exam Maths Puzzle

In how many ways can a leap year have 53 Sundays?

A.

365C7

B.

7

C.

4

D.

2

Read Solution (Total 1)

In a leap year there are 366 days i.e. 52 weeks + 2 extra days.

So, to have 53 Sundays one of these two days must be a Sunday.

This can occur in only 2 ways.

i.e. (Saturday and Sunday) or (Sunday and Monday).

Thus number of ways =2
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exam Other Question

There are 20 couples in a party. Every person greets every person except his or her spouse. People of the same sex shake hands and those of opposite sex greet each other with a namaskar (It means bringing one's own palms together and raising them to the chest level). What is the total number of handshakes and namaskar's in the party?

A.

760

B.

1140

C.

780

D.

720 In a certain laboratory, chemicals are identified by a colour-coding system. There are 20 different chemicals. Each one is coded with either a single colour or a unique two-colour pair. If the order of colours in the pairs does not matter, what is the minimum number of different colours needed to code all 20 chemicals with either a single colour or a unique pair of colours?

A.

7

B.

6

C.

5

D.

8