Simplifications Questions and Answers updated daily – Aptitude
Simplifications Questions: Solved 1211 Simplifications 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.
Simplifications Questions
1. Direction: What value should come in place of the question mark (?) in the following question?
15.4 * 13.5 * ? = 2598.75
15.4 * 13.5 * ? = 2598.75
SHOW ANSWER
Correct Ans:12.5
Explanation:
Explanation :
15.4 * 13.5 * ? = 2598.75
? = 2598.75/207.9 = 12.5
15.4 * 13.5 * ? = 2598.75
? = 2598.75/207.9 = 12.5
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2. Direction: What value should come in place of the question mark (?) in the following question?
5466.97 "“ 3245.01 + 1122.99 = ? + 2309.99
5466.97 "“ 3245.01 + 1122.99 = ? + 2309.99
SHOW ANSWER
Correct Ans:1034.96
Explanation:
Explanation :
5466.97 – 3245.01 + 1122.99 – 2309.99 = 1034.96
5466.97 – 3245.01 + 1122.99 – 2309.99 = 1034.96
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3. Direction: What value should come in place of the question mark (?) in the following question?
28.217 "“ 14.241 + 6.873 "“ 2.434 = ?
28.217 "“ 14.241 + 6.873 "“ 2.434 = ?
SHOW ANSWER
Correct Ans:18.415
Explanation:
Explanation :
= 28.217 – 14.241 + 6.873 – 2.434
= 35.090 – 16.675 = 18.415
= 28.217 – 14.241 + 6.873 – 2.434
= 35.090 – 16.675 = 18.415
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4. Direction: What value should come in place of the question mark (?) in the following question?
√7580 * √1325 ÷ √665 "“ √6395 = ?
√7580 * √1325 ÷ √665 "“ √6395 = ?
SHOW ANSWER
Correct Ans:41.8
Explanation:
Explanation :
√7580 = 87 ;
√1325 = 36;
√665 = 26 ;
√6395 = 80
87 *1.4 = 121.8 – 80 = 41.8
√7580 = 87 ;
√1325 = 36;
√665 = 26 ;
√6395 = 80
87 *1.4 = 121.8 – 80 = 41.8
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5. Direction: What value should come in place of the question mark (?) in the following question?
(1276/44) ÷ (23/805) * (1275/510) = ?
(1276/44) ÷ (23/805) * (1275/510) = ?
SHOW ANSWER
Correct Ans:2537.5
Explanation:
(1276/44) ÷ (23/805) * (1275/510) = ?
Explanation :
29 * 35 * 2.5 = 2537.5
Explanation :
29 * 35 * 2.5 = 2537.5
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6. Direction: What value should come in place of the question mark (?) in the following question?
77.55 ÷ 0.03 + 70.2 ÷ 0.9 "“ 506.25 ÷0.75 = ?
77.55 ÷ 0.03 + 70.2 ÷ 0.9 "“ 506.25 ÷0.75 = ?
SHOW ANSWER
Correct Ans:1988
Explanation:
Explanation :
7755/3 = 2585
702/9 = 78
506.25/0.75 = 675
2585+78 – 675 = 1988
7755/3 = 2585
702/9 = 78
506.25/0.75 = 675
2585+78 – 675 = 1988
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7. What should come at the place of question mark (?) in the following question?
410 * 64 ÷ 256 = 4 ? * 64
410 * 64 ÷ 256 = 4 ? * 64
SHOW ANSWER
Correct Ans:6
Explanation:
---> 410 * 43 ÷ 44 = 4? * 43
---> 410 * 43 ÷ (44 *43) = 4?
---> 410+3-4-3 = 4?
---> 46 = 4?
---> ? = 6
Hence option C is correct
---> 410 * 43 ÷ (44 *43) = 4?
---> 410+3-4-3 = 4?
---> 46 = 4?
---> ? = 6
Hence option C is correct
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8. What should come at the place of question mark (?) in the following question?
3(3/4) ÷ 2(1/2) * 4(1/2) + 1(3/4) = ?
3(3/4) ÷ 2(1/2) * 4(1/2) + 1(3/4) = ?
SHOW ANSWER
Correct Ans:8(1/2)
Explanation:
---> 3(3/4) ÷ 2(1/2) * 4(1/2) + 1(3/4) = ?
---> = (15/4) ÷(5/2) * (9/2) + (7/4)
---> = ((15 * 2)/(4 * 5)) * (9/2) + (7/4)
---> = (3/2) * (9/2) + (7/4)
---> = (27/4) +(7/4)
---> = (34/4)
---> = (17/2)
---> = 8(1/2)
---> = (15/4) ÷(5/2) * (9/2) + (7/4)
---> = ((15 * 2)/(4 * 5)) * (9/2) + (7/4)
---> = (3/2) * (9/2) + (7/4)
---> = (27/4) +(7/4)
---> = (34/4)
---> = (17/2)
---> = 8(1/2)
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9. What should come at the place of question mark (?) in the following question?
