# Simplification and Approximation Questions with Solution

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On this page practice Simplification and Approximation Questions for Bank PO and Insurance Exams like IBPS PO, IBPS Clerk, LIC Assistant, SBI PO, SBI Clerk and EPFO etc.

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Directions: What approximate value will come in place of question mark (?).

1. 2744.03 840 + 11.07 = ? ÷ 8.02

A. 4
B. – 8
C. – 5
D. 15
E. 20

Solution :

2744.03 – 840 + 11.07 = ? ÷ 8.02

Approximate value:

2744 – 841 + 11.07 = ? ÷ 8

14 – 29 +11 = ? ÷ 2

25
– 29 = ÷ 2

–4 × 2 = ?

? = – 8

Hence, option B is correct.

2.  1164 × 128 ÷ 8.008 + 969.007 = ?

A. 18800
B. 19000
C. 19600
D. 19200
E. 18600

Solution : By taking the approximate value for the expression, we have

1164 × 128 ÷ 8.008 + 969.007 = ?

 1164 × 128 × 1 + 969.007 = ? 8.008

 ? ≈ 1164 × 128 × 1 + 969 8

? = 1164 × 16 + 969

? = 18624 + 969 = 19593 ≈ 19600

Hence, option C is correct.

3.  2222.1 × 11 + 3333.1 × 11.01 + 4444 × 11 + 5555 × 11 – 6666.1 × 11 = ?

A. 10864
B. 86884
C. 97768
D. 77768
E. 88768

Solution : 2222.1 × 11 + 3333.1 × 11.01 + 4444 × 11 + 5555 × 11 – 6666.1 × 11 = ?

? ≈ 2222 × 11 + 3333 × 11 + 4444 × 11 + 5555 × 11 – 6666 × 11

= 11[2222 + 3333 + 4444 + 5555 – 6666]

= 11[2222 + 3333 + 4444 + 5555 – 6666]

= 11 × 8888 = 97768

Hence, option C is correct.

4. (37.12)2 + (43.88)2 = (?2 – √2600) × √1297

A. 6
B. 8
C. 10
D. 12
E. 14

Solution : (37.12)2 + (43.88)2 = (?2 – √2600) × √1297

⇒ (37)2 + (44)2  ≈ (?2 – √2601) × √1296

 ?2 – 51 = 372 + 442 = 1369 + 1936 = 3305 = 91.8 36 36 36

⇒ ?2 = 91.8 + 51 = 142.80 ≈ 144

⇒ ? = √144 = 12

Hence, option D is correct.

5.
 ? = 1528 √16.09 + 25% of 512.04 – 75.12 of 4 5

A. 6180
B. 6557
C. 5892
D. 6050
E. 6815

Solution :

 1528√16.09 + 25% of 512.04 – 75.12 of 4 5

? ≈ 1528√16 + 25% of 512 – 75 × 0.8

? = 6112 + 128 – 60 = 6180

Hence, option A is correct.

6.   (√624.75 – √168.80) × (√255.61 + √729.057) = ?

A. 496
B. 454
C. 502
D. 528
E. 516

Solution : (√624.75 – √168.80) × (√255.61 + √729.057)   = ?

(√625 – √169) × (√256 + √729)   = ?

(25 – 13) × (16 + 27)  = ?

12 × 43 = ?

? = 516

Hence, option E is correct.

7. (26.912)2 × 6.001 ÷ 6.12 + (7.03)3 + 40.02 = ? – 210.75

A. 1685
B. 1158
C. 1323
D. 1925
E. 1485

Solution :

(26.912)2 × 6.001 ÷ 6.12 + (7.03)3 + 40.02 = ? – 210.75

 Or, (27)2 × 6 × 1 + (7)3 + 40 ≈ ? – 211 6

or, ? ≈ 729 + 343 + 40 + 211 = 1323

Hence, option C is correct.

8. (354.08 + ?)/ 31.98 + 124.89 % of 64.03 – (361.06)1/2 = (1000000.11)1/3

A. 980
B. 688
C. 872
D. 426
E. 894

Solution :

 (354.08 + ?) + 124.89 % of 64.03 – (361.06)1/2 = (1000000.11)1/3 31.98

 354 + ? + 125 × 64 – (361)1/2 ≈ (1000000)1/3 32 100

 354 + ? = 100 + 19 – 80 32

(354 + ?) = 39 × 32

? = 1248 – 354 = 894

Hence, option E is correct.

9. (25.03)2 + ( 16.93)2 – (13.06)2 = ? + 72 ÷ 9

A. 730
B. 737
C. 749
D. 762
E. 771

Solution :

(25.03)2 + ( 16.93)2 – (13.06)2 = ? + 72 ÷ 9

≈ 625 + 289 – 169 – 8 = ?

? = 914 – 177

? = 737

Hence, option B is correct.

10.  256.013 + 360.99 ÷ 16.001 × 415.968 = ?2 – 8280.88

A. 20
B. 22
C. 25
D. 29
E. 38

Solution :256.013 + 360.99 ÷ 16.001 × 415.968 = ?2 – 8280.88

256 + 361 ÷ 16 × 416 = (?)28281

256 + 19 × 26 = (?)2 – 91

256 + 494 + 91 = (?)2

(?)2 = 841

? = 841 = 29

Hence, option D is correct.

Want to practice more Approximation Questions in the form of quizzes? Here are the links:

 Quiz 1 Quiz 2 Quiz 3 Quiz 4 Quiz 5 Quiz 6 Quiz 7 Quiz 8 Quiz 9 Quiz 10 Quiz 11 Quiz 12

Directions: What value will come in place of question mark (?).

