# 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 = ?

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

Hence, the answer is : 22692
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42. 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 = ?

Correct Ans:-5
Explanation:
(15)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. 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

Correct Ans:216
Explanation:
√x = [(625.1018 + 24.003 - 358.99) - (253.01 + 31.02)]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. 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 = ?

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)
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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

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
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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.
17.982 + âˆœ(15.98)2 + âˆ›?37 = 329

Correct Ans:1
Explanation:
17.982 + âˆœ(15.98)2 + âˆ›x37 = 329
182 + âˆœ(16)2 + âˆ›x37 = 329
324 + 162/4 + âˆ›x37 = 329
4 + âˆ›x37 = 329 - 324
âˆ›x37 = 5 - 4
âˆ›x37 = 1
x = 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)2 - 59.99% of 1999.89 = (24.89)2

Correct Ans:431
Explanation:
239.89% of 400.23 + (35.96)2 - 59.99% of 1999.89 = (24.89)2 + ?
240% of 400 + 362 - 60% of 2000 = 252 + ?
(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

Correct Ans:9082
Explanation:
√7398 * √11025 + √627 = x - √731
√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

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)
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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

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
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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 ?

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.
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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

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
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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)3 * (4096)1/2 * (37.99)2 / (93 x 75.982) = 4?

Correct Ans:5
Explanation:
(36.01)3 * (4096)1/2 * (37.99)2 / (93 x 75.982) = 4x
363 * 64 * 382 / (93 x 762) = 4x
(43 * 93 * 43 * 38 * 38) / (93 x 76 * 76) = 4x
(43 * 43) / 2 * 2 = 4x
4x = 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 ?

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
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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 = ?

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.
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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 ?

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.
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57. 47.03 x 26.96 +14.98 x (42900)1/3 + 234.88 x 4.965 = ?

Correct Ans:2969
Explanation:
47.03 x 26.96 +14.98 x (42900)1/3 + 234.88 x 4.965 = ?
47 x 27 + 15 x (42900)1/3 + 235 x 5 = ?
1269 + 15 x (353)1/3 + 1175 = ?
1269 + 525 + 1175 = ?
? = 2969.
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58. [(176.83 + ?)/19.97] x 16.99 + 199.87 = 24.872

Correct Ans:323
Explanation:
[(176.83 + ?)/19.97] x 16.99 + 199.87 = 24.872
[(177 + ?)/20] x 17 + 200 = 252
[(177 + ?)/20] x 17 = 625 - 200
177 + ? = (425 x 20)/17
177 + ? = 500
? = 500 - 177
? = 323.
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59. (439.92)/? = 7.993 - 2.033 - (242.04 x 1.99)

Correct Ans:22
Explanation:
439.92/? = 7.993 - 2.033 - (242.04 x 1.99)
440/ ? = 83 - 23 - (242 x 2)
440/? = 512 - 8 - 484
? = 440/20
? = 22.
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60. âˆš10000 + (3.001/4.987) of 1890.092 = ?

Correct Ans:1234
Explanation:
âˆš10000 + (3.001/4.987) of 1890.092 = ?
âˆš10000 + (3/5)*1890 = ?
100 + 1134 = ?
? = 1234
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