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Free IIT JEE IIT JEE MAINS worksheets

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1.

Q.1 Range of the function   ; x ∈ R is 

1.

(1,∞)

2.

b)  (1,11/7)

3.

c) (1,7/3)

4.

d) (1,7/5)

2.

A body is resting on the surface of earth. At this time the accelation experienced by the body is 

1.

0 because it is not in state of motion. 

2.

9.8 m/s^2 

3.

9.8 m/s^2 downward and this accelaration is the reason for the weight of the Body 

4.

The body experiences 9.8 m/s^2 accelartion upwards. 

3.

An object placed at rest at a distance 'r' from Sun will fall towards it with an acceleration: (r >>> radius of sun)

1.

v²/r, where v = orbital speed of earth and r is distance of earth/object from sun.

2.

GM/r², where G is universal constant of gravitation and M is mass of sun.

3.

GM/r, where G is universal constant of gravitation and M is mass of sun.

4.

independent of mass of the object.

4.

Find the number of points of discontinuity:
 where [] denotes the greatest integer function.

1.

1

2.

0

3.

4

4.

5

5.

A species mutiplies double fold in a day. If it is 512000 in count on 10th day, when was it exactly 32000?

1.

3 days from start

2.

7 days from start

3.

1 day from start

4.

6 days from start

6.

Let A and B be two finite sets such that n(A) = m and n(B) = n.
If the ratio of the number of power sets of A and B is 64.
and n(A) + n(B) = 32.
Find the value of n and m

1.

19,13

2.

13,19

3.

20,12

4.

12,19

7.

Which is the correct order in descending among the three means?

1.

AM,GM,HM

2.

GM,AM,HM

3.

AM,HM,GM

4.

None of the above

8.

Which is the correct order in descending among the three means?

1.

AM,GM,HM

2.

GM,AM,HM

3.

AM,HM,GM

4.

None of the above

9.

Shahrukh Khan is a "famous" actor today.But when he came to Mumbai several years ago, he was almost _____________.
Which word is OPPOSITE in meaning to "famous" and can be used to complete the sentence given above?

1.

Poor

2.

Unknown

3.

Familiar

4.

Worthless

5.

Small

10.

Which of the following words has the SAME sound of 'G' as in "giant"?

1.

Gate

2.

Brag

3.

Rage

4.

Igloo

5.

Great

- OR -

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