# CAT 2019 Question Paper Slot 2 | CAT Quants

###### CAT Quantitative Aptitude | CAT 2019 Question Paper

The best questions to practice for CAT Exam are the actual CAT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. If you would like to take the same inside a testing engine (for Free) head out here: CAT Official Question Mocks. In CAT 2019 we saw some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts. Original CAT Question paper is the best place to start off your CAT prep practice. This page provides exactly that. To check out about 1000 CAT Level questions with detailed video solutions for free, go here: CAT Question Bank

1. #### CAT 2019 Question Paper Slot 2 - Logarithms

The real root of the equation 26x + 23x+2 - 21 = 0 is

1. -1
2. 1
3. 0
4. 10

6. #### CAT 2019 Question Paper Slot 2 - Number theory

How many factors of 24 × 35 × 104 are perfect squares which are greater than 1? [TITA]

7. #### CAT 2019 Question Paper Slot 2 - Geometry

Two circles, each of radius 4 cm, touch externally. Each of these two circles is touched externally by a third circle. If these three circles have a common tangent, then the radius of the third circle, in cm, is

11. #### CAT 2019 Question Paper Slot 2 - Geometry

Let A and B be two regular polygons having a and b sides, respectively. If b = 2a and each interior angle of B is 3/2 times each interior angle of A, then each interior angle, in degrees, of a regular polygon with a + b sides is [TITA]

12. #### CAT 2019 Question Paper Slot 2 - Speed, Time & distance

A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:01 am, every minute a motorcycle leaves A and moves towards B. Forty-five such motorcycles reach B by 11 am. All motorcycles have the same speed. If the cyclist had doubled his speed, how many motorcycles would have reached B by the time the cyclist reached B?

1. 22
2. 20
3. 15
4. 23

13. #### CAT 2019 Question Paper Slot 2 - Linear & quadratic equations

Let A be a real number. Then the roots of the equation x2 − 4x – log2A = 0 are real and distinct if and only if

23. #### CAT 2019 Question Paper Slot 2 - Ratios and proportions

The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2010, and in the ratio 3:4:3 in 2015. If Ramesh’s salary increased by 25% during 2010-2015, then the percentage increase in Rajesh’s salary during this period is closest to

1. 7
2. 8
3. 9
4. 10

24. #### CAT 2019 Question Paper Slot 2 - Mensuration

A man makes complete use of 405 cc of iron, 783 cc of aluminium, and 351 cc of copper to make a number of solid right circular cylinders of each type of metal. These cylinders have the same volume and each of these has radius 3 cm. If the total number of cylinders is to be kept at a minimum, then the total surface area of all these cylinders, in sq cm, is

1. 1044(4 + π)
2. 8464π
3. 928π
4. 1026(1 + π)

25. #### CAT 2019 Question Paper Slot 2 - Linear & quadratic equations

The quadratic equation x2 + bx + c = 0 has two roots 4a and 3a, where a is an integer. Which of the following is a possible value of b2 + c?

1. 3721
2. 549
3. 361
4. 427

26. #### CAT 2019 Question Paper Slot 2 - Number theory

In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of fifth and sixth digits. Then, the largest possible value of the fourth digit is [TITA]

27. #### CAT 2019 Question Paper Slot 2 - Profit & loss

Mukesh purchased 10 bicycles in 2017, all at the same price. He sold six of these at a profit of 25% and the remaining four at a loss of 25%. If he made a total profit of Rs. 2000, then his purchase price of a bicycle, in Rupees, was

1. 2000
2. 6000
3. 8000
4. 4000

28. #### CAT 2019 Question Paper Slot 2 - – Sequence & series

The number of common terms in the two sequences: 15, 19, 23, 27, ...... , 415 and 14, 19, 24, 29, ...... , 464 is

1. 20
2. 18
3. 21
4. 19

29. #### CAT 2019 Question Paper Slot 2 - Sequence & series

If (2n+1) + (2n+3) + (2n+5) + ... + (2n+47) = 5280 , then what is the value of 1+2+3+ ... +n ? [TITA]

30. #### CAT 2019 Question Paper Slot 2 - Mixtures

The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. Each of three vessels A, B, C contains 500 ml of salt solution of strengths 10%, 22%, and 32%, respectively. Now, 100 ml of the solution in vessel A is transferred to vessel B. Then, 100 ml of the solution in vessel B is transferred to vessel C. Finally, 100 ml of the solution in vessel C is transferred to vessel A. The strength, in percentage, of the resulting solution in vessel A is

1. 15
2. 12
3. 13
4. 14

31. #### CAT 2019 Question Paper Slot 2 - Exponents & Powers

If 5x – 3y = 13438 and 5x-1 + 3y+1 = 9686 , then x+y equals [TITA]

32. #### CAT 2019 Question Paper Slot 2 - Simple interest & Compound interest

Amal invests Rs 12000 at 8% interest, compounded annually, and Rs 10000 at 6% interest, compounded semi-annually, both investments being for one year. Bimal invests his money at 7.5% simple interest for one year. If Amal and Bimal get the same amount of interest, then the amount, in Rupees, invested by Bimal is [TITA]

33. #### CAT 2019 Question Paper Slot 2 - Profit & loss

A shopkeeper sells two tables, each procured at cost price p, to Amal and Asim at a profit of 20% and at a loss of 20%, respectively. Amal sells his table to Bimal at a profit of 30%, while Asim sells his table to Barun at a loss of 30%. If the amounts paid by Bimal and Barun are x and y, respectively, then (x −y) / p equals

1. 1
2. 1.2
3. 0.7
4. 0.50

34. #### CAT 2019 Question Paper Slot 2 - Work & time

John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime? [TITA]

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