Major Competitive Exams
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Q. In a right triangle, if the lengths of the legs are 8 and 15, what is the area of the triangle?
Q. In a right triangle, if the lengths of the legs are 8 and 15, what is the length of the hypotenuse?
Q. In a right triangle, if the lengths of the legs are equal, what is the measure of the angles opposite those legs?
Q. In a right triangle, if the lengths of the legs are in the ratio 3:4, what is the length of the hypotenuse if the shorter leg is 9?
Q. In a rotating system, if the angular momentum is doubled while the moment of inertia remains constant, what happens to the angular velocity?
Q. In a round-robin format tournament with 8 teams, each team plays every other team once. How many matches are played in total?
Q. In a round-robin format, each team plays every other team once. If there are 8 teams, how many games will be played?
Q. In a round-robin tournament with 8 teams, each team plays every other team once. How many matches are played in total?
Q. In a round-robin tournament with 8 teams, each team plays every other team once. If Team X won 5 matches, what is the maximum number of matches Team X could have lost?
Q. In a round-robin tournament with 8 teams, each team plays every other team once. If Team A won 5 matches, lost 2, and drew 1, what is Team A's total points if a win gives 3 points, a draw gives 1 point, and a loss gives 0 points? (2023)
Q. In a round-robin tournament, each player plays against every other player exactly once. If there are 10 players, how many matches will be played?
Q. In a round-robin tournament, each team plays every other team exactly once. If there are 10 teams, how many games will be played?
Q. In a row of 5 chairs, A is sitting to the left of B and to the right of C. If D is sitting at one of the ends, who is sitting in the middle chair?
Q. In a row of 7 chairs, A is sitting third to the left of B. If C is sitting to the immediate right of A, who is sitting at the extreme left?
Q. In a row of 8 chairs, A is sitting at the 3rd position from the left and B is sitting at the 5th position. If C is sitting to the immediate right of A, who is sitting at the extreme right?
Q. In a row of five people, if M is to the left of N and O is to the right of N, which of the following is a possible arrangement?
Q. In a row of four chairs, if chair 1 is occupied by A, chair 2 by B, and chair 3 by C, who must be in chair 4?
Q. In a row of six books, A is placed to the left of B, but to the right of C. D is placed to the right of E, who is to the left of F. Which book is at the extreme right?
Q. In a rural development scheme, 60% of the budget is allocated for education. If the total budget is $120000, how much is allocated for education?
Q. In a rural development scheme, if 60% of the total budget of ₹2,00,000 is allocated for infrastructure, how much is allocated for infrastructure?
Q. In a scenario where a company has limited resources, which strategy is most effective for prioritizing projects?
Q. In a scenario where a company has limited resources, which strategy would best optimize resource allocation?
Q. In a scenario where a company has to choose between investing in marketing or product development, which principle of resource allocation is being applied? (2023)
Q. In a scenario where a set is defined as {x | x is a positive integer and x is less than 10}, which of the following is the largest element in this set?
Q. In a scenario where a set is defined as {x | x is an integer and x > 0}, which of the following is a valid operation on this set?
Q. In a scenario where a set is defined by the constraints 'x is a positive integer and x is less than 20', which of the following numbers is included in this set?
Q. In a scenario where a set is defined by the constraints 'x is a positive integer and x is less than or equal to 20', which of the following statements is true?
Q. In a scenario where a set is defined by the constraints of being both a multiple of 3 and less than 30, which of the following is an element of this set?
Q. In a scenario where a set is defined by the constraints of being both a prime number and less than 20, which of the following is NOT included in the set?
Q. In a scenario where a set is defined by the constraints of being both a prime number and less than 10, which of the following numbers would be excluded?
