Class XI Revision Quiz Super Sunday for JEE & BITSAT Exams

Question 1

The first term of an AP is 2 and common difference is an integer greater than 0. What are the possible values of common difference if sum of first ten terms of the AP is less than or equal to 155.

Question 2

The government wants to recruit 1 pilot (age range 30-35), 1 co-pilot (age range 25-30),3 Air hostess( 15-25),2 cleaners, 2 guards and they have selected the following people for the last round as mentioned in the table provided with age limits. Find the total number of selections.

Question 3

A point P is selected randomly from the interior of the circle, then the probability that it is closer to the center of the circle rather than its boundary is:

Question 4

In how many ways 10 identical oranges can be given to 3 children from 3 baskets having 7,6,4 oranges respectively?

Question 5

Let R be a real line with the following as subsets of R x R
S={(x,y):y=x+1 and 0<x<2}
T{(x,y):x-y is an integer} Which is true on R?

Question 6

If R be a relation defined as aRb iff |a- b|> 0, then the relation is

Question 7

If f(x+y)=f(x)f(y), ∀ x,y ∈R and f(1)=2, then area enclosed by 3|x|+2|y|≤8 is _____

Question 8

The angle between the curve x² + y² - 8x +2y+16=0 at the point (3,2) and the line y=5x-2c is

Question 9

Equation of circle with center on the line

and touching the lines

,

.

Question 10

Suppose S₁ and S₂ are two unequal circles; AB and CD are the direct common tangents to these circles. A transverse common tangent PQ cuts AB in R and CD is S. If AB=10, then RS is

Question 11

A screw gauge of least count 0.005 mm has 200 division on its circular scale. In this screw gauge, when the gap is closed without placing any object, the 10^th division on its circular scale coincided with the reference line on main scale, and when a small spherical ball is placed, reading on main scale is 8, whereas 30^th division on its circular scale coincided with the reference line on main scale. The radius of the spherical ball is:-

Question 12

Young's modulus of a wire is given by measuring the ratio of force applied to it and the extension in the wire. If the percentage error in the measurement of the force, radius, and extension each are 1

, then the error in the value of Young’s modulus is

Question 13

On an inclined plane of inclination 30°, a ball is thrown at an angle of 60° with the horizontal from the foot of the incline with velocity of

ms^–1. If g = 10 ms^–2, then the time in which ball hit the inclined plane is-

Question 14

The acceleration-time graph of a body is shown below

The most probable velocity-time graph of the body is

Question 15

A boat capable of a speed v in still water wants to cross a river of width d. The speed of the water current increases linearly from zero at either bank to a maximum of u at the middle of the river. When the boat is rowed at right angles to the bank, its downstream drift is

Question 16

A particle moves with a constant speed u along the curve y = sin x. The magnitude of its acceleration at the point corresponding to x = π/2 is

Question 17

A student is standing at a distance of 25 metre from a bus. As soon as the bus starts with an acceleration of 2 ms^{− 2}, the student started running towards the bus with a uniform velocity u (bus is moving away from student). Assuming the motion to be along a straight road, the minimum value of u (in m/s) , so that the student is able to reach the bus is

Question 18

A solid cube of wood of side

and mass

is resting on a horizontal surface as shown in the figure. The cube is free to rotate about the fixed axis

A bullet of mass

and speed v is shot horizontally at the face opposite to ABCD at a height h above the surface to impart the cube an angular speed ωc so that the cube just topples over. Then ωc is (note: the moment of inertia of the cube about an axis perpendicular to the face and passing through the centre of mass is 2Ma³/3)

Question 19

When a spring is stretched by 10 cm, the potential energy stored is E. When the spring is stretched by 10 cm more, the potential energy stored in the spring becomes

Question 20

How much minimum horse power should a motor of an elevator deliver in order to carry its self-weight of 1200 Kg and goods of 800 Kg and move in upward direction with constant velocity of 4 m/s if the frictional force opposing the motion is 2000 N? [1 Horse Power = 746 Watts]

Question 21

A constant current (0.5 amp) is passed for 1 hour through (i) aqueous AgNO₃, (ii) aqueous CuSO₄ and (iii) molten AlF₃, separately. The ratio of the mass of the metals deposited on the cathode is
[

are molar masses of the respective metals]

Question 22

If a piece of nickel is to be gold-plated using an electrolytic process, which of these half reaction take place at cathode?

Question 23

A hydrogen atom sample in the ground state is excited by monochromatic light radiation of wavelength λÅ. The resulting spectrum consists of maximum 15 different lines. What is λ?
(R=109677cm^-1)

Question 24

2.63 The bond dissociation energy of H-H bond is 400KJ/mol. The energy required to excite 0.04 moles of H₂ gas to the first excited state is

Question 25

What should be the quantum number of the highest energy state when an electron falls from the highest energy state to Lyman series and for this transition wave number will be = 97546 cm^-1?

Question 26

The electronegativities of C, N, Si and P are in the order of

Question 27

Consider the following ionization enthalpies of two elements ‘A’ and ‘B’.

Which of the following statements is correct?

Question 28

The first ionisation energy of Ar is less than that of Ne. An explanation of this fact is that

Question 29

The atomic numbers of vanadium (V), chromium (Cr), manganese (Mn) and iron (Fe) are respectively 23, 24, 25 and 26. Which one of these may be expected to have the highest second inonization enthalpy?

Question 30

The increasing order of the ionic radii of the given isoelectronic species is :