Comprehension
Agroup of three or four has to be selected from seven persons. Among the seven are two women: Fiza and Kavita, and five men: Ram, Shyam, David, Peter and Rahim. Ram would not like to be in the group If Shyam is also selected. Shyam and Rahim want to be selected together in the group. Kavita would like to be in the group only if David is also there. David, if selected, would not like Peter in the group. Ram would like to be in the group only if Peter is also there. David insists that Fiza be selected in case he is there in the group.
Question: 1
Which of the following is a feasible group of three?
Which of the following is a feasible group of three?
Show Hint
Translate all conditions into "if–then" logic before testing combinations systematically.
Updated On: Aug 4, 2025
- David, Ram and Rahim
- Peter, Shyam and Rahim
- Kavita, David and Shyam
- Fiza, David and Ram
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
(a) Invalid: Ram ⇒ Peter must be there (Peter missing).
(b) Valid: Shyam with Rahim satisfies the pair condition, Peter allowed, no conflicts.
(c) Invalid: Kavita ⇒ David required (missing David).
(d) Invalid: David ⇒ Fiza (already there) but Ram ⇒ Peter needed (missing Peter).
(b) Valid: Shyam with Rahim satisfies the pair condition, Peter allowed, no conflicts.
(c) Invalid: Kavita ⇒ David required (missing David).
(d) Invalid: David ⇒ Fiza (already there) but Ram ⇒ Peter needed (missing Peter).
Was this answer helpful?
0
0
Question: 2
Which of the following is a feasible group of four?
Which of the following is a feasible group of four?
Show Hint
Always check "paired presence" and "mutual exclusion" rules together.
Updated On: Aug 4, 2025
- Ram, Peter, Fiza and Rahim
- Shyam, Rahim, Kavita and David
- Shyam, Rahim, Fiza and David
- Fiza, David, Ram and Peter
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
(a) Invalid: Shyam not in group but Ram present ⇒ Peter ok but Rahim without Shyam? Violation (Rahim ⇒ Shyam).
(b) Invalid: Kavita ⇒ David ok, but Rahim without Shyam? Here Shyam present so Rahim ok, but David ⇒ Fiza missing.
(c) Valid: Shyam with Rahim ok, David ⇒ Fiza present, no rule broken.
(d) Invalid: Ram ⇒ Peter ok, David ⇒ Fiza ok, but David with Peter? Violates David not with Peter rule.
(b) Invalid: Kavita ⇒ David ok, but Rahim without Shyam? Here Shyam present so Rahim ok, but David ⇒ Fiza missing.
(c) Valid: Shyam with Rahim ok, David ⇒ Fiza present, no rule broken.
(d) Invalid: Ram ⇒ Peter ok, David ⇒ Fiza ok, but David with Peter? Violates David not with Peter rule.
Was this answer helpful?
0
0
Question: 3
Which of the following statements is true?
Which of the following statements is true?
Show Hint
To test truth statements, try constructing an example satisfying all constraints — one valid example proves possibility.
Updated On: Aug 4, 2025
- Kavita and Ram can be part of a group of four
- A group of four can have two women
- A group of four can have all four men
- None of these
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Two women = Fiza + Kavita possible if David included (Kavita's condition) and Fiza's rule with David satisfied. Example: Fiza, Kavita, David, Peter is valid.
(a) Invalid: Ram ⇒ Peter, Kavita ⇒ David, both ⇒ 5 members needed.
(c) Invalid: All men conflicts with Shyam–Rahim pair and Ram–Peter conditions.
(a) Invalid: Ram ⇒ Peter, Kavita ⇒ David, both ⇒ 5 members needed.
(c) Invalid: All men conflicts with Shyam–Rahim pair and Ram–Peter conditions.
Was this answer helpful?
0
0
Top Questions on Logical Reasoning
- If \( 3 \times 4 = 25 \), \( 5 \times 2 = 27 \), \( 6 \times 3 = 39 \), then what is \( 7 \times 5 = ? \)
- CUET (UG) - 2025
- General Aptitude
- Logical Reasoning
- Find the next term in the series: 3, 6, 11, 18, 27, ?
- CUET (UG) - 2025
- General Aptitude
- Logical Reasoning
- In a certain code language, "MOTHER" is coded as "OMHTRE". What will be the code for "FATHER"?
- CUET (UG) - 2025
- General Aptitude
- Logical Reasoning
- If $6 + 2 = 16$, $7 + 3 = 22$, then $8 + 4 = ?$
- CUET (UG) - 2025
- General Aptitude
- Logical Reasoning
- A cube is painted on all sides. It is then cut into 64 smaller cubes of equal size. How many smaller cubes have exactly two painted faces?
- CUET (UG) - 2025
- General Aptitude
- Logical Reasoning
View More Questions
Questions Asked in CAT exam
- ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm, and E is the midpoint of side CD. Then, the length, in cm, of radius of incircle of \(\triangle ADE\) is
- CAT - 2024
- Mensuration
- Two places A and B are 45 kms apart and connected by a straight road. Anil goes from A to B while Sunil goes from B to A. Starting at the same time, they cross each other in exactly 1 hour 30 minutes. If Anil reaches B exactly 1 hour 15 minutes after Sunil reaches A, the speed of Anil, in km per hour, is
- CAT - 2024
- Time, Speed and Distance
- The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had been sold for 5 rupees less, then the resulting profit would have been 50%. The original selling price, in rupees, of the product is
- CAT - 2024
- Profit and Loss
- Suppose $x_1, x_2, x_3, \dots, x_{100}$ are in arithmetic progression such that $x_5 = -4$ and $2x_6 + 2x_9 = x_{11} + x_{13}$. Then, $x_{100}$ equals ?
- CAT - 2024
- Arithmetic Progression
- A circular plot of land is divided into two regions by a chord of length $10\sqrt{3}$ meters such that the chord subtends an angle of $120^\circ$ at the center. Then, the area, in square meters, of the smaller region is
- CAT - 2024
- Mensuration
View More Questions