Logical Reasoning & DI (LRDI) Test

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Logical Reasoning & DI (LRDI) Test - 31

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Question 1
3 / -1

Directions For Questions

Read the passage carefully and answer the questions that follow

Seven friends, namely Aryan, Babli, Chetan, Divij, Esha, Farhan and Gursimer cleared their entrance exam in 2023. The result was announced on a Sunday and from the next day; they started organising evening sessions on consecutive days to discuss regarding the next round. Each one of them organised exactly one session. On none of the days was more than one session organised. They also decided that they will order four kinds of items viz. Samosa, Kachori, Rasgulla and Imarti for the evening sessions. The costs per plate of Samosa, Kachori, Rasgulla and Imarti were Rs.25, Rs.45, Rs.20 and Rs.15 respectively.

The following additional information was available:

I. In each of the evening session, total number of plates ordered, taking all four items together was either 8 or 9

II. Each evening session had different combination of number of plates of different items and each type of item was ordered for at least one plate but not more than three plates

III. Babli hosted the session immediately after Farhan but neither on Sunday nor on Tuesday

IV. Aryan, Chetan, Divij and Gursimer had ordered for more number of plates than the other three and hosted their sessions immediately one after the other in that order only.

V. The total number of plates of Samosa, Kachori, Rasgulla and Imarti ordered were 14, 16, 18 and 12 respectively including all evening sessions.

VI. In each evening session, at least three items were ordered for 2 or more plates

...view full instructions

On which of the following day Esha may have hosted the session?

A
Monday

B
Tuesday

C
Wednesday

D
Friday

Solution

Aryan, Chetan, Divij and Gursimer hosted in that order, while Babli (neither Tuesday nor Sunday) hosted the session immediately after Farhan. Considering that, there are two cases possible as shown below. Also, total number of plates ordered each day is either 8 or 9 and Aryan, Chetan, Divij and Gursimer ordered more number of plates that other three Thus, Aryan, Chetan, Divij and Gursimer ordered 9 plates each and Babli, Esha and Farhan ordered 8 plates each The rest of the information can be gathered as follows-

Esha hosted the session on either Sunday or Monday, among options Monday is possible
Question 2
3 / -1

Directions For Questions

Read the passage carefully and answer the questions that follow

Seven friends, namely Aryan, Babli, Chetan, Divij, Esha, Farhan and Gursimer cleared their entrance exam in 2023. The result was announced on a Sunday and from the next day; they started organising evening sessions on consecutive days to discuss regarding the next round. Each one of them organised exactly one session. On none of the days was more than one session organised. They also decided that they will order four kinds of items viz. Samosa, Kachori, Rasgulla and Imarti for the evening sessions. The costs per plate of Samosa, Kachori, Rasgulla and Imarti were Rs.25, Rs.45, Rs.20 and Rs.15 respectively.

The following additional information was available:

I. In each of the evening session, total number of plates ordered, taking all four items together was either 8 or 9

II. Each evening session had different combination of number of plates of different items and each type of item was ordered for at least one plate but not more than three plates

III. Babli hosted the session immediately after Farhan but neither on Sunday nor on Tuesday

IV. Aryan, Chetan, Divij and Gursimer had ordered for more number of plates than the other three and hosted their sessions immediately one after the other in that order only.

V. The total number of plates of Samosa, Kachori, Rasgulla and Imarti ordered were 14, 16, 18 and 12 respectively including all evening sessions.

VI. In each evening session, at least three items were ordered for 2 or more plates

...view full instructions

If Babli ordered for equal number of plates of each item, then what can be the possible difference between the amount paid by Babli and the minimum possible amount paid by any other friend?

A
Rs.10

B
Rs.15

C
Rs.20

D
Rs.30

Solution

Aryan, Chetan, Divij and Gursimer hosted in that order, while Babli (neither Tuesday nor Sunday) hosted the session immediately after Farhan. Considering that, there are two cases possible as shown below. Also, total number of plates ordered each day is either 8 or 9 and Aryan, Chetan, Divij and Gursimer ordered more number of plates that other three Thus, Aryan, Chetan, Divij and Gursimer ordered 9 plates each and Babli, Esha and Farhan ordered 8 plates each The rest of the information can be gathered as follows-

Babli can ordered equal number of plates of each item is possible in Case I such that each item is 2 making total = 8 items

