If x⁴+2x³+ax²+bx+9 is a perfect square where a and b are positive real numbers, then the value of a and b 

If sec x + cos x = 2, then the value of sec16 x + cos16 x will be-

The length of two chords AB and AC of a circle are 8 cm and 6 cm and ∠BAC=90º, then the radius of circle is

Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.
Give answer (A) if the statement A alone is sufficient to answer the question, but statement B alone is not sufficient.
Give answer (B) if the statement B alone is sufficient to answer the question, but statement A alone is not sufficient.
Give answer (C) if both statements A and B together are needed to answer the question.
Give answer (D) if either the statements A alone or statement B alone is sufficient to answer the question
Give answer (E) if you cannot get the answer from the statements A and B together, but need even more data.

Triangle ABC has angle BAC equal to 90°. What is the measure of the angle ABC?
A. The angle ACB is 35°
B. The angle CBA is 55°

A mixture of 40 liters of milk and water contains 30% water. How much milk should be added to this mixture so that the new mixture contains 80% milk?

The average salary, per head, of all the workers of an institution, is Rs. 60. The average salary of 12 officers is Rs. 400; the average salary, per head, of the rest is Rs. 56. The total number of workers in the in situation is 

The cost price of a radio is Rs. 600. The 5% of the cost price is charged towards transportation. After adding that, If net profit to be made is 15%, then the selling price of the radio must be 

The profit percentage of P and Q is same on selling the articles at Rs. 1800 each but A calculates his profit on the selling price while Q calculates it correctly on the cost price which is equal to 20%. What is the difference in their profits?