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Tuesday, September 12, 2023

CFAT Practice Test Questions with Answers in PROBLEM SOLVING - ps030

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1. How much is the total angle traced by the hour hand and minute hand of a clock when the time is 3:30 AM?


a. 155°

b. 150°

c. 115°

d. 105°  --- answer 


Solution: 


the angle traced by the hour hand in 1 hour is 

=  360° / 12

=  30°



when the time is 3:25 AM 


3 hrs 

= 3 x 30°

= 90°



30 min  

= (30/60) x 30°

= 0.5 x 30°

= 15°


total angle

= 90° + 15°

= 105°




2. Yuri went shopping with $600 and returned home with only $235. What percentage of his original money did he spend?


a. 68.8%

b. 60.8%  --- answer 

c. 80.6%

d. 86.5%


Solution 


money spent

= 600 - 235

= $365


percentage spent

= (365/600) * 100%

= 0.608 * 100%

= 60.8%


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