Q.9667·Miscellaneous·2016·EasyLet ABC be a triangle in which AB = AC. Let L be the locus of points X inside or on the triangle such that BX = CX. Which of the following statements are correct? 1. L is a straight line passing through A and in-centre of triangle ABC is on L. 2. L is a straight line passing through A and orthocentre of triangle ABC is a point on L. 3. L is a straight line passing through A and centroid of triangle ABC is a point on L. Select the correct answer using the code given below.View question
Q.9668·Miscellaneous·2016·EasyConsider a circle with centre at C. Let OP, OQ denote respectively the tangents to the circle drawn from a point O outside the circle. Let R be a point on OP and S be a point on OQ such that OR × SQ = OS × RP. Which of the following statements is/are correct? 1. If X is the circle with centre at C and radius OR, and Y is the circle with centre at O and radius OS, then X = Y. 2. ∠POC + ∠QCO = 90° Select the correct answer using the code given below.View question
Q.9669·Miscellaneous·2016·EasyWe are tempted to assume that technological progress is real progress and that material success is the criterion of civilization. If the Eastern people become fascinated by machines and techniques and use them, as Western nations do, to build huge industrial organizations and large military establishments, they will get involved in power politics and drift into the danger of death. Scientific and technological civilization brings great opportunities and great rewards but also great risks and temptations. Science and technology are neither good nor bad. They are not to be tabooed but tamed and assigned their proper place. They become dangerous only if they become idols. According to the author, science and technology should beView question
Q.9670·Miscellaneous·2016·EasyIf m and n are distinct natural numbers, then which of the following is/are integer/integers? 1. (m/n + n/m) 2. mn [(m/n + n/m)(m² + n²)^–1] 3. mn / (m² + n²) Select the correct answer using the code given below.View question
Q.9671·Miscellaneous·2016·EasyWe are tempted to assume that technological progress is real progress and that material success is the criterion of civilization. If the Eastern people become fascinated by machines and techniques and use them, as Western nations do, to build huge industrial organizations and large military establishments, they will get involved in power politics and drift into the danger of death. Scientific and technological civilization brings great opportunities and great rewards but also great risks and temptations. Science and technology are neither good nor bad. They are not to be tabooed but tamed and assigned their proper place. They become dangerous only if they become idols. From the passage one gathers that the Eastern people mustView question
Q.9672·Miscellaneous·2016·EasyWe are tempted to assume that technological progress is real progress and that material success is the criterion of civilization. If the Eastern people become fascinated by machines and techniques and use them, as Western nations do, to build huge industrial organizations and large military establishments, they will get involved in power politics and drift into the danger of death. Scientific and technological civilization brings great opportunities and great rewards but also great risks and temptations. Science and technology are neither good nor bad. They are not to be tabooed but tamed and assigned their proper place. They become dangerous only if they become idols. According to the author, science and technology areView question
Q.9673·Miscellaneous·2016·EasyOutside a meeting room, Madhukar was told by a person that each meeting takes place after 13/4 hours. The last meeting has been over just 45 minutes ago and the next meeting will take place at 2 p.m. At what time did Madhukar receive this information?View question
Q.9674·Miscellaneous·2016·EasyIt is not luck but labour that makes men. Luck, says an American writer, is ever waiting for something to turn up; labour with keen eyes and strong will always turns up something. Luck lies in bed and wishes the postman would bring him news of a legacy; labour turns out at six and with busy pen and ringing hammer lays the foundation of competence. Luck whines, labour watches. Luck relies on chance; labour on character. Luck slips downwards to self-indulgence; labour strides upwards and aspires to independence. The conviction, therefore, is extending that diligence is the mother of good luck; in other words, that a man's success in life will be proportionate to his efforts, to his industry, to his attention to small things. Which one of the following statements sums up the meaning of the passage?View question
Q.9675·Miscellaneous·2016·EasyIf (61/19) = 3 + 1/(x + 1/(y + 1/z)) where x, y and z are natural numbers, then what is z equal to?View question
