INNATE TALENT – TCS NINJA & DIGITAL

19TH AUG 2022 – SLOT – 1 & 2

19th August – First Slot

Quants:

Questions 1: What is the sum of LCM and HCF of 5/18, 35/9 and 15/63?
1. 1475/252
2. 1475/126
3. 625/252
4. 625/126
Ans . 1475/126

Question 2: The reciprocal of a fraction is more than itself by 21/240. How much is the
difference between the possible values of the fraction more than 2?
1. 1/15
2. 1/16
3. 1/240
4. 1/256
Ans: 1/240

Question 3: A person invested ⅔ of his capital at the rate of 6% and ⅕ at the rate of 10%
and the remainder at the rate of 15%. If his actual income is 3,600 the capital will be:
1. Rs. 5000
2. Rs. 2500
3. Rs. 7,500
4. Rs. 4,500
Answer: 45000

Question 4: If 8^x+1 + 8^1-x = 20, then x = ?

1. ¼, -¼
2. ½. -½
3. ⅓, -⅓
4. ⅕, -⅕
Ans : c ⅓, -⅓

Question 5: At an academic institution the break-up of holidays in 2016 was as under.

 52 weekends
 30 days of summer vacation which includes 4 weekends
 Autumn and Winter Breaks of (10+10) days each inclusive of one weekend
 14 holidays on special occasion out of which one was a Saturday and one Sunday
What was the percentage (correct up to two decimal places) of the number of holidays?
1. 45.90%
2. 42.08%
3. 42.19%
4. 43.73%
Answer: 42.08

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Question 6:In a family of 10 adults and a few minors, the average consumption of flour is
12 kg. If the average consumption per adult and minor is 15 and 7 kg respectively.What is
the number of minors?(Averages)
1. 6
2. 7
3. 5
4. 8
Answer: 6

Question 7: A person lends 35% of his sum of money at 12.5% per annum, 50% at the end
of 10% per annum and the rest at 18% per annum rate of interest. What would be the
annual rate (in approx), if the interest is calculated on the whole sum?(SI & CI)
Options
1. 13%
2. 14.5%
3. 13.5%
4. 13.75%
Answer: 13.475% ~ 13.5%

Question 8: The average weight of 6 people increases from 24 to 31.5 kg when one of them
leaves the group and a new person joins in. If the weight of the person who joined is 60 kg,
find the weight of the person who left the group?(Average)
1. 22.5
2. 37.5
3. 15
4. 30
Answer: 15

Question 9: There are three types of alloys A, B and C. The ratio of Copper, Tin and Nickel
in A, B and C is 16:3:1 ,15:3:2 and 14:5:1 respectively. If the amount of A, B, and C 10 kg, 15
kg and 50 kg are mixed together respectively. Then, the final ratio of Copper Tin and Nickel
in mixture is equal to
1. 217 65 18
2. 217 65 81
3. 217 56 18
4. 127 65 18
Answer:217:65:18

Question 10: Rahul bought a watch which has Rs. 1,875 as a marked price at a 24%
discount. Rahul sold the watch to Rohit earning a 28% profit. Rohit then decided to sell the
watch and set the marked price at 25% higher than the cost price at which he bought the
watch. Mohit bought the watch from Rohit at a 15% discount on the marked price. Mohit
later marked up the price to 50% higher than the cost price at which he bought the watch
and sold it to Rahul at some discount. If Rahul had to pay Rs. 28.5 extra than the initial price
he paid, then at what percent discount Mohit sold the watch?(Profit and Loss)
1. 35%
2. 50%

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3. 45%
4. 40%

Question 11: If a road of 210 km can be constructed by 540 workmen in 28 days, how
many workmen are required to build a road of 150 km in 18 days.(Time and Work)
1. 600
2. 300
3. 650
4. 450
Answer: 600

Question 12: Two stations P and Q are 42 km apart. Rohit and mohit start from P to Q at
the speed of 6km/h and 8km/h, respectively mohit reaches Q first and return to meet rohit
at R. Determine the distance between P and R in km(Time Speed Distance)
1. 30
2. 36
3. 33
4. 27
Answer: 36 km

Question 13: The railway platform at a certain station is 248m long. In how many seconds
it is cleared by the Express train which is 127 m long and travels at a speed of 150
km/h?(Time Speed Distance)
1. 9
2. 12
3. 8
4. 10
Answer: 9 seconds

Question 14: Nookaraju and Bhavana have their salaries in 7:3. As Bhavana is skilled, she
got an increment of 5,000. But Nookaraju’ performance is not up to mark and he got a
decrement of $1,000. If their present salaries are in ratio of 1:1, then Nookaraju’s present
salary is: (Ratio and Proportion)
1. 8,500
2. 9,500
3. 15,000
4. 10,500
Answer: 9500

