MCQs on Simplifications & Approximations

[Set - 2]

1. Calculate (36+12)6×7 \frac{(36 + 12)}{6} \times 7

A) 54
B) 56
C) 58
D) 60

Correct Answer: B) 56
Explanation:
First, calculate inside the parentheses:
36+12=48 36 + 12 = 48
Then, divide:
48÷6=8 48 \div 6 = 8
Now, multiply:
8×7=56 8 \times 7 = 56

2. Approximate 1234.5+456.2278.4+156.8 1234.5 + 456.2 - 278.4 + 156.8

A) 1569.1
B) 1569.2
C) 1569.3
D) 1569.4

Correct Answer: A) 1569.1
Explanation:
First, add and subtract in sequence:
1234.5+456.2=1690.7 1234.5 + 456.2 = 1690.7
1690.7278.4=1412.3 1690.7 – 278.4 = 1412.3
1412.3+156.8=1569.1 1412.3 + 156.8 = 1569.1

3. Solve 8372+52 8^3 - 7^2 + 5^2

A) 488
B) 486
C) 484
D) 492

Correct Answer: A) 488
Explanation:
First, calculate the exponents:
83=512 8^3 = 512
72=49 7^2 = 49
52=25 5^2 = 25
Now, perform the subtraction and addition:
51249+25=488 512 – 49 + 25 = 488

4. Estimate the result for 445.1+228.9115.4+310.7 445.1 + 228.9 - 115.4 + 310.7

A) 869.0
B) 869.1
C) 869.2
D) 869.3

Correct Answer: D) 869.3
Explanation:
First, add and subtract in sequence:
445.1+228.9=674.0 445.1 + 228.9 = 674.0
674.0115.4=558.6 674.0 – 115.4 = 558.6
558.6+310.7=869.3 558.6 + 310.7 = 869.3

5. Simplify 9×(4+6)33 9 \times (4 + 6) - 3^3

A) 60
B) 61
C) 62
D) 63

Correct Answer: D) 63
Explanation:
First, calculate inside the parentheses:
4+6=10 4 + 6 = 10
Then, multiply:
9×10=90 9 \times 10 = 90
Then, calculate the exponent:
33=27 3^3 = 27
Now, subtract:
9027=63 90 – 27 = 63

6. Approximate 158.9+432.7189.5+257.8 158.9 + 432.7 - 189.5 + 257.8

A) 659.5
B) 659.6
C) 659.9
D) 649.9

Correct Answer: C) 659.9
Explanation:
First, add and subtract in sequence:
158.9+432.7=591.6 158.9 + 432.7 = 591.6
591.6189.5=402.1 591.6 – 189.5 = 402.1
402.1+257.8=659.9 402.1 + 257.8 = 659.9

7. Simplify 7352+82 7^3 - 5^2 + 8^2

A) 380
B) 382
C) 384
D) 386

Correct Answer: B) 382
Explanation:
First, calculate the exponents:
73=343 7^3 = 343
52=25 5^2 = 25
82=64 8^2 = 64
Now, perform the subtraction and addition:
34325+64=382 343 – 25 + 64 = 382

8. Find the approximate value of 345.8+267.9189.3+412.5 345.8 + 267.9 - 189.3 + 412.5

A) 836.5
B) 836.6
C) 836.7
D) 836.9

Correct Answer: D) 836.9
Explanation:
First, add and subtract in sequence:
345.8+267.9=613.7 345.8 + 267.9 = 613.7
613.7189.3=424.4 613.7 – 189.3 = 424.4
424.4+412.5=836.9 424.4 + 412.5 = 836.9

9. Solve 12×(5+7)62 12 \times (5 + 7) - 6^2

A) 106
B) 108
C) 110
D) 112

Correct Answer: B) 108
Explanation:
First, calculate inside the parentheses:
5+7=12 5 + 7 = 12
Then, multiply:
12×12=144 12 \times 12 = 144
Then, calculate the exponent:
62=36 6^2 = 36
Now, subtract:
14436=108 144 – 36 = 108

10. Approximate 578.3+198.4124.8+357.2 578.3 + 198.4 - 124.8 + 357.2

A) 1008.9
B) 1009.0
C) 1009.1
D) 1009.2

Correct Answer: C) 1009.1
Explanation:
First, add and subtract in sequence:
578.3+198.4=776.7 578.3 + 198.4 = 776.7
776.7124.8=651.9 776.7 – 124.8 = 651.9
651.9+357.2=1009.1 651.9 + 357.2 = 1009.1

