CAT 2018 Slot 1 QA

Quantitative Ability · 34 questions · 60 minutes · +3 / −1 (no negative marking on type-in answers)

Questions

Q1. A trader sells 10 litres of a mixture of paints A and B, where the amount of B in the mixture does not exceed …
Q2. In a circle with centre O and radius 1 cm, an arc AB makes an angle 60 degrees at O. Let R be the region bound…
Q3. If f(x + 2) = f(x) + f(x + 1) for all positive integers x, and f(11) = 91, f(15) = 617, then f(10) equals. [TI…
Q4. The distance from A to B is 60 km. Partha and Narayan start from A at the same time and move towards B. Partha…
Q5. A CAT aspirant appears for a certain number of tests. His average score increases by 1 if the first 10 tests a…
Q6. Two types of tea, A and B, are mixed and then sold at Rs. 40 per kg. The profit is 10% if A and B are mixed in…
Q7. A wholesaler bought walnuts and peanuts, the price of walnut per kg being thrice that of peanut per kg. He the…
Q8. When they work alone, B needs 25% more time to ﬁnish a job than A does. They two ﬁnish the job in 13 days in t…
Q9. Given an equilateral triangle T1 with side 24 cm, a second triangle T2 is formed by joining the midpoints of t…
Q10. While multiplying three real numbers, Ashok took one of the numbers as 73 instead of 37. As a result, the prod…
Q11. If x is a positive quantity such that 2 x = 3 log 5 2 , then x is equal to
Q12. If log 12 81 = p, then 3(\frac{4 - p}{4 + p}) is equal to:
Q13. A right circular cone, of height 12 ft, stands on its base which has diameter 8 ft. The tip of the cone is cut…
Q14. How many numbers with two or more digits can be formed with the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 so that i…
Q15. John borrowed Rs. 2,10,000 from a bank at an interest rate of 10% per annum, compounded annually. The loan was…
Q16. If u 2 + (u−2v−1) 2 = −4v(u + v), then what is the value of u + 3v?
Q17. Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and m…
Q18. Let ABCD be a rectangle inscribed in a circle of radius 13 cm. Which one of the following pairs can represent,…
Q19. In an examination, the maximum possible score is N while the pass mark is 45% of N. A candidate obtains 36 mar…
Q20. Let x, y, z be three positive real numbers in a geometric progression such that x < y < z. If 5x, 16y, a…
Q21. The number of integers x such that 0.25 < 2 x < 200, and 2 x + 2 is perfectly divisible by either 3 or 4…
Q22. Each of 74 students in a class studies at least one of the three subjects H, E and P. Ten students study all t…
Q23. Train T leaves station X for station Y at 3 pm. Train S, traveling at three quarters of the speed of T, leaves…
Q24. Points E, F, G, H lie on the sides AB, BC, CD, and DA, respectively, of a square ABCD. If EFGH is also a squar…
Q25. Given that x 2018 y 2017 = 1/2 and x 2016 y 2019 = 8, the value of x 2 + y 3 is
Q26. Raju and Lalitha originally had marbles in the ratio 4 : 9. Then Lalitha gave some of her marbles to Raju. As …
Q27. If log 2 (5 + log 3 a) = 3 and log 5 (4a + 12 + log 2 b) = 3, then a + b is equal to
Q28. Humans and robots can both perform a job but at diﬀerent eﬃciencies. Fifteen humans and ﬁve robots working tog…
Q29. In a parallelogram ABCD of area 72 sq cm, the sides CD and AD have lengths 9 cm and 16 cm, respectively. Let P…
Q30. In a circle, two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm. If the distance be…
Q31. A tank is fitted with pipes, some filling it and the rest draining it. All filling pipes fill at the same rate…
Q32. If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger ca…
Q33. Let f(x)=min{2x 2 , 52 - 5x}, where x is any positive real number.Then the maximum possible value of f(x) is […
Q34. In an apartment complex, the number of people aged 51 years and above is 30 and there are at most 39 people wh…