# Kerala PSC GK | Practice/Model Maths Questions - 6

1. Find out the value of

*x*and

*y*if

*x*+

*y*=7 and 3

*x*-2=11

[a] 4,3

[b] 5,2

[c] 3,4

[d] 2,5

2. Find the value of (√7 - √3) (√7 +√3) is:

[a] 2√3

[b] 3√7

[c] 4

[d] 3

3. The total number of prime factors in 6

^{20}x 16

^{15}x 21

^{12}

[a] 47

[b] 124

[c] 134

[d] 110

4. The value of 6

^{0.75}x 7

^{0.75}x (42)

^{0.25}

[a] 55

[b] 49

[c] 46

[d] 42

5. The average weight of 30 students of a class is 12 and the average weight of 20 students in a class is 15. What is the average of 50 students of both classes.

[a] 13

[b] 13.2

[c] 14

[d] 14.2

6. Average of 15 person is 24 years later a boy is included in to this group then average become 23 years. The age of the boy will be:

[a] 22

[b] 8

[c] 18

[d] 12

7. The average age of 24 boys and one teacher is 15 years. When the teacher's age is excluded the average decreases by one. What is the age of teacher.

[a] 39 years

[b] 38 years

[c] 40 years

[d] 36 years

8. There are 30 students in a class. One student weighing 25 kg goes away and a new student joins the class. If the average weight is then increased by 200 grams. What is the weight of new student.

[a] 32 kg

[b] 31 kg

[c] 30 kg

[d] 29 kg

9. The average weight of 10 men decrease by 3 kg when one man, who weighs 85 kg is replaced by a new man. Find the weight of the new man?

[a] 48 kg

[b] 49 kg

[c] 52 kg

[d] 55 kg

10. The average age of 29 boys in the class is 14 years. When the age of class teacher is included the average becomes 15 years. The age of the class teacher is:

[a] 44

[b] 42

[c] 46

[d] 40

Kerala PSC GK | Practice/Model Maths Questions - 6
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