1.
(710)2 + (5 + 14)2 = (?)3 – 28

A. √2
B.  4
C. √6
D.  3
E.  None of these

Solution :

(710)2 + (5 + 14)2 = (?)3 – 28

(?)3 = 7 + 10 – 270 + 5 + 14 + 270 + 28

(?)3 = 36 + 28 = 64

∴   ? = 64 = 4

Hence, option B is correct.

2.  5.832 + 35% of 6500 – ?% of 1250 = 222.8

A. 164.32
B. 18.23
C. 174.32
D. 194.23
E. None of these

Solution :

5.832 + 35% of 6500 – ?% of 1250 = 222.8

or, 1.8 + 2275 – ? × 12.5 = 222.8

or, ? × 12.5 = 2276.8 – 222.8

 or, ? = 2054 = 164.32 12.5

Hence, option A is correct.

3.

 39 13 – 47 18 + 23 11 – 2 1 = ? 17 34 17 34

 A. 13 5 34

 B. 11 29 34

 C. 29 13 34

 D. 13 29 34

 E. 13 27 34

Solution :

 39 13 – 47 18 + 23 11 – 2 1 = ? 17 34 17 34

 ? = (39 – 47 + 23 – 2) ( 13 – 18 + 11 – 1 ) 17 34 17 34

 ? = (62 – 49) + ( 26 – 18 + 22 – 1 ) 34

 ? = 13 29 34

Hence, option D is correct.

4.
 (3.7)–3 × (13.69)–2 × 1 ÷ (13.69)–5 = (3.7)? 50.653

A. 0
B. 1
C. 2
D. 3
E. None of these

Solution :

 (3.7)–3 × (13.69)–2 × 1 ÷ (13.69)–5 = (3.7)? 50.653

or, (3.7)? = (3.7)–3 × (3.7)–2×2 × (3.7)–3 × (3.7)10

= (3.7)–3–4–3+10 = (3.7)0

∴ ? = 0

Hence, option A is correct.

5.
 4 2 + 2 6 – 6 2 = ? 10 3 8

 A . 2 111 110

 B. 2 120 110

 C. 1 120 114

 D. 1 114 120

E.None of these

Solution :

 4 2 + 2 6 – 6 2 = ? 10 3 8

 ? = (4 + 2 – 6) + 2 + 6 – 2 10 3 8

 ? = 0 + (24 + 240 – 30) 120

 ? = 0 + 234 120

 ? = 1 114 120

Hence, option D is correct.

6.

 19 ÷ [ 1 – 1 + 2 2 ] = ? 2 3

A.
 1 6

B.  6

C.
 1 2

D.
 1 19

E. None of these

Solution :

 19 ÷ [ 1 – 1 + 2 2 ] = ? 2 3

 ? = 19 ÷ [ 1 – 1 + 2 2 ] 2 3

 ? = 19 ÷ [ 3 – 1 + 2 ] 2 3

 ? = 19 ÷ [ 3 – 3 + 4 ] 6 6

 ? = 19 ÷ [ 3 + 1 ] 6

 ? = 19 ÷ [ 19 ] 6

 ? = 19 × [ 6 ] 19

? = 6

Hence, option B is correct.

7.
 7428 × 3 × 2 × ? = 619 4 9

A. 0.5
B. 1.5
C. 0.2
D. 2.4
E. None of these

Solution :

 7428 × 3 × 2 × ? = 619 4 9

 7428 × 1 × 1 × ? = 619 2 3

 3714 × 1 × ? = 619 3

1238 × ? = 619

 ? = 619 = 0.5 1238

Hence, option A is correct.

8.
 [ 3 + 1 { 3 – 1 ( 7 – 3 ) } ] = ? 2 2 4 2 8 4

A.
 59 15

B.
 59 32

C.
 59 37

D.
 58 11

E. None of these

Solution :

 [ 3 + 1 { 3 – 1 ( 7 – 3 ) } ] = ? 2 2 4 2 8 4

 ? = [ 3 + 1 { 3 – 1 ( 7 – 6 ) } ] 2 2 4 2 8 8

 ? = [ 3 + 1 { 3 – 1 ( 1 ) } ] 2 2 4 2 8

 ? = [ 3 + 1 { 3 – 1 } ] 2 2 4 16

 ? = [ 3 + 1 { 12 – 1 } ] 2 2 16 16

 ? = [ 3 + 1 { 11 } ] 2 2 16

 ? = [ 3 + 11 ] 2 32

 ? = [ 48 + 11 ] 32 32

 ? = [ 59 ] 32

Hence, option B is correct.

9. 6318 ÷ 17576 = ? × 9

A. 643
B. 729
C. 743
D. 629
E. None of these

Solution :  6318 ÷ 17576 = ? × 9

? =  (
 6318 ÷ 17576
) 2
9

 ? = ( 6318 ÷ 26 ) 2 9

 ? = ( 243 ) 2 9

? = (27)2

? = 729

Hence, option B is correct.

10.
 2? = (82 × 52) ÷ ( 2002 )

A. 6
B. 4
C. 5
D. 8
E. None of these

Solution

 2? = (82 × 52) ÷ ( 2002 )

64 × 25  =  8  =  8  ×
 2
=
 42
 ( 2002 )
2 2 2

 2? = 25

∴  ? = 5

Hence, option C is correct.

Want to practice more Simplification Questions in the form of quizzes? Here are the links:

 Quiz 1 Quiz 2 Quiz 3 Quiz 4 Quiz 5 Quiz 6 Quiz 7 Quiz 8 Quiz 9 Quiz 10 Quiz 11 Quiz 12

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