Maths - Online Test

Q1. Consider a game where the player tosses a six-sided fair die. If the face that comes up is 6, the player wins 36, otherwise he loses k 2 , where k is the face that comes up k = {1, 2, 3, 4, 5}. The expected amount to win at this game in is
Answer : Option B
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Q2. The circle x2 + y2 = 4x + 8 y + 5 intersects the line 3x − 4 y = m at two distinct points if
Answer : Option D
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Q3. If , then the value of [] is
Answer : Option A
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No Explaination.


Q4. A stone is thrown up vertically. The height it reaches at time t seconds is given by x = 80t −16t2 . The stone reaches the maximum height in time t seconds is given by
Answer : Option B
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Q5. if , then A = 
Answer : Option C
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Q6. If v ( x, y ) = log(ex + ey ) , then ∂v/∂x + ∂y/∂v is equal to
Answer : Option D
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Q7. The conjugate of a complex number is 1/i-2 Then, the complex number is
Answer : Option B
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Q8. The value of  is
Answer : Option D
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Q9. The order of the differential equation of all circles with centre at ( h, k ) and radius ‘a’ is
Answer : Option B
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Q10. If α , β , and  γ  are the zeros of  x+ px+ qx + r , then  is
Answer : Option B
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