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Question

Directions: Study the following information carefully and answer the questions given below:

Seven students J, K, L, M, N, O and P takes admission in a SCHOOL in seven different days viz., Monday to Sunday of a week but not necessarily in the same order. Two students take admission between K and N. K takes admission before N. O takes admission in one of the day after M. J takes admission on Wednesday. Only one student takes admission between J and M. L takes admission before M and after K. P does not take admission on Sunday.

Which of the following combination is correct

This question was previously asked in
RBI Assistant Prelims Memory Based Paper (27 March 2022) (Shift 2)
The correct answer is

K – Monday

This problem requires us to determine the correct combination of a student and their admission day based on a set of logical conditions. We need to arrange seven students (J, K, L, M, N, O, P) into seven days of the week (Monday to Sunday).

Step-by-Step Deduction of the Schedule

Let's break down the information and build the schedule step-by-step:

  • Given: Seven students (J, K, L, M, N, O, P) and seven days (Monday to Sunday).
  • Clue 1: J takes admission on Wednesday.
    • We can fix J's position: Wed: J
  • Clue 2: Only one student takes admission between J and M.
    • Since J is on Wednesday, M can be on Monday (with Tuesday in between) or Friday (with Thursday in between).
    • If M is Monday: Mon(M), Tue(?), Wed(J). This is possible.
    • If M is Friday: Wed(J), Thu(?), Fri(M). This is also possible.
  • Clue 3: L takes admission before M and after K.
    • This establishes a sequence: K ... L ... M.
    • If M were Monday (from Clue 2), L would have to be admitted *before* Monday, which is impossible.
    • Therefore, M cannot be Monday. M must be on Friday.
    • So, the sequence is J (Wed), Thu (?), M (Fri).
    • Now, K ... L ... M (Fri). L must be before Friday, and K must be before L. L can be Tuesday or Thursday. K must be before L.
  • Clue 4: Two students take admission between K and N. K takes admission before N.
    • This means there are exactly two days between K's admission day and N's admission day, with K coming first. If K is on day $d_K$, N is on day $d_N$, then $d_N = d_K + 3$.
  • Combining Clues for K, L, M:
    • We know: Wed(J), Thu(?), Fri(M).
    • Sequence: K ... L ... M(Fri).
    • Possible slots for L: Monday, Tuesday, Thursday.
    • Possible slots for K: Monday, Tuesday.
    • If L is on Thursday: K must be Monday or Tuesday.
      • If K is Monday: Mon(K), Tue(?), Wed(J), Thu(L), Fri(M).
      • Check Clue 4: Two between K (Mon) and N ($N = Mon + 3 = Thu$). But L is on Thursday. This combination is impossible.
    • If L is on Tuesday: K must be on Monday.
      • Arrangement: Mon(K), Tue(L), Wed(J), Thu(?), Fri(M).
      • Check Clue 4: Two between K (Mon) and N ($N = Mon + 3 = Thu$). This fits perfectly.
      • Updated schedule: Mon(K), Tue(L), Wed(J), Thu(N), Fri(M).
  • Remaining Students and Days:
    • Students left: O, P.
    • Days left: Saturday, Sunday.
    • Current Schedule: Mon(K), Tue(L), Wed(J), Thu(N), Fri(M).
  • Clue 5: O takes admission on one of the days after M.
    • M is on Friday. O can be on Saturday or Sunday.
  • Clue 6: P does not take admission on Sunday.
    • If O takes Saturday, P must take Sunday. But P cannot take Sunday.
    • Therefore, O must take Sunday, and P must take Saturday.

Final Schedule

Based on the deductions, the complete schedule is:

Monday K
Tuesday L
Wednesday J
Thursday N
Friday M
Saturday P
Sunday O

Evaluating the Options

Now let's check the given options against our derived schedule:

  1. K – Monday: This matches our schedule. Correct.
  2. L – Sunday: Our schedule shows L admitted on Tuesday. Incorrect.
  3. M – Saturday: Our schedule shows M admitted on Friday. Incorrect.
  4. N – Friday: Our schedule shows N admitted on Thursday. Incorrect.
  5. O – Tuesday: Our schedule shows O admitted on Sunday. Incorrect.

The only correct combination is K – Monday.

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  6. How many persons take admission between K and O?

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Important Questions from Puzzle

  1. If ‘<’ stands for ‘−’, ‘>’ stands for ‘+’, ‘=’ stands for ‘×’ and ‘$’ stands for ‘÷’, what will come in place of the question mark (?) in the following equation? 

    31 > 81 $ 9 < 7 = ?

  2. If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation? 

    35 B 4 C 6 D 84 A 14 = ?

  3. This question is based on the five, three-digit numbers given below.

    (Left) 468 429 517 371 386 (Right)

    Example: 697 – First digit = 6, second digit = 9 and third digit = 7. (Note: All operations to be done from left to right.)

    What will be the resultant if the second digit of the highest number is multiplied with the second digit of the lowest number?

  4. This question is based on the five, three-digit numbers given below.

    (Left) 897 687 819 623 832 (Right)

    Example: 697 – First digit = 6, second digit = 9 and third digit = 7. (Note: All operations to be done from left to right.)

    What will be the resultant if the second digit of the highest number is added to the third digit of the lowest number?

  5. This question is based on the five, three-digit numbers given below.

    (Left) 138 436 253 173 752 (Right)

    (Example- 697 – First digit = 6, second digit = 9 and third digit = 7) (NOTE: All operations to be done from left to right.)

    What will be the resultant if the third digit of the lowest number is added to the second digit of the highest number?

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