EASY
Earn 100

What is the result after rationalising the denominator of the expression

$ \frac{1}{\sqrt{5}+\sqrt{6}-\sqrt{11}}$ once?

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Important Questions on Number Systems

MEDIUM
The number of positive integers n in the set 2,3,..,200 such that 1n has a terminating decimal expansion is
MEDIUM
If x=13-22 and y=13+22, then find the value of x+y.
MEDIUM
Half of which number is 18 more than its one fifth 15th
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
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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

EASY
Find the largest number so that when it divides 258 and 398, a remainder 13 is left in both cases.
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If a=2, b=3, c=4  then find the value of  ab+bc+ca-a2-b2-c23abc-a3-b3-c3.
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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
If x=5223+52, then the value of x10+2x10+25 is 
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The expression 14m-6m will always divisible by:
MEDIUM

Rationalise the denominator and simplify :

5+35-3

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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
 
MEDIUM
If x and y are positive real numbers, then which of the following is Correct?
MEDIUM
If N=5+2+5-25+1-3-22 , then N equals _______
MEDIUM
What is the remainder when 9875347 × 7435789 × 5789743 is divided by 4 ?
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If 17 can be expressed as kk, then find the value of k.
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If the rationalised form of 17-6 is in the form a+b then, write the value of a+b as final answer.

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If the rationalized form of 15+2 is 5-2k, then find the value of k.