Question
Which of the following combinations is/are
false? Study the following information carefully and answer the question given below: There are eight people P, Q, R, S, W, X, Y and Z are living in a 8 floor Building on different floors from top to bottom (such as ground floor is numbered as 1 and top floor is numbered as 8) but not necessarily in the same order. W lives immediately above the floor on which R lives but not on an even numbered floor. S lives on the floor which is a prime number but not on the 3rd floor. X lives immediately below the floor on which Q lives. The person lives between P and R is not more than three and not less than two. P live on the topmost floor. There is one person living between the floors on which W and S lives. Z lives immediately above the floor on which Q lives.Solution
S lives on the floor which is a prime number but not on the 3rd floor. P lives on the topmost floor. W lives immediately above the floor on which R lives but not on an even numbered floor. There is one person living between the floors on which W and S lives. In CASE1 W live in even floor so CASE1 is cancelled out. The person lives between P and R is not more than three and not less than two.
In CASE2A and CASE2B the person lives between P and R is more than three and less than two. So, CASE2A and CASE2B is cancelled out. Z lives immediately above the floor on which Q lives. X lives immediately below the floor on which Q lives
- Simplify the following trigonometric expression:
15 cos 27° sec 63° − 9 cot 61° tan 29° If √3 tan 2θ – 3 = 0, then find the value of tanθ secθ – cosθ where 0 < θ < 90°
If (cos A - sin A) = √2 cos (90° - A), then find the value of cot A.


If tan 3.5θ x tan 6.5θ = 1 then the value of tan 5θ is
Find the maximum value of 14 sin A + 24 cos A.

- If cos θ = (4x² – 1)/(1 + 4x²) then find the value of sin q.
The minimum value of 9 cos2 θ + 36 sec2 θ isÂ