NMAT Logical Reasoning MCQ Quiz - 2


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QUESTION: 1

Which letter will replace the question mark in the figure below?

Solution:

Consider the central blank.

The sum of letters on each of the four arms connected to the blank square is 27.

F + U = 6 + 2 1 = 27; R + 1 = 18 + 9 = 27; P + K = 16 + 11 = 2 7

∴ E + ? = 27 

∴ ? = 27 - 5 = 22

Hence, the missing letter is the 22nd letter i.e. V

Hence, option 5.

QUESTION: 2

Answer the question based on the passage given below.

Cosmetic surgery is an ancient practice and is a kind of elective surgery which is used to Marks improve appearance. Talks that cosmetic surgery should be banned do not take into account the fact that it is not frivolous, in fact, the demand for it has increased since the wars where many soldiers received such injuries that would potentially disfigure them for life, and reconstructive surgery was the only way to improve their quality of life.

Q.

Which of the following statements would strengthen the argument?

Solution:

The main argument in the passage is that cosmetic surgery is not frivolous and should not be banned (‘Talks that cosmetic surgery should be banned do not take into account the fact that it is not frivolous’). The author has given the example of how cosmetic surgery helped improve the life of soldiers who were disfigured during wars. We are therefore looking for a statement that will support this argument by offering further evidence that cosmetic surgery is not frivolous.

We can rule out option 1 as it is contrary to the passage.
We can rule out options 2 and 5 as they do not indicate how cosmetic surgery is not frivolous.

We can rule out option 4 as this statement presents a conflicting idea of what kind of cosmetic surgery is legitimate, which is beyond the scope of this passage.
The best answer is option 3. It offers a very convincing argument against banning cosmetic surgery because the price people pay for it can be invested in other medical areas.

Hence, the correct answer is option 3.

QUESTION: 3

Answer the question based on the passage given below.

The government wants to give out the postschool system for private (including foreign) investment, thus, not only saving from spending its own resources, but also conforming to the "globalised architecture" which will help students. But the detractors point out that it may not be affordable for every student to get admissions to these foreign or privately funded colleges and universities.

Q.

Which of the following decisions should the government take to tackle the opposition? Government should call for investments and tie ups in existing public universities

Solution:

Options 3 and 5 are far fetched and too negative in their tone, they do not provide a viable solution for the situation.
Even if the government has a hold over the fee structure, it does not mean that fees will be cheaper as the cost to bring in global education may be quite high. Hence, option 1 can be eliminated.
Option 4 unnecessarily brings in “gender, race, religion and caste”; whereas the passage only talks about financial issues, which option 2 takes care of.
Hence, the correct answer is option 2.

QUESTION: 4

Find the next term of the series. 2, 2, 12, 12, 30, 30, _

Solution:

2 = 1 x 2 a n d 2 = 2 x 1 

12 = 3 x 4 and 12 = 4 x 3

30 = 5 x 6 and 30 = 6 x 5

Hence numbers in odd places in the series = n(n +1) and numbers in even places in the series = n(n - 1) where, n = position of that number.

The postition of the next term is 7.

∴ The next term = 7 x 8 = 56

Hence, option 3.

QUESTION: 5

Answer the following question based on the information given below.

Eight delegates at a conference sit around a rectangular table with three seats on each longer side and one each on the other side. The delegates are Pranay, Kiran, Tushar, Udgam, Rahul, Sumit, Vishal and Woin. Vishal and Woin sit opposite to each other, but not at the extreme ends of the table or the shorter sides. Tushar is the head of the conference and is seated in a single seat on one of the smaller sides, opposite to another leading delegate. Udgam sits to the immediate left of Kiran but not on the same side of the table. Pranay is in the same row as Vishal and Sumit. Rahul is sitting opposite Pranay and to the immediate right of Tushar.

Q.

Who sits opposite Udgam?

Solution:

Let us denote all delegates by the initial letters of their names.
As V and W sit opposite each other, neither at the extreme ends of the table nor at the shorter sides, we can say that they sit on the centre chairs on the longer sides.

R sits to the right of T and opposite P, who sits in the same row as V and S, Also T is seated in a single seat on one of the shorter sides.

U is to the immediate left of K.

∴ We have:

 ∴ Sumit sits opposite Udgam.

Hence, option 3.

QUESTION: 6

Answer the following question based on the information given below.

Eight delegates at a conference sit around a rectangular table with three seats on each longer side and one each on the other side. The delegates are Pranay, Kiran, Tushar, Udgam, Rahul, Sumit, Vishal and Woin. Vishal and Woin sit opposite to each other, but not at the extreme ends of the table or the shorter sides. Tushar is the head of the conference and is seated in a single seat on one of the smaller sides, opposite to another leading delegate. Udgam sits to the immediate left of Kiran but not on the same side of the table. Pranay is in the same row as Vishal and Sumit. Rahul is sitting opposite Pranay and to the immediate right of Tushar.

Q.

Who is sitting to the immediate right of Sumit?

