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Doctors Medicines MCQs Q&A

  1. If the data given in the statement I alone is sufficient to answer the question whereas the data given in statement II alone are not sufficient to answer the question.
  2. If the data given in the statement II alone is sufficient to answer the question whereas the data given in statement I alone are not sufficient to answer the question.
  3. If the data given in either statement I or in statement II alone is sufficient to answer the question.
  4. If the data given in both statement I and II is not sufficient to answer the question. 
  5. If the data given in both statement I and II is necessary to answer the question.
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1 Answers

Option 3 : If the data given in either statement I or in statement II alone is sufficient to answer the question.

Total = 484

To find: Average =?

Statement I

Now, 484/N - (484 + 61)/ (N + 1) = 12

⇒ 484(N + 1) – 545N = 12N(N + 1)

⇒ 484N + 484 – 545N = 12N2 + 12N

⇒ 12N2 + 73N – 484 = 0

Solving, we get N = 4 or – 10.0833

But N can’t be negative or a fraction

∴ N = 4

Average = 484/4 = 121

Thus, statement I provides sufficient data.

Statement II

Now, (484 + 141)/(N + 1) - 484/N = 4

⇒ 625N – 484(N + 1) = 4N(N + 1)

⇒ 625N – 484N – 484 = 4N2 + 4N

⇒ 4N2 – 137N + 484 = 0

Solving, we get N = 4 or 10.0833

But N can’t be a fraction

∴ N = 4

Average = 484/4 = 121

Thus, statement II also provides sufficient data.
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Related Questions

The question below is followed by three statements I, II, and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. A car travels from city P to city Q in T hours with a speed of v km per hour. Distance between cities P and Q is D kilometers. If it increases its speed by 5 kmph it saves some time. Find the actual speed of the car. Statement I: If the car travels from P to Q with its actual speed of v kmph and come back with the speed of v + 5 kmph in 2T – 0.6 hrs Statement II: A bus start form Q at the same time when the car starts from P and the speed of the bus is 50% more than the speed of the car and the bus meets car after covering 60% of the distance Statement III: Distance between PQ is given by D2 – 25D + 200 = 0  ?
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