1
GATE CSE 2024 Set 1
+1
-0.33

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

A

21%

B

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

C

10%

D

30%

2
GATE CSE 2024 Set 1
+1
-0.33

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

A

depends on $xy$

B

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

C

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

D

is a constant

3
GATE CSE 2024 Set 1
+1
-0.33

For positive non-zero real variables $p$ and $q$, if

$\log \left(p^2 + q^2\right) = \log p + \log q + 2 \log 3$,

then, the value of $\frac{p^4 + q^4}{p^2 q^2}$ is

A

79

B

81

C

9

D

83

4
GATE CSE 2023
+1
-0.33

A series of natural numbers $$F_1,F_2,F_3,F_4,F_5,F_6,F_7,\,.....$$ obeys $$F_{n+1}=F_n+F_{n-1}$$ for all integers $$n\ge2$$.

If $$F_6=37$$, and $$F_7=60$$, then what is $$F_1$$ ?

A
4
B
5
C
8
D
9
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