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GATE Mechanical 2018 Set 2 | GA Question: 5
The value of the expression $\dfrac{1}{1+ \log_u \: vw} + \dfrac{1}{1+ \log_v \: wu} + \dfrac{1}{1+\log_w uv}$ is _______ $-1$ $0$ $1$ $3$
The value of the expression $\dfrac{1}{1+ \log_u \: vw} + \dfrac{1}{1+ \log_v \: wu} + \dfrac{1}{1+\log_w uv}$ is _______$-1$$0$$1$$3$
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GATE Mechanical 2018 Set 2 | GA Question: 10
An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head ans T stands for tail, the following are the observations from the four trials. HTHTHT TTHHHT HTTHHT ... Two T will occur. One H and one T will occur. Two H will occur. One H wll be followed by one T.
An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head ans T stands fo...
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GATE Mechanical 2018 Set 1 | GA Question: 9
Which of the following functions describe the graph shown in the below figure? $y=\mid \mid x \mid + 1 \mid -2$ $y=\mid \mid x \mid - 1 \mid -1$ $y=\mid \mid x \mid + 1 \mid -1$ $y=\mid \mid x - 1 \mid -1\mid$
Which of the following functions describe the graph shown in the below figure?$y=\mid \mid x \mid + 1 \mid -2$$y=\mid \mid x \mid - 1 \mid -1$$y=\mid \mid x \mid + 1 \mid...
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GATE Mechanical 2018 Set 1 | GA Question: 3
Seven machines take $7$ minutes to make $7$ identical toys. At the same rate, how many minutes would it take for $100$ machine to make $100$ toys? $1$ $7$ $100$ $700$
Seven machines take $7$ minutes to make $7$ identical toys. At the same rate, how many minutes would it take for $100$ machine to make $100$ toys?$1$$7$$100$$700$
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GATE Mechanical 2018 Set 1 | GA Question: 5
A number consists of two digits. The sum of the digits is $9$. If $45$ is subtracted from the number, its digits are interchanged. What is the number? $63$ $72$ $81$ $90$
A number consists of two digits. The sum of the digits is $9$. If $45$ is subtracted from the number, its digits are interchanged. What is the number?$63$$72$$81$$90$
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GATE Mechanical 2018 Set 1 | GA Question: 6
For integers, $a$, $b$ and $c$, what would be the minimum and maximum values respectively of $a+b+c$ if $\log \mid a \mid + \log \mid b \mid + \log \mid c \mid =0$? $\text{-3 and 3}$ $\text{-1 and 1}$ $\text{-1 and 3}$ $\text{1 and 3}$
For integers, $a$, $b$ and $c$, what would be the minimum and maximum values respectively of $a+b+c$ if $\log \mid a \mid + \log \mid b \mid + \log \mid c \mid =0$?$\tex...
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GATE Mechanical 2018 Set 1 | GA Question: 7
Given that $a$ and $b$ are integers and $a+a^2 b^3$ is odd, which of the following statements is correct? $a$ and $b$ are both odd $a$ and $b$ are both even $a$ is even and $b$ is odd $a$ is odd and $b$ is even
Given that $a$ and $b$ are integers and $a+a^2 b^3$ is odd, which of the following statements is correct?$a$ and $b$ are both odd$a$ and $b$ are both even$a$ is even and ...
