CAT Sample Questions

Quantitative Section : Quantitative Ability

Number System

121. How many different factors are there for the number 48, excluding 1 and 48?
     1. 12
     2. 4
     3. 8
     4. None of these

     Ans :C

122. What is the remainder when 9 + 9² + 9³ + .... + 9⁸ is divided by 6?
     1. 3
     2. 2
     3. 0
     4. 5

     Ans :C

123. The sum of the first 100 numbers, 1 to 100 is divisible by
     1. 2, 4 and 8
     2. 2 and 4
     3. 2 only
     4. None of these

     Ans :C

124. The sum of the first 100 numbers, 1 to 100 is divisible by
     1. 2, 4 and 8
     2. 2 and 4
     3. 2 only
     4. None of these

     Ans :C

125. For what value of 'n' will the remainder of 351ⁿ and 352ⁿ be the same when divided by 7?
     1. 2
     2. 3
     3. 6
     4. 4

     Ans :B

126. A person starts multiplying consecutive positive integers from 20. How many numbers should he multiply before the will have result that will end with 3 zeroes?
     1. 11
     2. 10
     3. 6
     4. 5

     Ans :C

127. What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm?
     1. 176
     2. 187
     3. 54043
     4. 748

     Ans :B

128. What number should be subtracted from x³ + 4x² - 7x + 12 if it is to be perfectly divisible by x + 3?
     1. 42
     2. 39
     3. 13
     4. None of these

     Ans :A

129. 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. (x-z)²y is even
     2. (x-z)y² is odd
     3. (x-z)y is odd
     4. (x-y)²z is even

     Ans :A

130. 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

     Ans :D