A boat goes downstream in one-third the time it takes to go upstream. Then the ratio between the speed of boat in still water and speed of the stream is

ΔPQR is right angled at Q. If cos P = 3/5, then what is the value of cos R?

In △ABC, M and N are the points on side BC such that AM ⊥ BC, AN is the bisector of ∠A, and M lies between B and N. If ∠B = 68°, and ∠C=26°, then the measure of ∠MAN is:

The Median of an isosceles triangle ΔABC is AD and ∠A = 110 °, AB = AC, find the value of ∠ADB.

The least number, by which 1944 must be multiplied so as to make the result a perfect cube is 

A cloth merchant on selling 33 metres of cloth obtains a profit equal to the selling price of 11 metres of cloth , the profit is 

On a certain sum of money, the simple interest for 2 years is Rs. 350 at the rate of 4 % per annum. If it was invested at compound interest at the same rate for the same duration as before, how much more interest would be earned? 

Direction: Each of the questions consists of a question and two statements numbered I and II given below it. You have to decide whether the data provide in the statements are sufficient to answer the question. Read both the statements and Give answer.
(A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone not sufficient to answer the question;
(B) If the data in statement II alone are sufficient to answer the question, while the data in statement I all are not sufficient to answer the question;
(C) If the data either in statement I alone or in statement II alone are sufficient to answer the question;
(D) If the data even in both statements I and II together are not sufficient to answer the question;
(E) If the data in both statements I and II together are necessary to answer the question.

What is the two-digit number?
I. Sum of two digits of number is 12 and ratio between them is 2: 1.
II. Product of two digits of number is 32 and quotient of the two digits is 2.