Direction[1-3]: Study the information given below and answer the questions based on it.
Eight friends have appeared in an examination. They have scored different marks. Alex has scored more marks than Dean. Roxy has scored more marks than Julie but less than Shaun. Jone has scored lesser marks only than Adam. Dean has scored more marks than only three friends. Jack has scored lesser marks than Jone but more marks than Alex. Shaun is not the least scorer. The third least scorer has scored 40 marks.
1. If Alex has scored 60 marks. How many marks Dean may have scored?
A. 35
B. 55
C. 65
D. 38
E. 62
2. The sum of marks of Shaun and Jones is 120. What is the possible marks of Adam?
A. 85
B. 75
C. 68
D. 78
E. 70
3. Find the incorrect statement
A. Roxy is not the least scorer
B. Marks of Alex are more than marks of Shaun
C. Jone is the highest scorer
D. Julie is the least scorer
E. The marks of Jack are the third highest
4. The positions of how many digits in the number 5321674 will remain unchanged after the digits are rearranged in ascending order within the number?
A. None
B. One
C. Two
D. Three
E. More than three
5. '1' is subtracted from each odd digit and '1' is added to each even digit in the number 4873529. Which of the following will be the difference between the second digit from the left and the third digit from the right of the new number thus formed?
Answers and Explanations
1. Answer - Option B
Explanation -
Since Dean’s marks are in between Alex-60 and Shaun-40, the possible marks for Dean are 55.
The sequence as per rank is given below.
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
Adam |
Jone |
Jack |
Alex |
Dean |
Shaun |
Roxy |
Julie |
2. Answer - Option A
Explanation -
Since Shaun is the third least scorer his marks are 40.
Let marks of Jones are X.
Then X + 40 = 120, X = 120 – 40 = 80.
The marks of Adam are more than Jone.
Therefore the possible marks of Adam cannot be less than 80.
The sequence as per rank is given below.
3. Answer - Option C
Explanation -
Jone is not highest scorerinstead Adam is highest scorer.
The sequence as per rank is given below.
4. Answer - Option A
Explanation -
5 |
3 |
2 |
1 |
6 |
7 |
4 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
Thus the position of all the digits will changed
5. Answer - Option C
Explanation -
4 |
8 |
7 |
3 |
5 |
2 |
9 |
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|
5 |
9 |
6 |
2 |
4 |
3 |
8 |
9 – 4 = 5
So the answer is 5.
Hence, Option C is correct.