In the triangle ABC, AB = 2 cm, BC = 3 cm and AC = 4 cm. D is the middle point of AC. If a square is constructed on the side BC, what is the area of the square?

A and B can together complete a piece of work in 18 days. B and C can together complete the same work in 24 days and A and C can together complete it in 36 days. In how many days can A. B and C, working together, complete this piece of work?

If $${secθ+tanθ\over secθ-tanθ}=2{51\over79}$$, then the value of sinθ is equal to:

The area ( in m² ) of the square which has the same perimeter as a rectangle whose length is 48 m and is 3 times its breadth is : 

Direction : Each of the questions below consists of a question and two statements numbered I and II are given below it. You have to decide whether the data provided 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 statement II alone are 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 alone are not sufficient to answer the question.
(C) If the data in statement I alone or in Statement II alone are sufficient to answer the question.
(D) If the data in both the statement I and II are not sufficient to answer the question.
(E) If the data in both the statement I and II together are necessary to answer the question.

What is the two-digit number?
I. Sum of the digits is 6.
II. Digit in the ten’s place is double the digit in the unit’s place.

The value of $$ cos {20^o} cos {40^o}cos {60^o}cos {80^o}$$ is:

The difference between the greatest and least five-digit numbers formed by the digits 2,5,0,6,8 is (repetition of digits are not allowed) 

The average of ten numbers is 72. The average of the first four numbers is 69 and that of the next three number is 74. The 8^th number is 6 more than the 9^th number and 12 more than the 10^th number. What is the average of the 8^th and 9^th numbers?