List of practice Questions

An object is taken to a height above the surface of earth at a distance $\frac{5}{4} R$ from the centre of the earth Where radius of earth, $R =6400 km$ The percentage decrease in the weight of the object will be

Let x and y be two positive integers and p be a prime number. If x (x – p) – y (y + p) = 7p, what will be the minimum value of x – y?

Roy bought articles at Rs. 20 per item. He sells them for Rs. 4, Rs. 6. He intends to make a profit of at least 40%. What will be the min number of articles he should sell?

For what values of x,\(\begin{bmatrix} 1 & 2 & 1 \end{bmatrix}\)\(\begin{bmatrix} 1 & 2 & 0\\ 2 & 0 & 1 \\1&0&2 \end{bmatrix}\)\(\begin{bmatrix} 0 \\2\\x\end{bmatrix}\)=O?

Eject : Insert : : Advance : _______ (By word meaning)

What is the default interest payable under Section 63A of the Transfer of Property Act, 1882?

Identify the correct side (front) view for the given 3D volume (as indicated by the arrow) from the options given below

Which of the following is the landmark judgment on the Colourable legislation?

Imran sold a mobile phone for Rs. 17600 after a discount of 12%, he made a profit of 10%. If no discount is given, find the profit percentage.

A & B work 5 hours a day and complete work in 2 days. B and C work 5 hours a day and complete the same work in 4 days. A and C work 6 hours a day and complete the same in 2 days. How many days will A take to complete the work if he is working 5 hours a day alone?

What day of the week was on April 15, 1954?

If dissociation constant of acetic acid is \(1.6×10^{-5}\), the hydrolysis constant of sodium acetate is

The sum of the maximum and minimum values of the function |5x-7|+[x²+2x] is the interval $\left[\frac{5}{4}, 2\right]$, where $[t]$ is the greatest integer $\leq t$ is ______

Given below are two statements:
Statement I: Agricultural conditions in the Gangetic basin were vastly different from those of the Indus culture. 
Statement II: Canals and dykes were of great significance in Gangetic basin. 
In the light of the above statements, choose the correct answer from the options given below :

The value of $12 \int\limits_0^3\left|x^2-3 x+2\right| d x$ is

A linearly polarized light of wavelength 590 nm is incident normally on the surface of a 20 μm thick quartz film. The plane of polarization makes an angle 30° with the optic axis. Refractive indices of ordinary and extraordinary waves differ by 0.0091, resulting in a phase difference of fπ between them after transmission. The value of f (rounded off to two decimal places) and the state of polarization of the transmitted light is

Water from a tank is flowing down through a hole at its bottom with velocity 5 ms^-1. If this water falls on a flat surface kept below the hole at a distance of 0.1 m and spreads horizontally, the pressure (in kNm^-2) exerted on the flat surface is closest to
Given: acceleration due to gravity = 9.8 ms^-2 and density of water = 1000 kgm^-3

Let 𝑀 = \(\begin{bmatrix} K & 1 & 1 \\ 1 & K & 1 \\ 1 & 1 & K \end{bmatrix}\)and I₃ be the identity matrix of order 3. If the rank of the matrix 10 𝐼₃ − 𝑀 is 2 then 𝑘 is equal to _____ (in integer).

34, 246, ___, 3130

Let $f:(0,1) \rightarrow R$ be a function defined by $f(x)=\frac{1}{1-e^{-x}}$, and $g(x)=(f(-x)-f(x))$ Consider two statements (I) $g$ is an increasing function in $(0,1)$ (II) $g$ is one-one in $(0,1)$Then,

Match the idioms in List I with the meanings in List II

	LIST I		LIST II
A	Pour oil on troubled waters	I	not to commit oneself
B	Rule the roast	II	to find fault with
C	Sit on the fence	III	to pacify the matters
D	Pick holes	IV	To dominate

Choose the correct answer from the options given below:

Which of the following is the time limit given under Section 17 of the Transfer of Property Act, 1882?

A conducting circular loop of radius 'a' and resistance R is kept on a horizontal plane. A vertical time-varying magnetic field B = 2t is switched on at time t = 0. Then which of the following statement(s) is/are correct?

Arrange the following elements in increasing order of their electronegativity according to the Pauling scale
C, Na, Be and Br

If \(x\) and \(y\) are positive real numbers such that \(log_x(x^2+12)=4\) and \(3\;log_yx=1\),then \(x+y\) equals