List of practice Questions

A fielder in a cricket match throws ball from the boundary line to the wicket keeper. The ball describes a parabolic path. Which of the following quantities remain constant during the motion in air? (Neglecting air resistance)
A fighter plane flying horizontally at an altitude of $1.5\,km$ with speed $720\,km\,h^{-1}$ passes directly overhead an anti-aircraft gun. At what angle from the vertical should the gun be fired for the shell with muzzle speed $600\,ms^{-1}$ to hit the plane. (Take $g = 10\,ms^{-2}$)
A figure consists of a semi-circle with a rectangle on its diameter. Given the perimeter of the figure, find its dimensions in order that the area may be maximum.
A fibrous root system is best adapted to perform which one of the following functions?
A faulty thermometer has $90.5^{\circ} \,C$ and $0.5^{\circ} \,C$ as upper and lower fixed points respectively. What is the correct temperature if this faulty thermometer reads $15.5^{\circ} C$
A factory owner wants to purchase two types of machines, $A$ and $B$, for his factory. The machine $A$ requires an area of $1000 m^2$ and $12$ skilled men for running it and its daily output is $ 50$ units, whereas the machine $B$ required $1200m^ 2$ area and $8$ skilled men, and its daily output is $40$ units. If an area of $7600 m^2$ and $72$ skilled men be available to operate the machine, how many machines $A$ and $B$ respectively should be purchased to maximize the daily output?
$A$ event which has only $X$ sample point of a sample space, is called simple event. Here, $X$ refers to______.
Flowers arranged centrifugally around a receptacle constitute
Inflorescence of Solanum nigrum is
Flat leaf-like cladodes occur in
Parallel venation is unicostate in
Peduncle is reduced to a point in racemose inflorescence
Petiole is flattened to form sickle shaped photosynthetic structure in Acacia longifolia which is called
Floral buds are modified into tendrils in
Scorpioid branching is found in
Straggling rhizome with sympodial branching is
A ''double star'' is a composite system of two stars rotating about their center of mass under their mutual gravitational attraction. Let us consider such a ''double star'' which has two stars of masses 'm' and '2m' at a separation '1'. If T is the time period of rotation about their enter of mass then.
A drawer contains 5 brown socks and 4 blue socks well mixed. A man reaches the drawer and pulls out 2 socks at random. What is the probability that they match ?
A drunkard walking in a narrow lane takes 8 steps forward and 6 steps backward, followed again by 8 steps forward and 6 steps backward and so on. Each step is 1 m long and requires 1 s. Determine how long the drunkard takes to fall in a pit 18 m away from the start
In deliquenscent trees, the crown is
A double convex lens made of glass of refractive index $1.56$ has both radii of curvature of magnitude $20 \,cm$. If an object is placed at a distance of $10 \,cm$ from this lens, the position of the image formed is
A double convex lens of focal length f is cut into 4 equivalent parts. One cut is perpendicular to the axis and the other is parallel to the axis of the lens. The focal length of each part is
A dithecous anther consists of $(i)$ microsporangia, $(ii)$ in each lobe.
A dispersion of AgCl in water is
A dikaryon is formed when