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
∴ Required number = 2 x 2 = 4
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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
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23.
Find the least number which must be subtracted from 18265 to make it a perfect square.
30
38
40
45
C.
40
∴ Required number to be subtracted to make it a perfect square = 40
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24.
The cube of 997 is
991026973
991029673
991029773
991097273
A.
991026973
997 = [1000 - 3]3
Apply [a -
b]3 we get, 991026973
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B.
5
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26.
The value of
0
1
-3
4
C.
-3
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27.
Find the cube root of [-13824]. or Find the value of
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.
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28.
If the numbers
D.
L.C.M. of 3, 4 and 6 = 12
Now,
Thus, we can say:
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29.
1
13
27
25
D.
25
S.B.S.
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30.
34
36
38
39
B.
36
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