Question 15: The perimeter of a regular hexagon with area of 21 sqrt 3 cm^2
is: (Mensuration)
1. 12 sqrt 3
2. 6 sqrt 14
3. 9 sqrt 3
4. 7 sqrt 15
Answer: Option B – 6 sqrt 14

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Question 16: . If the first quartile Q1 = 28 and third quartile Q3 = 42 Then the coefficient of
quartile deviation is: (Elementary Statistics)
1. 1/5
2. 1/3
3. 1/4
4. 1/2
Ans – ⅕

Question 17: A farmer purchased a Trolley and a Tractor for 8,00,000. He sold the Tractor
at a profit of 30% and the Trolley at a loss of 10%, in this deal he got a profit of 3%. What is
the ratio of the cost price of tractor and trolley. (Profit and Loss)
1. 54:31
2. 27:13
3. 13:27
4. 13:54
Answer: Option C : 13:27

Question 18: The marked price of a marker is $$5\tfrac{5}{9}$$ % higher than it’s cost
price. A discount of $$5\tfrac{5}{19}$$ % is given on its marked price. Find the difference
between cost price and selling price. (Profit and Loss)
Answer: 1

Verbal:
Question 1. Parts of the given sentence have been given as options. One of them contains a
grammatical error. Select the option that has the error. (Error Identification)
A university training enables a graduate seeing things as they are, and to disentangle a
plethora of thoughts
1. to disentangle a plethora of thoughts
2. a graduate seeing things as they are
3. to go right to the point
4. A university training enables
Answer – a graduate seeing things as they are

Question 2. Identify the part of the sentence that has an error – (Error Identification)
I like to sit at the window for hours and see children playing in the park
Options:
1. I like to sit at
2. The window for hours
3. In the park
4. And see children playing
Answer – And see children playing

Question 3: Each sentence contains four underlined phrases. Three of these phases have
been correctly used, and one has been incorrectly used. Choose the phrase (from option)
which best replaces the wrong phrases in the sentence. (Sentence correction)

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Explorers embody the finest spirit in human nature which is to seek new challenges,
discover new worlds and create new frontiers and one such rare achievement of the
indomitable spirit is the ascending of Mount Everest by Hillary and Tenzing.
Options
1. Finer spirits
2. By the dominant
3. To have sought
4. The ascent
Answer – the ascent

Question 4: Select the most appropriate set of options to fill in the blanks.
Bill Gates dropped out from Harvard within a year, Then he formed Microsoft. “Microsoft’s
(A) _______ is a computer on every desk and Microsoft software on every computer.” Bill is a
visionary and works very hard to (B) ______ his vision. His belief in high intelligence and
hard work had put him where he is today. He does not believe in mere luck or God’s grace,
but just hard work and (C) ______. His beliefs are so powerful that they have helped him
increase his wealth and establish his (D) _______ in the industry.
(Sentence completion)
1. (A)Symbol (B) attain (C)investment (D) control
2. (A)target (B) progress(C)frankness (D) importance
3. (A)logo(B)believe (C)blessings (D) esteem
4. (A)vision (B) achieve (C)competitiveness (D) monopoly
Answer :- (A)vision (B) achieve (C)competitiveness (D) monopoly

Question 5. Select the most appropriate set of options to fill in the blanks.
Mexico is home to more species of oak than any country in the world, though many of them
are(1) ___ . In the case of the arroyo oak, as it is known, the species now faces a
particularly(2)__ problem. Though plenty of trees aged more than 100 years can be found,
locals(3)__ that in recent years there had been no seedlings that have sprouted from their
acorns in sight. For some reason, the trees had(4)__ stopped reproducing.
(Sentence Completion)
Blank 1 A. threaten B. threatened C. threatens D. threatening.
Blank 2 A. struggling B. troubling C. grieving D. agitating
Blank 3 A. regarded B. recognized C. noticed D. caught
Blank 4 A. commonly B. directly C. easily D. simply
1. 1-B, 2-B, 3-C, 4-D
2. 1-A, 2-B, 3-A, 4-D
3. 1-D, 2-A, 3-B, 4-C
4. 1-C, 2-D, 3-B, 4-B
Answer- 1-B (threatened), 2-B (troubling), 3-C, (noticed) 4-D (simply)

