Comprehension
Directions: Study the given information and answer the following questions based on it.
There are three buildings X, Y and Z in a linear row from west to east respectively such that each building has different number of floors. The floors of buildings X and Z are numbered in such a way that the ground floor is numbered 0, first floor is numbered 1, second floor is numbered 2 and so on. The floors of building Y are numbered in such a way that the ground floor is numbered 1, first floor is numbered 2, second floor is numbered 3 and so on. The topmost floor in any building is painted red and the three consecutive floors below it are painted black, white and blue respectively. The floor immediately below the blue floor is painted red and the sequence continues till the ground floor.
NOTE: (i) If the number of floors in between two floors A and B are given, then A and B are in the same building. Also, if A is immediately above/below B then, A and B are in the same building.
(ii) If floor A is in building X and is to the west of floor B, then B can be in building Y or Z and is horizontally aligned with A. In other words, if A is floor no. 5 of building X and is to the west of floor B which is in building Z, then B is also floor no. 5 of building Z.
O's floor is not numbered 0 and has two blue floors above it. Ground floor of building Z is not painted red. W is in building Y and is painted black. W has more than one floor above it. Two floors are in between H and R such that H is below R. H and E are in building X. R is painted blue. T's floor is numbered 0 and is painted with neither blue nor red. Six floors are above E. Floor L is to the east of floor V. The total number of floors in building Y is equal to the floor number of the floor immediately below L. O is painted red and there is no floor below it. G is in floor no. 9. G is neither immediately below V nor is the topmost floor of its building. D is to the immediate east of E and is painted white. Four floors painted red in building Z. N is the topmost floor of its building. The number of floors below N is twice that below D. Q is painted the same colour as E but its floor number is lower than that of E. S is immediately above Q. Two floors are in between M and S. M is not painted the same colour as H. M's floor is not numbered 0. Neither T nor G is adjacent to M.
There are three buildings X, Y and Z in a linear row from west to east respectively such that each building has different number of floors. The floors of buildings X and Z are numbered in such a way that the ground floor is numbered 0, first floor is numbered 1, second floor is numbered 2 and so on. The floors of building Y are numbered in such a way that the ground floor is numbered 1, first floor is numbered 2, second floor is numbered 3 and so on. The topmost floor in any building is painted red and the three consecutive floors below it are painted black, white and blue respectively. The floor immediately below the blue floor is painted red and the sequence continues till the ground floor.
NOTE: (i) If the number of floors in between two floors A and B are given, then A and B are in the same building. Also, if A is immediately above/below B then, A and B are in the same building.
(ii) If floor A is in building X and is to the west of floor B, then B can be in building Y or Z and is horizontally aligned with A. In other words, if A is floor no. 5 of building X and is to the west of floor B which is in building Z, then B is also floor no. 5 of building Z.
O's floor is not numbered 0 and has two blue floors above it. Ground floor of building Z is not painted red. W is in building Y and is painted black. W has more than one floor above it. Two floors are in between H and R such that H is below R. H and E are in building X. R is painted blue. T's floor is numbered 0 and is painted with neither blue nor red. Six floors are above E. Floor L is to the east of floor V. The total number of floors in building Y is equal to the floor number of the floor immediately below L. O is painted red and there is no floor below it. G is in floor no. 9. G is neither immediately below V nor is the topmost floor of its building. D is to the immediate east of E and is painted white. Four floors painted red in building Z. N is the topmost floor of its building. The number of floors below N is twice that below D. Q is painted the same colour as E but its floor number is lower than that of E. S is immediately above Q. Two floors are in between M and S. M is not painted the same colour as H. M's floor is not numbered 0. Neither T nor G is adjacent to M.
Question: 1
How many floors are in building Z?
How many floors are in building Z?
Updated On: Sep 13, 2024
- Fourteen
- Thirteen
- Sixteen
- Fifteen
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The Correct Option is D
Solution and Explanation
The correct option is (D): Fifteen.
