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Directions : Given data is regarding three automatic toys on two types of movements: Neck movements (NM) and Hand rotation (HR). It starts recording from 9 AM onwards on 12 June. Each toy has different battery percentage and battery capacity.
Toy A: Battery Capacity = 1500 units, Battery Percent = 80%
At every 4th NM and 3rd HR together, 1 unit of battery is consumed. Toy A gets completely discharged at 11 AM.
Toy B: Battery Capacity = 2000 units, Battery percent = 75%
NM = 30/min, HR/min = 50% of NM/min of toy A. At every 3rd NM and 2nd HR together, 1 unit of battery is consumed. Toy C: Battery Capacity = 120% of battery capacity of toy B, Battery Percent = 60%
B, Battery Percent = 60% NM/min = NM/min of toy A + 5, HR = 30/min. at every 3rd NM and 2nd HR together. 1 unit of battery is consumed.
Total number of NM/min of all the three toys together is what percent more than total number of HR/min of all the three toys together?
63.5%
52.25%
46.5%
48.25%
43.75%
Let’s break this down step by step.
Toy A:
- Battery Capacity: 1500 units, 80% = 0.8 × 1500 = 1200 units start charge
- Battery lasts from 9 AM to 11 AM = 2 hours = 120 minutes
- So, battery consumed in 2 hrs: 1200 units
Toy A’s movement rates:
We don’t know NM/min or HR/min for Toy A yet. Let’s call NM/min of A = x, HR/min of A = y.
Consumption rule: Every 4th NM + 3rd HR together ? 1 unit consumed.
But Toy A fully discharges 1200 units in 120 minutes. So:
Total units consumed = 1200
So every "consumption set" = (4 NM + 3 HR) = 1 unit, and total number of sets = 1200
So, in 120 minutes, Toy A did:
NM: 1200 × 4 = 4800
HR: 1200 × 3 = 3600
So per minute:
NM/min = 4800 / 120 = 40
HR/min = 3600 / 120 = 30
Toy B:
Battery Capacity = 2000 units, 75% = 0.75 × 2000 = 1500 units
NM/min for B = 30
HR/min for B = 50% of Toy A’s NM/min = 50% × 40 = 20
Toy C:
Battery Capacity = 120% of Toy B = 1.2 × 2000 = 2400 units, 60% = 0.6 × 2400 = 1440 units
NM/min for C = Toy A NM/min + 5 = 40 + 5 = 45
HR/min = 30
To answer the percent difference:
Sum all NM/min:
Toy A: 40
Toy B: 30
Toy C: 45
Total NM/min = 40 + 30 + 45 = 115
Sum all HR/min:
Toy A: 30
Toy B: 20
Toy C: 30
Total HR/min = 30 + 20 + 30 = 80
Percent more = ((NM/hr - HR/hr)/HR/hr) × 100 = ((115-80)/80) × 100 = (35/80) × 100 = 43.75%
Now for your requested format:
- Toy A’s NM/min is 40, HR/min is 30.
- Toy B’s NM/min is 30, HR/min is 20.
- Toy C’s NM/min is 45, HR/min is 30.
- Together, NM/min = 115, HR/min = 80.
- So, NM/min is 43.75% more than HR/min.
Option 5 – 43.75% is correct.
By: Parvesh Mehta ProfileResourcesReport error
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