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# If p is the sum of all the integers from 1 to 150, inclusive, and q is

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Math Expert
Joined: 02 Sep 2009
Posts: 58320
If p is the sum of all the integers from 1 to 150, inclusive, and q is  [#permalink]

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21 Dec 2018, 03:00
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Difficulty:

15% (low)

Question Stats:

90% (01:03) correct 10% (01:44) wrong based on 26 sessions

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If p is the sum of all the integers from 1 to 150, inclusive, and q is the sum of all the integers from 1 to 148, inclusive, what is the value of p – q?

A. 297
B. 298
C. 299
D. 300
E. 301

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Re: If p is the sum of all the integers from 1 to 150, inclusive, and q is  [#permalink]

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21 Dec 2018, 03:19
Bunuel wrote:
If p is the sum of all the integers from 1 to 150, inclusive, and q is the sum of all the integers from 1 to 148, inclusive, what is the value of p – q?

A. 297
B. 298
C. 299
D. 300
E. 301

p=1+2+3+4+...+150
q=1+2+3+4+...+148

p-q=149+150=299

IMO, Option C
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Joined: 04 Jan 2015
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If p is the sum of all the integers from 1 to 150, inclusive, and q is  [#permalink]

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21 Dec 2018, 05:10

Solution

Given:
• p is the sum of all the integers from 1 to 150, both inclusive
• q is the sum of all the integers from 1 to 148, both inclusive

To find:
• The value of p - q

Approach and Working:
• p = 1 + 2 + 3 + 4 + …………. + 148 + 149 + 150
• q = 1 + 2 + 3 + 4 + … + 147 + 148

Thus, p – q = 149 + 150 = 299

Hence, the correct answer is Option C

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If p is the sum of all the integers from 1 to 150, inclusive, and q is   [#permalink] 21 Dec 2018, 05:10
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