# 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

1. Direction: What approximate value should come in place of question mark.

2222.1 * 11 + 3333.1 * 11.01 + 4444 * 11 + 5555 * 11 "“ 6666.1 * 11 = ?

Correct Ans:97768
Explanation:
2222.1 * 11 + 3333.1 * 11.01 + 4444 * 11 + 5555 * 11 â€“ 6666.1 * 11 = ?

----> ? ≅ 2222 * 11 + 3333 * 11 + 4444 * 11 + 5555 * 11 â€“ 6666 * 11

----> = 11[2222 + 3333 + 4444 + 5555 â€“ 6666]

----> = 11[2222 + 3333 + 4444 + 5555 â€“ 6666]

----> = 11 * 8888 = 97768

Hence, option C is correct.
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2. Direction: What approximate value should come in place of question mark.

470.005 * 99.92 + 337.89 + 472.05 "“ 137.88 * 0.98 = ?

Correct Ans:47672
Explanation:
470.005 * 99.92 + 337.89 + 472.05 â€“ 137.88 * 0.98 = ?

----> ? ≅ 470 * 100 + 338 + 472 â€“ 138 * 1

----> ? ≅ 47000 + 810 â€“ 138

----> ? ≅ 47672

Hence, option B is correct.
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3. Direction: What approximate value should come in place of question mark.

(2356.237 * 4.9) "“ 1357.895 + 1124.237 "“ 425.231 + (35 * 1.23) = ?

Correct Ans:11156
Explanation:
(2356.237 * 4.9) â€“ 1357.895 + 1124.237 â€“ 425.231 + (35 * 1.23) = ?

----> ? = (2356 * 5) â€“ 1358 + 1124 â€“ 425 + (35 * 1)

----> ? = 11780 â€“ 1358 + 1124 â€“ 425 + 35

----> ? = 11780 â€“ 624 = 11156

Hence, option C is correct.
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4. Direction: What approximate value should come in place of question mark.

0.003 * 0.9 * 0.005 * 0.2 + 0.008 * 0.5 + 25.85 "“ 23.05 = ?

Correct Ans:3
Explanation:
0.003 * 0.9 * 0.005 * 0.2 + 0.008 * 0.5 + 25.85 â€“ 23.05 = ?

----> ? = 0.0027 * 0.0001 + 0.0004 + 25.85 â€“ 23.05

----> = 0.0000027 + 0.004 + 2.8

----> = 2.8040027 ≅ 3

Hence, option C is correct.
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5. Direction: What approximate value should come in place of question mark.

√8837 * 20 * 4.25 + √5040 * 10 * 8.75 "“ √4489 * 5 * 1.25 = ?

Correct Ans:13575
Explanation:
----> √8837 * 20 * 4.25 + √5040 * 10 * 8.75 â€“ √4489 * 5 * 1.25 = ?

----> ? ≅ √8836 * 20 * 4 + √5041 * 10 * 9 â€“ √4489 * 5 * 1

----> = 94 * 80 + 71 * 90 â€“ 67 * 5

----> = 7520 + 6390 â€“ 335

----> = 13575

Hence, option A is correct.
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6. Direction: What approximate value should come in place of question mark.

âˆ›2744.03 – √840 + 11.07 = ? ÷ âˆ›8 .02

Correct Ans:- 8
Explanation:

âˆ›2744.03 – √840 + 11.07 = ? ÷ âˆ›8 .02

Approximate value:

âˆ›2744 – √841 + 11.07 = ? ÷ 8

14 – 29 +11 = ? ÷ 2

25 – 29 = ? ÷ 2

–4 * 2 = ?

? = – 8

Hence, option B is correct.
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7. Direction: What approximate value should come in place of question mark.

912.898 "“ 27.001 * ? "“ 288.878 = 219.003

Correct Ans:15
Explanation:
912.898 â€“ 27.001 * ? â€“ 288.878 = 219.003

----> ≅ 913 â€“ 27 * ? â€“ 289 = 219

----> = 913 â€“ 27 * ? â€“ 289 = 219

----> 624 â€“ 27 * ? = 219

----> 27 * ? = 405

----> ? = 15

Hence, option C is correct.

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8. Direction: What approximate value should come in place of question mark.

∛(14.98 % of 750 "“ 34 * 4.03 = ?(1/3)) "“ 33

Correct Ans:1000
Explanation:
∛(14.98 % of 750 â€“ 34 * 4.03 = ?(1/3)) â€“ 33

-----> ∛(15 % of 750 â€“ 34 * 4 = ?(1/3)) â€“ 33

-----> 112.5 â€“ 34 * 4 + 33 = ?(1/3)

-----> 113 â€“ 136 + 33 = ?(1/3)

-----> ?(1/3) = 10

-----> ? = 1000

Hence, option D is correct.
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9. Direction: What approximate value should come in place of question mark.

( √14.03 + √27.99)2 + 141.07 "“ 2 √392 = ?2 "“ 106

Correct Ans:17
Explanation:
( √14.03 + √27.99)2 + 141.07 â€“ 2 √392 = ?2 â€“106

-----> (√14 + √28)2 + 141 â€“ 2 √392 = ?2 â€“ 106

-----> or, (√14)2 + (√28)2 + 2 *√( 14 * 28) + 141 â€“ 2 √392 = ?2 â€“ 106

-----> or, 14 + 28 + 2 √392 + 141 - 2 √392 = ?

-----> or, 14 + 28 + 141 = ?2 - 106

-----> or, 183 = ?2 â€“ 106

-----> or, ?2 = 183 + 106

-----> or, ?2 = 289

-----> ? = 17

Hence, option C is correct.
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10. Direction: What approximate value should come in place of question mark.