Solution:

Let us denote all delegates by the initial letters of their names. As V and W sit opposite each other, neither at the extreme ends of the table nor at the shorter sides, we can say that they sit on the centre chairs on the longer sides. R sits to the right of T and opposite P, who sits in the same row as V and S, Also T is seated in a single seat on one of the shorter sides. U is to the immediate left of K.

∴ We have:

∴ Sumit sits opposite Udgam.

∴  Vishal sits to the immediate right of Sumit.
Hence, option 1.

QUESTION: 7

Answer the following question based on the information given below.

Eight delegates at a conference sit around a rectangular table with three seats on each longer side and one each on the other side. The delegates are Pranay, Kiran, Tushar, Udgam, Rahul, Sumit, Vishal and Woin. Vishal and Woin sit opposite to each other, but not at the extreme ends of the table or the shorter sides. Tushar is the head of the conference and is seated in a single seat on one of the smaller sides, opposite to another leading delegate. Udgam sits to the immediate left of Kiran but not on the same side of the table. Pranay is in the same row as Vishal and Sumit. Rahul is sitting opposite Pranay and to the immediate right of Tushar.

Q.

Which of the following persons are seated diagonally opposite to each other?

Solution:

Let us denote all delegates by the initial letters of their names.
As V and W sit opposite each other, neither at the extreme ends of the table nor at the shorter sides, we can say that they sit on the centre chairs on the longer sides.

R sits to the right of T and opposite P, who sits in the same row as V and S, Also T is seated in a single seat on one of the shorter sides.

U is to the immediate left of K.

∴ We have:

 ∴ Sumit sits opposite Udgam.

 ∴ Sumit and Rahul are the only persons who are diagonally opposite to each other.

Hence, option 5.

QUESTION: 8

Answer the following question based on the information given below.

Eight delegates at a conference sit around a rectangular table with three seats on each longer side and one each on the other side. The delegates are Pranay, Kiran, Tushar, Udgam, Rahul, Sumit, Vishal and Woin. Vishal and Woin sit opposite to each other, but not at the extreme ends of the table or the shorter sides. Tushar is the head of the conference and is seated in a single seat on one of the smaller sides, opposite to another leading delegate. Udgam sits to the immediate left of Kiran but not on the same side of the table. Pranay is in the same row as Vishal and Sumit. Rahul is sitting opposite Pranay and to the immediate right of Tushar.

Q.

Who is sitting between Kiran and Woin?

Solution:

Udgam is sitting between Kiran and Woin.
Hence, option 4.

QUESTION: 9

Answer the following question based on the information given below.
Facebook has over 900 million users - 500 million of whom are estimated to use Facebook daily. Meanwhile, Pinterest has over 10 million users, 98% of whom have a Facebook and/or Twitter account.

Q.

Which of the following can be clearly inferred from the given passage?

Solution:

A glance at the numbers would tell us that Facebook (500 million active users) has a bigger audience than Pinterest (10 million users). Option 2 is incorrect, while option 1 is correct. We do not have sufficient

information about number of users of Twitter to make comparisons between Pinterest, Facebook, and Twitter; therefore, we can eliminate options 3 and 4.

The passage says that 98% of Pinterest users are also Facebook/Twitter users- therefore, option 5 is incorrect.

Hence the correct answer is option 1.

QUESTION: 10

A major concern has been expressed in India by parents and child activists that children are required to carry school bags that are way too heavy for them. What would be the most suitable way to reduce the burden on students?

Solution:

Option 1 is not a cost-effective solution for every school; it can be expensive to install lockers for every single student. A further problem that will arise is the completion of homework by the students.

They will still need to take some books home if they have been assigned homework - thus rendering their lockers useless. Eliminate option 1.

It is not feasible for the Government to arbitrarily reduce the syllabus and number of course books. This will mean a revamp of the entire system and is too labour-intensive. Eliminate option 2.

Option 3 is a sensible solution to reduce the physical load on the students. Subject periods each day of the week can be arranged in such a way that students are required to carry only the books pertaining to certain subjects to be taught in one day.

Option 4 is not at all feasible. This is just a way of circumventing the problem, since the bags will still remain as heavy as always. Moreover, it is not possible for all parents to accompany their children to school every single day.

Option 5 is not an ideal solution as not everyone can afford a trolley bag as it is comparatively expensive than a shoulder bag. Also, pulling the trolley bag with the same amount of books may cause muscle spasms and discomfort for children.

Hence, the correct answer is option 3.

QUESTION: 11

Group Question Answer the following question based on the information given below.

A number arrangement machine, when given a particular input, rearranges it following a particular rule. Illustrations of the input and the steps of arrangement are given below. For the given input, step 7 is the final output.

Input: 179 998 540 871 521 746 413 346 238 

Step 1: 540 871 179 521 346 413 238 998 746 

Step 2: 746 871 540 521 179 413 346 998 238 

Step 3: 746 998 540 871 179 521 346 413 238 

Step 4: 238 998 746 871 540 521 179 413 346 

Step 5: 238 413 746 998 540 871 179 521 346 

Step 6: 346 413 238 998 746 871 540 521 179 

Step 7: 346 521 238 413 746 998 540 871 179

Q.

