InterviewSolution
| 1. |
The average height of three women is 164 cm. When another woman, the fourth one, joins the group, the average reduces by 4 cm. Now, a fifth woman with height 4 cm more than the fourth replaces one of the first three. The average height of these four is then 162 cm. What is the height of the replaced woman?1). 108 cm2). 112 cm3). 144 cm4). None of the above |
|
Answer» Average height of 3 WOMEN = 164 ⇒ total height = 164 × 3 = 492 cm Now, as another woman joins the GROUP, average = total height of four woman/4 ⇒ Average = (height of 3 previous woman + height of forth one, h)/4 ⇒ 164 – 4 = (492 + h)/4 ⇒ 160 × 4 – 492 = h ⇒ h = 640 – 492 = 148 cm Now Fifth woman has height 4 cm more than the forth one ⇒ height of 5th woman = 148 + 4 = 152 cm 5th woman replaced one of the previous three women ⇒ New average of four people = (height of fifth woman + height of pervious 3 woman – height of replaced one, x + height of 4th woman)/4 Given, new average = 162 ⇒ 162 = (152 + 492 – x + 148)/4 ⇒ 648 = 792 – x ∴ x = 144 cm |
|