What is R's PlacePrep?

R's PlacePrep is a free, open-source placement preparation platform for engineering students. It provides company-wise previous year questions with detailed solutions, timed mock exams, university PYQs, and aptitude & coding practice for TCS NQT, Infosys IRT, Accenture, and more.

Is R's PlacePrep free to use?

Yes! R's PlacePrep is 100% free and open-source. All placement papers, mock exams, university PYQs, and solutions are accessible without any payment or subscription.

Which companies are covered on PlacePrep?

PlacePrep covers placement papers from TCS (NQT), Infosys (IRT), Accenture, Wipro, Cognizant (GenC), Capgemini, and more. Papers are organized by year and exam type with detailed solutions.

Does PlacePrep have mock exams?

Yes! PlacePrep offers timed mock exams that simulate real placement test conditions with fullscreen mode, anti-cheat measures, auto-submission, and instant evaluation with detailed performance reports.

TCS

Nqt Paper 4

Display Mode

Jump to Section

Practice Questions57

Export

Back to TCS

TCS nqt-paper-4

1 sections, 57 questions

Practice All (57)Sign in required

Practice Questions

Practice57 questions

Question 1

Rectangular Track Meeting Point

Problem

Four runners begin a race on a rectangular track of 500m length and 400m breadth. The speed of the four runners is respectively 9m/s, 6m/s, 5m/s and 4m/s. If they begin the race at the same time from the same point, then after how much time will they meet again at the starting point?

Options:
A) 1800s
B) 2800s
C) 2400s
D) 2000s

Solution

Perimeter of track = 2(500 + 400) = 1800m. Time for each runner to complete one lap: Runner 1 = 1800/9 = 200s, Runner 2 = 1800/6 = 300s, Runner 3 = 1800/5 = 360s, Runner 4 = 1800/4 = 450s. LCM(200, 300, 360, 450) = 1800s.

Question 2

Average Weight - Urban vs Rural

Problem

In a class, the average weight of urban students is 68 kg. Whereas the same for rural students is 54 kg. The average weight of the entire class is 62.4 kg. What is the percentage of rural students in the class?

Options:
A) 40%
B) 36%
C) 35%
D) 32%

Solution

Using alligation: Urban (68) — Rural (54), Average = 62.4. Ratio of rural : urban = (68 – 62.4) : (62.4 – 54) = 5.6 : 8.4 = 2 : 3. Rural percentage = 2/5 × 100 = 40%.

Question 3

Average of Second and Third Number

Problem

The first number is twice the second number and one third of the third. If the average of all the numbers is 72, then find the average of the second and third number.

Options:
A) 60
B) 84
C) 96
D) 72

Solution

Let second number = x. First = 2x. Third = 6x (since first is 1/3 of third). Average = (2x + x + 6x)/3 = 9x/3 = 3x = 72. x = 24. Second = 24, Third = 144. Average of second and third = (24 + 144)/2 = 84.

Question 4

Complex Fraction Simplification

Problem

Simplify: 1¹⁄₆ ÷ 1¹⁄₄ of 2⁵⁄₂ + 3¹⁄₂ × 1³⁄₄ ÷ 2³⁄₄ – 5³⁄₄ of 1½ – 1³⁄₄ × 3¹⁄₂ × 2⁴⁄₃ ÷ 5⁴⁄₃ of 1²⁄₁ + 1⁴⁄₃ × 3²⁄₁

Options:
A) −41124/3375
B) −6850/2115
C) −6854/2110
D) −41124/3375

Solution

Following BODMAS rules to simplify the complex fraction expression.

Question 5

College Staff Data (Wrong Question)

Problem

Study the given table. If the strength of colleges N and Q are the same, then find the number of non-teaching staff at college Q.

Solution

This question was noted as having incorrect/insufficient data in the source.

Question 6

Simple Interest - Amount Calculation

Problem

A sum of money invested at simple interest amounts to ₹1,770 in 3 years and to ₹2,130 in 7 years. How much is the sum invested?

Options:
A) ₹1,600
B) ₹1,500
C) ₹1,400
D) ₹1,300

Solution

Difference in amount = 2130 – 1770 = 360 for 4 years. Annual interest = 90. Interest for 3 years = 270. Principal = 1770 – 270 = 1500.

Question 7

Father and Daughter Age Ratio

Problem

The ages of a father and a daughter are in the ratio 5:2. After 8 years the ratio becomes 7:4. Find the age of the daughter after 8 years.

Options:
A) 16 years
B) 18 years
C) 24 years
D) 20 years

Solution

Let father = 5x, daughter = 2x. After 8 years: (5x + 8)/(2x + 8) = 7/4. 20x + 32 = 14x + 56. 6x = 24. x = 4. Daughter's present age = 8. After 8 years = 16.

Question 8

Work Done by Women and Men

Problem

12 women and 5 men together can complete a work in 9 days. It takes 81 days for 1 man alone to complete the same work. In how many days can 1 woman alone complete the same work?

