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GATE Electronics and Communications (EC) 2019 Solved Paper
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© examsnet.com
Question : 9 of 65
Marks:
+1
,
-0
Two design consultants,
P
P
P
and
Q
Q
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 2000 per hour and breaks are not paid. After paying the consultants, the client shall have USD____________ remaining in the budget.
000.00
000.00
000.00
166.67
166.67
166.67
300.00
300.00
300.00
433.33
433.33
433.33
Validate
Solution:
P
Q
Start time
8 AM
8 AM
Working
  
210
360
×
12
=
7
 hrs
\;\frac{210}{360} \times 12 = 7 \text{ hrs}
360
210
​
×
12
=
7
 hrs
  
210
360
×
12
=
8
 hrs
\;\frac{210}{360} \times 12 = 8 \text{ hrs}
360
210
​
×
12
=
8
 hrs
Breaks
15 minutes each
(1 break)
20 minute break
(2 breaks)
∴
\therefore
∴
paid working hours
=
7
 hrs
+
8
 hrs
−
30
=7 \text{ hrs} + 8 \text{ hrs} - 30
=
7
 hrs
+
8
 hrs
−
30
minutes
−
20
-20
−
20
minutes
Paid
=
14
×
200
+
  
10
60
×
200
=14 \times 200 + \;\frac{10}{60} \times 200
=
14
×
200
+
60
10
​
×
200
∴
\therefore
∴
Paid
=
2833.33
=2833.33
=
2833.33
∴
\therefore
∴
Budget left
=
3000
−
2833.33
=
166.67
=3000-2833.33=166.67
=
3000
−
2833.33
=
166.67
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