8TH MATHS WORD PROBLEMS 1

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📝 Maths MCQ Quiz

1. On subtracting 8 from one-fourth of a number, the result is 12. What is the number?

(a) 60 (b) 70 (c) 80 (d) 90

Correct Answer: (c) 80

Let the number be x.

x/4 − 8 = 12
x/4 = 20
x = 80

Therefore, the required number is 80.

2. In a class of 60 students, 35 students can speak English and 45 students Hindi. If every student speaks at least one language, how many students can speak both languages?

(a) 15 (b) 20 (c) 25 (d) 30

Correct Answer: (b) 20

Using the formula:

Both = English + Hindi − Total
= 35 + 45 − 60
= 20

Therefore, 20 students can speak both languages.

3. In a group of 50 persons, 20 drink tea but not coffee and 15 drink coffee but not tea. If everyone drinks at least one of the drinks, how many persons drink tea?

(a) 30 (b) 35 (c) 25 (d) 20

Correct Answer: (b) 35

Persons who do not drink tea = 15
Persons who drink tea = 50 − 15
= 35

Therefore, 35 persons drink tea.

4. A number increased by 25 gives 90. What is the number?

(a) 55 (b) 60 (c) 65 (d) 70

Correct Answer: (c) 65

Let the number be x.

x + 25 = 90
x = 90 − 25
x = 65

Therefore, the number is 65.

5. The sum of two consecutive numbers is 41. What is the smaller number?

(a) 19 (b) 20 (c) 21 (d) 22

Correct Answer: (b) 20

Let smaller number = x
Next number = x + 1

x + (x + 1) = 41
2x + 1 = 41
2x = 40
x = 20

Therefore, the smaller number is 20.

6. On adding 12 to half of a number, the result is 30. What is the number?

(a) 24 (b) 36 (c) 40 (d) 48

Correct Answer: (b) 36

Let the number be x.

x/2 + 12 = 30
x/2 = 30 − 12
x/2 = 18
x = 36

Therefore, the required number is 36.

7. In a class of 50 students, 28 students like mathematics and 32 students like science. If every student likes at least one of the two subjects, how many students like both subjects?

(a) 10 (b) 12 (c) 15 (d) 18

Correct Answer: (a) 10

Using the formula:

Both = Math + Science − Total
= 28 + 32 − 50
= 60 − 50
= 10

Therefore, 10 students like both subjects.

8. In a group of 40 people, 18 play cricket only and 12 play football only. If 8 people play both games, how many people play cricket in total?

(a) 22 (b) 26 (c) 30 (d) 34

Correct Answer: (b) 26

Total cricket players = Cricket only + Both
= 18 + 8
= 26

Therefore, 26 people play cricket.

9. A number decreased by 18 gives 54. What is the number?

(a) 62 (b) 68 (c) 72 (d) 76

Correct Answer: (c) 72

Let the number be x.

x − 18 = 54
x = 54 + 18
x = 72

Therefore, the number is 72.

10. The sum of three consecutive even numbers is 72. What is the smallest number?

(a) 20 (b) 22 (c) 24 (d) 26

Correct Answer: (b) 22

Let the numbers be x, x + 2, and x + 4.

x + (x + 2) + (x + 4) = 72
3x + 6 = 72
3x = 66
x = 22

Therefore, the smallest number is 22.