# Approximations Questions and Answers updated daily – Aptitude

Approximations Questions: Solved 780 Approximations Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Category online test. Category Questions section with detailed description, explanation will help you to master the topic.

## Approximations Questions

41. Find the approximate value for the expression

53.002 * 9.97 * (257.32 ÷ 6.01) "“ (45 * 5) + 152.23 "“ 25.31 = ?

53.002 * 9.97 * (257.32 ÷ 6.01) "“ (45 * 5) + 152.23 "“ 25.31 = ?

SHOW ANSWER

Correct Ans:22692

Explanation:

53.002 * 9.97 * (257.32 ÷ 6.01) â€“ (45 * 5) + 152.23 â€“ 25.31 = ?

----> 53 * 10 * (258/6) â€“ (45 * 5) + 152 â€“ 25

----> 530 * 43 â€“ 225 + 152 â€“ 25

----> 22790 â€“ 225 + 152 â€“ 25

----> 22942 â€“ 250 = 22692

----> 53 * 10 * (258/6) â€“ (45 * 5) + 152 â€“ 25

----> 530 * 43 â€“ 225 + 152 â€“ 25

----> 22790 â€“ 225 + 152 â€“ 25

----> 22942 â€“ 250 = 22692

**Hence, the answer is : 22692**
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42.

(15)

**What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.**(15)

^{2}- 180.01 + √170 - 25% of 249.89 = ?SHOW ANSWER

Correct Ans:-5

Explanation:

(15)

225 - 180 + 13 - (25/100)*250 = ?

225 - 180 + 13 - 62.5 = ?

? = -4.5

? ≅ -5.

^{2}- 180.01 + √170 - 25% of 249.89 = ?225 - 180 + 13 - (25/100)*250 = ?

225 - 180 + 13 - 62.5 = ?

? = -4.5

? ≅ -5.

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43.

√? = [(625.1018 + 24.003 - 358.99) - (253.01 + 31.02)]

**What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.**√? = [(625.1018 + 24.003 - 358.99) - (253.01 + 31.02)]

^{3/2}SHOW ANSWER

Correct Ans:216

Explanation:

√x = [(625.1018 + 24.003 - 358.99) - (253.01 + 31.02)]

√x = [(625 + 24 - 359) - (253 + 31)]

√x = [290 - 284]

x = (6)

x = (6)

^{3/2}√x = [(625 + 24 - 359) - (253 + 31)]

^{3/2}√x = [290 - 284]

^{3/2}x = (6)

^{(3/2)*2}x = (6)

^{3}= 216
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44.

9837 + 315*6 - 77*13 + 9.9% of 1575 = ?

**What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.**9837 + 315*6 - 77*13 + 9.9% of 1575 = ?

SHOW ANSWER

Correct Ans:10880

Explanation:

9837 + 315*6 - 77*13 + 9.9% of 1575 = x

9837 + 1890 - 1001 + (10*1575)/100 = x

x = 10726 + 157.5 = 10883.5 = 10880 (approx)

9837 + 1890 - 1001 + (10*1575)/100 = x

x = 10726 + 157.5 = 10883.5 = 10880 (approx)

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45. **What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.**

24.97% of 1459.98 - ? % of 1120.4 = 29.04

24.97% of 1459.98 - ? % of 1120.4 = 29.04

SHOW ANSWER

Correct Ans:30

Explanation:

24.97% of 1459.98 - x% of 1120.4 = 29.04

(25 * 1460)/100 - (x * 1120)/100 = 29

112x/10 = 365 - 29

x = (336 * 10)/112 = 30

(25 * 1460)/100 - (x * 1120)/100 = 29

112x/10 = 365 - 29

x = (336 * 10)/112 = 30

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46. **What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.**

17.98

17.98

^{2}+ âˆœ(15.98)^{2}+ âˆ›?^{37}= 329SHOW ANSWER

Correct Ans:1

Explanation:

17.98

18

324 + 16

4 + âˆ›x

âˆ›x

âˆ›x

x = 1

^{2}+ âˆœ(15.98)^{2}+ âˆ›x^{37}= 32918

^{2}+ âˆœ(16)^{2}+ âˆ›x^{37}= 329324 + 16

^{2/4}+ âˆ›x^{37}= 3294 + âˆ›x

^{37}= 329 - 324âˆ›x

^{37}= 5 - 4âˆ›x

^{37}= 1x = 1

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47. **What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.**

239.89% of 400.23 + (35.96)

239.89% of 400.23 + (35.96)

^{2}- 59.99% of 1999.89 = (24.89)^{2}SHOW ANSWER

Correct Ans:431

Explanation:

239.89% of 400.23 + (35.96)

240% of 400 + 36

(240/100)*400 + 1296 - (60/100)*2000 = 625 + ?

