GATE Aptitude Questions MCQ

1. Two identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each dice is

1. 1/36
2. 1/12
3. 1/8
4. 1/4

2. In an equilateral triangle PQR, side PQ is divided into four equal parts, side QR is divided into six equal parts and side PR is divided into eight equal parts. The length of each subdivided part in cm is an integer. The minimum area of the triangle PQR possible, in cm², is

1. 18
2. 24
3. $48\sqrt{3}$
4. $144\sqrt{3}$

3. For a regular polygon having 10 sides, the interior angle between the sides of the polygon, in degrees, is

1. 396
2. 324
3. 216
4. 144

4. Which one of the following numbers is exactly divisible by (11¹³ + 1)?

1. 11²⁶ + 1
2. 11³³ + 1
3. 11³⁹ – 1
4. 11⁵² – 1