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  • Question 1
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    The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is

  • Question 2
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    What is the probability of getting a sum 9 from two throws of a dice?

  • Question 3
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    Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

  • Question 4
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    If \(x y+y z+z x=0,\) then \(\left(\frac{1}{x^{2}-y z}+\frac{1}{y^{2}-z x}+\frac{1}{z^{2}-x y}\right)\)
    \((x, y, z \neq 0)=?\)

  • Question 5
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    The speed of the train going from Nagpur to Allahabad is 100 km/h while when coming back from Allahabad to Nagpur, its speed is 150 km/h. find the average speed during whole journey.

  • Question 6
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    A pump can fill a tank with water in 2 hours. Because of a leak, it took 213hours to fill the tank. The leak can drain all the water of the tank in:

  • Question 7
    1 / -0

    d/dx (log tan x) =

  • Question 8
    1 / -0

    If \(x=a^{2}+1 / a^{2}\) and \(y=a^{2}-1 / a^{2},\) then the value of \(x^{4}+y^{4}-2 x^{2} y^{2}\) is

  • Question 9
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    If y=x sin x, then

  • Question 10
    1 / -0

    The average of a group of men is increased by 5 years when a person aged of 18 years is replaced by a new person of aged 38 years. How many men are there in the group?

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