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Pre-Board EXAMINATION 2023-24 STD-X MATHEMATICS Time: 2 MM-80 Section-A (All questions are compulsory) 1) Choose the correct answers to the questions from the given options. [Do not copy the question. Write the correct answer only] (15) a) A dice is rolled once. Find the probability of getting a prime number : i) 1/6 ii)1/3 iii)1/2 iv)1/4 b) MRP of an article is 10,000 and discount is 10 % and GST is 5%, calculate amount of bill i) 9450 ii) 9405 iii) 9054 iv) 9045 c) Solve: 2(x-4) < 1, x {1,2,3, .10} i) {1} ii) {1,2} iii) {1,2,3,4} iv) none of these d) In the given figure, AB is a chord of the circle such that =50 . If AT is a tangent to the circle at the point A, then = i) 65 ii) 60 iii) 50 iv) 40 e) If x, 5.4, 5, 9 are in proportion then x is: i) 3 ii)9.72 iii)25 iv)25/3 2 f) Which is a factor of p(x)= 4 + 3 i)x+1 ii)x+2 iii)x-2 iv)x-1 g) Which of the following is Row Matrix? 2 6 2 1 0 ] ] i)[2 4] ii)[ iii)[ ] iv)[ 4 1 1 0 1 h) Assertion(A): The 10th term from the end of the A.P.: 100,95,90,85 .10 is 55. Reason(R): The nth term from the end of the A.P. having last term and common difference is ( 1) i) Both (A) and (R) are true and (R) is the correct explanation of (A) (ii) Both (A) and (R) are true but (R) is not the correct explanation of (A) (iii) (A) is true but (R) is false (iv) (A) is false but (R) is true i) Which of the following points is invariant with respect to the line y = -2 i)(3,2) ii) (3,-2) iii)(2,3) iv)(-2,3) j) If P(3 , 4) is the mid-point of the line segment joining the points Q(-6, 5) and R(-2, 3),then the value of ` is i)-4 ii)-6 iii)12 iv)-12 k) The equation of a line passing through the point (-2, 3) and having X-intercept 4 units is i)x+2y=8 ii)x+2y=4 iii)2x+y=8 iv)x+y+4=0 l) If in two triangles DEF and ABC, = = , then i) ~ ii) ~
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