Himachal Pradesh HPTET N-2513 - Free Online Practice Test

61. What is the sum of all the interior angles of a polygon with ‘n’ sides? A. (n–1) 360° B. (n–2) 180° C. (n+1) 180° D. None of these

62. What is the length of diagonal of a rectangular field having dimensions 4 cm × 3 cm? A. 5 cm B. 7 cm C. 1 cm D. 4 cm

63. Find the value of k when ‘–2’ is the root of the quadratic equation 2x² – x + k = 0. A. 10 B. –10 C. 8 D. 9

64. Find the smallest number which should be multiplied to 2645 to get a perfect square. A. 5 B. 10 C. 23 D. None

65. The area of minor segment of a circle is – A. πr²θ/360° B. 2πr² C. 2πrθ/360° D. None

66. Find the value of tan48° × tan23° × tan42° × tan67°. A. 0 B. 1 C. 4 D. 3

67. If n = 7 and r = 3, then what is the value of ⁷C₃? A. 35 B. 210 C. 120 D. None

68. If sum of two natural numbers is 95 and one exceeds the other by 15, find the numbers. A. 40, 55 B. 45, 50 C. 50, 48 D. None

69. Find the value of ∫ eˣ ( f(x) + f′(x) ) dx. A. f′(x) + c B. f(x) + c C. eˣ f(x) + c D. eˣ f′(x) + c

70. For the quadratic polynomial 6x² – 7x – 3, the product of roots will be – A. –6/7 B. 07-Jun-2025 C. –1/2 D. 02-Jan-2025