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GATE 2019 EC – Question 9

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

Two design consultants, P and Q, started working from 8 AM for a client. The client budgeted a total of USD 3000 for the consultants. P stopped working when the hour hand moved by 210 degrees on the clock. Q stopped working when the hour hand moved by 240 degrees. P took two tea breaks of 15 minutes each during her shift, but took no lunch break. Q took only one lunch break for 20 minutes, but no tea breaks. The market rate for consultants is USD 200 per hour and breaks are not paid. After paying the consultants, the client shall have USD ________ remaining in the budget.

  1. 000.00
  2. 166.67
  3. 300.00
  4. 433.33

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Correct answer: (B) 166.67

Explanation

The hour hand moves $30^\circ$ per hour, so P worked $7$ hours minus $30$ minutes of breaks $=6.5$ hours (USD 1300), and Q worked $8$ hours minus $20$ minutes $=7\frac23$ hours (USD 1533.33). The total is USD 2833.33, leaving $3000-2833.33=166.67$.