Question
Read the given statements and conclusions carefully.
Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All polygons are angles. All angles are diagonals.  All cones are cubes. All cubes are decagons. No diagonal is a cube Conclusions:        I.           Some diagonals are polygons.      II.           All diagonals are decagons.    III.           No polygon is a cone.    IV.           Some cubes are angles.Solution
The correct answer is D
If (x – 3) is a factor of (x2 + 4qx – 2q), then the value of q is:
- If p = 20 - q - r and pq + r(p + q) = 154, then find the value of (p² + q² + r²).
Evaluate (998)3 without multiplying directly.
If (a + b + c) = 9, find (a – 4)3 + (b – 2)3 + ( c – 3)3 - 3(a – 4 ) (b – 2 ) (c – 3)?
If  a2+2 = 2a
then find a4Â - a3Â + 2a2Â -2a+ 9 = ?
If (a + b + c) = 18 and (ab + bc + ca) = 100, then find the value of (a² + b² + c²).
If 8x3Â - 125y3Â = (2x - Ay) X (Bx2Â + 25y2Â + Cxy), then find the value of 3 X (2A + 6B) - 2C.
If 9x2 + 16y2 = 24xy, then find the ratio of ‘x’ and ‘y’, respectively.
If x = 15, find x5 - 16x4 + 16x3 - 16x2 + 16x - 16 = ?