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Q.31 The cells involved in allergic reactions and containing surface receptors of IgE antibodies and histamine are (A) Basophils (B) Mast cells (C) Monocytes (D) Neutrophils Mast cells are the […]

Q.30 A body XX of mass MM moving with velocity vv hits a stationary body YY of mass mm. If M≫mM≫m and XX moves with the velocity v′v′, then the velocity of YY after an elastic collision is (A) 2v (B) v+v′ (C) v−v′ (D) 2v′ The correct answer is […]

Q.29 Two inductors PP and QQ having inductance ratio 1:21:2 are connected in parallel in an electric circuit. The energy stored in the inductors PP and QQ are in the ratio (A) 1:4 (B) 1:2 (C) 2:1 (D) 4:1   The energy stored […]

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 = […]