MEDIUM
Earn 100

Samrud, Saket, Slok, Vishwa and Arish have different amounts of money in rupees, each an odd number which is less than 50. The largest possible sum of these amounts (in Rupees) is

Important Questions on Number Systems

MEDIUM
There are exactly twelve Sundays in the period from January 1 to March 31 in a certain year. Then, the day corresponding to February 15 in that year is
EASY
The expression 14m-6m will always divisible by:
EASY
If a=2, b=3, c=4  then find the value of  ab+bc+ca-a2-b2-c23abc-a3-b3-c3.
EASY

Consider the following statements:

(i) For every positive real number x,x-10 is positive.

(ii) Let n be a natural number. If n2 is even, then n is even. f

(iii) If a natural number is odd, then its square is also odd.

Then

MEDIUM

Rationalise the denominator and simplify :

5+35-3

EASY
Find the largest number so that when it divides 258 and 398, a remainder 13 is left in both cases.
MEDIUM
If x=13-22 and y=13+22, then find the value of x+y.
MEDIUM
Suppose p,q,r are positive rational numbers such that p+q+r is also rational. Then
EASY

When the digits within the number are multiplied with each other, the product of which of the following numbers is the lowest?

435,224,823,902

MEDIUM
If x=5223+52, then the value of x10+2x10+25 is 
EASY

Which among the following is not an irrational number?

EASY
Let a1,a2,a3,a4 be real numbers such that a1+a2+a3+a4=0 and a12+a22+a32+a42=1. Then the smallest possible value of the expression a1-a22+a2-a32+a3-a42+a4-a12 lies in the interval
 
EASY
What smallest number should be added to the sum of squares of 15 and 14; so that the resulting number is a perfect square?
MEDIUM
Half of which number is 18 more than its one fifth 15th
HARD
A positive number exceed its positive square root by 30. Find the square of that number:
EASY
The square root of which of the following is a rational number?
EASY
The sum of the squares of 3 natural numbers is 1029, and they are in the proportion 1:2:4. The difference between greatest number and smallest number is:
MEDIUM
The number of positive integers n in the set 2,3,..,200 such that 1n has a terminating decimal expansion is