MCA Entrance Previous Year Question Bank

Given $\sqrt{(224{)}_r}=(13{)}_r$, the value of radix $r$ is:

A certain street has 1000 buildings. A sign-maker is contracted to number the houses from 1 to 1000. How many zeroes will be needed?

When you reverse the digits of the number 13, the number increases by 18. How many other two-digit numbers increase by 18 when their digits are reversed ?

If all the 6’s are replaced by 9’s, then the algebraic sum of all the numbers from 1 to 100 (both inclusive), varies by

Divide Rs. 1074 (in whole Rs. having incremental amounts) into a number of bags so that I can ask for any amount between Rs. 1 and Rs. 1074 and you can give me the proper amount by selecting a certain number of these bags without opening them. What is the minimum number of bags you will require?

A teacher gave a student the task of adding $N$ natural numbers starting from 1. After a while, the student reported his result as 700. The teacher replied that his result was wrong. The student realized that he has added one number twice by mistake. Find the sum of the digits of the number which the student had added twice.

Sum of all three digit numbers (no digit being zero) having the property that all digits are perfect squares is

The remainder when $2^{31}$ is divided by $5$ is:

$(2FA0C{)}_{16}$ is equivalent to

The ratio between a two-digit number and the sum of the digits of that number is 4 : 1. If the digit in the unit’s place is 3 more than the digit in ten’s place, then the number is