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  • Question 1
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  • Question 2
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    If 60a = 3 and 60b = 5 then the value of  equals

  • Question 3
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    The set of values of x satisfying the inequality

  • Question 4
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    Given that x + sin y = 2008 and x + 2008 cos y = 2007 where 0 ≤ y ≤ π/2. The value of [x + y], is. (Here [x] denotes greatest integer function)

  • Question 5
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    Let p be the statement ' Ram races' and q be the statement 'Ram wins'. Then ~ (p v (~ q)) is

  • Question 6
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    A vertical pole PS has two marks at Q and R such that portions PQ, PR and PS subtend angles α, β, γ respectively at a point on the ground which is at distance x from the bottom of pole P. If PQ = a, PR = b, PS = c and α + β + γ = 180º, then x2 is equal to

  • Question 7
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    Then the number of subsets of set A×(A ∩ B) which contains exactly 3 elements is

  • Question 8
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    The relation P defined from R to R as a P b ⇔ 1+ ab > 0, for all a,b ∈ R is

  • Question 9
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    If x1, x2 & x3 are the three real solutions of the equation

    where x1 > x2 > x3 , then

  • Question 10
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    The variance of 20 observations is 5. If each observation is multiplied by 2 then the new variance of the resulting observations, is

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