List of practice Questions

A new system of units is evolved in which the values of $\mu_0$ and $\epsilon_0$are 2 and 8 respectively. Then the speed of light in this system will be
The series combination of two capacitors shown in figure is connected across 1000V. The magnitude of the charges on the capacitors will be
In a P-type semiconductor, the acceptor impurity produces an energy level
In the presence of magnetic field ?B? and electric field ?E?, the total force on a moving charged particle is
The volume of the tetrahedron with vertices P (-1, 2, 0), Q ( 2, 1, -3), R (1, 0, 1) and S (3, -2, 3) is
$If \, \, \vec{a}=\hat{i}+2\hat{j}+3\hat{k}, \, \vec{b}= \, -\hat{i}+2\hat{j}+\hat{k}$ and $\vec{c} \, = \, 3\hat{i}+\hat{j}$ then t such that $\vec{a}+t\vec{b}$ is at right angle to $\vec{c}$ will be equal to
What are the values of $x$ and $y$ that satisfy both the equations?
$2^{0.7x} \cdot 3^{-1.25y} = \frac{8\sqrt{6}}{27}$
$4^{0.3x} \cdot 9^{0.2y} = 8 \cdot (81)^{\frac{1}{5}}$
A, B and C start a business each investing Rs 20000. After 5 months A withdrew Rs 5000, B Rs 4000 and C invested Rs 6000 more. At the end of the year a total profit of Rs 69900 was recorded. What is the share of B?
On the set $Q$ of all rational numbers the operation $\star$ which is both associative and commutative is given by $a \star b$, is:
A boy begins to walk eastward along a street In front of his house, and the graph of his displacement from home is shown in the following figure. His average velocity for the whole time interval is equal to:
If for a sucrose solution, elevation in boiling point is $0.1^{\circ} C, $ then what will be the boiling point of $NaCl$ solution for same molal concentration?
Read the following information carefully and then answer the questions given below:
P # Q means P is the father of Q
P + Q means P is the mother of Q
P - Q means P is the brother of Q
P * Q means P is the sister of Q
If A + B # C - D, then A is D's
Read the following information carefully and then answer the questions given below:
P # Q means P is the father of Q
P + Q means P is the mother of Q
P - Q means P is the brother of Q
P * Q means P is the sister of Q
Which of the following shows that A is the Aunt of E?
Nalini, her brother, her daughter and her son are tennis players and are playing game of doubles. Their positions on the court are as follows: Nalini's brother is directly across the net from her daughter. Her son is diagonally across the net from the worst player's sibling. The best player and the worst players are on the same side of the net. Who is the best players?
In certain code language 'PROMOTION' is written as 'QSP89'. How will you write 'DEMOTION'?
Study this matrix.
In this game there are two players. The first player can split the matrix vertically into two equal halves and choose one half for further play. The next move on this half is by the other player who will be split it only horizontally and choose one half for further play. The game will continue in this manner. At the end, the last number left is the first player's gain. If you start the game, retain the right half and, again right half after your opponent's move, then how should your opponent play to minimize your gain?
6251
3147
4195
3124
What is the next letter in the series?
U, F, Q, J, M, N
Sonal, a mathematician defines a number as 'connected by 6' if it is divisible by 6, or if the sum of digits is 6, or if 6 is one of the digits of the number. Other numbers are 'not connected by 6'. As per the definition, the number of integers, from 1-60 (both inclusive) which are not connected with 6 is
Leena, Nitin, Arun and Mohan crossed a lake in a canoe that could hold only two persons. The Canoe held two persons on each of three forward trips across the lake and one person on each of two return trips. Leena was unable to paddle when someone else was in the canoe with her. Nitin was unable to paddle when anyone else except Arun was in the canoe with him. Each person paddle continuously for at least one trip. Who paddled twice?
A, B, C, D, E, F and G are the members of a family consisting of 4 adults and 3 children, two of whom, F and G are girls, A and D are brothers and A is doctor. E is an engineer married to one of the brothers and has two children. B is married to D and G is their child. Who is C?
If every alternative letter of English Alphabet from B onwards (including B) is written in lower case (small letters) and the remaining letters are capitalized, then: How will be the first month of the second half of the year be written?
If $\sec \theta=m$ and $\tan \theta=n$ , then $\frac{1}{m}\left[(m+n)+\frac{1}{(m+n)}\right] $ is :
A sample of rock from moon contains equal number of atoms of uranium and lead. $t_{1 / 2}$ for $U =4.5 \times 10^{9}$ years. The age of the rock would be :
An equilateral triangle $BPC$ is drawn inside a square $ABCD$. What is the value of $\angle APD$ in degrees?
What is the principal sum?
I. The interest amount after 30 months is half the interest amount after 5 years.
II. The sum amounts to Rs 750 in a five years at simple interest rate
III. The rate of interest is 8% p.a.