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HSSC TGT Maths Date 30/4/2023 Morning Shift
📆 December 12, 2024
Total Questions: 100
71.
The probability that a student will pass his examination is 0.73, the probability of the student getting a seat abroad is 0.13, and the probability that he will pass or get a seat abroad is 0.80. Then the probability of him passing and getting a seat abroad is:
(a) 0.06
(b) 0
(c) 0.6
(d) None of these
(e) Unattempted
Correct Answer:
(a) 0.06
72.
The coordinates of the focus of the parabola x² = -16y are:
(a) (-4, 0)
(b) (0, -4)
(c) (4, 0)
(d) (0, 4)
(e) Unattempted
Correct Answer:
(b) (0, -4)
73.
∫dx / x(x² + 1) = ?
(a) log |x| -1/2 log(x² + 1) + c
(b) -log |x| + 1/2 log(x² + 1) + c
(c) log |x| + 1/2 log(x² + 1) + c
(d) None of these
(e) Unattempted
Correct Answer:
(a) log |x| -1/2 log(x² + 1) + c
74.
If A is a matrix of order 3 x 3 , |A| = 5, then |3A| =
(b) 135
(a) 15
(c) 45
(d) None of these
(e) Unattempted
Correct Answer:
(b) 135
75.
If |1 - i|ˣ x = 2ˣ x (where i = √-1) the number of non-zero integral solutions is:
(a) 1
(b) 4
(c) 2
(d) 0
(e) Unattempted
Correct Answer:
(d) 0
76.
If the sum of n terms of an A.P. is S = 3n+2n² , then the common difference of the A.P. is:
(a) 3
(b) 6
(c) 2
(d) 4
(e) Unattempted
Correct Answer:
(d) 4
77.
The order of the differential equation (dy/dx)² + 3/dy/dx + y = is
(a) 2
(b) 3
(c) 1
(d) None of these
(e) Unattempted
Correct Answer:
(c) 1
78.
The value of tan(sec⁻¹2) + cot (cosec⁻¹3) is :
(a) 5
(b) 13
(c) 11
(d) 15
(e) Unattempted
Correct Answer:
(c) 11
79.
If 2 ≤ 3x - 4 ≤ 5, then x lies in the interval :
(a) (-2, 3)
(b) (2, 3)
(c) [2,3]
(d) [-2,-3]
(e) Unattempted
Correct Answer:
(c) [2,3]
80.
The arithmetic mean of the series 1, 2, 3, 4, 8, 16 ................2⁰ is :
(a)
(b)
(c)
(d)
(e) Unattempted
Correct Answer:
(c)
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