Question 6. Choose the most appropriate set of idioms that would fit in the blanks and
complete the text given here. (Idioms and phrases)
Sadhguru, the famous mystic, made several attempts to improve the nation’s rivers a few
years back. The government of India (1) _______ some of his ideas he had incorporated in the
union budget. However, his solutions were not received well in (2) __________. After bearing

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INNATE TALENT – TCS NINJA & DIGITAL
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these criticisms he decided not to provide any more solutions but to focus on the problem
itself. His strongest message?. We cannot (3) _______ to the fact that soil is being rejected,
whether it is concrete paving, denuding vegetation, use of chemicals etc. The soil is not
being given the respect it deserves. He has now (4) ______ of the politicians, the bureaucrats
and the technocrats to find and execute solutions, if the mystics of their job and things may
become missing . Of what good is the soul without the soul.
1. 1. Reflected upon 2. certain quarters 3. Turn a blind eye 4 put the ball in the court
2. 1. Reflected upon 2. A chunk of 3. Turned the other way 4. Gave up on
3. 1. Reflected upon 2. A cross section 3. Turned the other way 4. Given up
4. 1. Thought aloud 2. Certain section 3. Turn a deaf ear 4. Taken a back seat
Answer:- 1. Reflected upon 2. certain quarters 3. Turn a blind eye 4 put the ball in the
court

Question 7: Choose the sentence in which the underlined idiom has been used
appropriately. (Idioms and phrases)
1. The way Sanya’s obsessing over one doorknob when they’re renovating the entire
house makes one think that she can’t see the wood in the trees.
2. Marcus is so focused on product details that he can’t see the wood for the trees
when it comes to the overall needs of the company.
3. The safety officer can’t see the wood for the trees because she doesn’t know which
way to look.
4. Raman always argues on the silliest topics, it’s like he can’t see the tree for the
woods.
Answer – B

Question 8. Four idioms are given below. Choose their sequence that would fill in the
blanks and complete the text here.
Instead of the big crowd we expected, people arrived in _____ at the musical night. Alpana
Alam is a rising star and is usually able to _____. Even before the interval it was obvious that
the event was ____. Despite all this, Alpana herself was ______. (idioms and phrases)
1. A dead duck
2. Bring the house down
3. Full of beans
4. dribs and drabs

1. 1234
2. 4231
3. 4213
4. 1342
Answer – 4213

Question 9. Given below is a paragraph with five sentences, which are presented in a
jumbled order. Write down the best order which would form a meaningful, unified and
coherent paragraph. (Para Jumble)

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INNATE TALENT – TCS NINJA & DIGITAL
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1. We need to listen and act upon what birds are telling us, as they disappear ever
faster of about 11,000 species and spanning the globe, the populations of half of
them are falling, while just 6% are increasing
2. Birds truly are the canary in the coal mine – as indicators for the health of our
planet, given their sensitivity to ecosystem changes, their ubiquity around the panet,
and how well studied they are.
3. Conservation efforts have been successful at rescuing individual species in specific
locations from the brink, but political will and funding are needed to reverse the
global decline.
4. Bird populations are affected by the damage caused by human activity, from the
destruction of wild habitat , the climate crisis, the pesticides and other pollution to
over-hunting and impacts of alien species and diseases.
5. Billions of birds have been lost in recent decades in North America and Europe
alone, and while there are more species in the tropics, a higher proportion are at
risk of extinction in the temperate and largely richer nations.
Note:- this question had no options.
Answer – BADEC

Question 10.The four sentence (S1 to S4) paragraph below, Sentences S1 and S4 are given.
From the options P, Q, R and S, choose the appropriate sentences for this
respectively: (Sentence Arrangement)
S1. Placebos are essential to the design of reliable clinical trials.
S2. ______________
S3. _______________
S4. Red, Yellow and orange are associated with a stimulant effect, while blue and green are
related to tranquilizing effect; says Dr. A. J. de Craen.
1. Such studies have found that even the color of pills made a difference in placebo
results.
2. Their once-surprising effect on participants has become the focus of many studies.
3. Another argument says that by prescribing a placebo to placate a patient, the correct
diagnosis of a serious ailment might be postponed
4. At one time, placebos were only used in experiments as a control
Options
1. PS
2. PQ
3. QP
4. QS
Answer – QP

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INNATE TALENT – TCS NINJA & DIGITAL
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Logical:
Question 1: Identify the letter- cluster that does not belong to the following series. (Letter
Series)
CX, GT, EV, DW, HS, ZA, MN, UF
1. ZA
2. UF
3. HS
4. MN
Ans – HS

Question 2: Four pairs of letter-clusters have been given, out which three are alike in some
manner and one is different. Select the one that is different. (Letter Analogy)
1. TMKOLFXOY : TOMKLFXOY
2. PVMSYGCXN : VSPMYCGNX
3. XDSWZOIVK : XWSDZIKOV
4. FCHVOTFGW : VHFCOFGTW
Ans – TMKOLFXOY : TOMKLFXOY

Question 3: In a certain code language.

 P&Q means P is the son of Q
 P @ Q means P is the mother of Q
 P % Q means P is the brother of Q
 P # Q means P is the Husband of Q
Based on the above, how is K related to Q if ‘K % G & T # V @ S @ N % Q’? (Blood
Relations) (correct question)
1. Father
2. Father’s brother
3. Mother’s brother
4. Brother
Ans- Mother’s Brother

Question 4: Following are the criteria for the post of a Seniot Engineer in an electrical
company
1. Be in the range of 22 to 35 years as on 8 March 2017
2. Be a graduate in Electrical Engineering with at least of 60% marks
3. Have passed the recruitment test with a minimum of 70% marks
4. Be willing to deposit an amount of Rs 45000 as part of the agreement
If a candidate fulfills all the criteria except at (b) above, but has appeared in the last
semester and has secured at least 65% in the first semester (missin) to the director
If a candidate fulfills all the criteria except at (d) above, but is willing to pay at least 50% of
the deposit amount, and has secured 70% marks at the graduation (missing) referred to
the chairman.
Based on the above mentioned criteria and without assuming any additional information,
take a decision for the following application.
Raini D’Souza is an Electrical Engineering graduate with 70 % marks. She was born on 4
march 1982 and has obtained 76% marks in the recruitment test. (missing ) as depost

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1. Not to be selected
2. Data is incomplete
3. To be selected
4. Case to be referred to the chairman.

Question 5: Read the given statement and courses of action carefully and decide which of
the given courses of action logically follows: (Statement and Course of action)
Statement:
Despite the Hostel warnings, the student was caught exploding crackers secretly on the
hostel campus during the birthday celebration.
Course of actions:-
1. All the crackers should be taken away from the students and they should be
threatened not to do it again
2. The students should be severely punished for this wrong act.
1. Either I or II follows
2. Only II follows
3. Neither I not II follows
4. Only I follows
Ans. Either I or II

Question 6: 20 years ago Mohita was 22 years old, how old was she X years ago?
1. X – 42
2. 42
3. 42-X
4. 62-X
Ans. 42- X

Question 7: A question is given followed by two statements labelled I and II. Identify which
of the statements (Statements and Conclusion)
Question:-
Let p be the total number of males and q be the total number of females in a family. What is
the difference between P and Q?
Statement:-
1. Vipraja has six daughters, who have a brother, Vipraja is the wife of Shantanu
2. Shantanu is the father of six daughters. Kiran’s mother Vipraja is married to
Shantanu. Khan is a male

1. Statement I alone is sufficient

2. Either statement I alone or statement II alone is sufficient
3. Both statements I and II together are necessary
4. Statement II alone is sufficient
Answer – Statement I alone is sufficient

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Coding:
Question 1
Ayush is working on a strange algorithm where he wants to convert a string from A to B,
both the strings of equal length N
Below are the rules which can be performed to convert a string
 String A and B are of equal length
 Both of them are in lower case
 Choose a subset X from the string A, between the index 1 and N.
 Let ‘s’ be the letter which alphabetically comes before all other letters in the subset.
Let ‘s’ be called the ‘smallest element’ in the subset.
 Replace all the elements of subset with the letter ‘s’
Find the minimum number of moves which is required to perform the conversion. If it is
not possible to convert the string from A to b then return -1
Let us try to understand it with and examples
Suppose there are 2 strings
A = abcab
B = aabab
Operation 1:
Now we have chosen a subset S, let us say we have taken index 2,3,5 from A
Then the subset S becomes [bcb]
Next, we have to choose the smallest element , 6041 here, which is b here in b & c
Next, we have to replace all the other elements in subset with this element. So ‘b’ with
replace everything in [bcb]. which becomes [bbb].
Now we will place all the respective elements back to their respective index. This will
update the original string as [abbab]
Operation 2:
Original string [abbab]
Now we have chosen a subset S, let say we have taken a index 1,2,4 from A
Then the subset become [aba]
Next, we have to choose the smallest element, which is here in a & b.
Next, we have to replace the smallest with all the other elements in subset. So ‘a’ will
replace everything in [aba]
Now we will place all the respective elements back to their respective index. This will
update the original string as [aabab]
This is exactly same as String B
Hence it is possible to convert string A to B, with 2 operations. So, the answer is 2.
Example 1:
Input:
2-> Input integer, N
de-> input string, A
cd-> Input string, B

