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In a class of 60 students, half of them have a height of 160 cm and one third have a height of 162 cm. What should be the height of remaining students so that average height of class is 161.2 cm?1). 162. 9 cm2). 163 cm3). 163.1 cm4). 163.2 cm |
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Answer» Half of STUDENTS, i.e., 60/2 = 30 have a height of 160 cm. One third of students, i.e., 60/3 = 20 have a height of 162 cm. Remaining students = 60 – 30 – 20 = 10 Let height of remaining students be T cm. Average height = 161.2 cm ⇒ 161.2 = [(30 × 160) + (20 × 162) + 10T]/60 ⇒ 9672 = 4800 + 3240 + 10T ⇒ T = 163.2 ∴ Height of remaining students is 163.2 cm. |
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