Maths - Online Test

Q1. If sinα + cosα = b, then sin 2α  is equal to
Answer : Option A
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Q2.
Answer : Option D
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Q3. The number of ways of choosing 5 cards out of a deck of 52 cards which include at least one king is
Answer : Option D
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Q4. There are three events A, B and C of which one and only one can happen. If the odds are 7 to 4 against A and 5 to 3 against B, then odds against C is
Answer : Option B
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Q5. The value of 1/2! + 1/4! + 1/6! +……… is
Answer : Option C
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Q6. If the two straight lines x + (2k - 7)y + 3 = 0 and 3kx + 9y - 5 = 0 are perpendicular then the value of k is
Answer : Option A
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Q7. If   denotes the greatest integer less than or equal to the real number under consideration and  −1 ≤ x < 0, 0 ≤ y < 1, 1 ≤ z < 2 , then the value of the determinant  is
Answer : Option A
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Q8. Vectors  and  are inclined at an angle θ = 120º. If |  |= 1,| |= 2 , then [( + 3 ) × (− )]2  is equal to
Answer : Option D
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Q9. If the function f : [-3, 3] → S defined by f(x) = x2 is onto, then S is
Answer : Option D
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Q10. The value of , where k is an integer is
Answer : Option B
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