Output:
-1
Explanation:

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In the above example we can clearly see that there is an alphabet in A which is completely
different from B. hence it is not possible to convert A to B
So the answer is -1

Example 2:
Input:
4-> input integer, N
abab-> input string, A
abaa-> input string A
Output:
1 -> Output

Explanation:
Operation 1:
Now we have chosen a subset S, let say we have taken index 3,4 from A
Then the Subset S becomes [ab]
Next, we have to choose the smallest element, which is a here in a & b
Next, we have to replace the smallest with all the other elements in subset. So ‘a’ will
replace everything in [abl, which becomes [aa]
Now we will place all the respective elements back to their respective index. This will
update the original string as [abaa]
This is exactly same as String B
Hence it is possible to convert string A to B. with 1 operation. So, the answer is 1.
Constraints:
1. 1<=N<=1000
2. N integer
3. Only lower case letters of the English alphabet
4. Length of A,B = N

The input format for testing

1. First Input-Accept value of Integer, N.
2. Second Input-Accept value of string, A (Next Line)
3. Third Input-Accept value of string, B(Next Line)
The Output format for testing
1. The output is an integer as per above logic. (Check the output in Example 1, Example
21
2. Additional messages in output will cause the failure of test cases
Instructions:
1. System doesn’t allow any kind of hard coded input value/values.
2. Written program code by the candidate will be verified against the inputs which are
supplied from the system.
Python
n = int(input())
a = input()
b = input()
if a == b:

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 INNATE TALENT – TCS NINJA & DIGITAL
19TH AUG 2022 – SLOT – 1 & 2
print(1)
res, res2 = "", ""
for x in range(n):
if a[x] != b[x]:
res += a[x]
res2 += b[x]
ans = 0
for i in a:
if ans != 0:
break
if i not in b:
print(-1)
break
else:
for x in set(res2):
if x not in a:
print(-1)
ans += 1
break
else:
print(len(set(res2)))
ans += 1
break
if ans == 1:
break

Question 2:
Jack is a sports teacher at St. Patrick’s School. He makes games not only to make the
student fit, but So smart.
So, he lined up all the N numb class. of students in his class.
At each position he has fixed a board with the Integer number printed on it. Each of the
numbers are unique and are in exactly the range of N. Let us say there are 10 students, then
the boards will be printed with numbers from 1 to 10 in a random order given by the
sequence A[ ]
As a rule, all students wear a jersey with their numbers printed on it. So if there are
students, each will have a unique jersey number just like a football team.
Now, in the beginning, all the students will stand as per the increasing order of their jersey
numbers, from left to right.
The only difference will be their respective board number which is placed at their
respective location. The board location is fixed and cannot be changed. We can consider the
arrangement as below. Suppose there are students, and the board is placed in the order of
[2 3 1 5 4]
Board — 2, 3, 1, 5, 4
Student’s Jersey — 1, 2, 3, 4, 5
Now the game begins.

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 INNATE TALENT – TCS NINJA & DIGITAL
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 After every beat of the drum, each student will have to move to that location (index),
where his board is pointing to. In the above case student with jersey #1 is standing
with board #2, so now he will have to move to location #2. Similarly, all the other
students will do.
So after first beat of the drum, the alignment will be:
Board — 2, 3, 1, 5, 4
This keeps going on and on, until all the students are back the way they were at the
beginning. So, after 6 beats of the drum, all the students will be aligned the same way as
before.
Given N and the order of board of the respective positions, find the number of beats
required to bring back the students to their original position.
So, for the above case the answer is 6
Example 1:
Input:
3 Input integer, N
{1, 2, 3}->Input integer. B[], board alignment.
Output:
1 -> Output
Explanation:
All the students will be standing as board positions;
Board — 1, 2, 3
Student’s Jersey –1, 2, 3
After first beat of the drum:
Jersey #1 will move to index 1.
Jersey #2 will move to index 2.
Jersey #3 will move to index 3.
Hence, they will be back on their own position in just 1 beat.
So, the answer is 1.
Example 2:
Input:
5-> Input integer, N
{2, 3, 1, 5, 4}-> Input integer, B[ ], board alignment.
Output:
6-> Output
Explanation:
All the students will be standing as below, with the board positions:
Board — 2, 3, 1, 5, 4
Student’s Jersey — 1, 2, 3, 4, 5
After Beat-1of the drum:
Jersey #1 has moved to index 2.
Jersey #2 has moved to index 3.
Jersey #3 has moved to index 1.
Jersey #4 has moved to index 5.
Jersey #5 has moved to index 4.
Board – 2, 3, 1, 5, 4
Student’ s Jersey — 3, 1, 2, 5, 4

