Number System

1.  
When
‘n’ is divisible by 5 the remainder when n^{2 .} What is the remainder
when n²  is divided by 5?

a)   2             b)
3             c)
1             d)
4

2.  
The
remainder when 3²¹ is divided by 5 is

a)   1             b)
2             c)
3             d)
4

3.  
(4⁶¹
+ 4⁶² +4⁶³) is divisible by

a)   3             b)
11           c)
13           d)
17

4.  
The
product of all the prime numbers between 80 and 90 is

a)   83           b)
89           c)
7387                d)
598347

5.  
I
have x marbles. My elder brother has 3 more than mine, While my younger brother
has 3 less than mine .If the total number of marbles is 15, the number of
marbles that I have is

a)   3                       b) 5             c) 8             d) 7

6.  
Weight
of a bucket when filled fully with water is 17 kg. If the weight of the bucket
when half filled with water is 13.5 kg, what is the weight of empty bucket ?

a)   12
kg                b) 8 kg                 c) 10 kg               d) 7 kg

7.  
The
least number that should be added to 2055, so that the sum is exactly divisible
by 27 is

a)   28            b) 24          c) 27           d) 31

8.  
The
greater of the two numbers whose product is 900 and sum exceeds their
difference by 30 is

a)   60            b) 75          c) 90           d) 100

9.  
How
many positive factors of 288 are there ?

a)   18            b) 15          c) 10           d) 16