22) What is the possible exam score

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22) What is the possible exam score

by ern5231 » Sat May 01, 2010 6:56 am
In an examination, there are 100 questions. For correct answer, 5 marks are awarded but for each wrong answer 2 marks are deducted. Which of the following marks could be obtained?
a) 192  b) 193  c) 194  d) 195  e) 196

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by beat_gmat_09 » Sat May 01, 2010 7:56 am
ern5231 wrote:In an examination, there are 100 questions. For correct answer, 5 marks are awarded but for each wrong answer 2 marks are deducted. Which of the following marks could be obtained?
a) 192  b) 193  c) 194  d) 195  e) 196
x=no of correct
y=no of incorrect

x+y=100
5x-2y= plug option answers

only A satisfies.

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by akhpad » Sat May 01, 2010 7:59 am
ern5231 wrote:In an examination, there are 100 questions. For correct answer, 5 marks are awarded but for each wrong answer 2 marks are deducted. Which of the following marks could be obtained?
a) 192  b) 193  c) 194  d) 195  e) 196
X + Y = 100
5X - 2Y = A Assume one of the five choices
Eliminate Y
7X = A + 200

Test for A = 192
7X = 192 + 200 = 392 = 7 * 56

Hence A

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by pradeepkaushal9518 » Sat May 01, 2010 10:34 am
i just checked 57*5-43*2=199
then 56*5-2*44=192

so answer is A