 18625 to make it a perfect square

99 Views


26.

The value of 

Find the least number which must be subtracted from 18625 to make it a perfect square
 is:

  • 0

  • 1

  • -3

  • 4


C.

-3

Find the least number which must be subtracted from 18625 to make it a perfect square

57 Views


27.

Find the cube root of (-13824). or Find the value of 

Find the least number which must be subtracted from 18625 to make it a perfect square

  • 38

  • -38

  • 24

  • 24


D.

24

Shortcut Method:
check the last digit and go with option
Multiplication of ... -4 x -4 x -4 = -64
Therefore the unit digit is 4.

206 Views


28.

If the numbers 

Find the least number which must be subtracted from 18625 to make it a perfect square
 are arranged in ascending order, then the right arrangement is:

  • Find the least number which must be subtracted from 18625 to make it a perfect square

  • Find the least number which must be subtracted from 18625 to make it a perfect square

  • Find the least number which must be subtracted from 18625 to make it a perfect square

  • Find the least number which must be subtracted from 18625 to make it a perfect square


D.

Find the least number which must be subtracted from 18625 to make it a perfect square

Find the least number which must be subtracted from 18625 to make it a perfect square

L.C.M. of 3, 4 and 6 = 12
Now,
Find the least number which must be subtracted from 18625 to make it a perfect square

Thus, we can say:
Find the least number which must be subtracted from 18625 to make it a perfect square

54 Views


29.

Find the least number which must be subtracted from 18625 to make it a perfect square
 then x equals to

  • 1

  • 13

  • 27

  • 25


D.

25

Find the least number which must be subtracted from 18625 to make it a perfect square

S.B.S.
Find the least number which must be subtracted from 18625 to make it a perfect square

56 Views


30.

Find the least number which must be subtracted from 18625 to make it a perfect square
 is equal to

  • 34

  • 36

  • 38

  • 39


B.

36

Find the least number which must be subtracted from 18625 to make it a perfect square

63 Views


What is the least number to be subtracted from 18265 to make it a perfect square?

Hence, the required least number is 40. Q.

Is 18265 a perfect square?

Now we subtract both these numbers i.e. $ 18496 - 18265 = 231 $ . It means that if we add $ 231 $ to $ 18265 $ , then it will be a perfect square.

What is the least number to be subtracted to make it a perfect square?

If we subtract the remainder from the number, we get a perfect square. So the required least number is 1.

What should be added to 525 to make it a perfect square?

iii) 252..
The closest perfect square number is 256..
Hence, 4 must be added to 252 in order to make it a perfect square..