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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:For all possible integers n satisfying 2.25 ≤ 2 + 2n+2 ≤ 202, then the number of integer values of 3 + 3n+1  is:
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:Three positive integers x, y and z are in arithmetic progression. If y - x > 2y and xyz = 5(x + y + z), then z - x equals
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:For a 4-digit number, the sum of its digits in the thousands, hundreds and tens places is 14, the sum of its digits in the hundreds, tens and units places is 15, and the tens place digit is 4 more than the units place digit. Then the highest possible 4-digit number satisfying the above conditions is
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:Raj invested ₹ 10000 in a fund. At the end of first year, he incurred a loss but his balance was more than ₹ 5000. This balance, when invested for another year, grew and the percentage of growth in the second year was five times the percentage of loss in the first year. If the gain of Raj from the initial investment over the two year period is 35%, then the percentage of loss in the first year is
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3 children, such that each child gets at least four balloons and one pencil, is
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:Two trains A and B were moving in opposite directions, their speeds being in the ratio 5 : 3. The front end of A crossed the rear end of B 46 seconds after the front ends of the trains had crossed each other. It took another 69 seconds for the rear ends of the trains to cross each other. The ratio of length of train A to that of train B is
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:Suppose one of the roots of the equation ax2 − bx + c=0 is 2 + √3, Where a,b and c are rational numbers and a ≠ 0. If b = c3   then ∣a∣ equals.
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:From a container filled with milk, 9 litres of milk are drawn and replaced with water. Next, from the same container, 9 litres are drawn and again replaced with water. If the volumes of milk and water in the container are now in the ratio of 16 : 9, then the capacity of the container, in litres, is
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:If a rhombus has area 12 sq cm and side length 5 cm, then the length, in cm, of its longer diagonal is
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:If log2 [3+log3 {4 + log4 (x−1)}] − 2 = 0 then 4x equals
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:The sides AB and CD of a trapezium ABCD are parallel, with AB being the smaller side. P is the midpoint of CD and ABPD is a parallelogram. If the difference between the areas of the parallelogram ABPD and the triangle BPC is 10 sq cm, then the area, in sq cm, of the trapezium ABCD is
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:For all real values of x, the range of the function Quant For CAT 2021 (Slot - 2)is
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:For a sequence of real numbers x1 ,x2 ,...xn , If x1 − x2 + x3 −....+(−1)n+1xn = n2 +2n for all natural numbers n, then the sum x49 + x50 equals
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:For a real number x the condition 3x − 20∣ + ∣3x − 40∣ = 20 necessarily holds if
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:Anil can paint a house in 60 days while Bimal can paint it in 84 days. Anil starts painting and after 10 days, Bimal and Charu join him. Together, they complete the painting in 14 more days. If they are paid a total of ₹ 21000 for the job, then the share of Charu, in INR, proportionate to the work done by him, is
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:A box has 450 balls, each either white or black, there being as many metallic white balls as metallic black balls. If 40% of the white balls and 50% of the black balls are metallic, then the number of non-metallic balls in the box is
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:In a football tournament, a player has played a certain number of matches and 10 more matches are to be played. If he scores a total of one goal over the next 10 matches, his overall average will be 0.15 goals per match. On the other hand, if he scores a total of two goals over the next 10 matches, his overall average will be 0.2 goals per match. The number of matches he has played is
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:A person buys tea of three different qualities at ₹ 800, ₹ 500, and ₹ 300 per kg, respectively, and the amounts bought are in the proportion 2 : 3 : 5. She mixes all the tea and sells one-sixth of the mixture at ₹ 700 per kg. The price, in INR per kg, at which she should sell the remaining tea, to make an overall profit of 50%, is
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:Consider the pair of equations: x2 − xy − x = 22 and y2 − xy + y = 34. If x > y, then x -y equals
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:Let D and E be points on sides AB and AC, respectively, of a triangle ABC, such that AD : BD = 2 : 1 and AE : CE = 2 : 3. If the area of the triangle ADE is 8 sq cm, then the area of the triangle ABC, in sq cm, is
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:Anil, Bobby, and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil’s share of investment is 70%. His share of profit decreases by ₹ 420 if the overall profit goes down from 18% to 15%. Chintu’s share of profit increases by ₹ 80 if the overall profit goes up from 15% to 17%. The amount, in INR, invested by Bobby is
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Question for Quant For CAT 2021 (Slot - 2)
Try yourself:Two pipes A and B are attached to an empty water tank. Pipe A fills the tank while pipe B drains it. If pipe A is opened at 2 pm and pipe B is opened at 3 pm, then the tank becomes full at 10 pm. Instead, if pipe A is opened at 2 pm and pipe B is opened at 4 pm, then the tank becomes full at 6 pm. If pipe B is not opened at all, then the time, in minutes, taken to fill the tank is
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FAQs on Quant For CAT 2021 (Slot - 2)

1. What is the difficulty level of Quant section in CAT 2021?
Ans. The difficulty level of the Quant section in CAT 2021 can vary from moderate to challenging. The questions are designed to test the candidate's mathematical skills, logical reasoning, and problem-solving abilities. It is advisable for candidates to practice a wide range of quantitative problems to be well-prepared for the exam.
2. How many questions can be expected in the Quant section of CAT 2021?
Ans. The number of questions in the Quant section of CAT 2021 is expected to be around 26 to 28. However, it is important to note that the exact number of questions may vary from year to year. Candidates should allocate their time wisely to solve each question effectively within the given time limit.
3. What are the important topics to focus on for the Quant section in CAT 2021?
Ans. Some of the important topics to focus on for the Quant section in CAT 2021 include arithmetic, algebra, geometry, number system, time and distance, profit and loss, percentages, probability, and data interpretation. It is crucial for candidates to have a strong foundation in these topics and practice solving a variety of questions to improve their problem-solving abilities.
4. How can I improve my speed and accuracy in the Quant section of CAT 2021?
Ans. To improve speed and accuracy in the Quant section of CAT 2021, candidates can follow certain strategies. Firstly, they should practice solving a variety of quantitative problems regularly to enhance their problem-solving skills. Secondly, candidates can learn and implement shortcut techniques for calculations to save time. Additionally, time management during the exam is crucial, so candidates should allocate their time wisely to attempt all the questions. Lastly, analyzing and reviewing mock tests can help identify areas of improvement and focus on weak areas.
5. Are there any recommended books or study materials for the Quant section of CAT 2021?
Ans. There are several recommended books and study materials available for the Quant section of CAT 2021. Some popular ones include "How to Prepare for Quantitative Aptitude for CAT" by Arun Sharma, "Quantitative Aptitude for Competitive Examinations" by R.S. Aggarwal, and "Quantitative Aptitude for CAT" by Nishit K. Sinha. In addition to these books, candidates can also refer to online platforms and coaching materials specifically designed for CAT preparation. It is important to choose study materials that align with the syllabus and provide ample practice questions for effective preparation.
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