# Quantitative Ability (Part 2 of 9)

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Directions: Answer the questions on the basis of the information given below

Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a. m. From A at a speed of 5 krnlhr, reaches B and returns to A at the same speed. Shyam starts at 9: 45 a. m. From A at a speed of 10 km/hr, reaches B and comes back to A at the same speed.

- At what time do Ram and Shyam first meet each other?
- 10 a. m.
- 10: 10a. m.
- 10: 20 a. m.
- 10: 30a. m.

Answer: b

- At what time does Shyam overtake Ram?
- 10: 20a. m.
- 10: 30 a. m.
- 10: 40a. m.
- 10: 50a. m.

Answer: b

- The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.1 0n, on the nth day of 2007 (n = 1,2, … 100) , and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = 1,2, … 365) . On which date in 2007 will the prices of these two varieties of tea be equal?
- June 30
- May 21
- April 11
- May 20
- April 10

Answer: d

- A quadratic function f (x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f (x) at x = 10?
- -105
- -119
- -159
- -110
- -180

Answer: c

- Two circles with centres P and Q cut each other at two distinct points A and B. The circles have the same radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees?
- Between 0 and 45
- Between 0 and 90
- Between 0 and 30
- Between 0 and 60
- Between 0 and 75

Answer: d