CBSE Class 8 Mathematics Linear Equations MCQs

Question: A student has to secure 40% marks to pass. He got 40 marks and failed by 40 marks. The maximum number of marks is
a) 200
b) 160
c) 180
d) 320

Put a tick mark(√) on the correct answer :

Question. If (x/3) + 1 = ( 7/15) then the value of ‘x’ is
(i) 22/5
(ii) —8/5
(iii) 7/5
(iv) 3

Question. What is the degree of the equation x² + 2x – 3 = x² + 7x -- 23
(i) zero
(ii) one
(iii) two
(iv) three

Question. What is the length of the rectangle whose breadth is 10 cm & perimeter 60 cm.
(i) 15cm
(ii) 16cm
(iii) 20cm
(iv) 25cm

Question. What should be added to –3/5 to get – 7/5
(i) 4/5
(ii) 1
(iii) –4/5
(iv) 2

Question. If x % of 50 is 10 , then the value of ‘x’ is
(i) 30
(ii) 1 5
(iii) 10
(iv) 20

Question. Two numbers are in the ratio 3: 5. If their sum is 64 , then the numbers are
(i) 24 & 40
(ii) 1 5& 24
(iii) 10 & 24
(iv) 20 & 24

Question. The sum of the ages of three persons is 100 years. What will be the sum of their ages after 5 years.
(i) 100yrs.
(ii) 11 5 yrs.
(iii) 300 yrs.
(iv) 305yrs.

Question. The sum of three consecutive multiples of ‘5’ is 45. Which is the smallest of the three multiples.
(i) 10
(ii) 1 5
(iii) 20
(iv) 25

Question. If z/(z + 15) = 4/9 , then the value of ‘z’ is
(i) 11
(ii) 1 2
(iii) 13
(iv) 14

Question. Sum of two numbers is 95.If one exceeds the other by 15 , then the numbers are
(i) 25 & 40
(ii) 50 & 65
(iii) 30 & 45
(iv) 40 & 55 

1. A student has to secure 40% marks to pass. He got 40 marks and failed by 40 marks. The maximum number of marks is
(A) 160
(B) 180
(C) 200
(D) 320

2. If the sum of three consecutive even numbers is 234, then the smallest among them is
(A) 76
(B) 78
(C) 80
(D) none

3. Two angles in a triangle are in the ratio 4: 5. If the sum of these angles is equal to the third aJlglc, the third angle is
(A) 180°
(B) 40°
(C) 50°
(D) 90°

4. The ratio of number of males to number of females in a club are 7 : 4. If there are 84 males in the club, the total number of members in the club are
(A) 16
(B) 132
(C) 136
(D) 148

5. The prices of a scooter and cycle are in in the ratio 9 : 5. If a scooter costs Rs. 4200 more than a cycle. The price of cycle is
(A) Rs. 5250
(B) Rs. 5200
(C)Rs.5000
(D)Rs.4800

6. The ratio of two numbers is 3: 8 and their difference is 115. The largest number is
(A) 69
(B) 115
(C) 184
(D) 230

7. A number 351 is divided into two parts in the ratio 2 : 7. Find the product of the numbers.
(A) 20294
(B) 21294
(C) 25295
(D) 31294

8. A boat goes downstream and covers the distance between two ports in 4 hrs while it covers the same distance upstream in 5 hrs. If the speed of the stream is 2 kmph, the speed of the boat in still water is
(A) 15 km/hr
(B) 20 km/hr
(C) 24 km/hr
(D) 18 km/hr

9. If 2/3 of a number if 20 less than the original number, then the number is
(A) 60
(B) 40
(C) 80
(D) 120

10. If 10 is added to four timesr a certain number the result is 5 less than five times the number. The number is
(A) 10
(B) 15
(C) 20
(D) 25

11. The solution of √3x = 2√3 + x
(a) 3 + √3
(b) 2√3/√3-1
(c) √3/√3-1
(d) None

12. If a number increased by 8% of itself gives 135, then that number is
(A) 112
(B) 100
(C) 125
(D) none

13. A number consists of two digits whose sum is 8. If 18 is added to the number, its digits are interchanged. Find the number
(A) 53
(B) 35
(C) 92
(D) 63

14. How much pure alcohol should be added to 400 ml of a 15% to make its strength 32%?
(A) 50 ml
(B) 75 ml
(C) 100 ml
(D) 150 ml

15. By selling a bicycle for Rs.1885, a man gains 16%. At what price did he buy the bicycle?
(A) Rs.1625
(B) Rs.1825
(C) Rs.2000
(D) None

