Approximation Practice Questions

1) Question: 1399.99 ÷ 20.21 = ? + 425.5 - (310 ÷ 6 × 20.3)

a) 750
b) 520
c) 840
d) 680 

Answer: d)

Solution: 
1399.99 ÷ 20.21 = ? + 425.5 - (310 ÷ 6 × 20.3)
(1400/20) = x + 426 – (312/6) * 20
70 – 426 + 1040 = x
x = 684 = 680 

2) Question: (3374 ÷ 125.13)^1/3+ (362 ÷ 11) = ?² – 27.79

a) 13
b) 8
c) 16
d) 21

Answer: b)

Solution:
(3374 ÷ 125.13)^1/3 + (362 ÷ 11) = ?²– 27.79
(3375/125)^1/3 + (363/11) = x² - 28
(27)1/3 + 33 + 28 = x²
3 + 33 + 28 = x²
x²= 64
x = 8

3) Question: √(21609) ÷ 7.12 × 15.21 = ? - 16759 ÷ 9

a) 2850
b) 3435
c) 2180
d) 1965
e) 1350 

Answer: c)

Solution: 

√(21609) ÷ 7.12 × 15.21 = ? - 16759 ÷ 9
√(21609) ÷ 7 × 15 = x - 16758 ÷ 9
(147/7) * 15 = x – (16758/9)
315 + 1862 = x
x = 2177 = 2180 (approximately)

4) Question: 171.995 × 14.998 ÷ 25.045 + 10.998 × 11.006 = ?

a) 284
b) 264
c) 224
d) 274
e) 296

Answer: c)

Solution: 

171.995 × 14.998 ÷ 25.045 + 10.998 × 11.006 = x
(172 * 15) / 25 + (11 * 11) = x
103 + 121 = x
x = 224 

5) Question: (1782 ÷ 11.98) ÷ 2.92 × 35.89 + 25 % of 541 – 67 % of 1299 = ?

a) 1046
b) 1153
c) 982
d) 1268
e) 1375

Answer: a)

Solution:

(1782 ÷ 11.98) ÷ 2.92 × 35.89 + 25 % of 541 – 67
% of 1299 = ?
(1782/12) × (1/3) × 36 + (25/100) × 540 –
(67/100) × 1300 = x
1782 + 135 – 871 = x
x = 1046 

6) Question: 49.21 × 19.89 – 24.98 × 14.12 = (36 + ?) × 9

a) 22
b) 46
c) 58
d) 34
e) 70

Answer:  d)

Solution:

49.21 × 19.89 – 24.98 × 14.12 = (36 + ?) × 9
49 × 20 – 25 × 14 = (36 + x) × 9
980 – 350 = 324 + 9x
9x = 306
x = 34

7) Question: √1291 × 24.91 ÷ 15.11 = ? - (8.11)²
a) 138
b) 124
c) 152
d) 166
e) 110

Answer: b)

Solution:

√1291 × 24.91 ÷ 15.11 = ? - (8.11)2
√1296 × 25 ÷ 15 = x - 8
2
(36 * 25) / 15 = x – 64
60 + 64 = x
x = 124 

8) Question: 5 ¼ + 3 5/8 – 4 2/3 + 2 ½ = ? – 4 ¾
a) 20
b) 6
c) 24
d) 12
e) 30

Answer: d)

Solution: 
5 ¼ + 3 5/8 – 4 2/3 + 2 ½ + 4 ¾ = x
x = 5 + 4 – 5 + 3 + 5 = 12 

9) Question: 9.999 + 99.999 + 999.9998 + 9999.9997 = ?
a) 11110
b) 11000
c) 12100
d) 11500
e) 15110

Answer: a)

Solution:

9.999 + 99.999 + 999.9998 + 9999.9997 = x
10 + 100 + 1000 + 10000 = x
x  = 11110 

10) Question: 15 11/12 % of 298 + (3/11) of 51644 + (14.21)² = ?

a) 15120
b) 18560
c) 11440
d) 12750
e) 14330

Answer: e)

Solution: 
15 11/12 % of 298 + (3/11) of 51644 + (14.21)² = ?
16 % of 300 + (3/11) * 51645 + 14²= x
48 + 14085 + 196 = x
x = 14329 = 14330 

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