BASIC OPERATION AND FACTORISATION (CDS)

Total Questions: 77

61. Which one of the following is correct? [2015 (II) Evening Shift]

Correct Answer: (c)
Solution:


62. Solve the following equation [2015 (II) Evening Shift]

Correct Answer: (a)
Solution:

63. Solve the following equation [2015 (I) Morning Shift ]

Correct Answer: (d) Cannot be determined due to insufficient data
Solution:


64. For what value of k is (x - 5) a factor of x³ - 3x² + kx - 10 ? [2015 (I) Morning Shift ]

Correct Answer: (a) -8
Solution:

65. The expression x³q² - x³ pt + 4x²pt - 4xq² + 3xq² - 3xpt is divisible by [2015 (I) Morning Shift ]

Correct Answer: (c) Both (x - 1) and (x - 3)
Solution:

66. If x + y + z = 0, then x³ + y³ + z³ -3xyz is equal to [2015 (I) Morning Shift ]

Correct Answer: (a) 0
Solution:

67. If a - b = 4 and a² + b² = 40 where a and b are positive integers, then a³ + b⁶ is equal to [2015 (I) Morning Shift ]

Correct Answer: (b) 280
Solution:


68. If (x + k) is the common factor of x² + ax + b and x² + cx + d then what is k equal to? [2014 (II) Evening Shift]

Correct Answer: (a) (d - b) / (c - a)
Solution:

69. What is the remainder when x⁵ - 5x² + 125 is divided by (x + 5) ? [2014 (II) Evening Shift]

Correct Answer: (c) - 3125
Solution:

70. Solve the following equation [2014 (II) Evening Shift]

Correct Answer: (d) 0
Solution: