# Free IIT JEE IIT JEE MAINS Worksheets

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## Sample IIT JEE IIT JEE MAINS Worksheet Questions

1.

Find the number of points of discontinuity:
$f(x)&space;=&space;[2\sin(x)&space;+&space;\sqrt{3}\cos&space;(x)&space;]$ where [] denotes the greatest integer function.

1.

1

2.

0

3.

4

4.

5

2.

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

3.

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

4.

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

5.

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

6.

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

7.

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

1.

Gate

2.

Brag

3.

Rage

4.

Igloo

5.

Great

8.

Identify the sentence with a SPELLING MISTAKE.

1.

It is neccessary to drink enough water daily.

2.

Having a balanced diet is extremely important.

3.

Spinach is plentiful in Minerals like Iron and Calcium.

4.

Tomatoes and Lemons are good sources of Vitamin C.

5.

It is important to brush your teeth daily.

9.

Select the best option to fill this blank
People ________ to the Moon.

1.

Has traveled

2.

Have been traveled

3.

Have traveled

4.

5.

Travelling

10.

Identify the sentence which is correct in every way
Sunday-every-Rashmi-Veena-and-church-near-house-the-their-go-to

1.

Rashmi and Veena every Sunday go to the church near their house.

2.

Rashmi and Veena go to the church near their house every Sunday.

3.

Every Sunday near the church Rashmi and Veena go to their house.

4.

Every Sunday near their house Rashmi and Veena go to the church.

5.

Every Sunday their house Rashmi and Veena go to the near church.

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