The floors of buildings X and Z are numbered from 0 while that of building Y are numbered from 1. The topmost floor in any building is painted red
and the three consecutive floors below it are painted black, white and blue respectively. The floor immediately below the blue floor is painted red and the sequence continues till the ground floor. Let us denote red, black, white and blue by r, bk, w and bu in the figures.
O is painted red and there is no floor below it. O's floor is not numbered 0 and has two blue floors above it. So, O must be the ground floor of building Y. Since, it is red and there are only 2 blue floors above, building Y must have 9 floors.
Floor L is to the east of floor V. The total number of floors in building Y is equal to the floor number of the floor immediately below L. So, L must be in building Z and the floor immediately below it will be floor no. 9 of building Z. Hence, L is floor no. 10 of Z and V is floor no. 10 of X.
Four floors painted red in building Z. Ground floor of building Z is not painted red. Six floors are above E. E is in building X. D is to the immediate east of E and is painted white. So, D must be floor no. 7 of Y.
T's floor is numbered 0 and is painted with neither blue nor red. So, case 3 is invalid. N is the topmost floor of its building. The number of floors below N is twice that below D. So, N has 12 floors below it and is in building X. G is in floor no. 9. G is neither immediately below V nor is the topmost floor of its building. So, G is in Z. W is in building Y and is painted black. W has more than one floor above it.
Q is painted the same colour as E but its floor number is lower than that of E. S is immediately above Q. So, Q is white and will be below floor no. 6. Two floors are in between M and S. So, M will be either white or red. M's floor is not numbered 0. So, Q, S, M will not be in X. Hence, the only possibility is in building Z. Neither T nor G is adjacent to M.
Two floors are in between H and R such that H is below R. H is in building X. R is painted blue. M is not painted the same colour as H. So, case 1 is invalid.
Building Z has 15 floors (0 to 14).
The floors of buildings X and Z are numbered from 0 while that of building Y are numbered from 1. The topmost floor in any building is painted red
and the three consecutive floors below it are painted black, white and blue respectively. The floor immediately below the blue floor is painted red and the sequence continues till the ground floor. Let us denote red, black, white and blue by r, bk, w and bu in the figures.
O is painted red and there is no floor below it. O's floor is not numbered 0 and has two blue floors above it. So, O must be the ground floor of building Y. Since, it is red and there are only 2 blue floors above, building Y must have 9 floors.
Floor L is to the east of floor V. The total number of floors in building Y is equal to the floor number of the floor immediately below L. So, L must be in building Z and the floor immediately below it will be floor no. 9 of building Z. Hence, L is floor no. 10 of Z and V is floor no. 10 of X.
Four floors painted red in building Z. Ground floor of building Z is not painted red. Six floors are above E. E is in building X. D is to the immediate east of E and is painted white. So, D must be floor no. 7 of Y.
T's floor is numbered 0 and is painted with neither blue nor red. So, case 3 is invalid. N is the topmost floor of its building. The number of floors below N is twice that below D. So, N has 12 floors below it and is in building X. G is in floor no. 9. G is neither immediately below V nor is the topmost floor of its building. So, G is in Z. W is in building Y and is painted black. W has more than one floor above it.
Q is painted the same colour as E but its floor number is lower than that of E. S is immediately above Q. So, Q is white and will be below floor no. 6. Two floors are in between M and S. So, M will be either white or red. M's floor is not numbered 0. So, Q, S, M will not be in X. Hence, the only possibility is in building Z. Neither T nor G is adjacent to M.
Two floors are in between H and R such that H is below R. H is in building X. R is painted blue. M is not painted the same colour as H. So, case 1 is invalid.
Building Z has 15 floors (0 to 14).
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Question: 2
Which of the following floors are consecutive (in the same building)?
Which of the following floors are consecutive (in the same building)?
Updated On: Sep 13, 2024
- EH
- NV
- VR
- RE
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The Correct Option is D
Solution and Explanation
The correct option is (D): RE.
