Decimal and Fraction Level - 4
Q1–10 of 50Direction: What approximate value should come in place of the question mark (?) in the following questions? (You are not required to calculate the exact value.)
$\frac{(41.99)^2 - (18.04)^2}{?} = (13.11)^2 - 138.99$
{(41.99)² − (18.04)²} ÷ ? = (13.11)² − 138.99
⇒ {(42)² − (18)²} ÷ ? = (13)² − 139 {∵ a² − b² = (a+b)(a−b)}
⇒ {(42+18)(42−18)} ÷ ? = 169 − 139
⇒ 60 × 24 ÷ ? = 30
⇒ ? = (60 × 24)/30 = 48
Direction: What approximate value should come in place of the question mark (?) in the following questions? (You are not required to calculate the exact value.)
$270.99 + 254.98 - 121.99 = ? + 35.98 \times 9.09$
270.99 + 254.98 − 121.99 = ? + 35.98 × 9.09
⇒ 271 + 255 − 122 = ? + 36 × 9
⇒ 526 − 122 = ? + 324
⇒ ? = 404 − 324 = 80
Direction: What approximate value should come in place of the question mark (?) in the following questions? (You are not required to calculate the exact value.)
$2.93 \times 4.85 - ? - 6.97(2.02 + 0.99) = \sqrt[3]{511.9}$
2.93 × 4.85 − ? − 6.97 × (2.02 + 0.99) = ∛511.9
⇒ 3 × 5 − ? − 7 × (2 + 1) = ∛512
⇒ 15 − ? − 21 = 8
⇒ −? − 6 = 8
∴ ? = −14
Direction: What approximate value should come in place of the question mark (?) in the following questions? (You are not required to calculate the exact value.)
$599.99 \times \frac{3}{2} \text{ of } 19.92\% \text{ of } (109.99 - 9.99) = ?$
599.99 × 3/2 of 19.92% of (109.99 − 9.99) = ?
⇒ 600 × 3/2 of 20% of 100 = ?
⇒ 600 × 3/2 of 20 = ?
⇒ 600 × 30 = ?
∴ ? = 18000
Direction: What approximate value should come in place of the question mark (?) in the following questions? (You are not required to calculate the exact value.)
$\frac{2.992 \times 3.992 \times 4.99}{35.99} = (?)^2 - 79.99$
(2.992 × 3.992 × 4.99) ÷ 35.99 = (?)² − 79.99
⇒ (3² × 4² × 5) ÷ 36 = (?)² − 80
⇒ (?)² = (9 × 16 × 5) ÷ 36 + 80
⇒ (?)² = (720 ÷ 36) + 80
⇒ (?)² = 20 + 80 = 100
∴ ? = 10
Direction: What approximate value should come in place of the question mark (?) in the following questions? (You are not required to calculate the exact value.)
$324.95 - \left[(11.99)^2 - 74.9\right] = (?)^2 - 67.99$
⇒ 325 − [(12)² − 75] = (?)² − 68
⇒ 325 − [144 − 75] + 68 = (?)²
⇒ 325 − 69 + 68 = (?)²
⇒ (?)² = 324
∴ ? = 18
Direction: What approximate value should come in place of the question mark (?) in the following questions? (You are not required to calculate the exact value.)
$39.87 + 56.83 - 19.11 \times 3.99 + 7.84 = ?$
39.87 + 56.83 − 19.11 × 3.99 + 7.84 = ?
⇒ 40 + 57 − 19 × 4 + 8 = ?
⇒ 97 − 76 + 8 = ?
⇒ 105 − 76 = ?
∴ ? = 29
Direction: What approximate value should come in place of the question mark (?) in the following questions? (You are not required to calculate the exact value.)
$\frac{864.02}{3.99} + \frac{38.05}{18.98} \times 110.01 = ?$
⇒ ? = 864 ÷ 4 + 38 ÷ 19 × 110
⇒ ? = 216 + 2 × 110
⇒ ? = 216 + 220 = 436
Direction: What approximate value should come in place of the question mark (?) in the following questions? (You are not required to calculate the exact value.)
$936.43 \div 13 \div 3.99 \times 12 - 13.48 \times 13.33 = ?$
⇒ 936 ÷ 13 ÷ 4 × 12 − 13 × 13 = ?
⇒ ? = 72 ÷ 4 × 12 − 169
⇒ ? = 18 × 12 − 169 = 47
Direction: What approximate value should come in place of the question mark (?) in the following questions? (You are not required to calculate the exact value.)
$\frac{(23.42 + 17.43)}{2} \times 4 - 48.25 + 643.86 = ?$
⇒ (23 + 17) ÷ 2 × 4 − 48 + 644 = ?
⇒ (23 + 17) × 2 + 596 = ?
⇒ 40 × 2 + 596 = ?
∴ ? = 676