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CAT 2022 Slot 2 QA Question Paper with Solutions PDF is available for free download. CAT 2022 QA slot 2 paper was rated to be of moderate difficulty. CAT 2022 slot 2 question paper for Quantitative Aptitude carried 14 MCQs and 8 non-MCQs. Similar to slot 3 paper, 9 questions were from Arithmetic and 7 from Algebra in slot 2. Students can check CAT 2022 Slot 2 QA Question Paper with Solutions PDF available here.
CAT 2022 Slot 2 QA Question Paper with Solutions PDF
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CAT Questions
1. The sum of the first two natural numbers, each having 15 factors (including 1 and the number itself), is
The sum of the first two natural numbers, each having 15 factors (including 1 and the number itself), is
- 348
- 412
- 468
- None of Above
2. If \(\sqrt{5x+9}\)+\(\sqrt{5x-9}\)=\(3(2-\sqrt2)\) then \(\sqrt{10x+9}\) is equal to
If \(\sqrt{5x+9}\)+\(\sqrt{5x-9}\)=\(3(2-\sqrt2)\) then \(\sqrt{10x+9}\) is equal to
- \(3\sqrt7\)
- \(4\sqrt5\)
- \(3\sqrt31\)
- \(2\sqrt7\)
3. For some positive real number \(x\) , if \(log_{\sqrt 3}(x)+\frac{log_x(25)}{log_x(0.008)}=\frac{16}{3}\), then the value of \(log_3(3x^2)\) is
For some positive real number \(x\) , if \(log_{\sqrt 3}(x)+\frac{log_x(25)}{log_x(0.008)}=\frac{16}{3}\), then the value of \(log_3(3x^2)\) is
- 4
- 6
- 7
- 9
4. Anil borrows Rs 2 lakhs at an interest rate of 8% per annum, compounded half-yearly. He repays Rs 10320 at the end of the first year and closes the loan by paying the outstanding amount at the end of the third year. Then, the total interest, in rupees, paid over the three years is nearest to
Anil borrows Rs 2 lakhs at an interest rate of 8% per annum, compounded half-yearly. He repays Rs 10320 at the end of the first year and closes the loan by paying the outstanding amount at the end of the third year. Then, the total interest, in rupees, paid over the three years is nearest to
- 33130
- 40991
- 51311
- 51311
5. A mixture P is formed by removing a certain amount of coffee from a coffee jar and replacing the same amount with cocoa powder and the same amount is again removed from P and replaced with the same amount of cocoa powder to form a mixture Q. If the ratio of coffee and cocoa in Q=16:9. Then the ratio of coca in with P:Q is?
A mixture P is formed by removing a certain amount of coffee from a coffee jar and replacing the same amount with cocoa powder and the same amount is again removed from P and replaced with the same amount of cocoa powder to form a mixture Q. If the ratio of coffee and cocoa in Q=16:9. Then the ratio of coca in with P:Q is?
1:3
4:9
1:2
5:9
6. If \(x\) is a positive real number such that \(x^8+\bigg(\frac{1}{x}\bigg)^8=47\) , then the value of \(x^9+\bigg(\frac{1}{x}\bigg)^9\) is
If \(x\) is a positive real number such that \(x^8+\bigg(\frac{1}{x}\bigg)^8=47\) , then the value of \(x^9+\bigg(\frac{1}{x}\bigg)^9\) is
- \(34\sqrt 5\)
- \(40\sqrt5\)
- \(36\sqrt5\)
- \(30\sqrt5\)
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