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Doctors Medicines MCQs Q&A

  1. Statement I alone is sufficient.
  2. Statement III alone is sufficient.
  3. Any one of them alone is sufficient.
  4. All I, II and III together are sufficient.
  5. Any two of them together are sufficient.
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1 Answers

Option 3 : Any one of them alone is sufficient.

Time taken by X and Y together to make 25% of total bricks = 4.8 days

Time taken by X and Y together to make 25% of total bricks = 4.8 × 4 = 19.2days

(1/X) + (1/Y) = (1/19.2)      ----(1)

Total number of bricks made by Z in a day = 50

From I:

Total number of bricks = (72cm × 80cm × 50cm) / (3cm × 4cm × 5cm) = 4800

Total time taken by Z = 4800/50 = 96 days

Let number of days taken by X and Y alone is 3a and 2a respectively.

From equation (1)-

(1/3a) + (1/2a) = (1/19.2)

(2 + 3)/6a = (1/19.2)

a = 16

Time taken when X and Z work together =

1/ = 1/ = 32 days

Statement I alone is sufficient.

From II:

Total time taken by Z = 4800/50 = 96 days

Total time taken by Y = 4800/150 = 32 days

From equation (1)

(1/X) + (1/32) = (1/19.2)

(1/X) = (4/192)

X = 48 days

Time taken when X and Z work together =

1/ = 32 days

Statement II alone is sufficient.

From III:

Total number of bricks = (1.008 × 1003)/(5cm × 6cm × 7cm) = 4800

Total time taken by Z = 4800/50 = 96 days

Total time taken by Y = 96 × (100/300) = 32 days

From equation (1)

(1/X) + (1/32) = (1/19.2)

(1/X) = (4/192)

X = 48 days

Times taken when X and Z work together =

1/ = 32 days

Statement III alone is sufficient.

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