(27)3 ÷ (9)3 * 81 = (3)? – 7 ÷ (9)2
(27)3 ÷ (9)3 * 81 = (3)? – 7 ÷ (9)2
SHOW ANSWER
Correct Ans:18
Explanation:
---> (33)3 ÷ (32)3 * 34 = (3)? – 7 ÷ (32)2
---> (39) ÷ (36) * 34 = (3)? – 7 ÷ (34)
---> ? = 7+7+4 = 18
---> (39) ÷ (36) * 34 = (3)? – 7 ÷ (34)
---> ? = 7+7+4 = 18
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10. What should come at the place of question mark (?) in the following question
(1/18) * (2/9) +3(1/27) * 1.5 = ? ÷ 34
(1/18) * (2/9) +3(1/27) * 1.5 = ? ÷ 34
SHOW ANSWER
Correct Ans:370
Explanation:
---> (1/18) * (2/9) +3(1/27) * 1.5 = ? ÷ 34
---> (1/18) * (2/9) +(82/27) * (15/10) = ? ÷ 81
---> (1/81) +(82/27) * (3/2) = ? ÷ 81
---> (1/81) +(41/9) = ? ÷ 81
---> ((1+369)/81) = ? ÷ 81
---> ? = 370 * (81/81)
---> = 370
---> (1/18) * (2/9) +(82/27) * (15/10) = ? ÷ 81
---> (1/81) +(82/27) * (3/2) = ? ÷ 81
---> (1/81) +(41/9) = ? ÷ 81
---> ((1+369)/81) = ? ÷ 81
---> ? = 370 * (81/81)
---> = 370
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11. What should come at the place of question mark (?) in the following question?
1.2 * 0.9 ÷ (0.25 * 24) * 800 = ?
1.2 * 0.9 ÷ (0.25 * 24) * 800 = ?
SHOW ANSWER
Correct Ans:144
Explanation:
---> 1.2 * 0.9 ÷ (0.25 * 24) * 800 = ?
---> ? = 1.2 * 0.9 ÷ (0.25 * 24) * 800
---> ? = 12 * 9 ÷ (0.25 * 24) * 8
---> ? = 12 * 9 ÷ (6) * 8
---> ? = 144
---> ? = 1.2 * 0.9 ÷ (0.25 * 24) * 800
---> ? = 12 * 9 ÷ (0.25 * 24) * 8
---> ? = 12 * 9 ÷ (6) * 8
---> ? = 144
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12. What should come at the place of question mark (?) in the following question?
55% of 560 - 28 % of ? = 227.6
55% of 560 - 28 % of ? = 227.6
SHOW ANSWER
Correct Ans:287.14
Explanation:
--> 55% of 560 - 28 % of ? = 227.6
--> 55 % of 560 – 28% of ? = 308 – 28% of ? = 227.6
--> 28% of ? = 308 – 227.6 = 80.4
--> ? = 80.4 * (100/28)
--> = 287.14285
--> 55 % of 560 – 28% of ? = 308 – 28% of ? = 227.6
--> 28% of ? = 308 – 227.6 = 80.4
--> ? = 80.4 * (100/28)
--> = 287.14285
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13. What should come at the place of question mark (?) in the following question?
(414 ÷ 23 * 3 + 36)/(72 + (32 - 22)) = ?
(414 ÷ 23 * 3 + 36)/(72 + (32 - 22)) = ?
SHOW ANSWER
Correct Ans:1(2/3)
Explanation:
---> (414 ÷ 23 * 3 + 36)/(72 + (32 - 22)) = ?
---> = ((414 / 23) * 3 + 36)/(49 + (9 - 4))
---> = ((54 + 36)/54 )
---> = (90/54)
---> = 1(2/3)
---> = ((414 / 23) * 3 + 36)/(49 + (9 - 4))
---> = ((54 + 36)/54 )
---> = (90/54)
---> = 1(2/3)
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14. What should come at the place of question mark (?) in the following question?
87.398 "“ 51.756 + 69.734 = ? + 52.423
87.398 "“ 51.756 + 69.734 = ? + 52.423
SHOW ANSWER
Correct Ans:52.953
Explanation:
--> 87.398 – 51.756 + 69.734 = ? + 52.423
--> 87.398 – 51.756 + 69.734 – 52.423 = ?
--> ? = 52.953
--> 52.953
--> 87.398 – 51.756 + 69.734 – 52.423 = ?
