CAT Practice Test - 21 - CAT MCQ

The passage mentions ‘Slavery’ and not “slave trade”. Nor can it be inferred that other than slavery any kind of ‘trading’ of slaves was present. Therefore, option 4 is not true about the empire.
All the others options are mentioned in the passage.
Option 1 is mentioned in the following extract, “The state maintained irrigation in limited areas and in limited periods. By and large, irrigation systems were privately controlled by cultivators and landowners”.
Option 2 is mentioned in the following extract, “The gradual expansion of the agrarian economy and improvements in the administrative machinery for collecting revenue increased the income from land revenue”.
Option 3 is mentioned in the following extract, “The Mauryan Empire’s achievement lay in the ability to weld the diverse parts of the Indian subcontinent into a single political unit”. Hence, the correct answer is option 4.

The settlement was based on what Kautilya had written. We do not know (the passage does not give us data) as to whether Asoka and Kautilya were contemporaries. (In fact they were not). Therefore statement B is incorrect.
Statement D contradicts the data given in the passage. This eliminates options 2, 3 and 4.
Hence, the correct answer is option 1.

The passage describes the economical situation of the empire - that it was an agrarian economy, its sources of income, its labour, its irrigation, trade etc.; hence the best way to introduce the passage (title) is option 2.

Option 1 cannot be assumed from the statement or passage as there is no data available to substantiate if India’s competitiveness score was higher or lower prior to 2007.Option 2 is contextually incorrect as the Global Competitiveness Report only ranks countries based on their competitiveness score.Option 4 cannot be deduced as the statement only states that other countries improved their score. It cannot be said that they did better than India or were ranked higher than India. Taking this point into consideration, option 4 can be eliminated while it would be safe to assume option 3.Hence, the correct answer is option 3.

The word “rebounded” means ‘recover in value, amount, or strength after a decrease or decline.’ If India’s growth rebounded in 2014, it means after a decline in growth in the previous years, India saw recovery in 2014 and then went on to surpass China’s growth. This does not mean that India suffered from a recession prior to 2015. Thus, eliminate options 1 and 4.  Option 2 cannot be deduced from the statement or passage. Hence, the correct answer is option 3.

Options 1 and 3 are contextually misleading.Although option 2 is factually true, it bears no semblance to the context of the passage and thus can be eliminated.Option 4 is corroborated from the penultimate paragraph that states “The Reserve Bank of India has helped increase ...nonperforming loans previously not reported on the balance sheets of Indian banks.” Hence, the correct answer is option 4.

The passage mentions “Another area of concern is India’s stagnating performance in technological readiness, a pillar on which it scores one full point lower than any other.” Thus, option 1 would be a valid question to ask the author.
Options 2 and 3 are out of context.
Option 4 is already answered in the third paragraph “Improvements in health, primary education and infrastructure contributed most to this improvement..., each accounting for 15% of the final score.”. Hence, the correct answer is option 1.

Option 1 can be inferred from the following, “Do the races or species of men, whichever term may be applied, encroach on and replace one another, so that some finally become extinct? We shall see that all these questions, as indeed is obvious in respect to most of them, must be answered in the affirmative...” Option 2 can be inferred from the following extract, “Again, are the.... of structure?” The author answers these questions in the affirmative in the second paragraph.
Option 3 can be inferred from the following, “The enquirer would ...ones eliminated.” The author answers these queries once again in the affirmative.
The following extract, “The enquirer would next come to the important point, whether man tends to increase at so rapid a rate, as to lead to occasional severe struggles for existence...” repudiates option 4. Note the word “occasional” in the extract which contradicts “constant and unremitting” is mentioned in option 4.
Hence, the correct answer is option 4.

The following extract, “All the bones in his skeleton can be compared with corresponding bones in a monkey, bat, or seal” establishes option 2 to be true.The following extract, “Prof. Huxley in the Appendix alluded to in the Preface to this edition, who is a hostile witness, admits that every chief fissure and fold in the brain of man has its analogy in that of the orang...” determines options 3 and 4 to be true statements.The following extract, “and we will first see how far the bodily structure of man shows traces, more or less plain, of his descent from some lower form” determines option 1 to be a false statement.Hence, the correct answer is option 1.

