ABHYAS | Self Learning | Testing Platform

Q.1

The number of non square numbers that lie between the square of 151 and 152 are ___________

A.

304

B.

306

C.

302

D.

300

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Q.2

Observe the following pattern

$2^{2}-1^{2}=2+1$

$3^{2}-2^{2}=3+2$

$4^{2}-3^{2}=4+3$

$5^{2}-4^{2}=5+4$

and find the value of $(100)^{2}-(99)^{2}$

A.

99

B.

1

C.

199

D.

299

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Q.3

What must be added to 4931 to make it a perfect square?

A.

115

B.

110

C.

111

D.

15

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Q.4

What is the unit digit of the square of 93 and 72 ?

A.

9,4

B.

4,9

C.

1,9

D.

9,1

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Q.5

How many natural numbers lie between squares of 13 and 14.

A.

22

B.

26

C.

20

D.

36

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Q.6

Find the square of -15.

A.

150

B.

225

C.

- 225

D.

none of these

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Q.7

Find the square of $sqrt{18}$ .

A.

18

B.

4

C.

4

D.

doesn't exist

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Q.8

The square of -9 is _______________

A.

-81

B.

81

C.

18

D.

-18

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Q.9

Find the number of non square numbers that lie between the square of 17 and 18 .

A.

32

B.

34

C.

36

D.

38

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Q.10

Observe the pattern

$2^{2}-1^{2}=2+1$

$3^{2}-2^{2}=3+2$

$4^{2}-3^{2}=4+3$

$5^{2}-4^{2}=5+4$

and find $(111)^{2}-(109)^{2}$

A.

420

B.

430

C.

340

D.

440

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Q.11

What must be added to 15370 to make it a perfect square?

A.

9

B.

5

C.

16

D.

6

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Q.12

The unit digit of the square of 123 and 78 are __________

A.

6,1

B.

9,9

C.

1,6

D.

9,6

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Q.13

The number of natural numbers lying in between the squares of 238 and 239 , 800 and 801 respectively are _______________________ .

A.

436, 1600

B.

486, 1600

C.

456, 1600

D.

476, 1600

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Q.14

256 can be express as the sum of first ___________________ consecutive odd numbers.

A.

12

B.

14

C.

18

D.

16

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Q.15

What is the difference between the squares of largest three digit number and its consecutive ?

A.

1999

B.

2099

C.

9999

D.

1099

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Q.16

Observe the pattern

$2^{2}-1^{2}=2+1$

$3^{2}-2^{2}=3+2$

$4^{2}-3^{2}=4+3$

$5^{2}-4^{2}=5+4$

find $(99)^{2}-(96)^{2}$

A.

584

B.

585

C.

589

D.

564

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Q.17

What must be added to 33404 to make it a perfect square?

A.

190

B.

99

C.

85

D.

80

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Q.18

The unit digit of the square of 729 and 588 are _______________

A.

4,1

B.

9,6

C.

1,4

D.

1,9

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Q.19

Find the number of natural numbers lying in between the squares of 124 and 125.Also find the number of natural numbers lying in between the squares of 134 and 135.

A.

248, 258

B.

258, 268

C.

248, 268

D.

None of these

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Q.20

Find the sum of first 5 odd natural numbers using properties of square.

A.

16

B.

9

C.

26

D.

25

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Attention !!!!!