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1 votes
1 answer
2
GATE Electrical 2023 | GA Question: 7
Which one of the following options represents the given graph? $f(x)=x^{2} 2^{-|x|}$ $f(x)=x 2^{-|x|}$ $f(x)=|x| 2^{-x}$ $f(x)=x 2^{-x}$
Which one of the following options represents the given graph?$f(x)=x^{2} 2^{-|x|}$$f(x)=x 2^{-|x|}$$f(x)=|x| 2^{-x}$$f(x)=x 2^{-x}$
1 votes
1 answer
3
GATE Electrical 2023 | GA Question: 9
The digit in the unit's place of the product $3^{999} \times 7^{1000}$ is _________. $7$ $1$ $3$ $9$
The digit in the unit's place of the product $3^{999} \times 7^{1000}$ is _________.$7$$1$$3$$9$
1 votes
1 answer
5
GATE Electrical 2022 | GA Question: 2
In a $500\;m$ race, $P$ and $Q$ have speeds in the ratio of $3 : 4$. $Q$ starts the race when $P$ has already covered $140\; m$. What is the distance between $P$ and $Q$ (in $m$) when $P$ wins the race? $20$ $40$ $60$ $140$
In a $500\;m$ race, $P$ and $Q$ have speeds in the ratio of $3 : 4$. $Q$ starts the race when $P$ has already covered $140\; m$.What is the distance between $P$ and $Q$ (...
3 votes
2 answers
10
GATE Electrical 2021 | GA Question: 4
Which one of the following numbers is exactly divisible by $\left ( 11^{13} +1\right )$? $11^{26} +1$ $11^{33} +1$ $11^{39} -1$ $11^{52} -1$
Which one of the following numbers is exactly divisible by $\left ( 11^{13} +1\right )$?$11^{26} +1$$11^{33} +1$$11^{39} -1$$11^{52} -1$
1 votes
1 answer
11
GATE Electrical 2021 | GA Question: 7
In the figure shown above, each inside square is formed by joining the midpoints of the sides of the next larger square. The area of the smallest square (shaded) as shown, in $\text{cm}^{2}$ is: $12.50$ $6.25$ $3.125$ $1.5625$
In the figure shown above, each inside square is formed by joining the midpoints of the sides of the next larger square. The area of the smallest square (shaded) as shown...
2 votes
1 answer
14
GATE Electrical 2020 | GA Question: 5
If $\text{P, Q, R, S}$ are four individuals, how many teams of size exceeding one can be formed, with $\text{Q}$ as a member? $5$ $6$ $7$ $8$
If $\text{P, Q, R, S}$ are four individuals, how many teams of size exceeding one can be formed, with $\text{Q}$ as a member?$5$$6$$7$$8$
0 votes
0 answers
17
GATE Electrical 2019 | GA Question: 4
It takes two hours for a person $X$ to mow the lawn. $Y$ can mow the same lawn in four hours. How long (in minutes) will it take $X$ and $Y,$ if they work together to mow the lawn$?$ $60$ $80$ $90$ $120$
It takes two hours for a person $X$ to mow the lawn. $Y$ can mow the same lawn in four hours. How long (in minutes) will it take $X$ and $Y,$ if they work together to mow...
0 votes
1 answer
18
GATE Electrical 2019 | GA Question: 6
How many integers are there between $100$ and $1000$ all of whose digits are even? $60$ $80$ $100$ $90$
How many integers are there between $100$ and $1000$ all of whose digits are even?$60$$80$$100$$90$
0 votes
0 answers
21
GATE Electrical 2012 | Question: 65
The data given in the following table summarizes the monthly budget of an average household. ... The approximate percentage of the monthly budget $\textbf{NOT}$ spent on savings is $10\%$ $14\%$ $81\%$ $86\%$
The data given in the following table summarizes the monthly budget of an average household.$$\begin{array}{|l|c|c|} \hline \textbf{Category} & \textbf{Amount(Rs.)} \\\hl...
0 votes
0 answers
22
GATE Electrical 2012 | Question: 63
Raju has $14$ currency notes in his pocket consisting of only Rs. $20$ notes and Rs. $10$ notes. The total money value of the notes is Rs. $230$. The number of Rs. $10$ notes that Raju has is $5$ $6$ $9$ $10$
Raju has $14$ currency notes in his pocket consisting of only Rs. $20$ notes and Rs. $10$ notes. The total money value of the notes is Rs. $230$. The number of Rs. $10$ n...
