ΔABC is a right angled triangle, the radius of its circumcircle is 3 cm and the length of its altitude drawn from the opposite vertex to the hypotenuse is 2 cm. Then the area of the triangle is

Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the three statements and give answer.

There are six letters E, I, P, G, N and O is PIGEON the word formed after performing the following operations using these six letters only?

I. O is placed fourth to the right of P. G is not placed immediately next to either P or O.

II. N is placed immediately next (either left or right) to O. E is placed immediately next (either left or right) to G.

III. Both I and E are placed immediately next to G. The word does not begin with N. P is not placed immediately next to E.

In each of the following questions, a question is followed by information given in three statements. You have to decide the information given in which of the statements
is necessary and sufficient to answer the questions:

A, B, C, D and E are sitting in a circle. Are all of them facing the centre?

I. A is sitting second to the right of D; C is facing the centre and is not an immediate neighbour of D.
II. B, who is sitting between C and D, is second to the right of E, who is not an immediate neighbour of C. B and A are facing each other.
III. D is sitting on the immediate left of B, who is not sitting on the immediate left of A. E is on the immediate right of D.

If a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure?

In the given question, a part of the sentence is printed in bold. Below the sentence, three alternatives to the bold part are given which may help improve the sentence. Choose the option that reflects the correct use of the phrase in the context of the sentence. In case the given sentence is correct, your answer is (E) i.e. No correction required.

The only bright spot so far this year for Apple is with its iPhone 8 Plus, which at 0.4% market share, topped early performance for the iPhone 7 Plus and iPhone 6 Plus, which attracted 0.2% and 0.3% market share, respectively.

i. Topped in early performance

ii. Topped to perform early

iii. Topped in earlier performing

If the digits in the number 79246358 are arranged in descending order from left to right, what will be the difference between the digits which are third from the right and second from the left in the new arrangement?

If a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure?

Sham goes to his friend's house that is straight 10 Km from his house. On his way back, he takes a right turn and walks 2 Km and again takes a right turn and walks for 10 Km before he takes a right turn again. How much distance is Sham still away from his house?