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The dimension of the solution space of equations x + 4z + t = 0 and x + y + 2z – 4t = 0 in four unknown variables is (a) 1 (b) 2 (c) 3 (d) 4
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A linear transformation preserves modulus of a vector if and only if its matrix is (a) Symmetric (b) Anti-symmetric (c) Orthogonal (d) None of these
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The sum of eigen values of a square matrix is (a) determinant of the matrix (b) sum of non-zero elements of a matrix (c) trace of the matrix (d) trace of inverse of the matrix
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Which of the following statements is/are true for common catenary ? P : Tension at the lowest point is always constant. Q : Tension at the highest point is maximum. (a) Only P (b) Only Q (c) Both (P) and (Q) (d) None of these
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The order of differential equations of Lagrange’s motion is (a) 2 (b) 1 (c) 3 (d) None of these
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The number of generators in a cyclic group of order 9 is (a) 2 (b) 4 (c) 5 (d) 6
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The set of natural numbers with binary operation ‘+’ forms (a) an abelian group (b) a group (c) a monoid (d) None of these
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The relation of divisibility in the set of non-zero integers is (a) reflexive, symmetric and transitive (b) reflexive, anti-symmetric and transitive (c) reflexive and symmetric, but not transitive (d) symmetric and transitive, but not reflexive
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If ‘HKT isrelatedto TRS’ and ‘EHF’ is related to ‘WTV’ in a certain way, to which of the following is ‘ILK’ related to, following the same pattern ? (l)LOM (2)SPR (3) VWT (4) ROP (5) TRS
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If it is possible to make only one meaningful word with the first, third, fourth and the seventh letters of the word ‘EXHAUSTION’, which would be the third letter of the word from the right ? If more than one such word can be formed, give ‘P’ as the answer. If no such word can be formed, give ‘Q’ as your answer. (1)P (2) A (3)H (4) T (5)Q
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What will come in place of question (?) mark in the following series ? XWA VTC SPF OKJ? (1)JDk (2)JEO (3) LPN (4) JDP (5)IEO
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Which of the following would fall in the same category of disasters as Earthquakes, Cyclones and Volcanic Eruptions ? (1) Global warming (2) Floods lil spill (3) Oil spill (4) Accidents (5) Nuclear explosions
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Which of the following groups of numbers should replace the blank spaces so that the group of numbers, given in bold, follow a logical pattern from the preceding and the following group of numbers ? 8_1 67__53 2_4 (1) 9, 2, 3, 4 (2) 2, 9, 4, 3 (3) 9, 2, 4, 3 (4) 3, 9, 2, 4 (5) 4, 9, 2, 3
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How many such pairs of letters are there in the word AEROBICS, each of which has as many letters between them in the word (in both forward and backward directions) as they have between them in the English alphabetical series ? (1) None (2) One (3) Two (4) Three (5) More than three
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In a certain code PAGES is written as RDIHU and WRITE is written as YUKWG. How will OTHER be written in the same code ? 1) PWIHS 2) RVKGU 3) RWJHU 4) QWJHT 5) QWKHT
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If A, B, and C can do work in 5 days, 6 days, and 3 days respectively. If they work together then the work will complete in how many days ?
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If A can do a work in 10 days and A and B together can do the same work in 4 days then B alone can do the work in how many days ?
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A person walk 40m towards east then walk 30m to his right then walk 50m to his left then walk 45m the his left then walk 50m to his right how far he have walk and in which direction is he facing ?
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If the age of the father in 2010 was 2x and the age of the son was half of his father then what will the age of son in 2018 ?
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A man walk 500m towards north then walk 650m right then 50m right then 70m right then 100m right then he walk 10m right, in which direction is he facing ?
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