In country C, the percentage of men with phones is between 35% and 40%. Do at least half the men with cell phones also have cars?Say there are 100 men in country C. We are given that between 35 and 40 men have phones. The question asks whether at least half of them also have cars.

100 = {phone} + {car} - {both} + {neither}.

(1) In country C, between 70% and 75% of the men have cars --> between 70 and 75 men have cars. Now, if 35 men have phones, 70 have cars and no one is without any, then only 5 men have both phones and cars, which is less than half of the men having phones (35). But if 40 men have phones, 75 have cars and 10 have neither, then 25 men have both phones and cars, which is more than half of the men having phones (40). Not sufficient.

(2) In country C, between 40% and 45% of the men with cars have cell phones. If there are only 10 men with cars and only 4 of them have both phones and cars, then less than half of the men having phones also have cars (100=40+10-4+56). But if all 100 men have cars and 40 of them have both phones and cars, then more than half of the men having phones also have cars (100=40+100-40+0). Not sufficient.

(1)+(2) Even if there are only 70 men with cars (min possible) and only 40% of them also have phones (min possible), then 70*0.4=28 men have both phones and cars (min possible) and even if there are 40 men with phones (max possible), then still more than half of the men having phones (40) also have cars (28). Sufficient.

Answer: C.

Hope it's clear.

_________________

New to the Math Forum?

Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:

GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:

PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.

What are GMAT Club Tests?

Extra-hard Quant Tests with Brilliant Analytics