• 7 CATs FREE!
    If you earn 100 Forum Points

    Engage in the Beat The GMAT forums to earn
    100 points for $49 worth of Veritas practice GMATs FREE

    Veritas Prep
    VERITAS PRACTICE GMAT EXAMS
    Earn 10 Points Per Post
    Earn 10 Points Per Thanks
    Earn 10 Points Per Upvote
    REDEEM NOW

When the positive number a is rounded to the nearest tenth,

This topic has 1 expert reply and 0 member replies

When the positive number a is rounded to the nearest tenth,

Post

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Difficult



When the positive number a is rounded to the nearest tenth, the result is the number b. What is the tenths digit of a?

(1) When a is rounded to the nearest integer, the result is less than a.

(2) When b is rounded to the nearest integer, the result is greater than b.

OA C

Source: Manhattan Prep

  • +1 Upvote Post
  • Quote
  • Flag
Post
BTGmoderatorDC wrote:
When the positive number a is rounded to the nearest tenth, the result is the number b. What is the tenths digit of a?

(1) When a is rounded to the nearest integer, the result is less than a.

(2) When b is rounded to the nearest integer, the result is greater than b.

OA C

Source: Manhattan Prep
Say,

a = x.yz, where x is units' digit, y is tenth digit, and z is hundredth digit and
b = x.p, where x is units' digit, and p is tenth digit (p is either y or y + 1)

We have to get the value of y.

Let's take each statement one by one.

(1) When a is rounded to the nearest integer, the result is less than a.

Say the result is a' such that a' < a

Or, a' = x, we see that x < x.yz

Here, y can be any digit 0, 1, 2, 3, or 4. No unique value of y. Insufficient.

(2) When b is rounded to the nearest integer, the result is greater than b.

Say the result is b' such that b' > b

Or, b' = x + 1, we see that (x + 1) > x.p

Here, p can be any digit 5, 6, 7, 8, or 9. The value of p will depend on the values of y and z.

Case 1: Say a = x.46, then b = x.5 and b' = x + 1. Here, y = 4
Case 2: Say a = x.56, then b = x.6 and b' = x + 1. Here, y = 5

No unique value of y. Insufficient.

(1) and (2) together

Considering Statement 1, we cannot have Case 2 as a valid case, else for a = x.56, we will have a' = x + 1 > a (= x.56); this is invalid since as per Statement 1, we must have a' < a.

This implies that a must be x.4z, where z ≥ 5

This way, we have

    a = x.4z
    a' = x < a (= x.4z)
    b = x.5, since z ≥ 5 and
    b' = x + 1 > b (= x.5)

Thus, the tenths digit of a = 4. Sufficient.

The correct answer: C

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: Manhattan Review Chennai | Hyderabad | GRE Prep New Delhi | Tarnaka GRE Coaching | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

  • +1 Upvote Post
  • Quote
  • Flag
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • The Princeton Review
    FREE GMAT Exam
    Know how you'd score today for $0

    Available with Beat the GMAT members only code

    MORE DETAILS
    The Princeton Review
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep

Top First Responders*

1 Brent@GMATPrepNow 69 first replies
2 fskilnik@GMATH 54 first replies
3 Jay@ManhattanReview 48 first replies
4 GMATGuruNY 35 first replies
5 Rich.C@EMPOWERgma... 31 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts

1 image description fskilnik@GMATH

GMATH Teacher

128 posts
2 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

101 posts
3 image description Max@Math Revolution

Math Revolution

92 posts
4 image description Jay@ManhattanReview

Manhattan Review

86 posts
5 image description Rich.C@EMPOWERgma...

EMPOWERgmat

78 posts
See More Top Beat The GMAT Experts