The last 8 days are left for CAT 2020 exam, and the aspirants must be anxious about D-Day. It is time to get on with the last-minute preparation for the exam. Each section of the exam requires a different approach to prepare. Thus for the qualitative analysis section, the last-minute preparation tips have been discussed here.

**Get here previous year question papers of CAT**

Quantitative analysis is a section in which the candidates have to strive to get accurate answers in the least possible time. Unlike DILR and VARC, this section can be completed in the least amount of time.

**How to complete the QA section in CAT in the least possible time:** While practicing for the QA section identify the questions that are based on the direct application for formulas. Solve these questions first. Then move to the questions that are based on the applications of concepts and are not so direct. The same pattern can be followed on the exam day.

**Do smart work:** In the last week before CAT, for the QA section figure out a smart strategy. Like when it comes to the selection of the questions select all the questions that can be solved easily and select the questions can not be solved at all. Do not waste time on the questions that cannot be solved, rather spend that time on maximum questions that can be solved. This strategy can be applied on the exam day to complete the QA section effectively.

** Practice and only practice: **QA section can only be mastered by practice. More practice more is the level of solving the questions with speed and accuracy. Candidates should solve 2 past year papers for QA section daily and along with it, practice mock tests. This will lead to an increase in speed, accuracy, and also the time management skills of the candidates.

** Revise the concepts and basics:** One last time, the candidates must go over the basic concepts and theory. The fresh memory of the mathematical concepts will allow the candidates to do well on the exam day.

** Do not chase any new concept:** In the last few days please do not start anything new. Starting anything new from the scratch might lead to confusion and lower self-confidence.

20 Quant Questions that were asked in past year CAT exam papers!

**Q1.** In a class, 60% of the students are girls and the rest are boys. There are 30 more girls than boys. If 68% of the students, including 30 boys, pass an examination, the percentage of the girls who do not pass is: (TITA question)

**Answer:** 20

**Q2.** Meena scores 40% in an examination and after review, even though her score is increased by 50%, she fails by 35 marks. If her post-review score is increased by 20%, she will have 7 marks more than the passing score. The percentage score needed for passing the examination is:

1. 60

2. 75

3. 80

4. 70 – Correct answer

**Q3.** Let x and y be positive real numbers such that log5 (x + y) + log5 (x − y) =3, and log2y − log2x = 1 − log2 3. Then xy equals:

1. 150 – Correct answer

2. 100

3. 25

4. 250

**Q4.** On selling a pen at 5% loss and a book at 15% gain, Karim gains Rs. 7. If he sells the pen at 5% gain and the book at 10% gain, he gains Rs. 13. What is the cost price of the book in Rupees?

1. 95

2. 100

3. 80 – Correct answer

4. 85

**Q5.** he product of the distinct roots of ∣x2 − x − 6∣ = x + 2 is

1. -16 – Correct answer

2. -8

3. -24

4. -4

**Q6.** Let S be the set of all points (x, y) in the x-y plane such that | x | + | y | ≤ 2 and | x | ≥1. Then, the area, in square units, of the region represented by S equals (TITA question)

**Answer: **2

**Q7. **Corners are cut off from an equilateral triangle T to produce a regular hexagon H. Then, the ratio of the area of H to the area of T is

1. 3 : 4

2. 2 : 3 – Correct answer

3. 5 : 6

4. 4 : 5

**Q8.** The number of the real roots of the equation 2cos (x ( x + 1 ) ) =2x + 2-x is

1. 1 – Correct answer

2. 0

3. 2

4. infinite

**Q9. **Three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job. If two machines can finish the job in 13 days, then how many men can finish the job in 13 days?

**Answer:** 13

**Q10. **If the rectangular faces of a brick have their diagonals in the ratio 3 : 2√3 : √15, then the ratio of the length of the shortest edge of the brick to that of its longest edge is

1. 2:**√**5

2. 1:**√**3 – Correct answer

3. **√**2:**√**3

4. **√**3:2

**Q11.** Let T be the triangle formed by the straight line 3x + 5y – 45 = 0 and the coordinate axes. Let the circumcircle of T have a radius of length L, measured in the same unit as the coordinate axes. Then, the integer closest to L is: (TITA question)

**Answer: **9

**Q12: **AB is a diameter of a circle of radius 5 cm. Let P and Q be two points on the circle so that the length of PB is 6 cm, and the length of AP is twice that of AQ. Then the length,in cm, of QB is nearest to:

1. 9.3

2. 8.5

3. 9.1 – Correct answer

4. 7.8

**Q13. **A chemist mixes two liquids 1 and 2. One litre of liquid 1 weighs 1 kg and one litre of liquid 2 weighs 800 gm. If half litre of the mixture weighs 480 gm, then the percentage of liquid 1 in the mixture, in terms of volume, is

1. 70

2. 80 – Correct answer

3. 75

4. 85

**Q14.** The income of Amala is 20% more than that of Bimala and 20% less than that of Kamala. If Kamala’s income goes down by 4% and Bimala’s goes up by 10%, then the percentage by which Kamala’s income would exceed Bimala’s is nearest to

1. 28

2. 31 – Correct answer

3. 29

4. 32

**Q15.** For any positive integer n, let f(n) = n(n + 1) if n is even, and f(n) = n + 3 if n is odd.If m is a positive integer such that 8f(m + 1) – f(m) = 2, then m equals (TITA question)

Answer: 10

**Q16.** Ramesh and Gautam are among 22 students who write an examination. Ramesh scores 82.5. The average score of the 21 students other than Gautam is 62. The average score of all the 22 students is one more than the average score of the 21 students other than Ramesh. The score of Gautam is

1. 48

2. 53

3. 51 – Correct answer

4. 49

**Q17.** At their usual efficiency levels, A and B together finish a task in 12 days. If A had worked half as efficiently as she usually does, and B had worked thrice as efficiently as he usually does, the task would have been completed in 9 days. How many days would A take to finish the task if she works alone at her usual efficiency?

1. 18 – Correct answer

2. 12

3. 36

4. 24

**Q18. **Amala, Bina, and Gouri invest money in the ratio 3 : 4 : 5 in fixed deposits having respective annual interest rates in the ratio 6 : 5 : 4. What is their total interest income(in Rs) after a year, if Bina’s interest income exceeds Amala’s by Rs 250?

1. 7250 – Correct answer

2. 6350

3. 7000

4. 6000

**Q19.** In a circle of radius 11 cm, CD is a diameter and AB is a chord of length 20.5 cm. If AB and CD intersect at a point E inside the circle and CE has length 7 cm, then the difference of the lengths of BE and AE, in cm, is

1. 3.5

2. 1.5

3. 0.5 – Correct answer

4. 2.5

**Q20.** The product of two positive numbers is 616. If the ratio of the difference of their cubes to the cube of their difference is 157:3, then the sum of the two numbers is

1. 85

2. 50 – Correct answer

3. 95

4. 58

The Common Admission Test (CAT) will be held in 3 shifts this year. Additionally, the time duration to complete the exam has been reduced from 3 hours to 2 hours. There will be as usual 3 sections in the exam that are Verbal Ability and Reading Comprehension, Data Interpretation & Logical Reasoning, and Quantitative Aptitude. Each section will be allotted 40 minutes time duration.