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by khandelwal.ab » Thu Jun 07, 2012 12:02 pm
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by Anurag@Gurome » Thu Jun 07, 2012 8:17 pm
R.k91 wrote:the average age of 600 students of a class is 10.75; by enrollment of 40 new students , the average age is lowered to 10.4375 years. find the average age of the new students.
Total age of 600 students = 600*(10.75)
Total age of 640 students = 640*(10.4375)

Hence, total age of 40 students = 640*(10.4375) - 600*(10.75)
Hence, average age of 40 students = [640*(10.4375) - 600*(10.75)]/40 = [64*(10.4375) - 60*(10.75)]/4 = [16*(10.4375) - 15*(10.75)]

Now, we can write 10.75 = (10.4375 + 0.3125)

Hence, [16*(10.4375) - 15*(10.75)] = [16*(10.4375) - 15*(10.4375 + 0.3125)] = [16*(10.4375) - 15*(10.4375) - 15*(0.3125)] = [(16 - 15)*10.4375) - 15*(0.3125)] = [10.4375 - 4.6875] = 5.75

Therefore, the average age of the new students is 5.75 years.
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by Stuart@KaplanGMAT » Thu Jun 07, 2012 9:47 pm
R.k91 wrote:the average age of 600 students of a class is 10.75; by enrolment of 40 new students , the average age is lowered to 10.4375 years. find the average age of the new students.
Hi!

Is this a GRE question? There are no entry questions on the GMAT.

The first thing to note is that, on the GRE, you actually have access to a calculator. While you don't need to use it (in fact it's often quicker to solve multiple choice questions without a calculator), on the numeric entry questions the calculator can be a very valuable tool.

If you have access to a calculator, you can simply apply the average formula twice (as Anurag did) without all of fancy simplification (which is way beyond the scope of a non-calculator standardized test).

Please always cite the source of your questions!
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by 1947 » Thu Jun 07, 2012 9:50 pm
Is this not too calculation intensive.
[16*(10.4375) - 15*(10.75)]
Can't we approximate it to
16*10.4-15*10.7
=166.4-162.0
=4.4(approx)
I know approx is no way near to real thing...
but in actual exam that's what I would have done :(
If my post helped you- let me know by pushing the thanks button. Thanks
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by Stuart@KaplanGMAT » Thu Jun 07, 2012 10:12 pm
1947 wrote:Is this not too calculation intensive.
[16*(10.4375) - 15*(10.75)]
Can't we approximate it to
16*10.4-15*10.7
=166.4-162.0
=4.4(approx)
I know approx is no way near to real thing...
but in actual exam that's what I would have done :(
Hi!

If it's actually a numeric entry question, then you have to enter the answer on the computer - it's not multiple choice.

Again, these questions do NOT appear on the GMAT.
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