Question 1

If ‘→’ denotes increasing order of intensity, then the meaning of the words [simmer → seethe → smolder] is analogous to [break → raze → ________]. Which one of the given options is appropriate to fill the blank?

Accepted Answer

obliterate. The correct option 'obliterate' fits the analogy because it represents a more intense or complete form of destruction, similar to how 'seethe' is a more intense state than 'simmer' and 'smolder' represents a lingering state. Each pair reflects a progression in intensity.

Question 2

Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique seating arrangements are defined by the relative positions of the people.

How many unique seating arrangements are possible such that each person is sitting next to thei

Accepted Answer

12. To find the unique seating arrangements, we can treat each pair of twins as a single unit or block. With three pairs, we have three blocks to arrange around the circular table, which can be done in (3-1)! = 2! = 2 ways. Each pair can be arranged internally in 2 ways, leading to a total of 2 * 2 * 2 = 8 arrangements. Thus, the total unique arrangements are 2 * 8 = 16, but since we need to account for indistinguishable twins, we divide by 2 for the pairs, resulting in 12 unique arrangements.

Question 3

Each of the letters in the figure below represents a unique integer from 1 to 9. The letters are positioned in the figure such that each of (A + B + C), (C + D + E), (E + F + G) and (G + H + K) is equal to 13. Which integer does E represent?

Accepted Answer

4. The sum of the integers in each group must equal 13, and since E is part of multiple groups, it must be a value that allows the other integers to also be unique and fit within the range of 1 to 9. Testing the options, E = 4 allows for valid combinations with the other letters, while maintaining the uniqueness of the integers.

Question 4

The Newspaper reports that over 500 hectares of tribal land spread across 28 tribal settlements in Mohinitamapuram forest division have already been “alienated”. A top forest official said, “First the tribals are duped out of their land holdings. Second, the families thus rendered landless

Accepted Answer

it cannot be inferred who. The passage does not provide specific information about who is responsible for duping the tribals; it only mentions that a top forest official made a statement regarding the situation. Therefore, it cannot be definitively inferred who is responsible.

Question 5

1. Some football players play cricket.
2. All cricket players play hockey.
Among the options given below, the statement that logically follows from the two statements 1 and 2 above, is:

Accepted Answer

Some football players play hockey.. The correct option is valid because if some football players play cricket and all cricket players play hockey, then it logically follows that those football players who play cricket must also play hockey.

Question 6

In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total revenue generated through sales in the shops in these malls is generally low.

Which one of the following is the CORRECT logical inference

Accepted Answer

More people are visiting the malls but not spending enough. The passage indicates that while the number of visitors to the malls is high, the revenue from sales is low, suggesting that although many people are visiting, they are not spending sufficiently.

Question 7

Match the following attributes of a city with the appropriate scale of measurements.

Attribute / Scale of measurement
(P) Average temperature (°C) of a city / (I) Interval
(Q) Name of a city / (II) Ordinal
(R) Population density of a city / (III) Nominal
(S) Ranking of a city based on eas

Accepted Answer

(P)-(I), (Q)-(III), (R)-(IV), (S)-(II). The correct option matches average temperature with the interval scale, as it has meaningful differences but no true zero. The name of a city is a nominal scale since it categorizes without order. Population density is best represented on a ratio scale due to its true zero and the ability to compare magnitudes, while the ranking of a city based on ease of business is ordinal, reflecting a ranked order without precise differences.

Question 8

There are 4 red, 5 green, and 6 blue balls inside a box. If N number of balls are picked simultaneously, what is the smallest value of N that guarantees there will be at least two balls of the same colour?
One cannot see the colour of the balls until they are picked.

Accepted Answer

4. With 3 colours, the worst case is picking one of each (3 balls) all different; the 4th ball must repeat a colour. So N = 4 guarantees two of the same colour. Stored answer 2 is wrong.

Question 9

Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people. How many seating arrangements are possible such that every husband sits next to his wife?

Accepted Answer

16. Glue each husband-wife pair into a block. Three blocks around a circle give (3-1)!=2 arrangements, and each pair can be ordered 2 ways: 2*2^3=16. Stored answer 4 is wrong; correct is 16.

Question 10

Rajan was not happy that Sajan decided to do the project on his own. On observing his unhappiness, Sajan explained to Rajan that he preferred to work independently.

Which one of the statements below is logically valid and can be inferred from the above sentences?

Accepted Answer

Rajan had believed that Sajan and he would be working together.. Rajan's unhappiness about Sajan working independently suggests that he expected to collaborate on the project, indicating that he believed they would work together.

Question 11

Find the odd one in the following group: ALRVX, EPVZB, ITZDF, DYEIK

Accepted Answer

DYEIK. DYEIK is the odd one out because it does not follow the same pattern of letter progression as the other options, which have consistent shifts in their letter sequences.

