Q.13411·Miscellaneous·2013·EasyThe angles A, B, C, D of a quadrilateral ABCD are in the ratio 1:2:4:5. What is sec² D – tan² D equal to?View question
Q.13412·Miscellaneous·2013·EasyThe angles A, B, C, D of a quadrilateral ABCD are in the ratio 1:2:4:5. Consider the following statements: 1. ABCD is a cyclic quadrilateral. 2. sin (B – A) = cos (D – C) Which of the above statements is/are correct?View question
Q.13413·Miscellaneous·2013·EasyThe angles A, B, C, D of a quadrilateral ABCD are in the ratio 1:2:4:5. What is cosec (C – D + B) equal to?View question
Q.13414·Miscellaneous·2013·EasyThe angles A, B, C, D of a quadrilateral ABCD are in the ratio 1:2:4:5. What is cos (A + B) equal to?View question
Q.13415·Miscellaneous·2013·EasyAs seen from the top and bottom of a building of height h metres, the angles of elevation of the top of a tower of height ((3 + √3)/2)h metres are α and β respectively. If β = 30°, and if θ is the angle of depression of the foot of the tower as seen from the top of the building, then what is tan θ equal to?View question
Q.13416·Miscellaneous·2013·EasyAs seen from the top and bottom of a building of height h metres, the angles of elevation of the top of a tower of height ((3 + √3)/2)h metres are α and β respectively. If α = 30° and h = 30 m, then what is the distance between the base of the building and the base of the tower?View question
Q.13417·Miscellaneous·2013·EasyThe side BC of a triangle ABC is produced to D; bisectors of the angle ABC and ACD meet at P. If ∠BPC = x° and ∠BAC = y°, then which one of the following is correct?View question
Q.13418·Miscellaneous·2013·EasyAs seen from the top and bottom of a building of height h metres, the angles of elevation of the top of a tower of height ((3 + √3)/2)h metres are α and β respectively. If α = 30°, then what is tan β equal to?View question
Q.13419·Miscellaneous·2013·EasyAs seen from the top and bottom of a building of height h metres, the angles of elevation of the top of a tower of height ((3 + √3)/2)h metres are α and β respectively. If β = 30°, then what is tan α equal to?View question
Q.13420·Miscellaneous·2013·EasyIf sin A = 3/5 and A is an acute angle, then tan A + sec A is equal toView question
Q.13421·Miscellaneous·2013·EasyWhich one among the following countries initiated the process of Fourth Wave of Democratic Transition?View question
Q.13422·Miscellaneous·2013·EasyS1 : Science has turned the world into one unit. S6 : Practically every part of the world has friendly or hostile relationship with every other part. P : Nowadays such pleasing illusions are impossible to have. Q : Since that time they have been coming closer to each other. R : Before the 16th century, America and the Far East were almost unrelated to Europe. S : Augustus in Rome and Han Emperor in China simultaneously imagined themselves masters of the world. The proper sequence should be:View question
Q.13423·Miscellaneous·2013·EasyS1 : Plants need carbon for building the tissue of their bodies. S6 : Thus through a complex process called photosynthesis, plants receive their requirements from the soil and Sun. P : The breaking up of carbon dioxide into its components requires energy, which they derive from the Sun. Q : Plants’ other needs of nutrients are derived from the soil and water through their roots. R : They derive this carbon from the carbon dioxide in the air. S : They break up the carbon dioxide, absorb the carbon and discharge oxygen into the air for animals to breathe. The proper sequence should be:View question
Q.13424·Miscellaneous·2013·EasyS1 : I searched for my friend all day. S6 : When I woke up the Sun was already above the horizon. P : Although I was weary and hungry, I was not discouraged. Q : I crept in and lay on the ground with my bag for a pillow. R : When midnight came I felt that I could not walk much further. S : At last I came to a place where the pavement was raised and had a hollow The proper sequence should be:View question
Q.13425·Miscellaneous·2013·EasyS1 : While on a fishing trip last summer, I watched an elderly man fishing off the edge of a dock. S6 : Amazed, I watched him repeat this performance. P : Cheerfully, the old man replied, “Small frying pan”. Q : “Why didn’t you keep the other big ones ?” I asked. R : He finally caught a small pike, threw it into his pail, and smiling happily prepared to leave. S : He caught an enormous trout, but apparently not satisfied with its size, he threw it back into the water. The proper sequence should be:View question
Q.13426·Miscellaneous·2013·EasyS1 : Mr. Johnson looked at his watch. S6 : It was half past seven and he got out of bed quickly. P : He always says to his friends at the office: “It is nice to have breakfast in the morning, but it is nicer to lie in bed.” Q : He was late as usual, but he did not have time for breakfast. R : Then he washed and dressed. S : He ran all the way to the station and he was there just in time for the train. The proper sequence should be:View question
Q.13427·Miscellaneous·2013·EasyS1 : The essence of democracy is the active participation of the people in government affairs. S6 : By and large it is the actual practice of our way of life. P : When the people are active watchmen and participants, we have that fertile soil in which democracy flourishes. Q : Our democracy is founded upon a faith in the overall judgement of the people as a whole. R : When the people do not participate, the spirit of democracy dies. S : When the people are honestly and clearly informed, their commonsense can be relied upon to carry the nation safely through any crisis. The proper sequence should be:View question
Q.13428·Miscellaneous·2013·EasyS1 : Always remember that regular and frequent practice is essential if you are to learn to write well. S6 : If you keep your eyes and ears open, you will find plenty of things to write about. P : Even with the most famous writers, inspiration is rare. Q : Writing is ninety nine per cent hard work and one per cent inspiration, so the sooner you get into the habit of writing, the better. R : It is no good waiting until you have an inspiration before you write. S : You learn to write by writing. The proper sequence should be:View question