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Mini Mock || CAT 2021 || 19 November

Attempt now to get your rank among 327 students!

Question 1

Direction: Read the given passage carefully. Choose the most appropriate option from the given alternatives which expresses the summary of the passage.
Apple has been criticized in recent years for releasing iterative updates of its most popular products. The iPhones 6, 6S, 7, and now 8 all look almost identical. The three versions of the Apple Watch have been the same. The device I Phone X comes with several upgrades over last year's iPhone 7 models, including improved performance with its A11 Bionic processor. It also has a new glass finish and is the first iPhone to support wireless charging. There had been hints that iPhone 8 demand was lower than previous models earlier this month, when the company started offering pre-orders on the iPhone 8. Days after pre-orders were offered, some iPhone 8 models were still available.

Question 2

Direction: Read the given passage carefully. Choose the most appropriate option from the given alternatives which expresses the summary of the passage.
Noting that start-up policy is important for economic growth, start-ups are the biggest job creators. We have to turn our youth into job givers not job seekers. Creating a start-up ecosystem is also important. The development of agriculture sector is a key priority area for the Centre. The government is encouraging organic farming across the country and he has sought suggestions in this regard from the public. Mr. Abhishek also said that Invest India — the national investment promotion agency — in the last one and a half years had promoted foreign investments to the tune of $70 billion, of which already $3.1 billion worth of investments had come into the country.

Question 3

Direction: Read the given passage carefully. Choose the most appropriate option from the given alternatives which expresses the summary of the passage.
India’s IT industry has warned about the adverse impact that curbs on outsourcing will have on the U.S. economy, which lacks high-skilled workers. The critical thing for this industry is high-skilled workers and the fact of the matter is that those high-skilled workers are not available in the U.S. If the agenda of creation of jobs needs to be pursued, we feel that current windows will need to be kept open to get the requisite skilled workers. The Indian IT industry provided services to American companies, which helped them to be competitive in the global market. In the U.S., the job creation engine is only corporate America. There is no other way that U.S. economy can generate jobs. And therefore, to keep corporate America fighting fit, ensure that it remains globally competitive, ensure continuous increase in productivity, these services are needed. If you need these services, you need skilled people.

Question 4

Direction: Read the given passage carefully. Choose the most appropriate option from the given alternatives which expresses the summary of the passage.
Chinese products will be, predictably, fiercely price-competitive. And India is the first market they will target in a big way under their own brand name. These companies usually make their money by making phones for better-known brands. One little known Chinese brand has already entered India — iVoomi launched four smartphone models a few days back. “Original equipment makers or even original design making companies that have been so far confined to China, such as Tinno, Malata and Huaqin, are also preparing to come to India because China’s market itself has slowed down.

Question 5

Direction: Read the given passage carefully. Choose the most appropriate option from the given alternatives which expresses the summary of the passage.
Consumer awareness is important because it increases a current or potential customer's knowledge about a product or service, allowing her to make a more informed purchase. Increasing consumer awareness also allows business owners to share background information about their organizations, their values and their practices. Business owners increase consumer awareness by employing a wide range of marketing techniques designed to provide consumers with as much positive information about their company as possible. If an organization consistently produces high-quality products, has high safety standards and provides top-notch customer service, it benefits it to make the public aware of these values through commercials, billboards or social media campaigns. When a company associates itself with specific positive values, customers feel more confident making purchases.

Question 6

A farmer had a rectangular land containing 205 trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve plots along three rows (X,Y,Z) and four Columns (1,2,3,4) as shown in the figure below:


The plots in rows X, Y, Z contained mango, teak and pine trees respectively. Each plot had trees in non-zero multiples of 3 or 4 and none of the plots had the same number of trees. Each daughter got an even number of plots. In the figure, the number mentioned in top left corner of a plot is the number of trees in that plot, while the letter in the bottom right corner is the first letter of the name of the daughter who got that plot (For example, Abha got the plot in row Y and column 1 containing 21 trees). Some information in the figure got erased, but the following is known:


1. Abha got 20 trees more than Chitra but 6 trees less than Dipti.


2. The largest number of trees in a plot was 32, but it was not with Abha.


3. The number of teak trees in Column 3 was double of that in Column 2 but was half of that


in Column 4


4. Both Abha and Bina got a higher number of plots than Dipti.


5. Only Bina, Chitra and Dipti got corner plots.


6. Dipti got two adjoining plots in the same row.


7. Bina was the only one who got a plot in each row and each column.


8. Chitra and Dipti did not get plots which were adjacent to each other (either in row / column /diagonal).


9. The number of mango trees was double the number of teak trees.

Which of the following is the correct sequence of trees received by Abha, Bina, Chitra and Dipti in that order?


Question 7

A farmer had a rectangular land containing 205 trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve plots along three rows (X,Y,Z) and four Columns (1,2,3,4) as shown in the figure below:


The plots in rows X, Y, Z contained mango, teak and pine trees respectively. Each plot had trees in non-zero multiples of 3 or 4 and none of the plots had the same number of trees. Each daughter got an even number of plots. In the figure, the number mentioned in top left corner of a plot is the number of trees in that plot, while the letter in the bottom right corner is the first letter of the name of the daughter who got that plot (For example, Abha got the plot in row Y and column 1 containing 21 trees). Some information in the figure got erased, but the following is known:


1. Abha got 20 trees more than Chitra but 6 trees less than Dipti.


2. The largest number of trees in a plot was 32, but it was not with Abha.


3. The number of teak trees in Column 3 was double of that in Column 2 but was half of that


in Column 4


4. Both Abha and Bina got a higher number of plots than Dipti.


5. Only Bina, Chitra and Dipti got corner plots.


6. Dipti got two adjoining plots in the same row.


7. Bina was the only one who got a plot in each row and each column.


8. Chitra and Dipti did not get plots which were adjacent to each other (either in row / column /diagonal).


9. The number of mango trees was double the number of teak trees.

How many pine trees did Chitra receive?

Question 8

A farmer had a rectangular land containing 205 trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve plots along three rows (X,Y,Z) and four Columns (1,2,3,4) as shown in the figure below:


The plots in rows X, Y, Z contained mango, teak and pine trees respectively. Each plot had trees in non-zero multiples of 3 or 4 and none of the plots had the same number of trees. Each daughter got an even number of plots. In the figure, the number mentioned in top left corner of a plot is the number of trees in that plot, while the letter in the bottom right corner is the first letter of the name of the daughter who got that plot (For example, Abha got the plot in row Y and column 1 containing 21 trees). Some information in the figure got erased, but the following is known:


1. Abha got 20 trees more than Chitra but 6 trees less than Dipti.


2. The largest number of trees in a plot was 32, but it was not with Abha.


3. The number of teak trees in Column 3 was double of that in Column 2 but was half of that


in Column 4


4. Both Abha and Bina got a higher number of plots than Dipti.


5. Only Bina, Chitra and Dipti got corner plots.


6. Dipti got two adjoining plots in the same row.


7. Bina was the only one who got a plot in each row and each column.


8. Chitra and Dipti did not get plots which were adjacent to each other (either in row / column /diagonal).


9. The number of mango trees was double the number of teak trees.

Who got the plot with the smallest number of trees and how many trees did that plot have?

Question 9

A farmer had a rectangular land containing 205 trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve plots along three rows (X,Y,Z) and four Columns (1,2,3,4) as shown in the figure below:


The plots in rows X, Y, Z contained mango, teak and pine trees respectively. Each plot had trees in non-zero multiples of 3 or 4 and none of the plots had the same number of trees. Each daughter got an even number of plots. In the figure, the number mentioned in top left corner of a plot is the number of trees in that plot, while the letter in the bottom right corner is the first letter of the name of the daughter who got that plot (For example, Abha got the plot in row Y and column 1 containing 21 trees). Some information in the figure got erased, but the following is known:


1. Abha got 20 trees more than Chitra but 6 trees less than Dipti.


2. The largest number of trees in a plot was 32, but it was not with Abha.


3. The number of teak trees in Column 3 was double of that in Column 2 but was half of that


in Column 4


4. Both Abha and Bina got a higher number of plots than Dipti.


5. Only Bina, Chitra and Dipti got corner plots.


6. Dipti got two adjoining plots in the same row.


7. Bina was the only one who got a plot in each row and each column.


8. Chitra and Dipti did not get plots which were adjacent to each other (either in row / column /diagonal).


9. The number of mango trees was double the number of teak trees.

Which of the following statements is NOT true?

Question 10

A farmer had a rectangular land containing 205 trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve plots along three rows (X,Y,Z) and four Columns (1,2,3,4) as shown in the figure below:


The plots in rows X, Y, Z contained mango, teak and pine trees respectively. Each plot had trees in non-zero multiples of 3 or 4 and none of the plots had the same number of trees. Each daughter got an even number of plots. In the figure, the number mentioned in top left corner of a plot is the number of trees in that plot, while the letter in the bottom right corner is the first letter of the name of the daughter who got that plot (For example, Abha got the plot in row Y and column 1 containing 21 trees). Some information in the figure got erased, but the following is known:


1. Abha got 20 trees more than Chitra but 6 trees less than Dipti.


2. The largest number of trees in a plot was 32, but it was not with Abha.


3. The number of teak trees in Column 3 was double of that in Column 2 but was half of that


in Column 4


4. Both Abha and Bina got a higher number of plots than Dipti.


5. Only Bina, Chitra and Dipti got corner plots.


6. Dipti got two adjoining plots in the same row.


7. Bina was the only one who got a plot in each row and each column.


8. Chitra and Dipti did not get plots which were adjacent to each other (either in row / column /diagonal).


9. The number of mango trees was double the number of teak trees.

Which column had the highest number of trees?

Question 11

A farmer had a rectangular land containing 205 trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve plots along three rows (X,Y,Z) and four Columns (1,2,3,4) as shown in the figure below:


The plots in rows X, Y, Z contained mango, teak and pine trees respectively. Each plot had trees in non-zero multiples of 3 or 4 and none of the plots had the same number of trees. Each daughter got an even number of plots. In the figure, the number mentioned in top left corner of a plot is the number of trees in that plot, while the letter in the bottom right corner is the first letter of the name of the daughter who got that plot (For example, Abha got the plot in row Y and column 1 containing 21 trees). Some information in the figure got erased, but the following is known:


1. Abha got 20 trees more than Chitra but 6 trees less than Dipti.


2. The largest number of trees in a plot was 32, but it was not with Abha.


3. The number of teak trees in Column 3 was double of that in Column 2 but was half of that


in Column 4


4. Both Abha and Bina got a higher number of plots than Dipti.


5. Only Bina, Chitra and Dipti got corner plots.


6. Dipti got two adjoining plots in the same row.


7. Bina was the only one who got a plot in each row and each column.


8. Chitra and Dipti did not get plots which were adjacent to each other (either in row / column /diagonal).


9. The number of mango trees was double the number of teak trees.

How many mango trees were there in total?

Question 12

The sides of triangle are 3 consecutive even integers with the largest side being less than 13. What is the total number of such triangles?

Question 13

The figure below shows two right angled triangles ∆OAB and ∆OP with right angles at vertex A and P, respectively, having the common vertex O, The lengths of some of the sides are indicated in the figure. (Note that the figure is not drawn to scale.) AB and OP are parallel. What is ∠QOB?

Question 14

ABC is a triangle with integer-valued sides AB = 1, BC >1, and CA >1. If D is the mid-point of AB, then, which of the following options is the closest to the maximum possible value of the angle ACD (in degrees)?

Question 15

If AB is one of the sides of a right-angled triangle ABC with all the integer sides and length of AB is 15 cm, find the maximum possible area of the triangle (in sq.cm).
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CAT & MBA
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