XAT MOCK TEST SOLUTION

Verbal and Logical Ability

1. (A)

The para clearly states that some elephants are natural born leaders and some of the most successful
among them seem to be confident. Hence, only first statement can be concluded here.

2. (E)

Only last options uses ‘commas’ at the right places.

3. (D)

Only fourth option uses ‘commas’ and ‘inverted commas’ at the right places.

4. (C)

The conclusion of the passage is basically the first option and the third option is talking about couples
which weakens this conclusion the most.

5. (A)

The last word is spices and the first option starts with seasoning which makes sense meaningfully.
The first option also fits grammatically.

6. (B)

Considering the context of the paragraph, only B option makes sense. As the last phrase ends on
‘generate’ it is evident that current account is suitable.

7. (B)

The last statement says that investing in natural infrastructure is required. Hence, the fourth statement
can be inferred most appropriately.

8. (D)

They aren’t popular, is they?

9. (D)

Here, 23 is a link. As 3 expands the idea of uncertainty mentioned in 2. Only fourth option mentions
this link.

10. (D)

The line ‘this clothes buying bonanza’ refers to the fact stated in the first statement. Here, 12 is a link.
Following the flow of information, 12345 makes more sense.

11. (E)

The third sentence states ‘facts of his life’. Here, ‘his’ is St. Nicholas which first got introduced in the
second sentence. Hence, 23415 is the most appropriate here.

12. (B)

As we are using the term MRI, scan is the most appropriate here. Also, we require the synonym of
valuable here.

13. (D)

As Antarctic is a cold place, freezing makes more sense. Also, before comparative degree adjective
much is used.

14. (E)

With No sooner conjunction than is used. In 4th sentence, to will be used in place of ‘too’.

15. (C)

In sentence 2, immediately will be used. Losing will be used in 4th sentence. In the fifth sentence,
there is an error of verb.

16. (A)

As we are talking about toxic pollutants finding place in land, which makes it obvious that it will also
affect water system also.
17. (C)

The second line of the paragraph talks about books of various genres. Hence, third option is more
appropriate here.

18. (C)

The first line states it clearly that chronicles haven holds secrets from centuries past.

19. (B)

As per the context of the passage, only second option makes sense.

20. (C)

The first sentence itself hints towards the suitable title i.e., forgotten library.

21. (B)

The passage mentions that scholars in "Chronicles Haven" are engaged in deciphering ancient
languages found in manuscripts and scrolls. This suggests a direct connection between the
preservation of ancient texts and languages and Eldoria's cultural heritage.

22. (C)

The emergence of Homo sapiens during the Upper Paleolithic era is characterized by advanced tool
usage.

23. (B)

The essay indicates that the cultural revolution during the Upper Paleolithic era, marked by the
creation of sophisticated tools and symbolic art, played a crucial role in Homo sapiens' cognitive
development, contributing to their long-term success.

24. (C)

The essay underscores Homo sapiens' consistent ability to adapt and innovate throughout their
journey, suggesting that these qualities have been integral to their survival and progress.
25. (B)

The poet associates the emotion of serenity with the moonlight in the poem, describing it as creating a
celestial trance and a silver waltz, contributing to the peaceful and tranquil atmosphere.

26. (C)

The metaphorical language used to describe the willows' leaves in the poem is "Dancers in a ballet,"
emphasizing the graceful and rhythmic movement of the leaves as they sway in the breeze.

Decision Making

1. (C)
Option C is the right choice

2. (A)
Option A is the right choice

3. (D)
Option D is the right choice

4. (E)
Option E is the right choice

5. (E)
Option E is the right choice

6. (E)
Option E is the right choice

7. (C)
Option C is the right choice

8. (E)
Option E is the right choice

9. (B)
Option B is the right choice

10. (C)
It is given that Rajan wants to earn money which is necessary for living. So, he should start his
business. However, he is concerned about the environment. So, he must ensure minimal, if not zero,
damage to the environment. Option C is the most relevant in this context.
11. (D)

Option A is too extreme because both the Government as well as local people want development.
Option B is also extreme because forgetting about the environment would be disastrous and Rajan
does not want that.

Between option C and option D, D is a better choice because in option D, it is mentioned that the
government would work in coordination with private entities so that there would not be any harm to
any harm to any of the parties involved. Option C talks about giving total control in the hands of
government which might strangle the prospects of private enterprises. Option E is holding
government responsible for the degradation of environment which is not correct as people are also
equally responsible. Hence, option D is the correct answer.