960 + 1296 - 1200 = 625 + ?

? = 431.

^{2}- 59.99% of 1999.89 = (24.89)^{2}+ ?240% of 400 + 36

^{2}- 60% of 2000 = 25^{2}+ ?(240/100)*400 + 1296 - (60/100)*2000 = 625 + ?

960 + 1296 - 1200 = 625 + ?

? = 431.

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48. **What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.**

√17398 * √11025 + √627 = ? - √731

√17398 * √11025 + √627 = ? - √731

SHOW ANSWER

Correct Ans:9082

Explanation:

√7398 * √11025 + √627 = x - √731

√7398 * √11025 + √625 = x - √729

86 * 105 + 25 = x - 27

x = 9030 + 25 + 27 = 9082

√7398 * √11025 + √625 = x - √729

86 * 105 + 25 = x - 27

x = 9030 + 25 + 27 = 9082

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49. **What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.**

516 * 3719/31% of 2399 = 64 * 125.89/7.21 + ? - 1899

516 * 3719/31% of 2399 = 64 * 125.89/7.21 + ? - 1899

SHOW ANSWER

Correct Ans:3330

Explanation:

516 * 3720 / 31% of 2400 = 64*126/7 + x - 1900

516 * 3720 / [(31/100)*2400] = 64*(126/7) + x - 1900

516 * 3720 / 744 = 1152 + x - 1900

516 * 5 = x - 748

x = 2580 + 748 = 3328

= 3330 (approx)

516 * 3720 / [(31/100)*2400] = 64*(126/7) + x - 1900

516 * 3720 / 744 = 1152 + x - 1900

516 * 5 = x - 748

x = 2580 + 748 = 3328

= 3330 (approx)

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50. **What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.**

√(223.89 + 59.87 - √(399.98) - 8) = ? - âˆ›511.98

√(223.89 + 59.87 - √(399.98) - 8) = ? - âˆ›511.98

SHOW ANSWER

Correct Ans:24

Explanation:

√(223.89 + 59.87 - √(399.98) - 8) = x - âˆ›511.98

√(224 + 60 - √(400) - 8) = x - âˆ›512

√(224 + 60 - 20 - 8) = x - 8

√(256) = x - 8

16 = x - 8

x = 24

√(224 + 60 - √(400) - 8) = x - âˆ›512

√(224 + 60 - 20 - 8) = x - 8

√(256) = x - 8

16 = x - 8

x = 24

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51. **What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.**

√675 of 51.3% x √3024 ÷ (10.7/89.9) = 116.97 x ?

√675 of 51.3% x √3024 ÷ (10.7/89.9) = 116.97 x ?

SHOW ANSWER

Correct Ans:51

Explanation:

√675 of 51.3% x √3024 ÷ (10.7/89.9) = 116.97 x ?

√675 of 51% x √3024 ÷ (11/90) = 117 x ?

26 x (51/100) x 55 x (90/11) x (1/117) = ?

? = 51.

√675 of 51% x √3024 ÷ (11/90) = 117 x ?

26 x (51/100) x 55 x (90/11) x (1/117) = ?

? = 51.

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52. **What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.**

(577.93 + ?)/15.97 + 61.87% of 1449.87 = - √2024.87 + 13.89% of 7099.97

(577.93 + ?)/15.97 + 61.87% of 1449.87 = - √2024.87 + 13.89% of 7099.97

SHOW ANSWER

Correct Ans:222

Explanation:

(577.93 + x)/15.97 + 61.87% of 1449.87 = - √2024.87 + 13.89% of 7099.97

(578 + x)/16 + (62/100)*1450 = - √2025 + (14/100) * 7100

(578 + x)/16 + 31*29 = - 45 + 14*71

(578 + x)/16 + 899 = - 45 + 994

(578 + x)/16 = 50

(578 + x) = 50*16

x = 800 - 578 = 222

(578 + x)/16 + (62/100)*1450 = - √2025 + (14/100) * 7100

(578 + x)/16 + 31*29 = - 45 + 14*71

(578 + x)/16 + 899 = - 45 + 994

(578 + x)/16 = 50

(578 + x) = 50*16

x = 800 - 578 = 222

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53. **What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.**

(36.01)

(36.01)

^{3}* (4096)^{1/2}* (37.99)^{2}/ (9^{3}x 75.98^{2}) = 4^{?}SHOW ANSWER

Correct Ans:5

Explanation:

(36.01)

36

(4

(4

4

x = 5

^{3}* (4096)^{1/2}* (37.99)^{2}/ (9^{3}x 75.98^{2}) = 4^{x}36

^{3}* 64 * 38^{2}/ (9^{3}x 76^{2}) = 4^{x}(4

^{3}* 9^{3}* 4^{3}* 38 * 38) / (9^{3}x 76 * 76) = 4^{x}(4

^{3}* 4^{3}) / 2 * 2 = 4^{x}4

^{x}= 4^{(2 + 3)}x = 5

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54. **What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.**

4.78% of 1255 + 3.24% of 440 = 0.5% of ?

