MCQ Grade 10 Past Paper PDF

JAIRAM PUBLIC SCHOOL, SALEM – 8 (CBSE-Senior Secondary) Student Name : Grade : X Sub : Math Date : 18.03.2023 I. MCQ...

JAIRAM PUBLIC SCHOOL, SALEM – 8 (CBSE-Senior Secondary) Student Name : Grade : X Sub : Math Date : 18.03.2023 I. MCQ 1. If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is (A) 4 (B) 2 (C) 1 (D) 3 2. The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is (A) 13 (B) 65 (C) 875 (D) 1750 3. If two positive integers a and b are written as a = x y and b = xy3 ; x, y are prime 3 2 numbers, then HCF (a, b) is (A) xy (B) xy2 (C) x 3 y3 (D) x2 y 2 4. If two positive integers p and q can be expressed as p = ab 2 and q = a3 b; a, b being prime numbers, then LCM (p, q) is (A) ab (B) a2 b2 (C) a3 b2 (D) a3 b3 5. The product of a non-zero rational and an irrational number is (A) always irrational (B) always rational (C) rational or irrational (D) one 6. The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is (A) 10 (B) 100 (C) 504 (D) 2520 2 7. If one zero of the quadratic polynomial x + 3x + k is 2, then the value of k is (A) 10 (B) –10 (C) 5 (D) –5 8. If one of the zeroes of the quadratic polynomial (k–1) x + k x + 1 is –3, then the value 2 of k is (A) 4 /3 (B) –4 /3 (C) 2/ 3 (D) –2/ 3 9. A quadratic polynomial, whose zeroes are –3 and 4, is 𝑥2 𝑥 (A) x2 – x + 12 (B) x2 + x + 12 (C) − −6 (D) 2x2 + 2x –24 2 2 10. If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then (A) a = –7, b = –1 (B) a = 5, b = –1 (C) a = 2, b = – 6 (D) a = 0, b = – 6 11. The number of polynomials having zeroes as –2 and 5 is (A) 1 (B) 2 (C) 3 (D) more than 3 2 12. The zeroes of the quadratic polynomial x + 99x + 127 are (A) both positive (B) both negative (C) one positive and one negative (D) both equal 13. The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0 (A) cannot both be positive (B) cannot both be negative (C) are always unequal (D) are always equal 14. If the zeroes of the quadratic polynomial ax + bx + c, c ≠ 0 are equal, then 2 (A) c and a have opposite signs (B) c and b have opposite signs (C) c and a have the same sign (D) c and b have the same sign 15. If one of the zeroes of a quadratic polynomial of the form x2 +ax + b is the negative of the other, then it (A) has no linear term and the constant term is negative. (B) has no linear term and the constant term is positive. (C) can have a linear term but the constant term is negative. JAIRAM PUBLIC SCHOOL,SALEM-8 Page 1  (D) can have a linear term but the constant term is positive. 16. Which of the following is not the graph of a quadratic polynomial? 17. Graphically, the pair of equations 6x – 3y + 10 = 0 2x – y + 9 = 0 represents two lines which are (A) intersecting at exactly one point. (B) intersecting at exactly two points. (C) coincident. (D) parallel. 