CHAPTER-1 REAL NUMBER (SET-3)

Questions in this test

1. The smallest number by which $\sqrt{27}$ should be multiplied so as to get a rational number is
2. If two positive integers ‘x’ and ‘y’ are y are expressible in the form of $x =pq^3$ and y = $p^3q^2$,where p,q are prime numbers then, HCF (x, y) = ?
3. Decimal expansion of rational number $\frac{15587}{125}$ will teminat after _______.
4. If the LCM and HCF of two rational numbers are equal, then the number must be
5. The remainder when the square of any prime number quarter than 3 is divided by 6, is
6. If $m=2^3×3,n = 2×3×5, p=3^a×5$ and LCM $(m,n,p)= 2^3×3^2×5,$ then ‘a’ = ?
7. Any contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is one maximum number of columns in which they can march?
8. Product of a non-zero number and an irrational number is _______
9. If the HCF of 65 and 117 is expressible in the form 65m -117, then the value of m is
10. The values of the remainder ‘r’ when a positive integer ‘a’ is divided by 3 are