Simplifications: Solved 1054 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. What should come in place of question mark (?) in the following question?
164.2 * 2562.1 * 142 * 1963.2 = ?




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Correct Ans:(224)8.4
Explanation:
164.2 * 2562.1 * 142 * 1963.2 = ?
Let x be the value to be found,
x = 164.2 * 162*2.1 * 142 * 142*3.2
x = 164.2+4.2 * 142*2+6.4
x = 168.4 * 148.4
x = (16*14)8.4
x = 2248.4


2. What should come in place of question mark (?) in the following question?
(531441)1/4 / 9 * (√4096)/8 + (√6561)/9 - 16 = ?




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Correct Ans:65
Explanation:
(531441)1/4 / 9 * (√4096)/8 + (√6561)/9 - 16 = ?
Let x be the value to be found,
x= 81 / 9* 64/8 + 81/9 -16
=9*8 + 9 -16
x=65


3. What should come in place of question mark (?) in the following question?
√294 + √726 + √1176 + √486 – √600 = ?




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Correct Ans:31√6
Explanation:
√294 + √726 + √1176 + √486 – √600 = ?
Assuming the value to be found as X,then
X = √6 × 49 + √6 × 121 + √6 × 196 + √6 × 81 – √6 × 100
X = 7√6 + 11√6 +14√6 + 9√6 – 10√6
Taking √6 as common,
X = √6 (7 + 11 + 14 + 9 – 10)
X = 31√6


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4. What should come in place of question mark (?) in the following question?
27 13/30 + 23 14/25 + 28 12/15 - 17 21/45 + 0.85 - 0.37 = ? 




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Correct Ans:62 121/150
Explanation:
? = 27 13/30 + 23 14/25 + 28 12/15 - 17 21/45 + 0.85 - 0.37
x = (27+23+28-17)+( 13/30 + 14/25 + 12/15 - 21/45) + 0.48
x = 61 +( 195+252+360-210 / 450) + 48/100
x = 61 + 597/450 + 48/100
x = 61 + 1626/900
x = 56526/900 (or) (61+1) (726/900)
x = 62 121/150


5. What should come in place of question mark (?) in the following question?
(474552)1/3 - (6084)1/2 + 68 - 7.8 = ?




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Correct Ans:60.2
Explanation:
?=(474552)1/3 - (6084)1/2 + 68 - 7.8 = ?
(783)1/3 - (782)1/2 + 68 - 7.8
78 - 78 + 68 - 7.8 = 60.2
Hence, option B is correct.


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6. What will come in place of question mark?

1344 ÷ 14 ÷ 4 × 34 - 35% of 540 - 45% of 1320 = ?




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Correct Ans:33
Explanation:
Given Expression is:
1344 ÷ 14 ÷ 4 x 34 - 35% of 540 - 45% of 1320 = ?
---> 96 ÷ 4 x 34 - (35/100) * 540 - (45/100) * 1320
---> 24 x 34 - 189 - 594
---> 816 - 783
---> 33


7. What will come in place of question mark?

26 x 19 + 23 - 52% of 1350 = ?




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Correct Ans:321
Explanation:
Given Expression is:
26 x 19 + 23 - 52% of 1350
---> 494 + 529 - (52/100) * 1350
---> 1023 - 702
---> 321


8. What will come in place of question mark (?) in the following question:
(11.275 + 101.237 + 13.5) / 64 – (17.657 + 18.976) / 22 = ?2 + 8.379 / 4




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Correct Ans:4.5
Explanation:
(11.275 + 101.237 + 13.5) / 64 – (17.657 + 18.976) / 22 = ?2 + 8.379 / 4
(126.012) / 4 – (36.633) / 4 = ?2 + 8.379 / 4
(126.012) ÷ 4 – (36.633) / 4 – (8.379) / 4 = ?2
(126.012 - 45.012) / 4 = ?2
?2 = 81 / 4
? = 9/2 = 4.5


9. What will come in place of question mark (?) in the following question:
?2 – 18.75 – 11.25 = 9.09% of 396 + 295




SHOW ANSWER
Correct Ans:19
Explanation:
?2– 18.75 – 11.25 = 9.09% of 396 + 295
?2 – 30 = 396 ÷ 11 + 295
?2 = 36 + 295 + 30
?2 = 361
? = 19


