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How many even numbers, from 10 to 100 (both inclusive), are not multiples of 7?
(A) 32
(B) 38
(C) 39
(D) 45
(E) 46
(A) 32
(B) 38
(C) 39
(D) 45
(E) 46
08 Jan 2022, 04:36
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Even Multiples of 7 would be every 2nd multiple in table of 7.
so upto 100, there are total(even and odd) 14 multiples, therefore even multiples will be 14/2=7 nos
total even number from 10 to 100== 50-4=46 ( 50 even numers from 1 to 100, deduct 4 nos for 2, 4,6,8)
hence even numbers not multiples of 7=46-7=39
so upto 100, there are total(even and odd) 14 multiples, therefore even multiples will be 14/2=7 nos
total even number from 10 to 100== 50-4=46 ( 50 even numers from 1 to 100, deduct 4 nos for 2, 4,6,8)
hence even numbers not multiples of 7=46-7=39
08 Jan 2022, 11:50
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Since we include 10 and 100, there are 5 even numbers for every 10 counted (Starting at 10, 12, 14, 16, 18) therefore we have 45 even numbers.
We have 13 multiples of 7 between 10 and 100 of which 7 are even (every second multiple).
\(45-7=38\)
IMO B
We have 13 multiples of 7 between 10 and 100 of which 7 are even (every second multiple).
\(45-7=38\)
IMO B
