MCQs on Simplifications & Approximations

[Set - 1]

1. Simplify the expression 14 \times 3 + \frac{48}{8} - 7^2

A) 0
B) -1
C) 1
D) 2

Correct Answer: B) -1
Explanation:
First, multiply:
14 \times 3 = 42
Then, divide:
\frac{48}{8} = 6
Then, square:
7^2 = 49
Now, add and subtract:
42 + 6 – 49 = -1

2. Approximate the value of 673.25 + 189.47 - 432.15 + 223.12

A) 653.59
B) 653.69
C) 653.79
D) 653.89

Correct Answer: B) 653.69
Explanation:
First, add and subtract in order:
673.25 + 189.47 = 862.72
862.72 – 432.15 = 430.57
430.57 + 223.12 = 653.69

3. Calculate the result of 7 \times (5 + 4) - \frac{36}{9}

A) 57
B) 58
C) 59
D) 60

Correct Answer: C) 59
Explanation:
First, calculate inside the parentheses:
5 + 4 = 9
Then, multiply:
7 \times 9 = 63
Then, divide:
\frac{36}{9} = 4
Now, subtract:
63 – 4 = 59

4. Find the approximate result for 1247.89 \times 2.3 \div 11.7

A) 245.31
B) 245.67
C) 245.77
D) 245.87

Correct Answer: A) 245.31
Explanation:
First, multiply:
1247.89 \times 2.3 = 2870.15
Then, divide:
2870.15 \div 11.7 = 245.31

5. Simplify 9^2 - 2^3 + 18 \div 3

A) 77
B) 78
C) 79
D) 80

Correct Answer: C) 79
Explanation:
First, square:
9^2 = 81
Then, exponentiate:
2^3 = 8
Then, divide:
18 \div 3 = 6
Now, add and subtract:
81 – 8 + 6 = 79

6. Estimate the value of 251.7 + 142.8 - 98.6 + 201.9

A) 497.8
B) 497.6
C) 497.9
D) 498.0

Correct Answer: A) 497.8
Explanation:
First, add and subtract in order:
251.7 + 142.8 = 394.5
394.5 – 98.6 = 295.9
295.9 + 201.9 = 497.8

7. Solve this simplification \frac{(25 + 15)}{5} \times 4

A) 30
B) 32
C) 34
D) 36

Correct Answer: B) 32
Explanation:
First, solve inside the parentheses:
25 + 15 = 40
Then, divide:
\frac{40}{5} = 8
Now, multiply:
8 \times 4 = 32

8. Approximate 762.3 + 537.1 - 428.9 + 256.7

A) 1125.2
B) 1126.2
C) 1127.2
D) 1128.2

Correct Answer: C) 1127.2
Explanation:
First, add and subtract in order:
762.3 + 537.1 = 1299.4
1299.4 – 428.9 = 870.5
870.5 + 256.7 = 1127.2

9. Simplify 6^3 - 5 \times 8 + 2^5

A) 206
B) 207
C) 208
D) 209

Correct Answer: C) 208
Explanation:
First, calculate the exponent:
6^3 = 216
2^5 = 32
Then, multiply:
5 \times 8 = 40
Now, subtract and add:
216 – 40 + 32 = 208

10. Estimate 1497.34 + 653.12 - 328.55 + 124.67

A) 1945.58
B) 1946.58
C) 1947.58
D) 1948.58

Correct Answer: B) 1946.58
Explanation:
First, add and subtract in order:
1497.34 + 653.12 = 2150.46
2150.46 – 328.55 = 1821.91
1821.91 + 124.67 = 1946.58

11. Calculate 18 \times 7 + 32 \div 4

A) 134
B) 135
C) 136
D) 137

Correct Answer: A) 134
Explanation:
First, multiply:
18 \times 7 = 126
Then, divide:
32 \div 4 = 8
Now, add:
126 + 8 = 134

12. Approximate 974.56 + 322.45 - 145.38 + 200.14

A) 1350.77
B) 1351.77
C) 1352.77
D) 1353.77

Correct Answer: B) 1351.77
Explanation:
First, add and subtract in order:
974.56 + 322.45 = 1297.01
1297.01 – 145.38 = 1151.63
1151.63 + 200.14 = 1351.77

