List of practice Questions

If the line $ 4x - 3y + p = 0 $ (where $ p + 3>0 $) touches the circle $ x^2 + y^2 - 4x + 6y + 4 = 0 $ at the point $ (h,k) $, then the value of $ h - 2k $ is:

“Your Majesty, I have two wives already. If I marry you...” (The Tiger King)
No doubt it adds humour to the story. Humour always captures the mind of readers.
Taking ideas from the story {Tiger King}, write an article on the ‘Importance of Humour in Life’.
You may begin like this:
Sense of humour helps us deal with problems of life and improves one’s mental and physical health...

The following line graph gives the annual percent profit earned by a company during the period 1995 - 2000. If the income in 1998 was Rs. 264 crores, what was the expenditure in 1998?

What will come in place of the question mark (?) in the following question ?

50% of 6000 + 20% of ? = 4000

The displacement equations of sound waves produced by two sources are given by: $ y_1 = 5 \sin(400t) $ and $ y_2 = 8 \sin(408t) $, where $ t $ is time in seconds. If the waves are produced simultaneously, the number of beats produced per minute is:

Which of the following are Porter's Five Forces ?
a. Threat of new entrants
b. Power of suppliers
c. Competition among competitors
d. Bargaining power of buyers
Select the correct answer using the codes given below.

In a 100 m race, A runs at 8 km per hour. A gives B a start of 4 m and still beats him by 15 seconds, what is the speed of B?

Peter can cover a certain distance in 1 hour 24 minutes by covering two-thirds of the distance at 4 kmph and the rest at 5 kmph. The total distance is :

If $ L = 40\,\text{mH} $, $ C = 100\,\mu\text{F} $, what is the angular frequency $ \omega $ at resonance?

What number should replace the question mark (?) ?

Given below are two statements : Statement I : The classic triad of congenital defects in “Congenital Rubella Syndrome” are deafness, cardiac malformations and cataracts. Statement II : The Rubella vaccine should be given to every pregnant woman during early pregnancy. In the light of the above statements, choose the most appropriate answer from the options given below :

$ (20)^2 - \sqrt{324} = $

A homogeneous azeotropic distillation process separates an azeotropic AB binary feed using a heavy entrainer, E, as shown in the figure. The loss of E in the two product streams is negligible so that E circulates around the process in a closed- circuit. For a distillation column with fully specified feed(s), given operating pressure, a single distillate stream and a single bottoms stream, the steady-state degrees of freedom equals 2. For the process in the figure with a fully specified AB feed stream and given column operating pressures, the steady-state degrees of freedom equals

How many pairs of letters are there in the word ‘EFFECT’ which have as many letters between them in the word as in the alphabet?

14g of cyclopropane burnt completely in excess oxygen. The number of moles of water formed is:

Given two force vectors:
\[ \vec{F}_1 = 2\hat{i} + 3\hat{j} - \hat{k}, \quad \vec{F}_2 = \hat{i} + \hat{j} + \hat{k} \] What is the magnitude of the resultant force?

There are five sentences marked as I, II, III, IV, and V. The position of I is fixed as the first sentence of the passage. Choose one of the four alternatives given below as the most logical sequence of the sentences in the passage.

The percentage error in the measurement of mass and velocity are 3% and 4% respectively. The percentage error in the measurement of kinetic energy is:

A → P is a first order reaction. The following graph is obtained for this reaction. (x-axis = time; y-axis = conc. of A). The instantaneous rate of the reaction at point C is

Clark's formula………

If the line \[ 2x + by + 5 = 0 \] forms an equilateral triangle with \[ ax^2 - 96bxy + ky^2 = 0, \] then $ a + 3k $ is: \

$L$ is a lower triangular matrix with all Principal diagonal elements equal to 1 and $U$ is an upper triangular matrix such that \[ LU = \begin{bmatrix} 1 & 3 & 0 \\ 3 & 7 & 1 \\ 2 & 8 & 3 \end{bmatrix}, \] then the Trace of $L$ + Trace of $U$ =

For the matrix \[ \begin{bmatrix} 2 & 1 & 1 \\ 0 & 2 & 1 \\ 1 & 0 & 1 \end{bmatrix}, \] an Eigen vector among the following vectors is

What is the unit of transfer data from main memory to cache memory?