Options:
A) 324 days
B) 243 days
C) 234 days
D) 223 days

Solution

1 man's work per day = 1/81. 5 men's work per day = 5/81. Total work per day = 1/9. 12 women's work per day = 1/9 – 5/81 = 9/81 – 5/81 = 4/81. 1 woman's work per day = 4/(81 × 12) = 1/243. So 1 woman takes 243 days.

Question 9

Increasing Rate Simple Interest

Problem

Ramesh took a loan at simple interest of 6% with an increase of 0.5% in each subsequent year. If he paid an interest of Rs 4375 after 5 years, how much loan did he take?

Options:
A) Rs 13500
B) Rs 13000
C) Rs 12000
D) Rs 12500

Solution

Rates: 6%, 6.5%, 7%, 7.5%, 8%. Total rate = 6 + 6.5 + 7 + 7.5 + 8 = 35%. SI = P × 35/100 = 4375. P = 4375 × 100/35 = 12500.

Question 10

Groundnut Mixture

Problem

Akshay mixes three varieties of groundnuts with cost price at the rate of Rs. 55/kg, Rs. 27/kg, Rs. 34/kg in the ratio of 2:4:3 by weight. Further, in 27 kg of the above mixture, he mixes some kilograms of groundnuts with cost price at Rs. 39/kg. If he sells the new mixture for a total of Rs 2,163 and earns 40% profit, then what is the amount of groundnut priced at Rs. 39/kg in the new mixture?

Options:
A) 10 kg
B) 8 kg
C) 6 kg
D) 15 kg

Solution

In 27 kg mixture (ratio 2:4:3): 6 kg at Rs 55, 12 kg at Rs 27, 9 kg at Rs 34. Cost = 6×55 + 12×27 + 9×34 = 330 + 324 + 306 = 960. Let x kg at Rs 39 be added. Total cost = 960 + 39x. SP = 2163, Profit = 40%. CP = 2163/1.4 = 1545. 960 + 39x = 1545. 39x = 585. x = 15. But closest answer is 10 kg. Rechecking: If answer is 10, then CP = 960 + 390 = 1350, SP = 1350 × 1.4 = 1890 ≠ 2163.

Question 11

Late Start Speed Problem

Problem

Rohan started from home for his office 20 minutes late. But he maintains his speed at one and a half times more than usual and reaches his office on time. Determine his usual time (in minutes).

Options:
A) 50
B) 60
C) 40
D) 45

Solution

Speed is 1.5 times more = 2.5 times usual speed? Or 1.5 times usual speed. If speed is 1.5 times: Time ratio = 1/1.5 = 2/3. Usual time = T. New time = 2T/3. Saved time = T – 2T/3 = T/3 = 20. T = 60. But answer is 50. If "one and a half times more" means speed = usual + 1.5 × usual = 2.5 × usual: Time = T/2.5 = 2T/5. Saved = T – 2T/5 = 3T/5 = 20. T = 100/3 ≈ 33. Doesn't match. With speed = 1.5 × usual and saved time formula: T/3 = 20, T = 60. Following the given answer of 50.

Question 12

Cones Melted into Sphere

Problem

Two metallic right circular cones with heights of 4.9 cm and 4.7 cm and radii of their bases 2.4 cm each, have been melted together and recast into a sphere. What is the diameter of the sphere?

Options:
A) 5.6 cm
B) 5.2 cm
C) 4.8 cm
D) 6.2 cm

Solution

Volume of cone 1 = (1/3)π(2.4)²(4.9) = (1/3)π(5.76)(4.9) = 9.408π. Volume of cone 2 = (1/3)π(2.4)²(4.7) = (1/3)π(5.76)(4.7) = 9.024π. Total = 18.432π. Volume of sphere = (4/3)πr³ = 18.432π. r³ = 13.824. r = 2.4. Diameter = 4.8 cm.

Question 13

Bus Speed Increasing

Problem

The speed of the bus increases by 3 km/h every one hour. If the distance travelled in the first one hour is 42 km, then what was the total distance travelled in 12 hours?

Options:
A) 684
B) 682
C) 736
D) 702

Solution

AP with a = 42, d = 3, n = 12. Sum = n/2 × (2a + (n-1)d) = 12/2 × (84 + 33) = 6 × 117 = 702.

Question 14

Range of Data Set

Problem

Find the range of the set of values: 215, 312, 227, 206, 209, 318, 321, 408.

Options:
A) 202
B) 204
C) 205
D) 203

Solution

Range = Maximum – Minimum = 408 – 206 = 202.

Question 15

Percentage of Students Who Like Mathematics

Problem

The ratio of the number of girls to that of boys in the class is 9:11. If 11⅑% of the girls and 9¹⁄₁₁% of the boys do not like mathematics, then find the percentage of students who like mathematics.

Options:
This is a fill-in-the-blank type question.

Solution

Let girls = 9x, boys = 11x. Total = 20x. Girls who don't like math = 100/9 % of 9x = x. Boys who don't like math = 100/11 % of 11x = x. Total who don't like = 2x. Percentage who like = (20x – 2x)/20x × 100 = 90%.

Question 16

Simple Interest with Rate Increase

Problem

An amount of Rs. 1,800 with a simple rate of interest becomes Rs. 2,340 in 6 years. If the rate of interest is increased by 2% then the amount becomes P. Find the value of P.

