Question
Four of the following five are alike in a certain way
and hence they form a group. Which one of the following does not belong to that group? Study the following information carefully to answer the given question: Six persons J, K, L, M, N, and O are like different cities i.e. Delhi, Mumbai, Bangalore, Chennai, Kolkata and Hyderabad and also like different fruits viz. Banana, Grapes, Mango, Apple, Orange and Guava but not necessarily in the same order. J likes Mumbai but not like Mango and Guava fruit. The one who likes Chennai is also likes Apple fruit. N likes Hyderabad but not like Mango fruit. O likes Grapes fruit. K likes Kolkata but not like Guava fruit. L likes neither Chennai nor Orange. O does not like Delhi. K does not like Mango. The one who likes Mumbai does not like Banana fruit.Solution
J likes Mumbai but not like Mango and Guava. The one who likes Chennai is also likes Apple. N likes Hyderabad but not like Mango. O likes Grapes. K likes Kolkata but not like Guava.
From the given statements, L likes neither Chennai nor Orange fruit. O does not like Delhi. K does not like Mango fruit. The one who likes Mumbai does not like Banana fruit. So, the final arrangement – 
- 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