CAT 2021 Slot 1 QA
Quantitative Ability · 22 questions · 40 minutes · +3 / −1 (no negative marking on type-in answers)
Questions
- Q1. f(x) = \frac{x^{2}+2 x-15}{x^{2}-7 x-18} is negative if and only if
- Q2. The number of integers n that satisfy the inequalities |n - 60| < |n - 100| < |n - 20| is
- Q3. Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice th…
- Q4. If 5 - \log _{10} \sqrt{1+x} + 4 \log _{10} \sqrt{1-x} = \log _{10} \frac{1}{\sqrt{1-x^{2}}} , then 100 x equa…
- Q5. A basket of 2 apples, 4 oranges and 6 mangoes costs the same as a basket of 1 apple, 4 oranges and 8 mangoes, …
- Q6. If the area of a regular hexagon is equal to the area of an equilateral triangle of side 12 cm, then the lengt…
- Q7. Onion is sold for 5 consecutive months at the rate of Rs 10, 20, 25, 25, and 50 per kg, respectively. A family…
- Q8. If r is a constant such that |x 2 - 4 x - 13| = r has exactly three distinct real roots, then the value of r i…
- Q9. Amal purchases some pens at ₹ 8 each. To sell these, he hires an employee at a fixed wage. He sells 100 of the…
- Q10. Anil invests some money at a fixed rate of interest, compounded annually. If the interests accrued during the …
- Q11. The strength of an indigo solution in percentage is equal to the amount of indigo in grams per 100 cc of water…
- Q12. Amar, Akbar and Anthony are working on a project. Working together Amar and Akbar can complete the project in …
- Q13. The number of groups of three or more distinct numbers that can be chosen from 1, 2, 3, 4, 5, 6, 7 and 8 so th…
- Q14. A circle of diameter 8 inches is inscribed in a triangle ABC where ∠ABC = 90°. If BC = 10 inches then …
- Q15. Suppose the length of each side of a regular hexagon ABCDEF is 2 cm. It T is the mid point of CD, then the len…
- Q16. Suppose hospital A admitted 21 less Covid infected patients than hospital B, and all eventually recovered. The…
- Q17. The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days. The amount Sita and …
- Q18. The natural numbers are divided into groups as (1), (2, 3, 4), (5, 6, 7, 8, 9), ….. and so on. Then, the sum o…
- Q19. Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works everyda…
- Q20. How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in th…
- Q21. Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faste…
- Q22. If x 0 = 1, x 1 = 2, and x n + 2 = \frac{1+x_{n+1}}{x_{n}}, n = 0, 1, 2, 3,..., then x 2021 is equal to?