18. The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have (A) a unique solution (B) exactly two solutions (C) infinitely many solutions (D) no solution 19. If a pair of linear equations is consistent, then the lines will be (A) parallel (B) always coincident (C) intersecting or coincident (D) always intersecting 20. The pair of equations y = 0 and y = –7 has (A) one solution (B) two solutions (C) infinitely many solutions (D) no solution 21. The pair of equations x = a and y = b graphically represents lines which are (A) parallel (B) intersecting at (b, a) (C) coincident (D) intersecting at (a, b) 22. For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines? (A) 1 /2 (B) -1/2 (C) 2 (D) –2 23. If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is (A) –5 /4 (B) 2/ 5 (C) 15/4 (D) 3 /2 24. The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is (A) 3 (B) – 3 (C) –12 (D) no value 25. One equation of a pair of dependent linear equations is –5x + 7y = 2. The second equation can be (A) 10x + 14y + 4 = 0 (B) –10x – 14y + 4 = 0 (C) –10x + 14y + 4 = 0 (D) 10x – 14y = –4 26. A pair of linear equations which has a unique solution x = 2, y = –3 is (A) x + y = –1, 2x – 3y = –5 (B) 2x + 5y = –11 , 4x + 10y = –22 (C) 2x – y = 1, 3x + 2y = 0 (D) x – 4y –14 = 0, 5x – y – 13 = 0 27. If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are, respectively (A) 3 and 5 (B) 5 and 3 (C) 3 and 1 (D) –1 and –3 28. Aruna has only Rs 1 and Rs 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs 75, then the number of Rs 1 and Rs 2 coins are, respectively (A) 35 and 15 (B) 35 and 20 (C) 15 and 35 (D) 25 and 25 JAIRAM PUBLIC SCHOOL,SALEM-8 Page 2 29. The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages, in years, of the son and the father are, respectively (A) 4 and 24 (B) 5 and 30 (C) 6 and 36 (D) 3 and 24 30. Which one of the following is not a quadratic equation? 31. A school has five houses A, B, C, D and E. A class has 23 students, 4 from house A, 8 from house B, 5 from house C, 2 from house D and rest from house E. A single student is selected at random to be the class monitor. The probability that the selected student is not from A, B and C is (A) 4/ 23 (B) 6/ 23 (C) 8/ 23 (D) 17/ 23 32. Which of the following is a quadratic equation? 33. Which of the following is not a quadratic equation? 34. Which of the following equations has 2 as a root? 5 35. If 1 /2 is a root of the equation x2 + kx – = 0, then the value of k is 4 (A) 2 (B) – 2 (C) 1/ 4 (D) 1 /2 36. Which of the following equations has the sum of its roots as 3? 37. Values of k for which the quadratic equation 2x2 – kx + k = 0 has equal roots is (A) 0 only (B) 4 (C) 8 only (D) 0, 8 38. The quadratic equation 2x2 – √5 x + 1 = 0 has JAIRAM PUBLIC SCHOOL,SALEM-8 Page 3  (A) two distinct real roots (B) two equal real roots (C) no real roots (D) more than 2 real roots 39. Which of the following equations has two distinct real roots? 40. Which of the following equations has no real roots? 41. 