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There are six students, P, Q, R, S, T and U who have a different number of pens - 2, 4, 5, 7, 9 and 12 (not necessarily in the same order). The number of pens Q has is a prime number. U has 2 more pens than Q. The number of pens R has is a multiple of 4 but not a multiple of 3. P has fewer pens than Q but has more pens than S. Who has the highest number of pens?
  • a)
    P
  • b)
    Q
  • c)
    S
  • d)
    T
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
There are six students, P, Q, R, S, T and U who have a different numbe...
Students: P, Q, R, S, T and U.
No. of pens: 2, 4, 5, 7, 9 and 12 (not necessarily in the same order).
1) The number of pens Q has is a prime number.

2) U has 2 more pens than Q.

 
3) The number of pens R has is a multiple of 4 but not a multiple of 3.
(So, R has 4 pens only.)

 
4) P has fewer pens than Q but has more pens than S.
(P cannot have 2 pens as S has fewer pens than P.
So, P has 5 pens and S has 2 pens.)

 
(So, T has 12 pens.)
Final arrangement:

Hence, T has the highest number of pens.
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Most Upvoted Answer
There are six students, P, Q, R, S, T and U who have a different numbe...
Analysis:

Given Information:
- Q has a prime number of pens.
- U has 2 more pens than Q.
- R has a multiple of 4 but not a multiple of 3.
- P has fewer pens than Q but more pens than S.

Solution:
- Let's analyze the information given:
1. Since Q has a prime number of pens, the possible values for Q are 2 or 5.
2. As U has 2 more pens than Q, U can have either 4 pens (if Q has 2 pens) or 7 pens (if Q has 5 pens).
3. The number of pens R has is a multiple of 4 but not a multiple of 3. Based on this, R can have 4 pens, 8 pens, or 12 pens.
4. Since P has fewer pens than Q but more pens than S, the possible values for P are 2 or 4, and for S are 2 or 5.
- Now, let's determine the number of pens each student has based on the given conditions:
1. Q has a prime number of pens, so Q = 5.
2. U has 2 more pens than Q, so U = 7.
3. R has a multiple of 4 but not a multiple of 3, so R = 4.
4. P has fewer pens than Q but more pens than S, so P = 4 and S = 2.
5. The remaining number of pens goes to T, so T = 9.
- Therefore, the student with the highest number of pens is T with 9 pens.
Hence, the correct answer is option D) T.
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Community Answer
There are six students, P, Q, R, S, T and U who have a different numbe...
Analysis:

Given Information:
- Q has a prime number of pens.
- U has 2 more pens than Q.
- The number of pens R has is a multiple of 4 but not a multiple of 3.
- P has fewer pens than Q but has more pens than S.

Solution:

Step 1: Determining the number of pens each student has based on the given information:
- Since Q has a prime number of pens, the options are 2, 5, or 7.
- U has 2 more pens than Q, so U can have 7, 9, or 12 pens.
- The number of pens R has is a multiple of 4 but not a multiple of 3, so R can have 4 or 12 pens.
- P has fewer pens than Q but more pens than S, so P can have 2, 5, or 7 pens.

Step 2: Analyzing the options:
- P can have 2, 5, or 7 pens.
- Q can have 5 or 7 pens.
- R can have 4 or 12 pens.
- S can have 2 or 4 pens.
- T has 9 pens.
- U can have 7, 9, or 12 pens.

Step 3: Comparing the number of pens each student has:
- P can have a maximum of 7 pens.
- Q can have a maximum of 7 pens.
- R can have a maximum of 12 pens.
- S can have a maximum of 4 pens.
- T has 9 pens.
- U has the highest number of pens, which is 12.
Therefore, based on the given information and analysis, student U has the highest number of pens, which is 12.
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There are six students, P, Q, R, S, T and U who have a different number of pens - 2, 4, 5, 7, 9 and 12 (not necessarily in the same order). The number of pens Q has isa prime number. U has 2 more pens than Q. The number of pens R has is a multiple of 4 but not a multiple of 3. P has fewer pens than Q but has more pens than S. Who has the highest number of pens?a)Pb)Qc)Sd)TCorrect answer is option 'D'. Can you explain this answer?
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There are six students, P, Q, R, S, T and U who have a different number of pens - 2, 4, 5, 7, 9 and 12 (not necessarily in the same order). The number of pens Q has isa prime number. U has 2 more pens than Q. The number of pens R has is a multiple of 4 but not a multiple of 3. P has fewer pens than Q but has more pens than S. Who has the highest number of pens?a)Pb)Qc)Sd)TCorrect answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about There are six students, P, Q, R, S, T and U who have a different number of pens - 2, 4, 5, 7, 9 and 12 (not necessarily in the same order). The number of pens Q has isa prime number. U has 2 more pens than Q. The number of pens R has is a multiple of 4 but not a multiple of 3. P has fewer pens than Q but has more pens than S. Who has the highest number of pens?a)Pb)Qc)Sd)TCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are six students, P, Q, R, S, T and U who have a different number of pens - 2, 4, 5, 7, 9 and 12 (not necessarily in the same order). The number of pens Q has isa prime number. U has 2 more pens than Q. The number of pens R has is a multiple of 4 but not a multiple of 3. P has fewer pens than Q but has more pens than S. Who has the highest number of pens?a)Pb)Qc)Sd)TCorrect answer is option 'D'. Can you explain this answer?.
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