CAT Number system Practice Problems Set 04

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

[1] 1182
[2] 1912
[3] 1192
[4] 1292
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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?

[1] y(x – z)²is even
[2] y²(x – z) is odd
[3] y(x – z) is odd
[4] z(x – y)²is even
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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?

[1] 30
[2] 24
[3] 20
[4] 60
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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?

[1] 5
[2] 8
[3] 1
[4] 4
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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?

[1] 1050
[2] 540
[3] 1440
[4] 1590
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