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

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Directions:(1-10): What approximate value will come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value.)

1. (18.06)2 + (31.07)2 – (33.96)2 = ?

Ans: 1
? ≈ 182 + 312 – 342
= 324 + 961 – 1156

= 129

 

2. (23.06)2 – 9.06 = ? x 10.06

Ans: 1
? = (232 – 9)/10
= (529 – 9)/10
= 520/10 = 52

 

3. (?)2 + 4.973 = 38.962 – 29.07

Ans: 2
(?)2 ≈ 392 – 29 – 53
= 1521 – 29 – 125 = 1367

So, ? ≈ 37

 

4. 35.07 x 20.93 – 15.07 = ? x 29.95

Ans: 2
? = (35 x 21 – 15)/30
= (735 – 15)/30
= 720/30 = 24

 

5. 4654.99 ÷ 94.98 x 29.97 = ? + 10.06

Ans: 4
? = 4655 ÷ 95 x 30 – 10
= 49 x 30 – 10
= 1470 – 10 = 1460

 

6. 49.92% of 1759.87 + √168.86 = 833.12 + ?

Ans: 4
? ≈ (50 x 1760/100) + √169 – 833
= 880 + 13 – 833
= 60

 

7. 50.12% of (?)2 = 17.04 + 30.04 ÷ 2.11

Ans: 2
50% of (?)2 = 17 + 30/2 = 17 + 15 = 32
?2 = 32 x 100/50 = 64
? = 8

 

8. 1598 ÷ 63.96 x 21.01 = ? + 25.03 x 13.04

Ans: 3
1600 ÷ 64 x 21 = ? + 25 x 13
=> 25 x 21 = ? + 325
=> ? = 525 – 325 = 200

 

9. (13.03)2 + (9.96)2 + (21.01)2 + (16.03)2 = ?

Ans: 3
? ≈ 132 + 102 + 212 + 162
= 169+100+441+256 = 966 ≈ 965

 

10. 24.04 x 16.03 + (17.01)2 = ? x 20.04

Ans: 4
24 x 16 + 172 = ? x 20
=> 384 + 289 = ? x 20
=> 673 = ? x 20
=> ? = 673/20 = 33.65 ≈ 34