CAT 2024 Slot 2 QA
Quantitative Ability · 22 questions · 40 minutes · +3 / −1 (no negative marking on type-in answers)
Questions
- Q1. When 3^{333} is divided by 11 , the remainder is
- Q2. If x and y satisfy the equations |x|+x+y=15 and x+|y|-y=20, then (x-y) equals
- Q3. If m and n are natural numbers such that n>1, and m^n=2^{25} \times 3^{40}, then m-n equals
- Q4. A function f maps the set of natural numbers to whole numbers, such that f(x y)=f(x) f(y)+f(x)+f(y) for all x,…
- Q5. A B C D is a trapezium in which A B is parallel to C D. The sides A D and B C when extended, intersect at poin…
- Q6. Amal and Vimal together can complete a task in 150 days, while Vimal and Sunil together can complete the same …
- Q7. Bina incurs 19% loss when she sells a product at Rs. 4860 to Shyam, who in turn sells this product to Hari. If…
- Q8. The sum of the infinite series \frac{1}{5}\left(\frac{1}{5}-\frac{1}{7}\right)+\left(\frac{1}{5}\right)^2\left…
- Q9. If a, b and c are positive real numbers such that a>10 \geq b \geq c and \frac{\log _8(a+b)}{\log _2 c}+\fr…
- Q10. A company has 40 employees whose names are listed in a certain order. In the year 2022, the average bonus of t…
- Q11. P, Q, R and S are four towns. One can travel between P and Q along 3 direct paths, between Q and S along 4 dir…
- Q12. A fruit seller has a stock of mangoes, bananas and apples with at least one fruit of each type. At the beginni…
- Q13. If (x+6 \sqrt{2})^{\frac{1}{2}}-(x-6 \sqrt{2})^{\frac{1}{2}}=2 \sqrt{2}, then x equals
- Q14. The coordinates of the three vertices of a triangle are: (1, 2), (7, 2), and (1, 10). Then the radius of the i…
- Q15. Anil invests Rs 22000 for 6 years in a scheme with 4% interest per annum, compounded half-yearly. Separately, …
- Q16. The roots \alpha, \beta of the equation 3 x^2+\lambda x-1=0, satisfy \frac{1}{\alpha^2}+\frac{1}{\beta^2}=15. …
- Q17. A bus starts at 9 am and follows a fixed route every day. One day, it traveled at a constant speed of 60 km pe…
- Q18. Three circles of equal radii touch (but not cross) each other externally. Two other circles, X and Y, are draw…
- Q19. A vessel contained a certain amount of a solution of acid and water. When 2 litres of water was added to it, t…
- Q20. All the values of x satisfying the inequality \frac{1}{x+5} \leq \frac{1}{2 x-3} are
- Q21. If x and y are real numbers such that 4 x^2+4 y^2-4 x y-6 y+3=0, then the value of (4 x+5 y) is
- Q22. When Rajesh's age was same as the present age of Garima, the ratio of their ages was 3 : 2. When Garima's age …