CAT 1993 — QA Question 30
Basics of Mensuration/PrismEasy
Passage / Data
Answer the following questions based on the information given below:
ABC forms an equilateral triangle in which B is 2 km from A. A person starts walking from B in a direction parallel to AC and stops when he reaches a point D directly east of C. He, then, reverses direction and walks till he reaches a point E directly south of C.
A slab of ice 8 inches in length, 11 inches in breadth, and 2 inches thick was melted and resolidified into the form of a rod of 8 inches diameter. The length of such a rod, in inches, is nearest to
Answer & solution
- A
3
3.5
- C
4
- D
4.5
Solution
Let l be the length of the rod, then
Volume of slab = Volume of rod
⇒ 8 × 11 × 2 = π × × l
⇒ l = 11/π = 3.5 inches.
Hence, option (b).