11)

The remainder when 72 × 73 × 78 × 76 is divided by 35 is:

SSC CPO 2020

A)

12

B)

22

C)

8

D)

15

12)

The HCF of two numbers is 29, and the other two factors of their LCM are 15 and 13. The larger of the two number is:

SSC CPO 2020

A)

377

B)

464

C)

406

D)

435

13)

What is the least number of soldiers that can be drawn up in troops of 10, 12, 15, 18 and 20 soldiers, and also in the form of a solid square?

SSC CPO 2020

A)

625

B)

400

C)

180

D)

900

14)

When a number is successively divided by 3, 4 and 7, the remainders obtained are 2, 3 and 5, respectively. What will be the remainder when 84 divides the same number?

SSC CPO 2020

A)

30

B)

71

C)

53

D)

48

15)

How many numbers between 400 and 700 are divisible by 5, 6 and 7?

SSC CPO 2020

A)

20

B)

10

C)

2

D)

5

16)

Two numbers are in the ratio 7 : 11. If their HCF is 28, then sum of the two numbers is:

SSC CPO 2020

A)

112

B)

308

C)

504

D)

196

17)

If a nine-digit number 785x3678y is divisible by 72, then the value of (x + y) is:

SSC CPO 2020

A)

5

B)

12

C)

10

D)

20

18)

If 1433 × 1433 × 1422 × 1425 is divided by 10, what is the remainder ?

SSC CPO 2020

A)

9

B)

8

C)

3

D)

0

19)

What is the sum of the digits of the least number which when divided by 15, 18 and 36 leaves the same remainder 9 in each case and is divisible by 11 ?

SSC CPO 2020

A)

17

B)

15

C)

18

D)

16

20)

How many numbers between 300 and 700 are divisible by 5, 6 and 8?

SSC CPO 2020

A)

3

B)

2

C)

20

D)

5