12. (B)

The motive is to stop the degradation of the environment. So, only afforestation won't work. Steps
which would discourage people from polluting the environment should be taken. Option B is correct.

Option E only mentions about rewarding those who are active in afforestation efforts, but has no
provision for punishing those who pollutes the environment. Same is true for option C too. Option D
is too extreme and cannot be suggested. Option A has two issues - It is suggesting to charge cess from
all businesses without taking into consideration that some businesses might not be polluting the
environment. Also, it is assuming that only business pollute environment and is not holding people
responsible for it. Hence, option B is the correct answer.

13. (C)

Replying an accusation with another without proper evidence and justification will be futile. Options
A and E are discarded. Option B is not something which the opposition disagrees with. The
contention is of the the increasing unemployment and not regarding the effectiveness of Rajan's
policies. Between options C and D, option C is better because it considers the overall employment
while option D considers employment in a specific cleaning drive. Hence, option C is the correct
answer.

14. (A)

Options C and E are extremes and hence, cannot be the answer. Shifting the green belt outside the city
will not help in mitigating pollution inside the city. Option D is incorrect. Recruiting 20 people who
plant a tree each will not be able to compensate for the effect that a loss of green belt would have.
Option B is incorrect. Option A will easily fill the gap left after loss of green belt. Hence, option A is
the correct answer.

15. (B)
Options C and E are extreme. Option D would imply that Chatterjee has to forego his plan regarding
implementation of the green policy because of his friend which is not ethical. Option A implies
that Chatterjee would have to delay the implementation in favour of his friend which is unethical.
Option B will appeal the most to him as it will affect his future interests. Hence, option B is correct
answer.

16. (B)

Statement 1 would mean the acceptance of the allegation which will tarnish the company's
image. Statement 5 would neither be effective in increasing sales nor be able to sway allegations. The
authenticity and accuracy of the report is not known. Hence, the statements 3,2, and 4 are the correct
way to approach the crisis at hand. Hence, option B is the correct answer.

17. (B)

Mukesh has just read the news in the newspaper and he is not sure about its truthfulness. So, the most
appropriate step for him would be to explore the reality behind the news. Therefore, 6 is an ethical
option. Option 2 is ethical too. 1,3,5 are unethical options. Option 4 can be considered as unethical too
but to a lesser degree than 1,3,5. So 6,1,4 is definitely the wrong order because 1 is more unethical
option than 4. Hence, option B is the correct answer.

18. (C)

Proclaiming something without any evidence is futile. Option A is wrong. Without being sure of the
involvement of competitors in any conspiracy, blaming is not correct. Options D and E are incorrect.
Option B would not help Shekhawat prove that his product is healthy which is the main allegation.
Option C is the best alternative for Shekhawat. He can prove both that his product is healthy and the
allegations are false. Hence, option C is the correct answer.

19. (D)

The very first step will be to get in touch with the contract labourers to explain to them the current
situation with the competitors and the contractors. Also, to ease their current situation with the
labourers, they should immediately take some action against the security guards behind the firing.
This will help boost their confidence in the CTM. Thus, the correct option is D.

20. (C)

For any organisation with regular employees, it is not feasible, professional, and fair to offer
memberships to contractual workers succumbing to their pressure. But in the case of an already
escalated situation in CTM with the contractual workers, they have to woo them by representing their
interests in order to halt any advent of a new union. Thus, the correct option is C.
21. (D)

Since if situations like this become prevalent in the other parts of the country, then it will dissuade the
companies from investing; hence, the government have to intervene by setting up new committees to
reduce such events in the future. Also, it will help protect the rights of the contractual labours. Thus,
the correct option is D.

22. (E)

It will be very prudent for the CTM management to make the contract labourers their immediate
priority as it can stop the escalation of a very serious and self-sabotaging issue in its tracks. As it was
only one contract labour who was beaten up by the security, the issue is still in a very early stage.
Thus, the correct option is E.

Quantitative Ability and Data Interpretation

Solution for question 1 to 3

1. From the data given in the question, we can make the following table,

Mango Strawberry Pineapple Total

Anita x 3x x 5x
Bhawna (a+b)/2 a b 3(a+b)/2
Charu 3y 2y 2y 7y
Divya 2z 2z 3z 7z
Total
Let (a+b)/2 = m

Here, it is given that the number of strawberries purchased by Anita is greater than the total number of
fruits purchased by Divya.