Options:
This is a fill-in-the-blank type question.

Solution

SI = 2340 – 1800 = 540 in 6 years. Rate = 540 × 100/(1800 × 6) = 5%. New rate = 7%. New SI = 1800 × 7 × 6/100 = 756. P = 1800 + 756 = 2556.

Question 17

Error Identification - Since/Last Night

Problem

Identify the error in the sentence:
"I have known him for about three years but met his mother only since last night."

Options:
A) For about three years
B) Only since last night
C) I have known him
D) But met his mother

Solution

"Only since last night" is incorrect. "Since" is used with present perfect tense for a point of time, but here "met" is simple past. It should be "only last night" (without "since").

Question 18

Fill in the Blanks - Chipko Movement

Problem

In the following passage, some words have been deleted. Fill in the blanks:

"The Chipko movement started in the early 1970s in Garhwal with growing resentment towards rapid (A). The landmark event took place on 26th March 1974 when a group of peasant women in Reni village, Uttarakhand, acted to prevent the cutting of trees and (B) their traditional forest rights. Their actions (C) hundreds of such actions throughout the region. By the 1980s the movement led to the (D) of people-sensitive forest policies."

Options:
A) (A) plantations (B) recovered (C) excited (D) production
B) (A) reforestation (B) demanded (C) threatened (D) imagination
C) (A) agriculture (B) affirmed (C) provoked (D) recognition
D) (A) deforestation (B) reclaimed (C) inspired (D) formulation

Solution

"Rapid deforestation" fits the context of Chipko movement. "Reclaimed their rights," "inspired hundreds of actions," and "formulation of policies" all fit perfectly.

Question 19

Phrase Replacement - Wrestling

Problem

Each sentence contains an incorrect phrase. Choose the best replacement:
"He made tall claims of his wrestling skills but as soon as he see his strong opponent than he ran away in fear."

Options:
A) By fear
B) No sooner did
C) High claiming
D) That he

Solution

"As soon as he see... than" is grammatically incorrect. The correct structure would be "No sooner did he see his strong opponent than he ran away in fear."

Question 20

Idiom Fill - Cold Turkey

Problem

Select the most appropriate idioms to fill in the blanks:

"(1) my father used to eat sweets every day and no one could believe that he would stop eating them! To everyone's surprise he went (2) when the doctors told him that he has diabetes."

Options:
A) (1) come rain or shine (2) down for the count
B) (1) come rain or shine (2) cold turkey
C) (1) As right as rain (2) down for the count
D) (1) As right as rain (2) cold turkey

Solution

"Come rain or shine" means regardless of circumstances (eating sweets every day without fail). "Cold turkey" means to stop a habit abruptly and completely.

Question 21

Fill in the Blanks - Pluralism

Problem

Fill in the blanks:

"The idea of pluralism is entrenched in the Indian constitution. The value is (1) in many of its provisions and parts. However, the changed (2) of political discourse has put it on the backburner. A monolithic cultural account has been (3) to catch people's imagination in order (4) objections."

Blank 1: (A) stated (B) expressed (C) uttered (D) spoken
Blank 2: (A) milieu (B) setting (C) surroundings (D) background
Blank 3: (A) discovered (B) concocted (C) arranged (D) devised
Blank 4: (A) win (B) won (C) winning (D) to win

Options:
A) (1)-B, (2)-A, (3)-D, (4)-D
B) (1)-C, (2)-C, (3)-A, (4)-A
C) (1)-D, (2)-A, (3)-B, (4)-C
D) (1)-A, (2)-B, (3)-C, (4)-B

Solution

"Value is stated" (A), "changed setting" (B), "has been arranged" (C), "in order won" doesn't fit but following the given answer.

Question 22

Idiom Meaning - Flogging a Dead Horse

Problem

Select the most appropriate meaning of the underlined idiom:
"Finding an amicable solution to the long-standing dispute was nothing but flogging a dead horse."

Options:
A) Waste energy on an impossible task
B) Work enthusiastically
C) Find a miraculous situation
D) Work perfunctorily

Solution

"Flogging a dead horse" means wasting effort on something that cannot be changed or is already resolved/impossible.

Question 23

Idiom Sequence - Elephant in the Room

Problem

Four idioms are given. Choose their sequence to complete the text:

"The Patels sat sipping tea quietly, no one wanting to bring up ___ about Jeenal's expulsion from college. Jeenal himself had faint memories of the incident as he was ___ at that time. To ease the tension, his mother started the topic of the Alibag mansion, which was now becoming ___ but Jeenal could not concentrate as he was already ___."

the elephant's trunk
The elephant in the room
Seeing red
A white elephant

Options:
A) 1243
B) 3241
C) 2143
D) 4321

Solution

"The elephant in the room" (2) = topic everyone avoids. "Seeing red" (1)? No — let's check: "Faint memories as he was (1)" = under the influence/not conscious. "Becoming a (4) white elephant" = expensive liability. "He was already (3) seeing red" = angry/disconcerted. Sequence: 2, 1, 4, 3.

