Number Series, Quadratic Equations, Simplification, Approximation - Question Bank

1. Approximate the value of (7.99)^3
A) 512
B) 729
C) 1000
D) 1331
2. If the roots of the quadratic equation 2x^2 + kx + 6 = 0 are 2 and 3, what is the value of k?
A) -5
B) 5
C) -10
D) 10
3. For the quadratic equation x^2 + 6x + 9 = 0, what is the nature of its roots?
A) Two distinct real roots
B) Two equal real roots
C) No real roots
D) One positive and one negative root
4. The series 7, 14, 21, 28, 35 is an example of:
A) Geometric Progression
B) Arithmetic Progression
C) Square Series
D) Cube Series
5. What is the missing term in the series: 10, 12, 16, 22, ?
A) 28
B) 30
C) 32
D) 34
6. Simplify: 6 * (15 - 7) / 4 + 5
A) 11
B) 14
C) 17
D) 19
7. Approximate the value of 36.01 * 10.98
A) 360
B) 396
C) 400
D) 432
8. If one root of the quadratic equation x^2 - 5x + c = 0 is 2, what is the other root?
A) 2
B) 3
C) 5
D) 7
9. Find the roots of the quadratic equation x^2 - 9 = 0.
A) 3 and 3
B) -3 and -3
C) 3 and -3
D) 9 and -9
10. The series 100, 95, 90, 85, 80 is an example of:
A) Geometric Progression
B) Arithmetic Progression
C) Fibonacci Sequence
D) Prime Number Series
11. What is the next number in the series: 5, 15, 45, 135, ?
A) 270
B) 305
C) 375
D) 405
12. Simplify: (4/7) / (16/21) * (7/3)
A) 1/2
B) 3/4
C) 1
D) 2
13. Approximate the value of sqrt(81.05) + sqrt(16.02)
A) 11
B) 12
C) 13
D) 14
14. For the quadratic equation 3x^2 - 4x + 5 = 0, the discriminant is:
A) 16
B) -16
C) 36
D) -36
15. If the discriminant of a quadratic equation is negative, what are its roots?
A) Two distinct real roots
B) Two equal real roots
C) No real roots (complex roots)
D) One positive and one negative root
16. Consider the series 2, 8, 18, 32, 50. What is the pattern?
A) Adding 6 each time
B) Multiplying by 4 each time
C) 2 * n^2 where n = 1, 2, 3...
D) 2 * n^3 where n = 1, 2, 3...
17. What is the next term in the series: 1, 8, 27, 64, ?
A) 100
B) 125
C) 144
D) 169
18. Simplify: (2/3 + 1/2) * (4/5)
A) 7/15
B) 14/15
C) 7/10
D) 14/10
19. Approximate the value of 19.98% of 500.12
A) 50
B) 100
C) 150
D) 200
20. Solve for x: 2x^2 - 18 = 0
A) 3 and -3
B) 9 and -9
C) 6 and -6
D) sqrt(18) and -sqrt(18)
21. If the quadratic equation x^2 + px + 8 = 0 has equal roots, what is the value of p?
A) 4
B) -4
C) 8
D) -8
22. What type of series is 8, 4, 2, 1, 0.5?
A) Arithmetic Progression
B) Geometric Progression (decreasing)
C) Increasing Difference Series
D) Alternating Series
23. Find the missing term in the series: 4, 16, 36, 64, ?
A) 81
B) 100
C) 121
D) 144
24. Simplify: 18/5 of 25 + 12/3 of 15
A) 75
B) 90
C) 105
D) 120
25. Approximate the value of (125.05)^2 - (24.95)^2
A) 10000
B) 12000
C) 14000
D) 16000
26. If the roots of the quadratic equation ax^2 + bx + c = 0 are real and equal, then the discriminant is:
A) > 0
B) < 0
C) = 0
D) >= 0
27. The quadratic equation x^2 - (sum of roots)x + (product of roots) = 0 is a standard form. What are the sum and product of roots for x^2 - 7x + 12 = 0?