42. In an AP, if d = –4, n = 7, an = 4, then a is (A) 6 (B) 7 (C) 20 (D) 28 43. In an AP, if a = 3.5, d = 0, n = 101, then an will be (A) 0 (B) 3.5 (C) 103.5 (D) 104.5 44. The list of numbers – 10, – 6, – 2, 2,... is (A) an AP with d = – 16 (B) an AP with d = 4 (C) an AP with d = – 4 (D) not an AP −5 5 45. The 11th term of the AP: -5 , ,0, ………. Is 2 2 (A) –20 (B) 20 (C) –30 (D) 30 46. The first four terms of an AP, whose first term is –2 and the common difference is –2, are (A) – 2, 0, 2, 4 (B) – 2, 4, – 8, 16 (C) – 2, – 4, – 6, – 8 (D) – 2, – 4, – 8, –16 47. The 21st term of the AP whose first two terms are –3 and 4 is (A) 17 (B) 137 (C) 143 (D) –143 JAIRAM PUBLIC SCHOOL,SALEM-8 Page 4 48. If the 2nd term of an AP is 13 and the 5th term is 25, what is its 7th term? (A) 30 (B) 33 (C) 37 (D) 38 49. Which term of the AP: 21, 42, 63, 84,... is 210? (A) 9th (B) 10th (C) 11th (D) 12th 50. If the common difference of an AP is 5, then what is a 18 – a 13 ? (A) 5 (B) 20 (C) 25 (D) 30 51. What is the common difference of an AP in which a 18 – a14 = 32? (A) 8 (B) – 8 (C) – 4 (D) 4 52. Two APs have the same common difference. The first term of one of these is –1 and that of the other is – 8. Then the difference between their 4th terms is (A) –1 (B) – 8 (C) 7 (D) –9 53. If 7 times the 7th term of an AP is equal to 11 times its 11 th term, then its 18th term will be (A) 7 (B) 11 (C) 18 (D) 0 54. The 4th term from the end of the AP: –11, –8, –5,..., 49 is (A) 37 (B) 40 (C) 43 (D) 58 55. The famous mathematician associated with finding the sum of the first 100 natural numbers is (A) Pythagoras (B) Newton (C) Gauss (D) Euclid 56. If the first term of an AP is –5 and the common difference is 2, then the sum of the first 6 terms is (A) 0 (B) 5 (C) 6 (D) 15 57. The sum of first 16 terms of the AP: 10, 6, 2,... is (A) –320 (B) 320 (C) –352 (D) –400 58. In an AP if a = 1, an = 20 and Sn = 399, then n is (A) 19 (B) 21 (C) 38 (D) 42 59. The sum of first five multiples of 3 is (A) 45 (B) 55 (C) 65 (D) 75 JAIRAM PUBLIC SCHOOL,SALEM-8 Page 5 60. If in Fig 6.1, O is the point of intersection of two chords AB and CD such that OB = OD, then triangles OAC and ODB are (A) equilateral but not similar (B) isosceles but not similar (C) equilateral and similar (D) isosceles and similar 61. D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE ∥ BC. Then, length of DE (in cm) is (A) 2.5 (B) 3 (C) 5 (D) 6 62. In Fig. 6.2, ∠BAC = 90° and AD ⊥BC. Then, (A) BD. CD = BC 2 (B) AB. AC = BC 2 (C) BD. CD = AD 2 (D) AB. AC = AD 2 63. The lengths of the diagonals of a rhombus are 16 cm and 12 cm.Then, the length of the side of the rhombus is (A) 9 cm (B) 10 cm (C) 8 cm (D) 20 cm 64. If ∆ A B C ~ ∆ E D F and ∆A B C is not similar to ∆ D E F, then which of the following is not true? (A) BC. EF = A C. FD (B) AB. EF = AC. DE (C) BC. DE = AB. EF (D) BC. DE = AB. FD 𝐴𝐵 𝐵𝐶 𝐶𝐴 65. If in two triangles ABC and PQR, = = then 𝑄𝑅 𝑃𝑅 𝑃𝑄 (A) ∆ PQR ~ ∆ CAB (B) ∆ PQR ~ ∆ ABC (C) ∆ CBA ~ ∆ PQR (D) ∆ BCA ~ ∆ PQR 66. In Fig.6.3, two line segments AC and BD intersect each other at the point P such that PA = 6 cm, PB = 3 cm, PC = 2.5 cm, PD = 5 cm, ∆APB = 50° and ∆CDP = 30°. Then, ∆PBA is equal to (A) 50° (B) 30° (C) 60° (D) 100° 67. If in two triangles DEF and PQR, ∠D = ∠Q and ∠R = ∠E, then which of the following is not true? JAIRAM PUBLIC SCHOOL,SALEM-8 Page 6  𝐸𝐹 𝐷𝐹 𝐷𝐸 𝐸𝐹 𝐷𝐸 𝐷𝐹 𝐸𝐹 𝐷𝐸 (A) = (B) = (C) = (D) = 𝑃𝑅 𝑃𝑄 𝑃𝑄 𝑅𝑃 𝑄𝑅 𝑃𝑄 𝑅𝑃 𝑄𝑅 68. In triangles ABC and