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reading comprehension

reading comprehension

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two squares are choosen at random on a chess board. what is the probability that they have a side in common? Is there any shortcut for this sum

How to solve 20+ questions in quant in 20 minutes?

XY=9,XZ=12, ZX=15 a perpendicular is drawn from Y to meet at ZX at A and a circle with Diameter AY is drawn which cuts XY and YZ at B and C respectively.what is the ratio of BX:CZ

How to solve this one... can someone pls give detailed steps?The integers 1, 2, …, 40 are written on a blackboard. The following operation is then repeated 39 times: In each repetition, any two numbers, say a and b, currently on the blackboard are erased and a new number a + b – 1 is written. What will be the number left on the board at the end?

How to solve tournament related questions?
Specifically a question in the mock cat 1, Question set 59-62?

When all students in a school are made to stand in a row of 54, 30 such rows are formed. If the students are made to stand in the rows of 45, how many such rows can be formed ?

When all students in a school are made to stand in a row of 54, 30 such rows are formed. If the students are made to stand in the rows of 45, how many such rows can be formed ?