0 votes
1 answer
24
GATE Electrical 2018 | GA Question: 5
Functions $F(a,b)$ and $G(a,b)$ are defined as follows: $F(a,b)=(a-b)^{2}$ and $G(a,b)=\mid a-b\mid ,$ where $\mid x\mid$ represents the absolute value of $x.$ What would be the value of $G(F(1,3),G(1,3))?$ $2$ $4$ $6$ $36$
Functions $F(a,b)$ and $G(a,b)$ are defined as follows:$F(a,b)=(a-b)^{2}$ and $G(a,b)=\mid a-b\mid ,$ where $\mid x\mid$ represents the absolute value of $x.$What would b...
0 votes
0 answers
25
GATE Electrical 2018 | GA Question: 3
The three roots of the equation $f(x) = 0$ are $x = {−2, 0, 3}.$ What are the three values of $ x $ for which $f(x − 3) = 0?$ $−5 , −3 , 0 $ $−2 , 0 , 3$ $0 , 6 , 8$ $1 , 3 , 6$
The three roots of the equation $f(x) = 0$ are $x = {−2, 0, 3}.$ What are the three values of $ x $ for which $f(x − 3) = 0?$$−5 , −3 , 0 $ $−2 , 0 , ...
0 votes
1 answer
26
GATE Electrical 2018 | GA Question: 4
For what values of $k$ given below is $\dfrac{(k + 2)^2}{(k - 3)}$ an integer? $4 , 8 , 18 $ $4 , 10 , 16$ $ 4 , 8 , 28 $ $8 , 26 , 28$
For what values of $k$ given below is $\dfrac{(k + 2)^2}{(k - 3)}$ an integer?$4 , 8 , 18 $ $4 , 10 , 16$$ 4 , 8 , 28 $ $8 , 26 , 28$
0 votes
0 answers
31
GATE Electrical 2017 Set 2 | GA Question: 9
The number of roots of $e^{x}+0.5x^{2}-2=0$ in the range $[-5, 5]$ is $0$ $1$ $2$ $3$
The number of roots of $e^{x}+0.5x^{2}-2=0$ in the range $[-5, 5]$ is$0$$1$$2$$3$
0 votes
0 answers
32
GATE Electrical 2017 Set 2 | GA Question: 8
$X$ is a $30$ digit number starting with the digit $4$ followed by the digit $7$. Then the number $X^{3}$ will have $90$ digits $91$ digits $92$ digits $93$ digits
$X$ is a $30$ digit number starting with the digit $4$ followed by the digit $7$. Then the number $X^{3}$ will have$90$ digits$91$ digits$92$ digits$93$ digits
0 votes
0 answers
33
GATE Electrical 2017 Set 2 | GA Question: 5
There are $3$ red socks, $4$ green socks and $3$ blue socks. You choose $2$ socks. The probability that they are of the same colour is $1/5$ $7/30$ $1/4$ $4/15$
There are $3$ red socks, $4$ green socks and $3$ blue socks. You choose $2$ socks. The probability that they are of the same colour is$1/5$$7/30$$1/4$$4/15$
0 votes
0 answers
37
GATE Electrical 2017 Set 1 | GA Question: 8
The expression $\frac{(x+y)-|x-y|}{2}$ is equal to The maximum of $x$ and $y$ The minimum of $x$ and $y$ $1$ None of the above.
The expression $\frac{(x+y)-|x-y|}{2}$ is equal toThe maximum of $x$ and $y$The minimum of $x$ and $y$$1$None of the above.
0 votes
0 answers
39
GATE Electrical 2017 Set 1 | GA Question: 5
The probability that a $k$-digit number does NOT contain the digits $0, 5$ or $9$ is $0.3^{k}$ $0.6^{k}$ $0.7^{k}$ $0.9^{k}$
The probability that a $k$-digit number does NOT contain the digits $0, 5$ or $9$ is$0.3^{k}$$0.6^{k}$$0.7^{k}$$0.9^{k}$
0 votes
0 answers
40
GATE Electrical 2017 Set 1 | GA Question: 4
Find the smallest number $y$ such that $y \times 162$ is a perfect cube. $24$ $27$ $32$ $36$
Find the smallest number $y$ such that $y \times 162$ is a perfect cube.$24$$27$$32$$36$
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