A) Sum = 7, Product = 12
B) Sum = -7, Product = 12
C) Sum = 7, Product = -12
D) Sum = -7, Product = -12
28. What is the next term in the series: 1, 1, 2, 3, 5, 8, ?
A) 11
B) 13
C) 15
D) 17
29. Find the missing term in the series: 11, 13, 17, 19, ?
A) 21
B) 23
C) 25
D) 27
30. Simplify: 25% of 80 + 50% of 60
A) 40
B) 50
C) 60
D) 70
31. Approximate the value of sqrt(100.15) * 3.98
A) 20
B) 30
C) 40
D) 50
32. What is the product of the roots of the quadratic equation 3x^2 + 6x - 9 = 0?
A) 3
B) -3
C) 2
D) -2
33. For the quadratic equation 2x^2 - 5x + 2 = 0, what is the sum of its roots?
A) 5/2
B) -5/2
C) 2/5
D) -2/5
34. The series 5, 10, 20, 40, 80 follows which pattern?
A) Adding 5 each time
B) Multiplying by 2 each time
C) Adding a progressively increasing number
D) Subtracting a progressively decreasing number
35. What is the next number in the series: 10, 20, 30, 40, ?
A) 45
B) 50
C) 55
D) 60
36. Simplify: (7/3) * (9/14) + (5/6)
A) 1
B) 1.5
C) 2
D) 2.5
37. Approximate the value of 49.87 * 19.95 + 10.12
A) 900
B) 1000
C) 1100
D) 1200
38. If one root of the quadratic equation x^2 - 7x + k = 0 is 3, what is the value of k?
A) 6
B) 10
C) 12
D) 18
39. Consider the quadratic equation x^2 + 4x + 4 = 0. What are its roots?
A) 2 and 2
B) -2 and -2
C) 4 and 4
D) -4 and -4
40. Identify the pattern in the series: 1, 4, 9, 16, 25. What is the next term?
A) 30
B) 32
C) 36
D) 40
41. What is the missing term in the series: 3, 7, 15, 31, ?
A) 61
B) 63
C) 65
D) 67
42. Which operation should be performed first in the expression 10 + (6 * 2) - 12 / 3?
A) Addition
B) Multiplication
C) Subtraction
D) Division
43. Approximation is used in quantitative aptitude to:
A) Find the exact value
B) Estimate a value close to the exact value
C) Solve complex equations quickly
D) Verify the correctness of calculations
44. What is the result of simplifying 15% of 200?
A) 15
B) 20
C) 30
D) 40
45. When simplifying the expression (5 + 3) * 4 / 2, what is the correct order of operations?
A) Multiplication, Division, Addition
B) Addition, Multiplication, Division
C) Division, Multiplication, Addition
D) Addition, Division, Multiplication
46. What are the roots of the quadratic equation x^2 - 5x + 6 = 0?
A) 2 and 3
B) -2 and -3
C) 1 and 6
D) -1 and -6
47. If the discriminant (b^2 - 4ac) of a quadratic equation is zero, what can be said about its roots?
A) Two distinct real roots
B) Two equal real roots
C) No real roots
D) One positive and one negative root
48. Consider the quadratic equation ax^2 + bx + c = 0. If the discriminant (b^2 - 4ac) is positive, how many real roots does the equation have?
A) No real roots
B) One real root
C) Two distinct real roots
D) Infinite real roots
49. If a number series is 2, 5, 10, 17, 26, what is the next term?
A) 35
B) 37
C) 39
D) 41
50. Which of the following is the characteristic of a geometric progression in a number series?
A) Constant difference between consecutive terms
B) Constant ratio between consecutive terms
C) Sum of the previous two terms forms the next term
D) Alternating addition and subtraction
All Question Banks
E-Book Number Series, Quadratic Equations, Simplification, Approximation One Line Questions Number Series, Quadratic Equations, Simplification, Approximation Online Test Number Series, Quadratic Equations, Simplification, Approximation