## CAT diagnostic

This Free CAT Diagnostic Test has 24 questions. It offers a simple way to understand the type of questions to expect in the CAT. The Quantitative Reasoning questions cover topics like number properties, algebra, coordinates, permutation and combination, arithmetic word problems – percentages, time and distance, etc. The Verbal reasoning section consists of questions on Verbal reasoning and Reading comprehension. Some of the questions have been developed in-house and some borrowed from different sources (which are widely available).

After the completion of the test, a score will be given as a percentage. Expected Percentage to CAT score conversion (this is NOT an exact conversion):

• Less than 20%: Below 20 percentile => You need to work a lot on your prep
• 20% to less than 40%: 20 to 40 percentile => You have basic idea of what the CAT is. Keep at it
• 40% to less than 60%: 40 to 60 percentile => Decent! But still lacking in multiple concepts.
• 60% to less than 80%: 60 to 80 percentile => You are pretty much there. Need a bit of final push
• 80% or above: 80 to 99 percentile => You are almost there and maybe ready for the actual test with some brushing up

## Welcome to your CAT DIAGNOSTIC TEST

The quiz contains 24 questions - 8 on Quantitative reasoning, 8 on LRDI and 8 on Verbal ability (4 on  verbal reasoning and 4 on Reading comprehension).

You have 45 minutes to mark your responses.

All the best!

CAT Diagnostic

1 / 24

x and y are two real numbers such that 2 < x < 3 and – 8 < y < –7. Which of the following terms will have the lowest value?

2 / 24

Two parallel chords in a circle on the same side of a diameter have lengths 6cm and 8cm. If the distance between these chords is 1cm, then the diameter of the circle in cm is

3 / 24

In the figure below, AB is the diameter. If AB || CD, AC || BE and angle BAE = 250, what is the absolute difference, in degrees, between angles CDB and ABD?

4 / 24

A shopkeeper wants to earn some profit by selling sugar. Which of the following will maximise his profit?

a) Sell sugar at 10% profit,

b) Use a weight of 900g instead of 1 kg and sell sugar at cost price,

c) Mix 10% impurities in sugar and sell sugar at cost price, and

d) Increase the price by 5% and reduce weights by 5%.

5 / 24

A company purchases two components C1 and C2 from the US and UK respectively. C1 and C2 respectively form 30% and 50% of the total production cost. Company makes a profit of 20%. Due to a change in global markets, the US Dollar appreciated by 30% and the Pound appreciated by 22%. However, given market conditions, the selling price cannot be raised beyond 10%. What is the maximum profit possible?

6 / 24

How many integers between 0 and 200 are such that when they are divided by 2, 3, 4, 5, 6, the remainders are 1, 2, 3, 4, 5 respectively?

7 / 24

If n is a number whose sum of digits is 2 and 1012 < n < 1013, the number of different values of n is

8 / 24

The number 63 is written as a product of 5 distinct integers. If ‘n’ is the sum of these five integers then what is the sum of all the possible values of n?

9 / 24

A private power supply company has worked out an innovative plan with a factory to which it supplies power. The factory consumes electricity at the rate of 100 units per hour. The power company will charge the factory at a rate of Rs. 1.50 per unit. There may be two types of power shutdowns: planned and unplanned. While there is no penalty for planned shutdowns, the factory will reduce the payment by Rs. 150 for each hour of unplanned shutdown of power.

The power supply company’s operating costs are Rs. 100 per hour during normal operation, and Rs. 50 per hour during a shutdown.

The supply positions for four 200-hour periods are given in the table below:

 Period 1 Period 2 Period 3 Period 4 Normal Supply 80% 73% 82% 79% Planned Shutdown 10% 22% 5% 9% Unplanned Shutdown 10% 5% 13% 12%

In which period was the profit the highest?

10 / 24

A private power supply company has worked out an innovative plan with a factory to which it supplies power. The factory consumes electricity at the rate of 100 units per hour. The power company will charge the factory at a rate of Rs. 1.50 per unit. There may be two types of power shutdowns: planned and unplanned. While there is no penalty for planned shutdowns, the factory will reduce the payment by Rs. 150 for each hour of unplanned shutdown of power.

The power supply company’s operating costs are Rs. 100 per hour during normal operation, and Rs. 50 per hour during a shutdown.

The supply positions for four 200-hour periods are given in the table below:

 Period 1 Period 2 Period 3 Period 4 Normal Supply 80% 73% 82% 79% Planned Shutdown 10% 22% 5% 9% Unplanned Shutdown 10% 5% 13% 12%

In which period was the profit the lowest?

