CAT 2024 Slot 1 | Past Year Question Paper

Question 1.

The chart below shows the price data for seven shares - A, B, C, D, E, F, and G as a candlestick plot for a particular day. The vertical axis shows the price of the share in rupees. A share whose closing price (price at the end of the day) is more than its opening price (price at the start of the day) is called a bullish share; otherwise, it is called a bearish share. All bullish and bearish shares are shown in green and red colour respectively.

Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average of the opening and closing prices during the day). Which among the shares A, C, D and F had the highest SPV on that day?

A

F

B

A

C

D

C

Question 2.

Consider two sets $A = \left\{2, 3, 5, 7, 11, 13 \right\}$ and $B = \left\{1, 8, 27 \right\}$ . Let f be a function from A to B such that for every element in B, there is at least one element a in A such that $f(a) = b$ . Then, the total number of such functions f is

A

665

B

667

C

537

D

540

Question 3.

The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.

. . . [T]he idea of craftsmanship is not simply nostalgic. . . . Crafts require distinct skills, an allround approach to work that involves the whole product, rather than individual parts, and an attitude that necessitates devotion to the job and a focus on the communal interest. The concept of craft emphasises the human touch and individual judgment.

Essentially, the crafts concept seems to run against the preponderant ethos of management studies which, as the academics note, have long prioritised efficiency and consistency. . . . Craft skills were portrayed as being primitive and traditionalist.

The contrast between artisanship and efficiency first came to the fore in the 19th century when British manufacturers suddenly faced competition from across the Atlantic as firms developed the “American system” using standardised parts. . . . the worldwide success of the Singer sewing machine showed the potential of a mass-produced device. This process created its own reaction, first in the form of the Arts and Crafts movement of the late 19th century, and then again in the “small is beautiful” movement of the 1970s. A third crafts movement is emerging as people become aware of the environmental impact of conventional industry.

There are two potential markets for those who practise crafts. The first stems from the existence of consumers who are willing to pay a premium price for goods that are deemed to be of extra quality. . . . The second market lies in those consumers who wish to use their purchases to support local workers, or to reduce their environmental impact by taking goods to craftspeople to be mended, or recycled.

For workers, the appeal of craftsmanship is that it allows them the autonomy to make creative choices, and thus makes a job far more satisfying. In that sense, it could offer hope for the overall labour market. Let the machines automate dull and repetitive tasks and let workers focus purely on their skills, judgment and imagination. As a current example, the academics cite the “agile” manifesto in the software sector, an industry at the heart of technological change. The pioneers behind the original agile manifesto promised to prioritise “individuals and interactions over processes and tools”. By bringing together experts from different teams, agile working is designed to improve creativity.

But the broader question is whether crafts can create a lot more jobs than they do today. Demand for crafted products may rise but will it be easy to retrain workers in sectors that might get automated (such as truck drivers) to take advantage? In a world where products and services often have to pass through regulatory hoops, large companies will usually have the advantage.

History also suggests that the link between crafts and creativity is not automatic. Medieval craft guilds were monopolies which resisted new entrants. They were also highly hierarchical with young men required to spend long periods as apprentices and journeymen before they could set up on their own; by that time the innovative spirit may have been knocked out of them. Craft workers can thrive in the modern era, but only if they don’t get too organised.

We can infer from the passage that medieval crafts guilds resembled mass production in that both

A

did not necessarily promote creativity.

B

discouraged innovation by restricting entry through strict rules

C

did not always employ egalitarian production processes.

D

focused excessively on product quality

Question 4.

Let $x, y,$ and $z$ be real numbers satisfying $4(x^{2}+y^{2}+z^{2})=a,$ $4(x-y-z)=3+a$ The a equals

A

3

B

1\dfrac{1}{3}

C

4

D

1

Question 5.

Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average of the opening and closing prices during the day). How many shares had an SPV greater than 0.5 on that day?

A

B

C

D

Question 6.

Which one of the following statements is NOT inconsistent with the views stated in the passage?

A

We need to support the crafts; only then can we retain the creativity intrinsic to their production.

B

Creativity in the crafts could be stifled if the market for artisan goods becomes too organised.

C

The Arts and Crafts movement was initially inspired by the “American system” of production.

D

The agile movement in software is a throwback to the tenets of the medieval crafts guilds

Question 7.

Daily loss for a share is defined as (Opening price - Closing price) / (Opening price). Which among the shares A, B, F and G had the highest daily loss on that day?

A

G

B

C

A

D

F

Question 8.

The author questions the ability of crafts to create substantial employment opportunities presently because

A

the low scale of crafts production will not be able to absorb the mass of redundant labour.

B

regulatory requirements could make it difficult for small crafts outfits to compete.