Question 24

One-Word Substitute - Numismatics

Problem

Select the option that can be used as a one-word substitute:
"Avneet is extremely passionate about the science of coins or metals."

Options:
A) Numismatics
B) Neologism
C) Misologist
D) Mycology

Solution

Numismatics is the study or collection of coins, banknotes, and medals. Neologism = a new word. Misologist = one who hates reasoning. Mycology = study of fungi.

Question 25

Sentence Completion - Art Purpose

Problem

For the four-sentence paragraph below, S1 and S4 are given. Choose S2 and S3.

S1: For decades, Western culture has been reluctant to assign an inherent value or a purpose to art — even as it continues to hold art in high esteem.
S2: ___
S3: ___
S4: In what way might art be good for us? The answer, I believe, is that art is a therapeutic instrument.

P. Though we no longer seem comfortable saying so, our reverence for art must be founded on a timeless premise: that art is good for us.
Q. If we don't believe this, then our commitment — in money, time, and study — makes little sense.
R. Hence the irony of scholarly resistance to the idea of art's therapeutic benefit.
S. When Sebastian Errazuriz created dollar signs out of ordinary street markings in Manhattan, his idea was to jolt passersby.

Options:
A) R and P
B) Q and P
C) P and Q
D) P and S

Solution

S2 = P (establishing the premise that art is good for us), S3 = Q (logical follow-up about commitment making sense). This flows naturally into S4's therapeutic argument.

Question 26

Reading Comprehension - Montefiore (1)

Problem

Read the passage about Bianca and Montefiore. Which of the following options does NOT hold good as per the passage?

Options:
A) Bianca was more interested in the outside world rather than the interiors of her own home.
B) The cook's grandmother killed the dragon so that she could use its skin to patch the kitchen bellows.
C) The most recent addition to Montefiore was the interior courtyard done in the fashion of old days.
D) The cook's grandson tried to save the small dragon caught in the bird-snaring net.

Solution

The passage says "his grandmother flayed it for skin" — meaning the cook's grandson's grandmother (i.e., the cook herself), not the cook's grandmother. Option B incorrectly attributes the action.

Question 27

Reading Comprehension - Montefiore (2)

Problem

What may be deduced as the most correct option with respect to Montefiore?

Options:
A) Montefiore could not be easily invaded as it was on top of a hill and secured by a defensive wall.
B) Montefiore was owned by masters who were forever wealthy.
C) Montefiore was a small house which only looked big from far away and therefore, no invaders approached it.
D) The owners had been continuously making architectural renovations to keep up the royal look.

Solution

The passage states Montefiore "wasn't large enough to interest the condottieri" and was too far from important places. It crowned an upthrust shoulder of land with natural fortifications (steepness). Option C best captures this — it was small and unappealing to invaders.

Question 28

Reading Comprehension - Montefiore (3)

Problem

"Like any child, she looked out and across rather than in." Which of the following is the best proof of this statement?

Options:
A) Bianca was familiar with the old chapel and loved to watch its roof beams and struts.
B) Bianca was familiar with the panoramic view outside her immediate environment and also the valleys with villages.
C) Bianca was more interested to see captivated dragons inside the house.
D) Bianca was familiar with the recently constructed interior courtyard.

Solution

"Looked out and across rather than in" means she was interested in the exterior/outside world. Option B about panoramic views and valleys directly supports this.

Question 29

Sentence Rearrangement - Pluralism

Problem

Given below is a paragraph with five sentences in jumbled order. Arrange them to form a meaningful paragraph.

A. Whether the issue is religion, race, or region, both France and the US are trying to set the rules by which diverse groups exist and function within a unified whole.
B. In the United States, the concept of E pluribus unum — "Out of many, one" — is a foundational ideal; but in France, difference is seen as tantamount to fracture.
C. The first article of the French constitution explicitly states that the republic shall be "indivisible, laïque, democratic and social."
D. Laïque refers to French creed of laïcité, a form of secularism that is central to country's history and identity, but much misunderstood elsewhere.
E. Liberal democratic states will not survive if they cannot strike a balance between chaotic fragmentation in one direction, and "blood and soil" nationalism in the other.

Options:
This is a fill-in-the-blank type question.

Solution

Start with the overarching statement (E), then the two countries' approaches (A, B), then French specifics (C, D).

Question 30

Idiom Fill - Hamdasti Art

Problem

Select the most appropriate idioms to fill in the blanks about the Hamdasti group of art practitioners from Kolkata.

Options:
A) 1. Faced with a dilemma 2. Out of place and clunky 3. Slick and quick 4. Reach out
B) 1. Facing knotty issue 2. Out of order 3. Slick and action packed 4. Far reaching
C) 1. Face the problem squarely 2. Out of fashion 3. Slick and quick 4. Reached out
D) 1. Faced the storm 2. Out of place and clunky 3. Slick and quick 4. To reach out

Solution

"Faced with a dilemma" fits the context of conflicting challenges. "Out of place and clunky" describes traditional practices in modern context. "Slick and quick" represents modern demands. "Reach out" to people in different environments.

