Quantitative Aptitude - Arithmetic Ability Questions

In a cyclic quadrilateral ABCD , the side AB is extended to a point X. If ∠XBC = 82° and ∠ADB = 47° , then the value of ∠BDC is

The mean score in a test of the 10 boys in a class was 15 while the overall mean of the 25 students in the class was 16.2. What was the mean score of the girls?

What is the value of {[sin (x + y) – 2 sin x + sin (x – y)]/[cos (x – y) + cos (x + y) – 2 cos x]} × [(sin 10x – sin 8x)/(cos 10x + cos 8x)]?

If 3x2 - ax + 6 = ax2 + 2x + 2 has only one (repeated) solution, then the positive integral solution of a is

The average of 8 consecutive integers is 23/2. What is the average of first three integers?

For what value of X, 211X will be a perfect square?

What will be the quotient when 2143 is divided by 38?

In the following question, select the odd letter/letters from the given alternatives.