## Triangular matrix

If U1, U2 are upper triangular and L1, L2 are lower triangular, which of the following are triangular? U1 + U2 U1U2 U12 U1 + L1 U1L1 L1 +...

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## Probability of Positive Integers being Coprime !

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

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## 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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## Number of Combinations !

In how many ways can you select 7 letters from the word MISSISSIPPIRIVER regardless of their orders?

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## Find highest share?

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

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## 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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## 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 ?

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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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