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Questions without a selected answer in Quantitative Aptitude

1 votes
1 answer
7
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}$$f(x)=x 2^{-x}$
1 votes
1 answer
9
GATE Electrical 2022 | GA Question: 2
In a $500\;m$ race, $P$ and $Q$ have speeds in the ratio of $3 : 4$. $Q$ starts the race when $P$ has already covered $140\; m$. What is the distance between $P$ and $Q$ (in $m$) when $P$ wins the race? $20$ $40$ $60$ $140$
In a $500\;m$ race, $P$ and $Q$ have speeds in the ratio of $3 : 4$. $Q$ starts the race when $P$ has already covered $140\; m$.What is the distance between $P$ and $Q$ (...
0 votes
0 answers
14
GATE Electrical 2019 | GA Question: 4
It takes two hours for a person $X$ to mow the lawn. $Y$ can mow the same lawn in four hours. How long (in minutes) will it take $X$ and $Y,$ if they work together to mow the lawn$?$ $60$ $80$ $90$ $120$
It takes two hours for a person $X$ to mow the lawn. $Y$ can mow the same lawn in four hours. How long (in minutes) will it take $X$ and $Y,$ if they work together to mow...
0 votes
1 answer
15
GATE Electrical 2019 | GA Question: 6
How many integers are there between $100$ and $1000$ all of whose digits are even? $60$ $80$ $100$ $90$
How many integers are there between $100$ and $1000$ all of whose digits are even?$60$$80$$100$$90$
0 votes
0 answers
18
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.$$\begin{array}{|l|c|c|} \hline \textbf{Category} & \textbf{Amount(Rs.)} \\\hl...
0 votes
0 answers
19
GATE Electrical 2012 | Question: 63
Raju has $14$ currency notes in his pocket consisting of only Rs. $20$ notes and Rs. $10$ notes. The total money value of the notes is Rs. $230$. The number of Rs. $10$ notes that Raju has is $5$ $6$ $9$ $10$
Raju has $14$ currency notes in his pocket consisting of only Rs. $20$ notes and Rs. $10$ notes. The total money value of the notes is Rs. $230$. The number of Rs. $10$ n...
0 votes
0 answers
21
GATE Electrical 2018 | GA Question: 3
The three roots of the equation $f(x) = 0$ are $x = {−2, 0, 3}.$ What are the three values of $ x $ for which $f(x − 3) = 0?$ $−5 , −3 , 0 $ $−2 , 0 , 3$ $0 , 6 , 8$ $1 , 3 , 6$
The three roots of the equation $f(x) = 0$ are $x = {−2, 0, 3}.$ What are the three values of $ x $ for which $f(x − 3) = 0?$$−5 , −3 , 0 $ $−2 , 0 , ...
0 votes
1 answer
22
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$$ 4 , 8 , 28 $ $8 , 26 , 28$
0 votes
1 answer
23
GATE Electrical 2018 | GA Question: 5
Functions $F(a,b)$ and $G(a,b)$ are defined as follows: $F(a,b)=(a-b)^{2}$ and $G(a,b)=\mid a-b\mid ,$ where $\mid x\mid$ represents the absolute value of $x.$ What would be the value of $G(F(1,3),G(1,3))?$ $2$ $4$ $6$ $36$
Functions $F(a,b)$ and $G(a,b)$ are defined as follows:$F(a,b)=(a-b)^{2}$ and $G(a,b)=\mid a-b\mid ,$ where $\mid x\mid$ represents the absolute value of $x.$What would b...
0 votes
0 answers
28
GATE Electrical 2017 Set 2 | GA Question: 9
The number of roots of $e^{x}+0.5x^{2}-2=0$ in the range $[-5, 5]$ is $0$ $1$ $2$ $3$
The number of roots of $e^{x}+0.5x^{2}-2=0$ in the range $[-5, 5]$ is$0$$1$$2$$3$
0 votes
0 answers
29
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
30
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$$4/15$
0 votes
0 answers
35
GATE Electrical 2017 Set 1 | GA Question: 8
The expression $\frac{(x+y)-|x-y|}{2}$ is equal to The maximum of $x$ and $y$ The minimum of $x$ and $y$ $1$ None of the above.
The expression $\frac{(x+y)-|x-y|}{2}$ is equal toThe maximum of $x$ and $y$The minimum of $x$ and $y$$1$None of the above.
0 votes
0 answers
36
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}$$0.9^{k}$
0 votes
0 answers
37
GATE Electrical 2017 Set 1 | GA Question: 4
Find the smallest number $y$ such that $y \times 162$ is a perfect cube. $24$ $27$ $32$ $36$
Find the smallest number $y$ such that $y \times 162$ is a perfect cube.$24$$27$$32$$36$
0 votes
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38
GATE Electrical 2013 | Question: 65
Find the sum to $n$ terms of the series $10+84+ 734 +\dots $ $\dfrac{9(9^n+1)}{10}+1 \\$ $\dfrac{9(9^n-1)}{8}+1 \\$ $\dfrac{9(9^n-1)}{8}+n \\$ $\dfrac{9(9^n-1)}{8}+n^2$
Find the sum to $n$ terms of the series $10+84+ 734 +\dots $$\dfrac{9(9^n+1)}{10}+1 \\$$\dfrac{9(9^n-1)}{8}+1 \\$$\dfrac{9(9^n-1)}{8}+n \\$$\dfrac{9(9^n-1)}{8}+n^2$
0 votes
0 answers
39
GATE Electrical 2013 | Question: 64
A car travels $8$ km in the first quarter of an hour, $6$ km in the second quarter and $16$ km in the third quarter. The average speed of the car in km per hour over the entire journey is $30$ $36$ $40$ $24$
A car travels $8$ km in the first quarter of an hour, $6$ km in the second quarter and $16$ km in the third quarter. The average speed of the car in km per hour over the...
0 votes
0 answers
40
GATE Electrical 2013 | Question: 63
The set of values of $p$ for which the roots of the equation $3x^2+2x+p(p-1)=0$ are of opposite sign is $(-\infty ,0)$ $(0,1)$ $(1,\infty )$ $(0,\infty )$
The set of values of $p$ for which the roots of the equation $3x^2+2x+p(p-1)=0$ are of opposite sign is$(-\infty ,0)$$(0,1)$$(1,\infty )$$(0,\infty )$
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