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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2018-QUESTION BANK
- If ((1-i)/(1+i))^(96)=a+ib, then (a,b) is
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- The distance between the foci of a hyperbola is 16 and its eccentricit...
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- The number of the ways in which 5 girls and 3 boys can be seated in a ...
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- If a,b,c are three consevutive terms of an AP and x,y,z are three cons...
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- The value of {:(lim),(xrarr0):}(|x|)/x is
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- Let f(x) = x - 1/x , then f' (-1) is
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- The negation of the statement ' 72 is divisible by 2 and 3' is
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- The probability of happening of an event A is 0.5 and that of B is 0.3...
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- In a simultaneous throw of a pair of dice, the probability of getting ...
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- If A and B are mutually exclusive events, given that P(A)=3/5,P(B)=1/5...
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- Let f, g : R rarrR be two functions defined as f(x) = |x| + x and g(x)...
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- A is a set having 6 distinct elements. The number of distinct function...
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- Let f : R rarrR be defined by f(x)={{:(2x ,,,x gt3 ),(x^2,,,1 lt xle...
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- If sin^(-1) x + cos ^(-1) y = (2pi)/5 , then cos^(-1) x + sin ^(-1) y...
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- The value of the expression tan(1/2cos^(-1)""2/sqrt5) is
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- if A =[(2,-2),(-2,2)]," then " A^(n)=2^(k)A, where k=
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- If [(1,1),(-1,1)][(x),(y)]=[(2),(4)], then the values of x and y resp...
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- If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)], then verify tha...
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- If x,y,z in R, then the value of determinant |((5^(x)+5^(-x))^(2) , ...
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- The value of determinant |(a-b ,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is
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