Quantitative Aptitude

Simplification and Approximation

647 Questions
All Approximate with option-sensitive rounding 386 Percentage calculation 112 Calculate squares and identify square roots 38 Simplify surds and indices 29 VBODMAS 27 Recognize algebraic identity patterns 23 Use cube patterns and perfect cube roots 15 Fraction and mixed number reduction 13 Mixed recurring decimals 3 Integer division and remainders 1

Simplification and Approximation Questions

Multiple choice

What approximate value will come in place of question marks in the given question? दिए गए प्रश्नों में प्रश्नवाचक चिन्ह के स्थान पर लगभग क्या मान आएगा? 23 X 15 - 60 +? ÷ 31=292

  1. 336

  2. 435

  3. 124

  4. 322

  5. 217
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

23 × 15 = 345. 345 - 60 = 285. 292 - 285 = 7. 7 × 31 = 217. Working backwards: subtract the known parts from 292 to find what the unknown must contribute, then multiply by 31.

Multiple choice

what approximate value should come in place of question mark in the following questions? (You are not expected to calculate the exact value). निम्न लिखित प्रश्नो में प्रश्नचिन्ह के स्थान पर कौन सा अनुमानिए मान आना चाहिए। (आपको सटीक मान निकलने की आवश्यकता नहीं है ) 21.003 × 39.998 – 209.91 = 126 ×?

  1. 5

  2. 2

  3. 4

  4. 6

  5. 3
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Approximate: 21 × 40 = 840. 840 - 210 = 630. So 126 × ? = 630, which gives ? = 630/126 = 5. Let's verify with actual numbers: 21.003 × 39.998 ≈ 840 (since 21×40=840). 840 - 209.91 ≈ 630. 630/126 = 5. The answer is approximately 5.

Multiple choice

Find the approximate value of the question mark (?) प्रश्नवाचक चिंह (?) का अनुमानित मान ज्ञात कीजिये 7742.123 ÷ 79.42 × 15.01 =? × 6.1

  1. 245

  2. 250

  3. 150

  4. 100

  5. 300
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Approximate 7742 as 7700, 79.42 as 80, and 15.01 as 15. Then 7700 ÷ 80 = 96.25, and 96.25 × 15 = 1443.75. Finally, 1443.75 ÷ 6.1 ≈ 236-240, which rounds to 245 as the closest option. The question asks for approximation, not exact calculation.

Multiple choice

What approximate value will come in the place of the question mark"?' in the following question? (34.03\% \text{ of } 550.08 \div ? = 297.08 + \sqrt{728.97} - \sqrt{89998} )

  1. 14

  2. 21

  3. 8

  4. 17

  5. 12
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

First, simplify the square roots: √728.97 ≈ √729 = 27, and √89998 ≈ √90000 = 300. Calculate the right side: 297.08 + 27 - 300 = 24.08. For the left side: 34.03% of 550.08 ≈ 34/100 × 550 = 187. So we have 187/? ≈ 24. Solving: ? ≈ 187/24 ≈ 7.8, which rounds to 8. Option C (8) is the correct approximate value.

Multiple choice

What approximate value should come in place of question mark in the following questions? (You are not expected to calculate the exact value). (85\% \text{ of } 225 + 32.91 \times 5.01 =?)
  1. $340$
  2. $355$
  3. $375$
  4. $345$
  5. $370$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The expression is 85% of 225 + 32.91 × 5.01. 85% of 225 = 0.85 × 225 = 191.25. 32.91 × 5.01 ≈ 33 × 5 = 165. Adding: 191.25 + 165 ≈ 356.25. Among the options, 355 is the closest approximate value. Other options are either lower (340, 345) or higher (370, 375).

Multiple choice

Find out the approximate value which should replace the question mark (?) in the following question. 8.02 – (? - 9.01) + (10.92)2 = 120

  1. 3

  2. -3

  3. 18

  4. 5

  5. 2
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Rearranging: 8.02 - (? - 9.01) + 119.25 = 120. Combining: 8.02 + 9.01 + 119.25 - ? = 120, so 136.28 - ? = 120, giving ? = 16.28. However, using the options with ? = 18: 8.02 - (18 - 9.01) + 119.25 = 8.02 - 8.99 + 119.25 = 118.28 ≈ 120. The closest match is option C (18).

Multiple choice

What approximate value will come at place of question mark? प्रश्न चिन्ह के स्थान पर लगभग क्या मान आएगा? 17.69% of 2438 + 13.31% of 4932 + (114.78)2 = ? + (79.82)2

  1. 8900

  2. 7850

  3. 7900

  4. 7930

  5. 7875
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Calculate 17.69% of 2438 ≈ 431, 13.31% of 4932 ≈ 657, (114.78)² ≈ 13175. Sum left side ≈ 14263. Right side: (79.82)² ≈ 6371. So ? ≈ 14263 - 6371 ≈ 7892, closest to 7900 (option C).

Multiple choice

Find the approximate value of question marks (?) in the given below questions. नीचे दिए गए प्रश्नों में प्रश्नवाचक चिन्ह (?) का लगभग मान ज्ञात कीजिए। (47 × 562.58) ÷ (23 × 112.23) = ?

  1. 17

  2. 10

  3. 18

  4. 21

  5. 12
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Simplify step by step: (47 × 562.58) ÷ (23 × 112.23) ≈ (47 × 563) ÷ (23 × 112) ≈ 26461 ÷ 2576 ≈ 10.27. The approximate value is 10. Option B is correct.

Multiple choice

What approximate value should come in place of question mark in the following questions? (You are not expected to calculate the exact value). ( (67.8)^2 - (43.2)^2 - (12.9)^2 = ? )

  1. 2600

  2. 2700

  3. 2800

  4. 2500

  5. 2900
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Using the difference of squares formula: a² - b² = (a+b)(a-b). So (67.8)² - (43.2)² = (67.8+43.2)(67.8-43.2) = 111 × 24.6 = 2730.6. Then subtract (12.9)² = 166.41. Total: 2730.6 - 166.41 = 2564.19 ≈ 2600. Option A (2600) is the closest approximation.