Amount spent by Babli = 2 × (25 + 45 + 20 + 15)= Rs.210

Minimum possible amount spent by any other friend = 2 × 25 + 1 × 45 + 2 × 20 + 3 × 15 = Rs.180

Required difference = 210 – 180 = Rs.30
Question 3
3 / -1

Directions For Questions

Read the passage carefully and answer the questions that follow

Seven friends, namely Aryan, Babli, Chetan, Divij, Esha, Farhan and Gursimer cleared their entrance exam in 2023. The result was announced on a Sunday and from the next day; they started organising evening sessions on consecutive days to discuss regarding the next round. Each one of them organised exactly one session. On none of the days was more than one session organised. They also decided that they will order four kinds of items viz. Samosa, Kachori, Rasgulla and Imarti for the evening sessions. The costs per plate of Samosa, Kachori, Rasgulla and Imarti were Rs.25, Rs.45, Rs.20 and Rs.15 respectively.

The following additional information was available:

I. In each of the evening session, total number of plates ordered, taking all four items together was either 8 or 9

II. Each evening session had different combination of number of plates of different items and each type of item was ordered for at least one plate but not more than three plates

III. Babli hosted the session immediately after Farhan but neither on Sunday nor on Tuesday

IV. Aryan, Chetan, Divij and Gursimer had ordered for more number of plates than the other three and hosted their sessions immediately one after the other in that order only.

V. The total number of plates of Samosa, Kachori, Rasgulla and Imarti ordered were 14, 16, 18 and 12 respectively including all evening sessions.

VI. In each evening session, at least three items were ordered for 2 or more plates

...view full instructions

If Babli ordered for equal number of plates of each item, then what can be the possible difference between the amount paid by Babli and the maximum possible amount paid by any other friend?

A
Rs.10

B
Rs.15

C
Rs.20

D
Rs.30

Solution

Aryan, Chetan, Divij and Gursimer hosted in that order, while Babli (neither Tuesday nor Sunday) hosted the session immediately after Farhan. Considering that, there are two cases possible as shown below. Also, total number of plates ordered each day is either 8 or 9 and Aryan, Chetan, Divij and Gursimer ordered more number of plates that other three Thus, Aryan, Chetan, Divij and Gursimer ordered 9 plates each and Babli, Esha and Farhan ordered 8 plates each The rest of the information can be gathered as follows-

Babli can ordered equal number of plates of each item is possible in Case I such that each item is 2 making total = 8 items

Amount spent by Babli = 2 × (25 + 45 + 20 + 15) = Rs.210 Maximum possible amount spent by any other friend = 2 × 25 + 3 × 45 + 2 × 20 + 1 × 15 = Rs.240 Required difference

= 240 – 210 = Rs.30.
Question 4
3 / -1

Directions For Questions

Read the passage carefully and answer the questions that follow

Mankind is the world’s largest FMCG brand. In their top management, they have seven people named A, B, C, D, E, F, and G. The top management consists of three departments – MNS, Fin and Ops. All the seven top management employees works for one and only one of the department. Further, all of them have different packages from 9 mn to 18 mn (Both inclusive). The company has provided them with luxurious flats in the locality. Their houses are in one row not necessary in the given order facing north.

Further, the following information is known about them

I. There are as many persons between C and A as between F and D. F and D both earn less than the average.

II. Both the highest and the lowest packages are for MNS employees

III. No one earns the same amount as the average (all 7 employees) of their packages. There is more number of persons earning lesser than the average. No one earns 15 mn package.

IV. All the packages are in integers and their average is also an integer

V. No two employees of the same department lives next to each other. MNS has the highest number of employees which is a unique number.

VI. E lives at the extreme right, works in the Fin department and earns less than the average.

VII. The employee who lives at the extreme left works for the MNS department and earns the least.

VIII. Neither C, who earns the second – highest package, nor F works in the MNS department but A works in the Ops department.

IX. G earns the highest and lives in the middle

X. F lives to the immediate right of C.

...view full instructions

Who among the following earns the second – lowest package?

A
D

B
F

C
E

D
Cannot be determined

Solution

Regarding the department, E works in Fin, A works in Ops, C and F doesn’t work in MNS, so either they work in Fin or in Ops department. Also, MNS has highest number of employees and it’s a unique number, so remaining people B, D and G work for MNS department. Also, there would be two people working in each of Fin and Ops department.

