Simplification Questions

• If a+1b = 1 and b+1c = 1 then c+1a = ?
• If x = y + 2 then x3 - y3 - z3 is
• If a + b + c + d = 4, then the value of 1(1-a)(1-b)(1-c) + 1(1-b)(1-c)(1-d) + 1(1-c)(1-d)(1-a) + 1(1-d)(1-a)(1-b)
• If a = 1/a-5, then the value of a + 1/a = ?
• If a+1b= b+1c = c+1a (a , b, c are not equal) then the value of abc =
• If ax + by = 1 and bx + ay = 2aba2+b2 then x2+y2a2+b2 is equal to
• If x, y, z are the three factors of a3 -7a - 6 , then value of x+y+z will be
• If secA + tanA = a, then the value of cosA is
• If sin P + cosec P = 2, then the value of sin7P + cosec7P is
• If cosx.cosy + sinx.siny = -1 then cosx + cosy is
• The value of the expression 2(sin6θ+cos6θ) - 3(sin4θ+cos4θ) + 1 is
• If cosθ = x2-y2x2+y2 , then the value of cotθ is
• If x = cosecθ - sinθ and y = secθ - cosθ, then the relation between x and y is
• A hydrogen filled balloon ascending at the rate of 18 kmph was drifted by wind. Its angle of elevation at 10th and 15th minutes were found to be 60° and 45° respectively. The wind speed (in whole numbers) during the last five minutes, approximately, is equal to
• Which of the following statement(s) is/are TRUE? I. √(64) + √(0.0064) + √(0.81) + √(0.0081) = 9.07 II. √(0.010201) + √(98.01) + √(0.25) = 11.51
• Which of the following statement(s) is/are TRUE? I . 11×3+13×5+15×7+...+111×13 = 1213 II. 11×2+12×3+13×4+...+112×13 = 1213
• Which of the following statement(s) is/are TRUE? I. 3/71 < 5/91 < 7/99 II. 11/135 > 12/157 > 13/181
• If 1 + (1/2) + (1/3) + ... + (1/20) = k, then what is the value of (1/4) + (1/6) + (1/8) + ... + (1/40)?
• If x + y = 10 and xy = 4, then what is the value of x4 + y4 ?
• Which of the following statement(s) is/are TRUE? I. √5 + √5 > √7 + √3 II. √6 + √7 > √8 + √5 III. √3 + √9 > √6 + √6