Exams

If O is the centre of a circle of radius 5 cm. At a distance of 13 cm from O, a point P is taken. From this point, two tangents PQ and PR are drawn to the circle. Then , the area of quadrilateral PQOR is

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statements:
(I) Some notes are coins.
(II) No coin is a card.

Conclusion:
(I) All cards can be notes.
(II) Some notes are neither coins nor cards.

In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., 'G' can be represented by 04,40, etc. , and 'K' can be represented by 56, 68,etc. Similarly, you have to identify the set for the word 'LIFE'.

What is the diameter (in cm) of a sphere of surface area 154 sq cm?

In what ratio does the point T(x, 0) divide the segment joining the points S(5, 1) and U(-1, -2)?

Select the missing numbers from the given responses.

Select the missing number from the given options.

In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.

Anti­apartheid activist Desmond Tutu is even more hard­headed when he says, "In almost ____________ language, the most difficult words are 'I am sorry’." Mr. Tutu adds that ______________ reconciliations can only lead to spurious healing. _____________ him forgiveness is a wager, an ethical wager on the future of ______________ relationship. This is why the few events of apology which stand up to _____________ scrutiny deserve to be treasured.

"In almost ____________ language, the most difficult words are 'I am sorry'."