Himachal Pradesh HPTET N-2513 - Free Online Practice Test

71. Find the remainder when x³ – ax² + 6x – a is divided by (x – a). A. 3a B. 5a C. 7a D. 7a²

72. Find the distance between the points (a, –a) and (–a, a). A. 8a B. 2√2 a C. 4√a D. None of the above

73. Find the HCF of 243, 329 and 670. A. 21 B. 1 C. 5 D. 243

74. Find the product of mode and median for the data 6, 3, 9, 5, 1, 2, 3, 6, 5, 1 A. 6 B. 9 C. 3 D. None

75. Find the 30th term of the A.P. 10, 7, 4, … A. -77 B. 40 C. -147 D. None

76. The expanded form of 27x³ – 64y³ is A. (3x+4y)(9x²−12xy+16y²) B. (3x−4y)(9x²+12xy+16y²) C. (3x−4y)³ D. None

77. If a dice is thrown twice, probability of doublet? A. 05-Jan-2025 B. 06-Jan-2025 C. 01-Jul-1936 D. None

78. Find the value of x and y from figure A. 60°, 40° B. 45°, 90° C. 45°, 45° D. None

79. Find the value of 10y(6y+21) ÷ 5(2y+7) A. 10y B. 6y C. y D. 3y+7

80. A chalk contains Ca:C:O = 10:3:12. Find % of carbon A. 0.1 B. 0.4 C. 0.48 D. None