BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Is C square of an Integer? 1) Sum of the factors of integer

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 1100
Joined: Sat May 10, 2014 11:34 pm
Location: New Delhi, India
Thanked: 205 times
Followed by:24 members

Is C square of an Integer? 1) Sum of the factors of integer

by GMATinsight » Fri Apr 27, 2018 12:44 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Is C square of an Integer?

1) Sum of the factors of integer C is ODD
2) Number of distinct factors of Integer C is ODD

Source: www.GMATinsight.com

Answer: Option B
"GMATinsight"Bhoopendra Singh & Sushma Jha
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
Top
Source: — Data Sufficiency |
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pm
Followed by:5 members

by deloitte247 » Sat Jun 02, 2018 5:39 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Statement 1 = Sum of the factors of integers C is ODD.
Factors of 9 = 1, 3, 9, sum = ODD.
Factors of 8 = 1, 2, 4, 8, sum = ODD.
Hence, Statement 1 is not SUFFICIENT.

Statement 2 = Number of distinct factors of integer C is ODD.
For an integer $$N=x^ay^{b\ }\ $$ the number of factors
$$=\left(a+1\right)\cdot\left(b+1\right)$$
if $$\left(a+1\right),\left(b+1\right)$$ will also be ODD or A, B are even. Hence we have
$$N=x^{even}\cdot y^{even}$$
N=square of an integer / numbers
Statement 2 is SUFFICIENT.
Final Answer = Option B because statement 2 alone is SUFFICIENT.
Top
Post new topic Post Reply
• Page 1 of 1