List of practice Questions

At a certain conference of 100 people, there are 29 Indian women and 23 Indian men. Of these Indian people 4 are doctors and 24 are either men or doctors. There are no foreign doctors. How many foreigners and women doctors are attending the conference?
In a town of 10,000 families, it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% families buy newspaper C. 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the newspapers, then
The set A = {x : x $\in$ R, $x^2$ = 16 and 2x = 6} equals
A manufacturer has $600$ litres of a $12\%$ solution of acid. How many litres of a $30\%$ acid solution must be added to it so that acid content in the resulting mixture will be more than $15\%$ but less than $18\%$?
A mark placed on the surface of a sphere is viewed through glass from a position directly opposite. If the diameter of the sphere is $10\, cm$ and refractive index of glass is $1.5$. The position of the image will be
A man travels 1 mile due east, then 5 miles due south, then 2 miles due east arid finally 9 miles due north. His displacement is.
A man wants to cut three lengths from a single piece of board of length $91\, cm$. The second length is to be $3\, cm$ longer than the shortest and the third length is to be twice as long as the shortest. The possible length of the shortest board, if the third piece is to be at least $5\, cm$ longer than the second, is
A man wants to reach from $A$ to the opposite corner of the square $C$ (Figure). The sides of the square are $100\,m$ each. $A$ central square of $50\,m \times 50\,m$ is filled with sand.
Outside this square, he can walk at a speed $1\,m\,s^{-1}$. In the central square, he can walk only at a speed of $v\,ms^{-1}\, (v < 1)$. What is smallest value of $v$ for which he can reach faster via a straight path through the sand than any path in the square outside the sand?
A man weighing $ 60 \,kg $ climbs up a staircase carrying a load of $ 20 \,kg $ on his head. The staircase has $ 20 $ steps each of height $ 0.2\, m $ . If he takes $ 10\, s $ to climb, find his power.
A man standing in a lift falling under gravity releases a ball from his hand. As seen by him, the ball
A man stands on a rotating platform with his arms stretched holding a $5\, kg$ weight in each hand. The angular speed of the platform is $1.2 \,rev \,s^{-1}$. The moment of inertia of the man together with the platform may be taken to be constant and equal to $6 \,kg \,m^2$ . If the man brings his arms close to his chest with the distance of each weight from the axis changing from $100\, cm$ to $20 \,cm$. The new angular speed of the platform is
A man throws a ball vertically upward and it rises through 20 m and returns to his hands. What was the initial velocity (u) of the ball and how much time (T) is remained in the air? (Take $g = 10\, m\, s^{-2}$)
A man on the railway platform is just 9 m behind the entrance door of a train, when the train begins to move with a uniform acceleration of $2 \,m\, s^{-1}$ starting from rest. The man immediately picks up a uniform speed to get into the train and he just boards the train. Find the speed he picks up.
A man of mass 60 kg is riding in a lift. The weight of the man, when the lift is accelerating upwards and downwards at 2 $ms^{-2}$, are respectively . (Taking g = 10 $ms^{-2})$
A man is known to speak truth $3$ out of $4$ times. He throws a die and reports that it is a six. Find the probability that it is actually a six.
A man is sitting in a boat which is floating in a pond. If the man drinks some water from the pond, the level of water in the pond
A man of mass 100 kg is standing in an elevator. If the cable of the elevator breaks suddenly, the apparent weight of man will be
A man can swim with a speed of $4\,km\,h^{-1}$ in still water. He crosses a river $1\,km$ wide that flows steadily at $3\,km\,h^{-1}$. If he makes his strokes normal to the river current, how far down the river does he go when he reaches the other bank?
A man in a balloon rising vertically with an acceleration of $4.9\, m\, s^{-2}4$ releases a stone 2 seconds after the balloon is let go from the ground. The greatest height above the ground reached by the stone is (Take $g = 9.8 \,m \,s^{-2}$)
A magnetic pole of pole strength 9.2 A m. is placed in a field ofinduction $50 \times10^{-6}$ tesla. The ferce experienced by the pole is
A magnetic field in a certain region is given by $B=(40\hat{i}-15\hat{k})\times 10^{-4} T$. The magnetic flux passes through a loop of area $5.0 \,cm^2$ is placed flat on xy plane is
A magnet is moved towards the coil (i) quickly (ii) slowly then the induced emf is
A magnet makes 10 oscillations per minute at a place where the angle of dip is $45^{\circ}$ and the total intensity is 0,4 gauss. The number of oscillations made per sec by the same magnet at another place where the angle of dip is $60^{\circ} $ and the total intensity 0.5 gauss is approximately.
A magnet of length 10 cm and magnetic moment $1Am^2$ is placed along the side of an. equilateral triangle of the side AB of length 10 cm. The magnetic induction at third vertex third vertex C is
A lyophobic colloid cannot be formed by