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CAT 2009 Quant Questions

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CAT 2009 Quant questions

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Geometry:

• The number of distributions of n distinct objects


in k distinct boxes is kn.
• The number of ways of distributing n identical
objects in k distinct boxes is (n+k-1)Cn.
• The sum of the coefficients of the binomial
expression (x+y)n is 2n.
• To find the sum of the coefficients of a power of
any polynomial, replace the variables by 1.
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Geometry:

• When solving an equation for integer solutions, it


is important to look for factoring. Important
factoring
• forms:
• a2-b2=(a-b)(a+b)
• a3-b3=(a-b)(a2+ab+b2)
• an-bn=(a-b)(an-1+an-2b+an-3b2+...+abn-2+bn-
1)
• a3+b3=(a+b)(a2-ab+b2)
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