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There are two sets  and  each of which consists of three numbers in A.P. whose sum is 15 and where  and  are the common differences such that . If , where  and  are the product of the numbers, respectively, and  in the two sets

 

Sum of the product of the numbers in set  taken two at a time is

 

a)

51

b)

71

c)

74

d)

86



Question ID - 51128 | SaraNextGen Top Answer

There are two sets  and  each of which consists of three numbers in A.P. whose sum is 15 and where  and  are the common differences such that . If , where  and  are the product of the numbers, respectively, and  in the two sets

 

Sum of the product of the numbers in set  taken two at a time is

 

a)

51

b)

71

c)

74

d)

86

1 Answer
127 votes
Answer Key / Explanation : (b) -

(b)

Let numbers is set  be  and these in set  be . Now,

Set

Set

Where

Also,

 but

So, the numbers in set  are 3, 5, 7 and the numbers in set  are 4, 5, 6

Now, sum of product of numbers in set  taken two at a time is . The sum of product of numbers in set  taken two at a time is . Also,

127 votes


127