Permutations and Combinations-Combination as Selection (KVPY Stream-SA (Class 11) Math): Questions 1 - 2 of 2

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Question number: 1

» Permutations and Combinations » Combination as Selection

Appeared in Year: 2014

MCQ▾

Question

Let x and y be two 2-digit numbers such that y is obtained by reversing the digits of x. Suppose they also satisfy x2y2=m2 for some positive integer m. The value of x+y+m is

Choices

Choice (4) Response

a.

112

b.

144

c.

154

d.

88

Question number: 2

» Permutations and Combinations » Combination as Selection

Appeared in Year: 2014

MCQ▾

Question

The number of all 3-digit numbers abc (in base 10) for which,

(a×b×c)+(a×b)+(b×c)+(c×a)+(a+b+c)=29 is

Choices

Choice (4) Response

a.

6

b.

14

c.

10

d.

18

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