List of top Questions asked in MET

The equation of the plane through the intersection of the planes \(x + y + z = 1\) and \(2x + 3y - z + 4 = 0\) and parallel to X-axis, is

Let \(\mathbf{a} = 2\hat{\mathbf{i}} + \hat{\mathbf{j}} - 2\hat{\mathbf{k}}\) and \(\mathbf{b} = \hat{\mathbf{i}} + \hat{\mathbf{j}}\). If \(\mathbf{c}\) is a vector such that \(\mathbf{a} \cdot \mathbf{c} = |\mathbf{c}|\), \(|\mathbf{c} - \mathbf{a}| = 2\sqrt{2}\) and the angle between \(\mathbf{a} \times \mathbf{b}\) and \(\mathbf{c}\) is \(30^\circ\). Then \(|(\mathbf{a} \times \mathbf{b}) \times \mathbf{c}|\) is equal to

Order and degree of a differential equation \(\frac{d^2y}{dx^2} = \left\{ y + \left(\frac{dy}{dx}\right)^2 \right\}^{1/4}\) are

The sum to infinity of the series \(1 + \frac{2}{3} + \frac{6}{3^2} + \frac{10}{3^3} + \frac{14}{3^4} + ..........\) is

The equations of the straight lines passing through the point (4, 3) and making intercepts on the coordinate axes whose sum is -1, is

One possible condition for the three points \((a,b), (b,a)\) and \((a^2, -b^2)\) to be collinear, is

The number of positive integral solutions of \(x^2 + 9<(x+3)^2<8x + 25\), is

John M Keynes was advocate of which of the following suggestions?

Which of the following is true about Keynes philosophy?

The author of the passage calls Barack Obama and his team as 'Keynesians' because

What, according to Keynes, is the 'aggregate demand'?

Highways, bridges, ethanol plants etc., are considered by the author as

Obama's upcoming American Recovery and Reinvestment Plan focuses on which of the following?
A. Recovery of all debts from the debtors in a phased manner.
B. Pumping money very liberally in projects that are mandatory.
C. Investing money recklessly in any project regardless of its utility.

Choose the word which is most opposite in meaning of the word printed in bold as used in the passage: Moribund

Choose the word which is most opposite in meaning of the word printed in bold as used in the passage: Beleaguered

Choose the word which is most nearly the same in meaning as the word given in bold as used in the passage: Apocalyptic

Choose the word which is most nearly the same in meaning as the word given in bold as used in the passage: Resuscitate

In an examination, Raju got more marks than Mukesh but not as many as Priya. Priya got more marks than Gaurav and Kavita. Gaurav got less marks than Mukesh but his marks are not the lowest in the group. Who is second in the descending order of marks?

Select the missing number from the given responses.

Select the missing number from the given responses.
64 36 2
81 25 4
144 16 ?

Ashish walked 50 m towards East and took a right turn and walked 40 m. He again took a right turn and walked 50 m. How far is he from the starting point?

Which of the answer figure is exactly the mirror image of the given figure, when the mirror is held on the line AB?

The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3 but when divided by 9 leaves no remainder, is

If \(\frac{x + y}{x - y} = \frac{5}{2}\), then value of \(\frac{x}{y}\) is

Ram bought a refrigerator with 5% discount on the labelled price. Had he bought it with 20% discount, he would have saved ₹1500. At what price did he buy the refrigerator?