# 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

21. What approximate value should come in place of question mark?
(575.98/?) x 13.98+ 35.89% of 450.09 = 15.11% of 2199.97

Correct Ans:48
Explanation:
(575.98/?) x 13.98 + 35.89% of 450.09 = 15.11% of 2199.97
(576/?) x 14 + 36% of 450 = 15% of 2200
(576/?) x 14 + (36/100) x 450 = (15/100) x 2200
(576/?) x 14 + 162 = 330
(576/?) x 14 = 330 - 162
? = (576 x 14)/168
? = 48.
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22. What approximate value should come in place of question mark?

3456.87 ÷ 99.87 + 4345 ÷ 100.12 = 4/5 of ?

Correct Ans:98
Explanation:
Given expression, 3456.87 ÷ 99.87 + 4345 ÷ 100.12 = 4/5 of ?
---> 4/5 of ? ≅ 3457/100 + 4345/100
---> 4/5 of ? ≅ 34.57 + 43.45
---> 4/5 of ? ≅ 78.02
---> ? ≅ 78.02 * (5/4)
---> ? ≅ 390.1/4
---> ? ≅ 97.525
---> ? ≅ 98
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23. What approximate value should come in place of question mark?

(564.89 + 7846.13 - 40.93) / (456.05 - 320.91) = 1.94 * (?)

Correct Ans:31
Explanation:
(564.89 + 7846.13 - 40.93) / (456.05 - 320.91) = 1.94 * x
(565 + 7846 - 41) / (456 - 321) = 2x
8370/135 = 2x
62 = 2x
x = 62/2
x = 31
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24. What approximate value should come in place of question mark?

11.99% of 1024.68 + âˆš1370 - ? = 4.68% of 199.99

Correct Ans:150
Explanation:
11.99% of 1024.68 + âˆš1370 - ? = 4.68% of 199.99
12% of 1025 + âˆš1370 - ? = 5% of 200
(12/100)*1025 + 37 - ? = (5/100)*200
123 + 37 - ? = 10
? = 123 + 37 - 10
? = 150.
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25. What approximate value will come in the place of question (?) mark:

[((149 / 3) / 9.97)2 + (64.13 Ã— 9.05)1/2] = (?)2

Correct Ans:7
Explanation:
[((149 / 3) / 9.97)2 + √(64.13 Ã— 9.05)] = (x)2
[((150 / 3) / 10)2 + √(64 Ã— 9)] = x2
(150/30)2 + (8*3) = x2
25 + 24 = x2
x2 = 49
x = 7
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26. What approximate value will come in the place of question (?) mark:

6(1/5) of 19475 + 7(2/7) of 308.29 = ? % of 604 + 858.85

Correct Ans:20355
Explanation:
6(1/5) of 19475 + 7(2/7) of 308.29 = x % of 604 + 858.85
(31/5)*19475 + (51/7)*308 = (x/100)*600 + 859
31*3895 + 51*44 = 6x + 859
120745 + 2244 = 6x + 859
120745 + 2244 - 859 = 6x
6x = 122130
x = 20355
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27. What approximate value will come in the place of question (?) mark:

(17.89*?) / 28.21 + 124.89 % of 83.98 -16.98 % of 299.89 = (5.98)3

Correct Ans:252
Explanation:
(17.89*?) / 28.21 + 124.89 % of 83.98 -16.98 % of 299.89 = (5.98)3
(18*x) / 28 + (125/100) * 84 - (17/100) * 300 = 63
9x/14 + (5*21) - (17*3) = 216
9x/14 = 216 - 105 + 51
9x/14 = 162
x = 18*14 = 252
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28. What approximate value should come in place of question mark (?) in the following question?
(Note: you are not expected to calculate the exact value.)

√0.000049 * ∛0.729 * √0.0225 * 1000 = ?

Correct Ans:0.945
Explanation:
Given expression, √0.000049 * ∛0.729 * √0.0225 * 1000 = ?
≅ 0.007 * 0.9 * 0.15 * 1000
≅ 7 * 10-3 * 9 * 10-1 * 15 * 10-2 * 103
≅ 7 * 9 * 15 * 10-3
≅ 945 * 10-3
0.945
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29. What approximate value should come in place of question mark (?) in the following question?
(Note: you are not expected to calculate the exact value.)

325.79 * 40.57 + √51 * 3780 - (12 * 27) + (241 + 30) + (69 + 11) = ?

Correct Ans:39853
Explanation:
Given Expression, 325.79 * 40.57 + √51 * 3780 - (12 * 27) + (241 + 30) + (69 + 11) = ?
≅ 326 * 41 + √49 * 3780 - 324 + 271 + 80
≅ 13366 + 7 * 3780 - 324 + 351
≅ 13366 + 26460 - 324 + 351
≅ 40177 - 324
≅ 39853
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30. What approximate value will come in place of 'x' in the following question? (You do not have to calculate the exact value).

294.01 * (x/8.01) - 19.99% of 119.99x = 254.9 ÷ 1.9

Correct Ans:10
Explanation:
Given expression, 294.01 * (x/8.01) - 19.99% of 119.99x = 254.9 ÷ 1.9
≅ 294 * (x/8) - 20% of 120x = 255/2
≅ 36.75x - (1/5) * 120x = 127.5
≅ 36.75x - 24x = 127.5
≅ 12.75x = 127.5
x = 10
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31. Find the approximate value for the expression
9980 ÷ 49 * (4.9)2 -1130 = ?

