phoenix9801 wrote:
The Book does not show any answers. Hence I need to figure out if I have done them correctly or not. Please help me if you can. Would greatly appropriate it. Thanks
A factory produced 4 preliminary shipments. The first shipment produced 360 units and each subsequent shipment produced twice as many units as the previous shipment. If the first shipment produced 2 defective units, the second and third shipment each produced 4 defective units, and fourth shipment produced 8 defective units, how many defective units can the factory expect from a shipment of 9,000 units based on the ratio of defective units to non-defective units from these preliminary shipments?
A. 20
B. 30
C. 40
D. 127.5
E. 270
Total units produced is 360+360*2+360*4+360*8=360(1+2+4+8)=360*15=5,400.
Total defective units is 2+4+4+8=18.
The ratio of defective units to non-defective units is 18/5,400=1/300 (1 defective unit out of 300).
So, based on this statistics the factory should expect 9,000*1/300=30 defective units from a shipment of 9,000 units.
Answer: B.
_________________
PLEASE READ AND FOLLOW: 11 Rules for Posting!!!
RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory
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. NEW!!!
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. NEW!!!
What are GMAT Club Tests?
25 extra-hard Quant Tests
Find out what's new at GMAT Club - latest features and updates
close
66% (01:19) correct