840.95(1/2) + 17.49 * 28 "“ 4096(1/3) = ?

Correct Ans:503
Explanation:
840.95(1/2) + 17.49 * 28 â€“ 4096(1/3) = ?

841(1/2) + 17.5 * 28 â€“ 16 = ?

29 + 490 â€“ 16 = ?

? = 519 â€“ 16

? = 503

Hence, option E is correct.
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11. Direction: What approximate value should come in place of question mark.

30.01% of 560.32 + 35% of 579.89 = ?% of 1708.08

Correct Ans:22
Explanation:
30.01% of 560.32 + 35% of 579.89 = ?% of 1708.08

(?/100) * 1708.08 = 30.01% of 560.32 + 35% of 579.89
(?/100) * 1708 ≅ (( 30 * 560)/100) + (35/100) * 580
? * 17.08 = 168 + 203 = 371

? = (371/17) = 21.8 â‰ˆ 22

Hence, option B is correct.
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12. Direction: What approximate value should come in place of question mark.

5810.12 ÷ 13.956 ÷ ? = 46

Correct Ans:9
Explanation:
5810.12 ÷ 13.956 ÷ ? = 46

----> (5810/14) ÷ ? ≅ 46
----> ? ≅ (415/46 ) ≅ 9

Hence, option A is correct.
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13. Direction: What approximate value should come in place of question mark.

(2/7) of 1547 * 5.993 = 25% of ?

Correct Ans:10600
Explanation:
(2/7) of 1547 * 5.993 = 25% of ?

----> (2/7) of 1547 * 5.993 = 25% of ?
----> (1/4) * ? = (2/7) * 1547 * 6
----> ? = 4 * (2/7) * 1547 * 6
----> ? = (8/7) * 1547 * 6
----> ? = 8 * 221 * 6 = 221 * 48

----> ? = 10608 ≅ 10600

Hence, option C is correct.
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14. Direction: What approximate value should come in place of question mark.

(63425.001 "“ 43267.003 "“ 12417.99 "“ 7649.96) * √6401 = ?

Correct Ans:7200
Explanation:
(63425.001 â€“ 43267.003 â€“ 12417.99 â€“ 7649.96) * √6401 = ?

----> ? = (63425 â€“ 43267 â€“ 12418 â€“ 7650) * √6400

----> ? = (63425 â€“ 63335) * 80

----> ? = 90 * 80

----> ? = 7200

Hence, option A is correct.
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15. Direction: What approximate value should come in place of question mark.

√5040 "“ √4625 = ? "“ ∛2198 + ∛1330

Correct Ans:5
Explanation:
-----> √5040 â€“ √4625 = ? â€“ ∛2198 + ∛1330

-----> ? = √5040 â€“ √4625 + ∛2198 - ∛1330
-----> ? = 71 â€“ 68 + 13 â€“ 11

-----> ? = 84 â€“ 79 = 5

Hence, option A is correct.
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16. What approximate value should come in place of question mark?
2831.994 ÷ 23.998 + 11.992 ÷ 5.991 = ?2

Correct Ans:12
Explanation:
2831.994 ÷ 23.998 + 11.992 ÷ 5.991 = ?2
---> 2832/24 + 122/6 = ?2
---> 118 + 144/6 = ?2
---> 118 + 24 = ?2
---> 142 = ?2
---> √142 = ?
----> ? ≅ √144
---> ? ≅ 12
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17. What approximate value should come in place of question mark?

(âˆš362 + 161.147) Ã· 5% of 2395 = ?

Correct Ans:1.5
Explanation:
âˆš362 â‰… âˆš361 = 19
5% of 2400 â‰… 2395 = 120
now
(âˆš362 + 161.147) Ã· 5% of 2395 = x
(âˆš361 + 161) Ã· (5/100 * 2400) = x
x = (19 + 161)/120
x = 180/120
x = 1.5
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18. What approximate value should come in place of question mark?

105.1% of 8401.01 - 3/7% of 5600.12 + 9.999 = ?

Correct Ans:8806
Explanation:
105.1% of 8401.01 - 3/7% of 5600.12 + 9.999 = ?
105% of 8400 - 3/7% of 5600 + 10 = ?
(105/100)*8400 - (3/700)*5600 + 10 = ?
8820 - 24 + 10 = ?
? = 8806.
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19. What approximate value should come in place of question mark? (Note: You are not expected to calculate the exact value.)
78.99% of 9875.99 - 38.09% of 6785.05 = 2479.05 + ?% of 4895.99

Correct Ans:56%
Explanation:
Given Expression:
78.99% of 9875.99 - 38.09% of 6785.05 = 2479.05 + ?% of 4895.99
---> 79% of 9876 - 38% of 6785 = 2479 + ?% of 4896
---> (79/100) * 9876 - (38/100) * 6785 - 2479 = (? * 4896)/100
---> 0.79 * 9876 - 0.38 * 6785 - 2479 = (? * 4896)/100
---> 7802 - 2578 - 2479 = (? * 4896)/100
---> 2745 = (? * 4896)/100
---> ? = (2745/4896) * 100
---> ? = 56.06%
---> ? ≅ 56%
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20. What approximate value should come in place of question mark?
110.92 Ã· 36.66 + âˆš6560 * (9)-1 + 324 * (9)-2 = 22+?

Correct Ans:2
Explanation:
110.92 Ã· 36.66 + âˆš6560 * (9)-1 + 324 * (9)-2 = 22+x
111/37 + âˆš6561 * (9)-1 + 324 * (9)-2 = 22+x
3 + 81/9 + 324/81 = 22+x
12 + 4 = 22+x
22+x = 16
22+x = 24
2 + x = 4
x = 4 - 2 = 2
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