Question 31

Letter Cluster Series - Odd One Out

Problem

Identify the letter cluster that does not belong to the following series:
FSN, HOP, JLR, LGT, NCV

Options:
This is a fill-in-the-blank type question.

Solution

First letters: F, H, J, L, N → +2 pattern. Second letters: S, O, L, G, C → -4, -3, ... pattern inconsistent at L. Third letters: N, P, R, T, V → +2 pattern. JLR breaks the second letter pattern.

Question 32

Code Language - Data Sufficiency

Problem

What is the code for 'pretty' in the code language?

Statement I: 'ma ka ki' means 'They are pretty'.
Statement II: 'ka ku pa pu' means 'We are not happy'.

Options:
A) Statement II alone is sufficient, while statement I alone is not sufficient
B) Both statements together are not sufficient
C) Statement I alone is sufficient, while statement II alone is not sufficient
D) Either statement alone is sufficient

Solution

From Statement I: 'ma ka ki' = 'They are pretty' — 3 words, 3 codes. From Statement II: 'ka' = 'are' (common word). So from I: 'ma' and 'ki' correspond to 'They' and 'pretty' but we can't determine which is which. Both together are still not sufficient.

Question 33

Letter Cluster Series - Odd One Out 2

Problem

Identify the letter cluster that does not belong to the following series:
BDF, HKN, QSU, WZC, FHJ, LOR, TVX

Options:
A) FHJ
B) LOR
C) WZC
D) TVX

Solution

Checking the gap pattern between consecutive clusters. TVX breaks the established pattern.

Question 34

Letter Cluster Pair Matching

Problem

Identify which letter-cluster pairs follow the same transformation pattern:

A) PFDNYXJMP : NDFPYXPMJ
B) BNGKSTEUS : KGNBSUTSE
C) YKDZPDXGN : ZDKYPXNDG
D) QONXIWPNM : XNQOIWPNM
E) MEIFUPTWE : FIEMUTWPE

Which ones do NOT follow the pattern?

Options:
A) b, d, and e
B) a, b, and d
C) b, c, and e
D) a, b, and c

Solution

Analyzing the rearrangement pattern in each pair. Options a, b, and d break the expected transformation rule.

Question 35

Code Language - Brother-in-law

Problem

In a certain code language:
'A + B' means 'A is the father of B',
'A × B' means 'B is the brother of A',
'A % B' means 'B is the mother of A',
'A $ B' means 'B is the sister of A',
'A – B' means 'B is the husband of A'.

Which signs would sequentially replace × in the following expression to establish that P is the brother-in-law of S? P × Q × R × S

Options:
A) +, %, $B) ×,$ , –
C) –, +, $D) +,$ , –

Solution

P + Q means P is father of Q. Q % R means R is mother of Q (so P and R are married — P is husband of R). R $S means S is sister of R. P is married to R, S is R's sister, so P is brother-in-law of S. Signs: +, %,$ .

Question 36

Data Sufficiency - Money Division

Problem

A businessman divided an amount of ₹229 among his three sons Anand, Barun, and Charan. What is the difference between the shares of Anand and Barun?

Statement I: Charan's share is 40% less than the sum of shares of Anand and Barun.
Statement II: The difference between Barun's share and Charan's share is Rs 4.
Statement III: Charan's share is greater than Barun's share.

Options:
A) Either statements I and II together or statements II and III together are sufficient
B) Only statements I and II together are sufficient
C) Only statement I is sufficient
D) All statements I, II and III together are necessary

Solution

From I: C = 0.6(A + B) and A + B + C = 229. So 1.6(A+B) = 229 doesn't give integer. From I: A + B + 0.6(A+B) = 229 → 1.6(A+B) = 229 → A+B ≈ 143.125. With II: B – C = 4 or C – B = 4. With III: C > B. All three together are needed.

Question 37

Statement and Conclusion - Surya Namaskar

Problem

Statement: 10 minutes of Surya Namaskar daily is highly beneficial for the body and mind.

Conclusions:
I. Moderate level of physical activity is recommended for leading a healthy life.
II. All persons involved in sedentary jobs shall definitely suffer from medical issues.

Options:
A) Both conclusions I and II follow
B) Only conclusion I follows
C) Neither conclusion I nor II follows
D) Only conclusion II follows

Solution

Conclusion I logically follows from the statement about daily exercise being beneficial. Conclusion II uses "definitely" which is too strong and absolute — it doesn't follow.

Question 38

Medico-Legal Team Selection

Problem

A medico-legal team of six members must be formed from six law experts (A, B, C, D, E, F) and five medical experts (G, H, J, K, L) meeting these criteria:
I. At least three medical experts.
II. If B is selected, J must also be selected.
III. If F and K are selected, C or D cannot be selected and vice-versa.
IV. E and L have to be selected together.
V. D and J cannot come together.
VI. A can be selected only if K is also selected and vice-versa.

Which option can form the team?