Now, G is at the center and E is at the extreme right and employee at extreme left earns least. So, C (earning 2nd highest) could be either at 2nd place or 5th place from the left, such that F being immediate right of C is either at 3rd place or 6th place respectively.

As A works in Ops department, so A can’t be at extreme left where MNS employee works. Now we have 4th position fixed for G and 7th position fixed for E. Since the gap between C and A as well as F and D is same, so we cannot place D adjacent to G as both work in MNS department. And we need to place F immediate right of C, so only correct scenario would be C sitting at 2nd place and F at 3rd place from the left such that A is at 5th place and D is at 6th place from the left respectively. So B will sit at the extreme left position.

Regarding their departments, we know that B, D and G work in MNS department and 2 people of the same department cannot live next to each other, so C or F must work in either Ops/Fin department.

Now, regarding the package, all 7 employees have a different integer package from 9 mn to 18 mn (both inclusive), except 15 mn. Also, the average earnings (different value than employees earning) is also an integer such that more people earns less than average.

So, basically we have to select 7 values among 9 values (9, 10, 11, 12, 13, 14, 15, 16, 17 and 18) such that the average of 7 values is an integer and that value is not among those 7 values which comes out to be the average earning.

Sum of values which are allowed = 9 + 10 + 11 + 12 + 13 + 14 + 16 + 17 + 18 = 120. But we need to remove 2 values and ensure that the average of the remaining 7 values is an integer. So if we remove 13 and 16 i.e a total of 29 is subtracted from 120, we get 91, which is a multiple of 7. So average of these 7 values is 91/7 = 13 which is not included among the 7 packages.

Thus, the packages of 7 employees are 9 mn, 10 mn, 11 mn, 12 mn, 14 mn, 17 mn and 18 mn and the average earnings = 13 mn So, B earns 9 mn (least), C earns 17 mn (2nd highest) and G earns 18 mn (highest). Also, F, D and E earn less than the average, so these people earn 10 mn, 11 mn and 12 mn in any order. Hence A earns 14 mn.

The rest of the information can be gathered as follows-

The second lowest package is 10 mn and it could be earned by either D or E or F. Hence, cannot be determined.
Question 5
3 / -1

Directions For Questions

Read the passage carefully and answer the questions that follow

Mankind is the world’s largest FMCG brand. In their top management, they have seven people named A, B, C, D, E, F, and G. The top management consists of three departments – MNS, Fin and Ops. All the seven top management employees works for one and only one of the department. Further, all of them have different packages from 9 mn to 18 mn (Both inclusive). The company has provided them with luxurious flats in the locality. Their houses are in one row not necessary in the given order facing north.

Further, the following information is known about them

I. There are as many persons between C and A as between F and D. F and D both earn less than the average.

II. Both the highest and the lowest packages are for MNS employees

III. No one earns the same amount as the average (all 7 employees) of their packages. There is more number of persons earning lesser than the average. No one earns 15 mn package.

IV. All the packages are in integers and their average is also an integer

V. No two employees of the same department lives next to each other. MNS has the highest number of employees which is a unique number.

VI. E lives at the extreme right, works in the Fin department and earns less than the average.

VII. The employee who lives at the extreme left works for the MNS department and earns the least.

VIII. Neither C, who earns the second – highest package, nor F works in the MNS department but A works in the Ops department.

IX. G earns the highest and lives in the middle

X. F lives to the immediate right of C.

...view full instructions

If Fin department has got the second highest package then who among the following are from Ops department?

A
F

B
C

C
B

D
D

Solution

Regarding the department, E works in Fin, A works in Ops, C and F doesn’t work in MNS, so either they work in Fin or in Ops department. Also, MNS has highest number of employees and it’s a unique number, so remaining people B, D and G work for MNS department. Also, there would be two people working in each of Fin and Ops department.

Now, G is at the center and E is at the extreme right and employee at extreme left earns least. So, C (earning 2nd highest) could be either at 2nd place or 5th place from the left, such that F being immediate right of C is either at 3rd place or 6th place respectively.

