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Q.27 If P={1,2,−1,3}P={1,2,−1,3}, Q={0,4,1,3}Q={0,4,1,3} and R={1,6,7}R={1,6,7}, then P∖(Q∪R)=P∖(Q∪R)= (A) {1,2}{1,2} (B) {4,3}{4,3} (C) {2,1}{2,1} (D) {2,3}{2,3} P ∖ (Q ∪ R) equals {2, -1} for the given sets, but none of the options match exactly due to order differences. […]

Q.26 If one of the diameters of a circle has end points (2,0)(2,0) and (4,0)(4,0), then the equation of that circle is (A) x2−3x+y2+5=0x2−3x+y2+5=0 (B) x2−4x+y2+6=0x2−4x+y2+6=0 (C) x2−5x+y2+7=0x2−5x+y2+7=0 (D) x2−6x+y2+8=0x2−6x+y2+8=0   The correct answer is option (D) […]

Q.25 Two dice are thrown simultaneously. The probability that the sum of the numbers obtained is divisible by 7 is (A) 1/t6 (B) “36 (C) 0 (D) 1/18 The probability that the sum […]

Q.24 If u(x)u(x) and r(x)r(x) are differentiable at x=0x=0, and if u(0)=5u(0)=5, u′(0)=−3u′(0)=−3, r(0)=−1r(0)=−1 and r′(0)=2r′(0)=2, then the value of −g(ur+t2)−g(ur+t2) at x=0x=0 is (A) −20−20 (B) −7−7 (C) 66 (D) 1313 SEO-Friendly Introduction To master calculus problems in competitive exams, understanding how to compute the value of […]

Q.23 In metal–carbonyl complexes, the π-back bonding is (A) pπ–dπpπ–dπ type (B) dπ–dπdπ–dπ type (C) dπ–pπdπ–pπ type (D) dπ–sπdπ–sπ type The correct answer is (C) dπ–pπ type. In metal-carbonyl complexes, π-back bonding involves electron donation from filled metal […]

Q.22 For an autocatalytic second order reaction R → P, the rate law is [where v is rate of the reaction and k is the rate constant] (A) v = […]

Q21. The reaction that produces o-bromophenol as the major product is The reaction that produces o‑bromophenol as the major product is option (A). Introduction Understanding which reaction produces o‑bromophenol as the major product […]

Q20. The major product formed in the following reaction is The major product is the five‑membered lactone (option C) formed by intramolecular esterification of the γ‑hydroxycarboxylic acid under acid catalysis.​ Introduction In […]

Q.19 The correct sequence of the following events in the human female reproductive cycle is I: Secretion of FSH II: Growth of corpus luteum III: Growth of follicle and oogenesis […]