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After Beat-2 of the drum:
Jersey #3 has moved to index 2.
Jersey #1 has moved to index 3.
Jersey #2 has moved to index 1.
Jersey #5 has moved to index 5.
Jersey #4 has moved to index 4.
Board — 2, 3, 1, 5, 4
Student’s Jersey — 2, 3, 1, 4, 5
 After Beat-3 of the drum:
Board — 2, 3, 1, 5, 4
Student’s Jersey — 1, 2, 3, 5, 4
After Beat-4 of the drum:
Board — 2, 3, 1, 5, 4
Student’s Jersey — 3, 1, 2, 4, 5
After Beat-5 of the drum:
Board — 2, 3, 1, 5, 4
Student’s Jersey — 2, 3, 1, 5, 4
After Beat-6 of the drum:
Board — 2, 3, 1, 5, 4
Student’s Jersey — 1, 2, 3, 4, 5
Hence, they will be back on their positions after 6 beats.
So, the answer is 6.
Constraints:
 1<=N<=100000
 1 <=A[i] <= N
 All A[i] will be distinct numbers
 N and. Only Integers.
The input format for testing:
 First Input – Accept value of In1101
 Next ‘N’ Lines-Elements of sequence A[]
Coding Solution:
C++
#include <bits/stdc++.h>
#include
using namespace std;

int main()
{
int n;
int B[50], arr[50];

cout<<"Value of n "; cin>>n;

for(int i=0; i<n; i++){ int a; for(int j=n-1; j>0; i++){
cin>>a;
B[j]=a;
arr[i]=i+1;

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}
}
int ans=0;
while(true){
ans = ans+1;
int ar[n];
for(int i=0; i<n; i++){
ar[i] = arr[B[i]-1];
}
if(ar==sort(ar,ar+n)){
break;
}

arr = arr;
cout<<ans;

return 0;
}
Python
n = int(input())
B = []
arr = []
for i in range(n):
B.append(int(input()))
arr.append(i+1)

ans = 0
while 1:
ans += 1
ar = [None]*n
for i in range(n):
ar[i] = arr[B[i]-1]
if ar == sorted(ar):
break
arr = ar
print(ans)
Advanced Quants
Question 1: If the equation (1+ 2 ) x2 + 2 cx + (c2-a2) has equal roots, then a2 (1+ 2)=
______
 c2
1. -2
2. a2
3. -4

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Ans:
Question 2: A five-digit number is to be written using 1, 2, 3, 4 and 5 using each exactly
once such that the number is divisible by 4. How many such numbers are there?
Enter the answer in the space provided on the screen using the keyboard. Answer should
be in whole number without any symbols (E.g %, kms, ms, ₹ etc.)
Answer: 6

Question 3: What is the value of x for the below equation?

4 + 4√x-1 = 2√x+1?
Enter the answer in the space provided on the screen using the keyboard. Answer should
be in whole number without any symbols (E.g %, kms, ms, ₹ etc.)
Answer: 1

Question 4: Which of the following points lie in the region of inequations x ≥ 1, y≥ 1 and
x+y ≤ 6?
1. (4,2)
2. (3,2)
3. Both (2,5) & (4, 2)
4. (2,5)
Answer:

Question 5: The equation (k+3)x2 – 10(k+3)x + 15(k+9)=0, k≠3, has equal roots, then k=
_____
Enter the answer in the space provided on the screen using the keyboard. Answer should
be in whole number without any symbols (E.g %, kms, ms, ₹ etc.)
Answer:k = 6

Question 6: Find the ratio of the average sale of all the branches for the years 2020 and
2021?
1. 80:81
2. 66.5: 81
3. 88 : 76.5
4. 76.5 : 82
Answer: 76.5 : 82

Question 7: A metallic solid cube of side length 4cm is melted and made into a hallow
sphere of internal radius 3cm. What is the external radius of the sphere?
1. (24/ + 27)1/3
2. (48/ + 27)1/3
3. (24/ + 9)1/3
4. (48/ + 9)1/3
Answer: (48/ + 27)1/3

Advanced Logical
Question 1. The desired description of the role of an actress described by the screenplay is
an average-sized lady of age range 45 to 50 years, big body frame, with a grey head, large-
sized blue eyes, quite fair skin, smiling face and decently good looking According to the

