BASIC OPERATION AND FACTORISATION (CDS)

Total Questions: 77

71. If ax + by - 2 = 0 and axby = 1, where a ≠ 0, b ≠ 0 , then what is (a²x + b²y) equal to? [2014 (II) Evening Shift]

Correct Answer: (a) a + b
Solution:

72. Consider the following statements [2014 (II) Evening Shift]

1. (a - b - c) is one of the factor of 3abc + b³ + c³ - a³
2. (b + c - 1) is one of the factors of 3bc + b³ + c³ - 1.

Which of the above statement(s) is/are correct?

Correct Answer: (c) Both 1 and 2
Solution:

73. x³ + 6x² + 11x + 6 is divisible by [2014 (I) Morning Shift ]

Correct Answer: (d) All of the above
Solution:

74. What should be added to x(x + a) (x + 2a) (x + 3a) so that the sum must be a perfect square? [2014 (I) Morning Shift ]

Correct Answer: (c) a⁴
Solution:


75. If 3x⁴ - 2x³ + 3x² - 2x + 3 is divided by (3x + 2) then the remainder is [2014 (I) Morning Shift ]

Correct Answer: (b) 185/27
Solution:

76. The expression 2x³ + x² - 2x - 1 is divisible by [2014 (I) Morning Shift ]

Correct Answer: (b) 2x + 1
Solution:

77. Solve the following equation [2014 (I) Morning Shift ]

Correct Answer: (b)
Solution: