Content Writer | Updated On - Nov 6, 2024
CAT 2021 Question Paper with Answer Key PDFs along with solutions are available for all 3 slots. The total number of questions were reduced to 66 from 76. Hence, VARC had 24 questions, DILR had 20 questions, and QA had 22 questions. 50% of the questions were from Arithmetic. In CAT VARC, 16 questions were based on RCs.
CAT 2021 Question Paper and Answer Key
| Slot | Section | Question Paper | Answer Key | Solutions |
|---|---|---|---|---|
| Slot 1 Question Paper | Quant | Check Here | Check Here | Check Here |
| DILR | Check Here | Check Here | Check Here | |
| VARC | Check Here | Check Here | Check Here | |
| Slot 2 Question Paper | Quant | Check Here | Check Here | Check Here |
| DILR | Check Here | Check Here | Check Here | |
| VARC | Check Here | Check Here | Check Here | |
| Slot 3 Question Paper | Quant | Check Here | Check Here | Check Here |
| DILR | Check Here | Check Here | Check Here | |
| VARC | Check Here | Check Here | Check Here |
CAT 2021 Questions
1. If \(x\) and \(y\) are positive real numbers such that \(log_x(x^2+12)=4\) and \(3\;log_yx=1\),then \(x+y\) equals
If \(x\) and \(y\) are positive real numbers such that \(log_x(x^2+12)=4\) and \(3\;log_yx=1\),then \(x+y\) equals
- 11
- 20
- 10
- 68
3. In a company, 20% of the employees work in the manufacturing department. If the total salary obtained by all the manufacturing employees is one-sixth of the total salary obtained by all the employees in the company, then the ratio of the average salary obtained by the manufacturing employees to the average salary obtained by the non-manufacturing employees is
In a company, 20% of the employees work in the manufacturing department. If the total salary obtained by all the manufacturing employees is one-sixth of the total salary obtained by all the employees in the company, then the ratio of the average salary obtained by the manufacturing employees to the average salary obtained by the non-manufacturing employees is
- 6 : 5
- 4 : 5
- 5 : 4
- 5 : 6
4. A merchant purchases a cloth at a rate of Rs. 100 per meter and receives 5 cm length of cloth free for every 100 cm length of cloth purchased by him. He sells the same cloth at a rate of Rs.110 per meter but cheats his customers by giving 95 cm length of cloth for every 100 cm length of cloth purchased by the customers. If the merchant provides a 5% discount, the resulting profit earned by him is
A merchant purchases a cloth at a rate of Rs. 100 per meter and receives 5 cm length of cloth free for every 100 cm length of cloth purchased by him. He sells the same cloth at a rate of Rs.110 per meter but cheats his customers by giving 95 cm length of cloth for every 100 cm length of cloth purchased by the customers. If the merchant provides a 5% discount, the resulting profit earned by him is
- 9.7%
- 16%
- 4.2%
- 15.5%
5. Let \(\alpha\) and \(\beta\) be the two distinct roots of the equation of 2x2-6x+k=0, such that (\(\alpha+\beta\)) and \(\alpha\beta\) are the distinct roots of the equation x2+px+p=0, then, the value of 8(k-p) ?
Let \(\alpha\) and \(\beta\) be the two distinct roots of the equation of 2x2-6x+k=0, such that (\(\alpha+\beta\)) and \(\alpha\beta\) are the distinct roots of the equation x2+px+p=0, then, the value of 8(k-p) ?
*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.
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