# Unlock 600 Important Simplification Questions & Approximation Questions [100% Free]

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Directions:(1-5) What value will come in place of question mark (?) in the following questions?

1. (?)2 + 28 = 352 + 222

Ans: 3
(?)2 = 352 + 222 – 28
= 1225 + 484 – 28
= 1681
? = 41

2. 57.14% of 175 + 16.66% of 210 + 37.5% of 64 = ?

Ans: 2
We note that 57.14% = 4/7, 16.66% = 1/6, 37.5% = 3/8
So, ? = 175 x (4/7) + 210 x (1/6) + 64 x (3/8)
= (7 x 25) x (4/7) + (6 x 35) x (1/6) + (8 x 8) x (3/8)
= (4 x 25) + (1 x 35) + (3 x 8) = 159

3. 29/19  of 65% of 2698 = ? x 710

Ans: 2
29/19) x (65/100) x 2698 = ? x 710
(29/19) x (13 x 5/100) x (19 x 142) = ? x 5 x 142
? = (29 x 13 x 5 x 142)/(5 x 142 x 100)
? = (29 x 13)/100 = 3.77

4. 77 x 38 – 35 x 26 = (?)2 x 4 + 860

Ans: 5
(?)2 x 4 = 77 x 38 – 35 x 26 – 860
(?)2 x 4 = 2926 – 910 – 860 = 1156
(?)2 = 289
? = 17

5. (92 x 29 + 73 x 5 + ?)½ = 71

Ans: 5
Squaring both sides:
92 x 29 + 73 x 5 + ? = 712 = 5041
? = 5041 – 92 x 29 – 73 x 5
? = 5041 – 2349 – 1715 = 977

6. (0.25)102 ÷ 0.12570 x 0.2542 x 0.2519 = (0.25)?

Ans: 2
(0.52)102 ÷ (0.53)70 x (0.52)42 x (0.52)19 = (0.52)?
(0.5)(2×102 – 3×70 + 2×42 + 2×19) = (0.52)?
So, ? = (2×102 – 3×70 + 2×42 + 2×19)/2 = 58

7. 20% of √28224 + 80% of 232 = ? + 176

Ans: 1
(20 x 168 + 80 + 529)/100 = ? + 176
? = 45680/100 – 176 = 280.8

8. 1504 ÷ ? + 64 x 1.75 = 132 – 25

Ans: 2
1504 ÷ ? + 112 = 169 – 25 = 144
=> 1504 ÷ ? = 32
=> ? = 1504/32 = 47

9. ?% of 625 + 17% of 900 + 13 x 19 = 750

Ans: 4
?% x 625 + 17 x 9 + 13 x 19 = 750
=> ?% x 625 + 153 + 247 = 750
=> ?% x 625 = 350
=> ? = 350/625 x 100 = 56

10. √5329 + √841 = 92 + ?

Ans: 1
73 + 29 = 81+?
? = 21