The floors of buildings X and Z are numbered from 0 while that of building Y are numbered from 1. The topmost floor in any building is painted red
and the three consecutive floors below it are painted black, white and blue respectively. The floor immediately below the blue floor is painted red and the sequence continues till the ground floor. Let us denote red, black, white and blue by r, bk, w and bu in the figures.
O is painted red and there is no floor below it. O's floor is not numbered 0 and has two blue floors above it. So, O must be the ground floor of building Y. Since, it is red and there are only 2 blue floors above, building Y must have 9 floors.
Floor L is to the east of floor V. The total number of floors in building Y is equal to the floor number of the floor immediately below L. So, L must be in building Z and the floor immediately below it will be floor no. 9 of building Z. Hence, L is floor no. 10 of Z and V is floor no. 10 of X.
Four floors painted red in building Z. Ground floor of building Z is not painted red. Six floors are above E. E is in building X. D is to the immediate east of E and is painted white. So, D must be floor no. 7 of Y.
T's floor is numbered 0 and is painted with neither blue nor red. So, case 3 is invalid. N is the topmost floor of its building. The number of floors below N is twice that below D. So, N has 12 floors below it and is in building X. G is in floor no. 9. G is neither immediately below V nor is the topmost floor of its building. So, G is in Z. W is in building Y and is painted black. W has more than one floor above it.
Q is painted the same colour as E but its floor number is lower than that of E. S is immediately above Q. So, Q is white and will be below floor no. 6. Two floors are in between M and S. So, M will be either white or red. M's floor is not numbered 0. So, Q, S, M will not be in X. Hence, the only possibility is in building Z. Neither T nor G is adjacent to M.
Two floors are in between H and R such that H is below R. H is in building X. R is painted blue. M is not painted the same colour as H. So, case 1 is invalid.
R and E are consecutive floors.
The floors of buildings X and Z are numbered from 0 while that of building Y are numbered from 1. The topmost floor in any building is painted red
and the three consecutive floors below it are painted black, white and blue respectively. The floor immediately below the blue floor is painted red and the sequence continues till the ground floor. Let us denote red, black, white and blue by r, bk, w and bu in the figures.
O is painted red and there is no floor below it. O's floor is not numbered 0 and has two blue floors above it. So, O must be the ground floor of building Y. Since, it is red and there are only 2 blue floors above, building Y must have 9 floors.
Floor L is to the east of floor V. The total number of floors in building Y is equal to the floor number of the floor immediately below L. So, L must be in building Z and the floor immediately below it will be floor no. 9 of building Z. Hence, L is floor no. 10 of Z and V is floor no. 10 of X.
Four floors painted red in building Z. Ground floor of building Z is not painted red. Six floors are above E. E is in building X. D is to the immediate east of E and is painted white. So, D must be floor no. 7 of Y.
T's floor is numbered 0 and is painted with neither blue nor red. So, case 3 is invalid. N is the topmost floor of its building. The number of floors below N is twice that below D. So, N has 12 floors below it and is in building X. G is in floor no. 9. G is neither immediately below V nor is the topmost floor of its building. So, G is in Z. W is in building Y and is painted black. W has more than one floor above it.
Q is painted the same colour as E but its floor number is lower than that of E. S is immediately above Q. So, Q is white and will be below floor no. 6. Two floors are in between M and S. So, M will be either white or red. M's floor is not numbered 0. So, Q, S, M will not be in X. Hence, the only possibility is in building Z. Neither T nor G is adjacent to M.
Two floors are in between H and R such that H is below R. H is in building X. R is painted blue. M is not painted the same colour as H. So, case 1 is invalid.
R and E are consecutive floors.
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Question: 3
Which of the following is a red floor in building Y?
Which of the following is a red floor in building Y?
Updated On: Sep 13, 2024
- L
- N
- M
- None of the given
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The Correct Option is D
Solution and Explanation
The correct option is (D): None of the given.
The floors of buildings X and Z are numbered from 0 while that of building Y are numbered from 1. The topmost floor in any building is painted red
and the three consecutive floors below it are painted black, white and blue respectively. The floor immediately below the blue floor is painted red and the sequence continues till the ground floor. Let us denote red, black, white and blue by r, bk, w and bu in the figures.
O is painted red and there is no floor below it. O's floor is not numbered 0 and has two blue floors above it. So, O must be the ground floor of building Y. Since, it is red and there are only 2 blue floors above, building Y must have 9 floors.
Floor L is to the east of floor V. The total number of floors in building Y is equal to the floor number of the floor immediately below L. So, L must be in building Z and the floor immediately below it will be floor no. 9 of building Z. Hence, L is floor no. 10 of Z and V is floor no. 10 of X.
Four floors painted red in building Z. Ground floor of building Z is not painted red. Six floors are above E. E is in building X. D is to the immediate east of E and is painted white. So, D must be floor no. 7 of Y.
T's floor is numbered 0 and is painted with neither blue nor red. So, case 3 is invalid. N is the topmost floor of its building. The number of floors below N is twice that below D. So, N has 12 floors below it and is in building X. G is in floor no. 9. G is neither immediately below V nor is the topmost floor of its building. So, G is in Z. W is in building Y and is painted black. W has more than one floor above it.
Q is painted the same colour as E but its floor number is lower than that of E. S is immediately above Q. So, Q is white and will be below floor no. 6. Two floors are in between M and S. So, M will be either white or red. M's floor is not numbered 0. So, Q, S, M will not be in X. Hence, the only possibility is in building Z. Neither T nor G is adjacent to M.
Two floors are in between H and R such that H is below R. H is in building X. R is painted blue. M is not painted the same colour as H. So, case 1 is invalid.
None of the given floors is a red floor in building Y.
The floors of buildings X and Z are numbered from 0 while that of building Y are numbered from 1. The topmost floor in any building is painted red
and the three consecutive floors below it are painted black, white and blue respectively. The floor immediately below the blue floor is painted red and the sequence continues till the ground floor. Let us denote red, black, white and blue by r, bk, w and bu in the figures.
O is painted red and there is no floor below it. O's floor is not numbered 0 and has two blue floors above it. So, O must be the ground floor of building Y. Since, it is red and there are only 2 blue floors above, building Y must have 9 floors.
Floor L is to the east of floor V. The total number of floors in building Y is equal to the floor number of the floor immediately below L. So, L must be in building Z and the floor immediately below it will be floor no. 9 of building Z. Hence, L is floor no. 10 of Z and V is floor no. 10 of X.
Four floors painted red in building Z. Ground floor of building Z is not painted red. Six floors are above E. E is in building X. D is to the immediate east of E and is painted white. So, D must be floor no. 7 of Y.
T's floor is numbered 0 and is painted with neither blue nor red. So, case 3 is invalid. N is the topmost floor of its building. The number of floors below N is twice that below D. So, N has 12 floors below it and is in building X. G is in floor no. 9. G is neither immediately below V nor is the topmost floor of its building. So, G is in Z. W is in building Y and is painted black. W has more than one floor above it.
Q is painted the same colour as E but its floor number is lower than that of E. S is immediately above Q. So, Q is white and will be below floor no. 6. Two floors are in between M and S. So, M will be either white or red. M's floor is not numbered 0. So, Q, S, M will not be in X. Hence, the only possibility is in building Z. Neither T nor G is adjacent to M.
Two floors are in between H and R such that H is below R. H is in building X. R is painted blue. M is not painted the same colour as H. So, case 1 is invalid.
None of the given floors is a red floor in building Y.
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Question: 4
If U is floor no. 13, then how many floors will be above U?
If U is floor no. 13, then how many floors will be above U?
Updated On: Sep 13, 2024
- Two
- One
- None
- Three
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The Correct Option is B
Solution and Explanation
The correct option is (B): One.
The floors of buildings X and Z are numbered from 0 while that of building Y are numbered from 1. The topmost floor in any building is painted red
and the three consecutive floors below it are painted black, white and blue respectively. The floor immediately below the blue floor is painted red and the sequence continues till the ground floor. Let us denote red, black, white and blue by r, bk, w and bu in the figures.
O is painted red and there is no floor below it. O's floor is not numbered 0 and has two blue floors above it. So, O must be the ground floor of building Y. Since, it is red and there are only 2 blue floors above, building Y must have 9 floors.
Floor L is to the east of floor V. The total number of floors in building Y is equal to the floor number of the floor immediately below L. So, L must be in building Z and the floor immediately below it will be floor no. 9 of building Z. Hence, L is floor no. 10 of Z and V is floor no. 10 of X.
Four floors painted red in building Z. Ground floor of building Z is not painted red. Six floors are above E. E is in building X. D is to the immediate east of E and is painted white. So, D must be floor no. 7 of Y.
T's floor is numbered 0 and is painted with neither blue nor red. So, case 3 is invalid. N is the topmost floor of its building. The number of floors below N is twice that below D. So, N has 12 floors below it and is in building X. G is in floor no. 9. G is neither immediately below V nor is the topmost floor of its building. So, G is in Z. W is in building Y and is painted black. W has more than one floor above it.
Q is painted the same colour as E but its floor number is lower than that of E. S is immediately above Q. So, Q is white and will be below floor no. 6. Two floors are in between M and S. So, M will be either white or red. M's floor is not numbered 0. So, Q, S, M will not be in X. Hence, the only possibility is in building Z. Neither T nor G is adjacent to M.
Two floors are in between H and R such that H is below R. H is in building X. R is painted blue. M is not painted the same colour as H. So, case 1 is invalid.
Only one floor will be above U, which will be in building Z.
The floors of buildings X and Z are numbered from 0 while that of building Y are numbered from 1. The topmost floor in any building is painted red
and the three consecutive floors below it are painted black, white and blue respectively. The floor immediately below the blue floor is painted red and the sequence continues till the ground floor. Let us denote red, black, white and blue by r, bk, w and bu in the figures.
O is painted red and there is no floor below it. O's floor is not numbered 0 and has two blue floors above it. So, O must be the ground floor of building Y. Since, it is red and there are only 2 blue floors above, building Y must have 9 floors.
Floor L is to the east of floor V. The total number of floors in building Y is equal to the floor number of the floor immediately below L. So, L must be in building Z and the floor immediately below it will be floor no. 9 of building Z. Hence, L is floor no. 10 of Z and V is floor no. 10 of X.
Four floors painted red in building Z. Ground floor of building Z is not painted red. Six floors are above E. E is in building X. D is to the immediate east of E and is painted white. So, D must be floor no. 7 of Y.
T's floor is numbered 0 and is painted with neither blue nor red. So, case 3 is invalid. N is the topmost floor of its building. The number of floors below N is twice that below D. So, N has 12 floors below it and is in building X. G is in floor no. 9. G is neither immediately below V nor is the topmost floor of its building. So, G is in Z. W is in building Y and is painted black. W has more than one floor above it.
Q is painted the same colour as E but its floor number is lower than that of E. S is immediately above Q. So, Q is white and will be below floor no. 6. Two floors are in between M and S. So, M will be either white or red. M's floor is not numbered 0. So, Q, S, M will not be in X. Hence, the only possibility is in building Z. Neither T nor G is adjacent to M.
Two floors are in between H and R such that H is below R. H is in building X. R is painted blue. M is not painted the same colour as H. So, case 1 is invalid.
Only one floor will be above U, which will be in building Z.
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Question: 5
Which of the following floors form the sequence: red, black, white and blue respectively (though they may be in different buildings)?
Which of the following floors form the sequence: red, black, white and blue respectively (though they may be in different buildings)?
Updated On: Sep 13, 2024
- NWTR
- NVWL
- OGTM
- MTGL
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The Correct Option is A
Solution and Explanation
The correct option is (A): NWTR.
The floors of buildings X and Z are numbered from 0 while that of building Y are numbered from 1. The topmost floor in any building is painted red
and the three consecutive floors below it are painted black, white and blue respectively. The floor immediately below the blue floor is painted red and the sequence continues till the ground floor. Let us denote red, black, white and blue by r, bk, w and bu in the figures.
