# Number System Practice Problems 1 | Hamaraguru

1. If a & b are odd numbers, then which of the following is even?

a) a + b + ab

b) a + b − 1

c) a + b + 1

d) a + b + 2ab

2. If a & b are two odd positive integers then by which of the following integers is (a^4 − b^4) always divisible?

a) 3

b) 6

c) 8

d) 12

3. Convert the following decimal values in fractions

a) 0.4747…….

b) 0.5353……..

c) 0.512512…….

d) 0.4232323………

e) 0.5271271271……….

f) 4.7121212……….

4. Find the total no of factors of 180.

a) 4

b) 18

c) 8

d) 9

5. Find the total number of even factors of 120.

a) 12

b) 16

c) 8

d) 18

6. How many odd factors do 540 have?

a) 4

b) 8

c) 12

d) 20

7. The total number of prime factors of 240 are

a) 2

b) 3

c) 4

d) 5

8. How many factors of 480 are composite?

a) 3

b) 24

c) 21

d) 20

9. 360 have ‘x’ factors, which are divisible by 4. Find the value of ‘x.’

a) 12

b) 6

c) 18

d) 9

10. Find the smallest number to be multiplied with 882 which gives a perfect square.

a) 7

b) 2

c) 4

d) 14

1.d

2.c

3.

a. 47/99

b. 53/99

c. 512/999

d. 419/990

e. 39/74

f. 311/66

4.b

5.a

6.d

7.b

8.d

9.a

10.b

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