Mike took 5 mock tests before appearing for the GMAT. In each mock test he scored 10 points more than the previous mock test. If he scored 760 on the GMAT and his average score for the mocks was 720, what is the difference between his last mock score and his GMAT score?a)10b)20c)30d)40e)50Correct answer is option 'B'. Can you explain this answer?

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Mike took 5 mock tests before appearing for the GMAT. In each mock test he scored 10 points more than the previous mock test. If he scored 760 on the GMAT and his average score for the mocks was 720, what is the difference between his last mock score and his GMAT score?

a)
10
b)
20
c)
30
d)
40
e)
50

Correct answer is option 'B'. Can you explain this answer?

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Mike took 5 mock tests before appearing for the GMAT. In each mock tes...

Given

Mike took 5 mock tests

Let his score in the 1^st mock be x.

So, his scores in the other mocks = x+ 10, x+20, x+30, x + 40
Mike’s score on GMAT = 760
Average score of mocks = 720

To Find:

760 – (x +40)

Working Out

Average score of mocks = (x + x + 10 + … x + 40) /5 = (5x + 100)/5 = x + 20
(The other way to think about this is, as Mike’s scores in the mocks are in arithmetic sequence, average will be the middle term)

Mike’s average score in the mocks = x + 20 = 720
x = 700

Therefore

x + 40 = 740

760 – (x+40) = 760 – 740 = 20

Correct Answer: Option B

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Most Upvoted Answer

Mike took 5 mock tests before appearing for the GMAT. In each mock tes...

Explanation:

Given Information:
- Mike took 5 mock tests before appearing for the GMAT.
- In each mock test, he scored 10 points more than the previous mock test.
- Mike scored 760 on the GMAT.
- His average score for the mocks was 720.

Calculating Mike's average mock test score:
Let the scores of the 5 mock tests be x, x+10, x+20, x+30, and x+40.
Average score = (x + (x+10) + (x+20) + (x+30) + (x+40))/5 = 720
Solving this equation, we get x = 700.

Calculating Mike's last mock test score:
The last mock test score = x + 40 = 700 + 40 = 740.

Calculating the difference between Mike's last mock score and his GMAT score:
Difference = GMAT score - Last mock score
Difference = 760 - 740 = 20

Therefore, the difference between Mike's last mock score and his GMAT score is 20 points. Hence, the correct answer is option B.

Answered by Talent Skill Learning · View profile

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