16. X and Y together can do a peice of work in 8 days, which X alone can do in 12 days. In how many days can Y do the same work alone?
(A) 12 days
(B) 24 days
(C) 36 days
(D) 16 days

17. A man can row at 8 kmph in still water. If the river is running at 2 kmph, it takes him 48 minutes to row to a place and back. How far is the place?
(A) 1 km
(B) 2 km
(C) 3 km
(D) 4 km

18. The solution of (x + 4)3 – (x – 5)2 = 9 is
(A) 1
(B) 2
(C) 3
(D) 4

19. If the angles of a triangle are in the ratio 2 : 3 : 4, then the difference between the greatest and smallest angles is
(A) 10°
(B) 20°
(C) 30°
(D) 40°

20. The consecutive multiples of 3 whose sum is 51 are
(A) 24, 27
(B) 20, 31
(C) 40, 11
(D) 25, 26

21. If the digit 1 is placed after a two digit number whose tens digit is ‘t’ and units digit is ‘u’, the new number is
(A) 10t + u + 1
(B) 100t + 10u + 1
(C) t + u + 1
(D) none

22. The solution of x - 5 / 2, - x - 3 / 5 = 1/2 is
(A) x = 7
(B) x = 9
(C) x = 8
(D) x = 5

23. The solution of 2x - 1 / 3x - 1 = 3/2 is
(A) x = 1
(B) x = –1
(C) x = 2
(D) x = –3

24. In an examination a student was asked to find 3/14th of a certain number. By mistake, he found 3/4 or it. His answer was 150 more than the correct answer. The number given him is
(A) 290
(B) 280
(C) 240
(D) 180

25. 2/3rd of a number when multiplied by 3/4th of the same number make 338. The number is
(A) 18
(B) 24
(C) 36
(D) 26

26. A man is 5 years older than his wife and the wife is now thrice as old as their daughter, who is 10 years old. How old was the man when his daughter was born?
(A) 20 years
(B) 23 years
(C) 25 years
(D) 30 years

27. Twenty years ago, my age was 1/3rd of what it is now. My present age is
(A) 66 years
(B) 30 years
(C) 33 years
(D) 36 years

29. There were only two candidates in an election. One got 62% votes and was elected by a margin of
144 votes. The total number of voters were
(A) 500
(B) 600
(C) 700
(D) 800

30. When 75% of a number is added to 75 the result is the number again. The number is
(A) 150
(B) 300
(C) 100
(D) 450

31. Twenty years ago, my age was 1/3rd of what is it now. My present age is
(A) 66 years
(B) 30 years
(C) 33 years
(D) 36 years

32. If the angles of a triangle are in the ratio 2 : 3 : 4, then the difference between the greatest and smallest angles is
(A) 10°
(B) 20°
(C) 30°
(D) 40°

33. A 100 litres solution of acid and water contains 20 liters of acid. How much water must be added to make the solution 16% acidic?
(A) 20 litres
(B) 25 litres
(C) 30 litres
(D) 40 litres

34. The length of a rectangle is 6m less than the three times its breadth. The length and breadth of the rectangle if its perimeter is 148 m, is
(A) 54 m, 20 m
(C) 50 m, 30 m
(C) 40 m, 25 m
(D) 30 m, 20 m

35. By selling a bicycle for Rs. 1885, a man gains 16%. At what price did he buy the bicycle?
(A) Rs. 1625
(B) Rs. 1825
(C) Rs. 2000
(D) Rs. 1600

36. A boat goes downstream and covers the distance between two ports in 4 hours while it covers the same distance upstream in 5 hrs. If the speed of the stream is 2 kmph, then speed of the boat in still water is
(A) 15 km/hr
(B) 20 km/hr
(C) 24 km/hr
(D) 18 km/hr

37. Fifteen years from now Ravi’s age will be four times of age 15 years ago from now. The present age is
(A) 40 years
(B) 10 years
(C) 25 years
(D) 75 years

38. Two years ago, Dilip was three times as old as his son and two years hence, twice his age will be equal to five times that of his son. Then the present age of Dilip is
(A) 14 years
(B) 38 years
(C) 32 years
(D) 34 years

39. In a school 1/5th of the girls and 1/8th of the boys took part in a school camp. The fraction of the total strength took part in the camp is
(A) 2/13
(B) 2/7
(C) 3/11 
(D) 2/9

40. A man is 5 years older than his wife and the wife is now thrice as old as their daughter, who is 10 years old. How old was the man when his daughter was born?
(A) 20 years
(B) 23 years
(C) 25 years
(D) 30 years