As A works in Ops department, so A can’t be at extreme left where MNS employee works. Now we have 4th position fixed for G and 7th position fixed for E. Since the gap between C and A as well as F and D is same, so we cannot place D adjacent to G as both work in MNS department. And we need to place F immediate right of C, so only correct scenario would be C sitting at 2nd place and F at 3rd place from the left such that A is at 5th place and D is at 6th place from the left respectively. So B will sit at the extreme left position.

Regarding their departments, we know that B, D and G work in MNS department and 2 people of the same department cannot live next to each other, so C or F must work in either Ops/Fin department.

Now, regarding the package, all 7 employees have a different integer package from 9 mn to 18 mn (both inclusive), except 15 mn. Also, the average earnings (different value than employees earning) is also an integer such that more people earns less than average.

So, basically we have to select 7 values among 9 values (9, 10, 11, 12, 13, 14, 15, 16, 17 and 18) such that the average of 7 values is an integer and that value is not among those 7 values which comes out to be the average earning.

Sum of values which are allowed = 9 + 10 + 11 + 12 + 13 + 14 + 16 + 17 + 18 = 120. But we need to remove 2 values and ensure that the average of the remaining 7 values is an integer. So if we remove 13 and 16 i.e a total of 29 is subtracted from 120, we get 91, which is a multiple of 7. So average of these 7 values is 91/7 = 13 which is not included among the 7 packages.

Thus, the packages of 7 employees are 9 mn, 10 mn, 11 mn, 12 mn, 14 mn, 17 mn and 18 mn and the average earnings = 13 mn So, B earns 9 mn (least), C earns 17 mn (2nd highest) and G earns 18 mn (highest). Also, F, D and E earn less than the average, so these people earn 10 mn, 11 mn and 12 mn in any order. Hence A earns 14 mn.

The rest of the information can be gathered as follows-

If Fin department got 2nd highest package, which is C, then F must be from Ops department
Question 6
3 / -1

Directions For Questions

Read the passage carefully and answer the questions that follow

Mankind is the world’s largest FMCG brand. In their top management, they have seven people named A, B, C, D, E, F, and G. The top management consists of three departments – MNS, Fin and Ops. All the seven top management employees works for one and only one of the department. Further, all of them have different packages from 9 mn to 18 mn (Both inclusive). The company has provided them with luxurious flats in the locality. Their houses are in one row not necessary in the given order facing north.

Further, the following information is known about them

I. There are as many persons between C and A as between F and D. F and D both earn less than the average.

II. Both the highest and the lowest packages are for MNS employees

III. No one earns the same amount as the average (all 7 employees) of their packages. There is more number of persons earning lesser than the average. No one earns 15 mn package.

IV. All the packages are in integers and their average is also an integer

V. No two employees of the same department lives next to each other. MNS has the highest number of employees which is a unique number.

VI. E lives at the extreme right, works in the Fin department and earns less than the average.

VII. The employee who lives at the extreme left works for the MNS department and earns the least.

VIII. Neither C, who earns the second – highest package, nor F works in the MNS department but A works in the Ops department.

IX. G earns the highest and lives in the middle

X. F lives to the immediate right of C.

...view full instructions

Who earns the least?

A
A

B
B

C
D

D
F

Solution

Regarding the department, E works in Fin, A works in Ops, C and F doesn’t work in MNS, so either they work in Fin or in Ops department. Also, MNS has highest number of employees and it’s a unique number, so remaining people B, D and G work for MNS department. Also, there would be two people working in each of Fin and Ops department.

Now, G is at the center and E is at the extreme right and employee at extreme left earns least. So, C (earning 2nd highest) could be either at 2nd place or 5th place from the left, such that F being immediate right of C is either at 3rd place or 6th place respectively.

As A works in Ops department, so A can’t be at extreme left where MNS employee works. Now we have 4th position fixed for G and 7th position fixed for E. Since the gap between C and A as well as F and D is same, so we cannot place D adjacent to G as both work in MNS department. And we need to place F immediate right of C, so only correct scenario would be C sitting at 2nd place and F at 3rd place from the left such that A is at 5th place and D is at 6th place from the left respectively. So B will sit at the extreme left position.

Regarding their departments, we know that B, D and G work in MNS department and 2 people of the same department cannot live next to each other, so C or F must work in either Ops/Fin department.

Now, regarding the package, all 7 employees have a different integer package from 9 mn to 18 mn (both inclusive), except 15 mn. Also, the average earnings (different value than employees earning) is also an integer such that more people earns less than average.

