List of practice Questions

Which of the following does not depict the correct link between technology and physics?
An ideal refrigerator has a freezer at a temperature of $-13^{\circ} C$. The coefficient of performance of the engine is $5$. The temperature of the air (to which heat is rejected) is
Two planets $A$ and $B$ have the same material density. If the radius of $A$ is twice that of $B$, then the ratio of the escape velocity $V_{A} / V_{B}$ is
100, 50, 33.33, .............., 20
Two circular plates of radius $5\, cm$ each, have a $0.01\, mm$ thick water film between them. Then what will be the force required to separate these plate (S.T. of water = $73$ dyne/cm) ?
Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius $R$ around the sun will be proportional to
The power dissipated in the circuit shown in the figure is $30$ Watts. The value of $R$ is
A point charge $+q$ is placed at the centre of a cube of side $L$. The electric flux emerging from the cube is
When the temperature is raised, the viscosity of liquid decreases this is because
The area of the region bounded by the curve $y=x |x|, x$-axis and the ordinates $x=1, x=$ $-1$ is given by:
An object moving at a speed of $ 5\,m/s $ towards a concave mirror of focal length $ f = 1\, m $ is at a distance of $ 9\, m $ . The average speed of the image is
Determine the value(s) of “a” for which the point $(a, a^2)$ lies inside the triangle formed by the lines: $2x+3y=1$, $x+2y=3$ and $5x-6y=1$.
In a circular field, AOB and COD are two mutually perpendicular diameters having length of 4 meters. X is the mid-point of OA. Y is the point on the circumference such that $\angle YOD = 30^\circ$. Which of the following correctly gives the relation among the three alternate paths from X to Y?
If x and y are real numbers, then the minimum value of $x^2 + 4xy + 6y^2 - 4y + 4$ is
Let X be a four-digit positive integer such that the unit digit of X is prime and the product of all 4 digits of X is also prime. How many such integers are possible?
There are two types of employees in Sun Metals, general graduates and engineers. 40% of the employees in Sun Metals are general graduates, and 75% of the engineers earn more than Rs. 5 lakh/year. If 50% of the organisation’s employees earn more than Rs. 5 lakh/year, what proportion of the general graduates employed by the organisation earn Rs. 5 lakh or less?
In an equilateral triangle ABC, whose length of each side is 3 cm, D is the point on BC such that BD = (1/2) CD. What is the length of AD?
Two poles of height 2 meters and 3 meters are 5 meters apart. The height of the point of intersection of the lines joining the top of each pole to the foot of the opposite pole is:
A manufacturer has 200 litres of acid solution which has 15% acid content. How many litres of acid solution with 30% acid content may be added so that acid content in the resulting mixture will be more than 20% but less than 25%?
The supervisor of a packaging unit of a milk plant is being pressurised to finish the job closer to the distribution time, thus giving the production staff more leeway to cater to last-minute demand. He has the option of running the unit at normal speed or at 110% of normal – “fast speed”. He estimates that he will be able to run at the higher speed for 60% of the time. The packet is twice as likely to be damaged at the higher speed which would mean temporarily stopping the process. If a packet on a randomly selected packaging run has probability of 0.112 of damage, what is the probability that the packet will not be damaged at normal speed?
The operation $(x)$ is defined by: (i) $(1)=2$
(ii) $(x+y)=(x)\cdot(y)$
for all positive integers $x$ and $y$.
If $\sum_{x=1^{n} (x)=1022$, then $n=$ ?}
Amarendra and Dharmendra are brothers. One day they start at the same time from their home for Tatanagar railway station in their respective cars. Amarendra took 25 minutes to reach the station. After reaching the station Amarendra found that Dharmendra is 2500 m away from the station. The distance of Tatanagar Station from their home is 15 km. Next day Dharmendra decided to start 7 minutes early. If they drive at the same speed as the previous day then Amarendra will reach the station:
Let S1, S2, … be the squares such that for each n ≥ 1, the length of the diagonal of Sn is equal to the length of the side of Sn+1. If the length of the side of S3 is 4 cm, what is the length of the side of Sn?
In a clock having a circular scale of twelve hours, when time changes from 7:45 A.M. to 7:47 A.M., by how many degrees the angle formed by the hour hand and minute hand changes?
If all letters of the word "CHCJL" be arranged in an English dictionary, what will be the 50th word?