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director and casting assistant of the film,there will be no compromise with the resemblance
of the character as described in the screenplay, no matter how talented they are. The
candidate who appeared for the screen test is a highly appreciated actress who has black
hair,big blue eyes,and quite a fair complexion. She is in her thirties and medium build. Will
the candidate be selected or not? (Answer: Selected/Not Selected )
Enter the answer in the space provided on the screen using the keyboard. Answer should
be in whole numbers without any symbols (e.g %,kms,ms ,etc)
Answer:- Not selected (not matching the physical characteristics)

Question 2. Rani gives 6 numbers to friends 1,2,3,4,5, and 6. All numbers are related to
different names i.e 1 is related to Amabad, 2 are Domabad, 3 are Taimabad, 4 are
chomabad, 5 pemanad, and 6 are chamabad. 1 is like to chamabad 3 and 4 like to Pemabad.
6 and 1 like to Taimabad, Pemabad, Domabad.
Which number like Pemabad and Taimabad but not Chambad?
Answer: 6

Question 3: Eight students namely 1,2,3,4,5,6,7 and 8 are seated around a circle facing the
center. 5 is second to the right of 3 who is the third of the ___________ of 2. 8 is third to the
right of 6 who is not an immediate neighbor of 1. Who is the second to the right of 5?
Answer: ______

Question 4: In certain code language JAVA is written as JVAA. How will MAWAA be written
in that language?
Answer: MWAAA

Question 5. A question is given, followed by two statements labelled l and II. Identify
which of the statements is/are sufficient to answer the question.
Question: In a dance school, the teacher made her five students B, L. P. R and D stand in a
row facing the north direction to distribute chocolates. Who among them stood to the
immediate left of R?
Statements:
1. B stands at one of the extreme ends. L stood between B and P
2. Only one student stands between P and D. D is not to the right of L

1. Data in statement Il alone is sufficient to answer.

2. Neither data in statement I nor II are sufficient to answer.
3. Data in statement I alone is sufficient to answer.
4. Data in both statements I and II are sufficient to answer.
Answer:- D

Question 6. In a certain code language, SUM is coded as NLVTTR and LATE is coded as
FDUSZMK. How will ROAST be coded in that language? (Here there should be FDUSZBMK)
1. SQPMBZTRUS
2. UTBPSSRZNQ
3. USTRBZPNSQ
4. ZPNSQUSTRB
Answer: USTRBZPNSQ

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Question 7. A statement is given followed by two arguments numbered I and II. Decide
which of the arguments is/are strong with respect to the statement/question.
Statement:
Each and every institute in india should be linked with an incubation centre
Arguments:
 Students will be aware of start-ups and how it can benefit the society
 Having more and more start-ups will help building economy of the nation

1. Neither argument I nor II strong

2. Argument II is strong
3. Both arguments I and II are strong.
4. Argument I is strong
Answer:- Argument I is strong

Question 8. A statement is given followed by three arguments numbered I, II and III.

Decide which of the arguments is/are strong with respect to the statement/question.
Statement:
Educational institutes at the school level should encourage extra-curricular activities along
with academic teaching
Arguments:
 Sports is a good career option for a student
 Extra-curricular activities enhance learning abilities.
 Extra-curricular activities help build a skill

1. Argument I is strong.
2. Arguments I, II and III are strong
3. Argument III is strong
4. Argument II is strong.
Answer: D

19th August – Second Slot

Quants:
Question 1: What will be the remainder when the square of the LCM of 4, 6, , 12, and 15 is
divided by the square of HCF of 51, 119 and 323?
1. 130
2. 136
3. 132
4. 134
ANSWER – 132

Question 2: The sum of the squares of two fractions is 1. It is given that one of them is
21/29. The sum and the product of the possible values of the other fractions are,
respectively, s & p. What is the value of (s-p)?

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Options
1. 441/841
2. 400/441
3. 400/841
4. 100/441

Question 3: The average age of Ram and Mohan is 2 years more than the average age of
Mohan and Jitesh. The average age of Jitesh and Ram is 12 years, which is 2 years less than
the average age of Mohan and Jitesh. What is the age of Jitesh?
Options
1. 12 years
2. 8 years
3. 10 years
4. 14 years

Question 4: The present ages of four persons are in the ratio 1:2:3:4. The average of their
ages seven years ago was 28 years. What will be the average age (in years) of the youngest
and the oldest among them, five years from now?
1. 32
2. 36
3. 35
4. 40
Answer – 40

Question 5: A metallic cuboid is processed by way of which its length, breadth and height
increased by 10% and decreased by 8% and increased by 5% respectively. What is the
percentage (Correct upto 2 decimal values) change in its volume?
Options
1. Increases by 6.26%
2. Increases by 1.20%
3. Decreases by 1.20%
4. Decreases by 6.26%
Answer: Decreases by 6.26%