DEF, ∠B = ∠E, ∠F = ∠C and AB = 3 DE. Then, the two triangles are (A) congruent but not similar (B) similar but not congruent (C) neither congruent nor similar (D) congruent as well as similar 69. It is given that ∆ABC ~ ∆DFE, ∠A =30°, ∠C = 50°, AB = 5 cm, AC = 8 cm and DF= 7.5 cm. Then, the following is true: (A) DE = 12 cm, ∠F = 50° (B) DE = 12 cm, ∠F = 100° (C) EF = 12 cm, ∠D = 100° (D) EF = 12 cm, ∠D = 30° 𝐴𝐵 𝐵𝐶 70. If in triangles ABC and DEF, = , then they will be similar, when 𝐷𝐸 𝐹𝐷 (A) ∠B = ∠E (B) ∠A = ∠D (C) ∠B = ∠D (D) ∠A = ∠F 71. If the distance between the points (2, –2) and (–1, x) is 5, one of the values of x is (A) –2 (B) 2 (C) –1 (D) 1 72. The mid-point of the line segment joining the points A (–2, 8) and B (– 6, – 4) is (A) (– 4, – 6) (B) (2, 6) (C) (– 4, 2) (D) (4, 2) 73. The points A (9, 0), B (9, 6), C (–9, 6) and D (–9, 0) are the vertices of a (A) square (B) rectangle (C) rhombus (D) trapezium 74. The distance of the point P (2, 3) from the x-axis is (A) 2 (B) 3 (C) 1 (D) 5 75. The distance between the points A (0, 6) and B (0, –2) is (A) 6 (B) 8 (C) 4 (D) 2 76. The distance of the point P (–6, 8) from the origin is (A) 8 (B) 2√7 (C) 10 (D) 6 77. The distance between the points (0, 5) and (–5, 0) is (A) 5 (B) 5√2 (C) 2√5 (D) 10 78. AOBC is a rectangle whose three vertices are vertices A (0, 3), O (0, 0) and B (5, 0). The length of its diagonal is JAIRAM PUBLIC SCHOOL,SALEM-8 Page 7  (A) 5 (B) 3 (C)√34 (D) 4 79. The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is (A) 5 (B) 12 (C) 11 (D) 7 + √5 80. The area of a triangle with vertices A (3, 0), B (7, 0) and C (8, 4) is (A) 14 (B) 28 (C) 8 (D) 6 81. The points (–4, 0), (4, 0), (0, 3) are the vertices of a (A) right triangle (B) isosceles triangle (C) equilateral triangle (D) scalene triangle 82. The point which divides the line segment joining the points (7, –6) and (3, 4) in ratio 1 : 2 internally lies in the (A) I quadrant (B) II quadrant (C) III quadrant (D) IV quadrant 83. The point which lies on the perpendicular bisector of the line segment joining the points A (–2, –5) and B (2, 5) is (A) (0, 0) (B) (0, 2) (C) (2, 0) (D) (–2, 0) 84. The fourth vertex D of a parallelogram ABCD whose three vertices are A (–2, 3), B (6, 7) and C (8, 3) is (A) (0, 1) (B) (0, –1) (C) (–1, 0) (D) (1, 0) 85. If the point P (2, 1) lies on the line segment joining points A (4, 2) and B (8, 4), then 1 1 1 (A) AP = AB (B) AP = PB (C) PB = AB (D) AP = AB 3 3 2 𝑎 86. If P( , 4 ) a is the mid-point of the line segment joining the points Q (– 6, 5) and R 3 (– 2, 3), then the value of a is (A) – 4 (B) – 12 (C) 12 (D) – 6 87. The perpendicular bisector of the line segment joining the points A (1, 5) and B (4, 6) cuts the y-axis at (A) (0, 13) (B) (0, –13) (C) (0, 12) (D) (13, 0) 88. A line intersects the y-axis and x-axis at the points P and Q, respectively. If (2, –5) is the mid-point of PQ, then the coordinates of P and Q are, respectively (A) (0, – 5) and (2, 0) (B) (0, 10) and (– 4, 0) JAIRAM PUBLIC SCHOOL,SALEM-8 Page 8  (C) (0, 4) and (– 10, 0) (D) (0, – 10) and (4, 0) 89. If the