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📌 Section 1 is Logical reasoning specially designed for CAT
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SET 1 — 🔍 CAT Level
The table below gives the number of votes obtained by four movies – Sholay, DDLJ, Mother India and Lagaan – in a poll to determine the greatest movie ever, according to people of different age groups. The movies are disguised in the table as A, B, C, and D, in no particular order.
Age group (years) | A | B | C | D |
|---|---|---|---|---|
Less than 18 | 270 | 190 | 245 | 190 |
18–30 | 320 | 220 | 280 | 165 |
31–45 | 160 | 210 | 225 | 235 |
Above 45 | 150 | 280 | 200 | 260 |
It is known that:
i. Among the people of the less than 18 years age group, Mother India secured the least number of votes.
ii. The difference between the total number of votes secured by DDLJ and Lagaan is 50.
Question 1
If it was known that Sholay was A, what can be said regarding the following two statements?
a. Mother India received the least number of votes in total.
b. DDLJ received the highest number of votes in total.
A. If statement (a) is true, then statement (b) is definitely true.
B. Only statement (a) is definitely true.
C. Only statement (b) is definitely true.
D. Both the statements are definitely true.
Question 2
If one of DDLJ or Lagaan received the highest number of votes in total, then which of the following statements is definitely true?
A. Sholay received the least number of votes in total.
B. Among the people of the 31–45 years age group, Sholay received the least number of votes.
C. Mother India received its lowest number of votes from the people of the 18–30 years age group.
D. None of the above.
Question 3
If it is known that the difference between the total number of votes secured by DDLJ and Mother India was the maximum possible, at least how many of the following statements are simultaneously true?
a. Among the people of the above 45 years age group Mother India got the highest number of votes.
b. DDLJ got its least number of votes from the people of the less than 18 years age group.
c. DDLJ got the highest number of votes in total.
d. Sholay got the highest number of votes from the people of any single age group.
e. Lagaan got a total of 900 votes.
A. 0
B. 1
C. 2
D. 3
Question 4
At most how many of the following statements can be simultaneously true?
a. Sholay got its least number of votes from the people of the above 45 years age group.
b. DDLJ got the highest number of votes in total.
c. Lagaan got its highest number of votes from the people of the 18–30 years age group.
d. Mother India did not get the least number of votes in total.
e. Sholay got more votes in total than Lagaan.
A. 1
B. 2
C. 3
D. 4
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✅ Answers & Explanations
Final Table
Case | DDLJ | Lagaan | MI | Sholay |
|---|---|---|---|---|
1(a) | A | C | B/D | D/B |
1(b) | C | A | B/D | D/B |
2(a) | B | C | D | A |
2(b) | C | B | D | A |
3(a) | D | A | B | C |
3(b) | A | D | B | C |
Set 1
The total number of votes for each disguised movie is:
A → 900
B → 900
C → 950
D → 850
As it is known that among the people of the less than 18 years age group, Mother India (MI) secured the least number of votes, Mother India can be either B or D (both have 190 votes).
Also, the difference between the total number of votes secured by DDLJ and Lagaan is 50.
This difference is possible between:
A and C (900 and 950)
B and C (900 and 950)
A and D (900 and 850)
Hence, the possible cases are:
Case 1(a)
A → DDLJ
C → Lagaan
B/D → Mother India
D/B → Sholay
Case 1(b)
C → DDLJ
A → Lagaan
B/D → Mother India
D/B → Sholay
Case 2(a)
B → DDLJ
C → Lagaan
D → Mother India
A → Sholay
Case 2(b)
C → DDLJ
B → Lagaan
D → Mother India
A → Sholay
Case 3(a)
D → DDLJ
A → Lagaan
B → Mother India
C → Sholay
Case 3(b)
A → DDLJ
D → Lagaan
B → Mother India
C → Sholay
Final Answers:
B. Only statement (a) is definitely true.
D. None of the above
C. 2
D. 4
⚡ Brain teasers are not just about getting the right answer — they train you to think differently under pressure.
Stay consistent with your daily practice, challenge your assumptions, and keep sharpening your reasoning skills.
See you in tomorrow’s challenge!