approximation and simplification

1. NOTES BY UTKARSH Sir

2. What approximate value will come in
the place of the question mark ‘?’ in
the following question?
31.992 × 28.196/6.932 + 677.993 –
320.898 = ? × 4.889
निम्िलिखित प्रश्ि में प्रश्ि चिह्ि ‘?’
के स्थाि पर अिुमानित माि क्या
आएगा?
31.992 × 28.196/6.932 + 677.993 –
320.898 = ? × 4.889
1) 88
2) 82
3) 89
4) 97
5) 78
NOTES BY UTKARSH Sir

3. What approximate value will come in
the place of the question mark ‘?’ in
the following question?
858.231 ÷ 39.345 × 74.154 –
1499.98 + 31.798 = (2)? × 9.879
निम्िलिखित प्रश्ि में प्रश्ि चिन्ह ‘?’ के
स्थाि पर अिुमानित माि क्या
आएगा?
858.231 ÷ 39.345 × 74.154 –
1499.98 + 31.798 = (2)? × 9.879
1) 2
2) 3
3) 4
4) 5
5) 7
NOTES BY UTKARSH Sir

4. What approximate value will come in
the place of the question mark ‘?’ in the
following question?
130.11% of 110.04 – 220.24% of
129.88 + 24.88% of ? = 44.07% of
224.98 + 145.1% of 20.02
निम्िलिखित प्रश्ि में प्रश्ि चिन्ह ‘?’ के
स्थाि पर अिुमानित माि क्या आएगा?
110.04 का 130.11% - 129.88 का
220.24% + ? का 24.88% = 224.98
का 44.07% + 20.02 का 145.1%
1) 1074 2) 1078
3) 1080 4) 1005
5) 1085
NOTES BY UTKARSH Sir

5. What approximate value will come in
the place of the question mark ‘?’ in the
following question?
(5.1901)2 - (3.9799)3 + (6.1011)2 +
(1.8997)4 = ?
निम्िलिखित प्रश्ि में प्रश्ि चिन्ह ‘?’ के
स्थाि पर अिुमानित माि क्या
आएगा?
(5.1901)2 - (3.9799)3 +
(6.1011)2 + (1.8997)4 = ?
1) 11
2) 13
3) 15
4) 17
5) 19
NOTES BY UTKARSH Sir

6. What approximate value will come in
the place of the question mark ‘?’ in the
following question?
434.68 ÷ 7.5 – 39.99% of 129.87 = ?
निम्िलिखित प्रश्ि में प्रश्ि चिन्ह ‘?’ के
स्थाि पर अिुमानित माि क्या
आएगा?
434.68 ÷ 7.5 – 129.87 का 39.99% =
?
1) 6
2) 7
3) 5
4) 16
5) 15
NOTES BY UTKARSH Sir

7. What approximate value will come in
the place of the question mark ‘?’ in the
following question?
16.0027 ÷ 7.9102 × 23.9613 ÷ 5.9895 ×
31.9966 ÷ 8.1101 = ?
निम्िलिखित प्रश्ि में प्रश्ि चिन्ह ‘?’ के
स्थाि पर अिुमानित माि क्या
आएगा?
16.0027 ÷ 7.9102 × 23.9613 ÷
5.9895 × 31.9966 ÷ 8.1101 = ?
1) 6
2) 8
3) 16
4) 24
5) 32
NOTES BY UTKARSH Sir

8. What approximate value will come in
place of question mark (?) in the
following question?
238.45 × 58.02 ÷ 28.88 + 124.89% of
579.79 = ?
निम्िलिखित प्रश्ि में प्रश्ि चिन्ह ‘?’ के
स्थाि पर अिुमानित माि क्या
आएगा?
238.45 × 58.02 ÷ 28.88 +
579.79 का 124.89% = ?
1) 1310
2) 1398
3) 1291
4) 1201
5) 1100
NOTES BY UTKARSH Sir