Correct Ans:3870
Explanation:
Approximate value be calculated as
----> 9980 ÷ 49 * (4.9)2 -1130 = ?
----> 10000 ÷50 * 25 - 1130
----> 200 * 25 â€“ 1130 = 3870
----> Hence the answer is : 3870
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32. Find the approximate value for the expression
4.99 * 12.865 + 599 - 24.93% of 359.89 = ?

Correct Ans:575
Explanation:
4.99 * 12.865 + 599 - 24.93% of 359.89 = ?
Approximates value can be calculated as
----> 5 * 13 + 600 - 25% of 360
----> 65 + 600 - 0.25 * 360
----> 665 -90=575
Hence, the answer is : 575
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33. What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value

√(?) + (14.04)2 * 18.234 ÷ 6.127 - 1029 = 83.001 * (12.084 "“ 7.05)

Correct Ans:732736
Explanation:
√(?) + (14.04)2 * 18.234 ÷ 6.127 - 1029 = 83.001 * (12.084 â€“ 7.05)
---> √(?) + (14)2 * 18 ÷ 6 - 1029 = 83 * (12 â€“ 7)
---> √(?) + 196 * 3 - 1029 = 83 * (5)
---> √(?) + 588 - 1029 = 415
----> √(?) = 415 - 588 + 1029
----> √(?) = 856
----> (?) = (856)2
---> (?) = 732736
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34. What approximate value should come in place of the question mark (?) in the following question. No need to calculate the exact value.

(37.12)2 + (43.88)2 = (?2 "“ √2600) * √1297

Correct Ans:12
Explanation:
(37.12)2 + (43.88)2 = (?2 â€“ √2600) * √1297
---> (37)2 + (44)2 ≅ (?2 â€“ √2601) * √1296
----> (?2 â€“ 51) * 36 ≅ (37)2 + (44)2
----> (?2 â€“ 51) ≅ (1369 + 1936) / 36
---> (?2 â€“ 51) ≅ (3305) / 36
---> (?2 â€“ 51) ≅ 91.8
---> ?2 ≅ 91.8 + 51
---> ?2 ≅ 142.8
---> ?2 ≅ 144
----> ? ≅ √144
----> ? ≅ 12
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35. Find the approximate value for the expression
21 + 67 ÷ 17 - 9.98% of 59.91= ? - 59.88% of 85.10

Correct Ans:70
Explanation:
21 + 67 ÷ 17 - 9.98% of 59.91= ? - 59.88% of 85.10
Approximates value can be calculated as
---> 21 + 4 - 10% of 60 = ? - 60% of 85
---> 21 + 4 -6 + 51 = 70
Hence, the answer is : 70
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36. Find the approximate value for the expression
1555 - 24.8% of 858 + 960 of (11/15.9)= ?

Correct Ans:2000
Explanation:
1555 - 24.8% of 858 + 960 of (11/15.9)= ?
Approximates value can be calculated as
----> 1555 - 25% of 860 + 960 of (11/16)
----> 1555- 215 + 660 = 2000
Hence, the answer is : 2000
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37. Find the approximate value for the question mark in the following expression:
165.01 * 27.114 - ? ÷ √0.0677 = 751.98 * 0.251

Correct Ans:1109
Explanation:
Given expression:
165.01 * 27.114 - ? ÷ √0.0677 = 751.98 * 0.251
---> 165 * 27 - ? / √0.0676 ≅ 752 * 0.25
---> 4455 - ? / 0.26 ≅ 188
---> 4455 - ? / 0.26 ≅ 188
---> ? ≅ (4455 - 188) * 0.26
---> ? ≅ (4267) * 0.26
---> ? ≅ 1,109.42â€¬
---> ? ≅ 1,109
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38. Find the approximate value for the expression:
(∛42876 ÷ √48) + (152 - 20.95 * 10.05) - √625.04

Correct Ans:-5
Explanation:
Given expression:
(∛42876 ÷ √48) + (152 - 20.95 * 10.05) - √625.04
≅ (∛42875 / √49) + (152 - 21 * 10) - √625
≅ (35 / 7) + (225 - 21 * 10) - 25
≅ 5 + (225 - 210) - 25
≅ 5 + 15 - 25
≅ -5
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39. Find the approximate value for the expression:
[(14.84% of 379.97) + (35.35% of 420.02) - (2/5) * 575.2 + 9.8% of 2300.6] / √(9.87 - 5.78)

Correct Ans:102
Explanation:
Given expression:
[(14.84% of 379.97) + (35.35% of 420.02) - (2/5) * 575.2 + 9.8% of 2300.6] / √(9.87 - 5.78)
≅ [(15% of 380) + (35% of 420) - (2/5) * 575 + 10% of 2300] / √(10 - 6)
≅ [57 + 147 - 230 + 230] / √(4)
≅ [57 + 147] / 2
≅ [204] / 2
≅ 102
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40. Find the approximate value for the expression
(1105.08/13) "“ 4.8% of 250 "“ 7.9% of (34.9 * 10) = ? % of 300

Correct Ans:15
Explanation:
(1105.08/13) â€“ 4.8% of 250 â€“ 7.9% of (34.9 * 10) = ? % of 300
---> (1105.08/13) â€“ 4.8% of 250 â€“ 7.9% of (34.9 * 10) = ? % of 300
---> (1105/13) â€“ 12 â€“ 8% of 350 = ? % of 300
---> 85 â€“ 12 â€“ 28 = ? % of 300
---> (300/100) * ? = 45
---> ? = (4500 /300)
---> ? = 15
Hence, the answer is : 15
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