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📌 Section 1 is Logical reasoning specially designed for CAT
SET 1 — 🔍 CAT Level
Each of the five students – Anil, Sunil, Pavan, Naveen and Sravan – appeared for an exam consisting of five questions. Each question has five answer choices A, B, C, D and E, and only one of them is the correct answer choice. The answers given by them are as follows:
Q.No. | Anil | Sunil | Pavan | Naveen | Sravan |
|---|---|---|---|---|---|
1 | B | C | D | B | C |
2 | A | D | B | A | C |
3 | C | A | D | A | D |
4 | A | B | C | — | A |
5 | E | B | B | E | C |
Four marks are awarded for each correct answer while one mark is deducted for every wrong answer. No marks are awarded or deducted for questions that are not attempted.
Further, it is known that:
i. Naveen did not attempt the fourth question and the total score of Anil is zero.
ii. Only one student answered the first question correctly, only one student answered the second question correctly, two students answered the third question correctly, only one student answered the fourth question correctly while two students answered the fifth question correctly.
iii. Naveen’s score is the highest among the five students and choice (A) is the correct answer for exactly one question.
iv. The number of questions for which the correct answer choice is (B) is the maximum.
Question 1
Who scored the lowest number of marks?
A. Anil
B. Sunil
C. Pavan
D. Sravan
Question 2
Which pair of students scored the same number of marks?
A. Pavan and Sravan
B. Anil and Sunil
C. Anil and Sravan
D. Pavan and Sunil
Question 3
What is the total marks scored by Naveen?
A. 6
B. 7
C. 5
D. Cannot be determined
Question 4
What is the difference between the highest score and the lowest score?
A. 6
B. 11
C. 5
D. 9
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✅ Answers & Explanations
It is given that five students – Anil, Sunil, Pavan, Naveen and Sravan answered five questions. Each question has five answer choices A, B, C, D and E.
Q.No. | Anil | Sunil | Pavan | Naveen | Sravan |
|---|---|---|---|---|---|
1 | B | C | D | B | C |
2 | A | D | B | A | C |
3 | C | A | D | A | D |
4 | A | B | C | – | A |
5 | E | B | B | E | C |
As only one student answered the first question correctly, the correct choice for the first question cannot be B or C. Hence, the correct choice for the first question is D, and that is correctly marked by Pavan.
As only one student answered the second question correctly, the correct choice for the second question cannot be A. The correct choice is B or C or D.
As two students answered the third question correctly, the correct answer is either A or D.
As only one student answered the fourth question correctly, the correct answer is not A; it is either B or C.
As two students answered the fifth question correctly, the correct answer is either B or E.
From (iii), the correct choice for the third question is A.
As Naveen scored the maximum marks, the correct choice for the fifth question is E.
From (iv), the correct choice for the second and fourth questions is B.
Correct Answer Key
Q.No. | Correct Choice | Correctly Marked By |
|---|---|---|
1 | D | Pavan |
2 | B | Pavan |
3 | A | Sunil, Naveen |
4 | B | Sunil |
5 | E | Anil, Naveen |
Therefore, the correct answer sequence is:
D – B – A – B – E
Marks Scored
Student | Questions Attempted | Correct | Wrong | Net Score |
|---|---|---|---|---|
Anil | 5 | 1 | 4 | 0 |
Sunil | 5 | 2 | 3 | 5 |
Pavan | 5 | 2 | 3 | 5 |
Naveen | 4 | 2 | 2 | 6 |
Sravan | 5 | 0 | 5 | −5 |
Final Answers
1️⃣ D — Sravan
2️⃣ D — Pavan and Sunil
3️⃣ A — 6
4️⃣ B — 11
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