# Author: cbseassistance

## At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the present age of both Asha and Nisha.

At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10...

## At t minutes past 2 p.m., the time needed by the minutes hand of a clock to show 3 p.m. was found to be 3 minutes less than t^2/4 minutes. Find t.

At minutes past 2 p.m., the time needed by the minutes hand of a clock to show 3 p.m. was found to be 3 minutes less than t^2/4 minutes. Find t.

## A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train.

A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the...

## If a^x=b^y=c^z and b^2=ac, then, show that y=2zx/(z+x)

If a^x=b^y=c^z and b^2=ac, then, show that y=2zx/(z+x)

## If a^x=b,b^y=c and c^z=a, then, prove that xyz=1, where a,b,c are real numbers and x,y,z are rational numbers.

If a^x=b,b^y=c and c^z=a, then, prove that xyz=1, where a,b,c are real numbers and x,y,z are rational numbers.

## If p and q are rational numbers and p-√q=(4+√2)/(3+√2), find the values of p and q.

If p and q are rational numbers and p-√q=(4+√2)/(3+√2), find the values of p and q.

## If x=√((5+2√6)/(5-2√6)) , show that x^2 (x-10)^2=1

If x=√((5+2√6)/(5-2√6)) , show that x^2 (x-10)^2=1

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