Prelims

Carpenter A can make a chair in 6 hours, carpenter B in 7 hours, and carpenter C in 8 hours. If each carpenter works for 8 hours per day, how many chairs will be made in 21 days?

What is the number of terms in the series 117, 120, 123, 126,….., 333?

In the series AABABCABCDABCDE…… Which letter occupies the 100th position?

Which one of the following is the correct sequence in respect of the Roman numerals-C, D, L, and M?

How can the height of a person who is six feet tall be expressed (approximately) in nanometers?

A person is sitting in a car which is at rest. The reaction from the road at each of the four wheels of the car is R. When the car runs on a straight level road, how will the reaction at either of the front wheels vary?

How many different triangles are there in the figure shown above?

There are two identical red, two identical black, and two identical white balls. In how many different ways can the balls be placed in the cells such that balls of the same color do not occupy any two consecutive cells?

There are 6 different letters and 6 correspondingly addressed envelopes. If the letters are randomly put in the envelopes, what is the probability that exactly 5 letters go into the correctly addressed envelopes?

In how many different ways can all of 5 identical balls be placed in the cells such that each row contains at least 1 ball?