If $$ {a^{x}={(x+y+z)^{y}}}, a^{y}=(x+y+z)^{z}  and \ a^{z}=(x+y+z)^{x}$$ then the value of (x +y +z) is

A sum of money becomes double in 3 years at compound interest compounded annually at the same rate. In how many years will it become four times of itself? 

if 50% of (x-y) =30% of (x+y), then what percentage of x is y?

Rahim bought a T.V. with 20% discount on list price. Had he bought it with 25% discount he would have saved ₹ 500. At what price did he buy the T.V?  

PQR is an equilateral triangle whose side is 10 cm . What is the value (in cm) of the inradius of triangle PQR ?

Average of 21 number is 36. If the average of first 12 numbers is 15, then find the average of remaining 9 number?

Find the least number which when divided by 12, 15, 18 and 27 leaves remainders 10, 13, 16 and 25 respectively.

many times will the buttons of a typewriter be pressed to write the numbers 121 to 1346?