Saurav and Dravid play the following game on the board which is a rectangle 1 × 10 divided into 10 consecutive squares. There is a coin on the first square. Each player in his turn can move it forward by one,two or three squares. The winner is the one who finishes first by placing the coin on the last (tenth) square. Saurav starts first. How he should play in order to win regardless of the moves of his opponent?

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Arithmetic

An explorer is going on a 10 day march. He is hiring bearers to carry food and supplies for him. Each person including himself can carry food and supplies of one man for 6 days. Bearers will die if they don’t have enough food and supplies on their way back.
How many bearers does Burton need if he’s to complete his march and the bearers are to return safely?
a) 3
b) 4
c) 5
d) 8
e) more than 8 

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There are ten pairs of identical white socks, twelve pairs of identical black socks and 14 pairs of identical red socks, all of which are kept in a box you now randomly draw a few socks from the box.

1. If you have to be certain of drawing at least one pair of socks of the same colour, then what is the minimum number of socks that you have to draw from the box?

2. If you have to be certain of drawing at least one pair of socks of each colour, what is the minimum number of socks that you have to draw from the box?

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Happy Engineer’s Day


Three engineers work for the same company. Their names are : Mihir , Nakul and Omkar . their surnames are Gambhir , Hebale and Ingle , but not respectively . Their ages are 40, 45 and 50, but not respectively . From the three clues given below can you discover the full name and each engineer ?

Mr Gambhir is 10 years older than Omkar . Mr Ingle is 45 years old. Nakul is younger than Mr Gambhir . Who is who and how old is each of them ?

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Pappu visited the island of TolaGola where he met three persons Jai, Veeru and Gabbar who belong to three different tribes Junglee, Manglee and Tangabali (not necessarily in that order). A person belonging to Junglee tribe always speaks the truth, A person belonging to Manglee tribe always tells a lie. If one statement of a person from Tangabali tribe is false, his next statement will definitely be true and vice versa.

Following are some statements given by them:

Jai: I always speak the truth. I belong to Tangabali tribe.

Veeru: I never lie. I belong to Junglee Tribe.

Gabbar: I always lie. I belong to Junglee tribe.

Who does always lie among them?

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