List of top Questions asked in UPSEE

A 10gm bullet moving directly upward at 1000 m/s strikes and passes through the center of mass of a 10 kg block initially at rest .The bullet emerges from the block moving directly upward at 400 m/s. What will be velocity of the block just after the bullet comes out of it ?

There are two identical springs each of spring constant k. Here springs, pulley and rods are massless and block has mass m. What is the extension of each spring at equilibrium ?

Maximum absorption of water occurs in :

What is Epiblema?

The signals for parturition originate from :

If $\log_{\sin \frac{\pi}{6}} \left\{\frac{\left|z-2\right| + 3 }{3\left|z - 2\right| - 1 }\right\}>1 $ , then

Which of the following is a meso compound ?

Which of the following is a monomer of Dacron:

Which of the following is Reimer - Tieman reaction?

Which technique is used for the test tube baby program?

Which one of the following will be reactive for Perkin condensation ?

Which of the following effects of $-NO_2$ group operates on $-NH_2$ group in this molecule ?

Which insect is useful for us?

What is the voltage across an ideal p-n junction diode for shown circuit ?

What is the name of the following reaction? $ HCHO + HCHO { ->[{NaOH}][{\Delta}] }CH_3OH + HCOONa$

The value of the integral $\int \frac{dx}{x \sqrt{x^{2} - a^{2}} } $ is equal to:

The maximum value of the function $y = 2 \, \tan \, x - \tan^2 \, x $ over $\left[ 0 , \frac{\pi}{2} \right]$ is :

Spore bearing leaf is called

In mammals which organ acts as blood bank ?

The point of inflection of the function $y - \int^{x}_{0} \left(t^{2} - 3t + 2 \right) dt $ is

The $\displaystyle \lim_{x \to \frac{\pi}{2}} \left\{ 2x \tan x - \frac{\pi}{\cos x }\right\} $ is

A chord of the parabola $y = x^2 - 2x + 5$ joins the point with the abscissas $x_1 =1, x_2 = 3$ Then the equation of the tangent to the parabola parallel to the chord is :

The points of the curve $y = x^3 + x - 2$ at which its tangents are parallel to the straight line $y = 4x - 1$ are

For what interval of variation of $x$, the identity $arc \, \cos \frac{1 - x^2}{1 + x^2} = - 2 \, arc \, \tan \, x$ is true ?

If a , b , c are three vectors such that $[ a\,b\,c]= 5 $ then the value of $[a \times b , \times c , \,c \times a] $ is :