# GMAT 650+ Math Question 20 | Number Properties

#### Face Values & Place Value | Data Sufficiency Practice

The given question is GMAT 650 level data sufficiency question testing concepts in number properties and number systems. A very interesting GMAT practice question to understand place value and face value of numbers.

Question 20: x is a two-digit positive integer. y is obtained by multiplying the tens place of x by 2. Is y > $$frac{x}{6}$? Statement 1: 20 < x < 30 Statement 2: y = 10 ## Get to Q51 in GMAT Quant #### Online GMAT Course @ INR 3500 ### Video Explanation ## GMAT Live Online Classes #### Start Tue, Oct 12, 2021 ### Explanatory Answer | GMAT Number Properties DS #### Step 1: Decode the Question Stem Is y > $\frac{x}{6}$? We can rewrite the question as "Is 6y > 6?" #### Step 2: Evaluate Statement 1 ALONE Statement 1: 20 < x < 30 x takes values from 21 to 29. For all these values of x, y = 2 × 2 = 4. So, 6y = 24 Approach: Counter Example Example: x = 21, 6y is greater than x. Answer: Yes Counter example: x = 25, 6y is not greater than x. Answer: No Answer to the question "Is 6y > x?" is sometimes YES and sometimes NO. We are not able to find a conclusive answer to the question using statement 1 ALONE. Statement 1 alone is NOT Sufficient. Eliminate answer options A and D. #### Step 3: Evaluate Statement 2 ALONE Statement 2: y = 10 So, the tens place of x is 5. Values that x can take are 50 ≤ x ≤ 59 Because y = 10, 6y = 60 For all values of x in the range 50 ≤ x ≤ 59, 6y > x The answer to the question "Is 6y > x?" is a conclusive YES. We are able to answer the question a definite YES using statement 2 ALONE. Statement 2 AlONE is Sufficient. Eliminate answer options C and E. #### Choice B is the correct answer. #### GMAT Online CourseTry it free! Register in 2 easy steps and Start learning in 5 minutes! #### Already have an Account? #### GMAT Live Online Classes Next Batch Oct 12, 2021 #### GMAT Coaching in Chennai Next Batch after Lockdown #### GMAT Coaching in Chennai Sign up for a Free Demo of our GMAT Classes in Chennai ##### Where is Wizako located? Wizako - GMAT, GRE, SAT Prep An Ascent Education Initiative 14B/1 Dr Thirumurthy Nagar 1st Street Nungambakkam Chennai 600 034. India ##### How to reach Wizako? Phone:$91) 44 4500 8484
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