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  • Question 1
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    In an Linear programming problem, the restrictions or limitations under which the objective function is to be optimised are called_______.

  • Question 2
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    5 Indian and 5 American couples meet at a party and shake hands. If no wife shakes hands with her husband and no Indian wife shakes hand with a male, then the number of handshakes that takes place in the party is 'm' then:

  • Question 3
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    If \(2+{i}\) is a root of the equation \({x}^{2}-{ax}+1=0\), then the value of a is:

  • Question 4
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    \(\lim x \rightarrow 0\left\{\frac{1+\tan x}{1+\sin x}\right\}^{\operatorname{cosec} x}\) is equal to

  • Question 5
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    Find the distance between the parallel lines 3y + 4x - 12 = 0 and 3y + 4x - 7 = 0.

  • Question 6
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    For every positive integer \(n, 7^{n}-3^{n}\) is divisible by:

  • Question 7
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    The value of \(\cos 20^{\circ}+\cos 100^{\circ}+\cos 140^{\circ}\) is:

  • Question 8
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    The negation of the statement “72 is divisible by 2 and 3” is:

  • Question 9
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    A line makes angle \(\alpha, \beta, y\) with \(x\)-axis, \(y\)-axis and \(z\)-axis respectively then \(\cos 2 \alpha+\cos\) \(2 \beta+\cos 2 \gamma\) is equal to:

  • Question 10
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    Two unbiased dice are thrown. The probability that neither a doubled or a total of 10 will appear is:

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