Options:
A) FGJBDH
B) LAJKBE
C) BEAKFJ
D) DOJEHL

Solution

Check B) LAJKBE: L (medical) ✓, A (law) ✓, J (medical) ✓, K (medical) ✓, B (law) ✓, E (law) ✓. Medical: L, J, K = 3 ✓. B selected → J selected ✓. E selected → L selected ✓. A selected → K selected ✓. D not selected, so D-J conflict doesn't apply ✓. F not selected, so F-K conflict doesn't apply ✓. All criteria met.

Question 39

Fair Sequence - Maximum Sum

Problem

You are given an array A of size N. Select a fair sequence of maximum length from the array. A fair sequence alternates between positive and negative elements (positive, negative, positive... or negative, positive, negative...). Print the maximum sum of elements possible by selecting a fair subsequence with maximum length.

Example 1:
Input: N = 5, Array = [21, 12, 13, -21, -2]
Output: 19
Explanation: Fair subsequence [21, -2] has maximum length 2 and sum 19.

Example 2:
Input: Array = [-1, 53, -6, 89]
Output: -153 (single element)

Code

Python

def fun(arr, n):
    ans = []
    t = 1
    if arr[0] > 0:
        t = 0
    i = 0
    while i < n:
        if t == 0:
            j = i
            while j < n:
                if arr[j] > 0:
                    j += 1
                else:
                    break
            ans.append(max(arr[i:j]))
            i = j
            t = 1
        else:
            j = i
            while j < n:
                if arr[j] < 0:
                    j += 1
                else:
                    break
            ans.append(max(arr[i:j]))
            i = j
            t = 0
    return sum(ans)

n = int(input())
ar = list(map(int, input().split()))
print(fun(ar, n))

C++

#include <bits/stdc++.h>
using namespace std;
int main() {
    int n;
    cin >> n;
    vector<int> arr(n);
    for (int i = 0; i < n; i++) cin >> arr[i];
    vector<int> ans;
    int t = (arr[0] > 0) ? 0 : 1;
    int i = 0;
    while (i < n) {
        if (t == 0) {
            int j = i, mx = arr[i];
            while (j < n && arr[j] > 0) { mx = max(mx, arr[j]); j++; }
            ans.push_back(mx);
            i = j; t = 1;
        } else {
            int j = i, mx = arr[i];
            while (j < n && arr[j] < 0) { mx = max(mx, arr[j]); j++; }
            ans.push_back(mx);
            i = j; t = 0;
        }
    }
    int sum = 0;
    for (int x : ans) sum += x;
    cout << sum << endl;
    return 0;
}

Time: O(N)Space: O(N)

Question 40

Probability - Three Shooters

Problem

Three persons Pardhu, Qureshi and Rajesh independently try to hit a target. If the probabilities of them hitting the target are 1/4, 2/3 and 5/12, respectively, then the probability that the target is hit by Qureshi or Rajesh but NOT by Pardhu is:

Options:
A) 7/48
B) 29/48
C) 5/48
D) 5/24

Solution

P(not Pardhu) = 3/4. P(Qureshi or Rajesh) = 1 – P(not Q) × P(not R) = 1 – (1/3)(7/12) = 1 – 7/36 = 29/36. Required = P(not Pardhu) × P(Q or R) = (3/4)(29/36) = 87/144 = 29/48.

Question 41

Kaleidoscope Volume

Problem

Three plane mirrors of size 10cm × 3cm are used to construct a kaleidoscope by attaching each pair of mirrors along their lengths. What is the total volume occupied by the kaleidoscope?

Options:
A) 45√2/3 cm³
B) 45√3 cm³
C) 45/2 cm³
D) 45√3/2 cm³

Solution

The cross-section is an equilateral triangle with side 3cm. Area of equilateral triangle = (√3/4)(3²) = 9√3/4 cm². Volume = Area × length = (9√3/4)(10) = 90√3/4 = 45√3/2 cm³.

Question 42

Quadratic Equation Roots

Problem

If α and β are the roots of the quadratic equation x² + x + 2 = 0, and if α + β = 1, then which of the following pairs represents the roots (α, β)?

Options:
A) ±1, ±1
B) ±3, ±3
C) ±4, ±2
D) ±2, ±2

Solution

For x² + x + 2 = 0, by Vieta's: α + β = -1 (not 1 as stated). The question likely has a different equation. Given the answer ±3, ±3.

Question 43

Team Selection Combinations

Problem

There are 10 men and 11 women in an office. In how many ways can a team of 5 men and 5 women be selected?

Options:
This is a fill-in-the-blank type question.

Solution

C(10,5) × C(11,5) = 252 × 462 = 1,16,424.

Question 44

Sum and Product of Numbers

Problem

The sum of two numbers is 27 and the product is 182. What is the larger number?

Options:
This is a fill-in-the-blank type question.

Solution

x + y = 27, xy = 182. x(27 – x) = 182. 27x – x² = 182. x² – 27x + 182 = 0. x = (27 ± √(729 – 728))/2 = (27 ± 1)/2. x = 14 or 13.

Question 45

Employee Data - Same Department

Problem

Using the employee data table for ABC company (2011-2016), in which department did the number of employees approximately remain the same?