4.78% of 1255 + 3.24% of 440 = 0.5% of ?

SHOW ANSWER

Correct Ans:14800

Explanation:

4.78% of 1255 + 3.24% of 440 = 0.5% of x

(4.78/100) * 1255 + (3.24/100) * 440 = (0.5/100) * x

4.8*12.5 + 3.2*4.4 = (0.5/100) * x

60 + 14 = (0.5/100) * x

x = (74*100)/0.5 = 14800

(4.78/100) * 1255 + (3.24/100) * 440 = (0.5/100) * x

4.8*12.5 + 3.2*4.4 = (0.5/100) * x

60 + 14 = (0.5/100) * x

x = (74*100)/0.5 = 14800

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55. **What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.**

1440.0003 ÷ 23.999 x 2.5 x 3 = ?

1440.0003 ÷ 23.999 x 2.5 x 3 = ?

SHOW ANSWER

Correct Ans:450

Explanation:

1440.0003 ÷ 23.999 x 2.5 x 3 = ?

1440 ÷ 24 x 2.5 x 3 = ?

60 x 2.5 x 3 = ?

? = 450.

1440 ÷ 24 x 2.5 x 3 = ?

60 x 2.5 x 3 = ?

? = 450.

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56.

**What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.**

12.03% of 849.95 + 1499.92% of 25.95 = 3.98 x ?

12.03% of 849.95 + 1499.92% of 25.95 = 3.98 x ?

SHOW ANSWER

Correct Ans:123

Explanation:

12.03% of 849.95 + 1499.92% of 25.95 = 3.98 x ?

12% of 850 + 1500% of 26 = 4 x ?

(12/100)*850 + (1500/100)*26 = 4 x ?

102 + 390 = 4 x ?

? = 492/4

? = 123.

12% of 850 + 1500% of 26 = 4 x ?

(12/100)*850 + (1500/100)*26 = 4 x ?

102 + 390 = 4 x ?

? = 492/4

? = 123.

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57. 47.03 x 26.96 +14.98 x (42900)

^{1/3}+ 234.88 x 4.965 = ?SHOW ANSWER

Correct Ans:2969

Explanation:

47.03 x 26.96 +14.98 x (42900)

47 x 27 + 15 x (42900)

1269 + 15 x (35

1269 + 525 + 1175 = ?

? = 2969.

^{1/3}+ 234.88 x 4.965 = ?47 x 27 + 15 x (42900)

^{1/3}+ 235 x 5 = ?1269 + 15 x (35

^{3})^{1/3}+ 1175 = ?1269 + 525 + 1175 = ?

? = 2969.

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58. [(176.83 + ?)/19.97] x 16.99 + 199.87 = 24.87

^{2}SHOW ANSWER

Correct Ans:323

Explanation:

[(176.83 + ?)/19.97] x 16.99 + 199.87 = 24.87

[(177 + ?)/20] x 17 + 200 = 25

[(177 + ?)/20] x 17 = 625 - 200

177 + ? = (425 x 20)/17

177 + ? = 500

? = 500 - 177

? = 323.

^{2}[(177 + ?)/20] x 17 + 200 = 25

^{2}[(177 + ?)/20] x 17 = 625 - 200

177 + ? = (425 x 20)/17

177 + ? = 500

? = 500 - 177

? = 323.

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59. (439.92)/? = 7.99

^{3}- 2.03^{3}- (242.04 x 1.99)SHOW ANSWER

Correct Ans:22

Explanation:

439.92/? = 7.99

440/ ? = 8

440/? = 512 - 8 - 484

? = 440/20

? = 22.

^{3}- 2.03^{3}- (242.04 x 1.99)440/ ? = 8

^{3}- 2^{3}- (242 x 2)440/? = 512 - 8 - 484

? = 440/20

? = 22.

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60. âˆš10000 + (3.001/4.987) of 1890.092 = ?

SHOW ANSWER

Correct Ans:1234

Explanation:

âˆš10000 + (3.001/4.987) of 1890.092 = ?

âˆš10000 + (3/5)*1890 = ?

100 + 1134 = ?

? = 1234

âˆš10000 + (3/5)*1890 = ?

100 + 1134 = ?

? = 1234

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