GATE 2013 CS (CS1) – Question 7

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice

A two-digit integer is chosen uniformly from all two-digit integers between 1 and 100. What is the probability it is not divisible by seven?

$13/90$
$12/90$
$78/90$
$77/90$

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Show answer and explanation

Correct answer: (D) $77/90$

Explanation

There are ninety integers 10 through 99. Multiples of seven run from 14=2×7 to 98=14×7, thirteen numbers. Thus seventy-seven are not divisible by seven, and the probability is 77/90, D.

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