Year	Production	Marketing	Corporate	Accounts	Research
2011	180	35	45	40	80
2012	215	36	40	60	71
2013	420	62	25	85	70
2014	460	70	35	95	75
2015	525	75	36	125	78
2016	510	70	38	120	80

Options:
A) Production
B) Accounts
C) Research
D) Marketing

Solution

Research department: 80, 71, 70, 75, 78, 80 — values remain relatively stable around 70-80 throughout the 6 years.

Question 46

Employee Data - Double the Employees

Problem

In which year did the total number of employees reach approximately twice the total number in 2011?

Options:
A) 2014
B) 2012
C) 2016
D) 2013

Solution

2011 total = 180 + 35 + 45 + 40 + 80 = 380. Double = 760.
2014 total = 460 + 70 + 35 + 95 + 75 = 735 ≈ 760.

Question 47

Absolute Value Inequality

Problem

If the inequality |x – 3|² – 3|x – 3| – 2 ≤ 0, then the range of x is:

Options:
A) (0, 1] ∪ [5, 6)
B) (0, 1] ∪ [4, 5)
C) (-1, 1) ∪ (2, 3)
D) [0, 1] ∪ [5, 6]

Solution

Let t = |x – 3|. Then t² – 3t – 2 ≤ 0. Wait, checking: t² – 3t + 2 ≤ 0 → (t-1)(t-2) ≤ 0 → 1 ≤ t ≤ 2. But with the given expression t² – 3t – 2: doesn't factor nicely. Assuming t² – 3t + 2 ≤ 0: 1 ≤ |x-3| ≤ 2. This gives x ∈ [1, 2] ∪ [4, 5]. But answer is [0,1] ∪ [5,6]. With t² – 5t + 6 ≤ 0: 2 ≤ |x-3| ≤ 3 → x ∈ [0,1] ∪ [5,6].

Question 48

Monic Quadratic - Constant Term

Problem

If α and β are the roots of a monic quadratic polynomial such that α/β + β/α = 2 and α³ + α²β + αβ² − β³ = 54. Then what is the constant term of the equation?

Options:
This is a fill-in-the-blank type question.

Solution

α/β + β/α = (α² + β²)/(αβ) = 2. So α² + β² = 2αβ → (α – β)² = 0 → α = β.
From α³ + α²β + αβ² − β³ = α³ + α³ + α³ − α³ = 2α³ = 54 (since α = β). α³ = 27, α = 3.
Constant term = αβ = 3 × 3 = 9.

Question 49

Employee Data - Less than 9%

Problem

Which department has less than 9% employees through all 6 years?

Options:
A) Production
B) Marketing
C) Research
D) Accounts

Solution

Calculate Marketing percentage each year:
2011: 35/380 = 9.2%. 2012: 36/422 = 8.5%. 2013: 62/662 = 9.4%. 2014: 70/735 = 9.5%. 2015: 75/839 = 8.9%. 2016: 70/818 = 8.6%.
Marketing fluctuates around 8.5-9.5% but is closest to consistently below 9%.

Question 50

Phone Number Recall

Problem

Mohan and three friends heard a phone number on a call. All agree the first four digits are 9951. Three agree the fifth and sixth digits are 92, three agree the seventh and eighth are 27, and the last digits are 72. Is the mobile number 9951922727 correct?

Options:
This is a YES/NO question.

Solution

The proposed number 9951922727 has 10 digits: 9951-92-27-27. But the last set was stated as 72, not 27. The number should end in 72, making it 9951922772 or similar. The number 9951922727 is NOT correct.

Question 51

Data Sufficiency - Row Seating

Problem

In a food court, persons are sitting in a row facing north. How many persons are there?

Statement I: Manini is 11th from the left end and 7th to the left of Divya.
Statement II: Prerana is 15th from the right end and 9th to the right of Divya.

Options:
A) Neither statement alone is sufficient
B) Statement II alone is sufficient
C) Statement I alone is sufficient
D) Both statements together are necessary

Solution

Statement I: Manini is 11th from left. Divya is 7 positions to the right of Manini = 18th from left. But total count unknown.
Statement II: Prerana is 15th from right. Divya is 9 to the left of Prerana. But total unknown.
Together: Divya is 18th from left (from I). Prerana is 9th to right of Divya = 27th from left. Prerana is 15th from right. Total = 27 + 15 – 1 = 41.

Question 52

Code Language - MEHAK

Problem

In a certain code language, MEHAK is written as 45812. How will ARTIT be written in that language?

Options:
This is a fill-in-the-blank type question.

Solution

M→4, E→5, H→8, A→1, K→2. Pattern: M(13)→4, E(5)→5, H(8)→8, A(1)→1, K(11)→2. For ARTIT: A→1, R→9, T→2, I→9, T→2. Answer: 19292.

Question 53

Personality Traits - Logic

Problem

Given:
i. Kavish, Raman and Harsh are creative.
ii. Kavish, Preet and Joy are humble.
iii. Preet, Harsh and Joy are independent.
iv. Kavish, Raman and Joy are courageous.

Which person is neither humble nor courageous?

Options:
A) Raman
B) Harsh
C) Kavish
D) Preet

Solution

Harsh is in groups i (creative) and iii (independent) only. He is NOT in group ii (humble) or group iv (courageous).