Q.9676·Miscellaneous·2016·EasyIt is not luck but labour that makes men. Luck, says an American writer, is ever waiting for something to turn up; labour with keen eyes and strong will always turns up something. Luck lies in bed and wishes the postman would bring him news of a legacy; labour turns out at six and with busy pen and ringing hammer lays the foundation of competence. Luck whines, labour watches. Luck relies on chance; labour on character. Luck slips downwards to self-indulgence; labour strides upwards and aspires to independence. The conviction, therefore, is extending that diligence is the mother of good luck; in other words, that a man's success in life will be proportionate to his efforts, to his industry, to his attention to small things. Which one of the following statements is true about the passage?View question
Q.9677·Miscellaneous·2016·EasyA circular path is made from two concentric circular rings in such a way that the smaller ring when allowed to roll over the circumference of the bigger ring, it takes three full revolutions. If the area of the pathway is equal to n times the area of the smaller ring, then n is equal toView question
Q.9678·Miscellaneous·2016·EasyIt is not luck but labour that makes men. Luck, says an American writer, is ever waiting for something to turn up; labour with keen eyes and strong will always turns up something. Luck lies in bed and wishes the postman would bring him news of a legacy; labour turns out at six and with busy pen and ringing hammer lays the foundation of competence. Luck whines, labour watches. Luck relies on chance; labour on character. Luck slips downwards to self-indulgence; labour strides upwards and aspires to independence. The conviction, therefore, is extending that diligence is the mother of good luck; in other words, that a man's success in life will be proportionate to his efforts, to his industry, to his attention to small things. “ ____Labour turns out at six and with busy pen and ringing hammer lays the foundation of competence.” This statement meansView question
Q.9679·Miscellaneous·2016·EasyConsider the following statements : 1. If n ≥ 3 and m ≥ 3 are distinct positive integers, then the sum of the exterior angles of a regular polygon of m sides is different from the sum of the exterior angles of a regular polygon of n sides. 2. Let m, n be integers such that m > n ≥ 3 . Then the sum of the interior angles of a regular polygon of m sides is greater than the sum of the interior angles of a regular polygon of n sides, and their sum is (m + n)π/2 . Which of the above statements is/are correct?View question
Q.9680·Miscellaneous·2016·EasyIf a transversal intersects four parallel straight lines, then the number of distinct values of the angles formed will beView question
Q.9681·Miscellaneous·2016·EasyThe avowed purpose of the exact sciences is to establish complete intellectual control over experience in terms of precise rules which can be formally set out and empirically tested. Could that ideal be fully achieved, all truth and all error could henceforth be ascribed to an exact theory of the universe, while we who accept this theory would be relieved of any occasion for exercising our personal judgement. We should only have to follow the rules faithfully. Classical mechanics approaches this ideal so closely that it is often thought to have achieved it. But this leaves out of account the element of personal judgement involved in applying the formulae of mechanics to the facts of experience. The purpose of the exact sciences is toView question
Q.9682·Miscellaneous·2016·EasyThe avowed purpose of the exact sciences is to establish complete intellectual control over experience in terms of precise rules which can be formally set out and empirically tested. Could that ideal be fully achieved, all truth and all error could henceforth be ascribed to an exact theory of the universe, while we who accept this theory would be relieved of any occasion for exercising our personal judgement. We should only have to follow the rules faithfully. Classical mechanics approaches this ideal so closely that it is often thought to have achieved it. But this leaves out of account the element of personal judgement involved in applying the formulae of mechanics to the facts of experience. An exact theory of the universe isView question
Q.9683·Miscellaneous·2016·EasyThe avowed purpose of the exact sciences is to establish complete intellectual control over experience in terms of precise rules which can be formally set out and empirically tested. Could that ideal be fully achieved, all truth and all error could henceforth be ascribed to an exact theory of the universe, while we who accept this theory would be relieved of any occasion for exercising our personal judgement. We should only have to follow the rules faithfully. Classical mechanics approaches this ideal so closely that it is often thought to have achieved it. But this leaves out of account the element of personal judgement involved in applying the formulae of mechanics to the facts of experience. In exact sciencesView question
Q.9684·Miscellaneous·2016·EasyConsider the following statements : 1. There exists a regular polygon whose exterior angle is 70°. 2. Let n ≥ 5. Then the exterior angle of any regular polygon of n sides is acute. Which of the above statements is/are correct?View question