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 at place of question mark (?) in the following question?(1699\times299\div49-1298 + 2877 = ?)

  1. 11000

  2. 11800

  3. 11500

  4. 12500

  5. 11200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Using approximation: 1699 ≈ 1700, 299 ≈ 300, 49 ≈ 50. So 1700 × 300 ÷ 50 = 1700 × 6 = 10200. Then 10200 - 1298 + 2877 ≈ 10200 - 1300 + 2877 = 8900 + 2877 = 11777, closest to 11800. The key is rounding consistently and performing operations step by step.

Multiple choice

$What approximate value will come in place of question mark (?) in the following questions ? (You are not expected to calculate the exact value.)$ $( (14.96)^{2} - (18.03)^{2} + (17.09)^{2} - 42.35 = ? )$

  1. 120

  2. 150

  3. 170

  4. 100

  5. 200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Approximate: 14.96² ≈ 15² = 225, 18.03² ≈ 18² = 324, 17.09² ≈ 17² = 289. So 225 - 324 + 289 - 42.35 = (225 - 324) = -99, then -99 + 289 = 190, then 190 - 42 = 148, closest to 150. The calculation involves squaring approximated values and combining them.

Multiple choice

What approximate value will come in place of question mark (?) in the questions given below?\newline\textbf{125\% of 8475 + 88 \times 14.995 = ?}

  1. 11200

  2. 11600

  3. 12000

  4. 11900

  5. 11500
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Calculate 125% of 8475 = 1.25 × 8475 ≈ 10594. Then 88 × 14.995 ≈ 88 × 15 = 1320. Sum = 10594 + 1320 = 11914, which rounds to 11900. Option D is correct. The key is approximating 14.995 as 15 and recognizing that 125% means 1.25.

Multiple choice

\text{What approximate value will come in place of question mark (?) in the questions given below? }\ \text{721.001 } \times \text{ 7.998 + 6.05 } \times \text{ 8.010 = ?}

  1. 5700

  2. 5800

  3. 5900

  4. 5600

  5. 5500
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Approximate: 721.001 ≈ 720, 7.998 ≈ 8, so 720 × 8 = 5760. Then 6.05 ≈ 6, 8.010 ≈ 8, so 6 × 8 = 48. Total = 5760 + 48 = 5808, closest to 5800. Option B is correct. The slight overestimation in first product compensates for second product.

Multiple choice

What approximate value will come in place of question mark (?) in the questions given below? 63251 × 82 = ? × 42105

  1. 105

  2. 190

  3. 125

  4. 145

  5. 175
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Set up equation: 63251 × 82 = ? × 42105. Calculate LHS: 63251 × 82 ≈ 63000 × 82 = 5,166,000. Then ? = 5,166,000 ÷ 42105 ≈ 123, closest to 125. More precisely: 63251 × 82 = 5,186,582. Divide by 42105: 5,186,582 ÷ 42,105 ≈ 123.2. Option C (125) is the closest. The calculation requires careful multiplication and division.