So, basically we have to select 7 values among 9 values (9, 10, 11, 12, 13, 14, 15, 16, 17 and 18) such that the average of 7 values is an integer and that value is not among those 7 values which comes out to be the average earning.

Sum of values which are allowed = 9 + 10 + 11 + 12 + 13 + 14 + 16 + 17 + 18 = 120. But we need to remove 2 values and ensure that the average of the remaining 7 values is an integer. So if we remove 13 and 16 i.e a total of 29 is subtracted from 120, we get 91, which is a multiple of 7. So average of these 7 values is 91/7 = 13 which is not included among the 7 packages.

Thus, the packages of 7 employees are 9 mn, 10 mn, 11 mn, 12 mn, 14 mn, 17 mn and 18 mn and the average earnings = 13 mn So, B earns 9 mn (least), C earns 17 mn (2nd highest) and G earns 18 mn (highest). Also, F, D and E earn less than the average, so these people earn 10 mn, 11 mn and 12 mn in any order. Hence A earns 14 mn.

The rest of the information can be gathered as follows-

B earns the least.
Question 7
3 / -1

Directions For Questions

Read the passage carefully and answer the questions that follow

Magic square is a square array of numbers, (usually natural numbers) such that the sum of the numbers in each row, each column and both main diagonals is the same.

Given is a magic square of order 4 × 4 such that it is filled with 16 consecutive natural numbers

a₁₁ is the least number and it’s a two digit prime number. The number in first row and fourth column is a perfect square of two digits. The sum of above two mentioned numbers is a prime number not more than 44. Also, sum of a₂₂ , a₂₃ and a₃₃ is sixty. The last number of first column is also a perfect square and is more than the last number of first row. The number which is in 4th column as well as 4th row is the highest number

...view full instructions

How many magic squares can be made by using given conditions?

A
3

B
1

C
2

D
4

Solution
Question 8
3 / -1

Directions For Questions

Read the passage carefully and answer the questions that follow

Magic square is a square array of numbers, (usually natural numbers) such that the sum of the numbers in each row, each column and both main diagonals is the same.

Given is a magic square of order 4 × 4 such that it is filled with 16 consecutive natural numbers

a₁₁ is the least number and it’s a two digit prime number. The number in first row and fourth column is a perfect square of two digits. The sum of above two mentioned numbers is a prime number not more than 44. Also, sum of a₂₂ , a₂₃ and a₃₃ is sixty. The last number of first column is also a perfect square and is more than the last number of first row. The number which is in 4th column as well as 4th row is the highest number

...view full instructions

Find the sum of a₂₁ and a₂₄ .

A
42

B
37

C
45

D
50

Solution
Question 9
3 / -1

Directions For Questions

Read the passage carefully and answer the questions that follow

Magic square is a square array of numbers, (usually natural numbers) such that the sum of the numbers in each row, each column and both main diagonals is the same.

Given is a magic square of order 4 × 4 such that it is filled with 16 consecutive natural numbers

a₁₁ is the least number and it’s a two digit prime number. The number in first row and fourth column is a perfect square of two digits. The sum of above two mentioned numbers is a prime number not more than 44. Also, sum of a₂₂ , a₂₃ and a₃₃ is sixty. The last number of first column is also a perfect square and is more than the last number of first row. The number which is in 4th column as well as 4th row is the highest number

...view full instructions

How many values out of 16 values can be determined?

A
16

B
14

C
12

D
10

Solution
Question 10
3 / -1

Directions For Questions

Read the passage carefully and answer the questions that follow

Magic square is a square array of numbers, (usually natural numbers) such that the sum of the numbers in each row, each column and both main diagonals is the same.

Given is a magic square of order 4 × 4 such that it is filled with 16 consecutive natural numbers

a₁₁ is the least number and it’s a two digit prime number. The number in first row and fourth column is a perfect square of two digits. The sum of above two mentioned numbers is a prime number not more than 44. Also, sum of a₂₂ , a₂₃ and a₃₃ is sixty. The last number of first column is also a perfect square and is more than the last number of first row. The number which is in 4th column as well as 4th row is the highest number

...view full instructions

Find sum of all 16 numbers.

A
326

B
328

C
330

D
Cannot be determined

Solution