Analytical problem solving and approximation techniques - Question Bank

1. Approximate the value of 99.8 / 19.9
A) 4
B) 5
C) 6
D) 7
2. Consider the expression: 75.1% of 40.2 - 24.9% of 80.1. What is the approximate result?
A) 10
B) 15
C) 20
D) 25
3. What is the approximate value of 33.3% of 900?
A) 200
B) 250
C) 300
D) 350
4. Approximate the value of 1.5 * 1.5 * 1.5
A) 2.25
B) 3.0
C) 3.375
D) 4.0
5. Which approximation strategy is most suitable for 4987 + 5012 + 1003?
A) Add the exact numbers
B) Round to the nearest thousand and add
C) Round to the nearest hundred and add
D) Add the first two numbers and approximate the third
6. What is the approximate value of 2/9 of 99?
A) 11
B) 18
C) 22
D) 24
7. Approximate the value of √225
A) 13
B) 14
C) 15
D) 16
8. Consider the expression: 40.1% of 200.1 - 19.9% of 100.2. What is the approximate result?
A) 50
B) 60
C) 70
D) 80
9. What is the approximate value of (3/4) * 120?
A) 80
B) 90
C) 100
D) 110
10. Approximate the value of 5001 / 4.99
A) 1000
B) 1100
C) 1200
D) 1300
11. Which of the following is the best approximation for 1/12?
A) 0.08
B) 0.0833
C) 0.1
D) 0.12
12. Approximate the value of 69.9 * 7.1
A) 420
B) 490
C) 560
D) 630
13. What is the approximate value of 99.9% of 1000?
A) 990
B) 999
C) 1000
D) 1001
14. Consider the expression: 24.8% of 50.1 + 75.2% of 100.1. What is the approximate result?
A) 80
B) 90
C) 100
D) 110
15. Which approximation is valid for 1/11?
A) 0.09
B) 0.0909
C) 0.1
D) 0.11
16. Approximate the value of √145
A) 10
B) 11
C) 12
D) 13
17. What is the approximate value of 1003 / 9.98?
A) 100
B) 110
C) 120
D) 130
18. When approximating a subtraction like 502 - 198, what is an effective strategy?
A) Subtract 500 - 100
B) Subtract 500 - 200
C) Subtract 502 - 200
D) Subtract 500 - 198
19. Approximate the value of 89.9% of 200
A) 160
B) 170
C) 180
D) 200
20. What is the most common fractional approximation for 0.125?
A) 1/7
B) 1/8
C) 1/9
D) 1/10
21. Consider the expression: 19.87 * 20.05 + 30.12 * 5.98. What is the approximate result?
A) 500
B) 550
C) 600
D) 650
22. Approximate the value of 1000 / 24.9
A) 40
B) 50
C) 60
D) 70
23. What is the approximate value of 7/8 of 240?
A) 180
B) 195
C) 210
D) 225
24. Which of the following is NOT a typical approximation for 2/3?
A) 0.67
B) 66.7%
C) 0.66
D) 20/30
25. Approximate the value of 49.95% of 600
A) 250
B) 270
C) 290
D) 300
26. When approximating a division like 100 / 3.1, what is a good strategy?
A) Divide 100 by 3
B) Divide 100 by 4
C) Divide 100 by 3.1 exactly
D) Divide 100 by 3.2
27. What is the approximate value of 15.1% of 79.9?
A) 10
B) 12
C) 14
D) 16
28. Approximate the value of 100.1 * 99.9
A) 9900
B) 10000
C) 10100
D) 10200
29. Which approximation is most useful for 1/8?
A) 0.1
B) 0.125
C) 0.15
D) 0.2
30. What is the approximate value of 66.7% of 90.1?
A) 50
B) 55
C) 60
D) 65
31. Approximate the value of 1999 + 2001 + 2998
A) 6000
B) 7000
C) 8000
D) 9000
32. If a calculation involves 1/9, what is its common decimal approximation?
A) 0.09
B) 0.10
C) 0.11
D) 0.12
33. What is the approximate value of 3998 / 7.99?
A) 400
B) 500
C) 600
D) 700
34. When approximating a multiplication like 4.5 * 6.2, what is a common strategy?
A) Multiply 4 * 6
B) Multiply 5 * 6
C) Multiply 4.5 * 6 and then add 4.5 * 0.2
D) Round both numbers to the nearest integer and multiply
35. Consider the expression: 59.9% of 80.1 + 19.8% of 149.9. What is the approximate result?
A) 75
B) 80
C) 85
D) 90
36. What is the approximate value of (4/7) * 210?
A) 100
B) 120
C) 140
D) 160
37. Which approximation is valid for 1/6?
A) 0.15
B) 0.16
C) 0.17
D) 0.18
38. Approximate the value of √725
A) 25
B) 27
C) 29
D) 31
39. When faced with a series of numbers to add, like 1234 + 5678 + 9012, what is a good approximation strategy?
A) Add the units digits only
B) Round each number to the nearest thousand and add
C) Round each number to the nearest hundred and add
D) Add the first two numbers exactly and approximate the third
40. What is the approximate value of 74.98% of 599.99?
A) 420
B) 450
C) 480
D) 500
41. In the context of analytical problem solving, what does 'analytical' imply?
A) Focus on speed and quick calculations
B) Breaking down a problem into smaller, manageable parts
C) Using complex formulas without understanding
D) Memorizing a large number of shortcuts
42. Which of these approximations is generally the least accurate?
A) Rounding 24.9% to 25%
B) Rounding 199 to 200
C) Rounding 1/7 to 0.14
D) Rounding 3/4 to 0.75
43. Approximate the value of (19.98 * 20.01) / 9.99
A) 20
B) 30
C) 40
D) 50
44. When approximating a square root like √50, what is a reasonable estimation?
A) 5
B) 6
C) 7
D) 8
45. What is the primary advantage of using approximation techniques in competitive exams like SBI PO?
A) Ensures perfect accuracy in all cases
B) Reduces the time taken to solve problems significantly
C) Requires advanced mathematical knowledge
D) Eliminates the need for basic arithmetic skills
46. If a problem involves a percentage like 33.33%, what is its common fractional approximation?
A) 1/2
B) 1/3
C) 1/4
D) 2/3
47. Consider the expression: 49.8% of 399.8 + 29.9% of 799.6. What is the approximate value?
A) 180
B) 200
C) 220
D) 240
48. Which of the following operations is generally easiest to approximate accurately?
A) Division of large numbers
B) Multiplication of numbers with decimals
C) Addition or subtraction of numbers close to round figures
D) Finding the square root of a non-perfect square
49. In approximation, if you have a sum like 599 + 701 + 998, what is the most efficient way to estimate the result?
A) Add the exact numbers first
B) Round each number to the nearest hundred and then add
C) Round each number to the nearest thousand and then add
D) Ignore the last two digits of each number and add
50. When approximating, which number is often rounded to 0.5 for easier calculation?
A) 1/3
B) 2/3
C) 1/4
D) 3/4
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