13. Simplify 4^3 - 3^2 + 5^2

A) 78
B) 79
C) 80
D) 81

Correct Answer: C) 80
Explanation:
First, calculate the exponents:
4^3 = 64
3^2 = 9
5^2 = 25
Now, subtract and add:
64 – 9 + 25 = 80

14. Estimate the result of 345.5 + 678.9 \div 12.3

A) 400.30
B) 400.50
C) 400.70
D) 400.90

Correct Answer: C) 400.70
Explanation:
First, divide:
678.9 \div 12.3 = 55.22
Then, add:
345.5 + 55.22 = 400.70

15. Solve 8 \times (6 + 5) - 2^4

A) 70
B) 72
C) 74
D) 76

Correct Answer: B) 72
Explanation:
First, calculate inside the parentheses:
6 + 5 = 11
Then, multiply:
8 \times 11 = 88
Now, exponentiate:
2^4 = 16
Finally, subtract:
88 – 16 = 72

16. Approximate 623.4 + 289.7 - 143.9 + 108.6

A) 877.6
B) 877.7
C) 877.8
D) 877.9

Correct Answer: C) 877.8
Explanation:
First, add and subtract in order:
623.4 + 289.7 = 913.1
913.1 – 143.9 = 769.2
769.2 + 108.6 = 877.8

17. Simplify 5 \times 9 - 3^2 + \frac{42}{6}

A) 43
B) 44
C) 45
D) 46

Correct Answer: A) 43
Explanation:
First, multiply:
5 \times 9 = 45
Then, exponentiate:
3^2 = 9
Then, divide:
\frac{42}{6} = 7
Now, subtract and add:
45 – 9 + 7 = 43

18. Find the approximate value of 457.8 + 311.2 - 150.3 + 92.5

A) 711.0
B) 711.1
C) 711.2
D) 711.3

Correct Answer: C) 711.2
Explanation:
First, add and subtract in order:
457.8 + 311.2 = 769.0
769.0 – 150.3 = 618.7
618.7 + 92.5 = 711.2

19. Solve this simplification 7^2 - 4^3 + 6 \times 3

A) 1
B) 2
C) 3
D) 4

Correct Answer: C) 3
Explanation:
First, calculate the exponents:
7^2 = 49
4^3 = 64
Then, multiply:
6 \times 3 = 18
Now, subtract and add:
49 – 64 + 18 = 3

20. Approximate 812.67 + 223.44 - 107.89 + 329.12

A) 1257.34
B) 1257.44
C) 1257.54
D) 1257.64

Correct Answer: A) 1257.34
Explanation:
First, add and subtract in order:
812.67 + 223.44 = 1036.11
1036.11 – 107.89 = 928.22
928.22 + 329.12 = 1257.34

Share this with your friends

Solve More MCQs on Simplifications & Approximations

    •   Back
    • MCQs Percentages
    • MCQs Numbers
    • MCQs LCM & HCF
    • MCQs Averages
    • MCQs Time, Speed & Distance
    • MCQs Time and Work
    • MCQs Profit and Loss
    • MCQs Simple Interest
    • MCQs Compound Interest
    • MCQs Steam and Boat
    • MCQs Mensuration 2D
    • MCQs Mensuration 3D
    • MCQs Partnership
    • MCQs Height and Distance
    • MCQs Trigonometry
    • MCQs Algebra
    • MCQs Geometry
    • MCQs Logarithms
    • MCQs Probability
    • MCQs Permutation & Combination
    • MCQs Simplifications & Approximations
    • MCQs Data Interpretations
    • MCQs Mixture & Allegations
    • MCQs Cubes and cuboids
    • MCQs Ratio and Proportion
    • MCQs Pipes and Cisterns
Show All
Lorem Ipsum is simply dumy text of the printing typesetting industry lorem ipsum.

Subscribe to our Newsletter

Subscribe to our Newsletter

& stay ahead of your competitors!

You have been successfully Subscribed! Ops! Something went wrong, please try again.
Subscribe Form

* Subscribe to our email newsletter to get the latest posts delivered right to your email.

© MCQs 4 Exams. All rights reserved.