XAT 2012 — QA & DI Question 22
Answer the following question based on the information given below.
Ramya, based in Shanpur, took her car for a 400 km trip to Rampur. She maintained a log of the odometer readings and the amount of petrol she purchased at different petrol pumps at different prices (given below). Her car already had 10 litres of petrol at the start of the journey, and she first purchased petrol at the start of the journey, as given in table below, and she had 5 litres remaining at the end of the journey.
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Suresh, who runs a bakery, uses a conical shaped equipment to write decorative labels (e.g., Happy Birthday etc.) using cream. The height of this equipment is 7 cm and the diameter of the base is 5 mm. A full charge of the equipment will write 330 words on an average. How many words can be written using three fifth of a litre of cream?
Answer & solution
- A
45090
- B
45100
- C
46000
- D
43200
None of the above
Volume of the equipment is;
1/3 × π × r2 × h = 1/3 × 22/7 × 7 × (0.25)2 = 11/6 cm3
Now, 11/24 cm3 can write 330 words.
Hence, 1 cm3 can write,
330 × 24/11 = 720
We know that 1 cm3 = 1 ml
3/5th of a litre is 600 ml which equals 600 cm3
Hence, 600 cm3 will write, 720 × 600 = 432000 words
Hence, option (e).