CDS || Elementary Mathematics || Number System || Power & Roots || Quiz 2020

Find x if 3^2x-1 + 3^2x+1 = 270.

Consider the following statements

i. The cube of a two digit number may have seven or more digits

ii. A number ending with 3 may have its cube root which ends with 9

iii. There is no perfect cube of three digit which ends with 7

Which of the statement(s) given above is/are correct?

Find cube root of 4826809

Find the least number which must be multiplied with 224939 to get a perfect cube :

For what value(s) of x is  is perfect square ?

Which surd is the largest

If , then, the value of  ?

If  , then what will be the value of  ?