MCQs on Simplifications & Approximations

[Set - 4]

1. $\frac{(16 + 24)}{4} \times 9 - 3^3 =$

A) 53
B) 52
C) 53
D) 63

Show Answer

Correct Answer: D) 63
Explanation:
First, calculate inside the parentheses:
$16 + 24 = 40$
Then, divide:
$40 \div 4 = 10$
Now, multiply:
$10 \times 9 = 90$
Then, calculate the exponent:
$3^3 = 27$
Finally, subtract:
$90 - 27 = 63$

2. Approximate $1983.72 + 746.51 - 498.34 + 231.48$

A) 2463.36
B) 2463.37
C) 2463.38
D) 2463.39

Show Answer

Correct Answer: B) 2463.37
Explanation:
First, add and subtract in sequence:
$1983.72 + 746.51 = 2730.23$
$2730.23 - 498.34 = 2231.89$
$2231.89 + 231.48 = 2463.37$

3. Solve $8^2 - 4^3 + 7 \times 6$

A) 41
B) 42
C) 43
D) 44

Show Answer

Correct Answer: B) 42
Explanation:
First, calculate the exponents:
$8^2 = 64$
$4^3 = 64$
Then, multiply:
$7 \times 6 = 42$
Now, perform the subtraction and addition:
$64 - 64 + 42 = 42$

4. Approximate $427.56 + 328.19 - 212.47 + 137.84$

A) 679.12
B) 680.12
C) 681.12
D) 682.12

Show Answer

Correct Answer: C) 681.12
Explanation:
First, add and subtract in sequence:
$427.56 + 328.19 = 755.75$
$755.75 - 212.47 = 543.28$
$543.28 + 137.84 = 681.12$

5. Simplify $9^2 - 3 \times 5 + 8^2$

A) 130
B) 140
C) 150
D) 160

Show Answer

Correct Answer: A) 130
Explanation:
First, calculate the exponents:
$9^2 = 81$
$8^2 = 64$
Then, multiply:
$3 \times 5 = 15$
Now, perform the addition and subtraction:
$81 - 15 + 64 = 130$

6. Simplify $785.4 + 658.3 - 473.2 + 345.7$

A) 1316.1
B) 1316.2
C) 1316.3
D) 1316.4

Show Answer

Correct Answer: B) 1316.2
Explanation:
First, add and subtract in sequence:
$785.4 + 658.3 = 1443.7$
$1443.7 - 473.2 = 970.5$
$970.5 + 345.7 = 1316.2$

7. Calculate $10 \times (6 + 4) - 5^3$

A) -75
B) -45
C) -55
D) -25

Show Answer

Correct Answer: D) -25
Explanation:
First, calculate inside the parentheses:
$6 + 4 = 10$
Then, multiply:
$10 \times 10 = 100$
Then, calculate the exponent:
$5^3 = 125$
Now, subtract:
$100 - 125 = -25$

8. Approximate $2314.56 + 764.23 - 498.78 + 653.45$

A) 3233.44
B) 3233.45
C) 3233.46
D) 3233.47

Show Answer

Correct Answer: C) 3233.46
Explanation:
First, add and subtract in sequence:
$2314.56 + 764.23 = 3078.79$
$3078.79 - 498.78 = 2580.01$
$2580.01 + 653.45 = 3233.46$

9. Solve $5^3 - 7^2 + 6 \times 9$

A) 130
B) 140
C) 150
D) 160

Show Answer

Correct Answer: A) 130
Explanation:
First, calculate the exponents:
$5^3 = 125$
$7^2 = 49$
Then, multiply:
$6 \times 9 = 54$
Now, perform the subtraction and addition:
$125 - 49 + 54 = 130$

10. Approximate $325.67 + 189.43 - 97.56 + 413.45$

A) 829.99
B) 830.99
C) 831.99
D) 832.99

Show Answer

Correct Answer: B) 830.99
Explanation:
First, add and subtract in sequence:
$325.67 + 189.43 = 515.10$
$515.10 - 97.56 = 417.54$
$417.54 + 413.45 = 830.99$

11. Simplify $\frac{(24 + 12)}{4} \times 11 - 2^4$

A) 81
B) 82
C) 83
D) 84

Show Answer

Correct Answer: C) 83
Explanation:
First, calculate inside the parentheses:
$24 + 12 = 36$
Then, divide:
$36 \div 4 = 9$
Now, multiply:
$9 \times 11 = 99$
Then, calculate the exponent:
$2^4 = 16$
Finally, subtract:
$99 - 16 = 83$

12. Approximate $1167.89 + 794.51 - 623.25 + 401.67$

A) 1740.80
B) 1740.81
C) 1740.82
D) 1740.83

Show Answer

Correct Answer: C) 1740.82
Explanation:
First, add and subtract in sequence:
$1167.89 + 794.51 = 1962.40$
$1962.40 - 623.25 = 1339.15$
$1339.15 + 401.67 = 1740.82$

13. Solve $9^3 - 4^2 + 3^3$

A) 739
B) 740
C) 750
D) 759

Show Answer

Correct Answer: B) 740
Explanation:
First, calculate the exponents:
$9^3 = 729$
$4^2 = 16$
$3^3 = 27$
Now, perform the subtraction and addition:
$729 - 16 + 27 = 740$

