Simplifications Questions: Solved 1211 Simplifications Questions and answers section with explanation for various online exam preparation, various interviews, Logical Reasoning 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
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
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
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
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
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
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
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)
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
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
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
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
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)
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
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
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
What value should come in the place of question mark (?) in the following questions?
Refer the above for the Questions 17 to 20
Refer the above for the Questions 17 to 20
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)
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
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
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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