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by Azizakaria » Mon Dec 07, 2015 3:25 am
34. What is the range of a set consisting of the first 100 multiples of 7 that are
greater than 70?
(A) 693
(B) 700
(C) 707
(D) 777
(E) 847

why the answer is A ??
and why subtracting 7.
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by MartyMurray » Mon Dec 07, 2015 3:37 am
The first of the multiples of 7 that are greater than 70 is 70 + 7 = 77.

The second of the multiples of 7 that are greater than 70 is 70 + (2 x 7) = 84

The hundredth of the multiples of 7 that are greater than 70 is 70 + (100 x 7) = 770

The range is the positive difference between the highest member of the set and the lowest member of the set.

770 - 77 = 693

So the correct answer is A.
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by GMATGuruNY » Mon Dec 07, 2015 5:04 am
Azizakaria wrote:34. What is the range of a set consisting of the first 100 multiples of 7 that are greater than 70?
(A) 693
(B) 700
(C) 707
(D) 777
(E) 847
Range = biggest - smallest.

Any set of 100 consecutive multiples of 7 will have the SAME RANGE.
Thus, the problem above is the same as the following:
What is the range of the first 100 positive multiples of 7?

First positive multiple of 7 = 1*7 = 7.
100th positive multiple of 7 = 100*7 = 700.
Range = biggest - smallest = 700-7 = 693.

The correct answer is A.
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