11 / 24

A private power supply company has worked out an innovative plan with a factory to which it supplies power. The factory consumes electricity at the rate of 100 units per hour. The power company will charge the factory at a rate of Rs. 1.50 per unit. There may be two types of power shutdowns: planned and unplanned. While there is no penalty for planned shutdowns, the factory will reduce the payment by Rs. 150 for each hour of unplanned shutdown of power.

The power supply company’s operating costs are Rs. 100 per hour during normal operation, and Rs. 50 per hour during a shutdown.

The supply positions for four 200-hour periods are given in the table below:

 Period 1 Period 2 Period 3 Period 4 Normal Supply 80% 73% 82% 79% Planned Shutdown 10% 22% 5% 9% Unplanned Shutdown 10% 5% 13% 12%

Which period had the lowest total operating cost?

12 / 24

A private power supply company has worked out an innovative plan with a factory to which it supplies power. The factory consumes electricity at the rate of 100 units per hour. The power company will charge the factory at a rate of Rs. 1.50 per unit. There may be two types of power shutdowns: planned and unplanned. While there is no penalty for planned shutdowns, the factory will reduce the payment by Rs. 150 for each hour of unplanned shutdown of power.

The power supply company’s operating costs are Rs. 100 per hour during normal operation, and Rs. 50 per hour during a shutdown.

The supply positions for four 200-hour periods are given in the table below:

 Period 1 Period 2 Period 3 Period 4 Normal Supply 80% 73% 82% 79% Planned Shutdown 10% 22% 5% 9% Unplanned Shutdown 10% 5% 13% 12%

Which period produced the highest revenue (i.e. amount received minus the penalty) for the power company?

13 / 24

Ghosh Babu had certain amount of property consisting of cash, gold coins and silver bars. The cost of a gold coin is Rs 4000/- and the cost of a silver bar is Rs 1000/-. Ghosh Babu distributed his entire property amongst his daughters equally. He gave his eldest daughter gold coins worth 20% of the total property and Rs 25,000/- cash. The second daughter was given silver bars worth 20% of the remaining property and Rs 50,000/- cash. He then called, in succession, each of the rest of his daughters to give (i) equal number of gold coins and silver bars together accounting for 20% of the property remaining after the previous distribution and (ii) Rs 25,000/- more than what the previous daughter received in cash.

The number of daughters of Ghosh Babu is

14 / 24

Ghosh Babu had certain amount of property consisting of cash, gold coins and silver bars. The cost of a gold coin is Rs 4000/- and the cost of a silver bar is Rs 1000/-. Ghosh Babu distributed his entire property amongst his daughters equally. He gave his eldest daughter gold coins worth 20% of the total property and Rs 25,000/- cash. The second daughter was given silver bars worth 20% of the remaining property and Rs 50,000/- cash. He then called, in succession, each of the rest of his daughters to give (i) equal number of gold coins and silver bars together accounting for 20% of the property remaining after the previous distribution and (ii) Rs 25,000/- more than what the previous daughter received in cash.

The number of gold coins obtained by the third daughter of Ghosh Babu is

15 / 24

Ghosh Babu had certain amount of property consisting of cash, gold coins and silver bars. The cost of a gold coin is Rs 4000/- and the cost of a silver bar is Rs 1000/-. Ghosh Babu distributed his entire property amongst his daughters equally. He gave his eldest daughter gold coins worth 20% of the total property and Rs 25,000/- cash. The second daughter was given silver bars worth 20% of the remaining property and Rs 50,000/- cash. He then called, in succession, each of the rest of his daughters to give (i) equal number of gold coins and silver bars together accounting for 20% of the property remaining after the previous distribution and (ii) Rs 25,000/- more than what the previous daughter received in cash.

Total property of Ghosh Babu (in Rs Lakhs) is

16 / 24

Ghosh Babu had certain amount of property consisting of cash, gold coins and silver bars. The cost of a gold coin is Rs 4000/- and the cost of a silver bar is Rs 1000/-. Ghosh Babu distributed his entire property amongst his daughters equally. He gave his eldest daughter gold coins worth 20% of the total property and Rs 25,000/- cash. The second daughter was given silver bars worth 20% of the remaining property and Rs 50,000/- cash. He then called, in succession, each of the rest of his daughters to give (i) equal number of gold coins and silver bars together accounting for 20% of the property remaining after the previous distribution and (ii) Rs 25,000/- more than what the previous daughter received in cash.

The total number of silver bars possessed by Ghosh Babu is

17 / 24

Four alternative summaries are given below each text. Choose the option that best captures the essence of the text.

Some decisions will be fairly obvious-”no-brainers.” Your bank account is low, but you have a two-week vacation coming up and you want to get away to some place warm to relax with your family. Will you accept your in-laws’ offer of free use of their Florida beachfront condo? Sure. You like your employer and feel ready to move forward in your career. Will you step in for your boss for three weeks while she attends a professional development course? Of course.

