List of top Questions asked in UPSEE

Let x be an $n \times 1$ matrix. Let O and I be the zero, and identity matrices of order n, respectively. Define $P = - \frac{xx^T}{x^Tx}$ is the transpose of x. Then which of the following options is always CORRECT?

Let $a_1, a_2, a_3$, ... be an arithmetic progression with nonzero common difference. It is given that $\sum^{12}_{i = 4} a_i = 63$ and $a_k = 7 $ for some k . Then the value of k is

Let S be the set of all right angled triangles with integer sides forming consecutive terms of an arithmetic progression. The number of triangles in S with perimeter less than 30 is

The imaginary part of $\left( \frac{1}{2} + \frac{1}{2}i\right)^{10} $ is

A car travels 200 km in 2 h and travels 240 km in next 3 h. If the acceleration is constant then the distance it will travel in the next one hour is

Let z = x + iy be a complex number. The equation arg $\left( \frac{z + 1}{z}\right) = \frac{\pi}{4}$ represents

Which of the following carbohydrates are branched polymer of glucose

A carnot engine takes 300 calories of heat at 500 K and rejects 150 calories of heat to the sink. The temperature of the sink is

Which of the following is not permissible arrangement of electrons in an atom.

If det $\begin{bmatrix}1&1&2\\ 2&4&9\\ t&t^{2}&1+t^{3}\end{bmatrix} = 0 $ , then the values of t are

Average atomic weight of an element M is 51.7. If two isotopes of $M, M^{50}$ and $M^{52}$ are present, then percentage of occurrence of $M^{50}$ in nature will be.

A convex lens of focal length 10 cm and refractive index 1.5 is dipped in a liquid of refractive index 1.75. It will behave as

The number of structural isomers for $ {C_6H_{14}}$ is

$ {B2H6}$ reacts with $ {(CH3)3N}$ to produce

Silicones are -

Two batteries of emf 6V and 3V with internal resistances $1 \Omega$ and $2\Omega$ respectively are connected as shown in figure. the potential difference across A and B is

Let $x^2 + \alpha x + \beta = 0$ the equation whose roots are the negatives of the roots of $x^2 + 7x - 2 = 0$ then the value of $\alpha + \beta$ is

If the roots of $4k^2 - (5k + 1)x + 5k = 0$ differ by unity then the sum of all possible values of k is

Bleaching powder contains a salt of an oxoacid as one of its components. The anhydride of that oxoacid is

The vapour density of a mixture containing $ {NO2}$ and $ {N2O4}$ is 38.3 at $ {27^{\circ}C}$. What will be the mole of $ {NO_2}$ in 100 mole mixture.

An achromatic combination of lens is formed by joining

The resolving power of telescope can be increased by

The following graph shows how $(t_{1/2})$ a (half life) of a reactant R changes with the initial reactant concentration $a_0$. The order of the reaction will be