दी गई आकृति में, PQRS ,20 सेमी भुजा वाला एक वाला एक वर्ग है तथा SR को बिन्दु T तक बढ़ाया गया है। यदि QT की लम्बाई 25 सेमी है तो दोनो वृत्तो के केन्द्र O₁  तथा O₂ के मध्य की दूरी ( सेमी में ) क्या है?

निर्देश : नीचे दिए गए प्रत्येक प्रश्न में I, II, और III के तीन निष्कर्षों के बाद चार कथन दिए गए हैं। आपको दिए गए कथनों को सत्य मानना है, भले ही वे सामान्यतः ज्ञात तथ्यों से भिन्न प्रतीत होते हों। सभी निष्कर्ष पढ़ें और फिर तय करें कि दिए गए कथनों में से कौन सा निष्कर्ष सामान्यतः ज्ञात तथ्यों की अवहेलना करते हुए दिए गए कथनों का तार्किक रूप से अनुसरण करता है।

कथन:

कुछ लाल नीले हैं।

सभी सफेद नीले हैं।

सभी पीले लाल हैं।

कुछ सफेद नारंगी हैं।

निष्कर्ष:

I. कुछ सफेद पीले हैं।

II. कुछ नारंगी निश्चित रूप से लाल हैं।

III कम से कम कुछ नीले नारंगी हैं।

1638 विधार्थियों के स्कूल में छात्रों की संख्या और छात्राओं की संख्या का अनुपात 5 : 2 है। यदि छात्राओं की संख्या 60 बढ़ जाती है, तब छात्रों और छात्राओं का नया अनुपात 4 : 3 रखें जाने के लिए छात्रों की संख्या में क्या कमी होनी चाहिए?

NHA (राष्ट्रीय स्वास्थ्य प्राधिकरण) के सीईओ कौन हैं?

यदि MEKLF को कूटभाषा में 91782 तथा LLLJK को 88867 लिखते हैं, तब IGHED का कूट क्या है ?

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

एक कॉलेज पार्टी में पाँच लड़कियाँ एक पंक्ति में बैठी हैं। P , M के बाँयी ओर है तथा O के दाँयी ओर है । R , N के दाँयी ओर है, किन्तु O के बाँयी ओर है । मध्य में कौन बैठा है ?