GATE AR 2024 Question Paper (03-Feb-2024) (Shift-1)

Question 1

If '→' denotes increasing order of intensity, then the meaning of the words [sick → infirm → moribund] is analogous to [silly → → daft]. Which one of the given options is appropriate to fill the blank?

Accepted Answer

vain

Answer

frown

Answer

fawn

Answer

vein

Question 2

The 15 parts of the given figure are to be painted such that no two adjacent parts with shared boundaries (excluding corners) have the same color. The minimum number of colors required is

Accepted Answer

4

Answer

3

Answer

5

Answer

6

Question 3

How many 4-digit positive integers divisible by 3 can be formed using only the digits {1, 3, 4, 6, 7}, such that no digit appears more than once in a number?

Accepted Answer

48

Answer

24

Answer

72

Answer

12

Question 4

The sum of the following infinite series is $2 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{8} + \frac{1}{9} + \frac{1}{16} + \frac{1}{27} + \dots$

Accepted Answer

$7/2$

Answer

$11/3$

Answer

$13/4$

Answer

$9/2$

Question 5

In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of votes cast in the election were 1,15,000, out of which 5,000 were invalid.Based on the data provided, the total number of valid votes received by the candidates B and C is

Accepted Answer

49,500

Answer

45,000

Answer

51,750

Answer

54,000