Which of the following will be the third number in step 8 of the above sequence?

Solution:

Observe that there is just rearrangement of the numbers in each step.

Hence, for ease of understanding, mark the numbers as 1-9 from left to right, and observe the rearrangement.

179 = 1, 998 = 2, 540 = 3, 871 = 4, 521 = 5, 746 = 6,413 = 7, 346 = 8,238 = 9 

In p u t: 1 2 3 4 5 6 7 8 9

Step 1: 3 4 1 5 8 7 9 2 6

Step 2: 6 4 3 5 1 7 8 2 9

Step 3: 6 2 3 4 1 5 8 7 9 

Step 4: 9 2 6 4 3 5 1 7 8

Step 5: 9 7 6 2 3 4 1 5 8

Step 6: 8 7 9 2 6 4 3 5 1

Step 7: 8 5 9 7 6 2 3 4 1

From the input to Step 1, the numbers are randomly rearranged as per the sequence given.

In Steps 2,4 and 6, the numbers at even places stay as they are and the numbers at odd places shift right.

In Steps 3, 5 and 7, the numbers at odd places stay as they are and the numbers at even places shift right.

Hence, the sequence in Step 8 will be 1 5 8 7 9 2 6 4 3 

The third number of this sequence is 8, which corresponds to 346.

Hence, option 1.

QUESTION: 12

Group Question Answer the following question based on the information given below.

A number arrangement machine, when given a particular input, rearranges it following a particular rule. Illustrations of the input and the steps of arrangement are given below. For the given input, step 7 is the final output.

Input: 179 998 540 871 521 746 413 346 238 

Step 1: 540 871 179 521 346 413 238 998 746 

Step 2: 746 871 540 521 179 413 346 998 238 

Step 3: 746 998 540 871 179 521 346 413 238 

Step 4: 238 998 746 871 540 521 179 413 346 

Step 5: 238 413 746 998 540 871 179 521 346 

Step 6: 346 413 238 998 746 871 540 521 179 

Step 7: 346 521 238 413 746 998 540 871 179

Q.

What is the sum of the first and last number of Step 2 if the input to the machine is 
773 349 881 453 961 119 369 852 249?

Solution:

Consider the solution to the first question.

Input: 773 349 881 453 961 119 369 852 249

Step 1:881 453 773 961 852 369 249 349 119

Step 2: 119 453 881 961 773 369 852 349 249 

∴ Required sum = 119 + 249 = 368

Hence, option 5.

QUESTION: 13

Group Question Answer the following question based on the information given below.

A number arrangement machine, when given a particular input, rearranges it following a particular rule. Illustrations of the input and the steps of arrangement are given below. For the given input, step 7 is the final output.

Input: 179 998 540 871 521 746 413 346 238 

Step 1: 540 871 179 521 346 413 238 998 746 

Step 2: 746 871 540 521 179 413 346 998 238 

Step 3: 746 998 540 871 179 521 346 413 238 

Step 4: 238 998 746 871 540 521 179 413 346 

Step 5: 238 413 746 998 540 871 179 521 346 

Step 6: 346 413 238 998 746 871 540 521 179 

Step 7: 346 521 238 413 746 998 540 871 179

Q.

What is the difference between the seventh and third number of the fifth step for the input in the previous question?

Solution:

Since this question takes the input from the previous question, start directly from Step 2:

Step 2: 119 453 881 961 773 369 852 349 249

Step 3: 119 349 881 453 773 961 852 369 249

Step 4: 249 349 119 453 881 961 773 369 852

Step 5: 249 369 119 349 881 453 773 961 852

∴ The difference between the seventh and third number of Step 5 = 773 - 119 = 654

Hence, option 1.

QUESTION: 14

Group Question Answer the following question based on the information given below.

A number arrangement machine, when given a particular input, rearranges it following a particular rule. Illustrations of the input and the steps of arrangement are given below. For the given input, step 7 is the final output.

Input: 179 998 540 871 521 746 413 346 238 

Step 1: 540 871 179 521 346 413 238 998 746 

Step 2: 746 871 540 521 179 413 346 998 238 

Step 3: 746 998 540 871 179 521 346 413 238 

Step 4: 238 998 746 871 540 521 179 413 346 

Step 5: 238 413 746 998 540 871 179 521 346 

Step 6: 346 413 238 998 746 871 540 521 179 

Step 7: 346 521 238 413 746 998 540 871 179

Q.

If all the numbers in the input to the previous question are reversed (i.e. 123 becomes 321, and so on) and then given as an input to the machine, what will now be the last number of Step 7?

Solution:

Consider the solution to the previous two questions.

The concerned input is: 773 349 881 453 961 119 369 852 249

The pattern here involves only rearranging the numbers. The value of the numbers does not matter. Hence, the position of individual digits also does not matter.

Hence, rather than reversing the numbers at the start, find Step 7 as per the original number and then reverse only the last number of Step 7.

The sequence upto Step 5 has been already found.

