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• ### $450 Tuition Credit & Official CAT Packs FREE February 15, 2019 February 15, 2019 10:00 PM EST 11:00 PM PST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### Free GMAT practice February 15, 2019 February 15, 2019 10:00 PM EST 11:00 PM PST Instead of wasting 3 months solving 5,000+ random GMAT questions, focus on just the 1,500 you need. # How many numbers between 1 and 200, inclusive, have a 2 in the units  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6949 GMAT 1: 760 Q51 V42 GPA: 3.82 How many numbers between 1 and 200, inclusive, have a 2 in the units [#permalink] ### Show Tags 11 Feb 2019, 01:44 00:00 Difficulty: 55% (hard) Question Stats: 81% (01:46) correct 19% (01:55) wrong based on 27 sessions ### HideShow timer Statistics [GMAT math practice question] How many numbers between $$1$$ and $$200$$, inclusive, have a $$2$$ in the units place and are divisible by $$4$$? A. 8 B. 9 C. 10 D. 11 E. 12 _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
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Re: How many numbers between 1 and 200, inclusive, have a 2 in the units  [#permalink]

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11 Feb 2019, 03:21
MathRevolution wrote:
[GMAT math practice question]

How many numbers between $$1$$ and $$200$$, inclusive, have a $$2$$ in the units place and are divisible by $$4$$?

$$A. 8$$
$$B. 9$$
$$C. 10$$
$$[m]D. 11$$
E. 12[/m]

Hi...

The property of divisibility by 4 is that the last two digits are divisible by 4..
Now if the number is x2, x has to be an odd number for being divisible by 4, so x can take any of 5 odd numbers.
Alsi the hundreds digit could be 0 or 1 that is 0x2 or 1x2, so 2 ways

Total 2*5=10

C

OA is wrong as A is not the answer
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Re: How many numbers between 1 and 200, inclusive, have a 2 in the units  [#permalink]

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11 Feb 2019, 03:53
MathRevolution wrote:
[GMAT math practice question]

How many numbers between $$1$$ and $$200$$, inclusive, have a $$2$$ in the units place and are divisible by $$4$$?

$$A. 8$$
$$B. 9$$
$$C. 10$$
$$[m]D. 11$$
E. 12[/m]

Just see the series
12,32,52...192

There will be 10 numbers

Ans:C
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Re: How many numbers between 1 and 200, inclusive, have a 2 in the units  [#permalink]

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11 Feb 2019, 05:38
How is A the right answer... From 1 to 100 there are 5 multiples of 4 which have 2 in its units place ( 12,32,52,72,92).
The same repeats in 100-200 ( 112,132,152,172,192)

Therefore there are 10 such numbers.... Option c must be the right answer.

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Re: How many numbers between 1 and 200, inclusive, have a 2 in the units  [#permalink]

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Updated on: 12 Feb 2019, 04:43
MathRevolution wrote:
[GMAT math practice question]

How many numbers between $$1$$ and $$200$$, inclusive, have a $$2$$ in the units place and are divisible by $$4$$?

$$A. 8$$
$$B. 9$$
$$C. 10$$
$$[m]D. 11$$
E. 12[/m]

total integers divisible by 4 from 1 to 200 = 50
and unit digit of 2 would come when 4 is multiplied by 3 or 8
so
we can have two set of digit ranges ( 3,13,23,33,43) and ( 8,18,28,38,48)

total = 10
IMO C
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Originally posted by Archit3110 on 12 Feb 2019, 04:32.
Last edited by Archit3110 on 12 Feb 2019, 04:43, edited 1 time in total.
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Re: How many numbers between 1 and 200, inclusive, have a 2 in the units  [#permalink]

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12 Feb 2019, 04:42
MathRevolution wrote:
[GMAT math practice question]

How many numbers between $$1$$ and $$200$$, inclusive, have a $$2$$ in the units place and are divisible by $$4$$?

$$A. 8$$
$$B. 9$$
$$C. 10$$
$$[m]D. 11$$
E. 12[/m]

There will be a difference of 20 among the cases which have a $$2$$ in the units place and are divisible by $$4$$

12 ,32,52,72,92,112,132,152,172,192

C
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Re: How many numbers between 1 and 200, inclusive, have a 2 in the units  [#permalink]

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13 Feb 2019, 00:54
=>

In order for a number with 2 in the units place to be divisible by 4, the last two digits must be one of 12, 32, 52, 72 and 92.
Thus, the numbers between 1 and 200, inclusive, satisfying this property are
12, 32, 52, 72, 92, 112, 132, 152 and 172.

There are 8 such numbers. Therefore, A is the answer.
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Re: How many numbers between 1 and 200, inclusive, have a 2 in the units   [#permalink] 13 Feb 2019, 00:54
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