C

workers made redundant by automation are unlikely to opt for crafts-related work.

D

crafts guilds tend to resist new entrants and are unlikely to accept large numbers of trainees.

Question 9.

lf the equations $x^{2}+mx+9=0, x^{2}+nx+17=0$ and $x^{2}+(m+n)x+35=0$ have a common negative root, then the value of $(2m+3n)$ is

A

B

C

D

Question 10.

Suppose $x_{1},x_{2},x_{3},...,x_{100}$ are in arithmetic progression such that $x_{5}=-4$ and $2x_{6}+2x_{9}=x_{11}+x_{13}$ , Then, $x_{100}$ equals

A

-194

B

-196

C

204

D

206

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cat 2024 Complete Paper Solution | Slot 1

Question 1.

Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average of the opening and closing prices during the day). Which among the shares A, C, D and F had the highest SPV on that day?

Question 2.

Consider two sets $A = \left\{2, 3, 5, 7, 11, 13 \right\}$ and $B = \left\{1, 8, 27 \right\}$ . Let f be a function from A to B such that for every element in B, there is at least one element a in A such that $f(a) = b$ . Then, the total number of such functions f is

Question 3.

We can infer from the passage that medieval crafts guilds resembled mass production in that both

Question 4.

Let $x, y,$ and $z$ be real numbers satisfying $4(x^{2}+y^{2}+z^{2})=a,$ $4(x-y-z)=3+a$ The a equals

Question 5.

Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average of the opening and closing prices during the day). How many shares had an SPV greater than 0.5 on that day?

Question 6.

Which one of the following statements is NOT inconsistent with the views stated in the passage?

Question 7.

Daily loss for a share is defined as (Opening price - Closing price) / (Opening price). Which among the shares A, B, F and G had the highest daily loss on that day?

Question 8.

The author questions the ability of crafts to create substantial employment opportunities presently because

Question 9.

lf the equations $x^{2}+mx+9=0, x^{2}+nx+17=0$ and $x^{2}+(m+n)x+35=0$ have a common negative root, then the value of $(2m+3n)$ is

Question 10.

Suppose $x_{1},x_{2},x_{3},...,x_{100}$ are in arithmetic progression such that $x_{5}=-4$ and $2x_{6}+2x_{9}=x_{11}+x_{13}$ , Then, $x_{100}$ equals

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cat 2024 Complete Paper Solution | Slot 1

Question 1.

Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average of the opening and closing prices during the day). Which among the shares A, C, D and F had the highest SPV on that day?

Question 2.

Question 3.

We can infer from the passage that medieval crafts guilds resembled mass production in that both

Question 4.

Let x,y,x, y,x,y, and zzz be real numbers satisfying4(x2+y2+z2)=a,4(x^{2}+y^{2}+z^{2})=a,4(x2+y2+z2)=a,4(x−y−z)=3+a4(x-y-z)=3+a4(x−y−z)=3+aThe a equals

Question 5.

Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average of the opening and closing prices during the day). How many shares had an SPV greater than 0.5 on that day?

Question 6.

Which one of the following statements is NOT inconsistent with the views stated in the passage?

Question 7.

Daily loss for a share is defined as (Opening price - Closing price) / (Opening price). Which among the shares A, B, F and G had the highest daily loss on that day?

Question 8.

The author questions the ability of crafts to create substantial employment opportunities presently because

Question 9.

lf the equations x2+mx+9=0,x2+nx+17=0x^{2}+mx+9=0, x^{2}+nx+17=0x2+mx+9=0,x2+nx+17=0 and x2+(m+n)x+35=0x^{2}+(m+n)x+35=0x2+(m+n)x+35=0 have a common negative root, then the value of (2m+3n)(2m+3n)(2m+3n) is

Question 10.

Suppose x1,x2,x3,...,x100x_{1},x_{2},x_{3},...,x_{100}x1​,x2​,x3​,...,x100​ are in arithmetic progression such that x5=−4x_{5}=-4x5​=−4 and 2x6+2x9=x11+x132x_{6}+2x_{9}=x_{11}+x_{13}2x6​+2x9​=x11​+x13​, Then,x100x_{100}x100​ equals

Let $x, y,$ and $z$ be real numbers satisfying $4(x^{2}+y^{2}+z^{2})=a,$ $4(x-y-z)=3+a$ The a equals

lf the equations $x^{2}+mx+9=0, x^{2}+nx+17=0$ and $x^{2}+(m+n)x+35=0$ have a common negative root, then the value of $(2m+3n)$ is

Suppose $x_{1},x_{2},x_{3},...,x_{100}$ are in arithmetic progression such that $x_{5}=-4$ and $2x_{6}+2x_{9}=x_{11}+x_{13}$ , Then, $x_{100}$ equals