In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QT is 25 cm, then what is the distance (in cm) between the centres O₁ and O₂ of the two circles?

Directions : In each of the questions below are given four statements followed by three conclusions numbered I, II, and III. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:
Some red are blue.
All white are blue.
All yellow are red.
Some white are orange.
Conclusions:
I. Some white are yellow.
II. Some orange are definitely red.
III. At least some blue are orange.

The ratio of the number of students to the number of girls students in the school of 1638 students is 5: 2. If the number of girl students increases to 60, then what should be the decrease in the number of students to keep the new ratio of students to girls 4: 3?

Who is the CEO of NHA (National Health Authority)?

If MEKLF is coded as 91782 and LLLJK as 88867, then how can IGHED be coded?

Read the following passage carefully and give the answer of following questions.

The cyber–world is ultimately ungovernable. This is alarming as well as convenient; sometimes, convenient because alarming. Some Indian politicians use this to great advantage. When there is an obvious failure in governance during a crisis they deflect attention from their own incompetence towards the ungovernable. So, having failed to prevent nervous citizens from fleeing their cities of work by assuring them of proper protection, some national leaders are now busy trying to prove to one another, and to panic-prone Indians, that a mischievous neighbour has been using the internet and social networking sites to spread dangerous rumours. And the Centre's automatic reaction is to start blocking these sites and begin elaborate and potentially endless negotiations with Google, Twitter and Facebook about access to information. If this is the official idea of prompt action at a time of crisis among communities, then Indians have more reason to fear their protectors than the nebulous mischief-makers of the cyber world. Wasting time gathering proof, blocking vaguely suspicious websites, hurling accusations across the border and worrying about bilateral relations are ways of keeping busy with inessentials because one does not quite known what to do about the essentials of a difficult situation. Besides, only a fifth of the 245 websites blocked by the Centre mention the people of the Northeast or the violence in Assam. And if a few morphed images and spurious texts can unsettle an entire nation, then there is something deeply wrong with the nation and with how it is being governed. This is what its leaders should be addressing immediately, rather than making a wrongheaded display of their powers of censorship.
 It is just as absurd, and part of the same syndrome, to try to ban Twitter accounts that parody despatches from the Prime Minister's Office. To describe such forms of humour and dissent as "misrepresenting" the PMO–as if Twitter would take these parodies for genuine despatches from the PMO — makes the PMO look more ridiculous than its parodists manage to. With the precedent for such action set recently by the chief minister of West Bengal, this is yet another proof that what Bengal thinks today India will think tomorrow. Using the cyber–world for flexing the wrong muscles is essentially not funny. It might even prove to be quite dangerously distracting.

According to the passage, the cyber-world is

In these questions read each sentence to find out whether there is any error in it. If there is no error, the answer is (D).

I was (A) / laying down (B)/ when the door bell rang. (C)/No error. (D)