Q.6895·Miscellaneous·2018·EasyConsider the following values of x: 1. 8 2. –4 3. 1/6 4. –1/4 Which of the above values of x is/are the solution(s) of the equation tan^–1(2x) + tan^–1(3x) = π/4 ?View question
Q.6896·Miscellaneous·2018·EasyA is an angle in the fourth quadrant. It satisfies the trigonometric equation 3(3 – tan^2A – cotA)^2 = 1. Which one of the following is a value of A?View question
Q.6897·Miscellaneous·2018·EasyA balloon is directly above one end of a bridge. The angle of depression of the other end of the bridge from the balloon is 48°. If the height of the balloon above the bridge is 122 m, then what is the length of the bridge?View question
Q.6898·Miscellaneous·2018·EasyIf A+B+C = 180°, then what is sin2A – sin2B – sin2C equal to?View question
Q.6899·Miscellaneous·2018·EasyConsider the following in respect of matrices A and B of same order: 1. A^2 – B^2 = (A+B)(A–B) 2. (A–I)(I+A) = O ⇔ A^2 = I where I is the identity matrix and O is the null matrix. Which of the above is/are correct?View question
Q.6900·Miscellaneous·2018·EasyIf A, B and C are the angles of a triangle and | 1 1 1 | | 1+sinA 1+sinB 1+sinC | | sinA+sin^2A sinB+sin^2B sinC+sin^2C | = 0, then which one of the following is correct?View question
Q.6901·Miscellaneous·2018·EasyWhat is the determinant of the matrix | x x+y z | | z x x+z | | y z+x y |View question
Q.6902·Miscellaneous·2018·EasyIn this question there are some idioms/phrases followed by four alternative meanings to each. Choose the response (a), (b), (c) or (d) which is the most appropriate meaning and mark your response on the Answer Sheet accordingly. A red-letter dayView question
Q.6903·Miscellaneous·2018·EasyMagda : Good morning, Mrs. Smiles. It's wet, isn't it? Mrs. Smiles : Yes, it is, isn't it? How are you today? All right? You haven't been studying too hard, have you? You look a bit pale. Magda : I don't, do I? Well, I haven't been out much lately. I don't like this weather a bit. Why, we haven't had a dry day for weeks, have we? Mrs. Smiles : No, I don't think we have. Let's see, you'll be going back home next month, won't you? Magda : Oh no, I'm not going back yet. My sister's coming over first. Mrs. Smiles : Oh, is she? You're looking forward to that, I expect. How long is it since you saw her? Magda : Nearly a year now. Yes, I am looking forward to it very much. Mrs. Smiles : She's coming over here to study? Magda : Yes, that's right. I shan't go back home until she's settled down. I don't think I ought to, ought I? Mrs. Smiles : Well, no, she's younger than you are, is she? Magda : Yes, she's only eighteen. Mrs. Smiles and Magda areView question
Q.6904·Miscellaneous·2018·EasyMagda : Good morning, Mrs. Smiles. It's wet, isn't it? Mrs. Smiles : Yes, it is, isn't it? How are you today? All right? You haven't been studying too hard, have you? You look a bit pale. Magda : I don't, do I? Well, I haven't been out much lately. I don't like this weather a bit. Why, we haven't had a dry day for weeks, have we? Mrs. Smiles : No, I don't think we have. Let's see, you'll be going back home next month, won't you? Magda : Oh no, I'm not going back yet. My sister's coming over first. Mrs. Smiles : Oh, is she? You're looking forward to that, I expect. How long is it since you saw her? Magda : Nearly a year now. Yes, I am looking forward to it very much. Mrs. Smiles : She's coming over here to study? Magda : Yes, that's right. I shan't go back home until she's settled down. I don't think I ought to, ought I? Mrs. Smiles : Well, no, she's younger than you are, is she? Magda : Yes, she's only eighteen. Magda's sister was coming toView question
Q.6905·Miscellaneous·2018·EasyMagda : Good morning, Mrs. Smiles. It's wet, isn't it? Mrs. Smiles : Yes, it is, isn't it? How are you today? All right? You haven't been studying too hard, have you? You look a bit pale. Magda : I don't, do I? Well, I haven't been out much lately. I don't like this weather a bit. Why, we haven't had a dry day for weeks, have we? Mrs. Smiles : No, I don't think we have. Let's see, you'll be going back home next month, won't you? Magda : Oh no, I'm not going back yet. My sister's coming over first. Mrs. Smiles : Oh, is she? You're looking forward to that, I expect. How long is it since you saw her? Magda : Nearly a year now. Yes, I am looking forward to it very much. Mrs. Smiles : She's coming over here to study? Magda : Yes, that's right. I shan't go back home until she's settled down. I don't think I ought to, ought I? Mrs. Smiles : Well, no, she's younger than you are, is she? Magda : Yes, she's only eighteen. Mrs. Smiles says, "You're looking forward to that." This means, Magda was —— her sister's arrival.View question
