GATE XH-C5 2024 Question Paper (04-Feb-2024) (Shift-1)

Question 1

If '→' denotes increasing order of intensity, then the meaning of the words [simmer → seethe → smolder] is analogous to [break → raze ________]. Which one of the given options is appropriate to fill the blank?

Accepted Answer

obliterate

Answer

obfuscate

Answer

fracture

Answer

fissure

Question 2

In a locality, the houses are numbered in the following way: The house-numbers on one side of a road are consecutive odd integers starting from 301, while the house-numbers on the other side of the road are consecutive even numbers starting from 302. The total number of houses is the same on both sides of the road. If the difference of the sum of the house-numbers between the two sides of the road is 27, then the number of houses on each side of the road is

Accepted Answer

27

Answer

52

Answer

54

Answer

26

Question 3

For positive integers $p$ and $q$, with $\frac{p}{q} 
eq 1$, $(\frac{p}{q})^{\frac{p}{q}} = p^{(\frac{p}{q}-1)}$. Then,

Accepted Answer

$q^p = p^q$

Answer

$q^p = p^{2q}$

Answer

$\sqrt{q} = \sqrt{p}$

Answer

$\sqrt[p]{q} = \sqrt[q]{p}$

Question 4

Which one of the given options is a possible value of $x$ in the following sequence? 3, 7, 15, X, 63, 127, 255

Accepted Answer

31

Answer

35

Answer

40

Answer

45

Question 5

On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?

Accepted Answer

50

Answer

51

Answer

49

Answer

55