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Number Properties Question (Kaplan Math Workbook-Q.No. 19.) [#permalink]

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15 Jul 2013, 10:11

Q.How many Positive Integers less than 60 are equal to the product of a positive multiple of 5 and an even number ?

Ans. Positive multiples of 5 are 10,20,30,40,50,60....... Therefore, according to question....

Positive integer less than 60 = (Positive multiple of 5 * even no.) Let us first take 10 as positive multiple of 5 therefore..... P = 10* even no. (taking smallest even no.2) P = 10*2 = 20 ( which is less than 60) - 1 taking next even no. 4 P = 10* 4 = 40 ( less than 60) - 2 and now 6 P = 10*6 = 60 (not less than 60)

now next multiple is 20 P = 20* 2 = 40 ( less than 60) - 3 P = 20* 3 = 60 ( not less than 60 ) next multiple 40 P = 30*2=60 ( not less than 60)

Therefore we got only 3 numbers less than 60 which satisfy the condition.

But in question the options are as follows 1. 4 2. 5 3. 9 4. 10 5. 11