11)

If the 5-digit number 284xy is divisible by 3 and 77, then the value of (8x - y) is:

SSC Selection Post Matric 2022

A)

9

B)

4

C)

5

D)

7

12)

If the nine-digit number 8698x138y is divisible by 72, then the value of \( \sqrt{3x + y}\) is:

SSC Selection Post Matric 2022

A)

5

B)

4

C)

6

D)

7

13)

When a number n is divided by 6, the reminder is 3. What will be the remainder when (n⁴ + n³ + n² + 5n) is divided by 6?

SSC Selection Post Matric 2022

A)

2

B)

1

C)

0

D)

3

14)

Which of the following is NOT divisible by 11?

SSC Selection Post Matric 2022

A)

7985314625

B)

8957314652

C)

8050314052

D)

9857316425

15)

How many integers between 299 and 501 are divisible by 4 or 10?

SSC Selection Post Matric 2022

A)

56

B)

72

C)

51

D)

61

16)

When (2¹⁸ - 1 ) is divided by 9, the remainder is:

SSC Selection Post Matric 2022

A)

2

B)

0

C)

8

D)

1

17)

If the 9-digit number 9843x678y is divisible by 72, then what is the value of (x² + y² + xy)?

SSC Selection Post Matric 2022

A)

29

B)

43

C)

41

D)

61

18)

If a number N is divisible by 3, then which of the following is true?

SSC Selection Post Matric 2022

A)

(N + 6) is divisible by 6

B)

(N + 2) is divisible by 3

C)

N² is divisible by 6

D)

(N + 12) is divisible by 3

19)

If the five-digit number 570xy is divisible by 231, then what is the value of (2x - y)?

SSC Selection Post Matric 2022

A)

5

B)

7

C)

6

D)

3

20)

If N = (307)³⁸ + (524)²⁰, then what is the unit digit of N?

SSC Selection Post Matric 2022

A)

6

B)

5

C)

3

D)

4