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A club with x members is organized into 4 committees according to the following rules:

1. Each member belongs to exactly two committees.

2. Each pair of committees has exactly one member in common.

Then, which of the following is true regarding the value of x ?

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Important Questions on Miscellaneous

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In a football league, a particular team played 60 games in a season. The team never lost 3 games consecutively and never won five games consecutively in that season. If N is the number of games the team won in that season, then N satisfies:
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From a group of 7  persons,7 committee are formed. Any two committees have exactly one member in common. Each person is in exactly three committees. Then,
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How many integers satisfy the inequality

(x-1)(x+4)(x+2)(x-3)(x+8)(x+3)<0?

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If x satisfies x-1+x-2+x-36, then:
HARD
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For real values of x, the expression x-bx-cx-a will assume all real values provided
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Let an= product of the first n natural numbers. Then, for all nN :
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Solve for the values of y:

zy<4,z×y>3,-3<z<3

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IMPORTANT
If a2+b2+c2=1, then a b+b c+c a lies in between (including):