Thus, 3x>7z

Consider the case when z = 2. So, 7z = 14

Thus, x will be atleast 5 to make 3x = 15.

Or, the total number of fruits purchased by Anita will be atleast 25(Total = 5x).

So, the number of fruits purched by Anita and Divya will be atleast 25 + 14 = 39.

The total number of fruits left = 55 – 39 = 16.

Thus, 3m + 7y = 16

This case is possible when m = 3 and y = 1.

Mango Strawberry Pineapple Total

Anita 5 15 5 25
Bhawna 3 1/2 5/4 9
Charu 3 2 2 7
Divya 4 4 6 14
Total 15 22/23 18/17 55
Consider the case when z = 3. So, 7z = 21

Here 3x will be atleast 24.

Thus, the total fruits purchased by Anita will be atleast 40.

Since this is already greater than the total fruits purchased by all, this is not the correct option.

Now, consider the case when z = 1. So, 7z = 7

Thus, 3x will be atleast 9.

Thus, the total number of fruits purchased by Anita will be atleast 15.

Now, the total number of fruits purchased by Anita and Divya will be atleast 15 + 7 = 22

Since the number of fruits purchased for any of them cannot be equal, Charu will purchased at least
14 fruits. Also, the least number of fruits that Bhawna can purchase in 6(since the value s equal to 3m,
and number of bananas is greater than the numbers of mangoes)

Thus, the total number of fruits purchased by Anita, Bhawna, Charu, and Divya will be at least 22 +
14 + 6 = 42.

Thus, the difference 13(55 – 42) will be allotted to Anita, Bhawna, and Charu

Since we know that the total number of fruits with Anita, Bhawna, and Charu is a multiple of 5, 3, and
7, respectively,

5p + 3q + 7r = 13, where p, q and r are random variables.

The triplets (p, q, r) that will satisfy the above equation will get the following table:

Mango Strawberry Pineapple Total

Anita 5 15 5 25
Bhawna 3 1/2 5/4 9
Charu 6 4 4 14
Divya 2 2 3 7
Total 16 22/23 17/16 55
Also, when x, m, y, and z are 3, 4, 3, and 1, respectively, we will get the following table:

Mango Strawberry Pineapple Total

Anita 3 9 3 15
Bhawna 4 1/2/3 7/6/5 12
Charu 9 6 6 21
Divya 2 2 3 7
Total 18 18/19/20 19/18/17 55
1. (D)

2. (B)
3. (D)

Solution for question 4 to 6

A B C D E
Quantitative 74 93 95 99 74
Reasionong 88 78 94 93 76
English 89 98 100 82 76
Decision 99 93 71 99 98
making
REQ Score 251 269 289 274 226
RED Score 276 269 265 274 250

Name Possibilities
Ajay A/E
Ajit A/E
Usha C/D
Abhishek C/B/D
Amar B/D
Based on the information, we can infer the following possibilities for each person Amar has equal
RED and REQ scores and hence must be either B/D. Ajit’s lowest marks are in Quantitative and
hence he must be either A/E. Ajay scored more in Decision making than in any other section =>
Decision making score should be greater than all other score => Ajay can be A/E. Only C and D
cleared the finance cut– offs => Usha can be C/D.

4. (B)

If Usha scored lowest in English => Usha is D => Amar is B and Abhishek is C. Hence, the other
person to clear finance cut– offs is Abhishek.

5. (D)

If Ajit cleared the HR cutoff => Ajit is A => Ajay is E. Hence, option D is definitely true.

6. (B)

Hence, A/E can be arranged between Ajay and Ajit in 2 ways. The possible variables for (Usha,
Abhishek, Amar) are (C, B, D), (C, D, B) and (D, C, B) => 3 ways. Hence, distinct solutions = 2×3 =
6 solutions

Solution for question 7 to 9:

7. (B)

The 5th rank overall is of H as the first 4 places are occupied bt A, B, C, J in all 3 sections and the 5th
place is occupied by H. The 6th rank is of D as the lag in section Verbal ability and section Logical
reasoning between G and D and between E and D gets compensated in other sections. For eg. Even is
G is 5 marks ahead of D in section Verbal ability, and if we take the minimum case for D, then D
would be 1 mark ahead of G. Similarly even if E is ahead of D by 5 marks in Logical reasoning, then
also D would be ahead of Logical reasoning overall. We cannot determine the overall rank of any
other student exactly.

8. (A)

minimum difference is of 2 marks in consecutive ranks. D is 5 ranks behind A. This means all the
people between A and D have the gap of 2 marks. Since G and H are consecutive, difference in G and
H is 2 marks.

