Question:
A Venn diagram shows students studying Physics (P), Chemistry (C), and Biology (B):
- P only: 10, C only: 15, B only: 20
- P and C only: 5, P and B only: 8, C and B only: 7
- All three: 5
How many students study at least one subject?
A Venn diagram shows students studying Physics (P), Chemistry (C), and Biology (B):
- P only: 10, C only: 15, B only: 20
- P and C only: 5, P and B only: 8, C and B only: 7
- All three: 5
How many students study at least one subject?
- P only: 10, C only: 15, B only: 20
- P and C only: 5, P and B only: 8, C and B only: 7
- All three: 5
How many students study at least one subject?
Show Hint
For Venn diagrams, sum all regions to find the total number of elements.
Updated On: Jul 29, 2025
- 60
- 65
- 70
- 75
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
- Step 1: Sum all categories: $10 + 15 + 20 + 5 + 8 + 7 + 5 = 70$.
- Step 2: This represents students studying at least one subject.
- Step 3: Verify: Each student is counted once in the Venn diagram.
- Step 4: Check options: Option (3) is 70.
- Step 5: Confirm no double-counting in exclusive categories.
- Step 6: Option (3) is correct.
- Step 2: This represents students studying at least one subject.
- Step 3: Verify: Each student is counted once in the Venn diagram.
- Step 4: Check options: Option (3) is 70.
- Step 5: Confirm no double-counting in exclusive categories.
- Step 6: Option (3) is correct.
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
- 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
- For some constant real numbers p, k and a, consider the following system of linear equations in x and y:
px - 4y = 2
3x + ky = a
A necessary condition for the system to have no solution for (x, y), is- CAT - 2024
- System of Linear Equations
- When 3333 is divided by 11, the remainder is
- CAT - 2024
- Divisibility and Remainder
- Five jumbled up sentences (labelled 1, 2, 3, 4 and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence and key in the number of that sentence as your answer.
- CAT - 2024
- Para Jumbles
- The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
Scientific research shows that many animals are very intelligent and have sensory and motor abilities that dwarf ours. Dogs are able to detect diseases such as cancer and diabetes and warn humans of impending heart attacks and strokes. Elephants, whales, hippopotamuses, giraffes, and alligators use low-frequency sounds to communicate over long distances, often miles. Many animals also display wide-ranging emotions, including joy, happiness, empathy, compassion, grief, and even resentment and embarrassment. It’s not surprising that animals share many emotions with us because we also share brain structures, located in the limbic system, that are the seat of our emotions.- CAT - 2024
- Para Summary
View More Questions