Quantitative Ability (Part 2 of 9)

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.

  1. At what time do Ram and Shyam first meet each other?

    1. 10 a. m.

    2. 10: 10a. m.

    3. 10: 20 a. m.

    4. 10: 30a. m.

    Answer: b

  2. At what time does Shyam overtake Ram?

    1. 10: 20a. m.

    2. 10: 30 a. m.

    3. 10: 40a. m.

    4. 10: 50a. m.

    Answer: b

  3. 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?

    1. June 30

    2. May 21

    3. April 11

    4. May 20

    5. April 10

    Answer: d

  4. 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?

    1. -105

    2. -119

    3. -159

    4. -110

    5. -180

    Answer: c

  5. 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?

    1. Between 0 and 45

    2. Between 0 and 90

    3. Between 0 and 30

    4. Between 0 and 60

    5. Between 0 and 75

    Answer: d