The following extract, “The abundance or scantiness of this supply, too, seems to depend more upon the former of those two circumstances than upon the latter” implies that the skill, dexterity and the way labour is applied is the most critical factor in the wealth of nations. The author reinforces this concept of his with examples immediately after this extract. Options 1, 2 and 3 are also reasons for the wealth of nations but they are not the most important ones.
Hence, the correct answer is option 4.

At first glance, it is obvious that 4 cannot be the opening statement since “in other words” signifies a summing up or a paraphrase of a previously introduced idea.
The idea of renewable energy’s “base load power” is introduced in 2, which is elaborated upon in 4- “...the sun cannot shine on solar power stations at night...”. Therefore, 4 will follow 2. 1 immediately follows 4 since the shortcomings of solar energy, wind energy and hydroelectricity are all instances of “erratic behaviour” as is stated in 1.
Finally, the pronouns “it” and “these” in 3 are derived from 1 (“it” refers to the erratic behaviour and “these” refers to the major renewable energy technologies).
Hence, the correct answer is option 2413.

Since according to the context, genetic mutations take place within the community through marriages that happen only within the community, certain diseases are inherent and passed on from one generation of the community to another. The context thus, tells us that these diseases are generally found or prevalent only in that particular pocket of the people belonging to that community. “ Pocket o f eliminates the word ‘community’ as it will further restrict the number of people within the community.
Pocket of “people” will refer to a community, and will be more correctly put as a pocket of “population”. Therefore, we can eliminate options 1, 2 and 4. “Prevalent” is better than “found” and communicates the occurrence and continuity of diseases in a more appropriate manner.

The gist of the passage is: Effects of multipath (reflected signals) are a problem in microwave systems. Design (done carefully) and operation try to overcome these effects. But most approaches are unable to do away with this.
Option 1 is eliminated because it states: “Most systems are inadequate.” Which is not a fact - inadequate in what?
Option 2 is eliminated due to the categorical statement of ‘none’. Option 3 states ‘to overcome multiplepaths’ - changes the terminology and the meaning.
Option 4 captures the essence of the text. One may object to “to achieve the full reliable information rate”. This is not wrong.
Besides, one needs to choose the best and not the ideal.
Hence, the correct answer is option 4.

The main points in the paragraph are: 1. What was the Great Depression? 2. Where did it start? 3. What were the effects of the Great Depression?
Option 1 does not mention what the Great Depression was.
Option 2 summarizes the effects of the Great Depression but fails to mention what the Great Depression was and where it started.
In option 3 all the points are covered and are in the right order. The logic of the summary is also right: the start in the USA and the worldwide effects.
Option 4 states that a decline in the farming and construction sectors in the non-industrialized countries started the Great Depression, which is not true as can be inferred from the passage. Hence, the correct answer is option 3.

If Kashika is not part of the team then Dripto is also not there in the team.
One of Vikas or Aradhana has to be selected. This can be done in 2 ways. 

We need to select remaining 4 people from the list.
Among the 8 remaining people two are experts in C as well as C⁺⁺. There are two experts each for Java, ERP and SQL.
We will first consider Vikas or Aradhana to be an expert in C (or C⁺⁺).
Then we can choose one expert for C⁺⁺ (or C) in 2 ways, one expert for ERP in 2 ways, one expert for Java in 2 ways and one expert for SQL in 2 ways.
Thus, when Vikas or Aradhana is an expert of C , we can choose a team of 5 in 2 x 2 x 2 x 2 x 2 = 32 ways.
When Vikas or Aradhana is an expert of C⁺⁺ we can choose a team 0f 5 in 2 x 2 x 2 x 2 x 2 = 32 ways.
Hence, Vikas or Aradhana is an expert of C or C⁺⁺ we can choose a team of 5 in 2 x 32 ways.
Now, we consider that Vikas or Aradhana is an expert of Java.
One of them can be selected in 2 ways.
Then, both Akash and Preeti have to be selected as they are the only ones who are expert in C and C⁺⁺.
One expert for SQL can be selected in 2 ways and one expert for ERP can be selected in another 2 ways.
Thus, when Vikas or Aradhana is an expert of Java, we can choose a team 0f 5 in 2 x 2 x 2 x 2 = 2 x 8 ways.
Similarly, when Vikas or Aradhana is an expert of SQL and ERP, we can choose a team of 5 in 2 x 8 ways.
Thus, total number of ways to choose a team of 5, when Kashika is not a part of team = 2 x (32 + 8 + 8 + 8)= 112