Step 5: 249 369 119 349 881 453 773 961 852

Step 6: 852 369 249 349 119 453 881 961 773

Step 7: 852 961 249 369 119 349 881 453 773

Now reverse 773 to get 377.

Hence, option 3.

QUESTION: 15

Group Question Answer the following question based on the information given below.

A number arrangement machine, when given a particular input, rearranges it following a particular rule. Illustrations of the input and the steps of arrangement are given below. For the given input, step 7 is the final output.

Input: 179 998 540 871 521 746 413 346 238 

Step 1: 540 871 179 521 346 413 238 998 746 

Step 2: 746 871 540 521 179 413 346 998 238 

Step 3: 746 998 540 871 179 521 346 413 238 

Step 4: 238 998 746 871 540 521 179 413 346 

Step 5: 238 413 746 998 540 871 179 521 346 

Step 6: 346 413 238 998 746 871 540 521 179 

Step 7: 346 521 238 413 746 998 540 871 179

Q.

In a coded transmission;

1. ‘Save a drop’ is transmitted as 
2. ‘Drop the hat’ is transmitted as
3. ‘A clown hat’ is transmitted as

How would ‘Save the clown’ be transmitted in this code?

Solution:

The word ‘drop’ is common to the first two sentences and the code common in these is γ.
Thus, drop =γ.

The word ‘a’ is common to the first and third sentence and the code common to these is β

Thus, a = β

The only word left in the first sentence is ‘save’ and the only symbol left is α.

Thus, save = α.

The word ‘hat’ is common to the last two sentences and the code common to these is θ.

Thus, hat = θ.

The only word now left in the second sentence is ‘the’ and the only symbol left is δ.

Thus, the = δ.

Finally, the only word left in the last sentence is ‘clown’ and the only symbol left is σ.

Thus, clown = σ.

Thus, the code for ‘save the clown’ should have α, 3 and σ.

All three symbols are present only in option 3.

Hence, option 3.

QUESTION: 16

Group Question Answer the following question based on the information given below.

A number arrangement machine, when given a particular input, rearranges it following a particular rule. Illustrations of the input and the steps of arrangement are given below. For the given input, step 7 is the final output.

Input: 179 998 540 871 521 746 413 346 238 

Step 1: 540 871 179 521 346 413 238 998 746 

Step 2: 746 871 540 521 179 413 346 998 238 

Step 3: 746 998 540 871 179 521 346 413 238 

Step 4: 238 998 746 871 540 521 179 413 346 

Step 5: 238 413 746 998 540 871 179 521 346 

Step 6: 346 413 238 998 746 871 540 521 179 

Step 7: 346 521 238 413 746 998 540 871 179

Q.

6 movies are to be screened at PVR on a particular day. The movies are OMG, DDLJ, Idiots, Swades, Pardes, and Madhya Prades.
No two movies having the same set of last three letters are scheduled one after the other. 3 Idiots is not scheduled last.
OMG can only be scheduled 3rd or 4th.
If DDLJ is scheduled 5th, which movie is scheduled 3rd?

Solution:

Since DDLJ is scheduled 5th while OMG is scheduled 3rd or 4th, there are two possibilities:

____ OMG _ DDLJ _ o r _______ OMG DDLJ _

Here, OMG can be scheduled 3rd.

Now, no two of Swades, Pardes and Madhya Prades can be scheduled one after the other.

So, these three movies can be scheduled in three different ways:

(1st, 4th, 6th), (1st, 3rd, 6th) or (2nd, 4th, 6th).

In the second combination given above, any of these three movies can be scheduled 3rd

Hence, all the given movies can be scheduled 3rd
Hence, option 5.

QUESTION: 17

Group Question Answer the following question based on the information given below.

A number arrangement machine, when given a particular input, rearranges it following a particular rule. Illustrations of the input and the steps of arrangement are given below. For the given input, step 7 is the final output.

Input: 179 998 540 871 521 746 413 346 238 

Step 1: 540 871 179 521 346 413 238 998 746 

Step 2: 746 871 540 521 179 413 346 998 238 

Step 3: 746 998 540 871 179 521 346 413 238 

Step 4: 238 998 746 871 540 521 179 413 346 

Step 5: 238 413 746 998 540 871 179 521 346 

Step 6: 346 413 238 998 746 871 540 521 179 

Step 7: 346 521 238 413 746 998 540 871 179

Q.

Vasantha drives 20km to the west from his office, then turned left and drove 15km. He then turned East and drives 30km and finally turning left drove 15km. How far is he from his office?

Solution:

Points A and E are shown as the start and end positions.

It is evident from the figure that E is 10km away from A.
Hence, option 5.

QUESTION: 18

Group Question Answer the following question based on the information given below.

A number arrangement machine, when given a particular input, rearranges it following a particular rule. Illustrations of the input and the steps of arrangement are given below. For the given input, step 7 is the final output.

Input: 179 998 540 871 521 746 413 346 238 

Step 1: 540 871 179 521 346 413 238 998 746 

Step 2: 746 871 540 521 179 413 346 998 238 

Step 3: 746 998 540 871 179 521 346 413 238 

Step 4: 238 998 746 871 540 521 179 413 346 

Step 5: 238 413 746 998 540 871 179 521 346 

Step 6: 346 413 238 998 746 871 540 521 179 

Step 7: 346 521 238 413 746 998 540 871 179

Q.

