# CAT Number System Questions for Practice

Question 1:
Convert the number 1982 from base 10 to base 12. The result is
Topic: Base System

 1182
 1912
 1192
 1292

Question 2:
Let x, y and z be distinct integers. x and y are odd and positive, and z is even and positive. Which one of the following statements cannot be true?
Topic: Basics

 y(x – z)2is even
 y2(x – z) is odd
 y(x – z) is odd
 z(x – y)2is even

Question 3:
A red light flashes three times per minute and a green light flashes five times in 2 min at regular intervals.If both lights start flashing at the same time, how many times do they flash together in each hour?
Topic: HCF LCM

 30
 24
 20
 60

Question 4:
In a four-digit number, the sum of the first 2 digits is equal to that of the last 2 digits. The sum of the first and last digits is equal to the third digit. Finally, the sum of the second and fourth digits is twice the sum of the other 2 digits. What is the third digit of the number?
Topic: Digits

 5
 8
 1
 4

Question 5:
Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?
Topic: Basics

 1050
 540
 1440
 1590 