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GATE Mechanical 2017 Set 2 | GA Question: 3
If $a$ and $b$ are integers and $a-b$ is even, which of the following must always be even? $ab$ $a^{2}+b^{2}+1$ $a^{2}+b+1$ $ab-b$
If $a$ and $b$ are integers and $a-b$ is even, which of the following must always be even?$ab$$a^{2}+b^{2}+1$$a^{2}+b+1$$ab-b$
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GATE Mechanical 2017 Set 2 | GA Question: 4
A couple has $2$ children. The probability that both children are boys if the older one is a boy is $1/4$ $1/3$ $1/2$ $1$
A couple has $2$ children. The probability that both children are boys if the older one is a boy is$1/4$$1/3$$1/2$$1$
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GATE Mechanical 2017 Set 2 | GA Question: 7
$X$ bullocks and $Y$ tractors take $8$ days to plough a field. If we have the number of bullocks and double the number of tractors, it takes $5$ days to plough the same field. How many days will it take $X$ bullocks alone to plough the field? $30$ $35$ $40$ $45$
$X$ bullocks and $Y$ tractors take $8$ days to plough a field. If we have the number of bullocks and double the number of tractors, it takes $5$ days to plough the same f...
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GATE Mechanical 2016 Set 3 | GA Question: 8
Two and a quarter hours back,when seen in the mirror,the reflection of the wall clock without number marking seemed to show $1:30$.what is the actual current time shown by the clock? $8:15$ $11:15$ $12:15$ $12:45$
Two and a quarter hours back,when seen in the mirror,the reflection of the wall clock without number marking seemed to show $1:30$.what is the actual current time shown b...
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GATE Mechanical 2016 Set 2 | GA Question: 10
Which of the following curves represents the function $ln(|e^{[|\sin(|x|)]}|)$ for $\mid x\mid< 2\pi$? Here, $x$ represents the abscissa and $y$ represents the ordinate.
Which of the following curves represents the function $ln(|e^{[|\sin(|x|)]}|)$ for $\mid x\mid< 2\pi$? Here, $x$ represents the abscissa and $y$ represents the ordinate.
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GATE Mechanical 2016 Set 1 | GA Question: 9
If $q^{-a}=\displaystyle{\frac{1}{r}}$ and $r^{-b}=\displaystyle{\frac{1}{s}}$ and $s^{-c}=\displaystyle{\frac{1}{q}}$, the value of $abc$ is $(rqs)^{-1}$ $0$ $1$ $r+q+s$
If $q^{-a}=\displaystyle{\frac{1}{r}}$ and $r^{-b}=\displaystyle{\frac{1}{s}}$ and $s^{-c}=\displaystyle{\frac{1}{q}}$, the value of $abc$ is$(rqs)^{-1}$$0$$1$$r+q+s$
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GATE Mechanical 2015 Set 3 | GA Question: 5
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to held to complete the league round of matches? $20$ $10$ $8$ $5$
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to held to compl...
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GATE Mechanical 2015 Set 3 | GA Question: 8
In the given figure $Q$ is a right triangle, $PS:QS = 3:1$ $RT:QT = 5:2$ $PU:UR = 1:1$ If area of triangle $QTS$ is $20$ $cm^2$, then the area of triangle $PQR$ in $cm^2$ is_____
In the given figure $Q$ is a right triangle, $$PS:QS = 3:1$$ $$RT:QT = 5:2$$ $$PU:UR = 1:1$$ If area of triangle $QTS$ is $20$ $cm^2$, then the area of triangle $PQR$ in ...
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GATE Mechanical 2015 Set 2 | GA Question: 5
If $x>y>1$ Which of the following must be true? $\ln x>\ln y$ $e^x>e^y$ $y^x>x^y$ $\cos x>\cos y$ (i) and (ii) (i) and (iii) (iii) and (iv) (ii) and (iv)
If $x>y>1$ Which of the following must be true?$\ln x>\ln y$$e^x>e^y$$y^x>x^y$$\cos x>\cos y$(i) and (ii)(i) and (iii)(iii) and (iv)(ii) and (iv)
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GATE Mechanical 2015 Set 2 | GA Question: 8
From a circular sheet of paper of radius $30$ $cm$, a sector of $10\%$ area is removed. If the remaining part is used to make a conical surface, then the ratio of radius and height of cone is_____
From a circular sheet of paper of radius $30$ $cm$, a sector of $10\%$ area is removed. If the remaining part is used to make a conical surface, then the ratio of radius ...
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