my best utube channel maths by anshu:cbse class 10th maths objective questions 2021
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1. The LCM of 24, 60 and 150 is a. 2400 b. 1800 c. 600 d. 1200
2. If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is a. -5/4b.3/2 c.15/4 d.2/5
3. The pair of equations x = 2 and y = -3 has a. no solution b. one solution c. infinitely many solutions d. two solutions
4. The product of two numbers is 1600 and their HCF is 5. The LCM of the numbers is a. 1600 b. 8000 c. 1605 d. 320
5. A quadratic polynomial whose zeroes are - 3 and 6, is a. x 2 + 3x + 18 b. c. x 2 - 3x + 18 d. x 2 + 3x - 18
6. 1. The probability of selecting a queen of diamonds when a card is drawn from well shuffled pack of 52 cards is a.1/52 b.1/13 c. 16/52 d.1/26
7. 12. If HCF (72, 120) = 24, then LCM (72, 120) is a. 2880 b. 240 c. 1728 d. 360
8. . Cards, each marked with one of the numbers 6,7,8 ,..., 15, are placed in a box and mixed thoroughly. One card is drawn at random from the box, What is the probability of getting a card with number less than 10 a 2/5. B1/2. C1/3. D3/5
9. . If HCF (a, b) = 12 and a b = 1800, then LCM (a, b) is a. 150 b. 90 c. 900 d. 1800
10. . The HCF of two consecutive numbers is a. 2 b. 0 c. 3 d. 1
11. A system of linear equations is said to be consistent, if it has a. two solutions b. one or many solutions c. no solution d. exactly one solution
12. 30. If one zero of the quadratic polynomial kx 2 + 3x + k is 2 then the value of k is a-5/6. b.-6/5 c.5/6 d.6/5
13. A box contains cards numbered 6 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square like 4,9….is (a) 1/45 (b) 2/15 (c) 4/45 (d) 1/9
14. The pair of linear equations y = 0 and y =-5 has (a) One solution (b) Two solutions (c) Infinitely many solutions (d) No solution
15.A fair die is thrown once. The probability of even composite number is (a) 0 (b) 1/3 (c) 3/4 (d) 1
16. 8 chairs and 5 tables cost Rs.10500, while 5 chairs and 3 tables cost Rs.6450. The cost of each chair will be (a) Rs. 750 (b) Rs.600 (c) Rs. 850 (d) Rs. 900
17. The decimal representation of 23 2 3 × 5 2 will be (a) Terminating (b) Non-terminating (c) Non-terminating and repeating (d) Non-terminating and non-repeating
18. The LCM of 23X32 and 22X33 is (a) 2 3 (b) 3 3 (c) 2 3X33 (d) 2 2X32
19. The HCF of two numbers is 18 and their product is 12960. Their LCM will be (a) 420 (b) 600 (c) 720 (d) 800
20. The prime factorisation of 3825 is (a) 3x52 x21 (b) 3 2 x52 x35 (c) 3 2 x52 x17 (d) 3 2 x25x17
21. f -1 is a zero of the polynomial p(x)=x2 -7x-8 , then the other zero is (a) -8 (b) -7 (c) 1 (d) 8
22. In a throw of a pair of dice, the probability of the same number on each die is (a) 1/6 (b) 1/3 (c) 1/2 (d) 5/6
23. The decimal expansion of 147/ 120 will terminate after how many places of decimals? (a) 1 (b) 2 (c) 3 (d) 4
24. If P (E) denotes the probability of an event E, then (a) 0< P(E) ⩽1 (b) 0 < P(E) < 1 (c) 0 ≤ P(E) ≤1 (d) 0 ⩽P(E) <1
25. The pair of linear equations 3x+5y=3 and 6x+ky=8 do not have a solution if (a) K=5 (b) K=10 (c) k≠10 (d) k≠5
26. Three bells ring at intervals of 4, 7 and 14 minutes. All three rang at 6 AM. When will they ring together again? (a) 6:07 AM (b) 6:14 AM (c) 6:28 AM (d) 6:25 AM
27. What is the age of father, if the sum of the ages of a father and his son in years is 65 and twice the difference of their ages in years is 50? (a) 40 years (b) 45 years (c) 55 years (d) 65 years
28. There are 20 vehicles-cars and motorcycles in a parking area. If there are 56 wheels together, how many cars are there? (a) 8 (b) 10 (c) 12 (d) 20
29. A man goes 15m due west and then 8m due north. How far is he from the starting point? (a) 7m (b) 10m (c) 17m (d) 23m
30. If the letters of the word RAMANUJAN are put in a box and one letter is drawn at random. The probability that the letter is A is (a) 3/5 (b) 1/2 (c) 3/7 (d) 1/3
31. What is the solution of the pair of linear equations 37x+43y=123, 43x+37y=117? (a) x = 2,y = 1 (b) x = -1,y = 2 (c) x = -2,y = 1 (d) x = 1,y = 2
32. The ratio of LCM and HCF of the least composite and the least prime numbers is (a) 1:2 (b) 2:1 (c) 1:1 (d) 1:3
33. The value of k for which the lines 5x+7y=3 and 15x + 21y = k coincide is (a) 9 (b) 5 (c) 7 (d) 18
34. Two fair coins are tossed. What is the probability of getting at the most one head? (a) ¾ (b) ¼ (c) ½ (d) 3/8
35. Prime factors of the denominator of a rational number with the decimal expansion 44.123 are (a) 2,3 (b) 2,3,5 (c) 2,5 (d) 3,5
36. The lines x = a and y = b, are (a) intersecting (b) parallel (c) overlapping (d) (None of these)
37. If a² = 23/25, then a is (a) rational (b) irrational (c) whole number (d) integer
38. If LCM(x, 18) =36 and HCF(x, 18) =2, then x is (a) 2 (b) 3 (c) 4 (d) 5
39. 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
40. A letter of English alphabets is chosen at random. What is the probability that it is a letter of the word ‘MATHEMATICS’? (a) 4/13 (b) 9/26 (c) 5/13 (d) 11/26
41. If sum of two numbers is 1215 and their HCF is 81, then the possible number of pairs of such numbers are (a) 2 (b) 3 (c) 4 (d) 5
42. If 217x + 131y = 913, 131x + 217y = 827, then x + y is (a) 5 (b) 6 (c) 7 (d) 8
43. The LCM of two prime numbers p and q (p > q) is 221. Find the value of 3p – q. (a) 4 (b) 28 (c) 38 (d) 48
44. A card is drawn from a well shuffled deck of cards. What is the probability that the card drawn is neither a king nor a queen? (a) 11/13 (b) 12/13 (c) 11/26 (d) 11/52
45. Two fair dice are rolled simultaneously. The probability that 5 will come up at least once is (a) 5/36 (b) 11/36 (c) 12/36 (d) 23/36
46. If 2 and ½ are the zeros of px 2+5x+r, then (a) p = r = 2 (b) p = r = - 2 (c) p = 2, r= -2 (d) p = -2, r= 2
47.
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