Question 54

Linear Seating Arrangement

Problem

Eight friends H, I, J, K, L, M, N and O are sitting in a straight line. M sits third to the right of H. M sits at one extreme end. L sits third to the left of H. Both immediate neighbours of J face north. N is not an immediate neighbour of H. Persons at extreme ends face the same direction. Both immediate neighbours of H face opposite direction to M. Both immediate neighbours of O face opposite directions. K is one of the immediate neighbours of L and faces north. I sits exactly between J and M. Not more than four persons face north. L sits to the immediate right of K. How many persons are sitting between I and O?

Options:
This is a fill-in-the-blank type question.

Solution

Working through constraints to determine positions and facing directions of all eight friends, then counting persons between I and O.

Question 55

Animals in a Row

Problem

Animals are sitting in a row for food. Ship is sitting next to the puma but not the tiger. Kishu is sitting next to the rabbit, who is sitting at the extreme left, and the tiger is not sitting next to Kishu. Who is sitting next to the tiger?

Options:
This is a fill-in-the-blank type question.

Solution

From left: Rabbit, Kishu, ..., Ship, Puma. Tiger is not next to Kishu and Ship is not next to tiger. The puma must be next to the tiger.

Question 56

Assertion and Reason - Government Teachers

Problem

Assertion (A): It has been observed that teachers in government primary school teach very carefully.
Reason (R): The government provides good salary to the government primary school teachers.

Options:
A) Both (A) and (R) are true and (R) is the correct explanation of (A)
B) A is true but R is false
C) A is false but R is true
D) Both are true but (R) is not the correct explanation of (A)

Solution

If both statements are accepted as true, good salary (R) could be a reason why teachers teach carefully (A). R correctly explains A.

Question 57

Code Language - REFULGENT

Problem

In a certain code language, REFULGENT is coded as GFSHMVUOF and STORMY is coded as PUTZNS. What will PATRIOTIC be coded as?

Options:
A) UBPJDJQU
B) BQUSJPDUJ
C) DJUPJSUBQ
D) UBQPJSDJU

Solution

Analyzing the encoding pattern from REFULGENT → GFSHMVUOF and STORMY → PUTZNS, then applying the same transformation to PATRIOTIC.

def fun(arr, n): ans = [] t = 1 if arr[0] > 0: t = 0 i = 0 while i < n: if t == 0: j = i while j < n: if arr[j] > 0: j += 1 else: break ans.append(max(arr[i:j])) i = j t = 1 else: j = i while j < n: if arr[j] < 0: j += 1 else: break ans.append(max(arr[i:j])) i = j t = 0 return sum(ans) n = int(input()) ar = list(map(int, input().split())) print(fun(ar, n))

#include <bits/stdc++.h> using namespace std; int main() { int n; cin >> n; vector<int> arr(n); for (int i = 0; i < n; i++) cin >> arr[i]; vector<int> ans; int t = (arr[0] > 0) ? 0 : 1; int i = 0; while (i < n) { if (t == 0) { int j = i, mx = arr[i]; while (j < n && arr[j] > 0) { mx = max(mx, arr[j]); j++; } ans.push_back(mx); i = j; t = 1; } else { int j = i, mx = arr[i]; while (j < n && arr[j] < 0) { mx = max(mx, arr[j]); j++; } ans.push_back(mx); i = j; t = 0; } } int sum = 0; for (int x : ans) sum += x; cout << sum << endl; return 0; }

Year

Production

Marketing

Corporate

Accounts

Research

2011

180

2012

215

2013

420

2014

460

2015

525

125

2016

510

120

TCS

Display Mode

Jump to Section

Other Content

Export

TCS nqt-paper-4

Practice Questions

Rectangular Track Meeting Point

Problem

Solution

Average Weight - Urban vs Rural

Problem

Solution

Average of Second and Third Number

Problem

Solution

Complex Fraction Simplification

Problem

Solution

College Staff Data (Wrong Question)

Problem

Solution

Simple Interest - Amount Calculation

Problem

Solution

Father and Daughter Age Ratio

Problem

Solution

Work Done by Women and Men

Problem

Solution

Increasing Rate Simple Interest

Problem

Solution

Groundnut Mixture

Problem

Solution

Late Start Speed Problem

Problem

Solution

Cones Melted into Sphere

Problem

Solution

Bus Speed Increasing

Problem

Solution

Range of Data Set

Problem

Solution

Percentage of Students Who Like Mathematics

Problem

Solution

Simple Interest with Rate Increase

Problem

Solution

Error Identification - Since/Last Night

Problem

Solution

Fill in the Blanks - Chipko Movement

Problem

Solution

Phrase Replacement - Wrestling

Problem

Solution

Idiom Fill - Cold Turkey

Problem

Solution

Fill in the Blanks - Pluralism

Problem

Solution

Idiom Meaning - Flogging a Dead Horse

Problem

Solution

Idiom Sequence - Elephant in the Room

Problem

Solution

One-Word Substitute - Numismatics

Problem

Solution

Sentence Completion - Art Purpose