18 / 24

Choose the option that represents the most logical sequence of the four sentences labelled (1), (2), (3) and (4) so as to form a coherent paragraph, starting with sentence A and ending with sentence B.

A. Iceland’s economy provides a high standard of living.

1. Potatoes and turnips are also grown.
2. Major industries, concentrated in Reykjavik and its vicinity and in Akureyri, produce metals, alloys, fertilisers, furniture and books.
3. Less than 2% of the population is unemployed.
4. The main agricultural crop is hay and fodder for the stocks of sheep and cattle.

B. Few mineral resources exist other than diatomite, which is used in filtration systems.

19 / 24

The sentences given in each question, when arranged in the proper sequence, form a coherent paragraph. Each sentence is labelled with a letter. Choose the most logical order of sentences from among the given choices to construct a coherent paragraph.

(A)          But I think that what is important in cultural education should be conveyed, at any rate in the early stages, by methods far more attractive than those now usual.

(B)          I do not suggest that the cultural side of education should be ignored.

(C)          History and geography should be taught at first by means of the cinema.

(D)          I think, on the contrary, that it is essential for the production of the sort of adult who best fits the modern world.

(E)           When taught in this way, they will give pleasure and attention will be spontaneous and therefore the impression will not be temporary.

20 / 24

The question is a logical sequence of statements with a missing link, the location of which is shown parenthetically [(....)]. From the four options available, choose the one that best fits into the sequence:

Regulation has an important impact in areas beyond the financial. Governments must carefully think through its potential social implications, the most prominent and contentious of which is employment. Research recently conducted into productivity in the Latin American telecom industry by the McKinsey Global Institute established a clear link between regulations on pricing and employment. (....) And ultimately it is going to be this relationship that will decide the fate of the market concerning local labour.

21 / 24

Neotropical coastal mangrove forests are usually “zonal,” with certain mangrove species found predominantly in the seaward portion of the habitat and other mangrove species on the more landward portions of the coast. The earliest research on mangrove forests produced descriptions of species distribution from shore to land, without exploring the causes of the distributions.

The idea that zonation is caused by plant succession was first expressed by J. H. Davis in a study of Florida mangrove forests. According to Davis’ scheme, the shoreline is being extended in a seaward direction because of the “land-building” role of mangroves, which, by trapping sediments over time, extend the shore. As a habitat gradually becomes more inland as the shore extends, the “land-building” species are replaced. This continuous process of accretion and succession would be interrupted only by hurricanes or storm flushings.

Recently the universal application of Davis’ succession paradigm has been challenged. It appears that in areas where weak currents and weak tidal energies allow the accumulation of sediments, mangroves will follow land formation and accelerate the rate of soil accretion; succession will proceed according to Davis’ scheme. But on stable coastlines, the distribution of mangrove species results in other patterns of zonation; “land building” does not occur.

To find a principle chat explains the various distribution patterns, several researchers have looked to salinity and its effects on mangroves.

While mangroves can develop in fresh water, they can also thrive in salinities as high as 2.5 times that of seawater. However, those mangrove species found in freshwater habitats do well only in the absence or competition, thus suggesting that salinity tolerance is a critical factor in competitive success among mangrove species. Research suggests chat mangroves will normally dominate highly saline regions, although not because they require salt. Rather, they are metabolically efficient (and hence grow well) in portions of an environment whose high salinity excludes plants adapted to lower salinities. Tides create different degrees of salinity along a coastline. The characteristic mangrove species or each zone should exhibit a higher metabolic efficiency at that salinity than will any potential invader, including other species of mangrove.

Information in the passage indicates that the author would most probably regard which of the following statements as INCORRECT?

22 / 24

Neotropical coastal mangrove forests are usually “zonal,” with certain mangrove species found predominantly in the seaward portion of the habitat and other mangrove species on the more landward portions of the coast. The earliest research on mangrove forests produced descriptions of species distribution from shore to land, without exploring the causes of the distributions.

The idea that zonation is caused by plant succession was first expressed by J. H. Davis in a study of Florida mangrove forests. According to Davis’ scheme, the shoreline is being extended in a seaward direction because of the “land-building” role of mangroves, which, by trapping sediments over time, extend the shore. As a habitat gradually becomes more inland as the shore extends, the “land-building” species are replaced. This continuous process of accretion and succession would be interrupted only by hurricanes or storm flushings.

Recently the universal application of Davis’ succession paradigm has been challenged. It appears that in areas where weak currents and weak tidal energies allow the accumulation of sediments, mangroves will follow land formation and accelerate the rate of soil accretion; succession will proceed according to Davis’ scheme. But on stable coastlines, the distribution of mangrove species results in other patterns of zonation; “land building” does not occur.

To find a principle chat explains the various distribution patterns, several researchers have looked to salinity and its effects on mangroves.

While mangroves can develop in fresh water, they can also thrive in salinities as high as 2.5 times that of seawater. However, those mangrove species found in freshwater habitats do well only in the absence or competition, thus suggesting that salinity tolerance is a critical factor in competitive success among mangrove species. Research suggests chat mangroves will normally dominate highly saline regions, although not because they require salt. Rather, they are metabolically efficient (and hence grow well) in portions of an environment whose high salinity excludes plants adapted to lower salinities. Tides create different degrees of salinity along a coastline. The characteristic mangrove species or each zone should exhibit a higher metabolic efficiency at that salinity than will any potential invader, including other species of mangrove.

It can be inferred from the passage that Davis’ paradigm does NOT apply to which of the following?

23 / 24

Neotropical coastal mangrove forests are usually “zonal,” with certain mangrove species found predominantly in the seaward portion of the habitat and other mangrove species on the more landward portions of the coast. The earliest research on mangrove forests produced descriptions of species distribution from shore to land, without exploring the causes of the distributions.

The idea that zonation is caused by plant succession was first expressed by J. H. Davis in a study of Florida mangrove forests. According to Davis’ scheme, the shoreline is being extended in a seaward direction because of the “land-building” role of mangroves, which, by trapping sediments over time, extend the shore. As a habitat gradually becomes more inland as the shore extends, the “land-building” species are replaced. This continuous process of accretion and succession would be interrupted only by hurricanes or storm flushings.

Recently the universal application of Davis’ succession paradigm has been challenged. It appears that in areas where weak currents and weak tidal energies allow the accumulation of sediments, mangroves will follow land formation and accelerate the rate of soil accretion; succession will proceed according to Davis’ scheme. But on stable coastlines, the distribution of mangrove species results in other patterns of zonation; “land building” does not occur.

To find a principle chat explains the various distribution patterns, several researchers have looked to salinity and its effects on mangroves.

While mangroves can develop in fresh water, they can also thrive in salinities as high as 2.5 times that of seawater. However, those mangrove species found in freshwater habitats do well only in the absence or competition, thus suggesting that salinity tolerance is a critical factor in competitive success among mangrove species. Research suggests chat mangroves will normally dominate highly saline regions, although not because they require salt. Rather, they are metabolically efficient (and hence grow well) in portions of an environment whose high salinity excludes plants adapted to lower salinities. Tides create different degrees of salinity along a coastline. The characteristic mangrove species or each zone should exhibit a higher metabolic efficiency at that salinity than will any potential invader, including other species of mangrove.

According to the passage, the earliest research on mangrove forests produced which of the following?

24 / 24

Neotropical coastal mangrove forests are usually “zonal,” with certain mangrove species found predominantly in the seaward portion of the habitat and other mangrove species on the more landward portions of the coast. The earliest research on mangrove forests produced descriptions of species distribution from shore to land, without exploring the causes of the distributions.

The idea that zonation is caused by plant succession was first expressed by J. H. Davis in a study of Florida mangrove forests. According to Davis’ scheme, the shoreline is being extended in a seaward direction because of the “land-building” role of mangroves, which, by trapping sediments over time, extend the shore. As a habitat gradually becomes more inland as the shore extends, the “land-building” species are replaced. This continuous process of accretion and succession would be interrupted only by hurricanes or storm flushings.

Recently the universal application of Davis’ succession paradigm has been challenged. It appears that in areas where weak currents and weak tidal energies allow the accumulation of sediments, mangroves will follow land formation and accelerate the rate of soil accretion; succession will proceed according to Davis’ scheme. But on stable coastlines, the distribution of mangrove species results in other patterns of zonation; “land building” does not occur.

To find a principle chat explains the various distribution patterns, several researchers have looked to salinity and its effects on mangroves.

While mangroves can develop in fresh water, they can also thrive in salinities as high as 2.5 times that of seawater. However, those mangrove species found in freshwater habitats do well only in the absence or competition, thus suggesting that salinity tolerance is a critical factor in competitive success among mangrove species. Research suggests chat mangroves will normally dominate highly saline regions, although not because they require salt. Rather, they are metabolically efficient (and hence grow well) in portions of an environment whose high salinity excludes plants adapted to lower salinities. Tides create different degrees of salinity along a coastline. The characteristic mangrove species or each zone should exhibit a higher metabolic efficiency at that salinity than will any potential invader, including other species of mangrove.

The primary purpose or the passage is to