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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




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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 ?




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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 * (?)




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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 + √1370 - ? = 4.68% of 199.99




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Correct Ans:150
Explanation:
11.99% of 1024.68 + √1370 - ? = 4.68% of 199.99
12% of 1025 + √1370 - ? = 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 × 9.05)1/2] = (?)2




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Correct Ans:7
Explanation:
[((149 / 3) / 9.97)2 + √(64.13 × 9.05)] = (x)2
[((150 / 3) / 10)2 + √(64 × 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




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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




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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 = ?




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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) = ?




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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




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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 = ?




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Correct Ans:3870
Explanation:
Approximate value be calculated as
----> 9980 ÷ 49 * (4.9)2 -1130 = ?
----> 10000 ÷50 * 25 - 1130
----> 200 * 25 – 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 = ?




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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)




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Correct Ans:732736
Explanation:
√(?) + (14.04)2 * 18.234 ÷ 6.127 - 1029 = 83.001 * (12.084 – 7.05)
---> √(?) + (14)2 * 18 ÷ 6 - 1029 = 83 * (12 – 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




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Correct Ans:12
Explanation:
(37.12)2 + (43.88)2 = (?2 – √2600) * √1297
---> (37)2 + (44)2 ≅ (?2 – √2601) * √1296
----> (?2 – 51) * 36 ≅ (37)2 + (44)2
----> (?2 – 51) ≅ (1369 + 1936) / 36
---> (?2 – 51) ≅ (3305) / 36
---> (?2 – 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




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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)= ?




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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




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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
---> ? ≅ 1,109.42‬
---> ? ≅ 1,109
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38. Find the approximate value for the expression:
(∛42876 ÷ √48) + (152 - 20.95 * 10.05) - √625.04




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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)




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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




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