--> ? = 52.953
--> 52.953
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15. What should come at the place of question mark (?) in the following question?
37% of 248 "“ 27% of 310 = ?
37% of 248 "“ 27% of 310 = ?
SHOW ANSWER
Correct Ans:8.06
Explanation:
---> 37% of 248 – 27% of 310 = ?
---> (37/100) * 248 - (27/100) * 310 = ?
---> = ((37 *248 - 27 * 310)/100)
---> = ((9176 – 8370 )/100)
---> = (806/100)
---> = 8.06
---> (37/100) * 248 - (27/100) * 310 = ?
---> = ((37 *248 - 27 * 310)/100)
---> = ((9176 – 8370 )/100)
---> = (806/100)
---> = 8.06
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16. What should come at the place of question mark (?) in the following question?
38% of 295 + 62% of 445 = ?
38% of 295 + 62% of 445 = ?
SHOW ANSWER
Correct Ans:388
Explanation:
---> 38% of 295 + 62% of 445 = ?
---> (38/100) * 295 + (62/100) * 445 = ?
---> ((59 * 9)/10) + ((31* 89)/100)
---> ((1121 + 2759)/10) = (3880/10)
---> = 388
---> (38/100) * 295 + (62/100) * 445 = ?
---> ((59 * 9)/10) + ((31* 89)/100)
---> ((1121 + 2759)/10) = (3880/10)
---> = 388
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What value should come in the place of question mark (?) in the following questions?
Refer the above for the Questions 17 to 16
Refer the above for the Questions 17 to 16
17. (0.4)3 * 400 ÷ 4000 of (0.4)2 = ?
SHOW ANSWER
Correct Ans:(1/25)
Explanation:
---> (0.4)3 * 400 ÷ 4000 of (0.4)2 = ?
---> Applying the BODMAS, we get
---> = (0.4)3 * 400 ÷ (4000 * 0.4 * 0.4)
---> = (0.4 * 0.4 * 0.4 * 400/4000 * 0.4 * 0.4)
---> = (4 * 4 * 4 * 400/4000 * 0.4 * 0.4)
---> = (4/100) = (2/50) = (1/25)
---> Applying the BODMAS, we get
---> = (0.4)3 * 400 ÷ (4000 * 0.4 * 0.4)
---> = (0.4 * 0.4 * 0.4 * 400/4000 * 0.4 * 0.4)
---> = (4 * 4 * 4 * 400/4000 * 0.4 * 0.4)
---> = (4/100) = (2/50) = (1/25)
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What value should come in the place of question mark (?) in the following questions?
Refer the above for the Questions 18 to 17
Refer the above for the Questions 18 to 17
18. 4(5/7) * 4(2/3) + ? = 35% of 158
SHOW ANSWER
Correct Ans:33.3
Explanation:
---> 4(5/7) * 4(2/3) + ? = 35% of 158
---> (33/7) * (14/3) + ? = (35/100) * 158
---> 22 + ? = 55.3
---> ? = 55.3 – 22 = 33.3
---> (33/7) * (14/3) + ? = (35/100) * 158
---> 22 + ? = 55.3
---> ? = 55.3 – 22 = 33.3
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What value should come in the place of question mark (?) in the following questions?
Refer the above for the Questions 19 to 18
Refer the above for the Questions 19 to 18
19. 5376 ÷ 24 × 13 "“ 703 = ?2
SHOW ANSWER
Correct Ans:47
Explanation:
---> ?2 = 5376 ÷ 24 * 13 – 703
---> ?2 = 224 * 13 – 703
---> ?2 = 2912 – 703 = 2209
---> ? = √2209 = 47
---> ?2 = 224 * 13 – 703
---> ?2 = 2912 – 703 = 2209
---> ? = √2209 = 47
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What value should come in the place of question mark (?) in the following questions?
Refer the above for the Questions 20 to 19
Refer the above for the Questions 20 to 19
20. (9 * 9)5 ÷ (729 ÷ 9)2 * (9 * 81)3 = (9)? + 5
SHOW ANSWER
Correct Ans:10
Explanation:
--> (92)5÷ (729/9)2 * (9 * 92)3 = (9)x + 5
--> 910 ÷ (81)2 * (93)3 = (9)x + 5
--> 910 ÷ 94 * 99 = (9)x + 5
--> 910 – 4 + 9 = 9x + 5
--> 915 = 9x + 5
--> 15 = x + 5
--> x = 10
--> 910 ÷ (81)2 * (93)3 = (9)x + 5
--> 910 ÷ 94 * 99 = (9)x + 5
--> 910 – 4 + 9 = 9x + 5
--> 915 = 9x + 5
--> 15 = x + 5
--> x = 10
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