GATE AE 2024 Question Paper (10-Feb-2024) Shift 1

Question 1

For positive non-zero real variables $p$ and $q$, if $\log (p^2 + q^2) = \log p + \log q + 2 \log 3$, then, the value of $\frac{p^4+q^4}{p^2q^2}$ is

Accepted Answer

79

Answer

81

Answer

9

Answer

83

Question 2

The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is

Accepted Answer

10%

Answer

21%

Answer

14$\frac{2}{7}$%

Answer

30%

Question 3

Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 The median of the sample is

Accepted Answer

13.5

Answer

14

Answer

11

Answer

18.7

Question 4

If two distict non-zero real variables $x$ and $y$ are such that $(x + y)$ is proportional to $(x - y)$, then the value of $\frac{x}{y}$

Accepted Answer

is a constant

Answer

depends on $xy$

Answer

depends on $x$ and not on $y$

Answer

depends only on $y$ and not on $x$

Question 5

If '→' denotes increasing order of intensity, then the meaning of the words [dry → arid → parched] is analogous to [diet → fast → _________]. Which one of the given options is appropriate to fill the blank?

Accepted Answer

starve

Answer

reject

Answer

feast

Answer

deny