If x and y are natural numbers such that x + y = 2017, then what is the value of (– 1)x+ (– 1)y?
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If α and β are the roots of the equation x2+ x – 1 = 0, then what is the equation whose roots are α5 and β5?
p3 + q3 + r3 – 3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3 – 3abc?
What is the value of √121 + √12321 + √1234321 + √123454321?
How many natural numbers are there between √261 and √45109?
N is the smallest three digit prime number. When N is divided by 13, then what will be the remainder?
x, y and z are prime numbers and x + y + z = 38. What is the maximum value of x?
What is the unit digit of 15+25+35+...+205 ?
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