InterviewSolution
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Find the total number of balls in the bag1. 912. 843. 634. none of these5. cannot be determined |
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Answer» Correct Answer - Option 3 : 63 Calculation: Let the number of green balls and blue balls present in the bag be 'g' and 'b' respectively Also, number of red balls = 17 Total number of balls = (17 + g + b) Probability of drawing a red ball = 17/(17 + g + b) Probability of drawing a green ball = g/(17 + g + b) Probability of drawing a blue ball = b/(17 + g + b) Now a/q we have ⇒ g/(17 + g + b) = 1/7 + 17/(17 + g + b) ⇒ (g - 17)/(17 + g + b) = 1/7 ⇒ 6g - b = 136 .....(i) also, ⇒ b/(17 + g + b) = 1/21 + 17/(17 + g + b) ⇒ (b - 17)/(17 + g + b) = 1/21 ⇒ 20b - g = 374 .....(ii) using equation (i) and (ii), we get g = 26, b = 20 ∴ Required total number of balls in the bag = (26 + 20 + 17) = 63 |
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