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IBPS

Explore popular questions from Square, Cube, Indices & Surds for IBPS. This collection covers Square, Cube, Indices & Surds previous year IBPS questions hand picked by experienced teachers.

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Square, Cube, Indices & Surds

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Q 1. {tex} ( \sqrt { 1681 } + \sqrt { 3481 } ) \div \sqrt { 100 } = ? {/tex}

A

15

10

C

25

D

20

E

110

Explanation

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Q 2. {tex} ( 59 ) ^ { 2 } + ( 11 ) ^ { 3 } + \sqrt { 7744 } = ? {/tex}

A

4500

B

4850

4900

D

4860

E

5110

Explanation

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Q 3. {tex} \sqrt { 13225 } \times \sqrt { 7225 } \div \sqrt { 625 } = ? {/tex}

391

B

410

C

397

D

381

E

411

Explanation

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Q 4. {tex} \sqrt { \frac { 625 } { 225 } \times \frac { 3375 } { 15625 } \times 15 } = ? {/tex}

A

7

B

13

3

D

12

E

9

Explanation

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Q 5. {tex} \sqrt { 665 + \sqrt { 112 } + \sqrt { 75 + \sqrt { 36 } } } = ? {/tex}

A

12

B

23

26

D

24

E

None of these

Explanation

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Q 6. {tex} ( \sqrt { 15625 } \times \sqrt { 18225 } \times \sqrt { 21025 } ) \div \sqrt { 5625 } = ? {/tex}

A

32125

B

34235

32625

D

34245

Explanation

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Q 7. {tex} \left[ ( 58 ) ^ { 2 } + 12 ^ { 3 } + \sqrt { 1874891 } \right] \div \sqrt { 7225 } = ? {/tex}

A

75

B

74

C

56

65

E

None of these

Explanation

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Q 8. {tex} [ \sqrt [ 3 ] { 4913 } \times \sqrt { 12167 } + 409 ] \div \sqrt [ 3 ] { 4096 } = ? {/tex}

A

75

B

70

50

D

60

E

None of these

Explanation

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Q 9. {tex} \sqrt { 11449 } \times \sqrt { 6241 } - ( 54 ) ^ { 2 } = \sqrt { ? } + ( 74 ) ^ { 2 } {/tex}

A

384

3721

C

381

D

3638

E

None of these

Explanation

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Q 10. {tex} \sqrt [ 3 ] { 4096 } \div \sqrt [ 3 ] { 64 } = \sqrt [ 3 ] { ? } {/tex}

A

16

B

8

64

D

80

E

None of these

Explanation

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Q 11. {tex} \sqrt [ 3 ] { 3.375 } = 1.5 {/tex} and {tex} \sqrt [ 3 ] { 15.625 } = 2.5 {/tex} then, find the value of {tex} \sqrt [ 3 ] { 0.00375 } \times \sqrt [ 3 ] { 0.015625 } {/tex}

A

2375

B

13.75

C

0.00375

0.0375

E

3.75

Explanation

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Q 12. A man plants 104976 apple trees in his garden and arranges them so that there are as many rows as there are apples trees in each row. The number of rows is

324

B

328

C

364

D

380

E

None of these

Explanation

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Q 13. If {tex} \sqrt { 6 } = 2.449 , {/tex} then the value of {tex} \frac { \sqrt { 6 } } { 2 } - \frac { 12 } { \sqrt { 6 } } + \sqrt { 216 } {/tex} is equal to

11.021

B

12.067

C

13.079

D

12.187

E

15.174

Explanation

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Q 14. If the sum of a number and its square is {tex} 182 , {/tex} what is the number?

A

17

B

23

C

16

13

E

None of these

Explanation

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Q 15. If {tex} \sqrt { 21025 } = 145 , {/tex} then value of {tex} ( \sqrt { 210.25 } + \sqrt { 2.1025 } + {/tex} {tex} \sqrt { 0.021025 } + \sqrt { 0.000021025 } ) {/tex}

A

18.0215

B

17.0675

C

13.0795

D

12.1875

16.1095

Explanation

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Q 16. What should come in place of both the question marks in the equation {tex} \frac { ? } { \sqrt { 128 } } = \frac { \sqrt { 162 } } { ? } {/tex}

12

B

23

C

16

D

13

E

None of these

Explanation

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Q 17. {tex} \sqrt { ( x - 2 ) ( y + 3 ) } = 9 , x {/tex} and {tex} y {/tex} being positive wholenumbers then the values of {tex} x {/tex} and {tex} y {/tex} respectively are

{tex} 11,6 {/tex}

B

{tex}12,7{/tex}

C

{tex} 11,8 {/tex}

D

{tex} 9,11 {/tex}

E

None of these

Explanation

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Q 18. There are 2401 students in school. P.T. teacher wants them to stand in row and columns such that the number of rows is equal to the number of columns. Find the number of row?

A

47

B

39

C

51

49

E

None of these

Explanation

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Q 19. What should come in place of the question mark (?) in the following questions?
{tex} 255 \div 17 \div 5 = ( ? ) ^ { 2 } {/tex}

A

{tex}9{/tex}

{tex} \sqrt { 3 } {/tex}

C

{tex}3{/tex}

D

{tex}27{/tex}

E

{tex}81{/tex}

Explanation

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Q 20. A gardener plants 34969 mango trees in his garden and arranges them so that there are so many rows as there are mango trees in each row. The number of rows is

187

B

176

C

169

D

158

E

None of these

Explanation

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Q 21. What will come in place of question mark (?) in the following questions?
{tex} ( 27 ) ^ { 18 } \div ( 27 ) ^ { 3 } = ? {/tex}

A

{tex} ( 27 ) ^ { 54 } {/tex}

B

{tex} ( 27 ) ^ { 21 } {/tex}

{tex} ( 27 ) ^ { 15 } {/tex}

D

{tex} ( 27 ) ^ { 6 } {/tex}

E

None of these

Explanation