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.

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?

  1. A.

    63.5%

  2. B.

    52.25%

  3. C.

    46.5%

  4. D.

    48.25%

  5. E.

    43.75%

Show answer & explanation

Correct answer: E

Concept

When a battery rule says "at every 4th NM and 3rd HR together, 1 unit is consumed", it means each repeating bundle of 4 neck movements + 3 hand rotations costs exactly 1 unit. So if the toy forms B such bundles per minute, then in one minute it does NM = 4B, HR = 3B and consumes B units. The total units used over the working time equals (units consumed per minute) x (minutes), and "X is what percent more than Y" = ((X - Y) / Y) x 100.

Application

  1. Toy A usable charge = 80% of 1500 = 1200 units. It runs 9 AM to 11 AM = 120 minutes.

  2. Units used per minute = 1200 / 120 = 10. With the 4-NM-and-3-HR bundle rule, 10 bundles per minute means NM(A) = 4 x 10 = 40/min and HR(A) = 3 x 10 = 30/min.

  3. Toy B: NM(B) = 30/min (given); HR(B) = 50% of NM(A) = 0.5 x 40 = 20/min.

  4. Toy C: NM(C) = NM(A) + 5 = 40 + 5 = 45/min; HR(C) = 30/min (given).

  5. Total NM/min = 40 + 30 + 45 = 115. Total HR/min = 30 + 20 + 30 = 80.

  6. Percent more = ((115 - 80) / 80) x 100 = (35 / 80) x 100 = 43.75%.

Per-toy summary

Toy

NM/min

HR/min

A

40

30

B

30

20

C

45

30

Total

115

80

Cross-check

Verify Toy A back: 40 NM/min over 120 min = 4800 NM = 1200 bundles of 4; 30 HR/min over 120 min = 3600 HR = 1200 bundles of 3. Both give 1200 bundles = 1200 units = exactly the 80% charge. The bundle rule is consistent, so NM(A)=40, HR(A)=30 are confirmed, and the final ratio 115 : 80 gives 43.75%.

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