61)

In an examination, the average marks of a student per paper were 72. If he had got 25 less marks in Mathematics and 17 more marks in Science, his average marks per paper would have been 71. How many papers were there in the examinaion?

SSC Selection Post Matric 2022

A)

10

B)

8

C)

9

D)

6

62)

If \( x ^4+{1\over x^4} = 34\) where x > 0 , then find the value of \( x +{1\over x} \) .

SSC Selection Post Matric 2022

A)

4√2

B)

4.25

C)

2√2

D)

4

63)

If \({(x+{1\over 2})^3+(3x+{2\over 3})^3+(x−{1\over 6})^3}\) = \({1 \over 12}\) \(( 9 x + 2 ) (2x+1)(6x−1)\), then what is the value of x is ?

SSC Selection Post Matric 2022

A)

\(-{1\over5}\)

B)

\(-{1\over2}\)

C)

\(-{1\over4}\)

D)

\(-{1\over3}\)

64)

If the average of 20, 25,(p + 1), (2p + 5) and (p + 11) is 22, then the value of p is :

SSC Selection Post Matric 2022

A)

8

B)

16

C)

18

D)

12

65)

The average of six consecutive odd numbers, in increasing order, is 42. If the next five consecutive odd numbers are included, then what is the average of all the numbers?

SSC Selection Post Matric 2022

A)

53

B)

49

C)

51

D)

47

66)

Eight years ago, the average age of A, B and C was 22 years. The average age of A and C after 2 years from now will be 32.5 years. What will be the age (in years) of B after 3 years from now?

SSC Selection Post Matric 2022

A)

37

B)

31

C)

39

D)

32

67)

The average weight of 54 members of a club is 67.5 kg. If 6 members of average weight 72.5 kg leave and 2 new members of average weight 62.5 kg join the club, then the average weight (in kg) of the present members of the club is:

SSC Selection Post Matric 2022

A)

67.2

B)

65.8

C)

64.5

D)

66.7

68)

There are 88 students in a class. The ratio of the number of girls and boys is 5 : 3. If the average weight of boys is 79.3 kg and that of girls 65.4 kg, then the average weight (in kg) of all the students in the class is:
(Correct to one decimal place)

SSC Selection Post Matric 2022

A)

63.8

B)

72.8

C)

70.6

D)

74.2

69)

The average of three positive numbers is x . When the average of any two of them is added to the third number, the sums obtained are 39, 45 and 48. What is the value of x ?

SSC Selection Post Matric 2022

A)

23

B)

22

C)

28

D)

24

70)

The average of some numbers is 36. If each of \(\frac{3}{4}\) of the numbers is increased by 8, and each of the remaining numbers is decreased by 10, then the average of the numbers, so obtained, is:

SSC Selection Post Matric 2022

A)

38

B)

39.5

C)

36

D)

40.5