Question
Four males P1, P2, P3 and P4 are sitting in a row facing
towards the North (not necessarily in the same order) and four females A1, A2, A3 and A4 are sitting in a row facing towards the face of these males (not necessarily in the same order). P1 and P4 sit at the ends. A3 and P2 are facing each other. A4 is second to the left of A3. P4 is facing A1. A1 and A4 are at the ends. Which of the following statements is correct? I. A4 is facing P1. II. P4 is second to the left of that male who is facing A2.Solution
A1Â Â Â Â Â Â Â Â Â Â A3Â Â Â Â Â Â Â Â Â Â A2Â Â Â Â Â Â Â Â Â Â A4(Facing south) P4Â Â Â Â Â Â Â Â Â Â P2Â Â Â Â Â Â Â Â Â Â P3Â Â Â Â Â Â Â Â Â Â P1(Facing north)
Find the number in place of ?
6, 14, 26, ?, 106, 214
If (a + b) = 11 and (a2 + b2) = 65, then find the value of (a × b).
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3x - 4 = 2x + 5
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If (x – 12)3 + (x – 5)3 + (x – 7)3 = 3(x – 12)(x – 5)(x – 7) then find the value of (x2 + 5x...
 If f(x) = 3x² − 7x + 5, find f(2a) − 4f(a).

If a = (√2 - 1)1/3, then the value of (a-1/a)3 +3(a-1/a) is:
If 4x² + y² = 40 and x y = 6, then find the value
of 2x + y?