List of practice Questions

The amplitude of a particle executing SHM is $3 \,cm$ The displacement at which its kinetic energy will be $25 \%$ more than the potential energy is:_______ $cm$

Arrange the words in the correct order to form a grammatically sound sentence: a) Yesterday
b) to
c) the
d) library
e) I
f) went

The volume generated by the revolution of the cardioid $r = a(1-\cosθ)$ about its axis is:

The points of intersection of the line $a x+b y=0,(a \neq b)$ and the circle $x^2+y^2-2 x=0$ are $A (\alpha, 0)$ and $B (1, \beta)$ The image of the circle with $AB$ as a diameter in the line $x+y+2=0$ is :

In a collection of coins, the ratio of the number of 2-rupee coins to 5-rupee coins to 1-rupee coins is $3 : 4 : 5$. If the total value of these coins is Rs. 18.75, how much money is represented by the 5-rupee coins?

The solid which is electrical conductor, ductile and tensile, is called:

Divergence analysis in classification is used:

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R)
Assertion (A): Ketoses give Seliwanoff's test faster than Aldoses
Reason (R): Ketoses undergo -elimination followed by formation of furfural
In the light of the above statements, choose the correct answer from the options given below:

Two tuning forks of frequencies 320 Hz and 340 Hz are sounded together to produce sound waves. The velocity of sound in air is 326.4 m/s. Calculate the difference in wavelengths of these waves.

If y intercept of a plane $ (x - y + z - 1) + q(x + y - z - 1) = 0 $ is 3 then q is :

Find the equation of circle with center at $ (2, 5) $ and radius 5 units.

If a, b, c are nonzero vectors such that a=8b, and c= -7b, then the angle between a and c is:

The pair of equations $ x + 3y = 6 $ and $ 2x - 3y = 12 $ :

If $ \sin y = x \sin(a + y) $, then $ \frac{dy}{dx} $ is:

If $ A $ is the set of even natural numbers less than 8 and $ B $ is the set of prime numbers less than 7, then the number of relations from $ A $ to $ B $ is:

The value of $ x $, if $ \left| 5^2 - 4 \right| = 12x - 4 $, is:

In what ratio the segment joining $ (-1, -12) $ and $ (3, 4) $ divided by x-axis?

In how many ways we can select a group of 2 males and 2 females from the family of 5 males and 3 females?

The integrating factor of the differential equation $ x^2 \left(\frac{dy}{dx}\right) - xy = 1 $ is:

If $ 4\cot^2 x - 16\cot x + 15 < 0 $ and x is real then cot x lies in the interval: