English and Logical Reasoning Prep Guide
- Exam
- English and Logical Reasoning Prep Guide
- Subject
- Logical Reasoning
- Chapter
- Data Sufficiency
English and Logical Reasoning Prep Guide · Logical Reasoning · Data Sufficiency
Directions: The below mentioned question is to be answered using...
Directions: The below mentioned question is to be answered using the statements I and II given below. You have to determine the statement(s) which is/are sufficient to answer the question and mark the option accordingly.
In an almirah, there are 7 stacks such that the bottomost stack is numbered as 1 and the topmost stack is numbered as 7, no book is placed at stack number 5. Only one book among U,B,M,T,S and H is placed at one stack. What is the stack number of T and the difference of the stack numbers of T and B?
Statement I : T is placed at a gap of two stacks from M. B and S are placed on adjacent stacks where S is above B. Only U is placed above H, which is at an even numbered stack.
Statement II : S is placed two stacks below the vacant stack. Only one stack is between the stacks of T and B. U is placed just above H. B is adjacent to S.
Options
- AIf the data in statement I alone is sufficient to answer the question
- BIf the data in statement II alone is sufficient to answer the question
- CIf the data in statements I and II is necessary to answer the question
- DIf the data in statements I and II is not sufficient to answer the question
Correct answer
C.
If the data in statements I and II is necessary to answer the question
Step-by-step solution
Checking statement I:
Statement I:& T& is placed& at a gap of two stacks from M. B and S are& placed& on adjacent stacks where S is above B. Only U& is placed& above H, which is at an even numbered stack.
Statement I:& T& is placed& at a gap of two stacks from M. B and S are& placed& on adjacent stacks where S is above B. Only U& is placed& above H, which is at an even numbered stack.
| Stack number | Books |
| 7 | U |
| 6 | H |
| 5 | Vacant |
| 4 | D/C |
| 3 | S |
| 2 | B |
| 1 | C/D |
Here we cannot determine the stack number of T, thus the required difference cannot be found out.
Hence data in statement I is not sufficient.
Checking statement II:
Statement II:& S& is placed& two stacks below the vacant stack. Only one stack is between the stacks of T and B. U& is placed& just above H. B is adjacent to S.
Following three cases are possible with the given hints.
| Stack number | Case-1 | Case-2 | Case-3 |
| Books | Books | Books | |
| 7 | U | U | |
| 6 | H | T | H |
| 5 | Vacant | Vacant | Vacant |
| 4 | T | B | B |
| 3 | S | S | S |
| 2 | B | U | T |
| 1 | H |
Hence data in statement II is not sufficient.
Checking statements I and II:
Statement I:& T& is placed& at a gap of two stacks from M. B and S are& placed& on adjacent stacks where S is above B. Only U& is placed& above H, which is at an even numbered stack.
Statement II:& S& is placed& two stacks below the vacant stack. Only one stack is between the stacks of T and B. U& is placed& just above H. B is adjacent to S.
| Stack number | Books |
| 7 | U |
| 6 | H |
| 5 | Vacant |
| 4 | T |
| 3 | S |
| 2 | B |
| 1 | M |
Thus the difference between the stack numbers of B and T is 2.
Hence data in both the statements is necessary to answer the question.
Hence option C& is correct.