Probability of Positive Integers being Coprime !

What is the probability that six randomly chosen positive integers are relatively prime ?

The sunrise problem

Two women start walking at the sunrise, one from point A to B and another from point B to A. The pass each other exactly at noon. The first...
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Calculate A+B+C+D

Find (A + B + C + D) such that AB x CB = DDD, where AB and CB are 2-digit numbers and DDD is a 3-digit number.
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Puzzle

Can you solve in 1 minute?? Can you solve in 50 seconds? can you solve in 30 seconds? can you solve in 10 seconds? Mention the time that you...
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Simplify

Simplify: 4(x-3)-x(a-2)-3
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Find highest share?

If 500 is shared in the ratio 2：3：5, what will be the highest share?

calculate angle X

The two straight lines CD and AB are parallel to each OAB = 60 OCD = 110 Angle X.
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Speed of the boat in stream

Upstream boat speed=18km/hr and this speed is 500% more than stream speed. What is the downstream speed of the boat? Source
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Differentiate

Find dy/dx Problem source
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Faster runner, slower runner

Two runners start on a straight one-mile race track. The slower runner S is given a handicap and starts first. The faster runner F then starts and after 4...
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Distance Between Two Places & Time Taken !

Manish and Rajni start from a place M at the same time to reach another place R. Manish travels at a constant speed of 21 kmph, while Rajni starts with...
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How Many Numbers Divisible ?!

How many integers from 100 to 10000, inclusive, are exactly divisible by 6 or 11 or 14 or 15 but neither divisible by 30 nor by 42 ?

Solve the given definite integral for fractional x
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Simultaneous eqn – iii

Solve the following simultaneous equations
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Maximum value of 2x+3y

If (x,y) lies on a circle of a radius 5 with the origin as its center, find the maximum value of (2x + 3y)
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Probability of a fisherman

Every day a fisherman can choose to fish at sea, by a river, or at a lake. The probability that he fishes at sea, by the river, and at...
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How many coins can cover the entire table?

A rectangular table has 100 coins placed on it (centers must be on the table) such that none of the coins overlap, and it is impossible to place any...