9. (E)

The 5th rank overall is of H as the first 4 places are occupied by A, C, B, J in all 3 sections and the 5th
place is occupied by H. The 6th rank is of D as the lag in section Verbal ability and Logical reasoning
between G and D and between E and D gets compensated in other section. For eg. Even if G is 5 mark
ahead of D in section Verbal ability, and if we take the minimum case for D, then D would be 1 mark
ahead of G. Similarly even if E is ahead of D by 5 marks in Logical reasoning, then also D would be
ahead of Logical reasoning overall. The 7th rank cannot be determined accurately.

10. (A)

If the overall weight increases then Y > 45 and x < 0

Thus, average weight =  x ×

y − 45 
+ 45 
 x + 45 

Putting x = 1, 2, 3……9

And y = 54, 53, 52……46

The maximum average occurs when x = 5 and y = 50

Hence maximum average weight

 50 − 45 
= 5× + 45 
 5 + 45 
= 45.5 kg

Hence option (a) is correct answer.

11. (A)
By angle bisector area of

PQ 4 PN
= =
OR 1 NR

We know that ∆ QME ∼∆ QNR

i.e. QE = 1
QR 2

area of ∆QME  1  1
2

= = 
area of ∆QNR  2  4
Area of ∆ QNR = 1/5 area of ∆ PQR

1
= × 60 =
12
5
3
Area of quadrilateral EMNR is × 12 =
9sq.cm
4
Hence option (a) is correct

12. (A)

f(x) = | x – 1 | + | x + 1|

2x, x > 1

= 2, − 1 ≤ x ≤ 1
−2x, x < −1


Hence, the required shortest distance = 2 – 1 = 1 unit

13. (D)

Let s and t be the usual speed and time taken

 
So, distance = st = 20  t +
16 

 60 

If he reaches in 20 minutes late

20
time taken = t+
60
But we cannot find the speed even using all above information.

Hence, option (d) is correct

14. (C)

To calculate the discriminant

i.e.

D = b2 – 4ac

we can take a2 common so that,

 b2 c
D = a2  2 − 4 
a a

⇒ D = a2 [(sum of roots)2 – 4(products of roots)]

αβ = 30

α = -2

β = -15

D = a2 [(17)2 – 4(30)]

= 169a2

Hence option (c) is correct answer

15. (B)

we see different remainders with 2, 3 5 and 7 on observation we can see that remainder with 2 3 and 5
is of -1 and with 7 is 2.

From here we can say that

30K – 1 = 7n + 2

n = 30K − 3
7

On solving the minimum value of K, is 5

first number = 30 × 5 – 1 = 149

Second number = 149 + LCM (2, 3, 5, 7)

149 + 210 = 359

So, total 5 three digit number are possible

16. (B)

We can see from graph, both the curves intersect only one time,

Hence (b) is correct answer.

17. (A)

Let c be the point in the cloud in the cloud and c’ be its reflecton in the lake

So that CM = C`M = x (m)

in Δ BOC

x − 50
tan30 = …… (1)
y
in Δ BOC`
 x + 50
tan60 = …… (2)
y
From equation (1) and equation (2)

tan 30 x − 50
=
tan 60 x + 50

1 x − 50
=
3 × 3 x + 50
x + 50 = 3(x-50)

x + 50 = 3x-150

2x = 200

x = 100m

18. (B)

Let ABCD be the field and AB`C`D` be the part of the field where a pit is dug.

Volume of the earth dug out

= 6 × 3 × 2.5

= 45m2 …… (1)

Area of remaining part of the field

= 20 × 14 – 6 × 3

= 262m2

Volume of the remaining part of the field dug out

= (262 × h) m3 …… (2)

Form equation (1) and (2)

262 × h = 45
 45
h=
262
= 0.1718m

h = 17.18cm

Hence (b) is correct option

19. (D)

The equation x + (1 + c) + x − 2 =
4 has infinite number of solution.

This is possible when x in x + (1 + c) and x in x − 2 cancels out.

