The GMAT Math practice question given below is a sequences and series question. Concept: computing sums of two series of even numbers. A medium difficulty GMAT 650 level problem solving question.

Question 21: Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 and 150 inclusive. What is the difference between the sum of elements of set B and that of set A?

- 2500
- 5050
- 11325
- 6275
- 2550

@ INR

**SET A:** {2, 4, 6, 8,...., 50}. Set of first 25 consecutive positive even numbers.

**SET B:** {102, 104, 106,....., 150}. Another set of 25 consecutive even numbers starting from 102.

Difference between 1st term of set A and that of set B is 100. Difference between 2nd term of set A and that of set B is 100.

Each term in set B is 100 more than the corresponding term in set A.

So sum of the differences of all the terms is (100 + 100 + 100 + ....) = 25 * 100 = 2500.

Copyrights © 2016 - 21 All Rights Reserved by Wizako.com - An Ascent Education Initiative.

Privacy Policy | Terms & Conditions

GMAT^{®} is a registered trademark of the Graduate Management Admission Council (GMAC). This website is not endorsed or approved by GMAC.

GRE^{®} is a registered trademarks of Educational Testing Service (ETS). This website is not endorsed or approved by ETS.

SAT^{®} is a registered trademark of the College Board, which was not involved in the production of, and does not endorse this product.

Wizako - GMAT, GRE, SAT Prep

An Ascent Education Initiative

14B/1 Dr Thirumurthy Nagar 1st Street

Nungambakkam

Chennai 600 034. India

**Phone:** (91) 44 4500 8484

**Mobile:** (91) 95000 48484

**WhatsApp:** WhatsApp Now

**Email:** learn@wizako.com

Leave A Message