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Sequences and S...

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  • Question 1
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    If AM of two numbers a and 17 is 15. Then a is ___

  • Question 2
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    Arithmetic mean of two numbers a+d and a-d is 

  • Question 3
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    Find the sum of Arithmetic means of $$3 , 9$$ and $$12 , 8$$.

  • Question 4
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    The arithmetic mean of $$4$$ and $$14$$ is 

  • Question 5
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    Insert an arithmetic mean between $$7$$ and $$21$$

  • Question 6
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    The number of distinct rational numbers x such that $$\displaystyle 0 < x < 1$$ and $$\displaystyle x = \frac{p}{q}r$$, where $$\displaystyle p,q \epsilon \left \{ 1,2,3,4,5,6 \right \}$$,is

  • Question 7
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    The number of rectangles that can be obtained by joining four of the twelve vertices of a $$12$$ sided regular polygon is

  • Question 8
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    Three vertices are chosen randomly from the seven vertices of a regular $$7$$ -sided polygon. The probability that they form the vertices of an isosceles triangle is

  • Question 9
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    The number of ways in which three numbers in A.P. can be seleced from the set of first n natural number if n is odd is

  • Question 10
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    Let $$A$$ be the set of all $$3 \times  3$$ symmetric matrices all of whose entries are either $$0$$ or $$1$$. Five of these entries are $$1$$ and four of them are $$0$$.
    The number of matrices in $$A$$ is

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