# Unknown Number of Persons Based Linear Seating Arrangement for SBI PO 2019 and IBPS PO 2019 | New Pattern Reasoning Puzzles PDF at Smartkeeda

Directions: Read the following information carefully and answer the questions given beside.

Some persons were watching ‘Zero’ in a multiplex, where several rows has different number of seats. The rows were numbered such that the nearest row from the screen was numbered 1 and the row just above it was numbered 2 and so on. The seats were numbered from left to right such that the leftmost seat was numbered as 1, its adjacent seat as 2 and so on. All the persons were facing towards the screen which was in the north direction. The below mentioned information is regarding few persons only.

The film was house-full and none of the seats was vacant.

The total number of rows does not exceed 7 and the total number of seats was five times the total number of rows.

Mihir’s row number and seat number were same and it was an even prime number.

Ranu sits second to the left of Shreya.

The number of persons to the right of Hema who was at seat number 3 in the row number 5 was 1 more than the total number of rows.

Shreya is on the immediate right of Sanu who sits in row number 4.

Tina was seated at the left most seat in the last row, which was not prime numbered.

Total number of persons in the top 3 farthest rows (from screen) was equal to 18.

There were three seats between Saba and Tina.

Kavya was on the last seat of the first row.

The total number of persons in row 1 was thrice of the total number of persons in row 4.

Shagun was seated in an odd numbered row except row 1.
Important for :
1
How many seats were there in the multiplex?
» Explain it
C
The total number of seats in the multiplex was 30.

Hence option C is correct.

Final Arrangement:

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 Kavya NA 9 2 Mihir NA NA NA NA NA NA NA NA 2 3 Shagun NA NA NA NA NA NA NA NA NA 1 4 Ranu Sanu Shreya NA NA NA NA NA NA NA 3 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

Common Explanation:

Reference:

The total number of rows does not exceed 7 and the total number of seats was five times the total number of rows.

The number of persons to the right of Hema who was at seat number 3 in the row number 5 was 1 more than the total number of rows.

Tina was seated at the left most seat in the last row, which was not prime numbered.

There were three seats between Saba and Tina.

Inference:

With reference to the first three hints it is clear that the total number of rows was a composite more than 5 but less than 7.

So, the total number of rows will be 6 and total number of seats will be 30.

The number of persons to the right of Hema will be 7.

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 2 3 4 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

Reference:

Mihir’s row number and seat number were same and it was an even prime number.

Ranu sits second to the left of Shreya.

Shreya is on the immediate right of Sanu who sits in row number 4.

Total number of persons in the top 3 farthest rows (from screen) was equal to 18.

Inference:

The only even prime number from 1 to 6 is 2, So, Mihir’s row number and seat number will be 2.

The top 3 farthest rows are row numbers 4,5 and 6.

Sum of the seats in row number 5 and 6 is 15, thus there must be only 3 seats in row 4.

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 2 Mihir 3 4 Ranu Sanu Shreya NA NA NA NA NA NA NA 3 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

Reference:

Kavya was on the last seat of the first row.

The total number of persons in row 1 was thrice of the total number of persons in row 4.

Shagun was seated in an odd numbered row except row 1.

Inference:

As total number of persons in row 4 are 3, so as per the second hint total number of persons in row 1 would be 9 and Kavya sits at seat number 9.

The only odd numbered row from 1 to 3 except row 1 is row 3, thus Shagun sits in row 3.

Thus we get all the 30 seats.

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 Kavya NA 9 2 Mihir NA NA NA NA NA NA NA NA 2 3 Shagun NA NA NA NA NA NA NA NA NA 1 4 Ranu Sanu Shreya NA NA NA NA NA NA NA 3 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30
2
What is the difference between the seat numbers of Kavya and Sanu?
» Explain it
D
Seat number of Kavya is 9 and seat number of Sanu is 2.

Required difference = 7.

Hence option D is correct.

Final Arrangement:

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 Kavya NA 9 2 Mihir NA NA NA NA NA NA NA NA 2 3 Shagun NA NA NA NA NA NA NA NA NA 1 4 Ranu Sanu Shreya NA NA NA NA NA NA NA 3 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

Common Explanation:

Reference:

The total number of rows does not exceed 7 and the total number of seats was five times the total number of rows.

The number of persons to the right of Hema who was at seat number 3 in the row number 5 was 1 more than the total number of rows.

Tina was seated at the left most seat in the last row, which was not prime numbered.

