Gate Exam Numerical Ability

A picnic invites two kinds of charges: bus fare, which is independent of the number of people attending the picnic and buffet lunch, which increases directly with an increase in the number of people. The charges are calculated to be Rs. 165 per head when there are 200 invitees and Rs. 170 per head when there are 150 invitees. What would be the charges per head when there are 100 invitees?

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Gate Other Question

One percent of the people of country X are taller than 6 ft, 2 percent of
the people of country Y are taller than 6 ft. There are thrice as many people
in country X as in country Y. Taking both countries together. What % of
people are taller than 6 ft?
Two pipes – A and B – can fill a cistern in 20 min and 30 min respectively. A tap C can empty the cistern in 25 min. If A, B and C are opened in that order with a time gap of 2 minutes each, how long will it take for the cistern to be full?

a.18+2/3
b.20+12/13
c.16+12/13
d.none