Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered as meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.)
 Cloth: Closet :: Gun : ?

If sin²θ - 3sinθ + 2=0, the find the value of θ(0⁰≤ θ≤90⁰)

Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
 Statements:
 All bears are rabbits.
 All rabbits are dogs.
 Some dogs are black.
 Conclusions.
 I. Some rabbits are black.
 II. Some dogs are bears.
 III. All bears are dogs.

select the correct mirror image of the given combination when the mirror is placed at MN as shown.

If A + B means that A is the brother of B, A × B means that A is the sister of B, A ÷ B means that A is the father of B then which of the following expression shows that P is the brother of R?

Which letter-cluster will replace the question mark (?) to complete the given series?
 CZNM, FXOL, IVPK, ?, ORRI

The minute hand of a clock is 20 cm long. Find the area on the face of the clock swept by the minute hand between 8 a.m. and 8:45 a.m.

In △ABC, D and E are points on sides AB and AC, such that DE||BC. If AD=x+3, DB=2x-3, AE=x+1 and EC=2x-2, then the value of x is