There were three seats between Saba and Tina.

Inference:

With reference to the first three hints it is clear that the total number of rows was a composite more than 5 but less than 7.

So, the total number of rows will be 6 and total number of seats will be 30.

The number of persons to the right of Hema will be 7.

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 2 3 4 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

Reference:

Mihir’s row number and seat number were same and it was an even prime number.

Ranu sits second to the left of Shreya.

Shreya is on the immediate right of Sanu who sits in row number 4.

Total number of persons in the top 3 farthest rows (from screen) was equal to 18.

Inference:

The only even prime number from 1 to 6 is 2, So, Mihir’s row number and seat number will be 2.

The top 3 farthest rows are row numbers 4,5 and 6.

Sum of the seats in row number 5 and 6 is 15, thus there must be only 3 seats in row 4.

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 2 Mihir 3 4 Ranu Sanu Shreya NA NA NA NA NA NA NA 3 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

Reference:

Kavya was on the last seat of the first row.

The total number of persons in row 1 was thrice of the total number of persons in row 4.

Shagun was seated in an odd numbered row except row 1.

Inference:

As total number of persons in row 4 are 3, so as per the second hint total number of persons in row 1 would be 9 and Kavya sits at seat number 9.

The only odd numbered row from 1 to 3 except row 1 is row 3, thus Shagun sits in row 3.

Thus we get all the 30 seats.

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 Kavya NA 9 2 Mihir NA NA NA NA NA NA NA NA 2 3 Shagun NA NA NA NA NA NA NA NA NA 1 4 Ranu Sanu Shreya NA NA NA NA NA NA NA 3 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

3
Who among the following is immediately ahead of Ranu?
» Explain it
A
Shagun sits immediately ahead of Ranu.

Hence option A is correct.

Final Arrangement:

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 Kavya NA 9 2 Mihir NA NA NA NA NA NA NA NA 2 3 Shagun NA NA NA NA NA NA NA NA NA 1 4 Ranu Sanu Shreya NA NA NA NA NA NA NA 3 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

Common Explanation:

Reference:

The total number of rows does not exceed 7 and the total number of seats was five times the total number of rows.

The number of persons to the right of Hema who was at seat number 3 in the row number 5 was 1 more than the total number of rows.

Tina was seated at the left most seat in the last row, which was not prime numbered.

There were three seats between Saba and Tina.

Inference:

With reference to the first three hints it is clear that the total number of rows was a composite more than 5 but less than 7.

So, the total number of rows will be 6 and total number of seats will be 30.

The number of persons to the right of Hema will be 7.

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 2 3 4 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

Reference:

Mihir’s row number and seat number were same and it was an even prime number.

Ranu sits second to the left of Shreya.

Shreya is on the immediate right of Sanu who sits in row number 4.

Total number of persons in the top 3 farthest rows (from screen) was equal to 18.

Inference:

The only even prime number from 1 to 6 is 2, So, Mihir’s row number and seat number will be 2.

The top 3 farthest rows are row numbers 4,5 and 6.

Sum of the seats in row number 5 and 6 is 15, thus there must be only 3 seats in row 4.

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 2 Mihir 3 4 Ranu Sanu Shreya NA NA NA NA NA NA NA 3 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

Reference:

Kavya was on the last seat of the first row.

The total number of persons in row 1 was thrice of the total number of persons in row 4.

Shagun was seated in an odd numbered row except row 1.

Inference:

As total number of persons in row 4 are 3, so as per the second hint total number of persons in row 1 would be 9 and Kavya sits at seat number 9.

The only odd numbered row from 1 to 3 except row 1 is row 3, thus Shagun sits in row 3.

Thus we get all the 30 seats.

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 Kavya NA 9 2 Mihir NA NA NA NA NA NA NA NA 2 3 Shagun NA NA NA NA NA NA NA NA NA 1 4 Ranu Sanu Shreya NA NA NA NA NA NA NA 3 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

4
Four of the following five are alike in a certain way and thus form a group. Which of the following does not belong to the group?
» Explain it
E
Sanu is the one who sits on an even numbered seat among the given options. Thus the odd one out.

Hence option E is correct.

Final Arrangement:

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 Kavya NA 9 2 Mihir NA NA NA NA NA NA NA NA 2 3 Shagun NA NA NA NA NA NA NA NA NA 1 4 Ranu Sanu Shreya NA NA NA NA NA NA NA 3 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

Common Explanation:

Reference:

The total number of rows does not exceed 7 and the total number of seats was five times the total number of rows.