9. What approximate value will come in
the place of the question mark ‘?’ in the
following question?
23.9129 - 19.0121 + 6.9901 - 8.1003 +
13.1122 - 17.8988 = ?
निम्िलिखित प्रश्ि में प्रश्ि चिन्ह ‘?’ के
स्थाि पर अिुमानित माि क्या
आएगा?
23.9129 - 19.0121 + 6.9901 -
8.1003 + 13.1122 - 17.8988 = ?
1) 2
2) 1
3) 0
4) -1
5) -2
NOTES BY UTKARSH Sir

10. What approximate value will come in
place of question mark (?) in the
following question?
288.220 ÷ 15.99 × 1.0203 – 2.003 +
3.85% of 1299.879 = ?
निम्िलिखित प्रश्ि में प्रश्ि चिन्ह ‘?’ के
स्थाि पर अिुमानित माि क्या
आएगा?
288.220 ÷ 15.99 × 1.0203 – 2.003 +
3.85% of 1299.879 = ?
1) 77
2) 58
3) 68
4) 98
5) 110
NOTES BY UTKARSH Sir

11. What approximate value will come in
place of question mark (?) in the
following question?
? = (2.303)2 – (0.488)1/2 + 1.06 of
(72.798 ÷ 582.42)
निम्िलिखित प्रश्ि में प्रश्ि चिन्ह ‘?’ के
स्थाि पर अिुमानित माि क्या
आएगा?
? = (2.303)2 – (0.488)1/2 + (72.798
÷ 582.42) का 1.06
1) 3.2
2) 5.2
3) 6.2
4) 7.2
5) 4.2
NOTES BY UTKARSH Sir

12. What approximate value will come in place
of question mark (?) in the following
question?
? = 24.003 × 7.96/8.05 × (4.98)2 ×
3.997/9.997 × (4.18 ÷ 6.007)
निम्िलिखित प्रश्ि में प्रश्ि चिन्ह ‘?’ के
स्थाि पर अिुमानित माि क्या आएगा?
? = 24.003 × 7.96/8.05 × (4.98)2 ×
3.997/9.997 × (4.18 ÷ 6.007)
1) 170
2) 168
3) 180
4) 190
5) 155
NOTES BY UTKARSH Sir

13. What approximate value will come in
place of question mark (?) in the
following question?
? = 8.97 – 4.05 + 9.02 ÷ 2.99 × 4.04 +
(1.56)2
निम्िलिखित प्रश्ि में प्रश्ि चिन्ह ‘?’ के
स्थाि पर अिुमानित माि क्या
आएगा?
? = 8.97 – 4.05 + 9.02 ÷ 2.99 ×
4.04 + (1.56)2
1) 10
2) 20
3) 30
4) 45
5) 40
NOTES BY UTKARSH Sir

14. What approximate value will come in
the place of the question mark ‘?’ in the
following question?
2? = 32.01 ÷ 128.01 × 1023.97 ÷ 7.97
निम्िलिखित प्रश्ि में प्रश्ि चिह्ि '?'
के स्थाि पर अिुमानित माि क्या
आएगा?
2? = 32.01 ÷ 128.01 × 1023.97
÷ 7.97
1) 7
2) 3
3) 5
4) 9
5) 6
NOTES BY UTKARSH Sir

15. What approximate value will come in
place of the question mark '?' in the
following question? (You are not
expected to calculate the exact value)
35.01% of ? = (35.98)2 - (32.02)2 - 62.01
निम्ि प्रश्ि में प्रश्ि चिन्ह (?) के स्थाि
पर क्या अिुमानित माि आएगा? (आपसे
सटीक माि की गणिा करिे की अपेक्षा
िहीीं है)
? का 35.01% = (35.98)2 -
(32.02)2 - 62.01​
1) 1000
2) 800
3) 400
4) 600
5) 200
NOTES BY UTKARSH Sir

16. Find the approximate value of :
(1621.01 ÷ 389.89) + [(978.87 – 218.18)
÷ 391.19]
निम्ि का िगभग माि ज्ञात कीजिये :
(1621.01 ÷ 389.89) + [(978.87 –
218.18) ÷ 391.19]
1) 2
2) 4
3) 6
4) 8
NOTES BY UTKARSH Sir