I f ‘FACEBOOK’ is coded as ‘GXHXKDBV’ and ‘NAPSTER’ is coded as ‘OXULCTE’, then what is the code word for ‘PINTEREST’?

Solution:

The coding for the words mentioned in the question is done as follows: 

The numbers are consecutive odd numbers and alternate addition and subtraction is performed on the current position of the individual letters.

Similarly, the code for ‘NAPSTER’ is ‘OXULCTE’.

In the same way we can code PINTEREST as follows:

Hence, option 1.

QUESTION: 19

Group Question Answer the following question based on the information given below.

A number arrangement machine, when given a particular input, rearranges it following a particular rule. Illustrations of the input and the steps of arrangement are given below. For the given input, step 7 is the final output.

Input: 179 998 540 871 521 746 413 346 238 

Step 1: 540 871 179 521 346 413 238 998 746 

Step 2: 746 871 540 521 179 413 346 998 238 

Step 3: 746 998 540 871 179 521 346 413 238 

Step 4: 238 998 746 871 540 521 179 413 346 

Step 5: 238 413 746 998 540 871 179 521 346 

Step 6: 346 413 238 998 746 871 540 521 179 

Step 7: 346 521 238 413 746 998 540 871 179

Q.

In a certain code, if ABBREVIATION is written as IATABBIONREV, how is MALNUTRITION written in that code?

Solution:

Divide ABBREVIATION into four groups of three letters each, as shown below: 

ABBREVIATION

If these groups are numbered 1-4 from left to right, the logic is that the group order changes from 1234 to 3142.

Thus, ABBREVIATION becomes

IAT ABB ION REV.

Similarly, divide MALNUTRITION into four groups of three letters each: 

MAL NUT RIT ION

Using the logic given above, ALNUTRITION  becomes RITMALIONNUT.
Hence, option 3.

QUESTION: 20

Answer the following question based on the information given below.
Former Supreme Court judges should not be appointed to political offices, the Bar Association said. "Judges should be insulated from political positions," said its chairman. The Bar Association recommended that former judges could be considered for judicial offices, adding that adjudicatory functions befit the stature of judges, as the appointment would be apolitical and not at the pleasure of the Government.

Q.

Which of the following could be the assumption underlying the conclusion drawn in the passage above?

Solution:

The passage talks about how the Bar Association feels that former judges should not be appointed to political positions but only to judicial ones. It mentions that the Bar Association thinks that judicial positions befit the stature of a judge. Therefore, it can be assumed that it believes that the skill-set of a judge is better suited for adjudicatory functions. Option 2 is correct.

Option 1 is incorrect, because this is not an assumption but a fact that is stated in the passage, in the lines “...adjudicatory functions...not at the pleasure of the Government.”.

Option 3 is incorrect, as nowhere in the passage is the personal preference of former judges stated. We cannot make any assumptions as to what the judges themselves think about this issue.

Option 4 is incorrect. Although the passage does state that the Bar Association considers adjudicatory functions as more befitting to a judge's stature, this cannot be used as a basis to assume that adjudicatory functions are more honourable than political ones.
Option 5 is incorrect, as the passage does not provide any basis to support it.

Hence, the correct answer is option 2.

QUESTION: 21

For each of the following questions, read the statement and:

Mark option 1, if only A is the course of action.
Mark option 2, if only B is the course of action.
Mark option 3, if either of the two is to be the course of action.
Mark option 4, if neither of the two is the course of action.
Mark option 5, if both of them are to be the courses of action.
Statement: Smoking is expected to kill nearly 1 million Indians by the early 2020s.

A. The government should impose a blanket ban on the sale of cigarettes.
B. The government should increase the taxes on cigarettes.

Solution:

The statement reads that “Smoking is expected to kill nearly 1 million Indians”. Given that this is an estimation and not an established fact, a blanket ban would be too drastic a step. It should only be considered in a worst case scenario. Hence, statement A is not a practical course of action. Eliminate options 1, 3 and 5.

Imposing taxes on cigarettes on the other hand will make them expensive and thereby reduce their consumption. Thus, statement B presents a feasible course of action. Eliminate option 4.

Hence, the correct answer is option 2.

QUESTION: 22

Given below are two statements. Analyze them and mark the option that correctly states their relationship.

A: A majority of population in Africa is living below poverty line.

B: African countries are said to have become the hub of internet frauds and scams and the lawlessness is helping it grow.

Solution:

Statement A can be established individually as a cause as well as an effect. The same can be said for statement B. Now, looking at the two statements together, option 1 seems to be the strongest among first four options. Option 1 seems correct as there is a link from statement A to B making A the cause and B the effect. It seems probable that poverty had lack of law 4 enforcement which may have encouraged locals to take to internet scams and frauds. Unfortunately, the link is not strong enough for us to ascertain that B is the effect of A. Africa could become a hub for internet frauds due to various other reasons like cheap technology, smuggling of technical instruments etc.
Hence, the correct answer is option 5.

