Digit Based Problems || Quantitative Aptitude || CAT 2021 || 22 June

The greatest perfect square number of 6 digits is

What is the place value of 4 in 9453?

Find the difference between the smallest number of five digits and greatest number of four digits?

The sum of the digits of a two-digit number is 12. If 54 is added to the number, the new number obtained is a number formed by interchange of the digits. Find the original number.

A two digit number is four times the sum of its digits. If 27 is added then it becomes seven times the sum of its digits. The two digit number is

(A) 24

(B) 12

(C) 48

(D) 36

How many times does the number 3 occur in unit’s place for numbers ranging from 1 to 100?

(A) 20

(B) 11

(C) 10

(D) 19

A number consists of two digits such that the digit in the ten's place is less by 7 than the digit at units place. Four times the number added to 5/9 times the number obtained by reversing the digits and the result so obtained is 117. Then, find the sum of the digit of the original number.

In a three digits number, the digit at the hundreds place is half of the digit at unit’s place and the sum of all the three digits of the numbers is 14. If the digits are reversed, the number is increased by 396. Find the number.