Simplification and Approximation Questions with Solution
By Smartkeeda
23 Sep 2019
Hi Aspirants,
On this page practice Simplification and Approximation Questions for NRA CET, Bank PO and Insurance Exams like IBPS PO, IBPS Clerk, LIC Assistant, SBI PO, SBI Clerk and EPFO etc.
As quantitative aptitude section seems difficult for banking and insurance aspirants still there are some topics where you can gain marks with some practice like Simplification, Approximation and Number Series and Quadratic Equation.
So, in this Exercise of Simplification and Approximation Questions you can practice new pattern based simplification and approximation questions and download PDF.
You will also find Simplification and Approximation Questions Quizzes link where you can practice various quality simplification & Approximation Questions with Solution and can check your level preparation by taking these quizzes.
If you want to be a master of Simplification and Approximation Questions or want to solve these questions fast kindly learn squares, cubes, roots, decimal values, fraction values and tables and always follow BODMAS rule. You will definitely solve Simplification and Approximation Questions within 30 to 45 seconds.
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On this page practice Simplification and Approximation Questions for NRA CET, Bank PO and Insurance Exams like IBPS PO, IBPS Clerk, LIC Assistant, SBI PO, SBI Clerk and EPFO etc.
As quantitative aptitude section seems difficult for banking and insurance aspirants still there are some topics where you can gain marks with some practice like Simplification, Approximation and Number Series and Quadratic Equation.
So, in this Exercise of Simplification and Approximation Questions you can practice new pattern based simplification and approximation questions and download PDF.
You will also find Simplification and Approximation Questions Quizzes link where you can practice various quality simplification & Approximation Questions with Solution and can check your level preparation by taking these quizzes.
If you want to be a master of Simplification and Approximation Questions or want to solve these questions fast kindly learn squares, cubes, roots, decimal values, fraction values and tables and always follow BODMAS rule. You will definitely solve Simplification and Approximation Questions within 30 to 45 seconds.
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 × 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 = ?
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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 = 91.8 + 51 = 142.80 ≈ 144
⇒ ? = √144 = 12
Hence, option D is correct.
5.
A. 6180
B. 6557
C. 5892
D. 6050
E. 6815
Solution :
? ≈ 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, ? ≈ 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 :
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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 = (?)2 – 8281
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. (7 – 10)2 + (5 + 14)2 = (?)3 – 28
A. √2
B. 4
C. √6
D. 3
E. None of these
Solution :
(7 – 10)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
Hence, option A is correct.
3.
Solution :
Hence, option D is correct.
4.
A. 0
B. 1
C. 2
D. 3
E. None of these
Solution :
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.
E.None of these
Solution :
Hence, option D is correct.
6.
A.
B. 6
C.
D.
E. None of these
Solution :
? = 6
Hence, option B is correct.
7.
A. 0.5
B. 1.5
C. 0.2
D. 2.4
E. None of these
Solution :
1238 × ? = 619
Hence, option A is correct.
8.
A.
B.
C.
D.
E. None of these
Solution :
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
? = (27)2
? = 729
Hence, option B is correct.
10.
A. 6
B. 4
C. 5
D. 8
E. None of these
Solution
∴ ? = 5
Hence, option C is correct.
Want to practice more Simplification Questions in the form of quizzes? Here are the links:
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We hope this article “Simplification and Approximation Questions” and quality questions provided by us certainly help you in your upcoming exam. These questions are important for IBPS PO Pre, SBI PO Pre, LIC Assistant, SBI Clerk, IBPS Clerk, LIC AAO, EPFO SSA, NIACL and Other Bank PO and Insurance Exams.
1. (7 – 10)2 + (5 + 14)2 = (?)3 – 28
A. √2
B. 4
C. √6
D. 3
E. None of these
Solution :
(7 – 10)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
| ? = | ( |
|
) | 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 | 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 |
We hope this article “Simplification and Approximation Questions” and quality questions provided by us certainly help you in your upcoming exam. These questions are important for IBPS PO Pre, SBI PO Pre, LIC Assistant, SBI Clerk, IBPS Clerk, LIC AAO, EPFO SSA, NIACL and Other Bank PO and Insurance Exams.
(Hope for the best and prepared for worst. One day you will definitely conquer your goal.)
Looking for quality mock test for Bank and Insurance exams you can go through the Testzone.
Regards,
Team Smartkeeda
(India’s Least Priced Test Series Platform)
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