O is painted red and there is no floor below it. O's floor is not numbered 0 and has two blue floors above it. So, O must be the ground floor of building Y. Since, it is red and there are only 2 blue floors above, building Y must have 9 floors.
Floor L is to the east of floor V. The total number of floors in building Y is equal to the floor number of the floor immediately below L. So, L must be in building Z and the floor immediately below it will be floor no. 9 of building Z. Hence, L is floor no. 10 of Z and V is floor no. 10 of X.
Four floors painted red in building Z. Ground floor of building Z is not painted red. Six floors are above E. E is in building X. D is to the immediate east of E and is painted white. So, D must be floor no. 7 of Y.
T's floor is numbered 0 and is painted with neither blue nor red. So, case 3 is invalid. N is the topmost floor of its building. The number of floors below N is twice that below D. So, N has 12 floors below it and is in building X. G is in floor no. 9. G is neither immediately below V nor is the topmost floor of its building. So, G is in Z. W is in building Y and is painted black. W has more than one floor above it.
Q is painted the same colour as E but its floor number is lower than that of E. S is immediately above Q. So, Q is white and will be below floor no. 6. Two floors are in between M and S. So, M will be either white or red. M's floor is not numbered 0. So, Q, S, M will not be in X. Hence, the only possibility is in building Z. Neither T nor G is adjacent to M.
Two floors are in between H and R such that H is below R. H is in building X. R is painted blue. M is not painted the same colour as H. So, case 1 is invalid.
Among the given options, only NWTR forms the sequence: red, black, white and blue respectively.
The floors of buildings X and Z are numbered from 0 while that of building Y are numbered from 1. The topmost floor in any building is painted red
and the three consecutive floors below it are painted black, white and blue respectively. The floor immediately below the blue floor is painted red and the sequence continues till the ground floor. Let us denote red, black, white and blue by r, bk, w and bu in the figures.
O is painted red and there is no floor below it. O's floor is not numbered 0 and has two blue floors above it. So, O must be the ground floor of building Y. Since, it is red and there are only 2 blue floors above, building Y must have 9 floors.
Floor L is to the east of floor V. The total number of floors in building Y is equal to the floor number of the floor immediately below L. So, L must be in building Z and the floor immediately below it will be floor no. 9 of building Z. Hence, L is floor no. 10 of Z and V is floor no. 10 of X.
Four floors painted red in building Z. Ground floor of building Z is not painted red. Six floors are above E. E is in building X. D is to the immediate east of E and is painted white. So, D must be floor no. 7 of Y.
T's floor is numbered 0 and is painted with neither blue nor red. So, case 3 is invalid. N is the topmost floor of its building. The number of floors below N is twice that below D. So, N has 12 floors below it and is in building X. G is in floor no. 9. G is neither immediately below V nor is the topmost floor of its building. So, G is in Z. W is in building Y and is painted black. W has more than one floor above it.
Q is painted the same colour as E but its floor number is lower than that of E. S is immediately above Q. So, Q is white and will be below floor no. 6. Two floors are in between M and S. So, M will be either white or red. M's floor is not numbered 0. So, Q, S, M will not be in X. Hence, the only possibility is in building Z. Neither T nor G is adjacent to M.
Two floors are in between H and R such that H is below R. H is in building X. R is painted blue. M is not painted the same colour as H. So, case 1 is invalid.
Among the given options, only NWTR forms the sequence: red, black, white and blue respectively.
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- Sam can complete a job in 20 days when working alone. Mohit is twice as fast as Sam and thrice as fast as Ayana in the same job. They undertake a job with an arrangement where Sam and Mohit work together on the first day, Sam and Ayana on the second day, Mohit and Ayana on the third day, and this three-day pattern is repeated till the work gets completed. Then, the fraction of total work done by Sam is
- CAT - 2024
- Time and Work
- The number of all positive integers up to 500 with non-repeating digits is
- CAT - 2024
- Number Systems
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