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42
GATE Electrical 2014 Set 2 | GA Question: 10
At what time between $6$ $a.m.$ and $7 \: a.m.$ will the minute hand and hour hand of a clock make an angle closest to $60^\circ$? $6:22 \: a.m.$ $6:27 \: a.m.$ $6:38 \: a.m.$ $6:45 \: a.m.$
At what time between $6$ $a.m.$ and $7 \: a.m.$ will the minute hand and hour hand of a clock make an angle closest to $60^\circ$?$6:22 \: a.m.$$6:27 \: a.m.$$6:38 \: a...
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45
GATE Electrical 2014 Set 1 | GA Question: 5
The roots of $ax^{2}+ bx + c = 0$ are real and positive. $a, b$ and $c$ are real. Then $ ax^2 + b \mid x \mid + c = 0$ has no roots $2$ real roots $3$ real roots $4$ real roots
The roots of $ax^{2}+ bx + c = 0$ are real and positive. $a, b$ and $c$ are real. Then $ ax^2 + b \mid x \mid + c = 0$ hasno roots$2$ real roots$3$ real roots$4$ real ...
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48
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.$$\begin{array}{|l|c|c|} \hline \textbf{Category} & \textbf{Amount(Rs.)} \\\hl...
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50
GATE Electrical 2014 Set 2 | GA Question: 8
If x is real and $|x^2 − 2x + 3|$ = $11$, then possible values of $| -x^3 + x^2 − x|$ include $2,4$ $2,14$ $4,52$ $14,52$
If x is real and $|x^2 − 2x + 3|$ = $11$, then possible values of $| -x^3 + x^2 − x|$ include$2,4$$2,14$$4,52$$14,52$
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53
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}$$0.9^{k}$
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55
GATE Electrical 2013 | Question: 64
A car travels $8$ km in the first quarter of an hour, $6$ km in the second quarter and $16$ km in the third quarter. The average speed of the car in km per hour over the entire journey is $30$ $36$ $40$ $24$
A car travels $8$ km in the first quarter of an hour, $6$ km in the second quarter and $16$ km in the third quarter. The average speed of the car in km per hour over the...
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60
GATE Electrical 2015 Set 2 | GA Question: 5
Consider a function $f(x) = 1 - |x|$ on $-1 \leq x \leq 1$. The value of $x$ at which the function attains a maximum, and the minimum value of the function are: $0, -1$ $-1, 0$ $0, 1$ $-1, 2$
Consider a function $f(x) = 1 - |x|$ on $-1 \leq x \leq 1$. The value of $x$ at which the function attains a maximum, and the minimum value of the function are:$0, -1$$-1...
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61
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$$4/15$
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62
GATE Electrical 2013 | Question: 63
The set of values of $p$ for which the roots of the equation $3x^2+2x+p(p-1)=0$ are of opposite sign is $(-\infty ,0)$ $(0,1)$ $(1,\infty )$ $(0,\infty )$
The set of values of $p$ for which the roots of the equation $3x^2+2x+p(p-1)=0$ are of opposite sign is$(-\infty ,0)$$(0,1)$$(1,\infty )$$(0,\infty )$
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63
GATE Electrical 2016 Set 1 | GA Question: 10
Choose the correct expression for $f(x)$ given in the graph. $f(x) = 1 - \mid x - 1 \mid $ $f(x) = 1 + \mid x - 1 \mid $ $f(x) = 2 - \mid x - 1 \mid $ $f(x) = 2 + \mid x - 1 \mid $
Choose the correct expression for $f(x)$ given in the graph.$f(x) = 1 - \mid x - 1 \mid $$f(x) = 1 + \mid x - 1 \mid $$f(x) = 2 - \mid x - 1 \mid $$f(x) = 2 + \mid x - 1 ...
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64
GATE Electrical 2017 Set 1 | GA Question: 4
Find the smallest number $y$ such that $y \times 162$ is a perfect cube. $24$ $27$ $32$ $36$
Find the smallest number $y$ such that $y \times 162$ is a perfect cube.$24$$27$$32$$36$
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68
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$$1$None of the above.
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70
GATE Electrical 2013 | Question: 61
What is the chance that a leap year, selected at random, will contain $53$ Saturdays? $2/7$ $3/7$ $1/7$ $5/7$
What is the chance that a leap year, selected at random, will contain $53$ Saturdays?$2/7$$3/7$$1/7$$5/7$
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71
GATE Electrical 2015 Set 2 | GA Question: 7
In a triangle $PQR$, $PS$ is the angle bisector of $\angle QPR$ and $\angle QPS =60^\circ$. What is the length of $PS$ ? $\dfrac{(q+r)}{qr} \\$ $\dfrac{qr}{(q+r)} \\$ $\sqrt{(q^{2}+r^{2})} \\$ $\dfrac{(q+r)^{2}}{qr}$
In a triangle $PQR$, $PS$ is the angle bisector of $\angle QPR$ and $\angle QPS =60^\circ$. What is the length of $PS$ ?$\dfrac{(q+r)}{qr} \\$$\dfrac{qr}{(q+r)} \\$$\sqrt...
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73
GATE Electrical 2016 Set 1 | GA Question: 9
In a $2 \times 4$ rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid? $21$ $27$ $30$ $36$
In a $2 \times 4$ rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid?$21$$27$$30$ $36$
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74
GATE Electrical 2014 Set 2 | GA Question: 4
What is the average of all multiples of $10$ from $2$ to $198?$ $90$ $100$ $110$ $120$
What is the average of all multiples of $10$ from $2$ to $198?$$90$$100$$110$$120$
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75
GATE Electrical 2014 Set 3 | GA Question: 10
Consider the equation: $(7526)_8$ − $(Y)_8$ = $(4364)_8$ , where $(X)_N$ stands for $X$ to the base $N$. Find $Y$ $1634$ $1737$ $3142$ $3162$
Consider the equation: $(7526)_8$ − $(Y)_8$ = $(4364)_8$ , where $(X)_N$ stands for $X$ to the base $N$. Find $Y$$1634$$1737$$3142$$3162$
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