41. From a group of boys and girls, 15 girls are left. There are then left two boys for each girl. After this 45 boys are left. There are then 5 girls for each boy. The number of girls in the beginning was
(A) 40
(B) 43
(C) 29
(D) 50

42. A student has to secure 40% marks to pass. He got 40 marks and failed by 40 marks. The maximum number of marks is
(A) 160
(B) 180
(C) 200
(D) 320

43. Division of 64 between A and B such that 3 times A’s share is greater than 4 times B’s share by 10 is
(A) 38, 26
(B) 32, 25
(C) 34, 22
(D) 35, 20

44. When 75% of a number is added to 75, then resultant number is the original number. The number is
(A) 150
(B) 300
(C) 100
(D) 450

45. A car leaves Jaipur at 11 am travelling 5 km/hr. If second car leaves Jaipur an hour later and over takes the first car at 5 pm then speed of second car is
(A) 60 km/hr
(B) 40 km/hr
(C) 30 km/hr
(D) 20 km/hr

46. The number which should be added to twice the rational number - (3/7) to get 7/3 is
(A) 105/21
(B) 100/21
(C) 107/21
(D) -(89/21)

47. Three fourths of a number is 60 more than its one-third. The number is
(A) 108
(B) 84
(C) 144
(D) 116

48. The sum of a number n and its reciprocal is 18. Then the equation showing this relation is
(A) n + 1/n = 18
(B) n - 18 = 1/n
(C) n+1/n = 18
(D) n + 18 = 1/n

49. The four consecutive numbers whose sum is 74 are
(A) 17, 18, 19, 20
(B) 1, 2, 3, 4
(C) 15, 16, 17, 18
(D) 10, 11, 12, 13

50. The value of x when α = 2x - 1 / 3, b = 7 - 3x / 4 and a - b / 5 = 1 is
(A) 4
(B) 5
(C) 3
(D) 2

51. 2/3rd of a number when multiplied by 3/3 of the same number make 338. The number is
(A) 18
(B) 24
(C) 36
(D) 26

52. The solution of √3x = 2√3 + x is
(A) 3 + √3
(B) 2√3/√3+1
(C) √3/√3-1
(D) 3 - √3

53. The value of x for which x + 6 / 4 + x - 3 / 5 = 5x - 4 / 8 is
(A) 2
(B) 4
(C) 6
(D) 8

54. The two consecutive multiples of 3 whose sum is 51 are
(A) 24, 27
(B) 20, 31
(C) 40, 11
(D) 25, 26

55. The solution of x-6/2 - x-3/5 = 1/2 is
(A) x = 7
(B) x = 9
(C) x = 8
(D) x = 5

56. Solution of the equation 6(3x + 2) – 5(6x – 1) = 6(x– 3) – 5(7x–6) + 12x is
(A) – 1
(B) 1
(C) 0
(D) 2

57. A number 351 is divided into two parts in the ratio 2 : 7. The product of the numbers is
(A) 20294
(B) 21294
(C) 25295
(D) 31294

58. If (1/2 + 1/2 + 1/2 +....... up to is times) + (5/2 + 5/2 + 5/2 + ........ up tp (x - times ) = (5/2)R then the value n ∈ N such that it is least positive integer
(A) 4
(B) 3
(C) 6
(D) 5

59. If 2/2rd of a number is 20 less than the original number, then the number is
(A) 60
(B) 40
(C) 80
(D) 120

60. The ratio of two numbers is 3 : 8 and their difference is 115. The largest number is
(A) 69
(B) 115
(C) 184
(D) 230

61. The perimeter of a rectangle is numerically equal to the area of rectangle. If width of rectangle is cm, then its length is
(A) (11/3)cm
(B) (22/3)cm
(C) 11 cm
(D) 10 cm

62. If 3(1/x) x 3(3/4) = 12(1/2 then the value 
(A) 1
(B) 1/3
(C) 2
(D) 3

63. The sum of two numbers is 15 and the difference of their squares is 15. The difference of the numbers is
(A) 0
(B) 1
(C) 4
(D) 6

64. The solution of (x + 4)2 – (x–5)2 = 9 is
(A) 1
(B) 2
(C) 3
(D) 4

65. The value of x for which 2x - 3 / 3x + 2 = -2/3 is
(A) 5/10
(B) 5/11
(C) 11/5
(D) 5/12

66. A man can row at 8 kmph in still water. If the river is running at 2 kmph, it takes him 48 minutes to row to a place and back. How far is the place?
(A) 1 km
(B) 2 km
(C) 3 km
(D) 4 km

