GATE Mechanical 2024 | GA Question: 4

admin asked Feb 16 • edited Feb 23 by makhdoom ghaya

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GATE Mechanical 2024 | Question: 4
Consider the system of linear equations \[ \begin{array}{c} x+2 y+z=5 \\ 2 x+a y+4 z=12 \\ 2 x+4 y+6 z=b \end{array} \] The values of $a$ and $b$ such that there exists a non-trivial null space and the system admits infinite solutions are $a=8, b=14$ $a=4, b=12$ $a=8, b=12$ $a=4, b=14$

Consider the system of linear equations\[\begin{array}{c}x+2 y+z=5 \\2 x+a y+4 z=12 \\2 x+4 y+6 z=b\end{array}\]The values of $a$ and $b$ such that there e...

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GATE Mechanical 2024 | GA Question: 1
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [smile $\rightarrow$ giggle $\rightarrow$ laugh] is analogous to [disapprove $\rightarrow$ _________$\rightarrow$ chide] Which one of the given options is appropriate to fill the blank? reprove praise reprise grieve

If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [smile $\rightarrow$ giggle $\rightarrow$ laugh] is analogous to [disappro...

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GATE Mechanical 2024 | GA Question: 2
Find the odd one out in the set: $\{19,37,21,17,23,29,31,11\}$ $21$ $29$ $37$ $23$

Find the odd one out in the set: $\{19,37,21,17,23,29,31,11\}$$21$$29$$37$$23$

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GATE Mechanical 2024 | GA Question: 3
In the following series, identify the number that needs to be changed to form the Fibonacci series. $1,1,2,3,6,8,13,21, \ldots$ $8$ $21$ $6$ $13$

In the following series, identify the number that needs to be changed to form the Fibonacci series.$1,1,2,3,6,8,13,21, \ldots$$8$$21$$6$$13$

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GATE Mechanical 2024 | GA Question: 5
Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as $2,3,5$, and $7$. If thrown, the long dice cannot land on the square faces and has $1 / 4$ probability of landing on any of the four rectangular faces. The label on the top ... the sum of the two long dice scores greater than $11$? $3 / 8$ $1 / 8$ $1 / 16$ $3 / 16$

Take two long dice (rectangular parallelepiped), each having four rectangular faces labelled as $2,3,5$, and $7$. If thrown, the long dice cannot land on the square faces...

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