distance between the points (4, p) and (1, 0) is 5, then the value of p is (A) 4 only (B) ± 4 (C) – 4 only (D) 0 4 90. If cos A = , then the value of tan A is 5 (A) 3 /5 (B) 3/ 4 (C) 4 /3 (D) 5 /3 91. If sin A = 1/ 2 , then the value of cot A is 92. Given that sin θ = a/ b , then cos θ is equal to 93. If ∆ABC is right angled at C, then the value of cos (A+B) is (A) 0 (B) 1 (C) 1/ 2 (D) √3/ 2 94. If sinA + sin2 A = 1, then the value of the expression (cos 2 A + cos4 A) is (A) 1 (B) 1/ 2 (C) 2 (D) 3 95. Given that sinα = 1/ 2 and cosβ = 1 /2 , then the value of (α + β) is (A) 0° (B) 30° (C) 60° (D) 90° 4𝑠𝑖𝑛𝜃−𝑐𝑜𝑠𝜃 96. If 4 tanθ = 3, then is equal to 4𝑠𝑖𝑛𝜃+𝑐𝑜𝑠𝜃 (A) 2/ 3 (B) 1/ 3 (C) 1 /2 (D) 3/ 4 97. If sinθ – cosθ = 0, then the value of (sin4 θ + cos4 θ) is (A) 1 (B) 3 /4 (C) 1 /2 (D) 1 / 4 98. A pole 6 m high casts a shadow 2 √3 m long on the ground, then the Sun’s elevation is (A) 60° (B) 45° (C) 30° (D) 90° 99. If angle between two radii of a circle is 130º, the angle between the tangents at the ends of the radii is : (A) 90º (B) 50º (C) 70º (D) 40º JAIRAM PUBLIC SCHOOL,SALEM-8 Page 9 100. In Fig. 9.1, the pair of tangents AP and AQ drawn from an external point A to a circle with centre O are perpendicular to each other and length of each tangent is 5 cm. Then the radius of the circle is (A) 10 cm (B) 7.5 cm (C) 5 cm (D) 2.5 cm 101. In Fig. 9.2, PQ is a chord of a circle and PT is the tangent at P such that ∠QPT = 60°. Then ∠PRQ is equal to (A) 135° (B) 150° (C) 120° (D) 110° 102. If radii of two concentric circles are 4 cm and 5 cm, then the length of each chord of one circle which is tangent to the other circle is (A) 3 cm (B) 6 cm (C) 9 cm (D) 1 cm 103. In Fig. 9.3, if ∠AOB = 125°, then ∠COD is equal to (A) 62.5° (B) 45° (C) 35° (D) 55° 104. In Fig. 9.4, AB is a chord of the circle and AOC is its diameter such that ∠ACB = 50°. If AT is the tangent to the circle at the point A, then ∠BAT is equal to (A) 65° (B) 60° (C) 50° (D) 40° 105. From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR is (A) 60 cm2 (B) 65 cm2 (C) 30 cm2 (D) 32.5 cm2 106. At one end A of a diameter AB of a circle of radius 5 cm, tangent XAY is drawn to the circle. The length of the chord CD parallel to XY and at a distance 8 cm from A is (A) 4 cm (B) 5 cm (C) 6 cm (D) 8 cm 107. In Fig. 9.5, AT is a tangent to the circle with centre O such that OT = 4 cm and ∠OTA = 30°. Then AT is equal to (A) 4 cm (B) 2 cm (C) 2 √3 cm (D) 4 √3 cm 108. In Fig. 9.6, if O is the centre of a circle, PQ is a chord and the tangent PR at P makes an angle of 50° with PQ, then ∠POQ is equal to JAIRAM PUBLIC SCHOOL,SALEM-8 Page 10  (A) 100° (B) 80° (C) 90° (D) 75° 109. In Fig. 9.7, if PA and PB are tangents to the circle with centre O such that ∠APB = 50°, then ∠OAB is equal to (A) 25° (B) 30° (C) 40° (D) 50° 110. If two tangents inclined at an angle 60° are drawn to a circle of radius 3 cm, then length of each tangent is equal to 3 (A) 2 √3 cm (B) 6 cm (C) 3 cm (D) 3 √3 cm 111. In Fig. 9.8, if PQR is the tangent to a circle at Q whose centre is O, AB is a chord parallel to PR and ∠BQR = 70°, then ∠AQB is equal to (A) 20° (B) 40° (C) 35° (D) 45° 112. If the area of a circle is 154 cm2 , then its perimeter is (A) 11 cm (B) 22 cm (C) 44 cm (D) 55 cm 113. If θ is the angle (in degrees) of a sector of a circle of radius r, then area of the sector is 114. If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then (A) R1 + R2 = R (B) R12 + R22 = R2 (C) R1 + R2 < R (D) R12 +R 22 Area of the square (C) Area of the circle < Area of the square (D) Nothing definite can be said about the relation between the areas of the circle and square. 117. If the perimeter of a circle is equal to that of a square, then the ratio of their areas is (A) 22 : 7 (B) 14 : 11 (C) 7 : 22 (D) 11: 14 118. The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36cm and 20 cm is (A) 56 cm (B) 42 cm (C) 28 cm (D) 16 cm 119. The diameter of a circle whose area is equal to the sum of the areas of the two circles of radii 24 cm and 7 cm is (A) 31 cm (B) 25 cm (C) 62 cm (D) 50 cm 120 The volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is (A) 9.7 cm3 (B) 77.6 cm3 (C) 58.2 cm3 (D) 19.4 cm3 121 A medicine-capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of entire capsule is 2 cm. The capacity of the capsule is (A) 0.36 cm3 (B) 0.35 cm3 (C) 0.34 cm3 (D) 0.33 cm3 122. If two solid hemispheres of same base radius r are joined together along their bases, then curved surface area of this new solid is (A) 4πr2 (B) 6πr2 (C) 3πr2 (D) 8πr2 123. A right circular cylinder of radius r cm and height h cm (h>2r) just encloses a sphere of diameter (A) r cm (B) 2r cm (C) h cm (D) 2h cm 124. Volumes of two spheres are in the ratio 64:27. The ratio of their surface areas is (A) 3 : 4 (B) 4 : 3 (C) 9 : 16 (D) 16 : 9 JAIRAM PUBLIC SCHOOL,SALEM-8 Page 12 125. Construction of a cumulative frequency table is useful in determining the (A) mean (B) median (C) mode (D) all the above three measures 126. In the following distribution : the number of families having income range (in Rs) 16000 – 19000 is (A) 15 (B) 16 (C) 17 (D) 19 127. Consider the following frequency distribution of the heights of 60 students of a class : The sum of the lower limit of the modal class and upper limit of the median class is (A) 310 (B) 315 (C) 320 (D) 330 128. Which of the the following can be the probability of an event? (A) – 0.04 (B) 1.004 (C) 18/ 23 (D) 8 / 7 129. A card is selected at random from a well shuffled deck of 52 playing cards. The probability of its being a face card is (A) 3 /13 (B) 4/ 13 (C) 6/ 13 (D) 9 /13 130. A bag contains 3 red balls, 5 white balls and 7 black balls. What is the probability that a ball drawn from the bag at random will be neither red nor black? (A) 1/ 5 (B) 1/ 3 (C) 7 /15 (D) 8 /15 131. For the following distribution : the sum of lower limits of the median class and modal class is (A) 15 (B) 25 (C) 30 (D) 35 132. Consider the following frequency distribution : JAIRAM PUBLIC SCHOOL,SALEM-8 Page 13  The upper limit of the median class is (A) 17 (B) 17.5 (C) 18 (D) 18.5 133. For the following distribution : the modal class is (A) 10-20 (B) 20-30 (C) 30-40 (D) 50-60 134. Consider the data : The difference of the upper limit of the median class and the lower limit of the modal class is (A) 0 (B) 19 (C) 20 (D) 38 135. The times, in seconds, taken by 150 atheletes to run a 110 m hurdle race are tabulated below : The number of atheletes who completed the race in less then 14.6 seconds is : (A) 11 (B) 71 (C) 82 (D) 130 136. Consider the following distribution : JAIRAM PUBLIC SCHOOL,SALEM-8 Page 14  the frequency of the class 30-40 is (A) 3 (B) 4 (C) 48 (D) 51 137. If an event cannot occur, then its probability is (A) 1 (B) 3 /4 (C) 1/ 2 (D) 0 138. Which of the following cannot be the probability of an event? (A) 1/ 3 (B) 0.1 (C) 3% (D) 17/ 16 139. An event is very unlikely to happen. Its probability is closest to (A) 0.0001 (B) 0.001 (C) 0.01 (D) 0.1 140. If the probability of an event is p, the probability of its complementary event will be 1 (A) p – 1 (B) p (C) 1 – p (D) 1 - 𝑝 141. The probability expressed as a percentage of a particular occurrence can never be (A) less than 100 (B) less than 0 (C) greater than 1 (D) anything but a whole number 142. If P(A) denotes the probability of an event A, then (A) P(A) < 0 (B) P(A) > 1 (C) 0 ≤ P(A) ≤ 1 (D) –1 ≤ P(A) ≤ 1 143. A card is selected from a deck of 52 cards.The probability of its being a red face card is (A) 3/ 26 (B) 3 /13 (C) 2 /13 (D) 1/ 2 144. The probability that a non leap year selected at random will contain 53 sundays is (A) 1 /7 (B) 2 /7 (C) 3/ 7 (D) 5 /7 145. When a die is thrown, the probability of getting an odd number less than 3 is (A) 1/ 6 (B) 1 /3 (C) 1/ 2 (D) 0 JAIRAM PUBLIC SCHOOL,SALEM-8 Page 15 146. A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is (A) 4 (B) 13 (C) 48 (D) 51 147. The probability of getting a bad egg in a lot of 400 is 0.035. The number of bad eggs in the lot is (A) 7 (B) 14 (C) 21 (D) 28 148. A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6000 tickets are sold, how many tickets has she bought? (A) 40 (B) 240 (C) 480 (D) 750 149. One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is (A) 1/ 5 (B) 3 /5 (C) 4/ 5 (D) 1/ 3 150. Someone is asked to take a number from 1 to 100. The probability that it is a prime is (A) 1/ 5 (B) 6/25 (C) 1/ 4 (D) 13/ 50 Answer key 1 B 21 D 41 C 61 B 81 B 101 C 121 A 141 B 2 A 22 C 42 D 62 C 82 D 102 B 122 A 142 C 3 B 23 C 43 B 63 B 83 A 103 D 123 B 143 A 4 C 24 D 44 B 64 C 84 B 104 C 124 D 144 A 5 A 25 D 45 B 65 A 85 D 105 A 125 B 145 A 6 D 26 B 46 C 66 D 86 B 106 D 126 D 146 D 7 B 27 C 47 B 67 B 87 A 107 C 127 B 147 B 8 A 28 D 48 B 68 B 88 D 108 A 128 C 148 C 9 C 29 C 49 B 69 B 89 B 109 A 129 A 149 A 10 D 30 C 50 C 70 C 90 B 110 D 130 B 150 C 11 D 31 B 51 A 71 B 91 A 111 B 131 B 12 B 32 D 52 C 72 C 92 C 112 C 132 B 13 A 33 D 53 D 73 B 93 A 113 A 133 C 14 C 34 C 54 B 74 B 94 A 114 B 134 C 15 A 35 A 55 C 75 B 95 D 115 A 135 C 16 D 36 B 56 A 76 C 96 C 116 B 136 A 17 D 37 D 57 A 77 B 97 C 117 B 137 D 18 D 38 C 58 C 78 C 98 A 118 C 138 D 19 C 39 B 59 A 79 B 99 B 119 D 139 A 20 D 40 A 60 D 80 C 100 C 120 B 140 C JAIRAM PUBLIC SCHOOL,SALEM-8 Page 16