InterviewSolution
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InterviewSolution
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Directions: In the following question, two statements are numbered as Quantity I and Quantity II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option.Quantity I: Average of weight of 5 people in a room is 50 kg. One person entered the room and now the average of weight of people inside the room becomes 52 kg. Calculate the weight of the person entered the room.Quantity II: A cricket batsman has 23, 27, 33 and 47 runs in four matches. How many runs he has to make to make his average 40?1. Quantity I < Quantity II2. Quantity I > Quantity II3. Quantity I = Quantity II4. Quantity I ≥ Quantity II5. Quantity I ≤ Quantity II |
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Answer» Correct Answer - Option 1 : Quantity I < Quantity II Solving for Quantity I: Given: Average of weight of 5 people in a room = 50 kg. Average of weight of 6 people inside the room = 52 kg. Formula used: Average = (Sum of values)/(Number of values) Calculations: Let the average of 5 persons be x1, x2, x3, x4, x5 (x1 + x2 + x3 + x4 + x5)/5 = 50 ⇒ x1 + x2 + x3 + x4 + x5 = 250 After one person entered the room, (x1 + x2 + x3 + x4 + x5 + x6)/6 = 52 ⇒ x1 + x2 + x3 + x4 + x5 + x6 = 312 ⇒ x6 = 312 – 250 ⇒ x6 = 62 ∴ Weight of the person entered in room is 62 kg.
Solving for Quantity II: Given: Runs in four matches = 23, 27, 33, 47 Formula used: Average = (Sum of values)/(Number of values) Calculations: Let he make x runs in last match to make average 40. (23 + 27 + 33 + 47 + x)/5 = 40 130 + x = 200 x = 200 – 130 x = 70 ∴ He has to make 70 runs to make his average 40 ∴ Quantity I < Quantity II |
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