67. A number consists of two digits whose sum is 8. If 18 is added to the number, its digits are interchanged. The number is
(A) 53
(B) 35
(C) 92
(D) 63

68. Ram has Rs. 27 in the form of fifty paise and twenty five paise coins. He has twice as many twenty-five paise coins as he has fifty paise coins. The number of coins of each kind are
(A) 22 and 50
(B) 27 and 54
(C) 20 and 50
(D) 30 and 40

69. There were only two candidates in an election. One got 62% votes and was elected by a margin of 144 votes. The total number of voters were
(A) 500
(B) 600
(C) 700
(D) 800

70. The age of a man is same as his wife’s age with the digits reversed. Then sum of there ages is 99 and the man is 9 years older than his wife. How old is the man?
(A) 50
(B) 49
(C) 54
(D) 44

71. Two angles in a triangle are in the ratio 4 : 5. If the sum of these angles is equal to the third angle, then third angle is
(A) 180°
(B) 40°
(C) 50°
(D) 90°

72. If the digit 1 is placed after a two digit number whose tens digit is t and units digit is u, the new number is
(A) 10 t + u + 1
(B) 100 t + 10 u + 1
(C) t + u + 1
(D) t + u – 1

73. Raman has 3 times as many two rupee coins as he has five rupee coins. If he has in all a sum of Rs. 77, how many coins of each denomination does he has?
(A) 7 two rupee coins and 21 five rupee coins
(B) 21 two rupee coins and 7 five rupee coins
(C) 11 two rupee coins and 11 five rupee coins
(D) 16 two rupee coins and 9 five rupee coins

74. If a number is increased by 8 % of itself gives 135, then that number is
(A) 112
(B) 100
(C) 125
(D) 50

75. The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to its denominator, the new number becomes 1/5. The original number is
(A) - (5/8)
(B) 5/8
(C) 3/8
(D) -(3/8)

76. How much pure alcohol should be added to 400 ml of a 15% strength to make its strength 32%?
(A) 50 ml
(B) 75 ml
(C) 100 ml
(D) 150 ml

77. In an examination a student was asked to find 3/14th of a certain number. By mistake, he found 3/4 of it. His answer was 150 more than the correct answer. The number given to him is
(A) 290
(B) 280
(C) 240
(D) 180

78. The numerator of a rational number is less than its denominator by 3. If the numerator becomes three times and denominator is increased by 20, the new number becomes 1/8. The original number is
(A) 1/2
(B) 1/3
(C) 1/4
(D) 1

79. The sum of the two number is 11 and their product is 30, then the numbers are
(A) 8, 3
(B) 9, 2
(C) 7, 4
(D) 6, 5

80. If one number is thrice the other and their sum is 20, then the numbers are
(A) 5, 15
(B) 4, 12
(C) 3, 9
(D) None of these

81. The distance between two stations is 340 km. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than that of other by 5 km/ hr. If the distance between the two trains after 2 hours of their start is 30 km., the speed of each train is
(A) 75 kmph, 80 kmph
(B) 60 kmph, 65 kmph
(C) 80 kmph, 85 kmph
(D) None of these

82. A streamer goes downstream and covers the distance between two ports in 4 hours while it covers the same distance upstream in 5 hours. If the speed of the stream is 2 km. per hour, then the speed of the streamer in still water is
(A) 20 km/hr
(B) 19 km/hr
(C) 18 km/hr
(D) 19.5 km/hr

83. The sum of two numbers is 2490 and if 6.5% of one number is equal to 8.5% of the other, then numbers are
(A) 1414, 1076
(B) 1411, 1097
(C) 1412, 1078
(D) None of these

84. There prizes are to be distributed in a quiz-contest. The value of the second prize is five-sixth of the value of the first price and the value of the third prize is four-fifth of that of the second prize. If the total value of the three prizes is Rs. 150, then the value of each price is respectively
(A) Rs. 60, Rs. 40, Rs. 50
(B) Rs. 55, Rs. 45, Rs. 50
(C) Rs. 50, Rs. 40, Rs. 60
(D) Rs. 60, Rs. 50, Rs. 40

85. Two planes start from a city and fly in opposite directions, one averagin a speed of 40 km/hr greater than the others. If they are 3400 km. apart after 5 hours, the average speeds respectively are
(A) 330, 370 kmph
(B) 320, 360 kmph
(C) 250, 290 kmph
(D) 300, 340 kmph