If two members are present in the team with one of them knowing ERP, we cannot take Kashika and Dripto in the team as one of them will have to be an ERP expert.
We consider three cases.
Case i: Aradhna/Vikas are selected for C in 2 ways.
Akash/Preeti are selected for C⁺⁺ in 2 ways.
Mohit/Chandni are selected for SQL in 2 ways.
Total number of ways = 2 x 2 x 2 = 8 Case ii: AradhnaA/ikas are selected for C⁺⁺ in 2 ways.
Akash/Preeti are selected for C in 2 ways.
Mohit/Chandni are selected for SQL in 2 ways.
Total number of ways = 2 x 2 x 2 = 8 Case iii: Aradhna/Vikas are selected for SQL in 2 ways.
Akash and Preeti are selected for C and C⁺⁺ in 2 ways.
Total number of ways = 4
Thus the team of five can be formed in 8 + 8 + 2 = 20 ways.

Solution: For the sake of simplicity lets consider that the number of apples that A has is a.
Total number of fruits that A has and the total number of apples will be a.
Similarly, let the number of Bananas be b, Oranges be c, Guavas be d, Papayas be e, Mangoes be f, Pomegranates be g and Carrots be h.
Now since the total number of fruits with them is 36 and none of the two friends have the same number of fruits with them, it implies that they have between them 1,2,3, 4, 5, 6, 7 and 8 fruits.
From the given conditions we have: From (I), a + e = g ...(i) From (II), c + d = 10 ...(ii) From (III), e + f = 8 ...(iii) From (IV), a + c = 6 ...(iv)

From (V), If f  6 then h > f ...(v) From (VI), If e  1 then h > b ...(vi) From (VII), If g  8 then f > b ...(vii) From (VIII), If b  5 then g  5 ...(viii) From (IX), If e  3 then c  4 ...(ix) From (ii) and (iv), we have: d = a + 4 ...(x) This implies that d > 5 If d = 5, then from (ii) we have c = 5, which is not possible, 
of d  5
Similarly, from the above equations the possible values for variables can be as shown:

From (iii) we have the possible set of values for e and f as follows: 

For the values of d, c and a there are only two cases possible. Consider Case 1: d = 6, c = 4 and a = 2 We have from (i), the possible values of g for corresponding values of e: 
 

From (ix), if e  3 then c  4 , In this case since e = 1 or 5, and c = 4, it would mean a contradiction.
This case is not possible.
Consider Case 2: d = 8, c = 2 and a = 4

Case 2a: d = 8 , c = 2, a = 4, e = 1, g = 5 and f = 7. So  b and h should be from 3 and 6.

From (v): If f  6 then h > f, in this case f = 7, implies that h < f and hence a contradiction.
This case is not valid.
Case 2b: d =8, c = 2, a = 4, e = 5, g = 9 and f = 3 From (i) we have, a + e = g But g cannot be 9.
This case is not valid.
Case 2c: d = 8, c = 2, a = 4, e = 3, g = 7 and f = 5

This case doesnot violate any of the conditions and hence is valid. From (vi) we get that, If e  1 then h > b. h = 6 and b = 1 The final set of corresponding values would then be: 

From the table we get that D has the maximum number of units of fruits with him.
Hence, option 4.

Since Vikram starts from Tapti and has to come back to it, note that he can go from Tapti to either Narmada or Sarayu but he can come to Tapti only through Saravathi.
Therefore, work backwards and trace his route.
The only way to reach Tapti is through Saravathi.
Similarly, the only way to reach Saravathi is through Brahmnaputra.
Therefore, Vikram definitely travels along Brahmaputra- Saravathi-Tapti i.e. 4 + 10 = 14 minutes.
Now, Vikram can reach Brahmaputra through either Cauvery or Narmada.
Also, note that Vikram can reach Narmada only in one way but can reach Sarayu in two ways (either from Tapti or from Krishna).
Therefore, Vikram definitely goes from Tapti to Narmada and takes 10 minutes in doing so.
Thus, Vikram definitely spend 14 + 10 = 24 minutes.
Only the remaining time can be minimised.
Since Vikram can reach Brahmaputra in 2 ways.
Case 1 : Vikram reaches Brahmaputra directly through Narmada.
The only route possible satisfying all these conditions is: Narmada - Brahmaputra - Krishna - Sarayu - Cauvery - Brahmaputra.
This route takes 6 + 4 + 5 + 5 + 3 = 23 minutes Case 2 : Vikram reaches Brahmaputra through Cauvery.
The shortest route possible satisfying all these conditions is: Narmada - Cauvery - Krishna - Sarayu - Cauvery - Brahmaputra.
This route takes 6 + 3 + 5 + 5 + 3 = 22 minutes Thus, to minimise the time, the route that Vikram should take is:
Tapti —> Narmada —> Cauvery —> Krishna —► Sarayu —► Cauvery -> Brahmaputra -> Saravathi —> Tapti The minimum time taken by Vikram = 10 + 2 2 + 14 = 46 minutes Hence, option 2.

