MCQs on Simplifications & Approximations

[Set - 2]

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

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

Show Answer

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

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

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

Show Answer

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

3. Solve $8^3 - 7^2 + 5^2$

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

Show Answer

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

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

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

Show Answer

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

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

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

Show Answer

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

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

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

Show Answer

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

7. Simplify $7^3 - 5^2 + 8^2$

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

Show Answer

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

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

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

Show Answer

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

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

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

Show Answer

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

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

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

Show Answer

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

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

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

Show Answer

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

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

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

Show Answer

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

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

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

Show Answer

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

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

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

Show Answer

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

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

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

Show Answer

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

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

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

Show Answer

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

17. Simplify $11^2 - 3 \times 4 + 7^2$

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

Show Answer

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

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

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

Show Answer

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

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

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

Show Answer

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

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

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

Show Answer

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

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MCQs on Simplifications & Approximations

[Set - 2]

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

2. Approximate 1234.5 + 456.2 - 278.4 + 156.8

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

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

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

6. Approximate 158.9 + 432.7 - 189.5 + 257.8

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

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

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

10. Approximate 578.3 + 198.4 - 124.8 + 357.2

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

12. Approximate 923.6 + 284.5 - 126.4 + 479.3

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

14. Estimate 1496.4 + 832.5 - 428.7 + 213.6

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

16. 672.9 + 154.6 - 132.5 + 209.8 =

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

18. Approximate 231.9 + 126.4 - 74.5 + 412.3

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

20. Estimate 568.4 + 123.7 - 89.6 + 298.1

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

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

3. Solve $8^3 - 7^2 + 5^2$

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

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

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

7. Simplify $7^3 - 5^2 + 8^2$

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

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

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

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

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

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

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

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

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

17. Simplify $11^2 - 3 \times 4 + 7^2$

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

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

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