Case I

x + (1 + c) < 0, x − 2 ≥ 0

– x – 1– c + x – 2 = 4

– 1 – c – 2 =4

c=–7

Case II

x + (1 + c) ≥ 0 , x − 2 < 0

x + (1+c) – x + 2 = 4

1+c+2=4

c=1

Hence, the least value of ‘c’ is –7

20. (A)

we know that

Sn = 2n-1

Sn-1 = 2n-1-1

Now,

Sn = t1 + t2 + t3 + …… tn-1 + tn

= t1 + t2 + t3 + …… tn-1 + tn

= Sn-1 + tn
tn = Sn – Sn-1

= 2n–1 – 2n-1 + 1

= 2n – 2n-1
= n
2 –1(2–1)

=2n-1

Hence option (a) is the correct answer

21. (B)

A’s speed b
=
B’s speed a

= 24 3
×
5 10

= 6/5

5 2
B’s speed = ×8 =6 km / hr
6 3
22. (A)

Let the annual profit be Rs. x

Amount earned by B in one year for working for the firm

= 120 × 12

= 1440

Rest profit = Rs. (x – 1440)

Share of each in this profit = Rs. x − 1440

2

Interest paid by B to A =
22500 × 10 × 1
100
= Rs. 2250

Total share of A = x − 1440 + 2250

2

x − 1440
Total share of B = + 1440 − 2250
2
According to question
1  (x − 1440)  (x − 1440)
 + 2250
=  + 1440 − 2250
2 2  2

= 1  x + 3060  = x − 3060
2 2  2

2x – 6120 = x + 3060

x = Rs. 9180

Hence option (a) is the correct answer

23. (D)

Percent of candidates who have solved all the questions = 5

Percent of candidates who have solved none = 5

90 × 25
Percent of candidates who have solved 1 question = = 22.5
100

90 × 20
Percent of candidates who have solved 4 question = = 18
100
Percent of candidates who have solved 3 question = 100 – (5 + 5 + 22.5 + 18 + 24.5 )

= 100 – 75

= 25

According to question

25 percent of candidates = 2000

2000 × 100
Total number of candidates =
25
=8000

Hence option (d) is the correct answer

24. (C)

when a dice is rolled, the probability of getting either 1 or 2 or 3 or 4 or 5 or 6 is 1/6

Expected value

1 1 1 1 1 1
× 3(1) + × 2(2) + × 3(3) + × 4(2) + × 3(5) + × 2(6)
6 6 6 6 6 6
 3 + 4 + 9 + 8 + 15 + 12 51
= =
6 6
= 8.5

25. (B)

we need to maximize 4x + 2y and maximize 3x + 7y

Also, 7x + 9y = 200

x Y 4x + 2y 3x + 7y
26 2 108 92
17 9 86 114
8 16 64 136
Hence required average

108 + 136
=
2
= 122

Hence option (b) is correct answer.

26. (E)

we have, AD = AF + FD

= 16 + 4 = 20cm

Since AD passes through O, so it will be diameter of the circles. Join meet the points O and C

AO = OC = OD =10cm

OF = OD – FD

= 10 – 4

= 6CM

in Δ OFC
(6, 8, 10) is the triplets

So,

FC= FE = 8cm

Area of pentagon = area of ABCD trapezium + are of Δ AED

1 1
= × (12 + 20) × 8 + × 8 × 20
2 2
= 128 + 80

= 208cm2

Hence option (e) is the correct answer

27. (A)

76 + 92 + 57 – (a +b +c) – 2x = 110 – N

2x + y = 155 + N,

x + y ≤ 110

(a + b + c = y)

Since lemon tea is liked by 57 guests

So, the maximum value of x can be 57

For minimum x,

x= 0, y = 115 (it’s not possible)

x =3, y = 109 (it’s not possible)
x =5, y = 105 (it’s possible)
So, minimum value of x can be 5

Hence required difference

57 – 5 = 52
Option (a) is correct answer

28. (E) Let the number be denoted by “abbc”

Given that a = c/2

Each number must be of the form 1bb2, 2bb4, 3bb6 or 4bb8

For each of the forms, there are 10 numbers ( for 10 values of b), i.e, a total of 40 numbers. The
average of n four digit numbers is equal to 1000A + 100B + 10C + D, where A, B, C, D are the
averages of the thousands hundreds, tens and unit digits

Here

A = 10(1 + 2 + 3 + 4)/40 = 2.5

B = 4(0 + 1 + 2 …..+ 9)/40 = 4.5

C = 40(0 + 1 + 2 …..+ 9)/40 = 4.5

D = 10(2 + 4 + 6 + 8)/40 = 5

Hence, average of all the numbers

= 1000A + 100B + 10C + D

= 1000 × 2.5 + 100 × 4.5 + 10 ×4.5 + 5

= 3000

Hence option (e) is the correct answer