11. Simplify (48+36)12×8 \frac{(48 + 36)}{12} \times 8

A) 55
B) 56
C) 57
D) 58

Correct Answer: B) 56
Explanation:
First, calculate inside the parentheses:
48+36=84 48 + 36 = 84
Then, divide:
8412=7 \frac{84}{12} = 7
Now, multiply:
7×8=56 7 \times 8 = 56

12. Approximate 923.6+284.5126.4+479.3 923.6 + 284.5 - 126.4 + 479.3

A) 1561.0
B) 1562.0
C) 1563.0
D) 1561.5

Correct Answer: A) 1561.0
Explanation:
First, add and subtract in sequence:
923.6+284.5=1208.1 923.6 + 284.5 = 1208.1
1208.1126.4=1081.7 1208.1 – 126.4 = 1081.7
1081.7+479.3=1561.0 1081.7 + 479.3 = 1561.0

13. Simplify 9×7+5233 9 \times 7 + 5^2 - 3^3

A) 61
B) 62
C) 63
D) 64

Correct Answer: A) 61
Explanation:
First, multiply:
9×7=63 9 \times 7 = 63
Then, calculate the exponents:
52=25 5^2 = 25
33=27 3^3 = 27
Now, add and subtract:
63+2527=61 63 + 25 – 27 = 61

14. Estimate 1496.4+832.5428.7+213.6 1496.4 + 832.5 - 428.7 + 213.6

A) 2113.6
B) 2113.7
C) 2113.8
D) 2113.9

Correct Answer: C) 2113.8
Explanation:
First, add and subtract in sequence:
1496.4+832.5=2328.9 1496.4 + 832.5 = 2328.9
2328.9428.7=1900.2 2328.9 – 428.7 = 1900.2
1900.2+213.6=2113.8 1900.2 + 213.6 = 2113.8

15. Solve 5×(13+7)23 5 \times (13 + 7) - 2^3

A) 92
B) 93
C) 94
D) 95

Correct Answer: A) 92
Explanation:
First, calculate inside the parentheses:
13+7=20 13 + 7 = 20
Then, multiply:
5×20=100 5 \times 20 = 100
Then, calculate the exponent:
23=8 2^3 = 8
Now, subtract:
1008=92 100 – 8 = 92

16. 672.9+154.6132.5+209.8= 672.9 + 154.6 - 132.5 + 209.8 =

A) 904.5
B) 904.6
C) 904.7
D) 904.8

Correct Answer: D) 904.8
Explanation:
First, add and subtract in sequence:
672.9+154.6=827.5 672.9 + 154.6 = 827.5
827.5132.5=695.0 827.5 – 132.5 = 695.0
695.0+209.8=904.8 695.0 + 209.8 = 904.8

17. Simplify 1123×4+72 11^2 - 3 \times 4 + 7^2

A) 158
B) 148
C) 138
D) 168

Correct Answer: A) 158
Explanation:
First, calculate the exponents:
112=121 11^2 = 121
72=49 7^2 = 49
Then, multiply:
3×4=12 3 \times 4 = 12
Now, perform the addition and subtraction:
12112+49=158 121 – 12 + 49 = 158

18. Approximate 231.9+126.474.5+412.3 231.9 + 126.4 - 74.5 + 412.3

A) 696.0
B) 696.1
C) 696.2
D) 696.3

Correct Answer: B) 696.1
Explanation:
First, add and subtract in sequence:
231.9+126.4=358.3 231.9 + 126.4 = 358.3
358.374.5=283.8 358.3 – 74.5 = 283.8
283.8+412.3=696.1 283.8 + 412.3 = 696.1

19. Solve (16+24)8×9 \frac{(16 + 24)}{8} \times 9

A) 45
B) 46
C) 47
D) 48

Correct Answer: A) 45
Explanation:
First, calculate inside the parentheses:
16+24=40 16 + 24 = 40
Then, divide:
40÷8=5 40 \div 8 = 5
Now, multiply:
5×9=45 5 \times 9 = 45

20. Estimate 568.4+123.789.6+298.1 568.4 + 123.7 - 89.6 + 298.1

A) 900.4
B) 900.5
C) 900.6
D) 900.7

Correct Answer: C) 900.6
Explanation:
First, add and subtract in sequence:
568.4+123.7=692.1 568.4 + 123.7 = 692.1
692.189.6=602.5 692.1 – 89.6 = 602.5
602.5+298.1=900.6 602.5 + 298.1 = 900.6

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