41)

What is the product of the largest and the smallest possible values of m for which a number 5m83m4m1 is divisible by 9 ?

SSC CHSL 2021

A)

16

B)

40

C)

80

D)

10

42)

If the number A9257B684 is divisible by 11, then what is the least value of A - B?

SSC CHSL 2021

A)

14

B)

0

C)

-8

D)

3

43)

If the difference between two numbers is 5 and the difference between their cubes is 1850, then the difference between their squares is:

SSC CHSL 2021

A)

5√484

B)

5√482

C)

5√485

D)

5√483

44)

The sum of two numbers is 59 and their product is 1150. Find the sum of their squares.

SSC CHSL 2021

A)

1183

B)

1178

C)

1176

D)

1181

45)

If a nine-digit number 1263487xy is divisible by both 8 and 5, then the greatest possible values of x and y, respectively, are:

SSC CHSL 2021

A)

2 and 0

B)

6 and 0

C)

2 and 5

D)

6 and 5

46)

What is the least 6-digit number that is divisible 71?

SSC CHSL 2021

A)

100039

B)

100037

C)

100041

D)

100035

47)

If a number is divisible by 624, the remainder will be 53, If the same number is divisible by 16, then the remainder will be:

SSC CHSL 2021

A)

6

B)

5

C)

7

D)

4

48)

If the number 583p2310q2 is divisible by 11, then what is the value of p × q. where p > q?

SSC CHSL 2021

A)

0

B)

4

C)

6

D)

2

49)

If the nine-digit number 23541y49x is divisible by 72, then (3x + 5y) ∶ (5x + 3y) is equal to:

SSC CHSL 2021

A)

7 ∶ 9

B)

4 ∶ 3

C)

9 ∶ 7

D)

3 ∶ 4

50)

When an integer n is divided by 6, the remainder is 5. What is the remainder if 9n is divided by 6?

SSC CHSL 2021

A)

5

B)

2

C)

4

D)

3