Number System Practice Problems 1 | Hamaraguru

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