Maths - Online Test

Q1. Let X = {1, 2, 3, 4}, Y = {a, b, c, d} and f = {(1, a), (4, b), (2, c), (3, d), (2, d)}. Then f is
Answer : Option D
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Q2. At x = 3/2 the function f ( x) = | 2x -3 | / 2x -3 is
Answer : Option B
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Q3. The derivative of f (x) = x | x | at x = −3 is
Answer : Option A
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Q4. x2ex/2dx is
Answer : Option C
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Q5. The number of 10 digit number that can be written by using the digits 2 and 3 is
Answer : Option B
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Q6. It is given that the events A and B are such that P( A) = 1/4 , P ( A / B) = 1/2 and P ( B / A) = 2/3 . Then P(B) is
Answer : Option B
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Q7. If the lines represented by the equation 6x2 + 41xy - 7y2 = 0 make angles and  with x- axis then tanα tanβ =
Answer : Option A
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Q8. If , then B is given by 
Answer : Option B
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Q9. If the projection of 5iˆ − jˆ − 3kˆ on the vector iˆ + 3jˆ + λkˆ is same as the projection of iˆ + 3 jˆ + λkˆ on 5iˆ − jˆ − 3kˆ, then λ is equal to
Answer : Option C
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Q10. The inverse of f(x) =
Answer : Option A
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