10. Simplify the following:
√13225 + 3√205379 + 52% of 700 = 408 + X




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Correct Ans:130
Explanation:
√13225 + 3√205379 + 52% of 700 = 408 + X
115 + 59 + (52/100) x 700 - 408 = X
115 + 59 + 364 - 408 = X
X = 130


11. Simplify the following:
32450 / 11 + (4/9) of 11520 + 48% of 7500 = ?2 - 430




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Correct Ans:110
Explanation:
(32450/11) + (4/9) x 11520 + (48/100) x 7500 = X2 x -430
2950 + 5120 + 3600 + 430 = X2
X2 = 12100
X = 110


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12. What will come in place of question mark (?) in the following simplification problem?

(1/11) x 1639 + (3/7) x 5362 + 400% of 1 = ? + 2241




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Correct Ans:210
Explanation:
Given expression is: (1/11) x 1639 + (3/7) x 5362 + 400% of 1 = ? + 2241
---> 149 + 3 x 766 + (400/100) x 1 - 2241 = ?
---> 149 + 2298 + 4 - 2241 = ?
---> 2451 - 2241 = ?
---> ? = 210


13. ∜62,50,000 - ∛3375 = √?




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Correct Ans:1,225
Explanation:
Given expression is: ∜62,50,000 - ∛3375 = √?
---> ∜(50)4 - 15 = √?
----> 50 - 15 = √?
---> 35 = √?
----> ? = (35)2
----> ? = 1,225


14. √[52 x 14 - 6 x 7 + (4)?] = 18 




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Correct Ans:2
Explanation:
√[52 x 14 - 6 x 7 + (4)?] = 18
---> [25 x 14 - 6 x 7 + (4)?] = 182
---> 350 - 42 + (4)? = 324
---> 308 + (4)? = 324
---> (4)? = 324 - 308
---> (4)? = 16
---> (4)? = 42
Equating powers, we get
---> ? = 2
Hence, the answer is 2.


15. [(?)11/7/50] = [20/(?)10/7]




SHOW ANSWER
Correct Ans:10
Explanation:
[(x)11/7/50] = [20/(x)10/7]
[(x)11/7 * (x)10/7] = 20*50
(x)(11/7 + 10/7) = 1000
(x)21/7 = 1000
(x)3 = 103
x = 10


16. 1/[2 + (1/(4 +(1/(5 - 1/3))))] = ?




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Correct Ans:59/132
Explanation:
1/[2 + (1/(4 +(1/(5 - 1/3))))] = x
1/[2 + (1/(4 +(1/(14/3))))] = x
1/[2 + (1/(4 +3/14))] = x
1/[2 + (1/(59/14))] = x
1/[2 + 14/59] = x
1/[132/59] = x
x = 59/132


17. 23 * 2 (45-15)+168 / 4 / 2 - (11)2 = ?




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Correct Ans:1280
Explanation:
Follow BODMAS Rule,
x = 23 x2 (45- 15)+168 / 4 / 2 - (11)2
x= 23 x 2 (30) + 168/(4x2) - (11)2
x= 23 * 60 + 21 -121
x= 1380 + 21 -121
x= 1280


18. (7 * 7)3 / (49 * 7)3 * (2401)2 = 7?




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Correct Ans:5
Explanation:
(7 * 7)3 / (49 * 7)3 * (2401)2 = 7x
76 / 79 * 78 = 7x
7(6 - 9 + 8) = 7x
75 = 7x
x = 5


19. 185% of 600 + 25% of 240 = ?% of 1000 




SHOW ANSWER
Correct Ans:117
Explanation:
185% of 600 + 25% of 240 = x% of 1000
(185*6) + (1/4)*240 = (x/100) * 1000
1110 + 60 = 10x
x = 1170/10
x = 117


20. (78125)1.3 * (15625)1.25 ÷ (125)2 = 5?




SHOW ANSWER
Correct Ans:10.6
Explanation:
(78125)1.3 * (15625)1.25 ÷ (125)2 = 5x
(5)7*1.3 * (5)6*1.25 ÷ (5)3*2 = 5x
5(9.1+7.5-6) = 5x
x = 10.6





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