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CAT Previous Year Paper | CAT Number Theory Questions | Question 21

This olympiad-style problem is a wonderful question which is based on Number Theory. Historically, CAT Previous Year paper are known for rolling out at least one or two questions based on this topic. Solve this question to boost your confidence to crack the Quantitative Aptitude section of the CAT Question Paper.

Question 21 :The number of integers x such that 0.25 < 2x < 200, and 2x + 2 is perfectly divisible by either 3 or 4, is [TITA]


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Explanatory Answer

Method of solving this CAT Question from Number Theory
Number Theory - Finding the number of integers divisible by 3 or 4

Given 0.25 ≤ 2x
0.25 = \\frac{1}{4}) =(\\frac{1}{2}))2 = 2-2
Similarly, 26 = 64, 27 = 128, 28 > 200
Substituting the values and checking for divisibility
Number of Integers x = 5

The question is "The number of integers x such that 0.25 < 2x < 200, and 2x + 2 is perfectly divisible by either 3 or 4, is [TITA]"

Hence, the answer is 5 integers

 

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