The number of persons to the right of Hema who was at seat number 3 in the row number 5 was 1 more than the total number of rows.

Tina was seated at the left most seat in the last row, which was not prime numbered.

There were three seats between Saba and Tina.

Inference:

With reference to the first three hints it is clear that the total number of rows was a composite more than 5 but less than 7.

So, the total number of rows will be 6 and total number of seats will be 30.

The number of persons to the right of Hema will be 7.

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 2 3 4 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

Reference:

Mihir’s row number and seat number were same and it was an even prime number.

Ranu sits second to the left of Shreya.

Shreya is on the immediate right of Sanu who sits in row number 4.

Total number of persons in the top 3 farthest rows (from screen) was equal to 18.

Inference:

The only even prime number from 1 to 6 is 2, So, Mihir’s row number and seat number will be 2.

The top 3 farthest rows are row numbers 4,5 and 6.

Sum of the seats in row number 5 and 6 is 15, thus there must be only 3 seats in row 4.

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 2 Mihir 3 4 Ranu Sanu Shreya NA NA NA NA NA NA NA 3 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

Reference:

Kavya was on the last seat of the first row.

The total number of persons in row 1 was thrice of the total number of persons in row 4.

Shagun was seated in an odd numbered row except row 1.

Inference:

As total number of persons in row 4 are 3, so as per the second hint total number of persons in row 1 would be 9 and Kavya sits at seat number 9.

The only odd numbered row from 1 to 3 except row 1 is row 3, thus Shagun sits in row 3.

Thus we get all the 30 seats.

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 Kavya NA 9 2 Mihir NA NA NA NA NA NA NA NA 2 3 Shagun NA NA NA NA NA NA NA NA NA 1 4 Ranu Sanu Shreya NA NA NA NA NA NA NA 3 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

5
What is the total number of persons in the top two nearest rows?
» Explain it
B
The total number of persons in the top two nearest rows (row number 1 and 2) is 11.

Hence option B is correct.

Final Arrangement:

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 Kavya NA 9 2 Mihir NA NA NA NA NA NA NA NA 2 3 Shagun NA NA NA NA NA NA NA NA NA 1 4 Ranu Sanu Shreya NA NA NA NA NA NA NA 3 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

Common Explanation:

Reference:

The total number of rows does not exceed 7 and the total number of seats was five times the total number of rows.

The number of persons to the right of Hema who was at seat number 3 in the row number 5 was 1 more than the total number of rows.

Tina was seated at the left most seat in the last row, which was not prime numbered.

There were three seats between Saba and Tina.

Inference:

With reference to the first three hints it is clear that the total number of rows was a composite more than 5 but less than 7.

So, the total number of rows will be 6 and total number of seats will be 30.

The number of persons to the right of Hema will be 7.

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 2 3 4 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

Reference:

Mihir’s row number and seat number were same and it was an even prime number.

Ranu sits second to the left of Shreya.

Shreya is on the immediate right of Sanu who sits in row number 4.

Total number of persons in the top 3 farthest rows (from screen) was equal to 18.

Inference:

The only even prime number from 1 to 6 is 2, So, Mihir’s row number and seat number will be 2.

The top 3 farthest rows are row numbers 4,5 and 6.

Sum of the seats in row number 5 and 6 is 15, thus there must be only 3 seats in row 4.

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 2 Mihir 3 4 Ranu Sanu Shreya NA NA NA NA NA NA NA 3 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

Reference:

Kavya was on the last seat of the first row.

The total number of persons in row 1 was thrice of the total number of persons in row 4.

Shagun was seated in an odd numbered row except row 1.

Inference:

As total number of persons in row 4 are 3, so as per the second hint total number of persons in row 1 would be 9 and Kavya sits at seat number 9.

The only odd numbered row from 1 to 3 except row 1 is row 3, thus Shagun sits in row 3.

Thus we get all the 30 seats.

 Seat number→ Row number↓ 1 2 3 4 5 6 7 8 9 10 Total number of seats 1 Kavya NA 9 2 Mihir NA NA NA NA NA NA NA NA 2 3 Shagun NA NA NA NA NA NA NA NA NA 1 4 Ranu Sanu Shreya NA NA NA NA NA NA NA 3 5 Hema 10 6 Tina Saba NA NA NA NA NA 5 Grand Total 30

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Seating Arrangement Puzzle Quiz No. 87

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