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SET 1 — 🔍 CAT Level
Each of the five friends – Aaradhya, Manya, Vindhya, Sahasra and Tripura – buys a different number of pens and pencils. Some of them also buy an eraser. The number of pens bought are 2, 8, 10, 12 and 16, while the number of pencils bought are 0, 2, 4, 8 and 12, both not necessarily in the same order. The following additional information is known:
The number of pencils bought by Aaradhya is three times the number of pencils bought by the girl who bought eight pens.
Sahasra buys some pens, pencils and an eraser.
The girl who buys two pens does not buy pencils or an eraser, but she is not Manya.
Three girls, including the one who buys eight pencils, do not buy an eraser.
Vindhya buys four more pens than Aaradhya does, and Aaradhya buys four more pencils than Vindhya does.
Tripura does not buy an eraser.
Manya, who does not buy an eraser, buys half as many pencils as the girl who buys twice as many pens as Manya does.
Question 1
Which of the following statements is true?
A. Tripura buys four pencils.
B. Manya buys eight pencils.
C. Aaradhya buys twelve pencils.
D. Vindhya buys two pencils.
Question 2
Which of the following statements is true?
A. The girl who buys 8 pens and 4 pencils also buys an eraser.
B. The girl who buys 10 pens and 2 pencils does not buy an eraser.
C. Manya buys 16 pens and 8 pencils but does not buy an eraser.
D. The girl who buys equal number of pencils and pens also buys an eraser.
Question 3
Which of the following statements is false?
A. Vindhya buys twice as many pens as pencils.
B. Aaradhya buys an equal number of pens and pencils.
C. The girl who buys two pencils does not buy an eraser.
D. Sahasra buys a total of 13 stationery items.
Question 4
What is the total number of pens and pencils bought by Vindhya?
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✅ Answers & Explanations
Using the final arrangement:
Girl | Pens | Pencils | Eraser |
|---|---|---|---|
Aaradhya | 12 | 12 | Yes |
Manya | 8 | 4 | No |
Vindhya | 16 | 8 | No |
Sahasra | 10 | 2 | Yes |
Tripura | 2 | 0 | No |
1. Which of the following statements is true?
A. Tripura buys four pencils ❌ — she buys 0.
B. Manya buys eight pencils ❌ — she buys 4.
C. Aaradhya buys twelve pencils ✅
D. Vindhya buys two pencils ❌ — she buys 8.
✅ Answer: C — Aaradhya buys twelve pencils
2. Which of the following statements is true?
A. 8 pens + 4 pencils = Manya, who does not buy an eraser ❌
B. 10 pens + 2 pencils = Sahasra, who does buy an eraser ❌
C. Manya does not buy 16 pens and 8 pencils ❌
D. Aaradhya buys equal numbers of pens and pencils (12 each) and also buys an eraser ✅
✅ Answer: D
3. Which of the following statements is false?
A. Vindhya: 16 pens and 8 pencils → pens are twice pencils ✅
B. Aaradhya: 12 pens and 12 pencils → equal ✅
C. Girl with 2 pencils = Sahasra, and she does buy an eraser ❌
D. Sahasra buys 10 pens + 2 pencils + 1 eraser = 13 stationery items ✅
✅ Answer: C
4. Total number of pens and pencils bought by Vindhya
Vindhya buys:
16 pens + 8 pencils = 24
✅ Answer: 24
Final Answers
1. C
2. D
3. C
4. 24
⚡ 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!



