Directions : Given data is regarding three automatic toys on two types of…
2019
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% 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.
What is the difference between total NM and HR of toy C when the battery of toy C gets completely discharged? (consider available battery percent)
- A.
1620
- B.
1440
- C.
1920
- D.
1200
- E.
1280
Show answer & explanation
Correct answer: B
Concept
For a battery that drains by consuming 1 unit per fixed bundle of movements, the totals of each movement type are determined entirely by the number of usable units (cycles), not by the speed of the movements. If each consumed unit corresponds to a NM and b HR, then over U usable units the total NM = aU, total HR = bU, and the difference NM − HR = (a − b)·U. The per-minute rates only affect when discharge happens, never the final counts.
Application to Toy C
Battery capacity of Toy C = 120% of Toy B's capacity = 1.20 × 2000 = 2400 units.
Available charge = 60% of 2400 = 0.60 × 2400 = 1440 usable units (U = 1440).
Consumption rule for Toy C: 1 unit per (3 NM + 2 HR), so a = 3 and b = 2.
Total NM = a·U = 3 × 1440 = 4320; Total HR = b·U = 2 × 1440 = 2880.
Difference = NM − HR = 4320 − 2880 = 1440.
Cross-check
Using the shortcut, difference = (a − b)·U = (3 − 2) × 1440 = 1440, matching the step-by-step total. The Toy A and Toy B movement rates are not required for this part because the question fixes Toy C entirely through its own capacity, charge, and consumption rule.