QUESTION: 23

The passage is followed by an inference or inferences. Examine each inference separately in the context of the passage and mark:
1 if the inference is definitely true, i.e. it directly follows from the statement of facts given.
2 if the inference is probably true, though not directly true, in the light of the statement of facts given.
3 if the inference is uncertain, i.e. data is insufficient to decide whether the inference is true or false.
4 if the inference is probably false, though not definitely false, in the light of the statement of facts given.
5 if the inference is definitely false, i.e. it cannot possibly be inferred from the statement of facts given

Goldfinches are among the strictest vegetarians in the bird world, selecting an entirely vegetable diet and only inadvertently swallowing an occasional insect.

Statement: If a goldfinch were to be provided with both insects as well as vegetable matter, it would eat only the vegetable matter and leave the insects uneaten.

Solution:

The main statement clearly tells us that the goldfinch is vegetarian and prefers vegetable matter as food. If at all it consumes insects, this happens inadvertently and is not a natural response on the part of the bird.
From this, it is evident that the goldfinch would, if given a choice, eat only the vegetable matter given to it and leave the insects uneaten. This is definitely true.

Hence, the correct answer is option 1.

QUESTION: 24

Which letter will replace the question mark in the figure below?

Solution:

In the first row: J + 4 = N and N + 4 = R 

In the second row, C + 5 = H and H + 5 = M

Thus, in each row, the difference between consecutive letters is the same, and this difference increases by 1 in each subsequent row.

Hence, in the third row, 1 + 6 = 0 and O + 6 = U

Hence, the missing letter is O.

Hence, option 3.

QUESTION: 25

Group Question

Answer the following question based on the information given below.
A team of six players is to be selected from among Wessels, Lance, Mak, Nick, Gibbs, Pollock, Jacq, Yuvi, Don, MS and Duminy.

1. At least one between Wessels or Mak is to be selected.
2. Gibbs and Jacq cannot be selected together.
3. Gibbs plays only if Duminy plays.
4. At most two from among Pollock, Yuvi and Don can be selected.
5. Lance has to be selected.
6. Nick wants Duminy to play, if he is selected.

Q.

If Duminy is not selected and the captain - Don - selects Yuvi, who among these can also be selected?

Solution:

Gibbs plays only if Duminy plays.

This is of the form - If Gibbs plays, Duminy plays. The other conclusion that can be drawn from this is - If Duminy does not play, Gibbs does not play.

Thus, Gibbs cannot be selected.
If Nick plays, Duminy has to play. Thus, if

Duminy doesn’t play, Nick also does not play. Thus, Nick cannot be selected as well.

Since Don selects Yuvi along with him,

Pollock cannot be selected.

Now, since Gibbs has not been selected, Jacq can be selected.

Hence, option 2.

QUESTION: 26

Group Question

Answer the following question based on the information given below.
A team of six players is to be selected from among Wessels, Lance, Mak, Nick, Gibbs, Pollock, Jacq, Yuvi, Don, MS and Duminy.

1. At least one between Wessels or Mak is to be selected.
2. Gibbs and Jacq cannot be selected together.
3. Gibbs plays only if Duminy plays.
4. At most two from among Pollock, Yuvi and Don can be selected.
5. Lance has to be selected.
6. Nick wants Duminy to play, if he is selected.

Q.

If a team of five is to be formed, how many of the following teams are valid?

1. Wessels, Lance, Gibbs, Duminy, Nick
2. Wessels, Lance, Don, Pollock, Nick
3. Mak, Lance, Jacq, Pollock, Duminy
4. Mak, Lance, Gibbs, Duminy, Nick
5. Wessels, Mak, Lance, Jacq, Nick

Solution:

If Gibbs plays, Duminy has to play. Similarly, if Nick plays, Duminy has to play.

Thus, any team that has Gibbs or Nick or both has to have Duminy in it.

Hence, teams 2 and 5 are invalid.

Every team has to have Lance as well as at least one of Wessels and Mak.

This is satisfied for all three remaining teams.

In team 3, Jacq can be selected as Gibbs is not selected.

Also, in team 3, only Pollock from Don, Yuvi and Pollock can be selected.

Thus, teams 1, 3 and 4 are valid.

Hence, option 2.

QUESTION: 27

Group Question

Answer the following question based on the information given below.
A team of six players is to be selected from among Wessels, Lance, Mak, Nick, Gibbs, Pollock, Jacq, Yuvi, Don, MS and Duminy.

1. At least one between Wessels or Mak is to be selected.
2. Gibbs and Jacq cannot be selected together.
3. Gibbs plays only if Duminy plays.
4. At most two from among Pollock, Yuvi and Don can be selected.
5. Lance has to be selected.
6. Nick wants Duminy to play, if he is selected.

Q.

If Wessels, Mak and Jacq have been selected in the team, who among the following cannot be selected in the team?

Solution:

If Wessels, Mak and Jacq have been selected, Lance is the fourth player to be selected.
Now, based on the earlier solutions and given data, the valid combinations from the remaining people are: One of Gibbs or Nick and Duminy
or
Duminy and one of Don, Yuvraj or Pollock
or
Any two of Don, Yuvraj and Pollock

The team in option 3 does not fall in this category. Hence, it cannot be selected.

Hence, option 3.

QUESTION: 28

Answer the following question based on the information given below.

Five friends A, B, C, D and E are sitting around a regular pentagonal table (at its vertices). Each friend has two friends opposite him/her. i.e., the two friends sitting farthest from him/her. The following is known about their seating arrangements.

i) Neither B nor D is sitting opposite to A.

ii) D is not sitting opposite to C

Q.

Which of the following pair is sitting opposite to D?

Solution:

As B and D are not sitting opposite to A, they will have to sit adjacent to A. Therefore, C and E will sit opposite to A.

Now as D is not sitting opposite to C, D has to sit adjacent to C which gives us two . possible arrangements:

We can clearly see from the figures that B and E are sitting opposite to D in both the cases.
Hence, option 5.

QUESTION: 29

Answer the following question based on the information given below.

Five friends A, B, C, D and E are sitting around a regular pentagonal table (at its vertices). Each friend has two friends opposite him/her. i.e., the two friends sitting farthest from him/her. The following is known about their seating arrangements.

i) Neither B nor D is sitting opposite to A.

ii) D is not sitting opposite to C

Q.

Who is sitting immediately to the left of E?

Solution:

From the solution to the first question of the set, we can see that either B or C is sitting immediately to the left of E.

Hence, option 5.

QUESTION: 30

Answer the following question based on the information given below.

Five friends A, B, C, D and E are sitting around a regular pentagonal table (at its vertices). Each friend has two friends opposite him/her. i.e., the two friends sitting farthest from him/her. The following is known about their seating arrangements.

i) Neither B nor D is sitting opposite to A.

ii) D is not sitting opposite to C

Q.

If B and E exchange their places and so do D and A, then who all are sitting opposite to A?

Solution:

As E and B are sitting opposite to D, even if they exchange their places, E and B will be sitting opposite to D.

Now since, A’s new position is D’s present position, E and B will be sitting opposite to A.

Hence, option 2.

QUESTION: 31

Answer the following question based on the information given below.

Five friends A, B, C, D and E are sitting around a regular pentagonal table (at its vertices). Each friend has two friends opposite him/her. i.e., the two friends sitting farthest from him/her. The following is known about their seating arrangements.

i) Neither B nor D is sitting opposite to A.

ii) D is not sitting opposite to C

Q.

Mayura said to Shrikant, “That girl in white dress is the younger of the two sisters of the son of my mother’s husband.” How is the girl in white dress related to Mayura?

Solution:

The son of Mayura’s mother’s husband is the brother of Mayura and sister of the son is the sister of Mayura.

Therefore, the girl in white dress is the sister of Mayura.

Hence, option 4.

QUESTION: 32

Group Question

Answer the following question based on the information given below.

The columns and rows of matrix X are numbered A to E and that of matrix Y from F to J. A number from these matrices is represented first by its row and next by its column e.g. 51 can be represented as BA, DB, FF, GJ and so on. Use the data given in Matrix X and Matrix Y to answer each of the questions that follow

Q.

Which of the following cannot represent the sum of EA and FJ?

Solution:

EA = 21 and FJ = 27

∴ EA + FJ = 21 + 27 = 48

48 is represented by BD, DC, ED, FH, HI and IG.

Thus, all the codes given in the options can represent the required sum. 

Hence, option 5.

QUESTION: 33

Group Question

Answer the following question based on the information given below.

The columns and rows of matrix X are numbered A to E and that of matrix Y from F to J. A number from these matrices is represented first by its row and next by its column e.g. 51 can be represented as BA, DB, FF, GJ and so on. Use the data given in Matrix X and Matrix Y to answer each of the questions that follow

Q.

Which number is represented by the term ADIHBA? 

Solution:

AD = 41, IH = 32 and BA = 51.

Hence, ADIHBA represents 413251.

Hence, option 1.

QUESTION: 34

Group Question

Answer the following question based on the information given below.

The columns and rows of matrix X are numbered A to E and that of matrix Y from F to J. A number from these matrices is represented first by its row and next by its column e.g. 51 can be represented as BA, DB, FF, GJ and so on. Use the data given in Matrix X and Matrix Y to answer each of the questions that follow

Q.

What is the numerical value of AC + IH - JG?

Solution:

AC = 34, IH = 32, JG = 41

∴ AC + I H -J G = 34 + 3 2 -4 1 =25

Hence, option 3.

QUESTION: 35

Group Question

Answer the following question based on the information given below.

The columns and rows of matrix X are numbered A to E and that of matrix Y from F to J. A number from these matrices is represented first by its row and next by its column e.g. 51 can be represented as BA, DB, FF, GJ and so on. Use the data given in Matrix X and Matrix Y to answer each of the questions that follow

Q.

How many combinations can be used to represent the code 4151?

