In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 88,000, how many purple chips were selected? 
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
Correct answer is option 'B'. Can you explain this answer?

GMAT Question

By Aaditya Sharma · 4 weeks ago ·GMAT
2 Answers
Preitee Ranjan Pradhan answered 3 weeks ago
88000=2^6*11*5^3
5< />< />
so x can from 6 to 10

but 88000 has no factor as 3,7
so 6,7,9 are out
rest are 8 and 10
so if I choose x as 10 ,I have 3 quantity of 2 and 5 to be selected that will lead to 8 and 11 multiplication.but we know that no chips is of value 8 and I have already selected x as 10.so x can't be 10.then the last option x as 8 , which can be 2 quantity of 2^3.
so 2 is the right answer.no calculation required.this is a logic based test of math.

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