14. Approximate $827.34 + 523.41 - 293.78 + 661.12$

A) 1718.09
B) 1718.19
C) 1718.59
D) 1718.89

Show Answer

Correct Answer: A) 1718.09
Explanation:
First, add and subtract in sequence:
$827.34 + 523.41 = 1350.75$
$1350.75 - 293.78 = 1056.97$
$1056.97 + 661.12 = 1718.09$

15. Simplify $6 \times (5 + 7) - 4^3$

A) 8
B) 7
C) 18
D) 17

Show Answer

Correct Answer: A) 8
Explanation:
First, calculate inside the parentheses:
$5 + 7 = 12$
Then, multiply:
$6 \times 12 = 72$
Then, calculate the exponent:
$4^3 = 64$
Now, subtract:
$72 - 64 = 8$

16. Approximate $1458.89 + 954.12 - 672.35 + 389.43$

A) 2130.09
B) 2129.09
C) 2131.09
D) 2129.11

Show Answer

Correct Answer: A) 2130.09
Explanation:
First, add and subtract in sequence:
$1458.89 + 954.12 = 2413.01$
$2413.01 - 672.35 = 1740.66$
$1740.66 + 389.43 = 2130.09$

17. Simplify $11 \times (4 + 6) - 8^2$

A) 49
B) 48
C) 47
D) 46

Show Answer

Correct Answer: D) 46
Explanation:
First, calculate inside the parentheses:
$4 + 6 = 10$
Then, multiply:
$11 \times 10 = 110$
Then, calculate the exponent:
$8^2 = 64$
Now, subtract:
$110 - 64 = 46$

18. $1346.75 + 978.43 - 563.27 + 243.56 =$

A) 2005.47
B) 2005.57
C) 2004.47
D) 2004.57

Show Answer

Correct Answer: A) 2005.47
Explanation:
First, add and subtract in sequence:
$1346.75 + 978.43 = 2325.18$
$2325.18 - 563.27 = 1761.91$
$1761.91 + 243.56 = 2005.47$

19. Solve $7^2 - 6^3 + 2^4$

A) -150
B) -151
C) -152
D) -153

Show Answer

Correct Answer: B) -151
Explanation:
First, calculate the exponents:
$7^2 = 49$
$6^3 = 216$
$2^4 = 16$
Now, perform the subtraction and addition:
$49 - 216 + 16 = -151$

20. Approximate $214.89 + 397.56 - 231.43 + 645.72$

A) 1026.74
B) 1026.77
C) 1026.64
D) 1026.47

Show Answer

Correct Answer: A) 1026.74
Explanation:
First, add and subtract in sequence:
$214.89 + 397.56 = 612.45$
$612.45 - 231.43 = 381.02$
$381.02 + 645.72 = 1026.74$

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MCQs on Simplifications & Approximations

[Set - 4]

1. \frac{(16 + 24)}{4} \times 9 - 3^3 =

2. Approximate 1983.72 + 746.51 - 498.34 + 231.48

3. Solve 8^2 - 4^3 + 7 \times 6

4. Approximate 427.56 + 328.19 - 212.47 + 137.84

5. Simplify 9^2 - 3 \times 5 + 8^2

6. Simplify 785.4 + 658.3 - 473.2 + 345.7

7. Calculate 10 \times (6 + 4) - 5^3

8. Approximate 2314.56 + 764.23 - 498.78 + 653.45

9. Solve 5^3 - 7^2 + 6 \times 9

10. Approximate 325.67 + 189.43 - 97.56 + 413.45

11. Simplify \frac{(24 + 12)}{4} \times 11 - 2^4

12. Approximate 1167.89 + 794.51 - 623.25 + 401.67

13. Solve 9^3 - 4^2 + 3^3

14. Approximate 827.34 + 523.41 - 293.78 + 661.12

15. Simplify 6 \times (5 + 7) - 4^3

16. Approximate 1458.89 + 954.12 - 672.35 + 389.43

17. Simplify 11 \times (4 + 6) - 8^2

18. 1346.75 + 978.43 - 563.27 + 243.56 =

19. Solve 7^2 - 6^3 + 2^4

20. Approximate 214.89 + 397.56 - 231.43 + 645.72

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1. $\frac{(16 + 24)}{4} \times 9 - 3^3 =$

2. Approximate $1983.72 + 746.51 - 498.34 + 231.48$

3. Solve $8^2 - 4^3 + 7 \times 6$

4. Approximate $427.56 + 328.19 - 212.47 + 137.84$

5. Simplify $9^2 - 3 \times 5 + 8^2$

6. Simplify $785.4 + 658.3 - 473.2 + 345.7$

7. Calculate $10 \times (6 + 4) - 5^3$

8. Approximate $2314.56 + 764.23 - 498.78 + 653.45$

9. Solve $5^3 - 7^2 + 6 \times 9$

10. Approximate $325.67 + 189.43 - 97.56 + 413.45$

11. Simplify $\frac{(24 + 12)}{4} \times 11 - 2^4$

12. Approximate $1167.89 + 794.51 - 623.25 + 401.67$

13. Solve $9^3 - 4^2 + 3^3$

14. Approximate $827.34 + 523.41 - 293.78 + 661.12$

15. Simplify $6 \times (5 + 7) - 4^3$

16. Approximate $1458.89 + 954.12 - 672.35 + 389.43$

17. Simplify $11 \times (4 + 6) - 8^2$

18. $1346.75 + 978.43 - 563.27 + 243.56 =$

19. Solve $7^2 - 6^3 + 2^4$

20. Approximate $214.89 + 397.56 - 231.43 + 645.72$