CAT Questions – Numbers (factorization) with VIDEO Solutions

QUESTION 1
If all the factors of 240 are written in increasing order, the factor which occupies the 16th position is?
  1. 120
  2. 48
  3. 60
  4. 80
Option: 2
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QUESTION 2
abc is the smallest three digit positive integer with six odd factors and twelve even factors (where a, b, and c are digits). What is the value of b?
Answer: 8
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QUESTION 3
How many factors of 840 are multiples of 5 but not of 8?
Answer: 12
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QUESTION 4
How many positive perfect square less than \({10^6}\) are multiples of 24?
Answer: 83
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QUESTION 5
A certain integer N has exactly eight factors, counting itself and 1. The numbers 35 and 77 are two of the factors. What is the sum of the digits of N?
  1. 9
  2. 10
  3. 16
  4. 18
Option: 3
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