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1. In a little district west of Washington Square the streets have run crazy and broken themselves into small strips called 'places.' These 'places' make strange angles and curves. One street crosses itself a time or two. An artist once discovered a valuable possibility in this street. Suppose a collector with a bill for paints, paper and canvas should, in traversing this route, suddenly meet himself coming back, without a cent having been paid on account! 6. So, to quaint old Greenwich Village the art people soon came prowling, hunting for north windows and eighteenth-century gables and Dutch attics and low rents.
If x4 + 2x3 + ax2 + bx + 9 is a perfect square, where a and b are positive real numbers, then the value of a and b are
If x2 + y2 + 2x + 1 = 0, therefore the value of x31 + y35 is
The value of x which satisfies the equation (x+a2+2c2) / (b+c) + (x+b2 +2a2) / (c+a) + (x+c+2b2) ...
The value of the expression (1 + sec22° + cot68°)(1 – cosec22° + tan68°) is
If (a + b)/c = 6/5 and (b + c)/a = 9/2, then what is the value of (a + c)/b?
If P = 7 + 4√3 and PQ = 1, then what is the value of 1/P2 + 1/Q2?
10 women and 12 men complete a certain piece of work in 30 days, if each women takes thrice the time taken by a man to finish the work.
Quantity...
If x3 + y3 + z3 = 3(1 + xyz), P = y + z – x, Q = z + x – y and R = x + y – z, then what is the value of P...
If x + y + z = 19, xyz = 216 and xy + yz + 2x = 114, then the value of √ x3 + y3 + z3 + xyz is :
The total number of even factors of 25 × 33 × 52 is: