41)

​There are 90 students in a hostel. Due to new admissions, 30 new students join the mess and the daily expenses of the mess increases by Rs. 560. while the average expenditure per head diminishes by Rs. 10, What was the original daily expenditure (in Rs.) of the mess?

SSC CHSL 2021

A)

3,680

B)

4,980

C)

5,280

D)

4,280

42)

The average of the squares of four consecutive odd natural numbers is 201. The average of 7 times of the largest number and 3 times of the smallest number is:

SSC CHSL 2021

A)

76

B)

78

C)

66

D)

72

43)

The average of 42 numbers is 37. The average of the first 26 numbers is 32, and the average of the last 17 numbers is 44. The 26^th number is:

SSC CHSL 2021

A)

26

B)

25

C)

28

D)

27

44)

The average of 29 number is 38. The average of the first 19 numbers is 34 and that of the last 9 numbers is 48. The 20^th number is.

SSC CHSL 2021

A)

24

B)

28

C)

22

D)

26

45)

There are 3 groups of persons - male, female and children. There are 20 males and the number of females and children taken together is 4 more than that of the males. The average weight of males is 54 kg, that of females is 49 kg and that of children is 30 kg. If the average weight of the whole group is 48.25 kg, then what is the difference between the number of females and the number of children?

SSC CHSL 2021

A)

10

B)

17

C)

7

D)

14

46)

x, y and z are three positive numbers such that y is \(4\over5\) times of x and z is \(5\over8\) times of y. If the average of reciprocals of the numbers x, y and z is \( \frac{17}{240}\), then the average of 3 times of x and 5 times of y will be:

SSC CHSL 2021

A)

60

B)

70

C)

45

D)

40

47)

In a class of 80 students (boys and girls) there are 60% girls. The average weight of the boys is 58 kg and that of the girls is 52 kg. What is the average weight (in kg) of the whole class?

SSC CHSL 2021

A)

55

B)

53.6

C)

54.4

D)

56.2

48)

A batsman in his 13^th inning makes a score of 97 runs, thereby increasing his average score by 5. What is his average score after the 13^th inning?

SSC CHSL 2021

A)

77

B)

67

C)

37

D)

57

49)

A. B and C are three positive numbers such that the average of three-fifth of A and 30% of B is 13.5, and the average of \(\frac{3}{8}\) times of B and 25% of C is 15. If A is equal to \(\frac{5}{12}\) times of C, then the sum of all three numbers A, B and C is:

SSC CHSL 2021

A)

120

B)

145

C)

135

D)

125

50)

The average age of 35 persons is 40 years. 5 new persons with an average age of 35 years joined them. The average age of all the persons is:

SSC CHSL 2021

A)

\(39\frac{7}{8} \) years

B)

\(39\frac{3}{8}\) years

C)

\(39\frac{1}{8}\) years

D)

\(39\frac{5}{8}\) years