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04 Apr 2020, 09:31
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A
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Difficulty:
35%
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Question Stats:
78% (02:30) correct
22%
(03:02)
wrong
based on 152
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The average height of 40 students is 163 cm. On a particular day, three students A, B, C were absent and the average of the remaining 37 students was found to be 162 cm. If A, B have equal heights and the height of C be 2 cm less than that of A, find the height of A.
(a) 176 cm
(b) 166 cm
(c) 180 cm
(d) 186 cm
(e) None of these
(a) 176 cm
(b) 166 cm
(c) 180 cm
(d) 186 cm
(e) None of these
04 Apr 2020, 09:58
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Total height of 40 students =1630×40=6520
Total height of remaining 37 students =162×37=5994
Total height of a,b and c =6520 -5994= 526
Let height of A and B = x
Therefore height of c = x-2
Now 3x-2 =526
3x=528
X =176 cm
Option A is the answer
Posted from my mobile device
Total height of remaining 37 students =162×37=5994
Total height of a,b and c =6520 -5994= 526
Let height of A and B = x
Therefore height of c = x-2
Now 3x-2 =526
3x=528
X =176 cm
Option A is the answer
Posted from my mobile device
04 Apr 2020, 10:47
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Let the height of A , B, C be y cm, y cm and (y - 2) cm respectively
Then, y + y + (y - 2) = 163 x 40 - 162 x 37
⇒ 3y - 2 = 526
∴ y = 176 cm
correct answer A
Then, y + y + (y - 2) = 163 x 40 - 162 x 37
⇒ 3y - 2 = 526
∴ y = 176 cm
correct answer A
