41)

If a 10-digit number 54726x79y6 is divisible by 72, then what is the value of 5x - 3y, for the least value of y?

SSC CGL 2022

A)

16

B)

17

C)

23

D)

19

42)

LCM and HCF of two numbers are 90 and 15, respectively. If the sum of the two numbers is 75, then find the greater number.

SSC CGL 2022

A)

60

B)

45

C)

75

D)

90

43)

If a nine-digit number 485x3678y is divisible by 72, then for the smallest value of x, the value of (2y - 3x) is:

SSC CGL 2022

A)

9

B)

11

C)

6

D)

8

44)

The HCF of two numbers is 12. Which one of the following can never be their LCM?

SSC CGL 2022

A)

90

B)

60

C)

72

D)

84

45)

What is the ratio between the HCF and LCM of the numbers whose LCM is 48 and the product of the numbers is 384?

SSC CGL 2022

A)

1 ∶ 3

B)

1 ∶ 6

C)

1 ∶ 4

D)

2 ∶ 5

46)

What is the remainder when 8127 is divided by 8?

SSC CGL 2022

A)

4

B)

7

C)

5

D)

6

47)

Two numbers are in the ratio of 6 ∶ 5. If their HCF is 3, then what is the LCM of the two numbers?

SSC CGL 2022

A)

90

B)

110

C)

64

D)

80

48)

What will be the remainder when 27²⁷ + 27 is divided by 28?

SSC CGL 2022

A)

25

B)

27

C)

28

D)

26

49)

If the 5-digit number 750PQ is divisible by 3, 7 and 11, then what is the value of P + 2Q?

SSC CGL 2022

A)

18

B)

15

C)

17

D)

16

50)

If the nine-digit number 3422213AB is divisible by 99, then what is the value of 2A + B?

SSC CGL 2022

A)

10

B)

12

C)

11

D)

13