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Math Expert V
Joined: 02 Sep 2009
Posts: 59674
Andy solves problems 74 to 125 inclusive in a Math exercise. How many  [#permalink]

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Difficulty:   15% (low)

Question Stats: 76% (00:26) correct 24% (00:31) wrong based on 71 sessions

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Andy solves problems 74 to 125 inclusive in a Math exercise. How many problems does he solve?

A. 53
B. 52
C. 51
D. 50
E. 49

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VP  D
Joined: 20 Jul 2017
Posts: 1145
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: Andy solves problems 74 to 125 inclusive in a Math exercise. How many  [#permalink]

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1
Bunuel wrote:
Andy solves problems 74 to 125 inclusive in a Math exercise. How many problems does he solve?

A. 53
B. 52
C. 51
D. 50
E. 49

Numbers form an AP series {74, 75, 76, . . . . . . .125}
--> Last term = a + (n - 1)d
--> 125 = 74 + (n - 1)1
--> 125 = 73 + n
--> n = 52

IMO Option B
GMAT Club Legend  V
Joined: 18 Aug 2017
Posts: 5473
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Andy solves problems 74 to 125 inclusive in a Math exercise. How many  [#permalink]

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1
Bunuel wrote:
Andy solves problems 74 to 125 inclusive in a Math exercise. How many problems does he solve?

A. 53
B. 52
C. 51
D. 50
E. 49

we can solve for consective terms ;

125-74 +1 ; 52
IMO B
Intern  B
Joined: 03 May 2019
Posts: 5
Re: Andy solves problems 74 to 125 inclusive in a Math exercise. How many  [#permalink]

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Dillesh4096 wrote:
Bunuel wrote:
Andy solves problems 74 to 125 inclusive in a Math exercise. How many problems does he solve?

A. 53
B. 52
C. 51
D. 50
E. 49

Numbers form an AP series {74, 75, 76, . . . . . . .125}
--> Last term = a + (n - 1)d
--> 125 = 74 + (n - 1)1
--> 125 = 73 + n
--> n = 52

IMO Option B

Hi! How can we deal with such a question, to find the numbers, when it is not in an A.P? Bunuel
GMAT Tutor S
Joined: 17 Sep 2014
Posts: 290
Location: United States
GMAT 1: 780 Q51 V45 GRE 1: Q170 V167 Andy solves problems 74 to 125 inclusive in a Math exercise. How many  [#permalink]

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Bunuel wrote:
Andy solves problems 74 to 125 inclusive in a Math exercise. How many problems does he solve?

A. 53
B. 52
C. 51
D. 50
E. 49

We are counting 74 to 125. If we subtract 73 on both ends we are counting 1 to 52 which is 52 numbers. Hence the formula for the number of consecutive terms is the range + 1.

Let's assume we were counting all the even-numbered questions between 74 and 125 (inclusive) instead, then we would start by finding the effective range first which is 74 to 124. Then we apply the same formula, but the range will be cut in half first because count only one number for every 2 numbers in this range, and finally don't forget to add 1. So (124-74)/2 + 1 = 26 would be the amount of even-numbered questions in between 74 and 125 inclusive.

Ans: B
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Originally posted by TestPrepUnlimited on 21 Oct 2019, 09:37.
Last edited by TestPrepUnlimited on 25 Oct 2019, 00:55, edited 1 time in total.
GMAT Tutor S
Joined: 17 Sep 2014
Posts: 290
Location: United States
GMAT 1: 780 Q51 V45 GRE 1: Q170 V167 Andy solves problems 74 to 125 inclusive in a Math exercise. How many  [#permalink]

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1
Most of the series on GMAT will be arithmetic. Otherwise, it could be manually counting or finding patterns. Take this question for example:

How many three-digit numbers have a tens digit of 7?

We start by writing a three-digit number, leaving the hundreds and units digit blank: _ 7 _. Notice that the hundreds digit can range from 1 to 9, and the units digit can range from 0 to 9. So that's 9 possibilities for the hundreds digits and 10 possibilities for the units digits. The seven is fixed so it's just 1 possibility, finally we multiply all those numbers to get 9*1*10 = 90 possibilities.

So there we go, that's pretty much all you need to know for GMAT in terms of counting numbers in a range! Also please see check out my 1st response as I include the general method of counting numbers within a particular range.

Roosh18 wrote:
Dillesh4096 wrote:
Bunuel wrote:
Andy solves problems 74 to 125 inclusive in a Math exercise. How many problems does he solve?

A. 53
B. 52
C. 51
D. 50
E. 49

Numbers form an AP series {74, 75, 76, . . . . . . .125}
--> Last term = a + (n - 1)d
--> 125 = 74 + (n - 1)1
--> 125 = 73 + n
--> n = 52

IMO Option B

Hi! How can we deal with such a question, to find the numbers, when it is not in an A.P? Bunuel

_________________
Source: We are an NYC based, in-person and online GMAT tutoring and prep company. We are the only GMAT provider in the world to guarantee specific GMAT scores with our flat-fee tutoring packages, or to publish student score increase rates. Our typical new-to-GMAT student score increase rate is 3-9 points per tutoring hour, the fastest in the world. Feel free to reach out!

Originally posted by TestPrepUnlimited on 21 Oct 2019, 09:44.
Last edited by TestPrepUnlimited on 25 Oct 2019, 01:35, edited 1 time in total.
e-GMAT Representative V
Joined: 04 Jan 2015
Posts: 3158
Re: Andy solves problems 74 to 125 inclusive in a Math exercise. How many  [#permalink]

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Solution

Given:
• Andy solves math problems from question number 74 to 125, both inclusive

To find:
• The number of problems solved by Andy

Approach and Working Out:
• The total number of problems solved by Andy = 125 – 73 = 52

Hence, the correct answer is Option B.

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Intern  B
Joined: 28 Jan 2019
Posts: 37
Re: Andy solves problems 74 to 125 inclusive in a Math exercise. How many  [#permalink]

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For inclusive counting remember the equation:

(High - Low)/increment + 1

(125-74)/1 + 1 = 52
Target Test Prep Representative V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8678
Location: United States (CA)
Re: Andy solves problems 74 to 125 inclusive in a Math exercise. How many  [#permalink]

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Bunuel wrote:
Andy solves problems 74 to 125 inclusive in a Math exercise. How many problems does he solve?

A. 53
B. 52
C. 51
D. 50
E. 49

When we include both the first and last items, as in this question, we must add 1 to the difference.

Thus, the number of problems Andy solves is 125 - 74 + 1 = 52.

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