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GATE Mechanical 2014 Set 1 | Question: 2
$\displaystyle{} \lim_{x\rightarrow 0}\dfrac{x- \sin x}{1- \cos x}$ is $0$ $1$ $3$ not defined
$\displaystyle{} \lim_{x\rightarrow 0}\dfrac{x- \sin x}{1- \cos x}$ is$0$$1$$3$not defined
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GATE Mechanical 2014 Set 1 | Question: 1
Given that the determinant of the matrix $\begin{bmatrix} 1 & 3 & 0\\ 2 & 6 & 4\\ -1 & 0 & 2 \end{bmatrix}$ is $-12$, the determinant of the matrix $\begin{bmatrix} 2 & 6 & 0\\ 4 & 12 & 18\\ -2 & 0 & 4 \end{bmatrix}$ is $-96$ $-24$ $24$ $96$
Given that the determinant of the matrix $\begin{bmatrix} 1 & 3 & 0\\ 2 & 6 & 4\\ -1 & 0 & 2 \end{bmatrix}$ is $-12$, the determinant of the matrix $\begin{bmatrix} 2 & 6...
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GATE Mechanical 2014 Set 1 | GA Question: 8
A train that is $280$ $meters$ long, traveling at a uniform speed, crosses a platform in $60$ seconds and passes a man standing on the platform in $20$ seconds. What is the length of the platform in $meters$?
A train that is $280$ $meters$ long, traveling at a uniform speed, crosses a platform in $60$ seconds and passes a man standing on the platform in $20$ seconds. What is t...
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GATE Mechanical 2014 Set 1 | GA Question: 6
Find the odd one from the following group: $\begin{array}{llll} W,E,K,O & I,Q,W,A & F,N,T,X & N,V,B,D \end{array}$ $W,E,K,O$ $I,Q,W,A $ $F,N,T,X $ $N,V,B,D$
Find the odd one from the following group:$\begin{array}{llll} W,E,K,O & I,Q,W,A & F,N,T,X & N,V,B,D \end{array}$$W,E,K,O$$I,Q,W,A $$F,N,T,X $$N,V,B,D$
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GATE Mechanical 2014 Set 1 | GA Question: 4
The statistics of runs scored in a series by four batsmen are provided in the following table. Who is the most consistent batsman of these four? ... $K$ $L$ $M$ $N$
The statistics of runs scored in a series by four batsmen are provided in the following table. Who is the most consistent batsman of these four?$$\begin{array}{|c|c|c|} ...
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GATE Mechanical 2014 Set 1 | GA Question: 1
Choose the most appropriate phrase from the options given below to complete the following sentence. The aircraft _________ take off as soon as its flight plan was filed. is allowed to will be allowed to was allowed to has been allowed to
Choose the most appropriate phrase from the options given below to complete the following sentence.The aircraft _________ take off as soon as its flight plan was filed.is...
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GATE ME 2013 | Question: 63
Find the sum of the expression $\dfrac{1}{\sqrt{1}+\sqrt{2}}+\dfrac{1}{\sqrt{2}+\sqrt{3}}+\dfrac{1}{\sqrt{3}+\sqrt{4}}+ \dots \dots +\dfrac{1}{\sqrt{80}+\sqrt{81}}$ $7$ $8$ $9$ $10$
Find the sum of the expression$\dfrac{1}{\sqrt{1}+\sqrt{2}}+\dfrac{1}{\sqrt{2}+\sqrt{3}}+\dfrac{1}{\sqrt{3}+\sqrt{4}}+ \dots \dots +\dfrac{1}{\sqrt{80}+\sqrt{81}}$$7$$8$$...
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GATE ME 2013 | Question: 61
Out of all the $2$-digit integers between $1$ and $100$, a $2$-digit number has to be selected at random. What is the probability that the selected number is not divisible by $7$? $13/90$ $12/90$ $78/90$ $77/90$
Out of all the $2$-digit integers between $1$ and $100$, a $2$-digit number has to be selected at random. What is the probability that the selected number is not divisibl...
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GATE ME 2013 | Question: 60
What will be the maximum sum of $44, 42, 40, \ldots \;?$ $502$ $504$ $506$ $500$
What will be the maximum sum of $44, 42, 40, \ldots \;?$$502$$504$$506$$500$
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GATE ME 2013 | Question: 59
Choose the grammatically INCORRECT sentence: He is of Asian origin. They belonged to Africa. They belonged to Africa. They migrated from India to Australia.
Choose the grammatically INCORRECT sentence:He is of Asian origin.They belonged to Africa.They belonged to Africa.They migrated from India to Australia.
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GATE ME 2013 | Question: 47
The value of the definite integral $\int_{1}^{e}\sqrt{x}\ln(x)dx$ is $\dfrac{4}{9}\sqrt{e^3}+\dfrac{2}{9} \\$ $\dfrac{2}{9}\sqrt{e^3}-\dfrac{4}{9} \\$ $\dfrac{2}{9}\sqrt{e^3}+\dfrac{4}{9}\\$ $\dfrac{4}{9}\sqrt{e^3}-\dfrac{2}{9}$
The value of the definite integral $\int_{1}^{e}\sqrt{x}\ln(x)dx$ is$\dfrac{4}{9}\sqrt{e^3}+\dfrac{2}{9} \\$$\dfrac{2}{9}\sqrt{e^3}-\dfrac{4}{9} \\$$\dfrac{2}{9}\sqrt{e^3...
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