Solution: From the chart we get that:  A + B + C = 37% of 15000 = 5550 ...(i) B + C + D = 42% of 15000 = 6300 ...(ii) B - C = 4% of 15000 = 600 ...(iii) A + D = 17% of 15000 = 2550 .. .(iv) Adding (i) and (ii) we get: A + 2(B + C ) + D = 11850 ...(v) From (iv), A + D = 2550 B + C = 4650 ...(vi)

Solving (vi) and (iii) we get, B = 2625 C = 2025
 Substituting the value of B and C in (i) we get,
A = 900
Substituting the value of D in (iv) we get, Now from the first chart given we know that A = 900 represents 10% of the total students at Career Setters.
Total students at Career setters will be 9000 Number of male students at Career Setters = 8100 Similarly we can calculate the number of male and female students for other institutes also.
The data for total students and break up of students can be tabulated as shown below, 

From the table we can see that the number of male students studying at Adept Trainers is 6125.

Required average = (25 + 35 + 15 + 20) / 4 = 23.75 Hence, option 2.

Since P, Q and R can take values of the basic trigonometric functions and /should be equal to zero, the three terms being added should be of the form 1, -1 and -1.
Consider R = tan A or cot A Then 

= tan²A + cot²A + 1 = sec²A + cosec²A - 1 For f to be zero, P = sin A or cos A and Q = cos A or sin A Similarly, for R = cot A, we get 2 combinations of P and Q.
Thus, there are 4 such cases.
Hence, option 4.

log 2²⁵⁰ = 250 x log 2 = 250 x 0.3010 = 75.25
Now, number of digits = characteristic of logarithm + 1
= 75 + 1
= 76

Statement I is correct: If (a, b, c) is a Pythagorean triplet then (ka, kb, kc) is also a Pythagorean triplet for any natural number k. (3, 4, 5) is a Pythagorean triplet. (3k, 4k, 5k) will also be a Pythagorean triplet for any natural number k.
(1809, 2412, 3015) is a Pythagorean triplet (for k = 603) and 1809, 2412 and 3015 are in A.P.
Statement II is incorrect: (28, 45, 53) is a primitive Pythagorean triplet with length of all the sides greater than 25.
Statement III is incorrect: For the right angled triangle with length of sides 3, 4 and 5, its area = 1/2 x 3 x 4 = 6 square units, which is even. Moreover, the area of a right triangle need not always be an integer value.
Hence, option 3.

At 3:20 pm, the distance travelled by the minute hand is one-third of the distance that it travels in an hour, which is 1/3 x 360° = 120° Similarly, the hour hand travels one-third of the distance that it travels in an hour, which is 1/3 x 30° = 10° At 3:20 pm, the minute hand points to 4 on the clock and the hour hand is between 3 and 4 and is 10° away from 3. The distance between the hour and the minute hand at 3:20 pm is 20°
Similarly, we can find that the distance between the hour and minute hands at 9:30 pm is 90 + 15 = 105° 

Difference between the angles between the minute and the hour hand at 3:20 pm and 9:30 pm = 105° - 20° = 85° Hence, option 4.

The main part of the question is to understand that each 1 in the binary sequence represents an element of the set. If the nth bit is 1, n is there in the set, else not.
Hence, we have A = {1, 2, 3, 4, 5, 9} B = {1,2, 3, 4, 7, 8} 

c = { 1,4, 5, 6, 9} Now, D is set of those elements which appear in exactly two of A, B and C.
Hence, D = {2, 3, 5, 9} Hence, D can be represented by 100010110.
Sum = 4