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MCQ WITH ONLY ONE ALTERNATIVE CORRECT: You may apply various techniques, like: 1.Elimination 2.Checking for extreme condition 3.Putting specific values in expression 4.Checking dimensions There are various scopes of errors also. Usually there are alternatives for corresponding mistakes. In using short techniques, you may make mistake because of lack of practice. MCQ WITH MORE THAN ONE ALTERNATIVE CORRECT Here also you may use few techniques like elimination, dimension checking etc. In these types of questions your depth of understanding is being tested…so very clear concepts are needed to do such kind of problems. In these kind of questions every alternative should be read carefully. Sometimes some words may be misleading…like only, never, sometimes, can be, can not be… These small things may lead to a mistake, even one knows the correct answer. ASSERTION REASON You will be given two statements…and you will have to check the correctness of statements as well as the relation between those. Clear concepts are required to solve these type of questions. Here also you may find misleading statements. MATCH THE FOLLOWING Usually part marks are awarded for such kind of questions. Sometimes you may need to check all possible combinations. -unit of force may be Newton as well as Tesla-Ampere-Meter . ANSWER AFTER READING THE PASSAGE… Here your comprehension skills will be checked. Some new terms, rules or phenomena may be defined. - pomentum=mass * speed; - there may be universe in which gravitational force is inverse of ‘r’ . - A $ B=A2 + B; -A ~ B=A3 – B2; For doing these kind of questions you may be thorough with derivation of formulae. Limitation of formulae should also be taken into account. -you can’t use normal fringe width formulae, if ‘D’ is comparable to ‘x’. 82. In the interval [0, 1], the mean value theorem is NOT applicable to the function (A) f (x) =1/2-x x<1/2 = (½-x)^2 x>=1/2 (B) f(x) = (sin x)/x = 1 (C) f (x) = x|x| (D) f (x) = |x| ANS: A x ≠0 X=0 The orthocenter of the triangle with vertices (0, 0), (4, 0) and (3, 4) (A)(5/4,-4/3) (B) (3, 12) (C)(3,5/4 ) (D) (3,3/4) 59. If the angles of a triangle are in the ratio 4 : 1 : 1, then the longest side and the perimeter are in the ratio (A) 3 : 2 + 3 (B) 1: 6 (C) 1 : 2 + 3 (D) 2 : 3 83. Two numbers are drawn at random, one after another and without replacement, from the set {1, 2, 3, 4, 5, 6}. The probability that minimum of the chosen numbers is smaller than 4 is (A) 1/15 (B) 14/15 (C)1/5 (D) 4/5 5. The edge of a cube is measured to be 1.2 102m. Its volume should be recorded as (A) 1.7 106 m3. (B) 1.73 106 m3. (C) 1.70 106 m3. (D) 1.728 106 m3. QUESTION 1.A body is kept such that its centre of mass lies on X-axis. Its moment inertia about an axis passing through (x,0)& parallel to y-axis is given by I=X2 -2X+2(0<X<4). Find the xcoordinate of CM. A.2 B.1 C.5 D.3 2: A charge vs. time graph is plotted for a d.c. flow, where this charge is the charge flown through a cross section of wire continuously. Which is the most correct option for the graph (1)this can be a straight line graph (2)this can be a circle (3)this can be any continuous graph (4)this will always be a discontinuous graph