NUMBER SYSTEM

NUMBER SYSTEM

1)If in a three-digit number the last two digits’ places are interchanged, a new number is formed which is greater than the original number by 45. What is the difference between the last two digits of that number?

(a) 9
(b) 8
(c) 6
(d) 5

2)If sum of the two number is 80 and ratio is 3 : 5, then find numbers.

(a) 50, 80
(b) 60, 20
(c) 20, 60
(d) 30, 50

3)The real number to be added to 13851 to get a number which is divisible by 87 is

(a) 18
(b) 43
(c) 54
(d) 69

4)The least number that must be subtracted from 1294 so that the remainder when divided by 9, 11, 13 will leave in each case the same remainder 6 is:

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

5)Find the least number which must be subtracted from 18265 to make it a perfect square. 

(a) 30
(b) 38
(c) 40
(d) 45 

6) Find the no. of zeros in expression : 1 × 2 × 3 × 4 .......... × 500

7) Find the no. of zeros in expression : 2 × 4 × 6 × 8 .......... × 250

8) Find the no. of zeroes in the product of (5 × 10 × 25 × 40 × 50 × 55 × 65 × 125 × 80)

9) If 100! divisible by 3^n  then find the maximum value of n.

10) If 122! is divisible by 6^n  then find the maximum value of n.

11) A number of friends decided to go on a picnic and planned to spend Rs. 108 on eatables. Three of them however did not turn up. As a
consequence each one of the remaining had to contribute Rs.3 extra. The number of them who attended the picnic was :

12) Each member of a picnic party contributed twice as many rupees as the total number of members and the total collection was Rs.3042.
The number of members present in the party was :

13)A number consists of two digits such that the digit in the ten's place is less by 2 than the digit in the unit's place. Three times the number added to  6/7 times the number obtained by reversing the digits equals 108. The sum of digits in the number is: