51)

If two cities A and B on a map of scale 1 : 6000000 are 5 cm apart, what is the actual distance (in km) between A and B?

SSC Selection Post Matric 2022

A)

300

B)

3000

C)

30

D)

120

52)

The ratio of the number of boys and girls in a class is 3 : 5. The average score in English of all the boys and girls is 67.5. If the average score of the boys is 60, then what is the average score of the girls?

SSC Selection Post Matric 2022

A)

76

B)

72.5

C)

70.5

D)

72

53)

What is b : a, if (5a + b) : (a + b) = 7 : 5?

SSC Selection Post Matric 2022

A)

9 : 1

B)

3 : 5

C)

5 : 3

D)

1 : 9

54)

The monthly incomes of A and B are in the ratio 5 ∶ 8, A saves ₹7,400 and B saves ₹6,500 per month. If the ratio of the monthly expenditures of A and B is 1 ∶ 2, then the monthly income (in ₹) of B is:

SSC Selection Post Matric 2022

A)

₹43,500

B)

₹39,200

C)

₹33,200

D)

₹34,100

55)

A, B and C are three boxes containing marbles in the ratio 3 ∶ 5 ∶ 7 and the total number of marbles is 150. If 12 marbles are transferred from A to B and 8 marbles are transferred from B to C, then the new ratio of the marbles A ∶ B ∶ C is:

SSC Selection Post Matric 2022

A)

9 ∶ 13 ∶ 3

B)

3 ∶ 9 ∶ 13

C)

3 ∶ 13 ∶ 9

D)

13 ∶ 3 ∶ 9

56)

What is the ratio of the mean proportional between 1.9 and 17.1 to the third proportional to 1.2 and 4.2?

SSC Selection Post Matric 2022

A)

19 : 49

B)

13 : 37

C)

17 : 87

D)

11 : 47

57)

If a : b = \(2\over3\) and b : c = \(\frac{5}{8}\), then (3a + c) : (4b - c) = ?

SSC Selection Post Matric 2022

A)

3 : 4

B)

2 : 1

C)

5 : 3

D)

3 : 2

58)

A sum of Rs. x is divided between A, B and C in the ratio \({4\over5}:{2\over3}:{\frac{3}{4}}\). If the share of B is Rs. 2,600, then what is the value of x ?

SSC Selection Post Matric 2022

A)

8,645

B)

8,515

C)

8,450

D)

8,580

59)

The incomes of A and B are in the ratio 3 ∶ 7. A and B save Rs. 3,800 and Rs.12,200, respectively. If the ratio of their expenditures is 4 ∶ 9, then what is the difference (in Rs. ) between the income of A and 40% expenditure of B?

SSC Selection Post Matric 2022

A)

7,800

B)

7,500

C)

7,200

D)

8,200

60)

What X is added to each of 7, 11, 16, 21, then the numbers so obtained in this order are in proportion. What is the value of x?

SSC Selection Post Matric 2022

A)

29

B)

21

C)

24

D)

31