Solution:

41 is represented by AD, CE, DE, GH, IF, JG and JI.

Thus, 7 combinations are possible for 41. 51 is represented by BA, DB, FF, GJ and HH.

Thus, 5 combinations are possible for 51.

∴  Number of possible combinations for 4151 = 7 x 5 = 35 

Hence, option 2.

QUESTION: 36

Group Question

Answer the following question based on the information given below.

The columns and rows of matrix X are numbered A to E and that of matrix Y from F to J. A number from these matrices is represented first by its row and next by its column e.g. 51 can be represented as BA, DB, FF, GJ and so on. Use the data given in Matrix X and Matrix Y to answer each of the questions that follow

Q.

Which of the following statements is logically equivalent to the statement given below?

“The government cannot control poverty unless it has passed a new bill.”

Solution:

The given statement is of the form - “p unless q”; 

where p → The government cannot control poverty 

and q → It has passed a new bill 

The logical implications this are: ~p → q i.e.

If the government can control poverty, it has passed a new bill. ~q → p i.e.

If the government has not passed a new bill, it cannot control poverty.

The only statement from the options that

follows this is the statement in option 3.

Statement 1 is of the form p → q i.e. invalid.

Statement 2 is of the form p → ~q i.e. invalid.

Statement 4 is of the form q → ~p i.e. invalid.

Hence, option 3.

QUESTION: 37

Group Question

Answer the following question based on the information given below.

The columns and rows of matrix X are numbered A to E and that of matrix Y from F to J. A number from these matrices is represented first by its row and next by its column e.g. 51 can be represented as BA, DB, FF, GJ and so on. Use the data given in Matrix X and Matrix Y to answer each of the questions that follow

Q.

A train has 10 compartments which carry an average of 20 passengers per compartment. If there are at least 12 passengers sitting in every compartment and no two compartments have the same number of passengers, what is the the maximum number of passengers that can be accommodated in a compartment?

Solution:

Total number of passengers in the train = 20 x 10 = 200

Since the number of passengers in any one compartment is to be maximized and every compartment has at least 12 passengers,

minimum number of passengers that can be present in the remaining 9 compartments =12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 144

∴ Maximum number of passengers that can be accommodated in the 10th compartment = 200 - 144 = 56.

Hence, option 3.

Note: Here, the 10th compartment does not necessarily imply compartment number 10. It just means one of the 10 compartments.

QUESTION: 38

Answer the following question based on the information given below.
The rate of question paper leaks in Mumbai is up by a whopping 90 percent from last year. The leak springs from the office of the Vice-Chancellor, according to some students. They claim that the VC has never launched an investigation into the leaks, and neither has he reprimanded any one.

Q.

The argument above would be weakened if it were true that:

Solution:

If option 3 is true, then the allegations against the VC hold no water.

Options 1 and 5 are irrelevant to the issue at hand.

Option 2 is illogical- even if he happened to be out of town during the examinations, this does not mean he ought not to take necessary action now.

Option 4 is no reason for the lack of action on the VC's part.

Hence, the correct answer is option 3.

QUESTION: 39

Given below are two statements. Analyze them and mark the option that correctly states their relationship.

a . Abhinav Bindra managed to outperform all the shooters in the competition and won a gold medal for India.
B. After almost six years, the Indian cricket team finally managed to win the Border- Gavaskar trophy back from the Australians.

Solution:

These two statements cannot have a cause-effect relationship with each other since they do not talk about the same people.

If they were to be effects of a common cause, then there should exist a cause that has led all the sportsmen of India to perform better in their respective fields. Such a generic cause is hard to list down.

Instead, if one were to analyze both statements, both these events would lead to a similar effect across the country - that of national pride and victory induced hysteria. Hence, these two statements can be causes leading to a common effect.

Hence, option 4.

QUESTION: 40

For each of the following questions, read the statement and: 

Mark option 1, if only A is the course of action.
Marks Mark option 2, if A followed by B is the course of action.
Mark option 3, if only C is the course of action.
Mark option 4, if A followed by C is the course of action.
Mark option 5, if all three of them are to be the courses of action.

The government has significantly hiked rail fares and freight charges. As per the revised fares, a Rs 85 monthly season ticket (II Class) will now cost Rs 150, while a Rs 190 monthly pass will be priced at Rs 480.

A. Citizens must file a Public Interest Litigation against the exorbitant fare hike.
B. People should protest against the fare hike.
C. People should boycott the railways and engage in carpooling and other alternative modes of transport.

Solution:

The railway fares have been hiked to almost or more than double the cost of what they were before. This hike can be addressed by means of a Public Interest Litigation. Hence,

A is a possible course of action.

A protest against the authorities could act as a catalyst for positive change and hence, statement B also suggests a logical course of action. Eliminate options 1.

Boycotting the railways is an illogical option as it would not lead to any change.

While carpooling is an innovative option, it may not be feasible for those who do not own a car. Alternative modes of transport also may not be helpful for traveling long distances and hence, option C is not a logical course of action. Eliminate options 3,4 and 5.
Hence, the correct answer is option 2.

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