Question 6: A shopkeeper sold his 25%, 30% and 20% of the items at a profit of 10%,
20% and 30% respectively. The rest of the items are sold at cost price. What is the
percentage of profit of all his sale?
1. 14.5%
2. 12.5%
3. 15.5%
4. 13.5%
Answer:14.5%

Question 7: What will be the compound interest earned on an amountof rs. 16800 in
1(3/4)yearsat the rate of 6.25% per annum?
1. 1050

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2. 2367
3. 1887
4. 9147
Answer:2367

Question 8: Three containers A, B and C are filled with milk part ¼ part of A is put into B.
Now ⅓ part of B is put into C. Again 5/11 part of C is put into A. In the end, ¼ part of A is
put into B again. Now the final amount of milk in each container is 6 litres. The initial
quantity (in litres) of milk in each container, respectively is equal to:-
1. 4,5,9
2. 3,7,8
3. 3,6,9
4. 4,7,7
Answer:4,5,9

Question 9: Shyam purchases 20% extra quantity of milk than indicated and sells 20% less
than edit and he claims to sell the milk at cost price.Ram wants to earn the same percentage
of profit as Shyam without any dishonesty, so Ram sells milk at 39 per litre. What is the cost
price of 1 litre of milk for Ram ?
1. 26
2. 23
3. 21
4. 28
Answer:28
Question 10: Two persons are moving towards each other in the opposite directions at 21
km/h and 17 km/h. The total distance between them is 19km. In how long will they meet?
1. 30 min
2. 50 min
3. 60 min
4. 40 min
Answer: 30 min

Question 11: A cone and sphere has the same radius of 18cm. If the cone and the sphere
have the same volume,then what is the height (in cm ) of the cone ?
1. 66
2. 60
3. 54
4. 72
Answer: 72 cm
Question 12: If the quartile deviation of a series is 125,then the mean deviation of the
series is: (wrong question)
1. 149
2. 151
3. 150
4. 152
Answer: Mean Deviation is the mean of all the absolute deviations of a set of data.

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Quartile deviation is the difference between “first and third quartiles” in any
distribution.
Mean Deviation = 4/5 × Quartile deviation = 4/5 *125 = 100

Question 13: The ratio of the numbers of boys and girls in a school is 5:9,and the total
number of students is 224. If 64 girls left the school and some boys joined, the ratio
becomes 6:5.Find the number of boys who joined?
1. 15
2. 16
3. 13
4. 14
Answer: 16
Question 14 : 5 men and women can earn Rs 2862 in 9 days and 9 men and 12 women can
earn Rs 6000 in 8 days. In how many days can 7 men and 9 women earn Rs 11,991?
1. 21 days
2. 19 days
3. 20 days
4. 17 days
Answer:

Question 15: Rhythm spends 16 ⅔ % of her monthly income on food, 5 5/19 % on

entertainment and 8 ⅓% on travelling. She saves the leftover money, which is Rs 15,900.
Find the monthly income in Rs.
No options given

Question 16: A policeman saw a thief from a distance of 100 metres.He started chasing
him at a speed of 4 metres per second. On seeing the policeman,The thief started running at
a speed of 2 metres per second . Determine the distance run by the policeman to catch the
thief. ( In metres)
1. 100
2. 200
3. 250
4. 150
Answer – 200 m

Question 17: A person distributed 72% of the money he had between Ram and Raj in the
ratio of 5 : 7 respectively. Ram and Raj deposited the amount received in a scheme offering
8% and 10% simple interest, respectively, for 10 years. Find the amount in Rs left with the
person if the sum of interests earned by Ram and Raj after 10 years is Rs 6,600.
Answer – 2800

Question 18 : Study the following table and answer the question that follows
Percentage of marks obtained by 6 students in five different subjects in a school
examination.

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Student English Mathematics Science Hindi Social Studies
_________ (50) (100) (100) (50) (75)
Students
A 66 89 80 78 84
B 58 58 79 82 60
C 62 62 77 84 88
D 72 72 67 74 68
E 70 70 81 76 64
F 64 83 60 88 68

What are the total marks obtained by D in all the subjects together?
Answer:- 317
Question 19: If simple interest is offered per year on a sum of money invested for five
years, the amount of money payable on maturity after the five years elapse is Rs. 2, 340.
However, if the sum was invested for only two years , the amount payable on maturity
would be 2016. What is the original sum invested?
1. Rs. 1750
2. Rs. 1800
3. Rs. 1600
4. Rs. 2000

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