CAT 2017 Slot 2 QA
Quantitative Ability · 34 questions · 60 minutes · +3 / −1 (no negative marking on type-in answers)
Questions
- Q1. The numbers 1, 2,..., 9 are arranged in a 3 X 3 square grid in such a way that each number occurs once and the…
- Q2. In a 10 km race. A, B, and C, each running at uniform speed, get the gold, silver, and bronze medals, respecti…
- Q3. Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water…
- Q4. Arun drove from home to his hostel at 60 miles per hour. While returning home he drove half way along the same…
- Q5. Out of the shirts produced in a factory, 15% are defective, while 20% of the rest are sold in the domestic mar…
- Q6. The average height of 22 toddlers increases by 2 inches when two of them leave this group. If the average heig…
- Q7. The manufacturer of a table sells it to a wholesale dealer at a profit of 10%. The wholesale dealer sells the …
- Q8. A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty …
- Q9. Mayank buys some candies for Rs 15 a dozen and an equal number of different candies for Rs 12 a dozen. He sell…
- Q10. In a village, the production of food grains increased by 40% and the per capita production of food grains incr…
- Q11. If a, b, c are three positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio…
- Q12. A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm …
- Q13. Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complet…
- Q14. Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and …
- Q15. Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one …
- Q16. The base of a vertical pillar with uniform cross section is a trapezium whose parallel sides are of lengths 10…
- Q17. The points (2, 5) and (6, 3) are two end points of a diagonal of a rectangle. If the other diagonal has the eq…
- Q18. ABCD is a quadrilateral inscribed in a circle with centre O. If ∠COD = 120 degrees and ∠BAC = 30 degrees, then…
- Q19. If three sides of a rectangular park have a total length 400 ft., then the area of the park is maximum when th…
- Q20. Let P be an interior point of a right-angled isosceles triangle ABC with hypotenuse AB. If the perpendicular d…
- Q21. If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers i…
- Q22. If x is a real number such that log 3 5 = log 5 (2 + x), then which of the following is true?
- Q23. Let f(x) = x 2 and g(x) = 2 x , for all real x. Then the value of f(f(g(x)) + g(f(x))) at x = 1 is
- Q24. The minimum possible value of the sum of the squares of the roots of the equation x 2 + (a + 3)x - (a + 5) = 0…
- Q25. If 9 x - (\frac{1}{2}) – 2 2x – 2 = 4 x – 3 2x – 3 , then x is
- Q26. If log(2 a × 3 b × 5 c ) is the arithmetic mean of log(2 2 × 3 3 × 5), log(2 6 × 3 × 5 7 ), and log(2 × 3 2 × …
- Q27. Let a 1 , a 2 , a 3 , a 4 , a 5 be a sequence of five consecutive odd numbers. Consider a new sequence of five…
- Q28. How many different pairs (a, b) of positive integers are there such that a ≤ b and \frac{1}{a} + \frac{1}{b} =…
- Q29. In how many ways can 8 identical pens be distributed among Amal, Bimal, and Kamal so that Amal gets at least 1…
- Q30. How many four digit numbers, which are divisible by 6, can be formed using the digits 0, 2, 3, 4, 6, such that…
- Q31. If f(ab) = f(a)f(b) for all positive integers a and b, then the largest possible value of f(1) is [TITA]
- Q32. Let f(x) = 2x – 5 and g(x) = 7 – 2x. Then |f(x) + g(x)| = |f(x)| + |g(x)| if and only if
- Q33. An infinite geometric progression a 1 , a 2 , a 3 ,... has the property that a n = 3(a n+1 + a n+2 +....) for …
- Q34. If a 1 = \frac{1}{2 × 5} , a 2 = \frac{1}{5 × 8} , a 3 = \frac{1}{8 × 11},...., then a 1 + a 2 + a 3 + ...... …