Q.6906·Miscellaneous·2018·EasyMagda : Good morning, Mrs. Smiles. It's wet, isn't it? Mrs. Smiles : Yes, it is, isn't it? How are you today? All right? You haven't been studying too hard, have you? You look a bit pale. Magda : I don't, do I? Well, I haven't been out much lately. I don't like this weather a bit. Why, we haven't had a dry day for weeks, have we? Mrs. Smiles : No, I don't think we have. Let's see, you'll be going back home next month, won't you? Magda : Oh no, I'm not going back yet. My sister's coming over first. Mrs. Smiles : Oh, is she? You're looking forward to that, I expect. How long is it since you saw her? Magda : Nearly a year now. Yes, I am looking forward to it very much. Mrs. Smiles : She's coming over here to study? Magda : Yes, that's right. I shan't go back home until she's settled down. I don't think I ought to, ought I? Mrs. Smiles : Well, no, she's younger than you are, is she? Magda : Yes, she's only eighteen. Magda was not going back home yet becauseView question
Q.6907·Miscellaneous·2018·EasyMagda : Good morning, Mrs. Smiles. It's wet, isn't it? Mrs. Smiles : Yes, it is, isn't it? How are you today? All right? You haven't been studying too hard, have you? You look a bit pale. Magda : I don't, do I? Well, I haven't been out much lately. I don't like this weather a bit. Why, we haven't had a dry day for weeks, have we? Mrs. Smiles : No, I don't think we have. Let's see, you'll be going back home next month, won't you? Magda : Oh no, I'm not going back yet. My sister's coming over first. Mrs. Smiles : Oh, is she? You're looking forward to that, I expect. How long is it since you saw her? Magda : Nearly a year now. Yes, I am looking forward to it very much. Mrs. Smiles : She's coming over here to study? Magda : Yes, that's right. I shan't go back home until she's settled down. I don't think I ought to, ought I? Mrs. Smiles : Well, no, she's younger than you are, is she? Magda : Yes, she's only eighteen. Magda had not been out much lately becauseView question
Q.6908·Miscellaneous·2018·Easy"Now, ladies and gentlemen," said the conjuror, "having shown you that the cloth is absolutely empty, I will proceed to take from it a bowl of goldfish. Presto !" All around the hall people were saying, "Oh, how wonderful ! How does he do it?" But the Quick Man on the front seat said in a big whisper to the people near him, "He-had-it-up-his-sleeve." Then the people nodded brightly at the Quick Man and said, "Oh, of course;" and everybody whispered round the hall, "He-had-it-up-his-sleeve." "My next trick," said the conjuror, "is the famous Hindostanee rings. You will notice that the rings are apparently separate; at a blow they all join (clang, clang, clang)—Presto !" There was a general buzz of stupefaction till the Quick Man was heard to whisper, "He-must-have-had-another-lot-up-his-sleeve." Again everybody nodded and whispered, "The-rings-were-up-his-sleeve." The brow of the conjuror was clouded with a gathering frown. "I will now," he continued, "show you a most amusing trick by which I am enabled to take any number of eggs from a hat. Will some gentleman kindly lend me his hat? Ah, thank you—Presto !" He extracted seventeen eggs, and for thirty-five seconds the audience began to think that he was wonderful. Then the Quick Man whispered along the front bench, "He-has-a-hen-up-his-sleeve," and all the people whispered it on. "He-has-a-lot-of-hens-up-his-sleeve." The egg trick was ruined. It went on like that all through. It transpired from the whispers of the Quick Man that the conjuror must have concealed up his sleeve, in addition to the rings, hens, and fish, several packs of cards, a loaf of bread, a doll's cradle, a live guinea pig, a fifty-cent piece, and a rocking chair. The conjuror extracted seventeen eggs from the hat ofView question
Q.6909·Miscellaneous·2018·EasyIn this question there are some idioms/phrases followed by four alternative meanings to each. Choose the response (a), (b), (c) or (d) which is the most appropriate meaning and mark your response on the Answer Sheet accordingly. Walk a tightropeView question
Q.6910·Miscellaneous·2018·EasyThe total number of 5-digit numbers that can be composed of distinct digits from 0 to 9 isView question
Q.6911·Miscellaneous·2018·EasyThe acidic semidigested food coming out of the stomach is neutralized byView question