Question 12

Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a six-storied building (the ground floor is numbered 1, the floor above it 2, and so on).

Anuj lives on an even-numbered floor. Bhola does not live on an odd numbered floor. Chandan does not live on any of the floor

Accepted Answer

Anuj-2, Bhola-6, Chandan-5, Dilip-1, Eswar-3, Faisal-4. The correct option satisfies all the given conditions: Anuj lives on an even-numbered floor (2), Bhola does not live on an odd-numbered floor (6), Chandan is above Dilip (5 is above 1), Eswar is not adjacent to Bhola (3 is not next to 6), and Faisal is three floors above Dilip (4 is three floors above 1).

Question 13

Indian currency notes show the denomination indicated in at least seventeen languages. If this is not an indication of the nation's diversity, nothing else is.

Which of the following can be logically inferred from the above sentences?

Accepted Answer

Linguistic pluralism is strong evidence of India's diversity.. The statement highlights that the presence of multiple languages on Indian currency notes reflects the country's diversity, suggesting that linguistic pluralism serves as a significant indicator of this diversity.

Question 14

Consider the following statements relating to the level of poker play of four players P, Q, R and S.

I. P always beats Q
II. R always beats S
III. S loses to P only sometimes
IV. R always loses to Q

Which of the following can be logically inferred from the above statements?
(i) P is like

Accepted Answer

neither (i) nor (ii). The statements do not provide enough information to definitively conclude that P beats all players or that S is the worst. While P beats Q and R beats S, S's performance against P is inconsistent, and R's losses to Q do not establish a clear ranking among all players.

Question 15

Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the availability of evidence today.

Which of the following can be logically inferred from the abo

Accepted Answer

A king's greatness, as we know him today, is interpreted by historians.. The statement emphasizes that historians assess a ruler's greatness based on the evidence available, such as Ashoka's edicts, indicating that our understanding of a king's legacy is shaped by historical interpretation.

Question 16

Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.

If the above statements are facts, which of the following can be logically inferred?

I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.

Accepted Answer

II only.. The correct option is II because it logically follows that since all humans are mammals and some humans are engineers, those engineers must also be mammals. The other statements do not logically follow from the given facts.

Question 17

If ‘→’ denotes increasing order of intensity, then the meaning of the words [drizzle → rain → downpour] is analogous to [ _____ → quarrel → feud]. Which one of the given options is appropriate to fill the blank?

Accepted Answer

bicker. The sequence of 'drizzle → rain → downpour' represents a gradual increase in intensity of precipitation, just as 'bicker → quarrel → feud' illustrates a progression from minor disagreements to more serious conflicts.

Question 18

Consider a five-digit number PQRST that has distinct digits P, Q, R, S, and T, and satisfies the following conditions: P < Q S > P > T R < T If integers 1 through 5 are used to construct such a number, the value of P is:

Accepted Answer

3. From S>P>T and RT>R, so two digits (T,R) are below P. From PP, two digits (Q,S) are above P. With digits 1-5, P must be the middle value 3 (option 2), not 2.

Question 19

_____ is to surgery as writer is to ______
Which one of the following options maintains a similar logical relation in the above sentence?

Accepted Answer

doctor, book. A doctor performs surgery, just as a writer creates a book. The relationship is based on the profession and the primary product or outcome associated with that profession.

Question 20

If ‘→’ denotes increasing order of intensity, then the meaning of the words [dry → arid → parched] is analogous to [diet → fast → ________]. Which one of the given options is appropriate to fill the blank?

Accepted Answer

starve. The sequence 'diet → fast → starve' reflects an increasing intensity of food deprivation, similar to how 'dry → arid → parched' indicates a progression in dryness. 'Starve' represents the most extreme state of not having food, just as 'parched' represents the most extreme state of dryness.

Question 21

Consider the relationships among P, Q, R, S, and T:
• P is the brother of Q.
• S is the daughter of Q.
• T is the sister of S.
• R is the mother of Q.
The following statements are made based on the relationships given above.
(1) R is the grandmother of S.
(2) P is the uncle of S and T.
(3)

Accepted Answer

Both (1) and (2) are true.. Both statements (1) and (2) are correct because R, being the mother of Q, is indeed the grandmother of S, and since P is Q's brother, he is the uncle of both S and T.

Question 22

Which one of the following is the most appropriate logical formula to represent the statement:

"Gold and silver ornaments are precious"

The following notations are used:
G(x): x is a gold ornament.
S(x): x is a silver ornament.
P(x): x is precious.

Accepted Answer

∀x(((G(x) ∨ S(x)) → P(x))). The correct option states that for all x, if x is either a gold or a silver ornament, then x is precious. This accurately captures the idea that both types of ornaments are considered precious.

Question 23

The binary operation ⊙ is defined as follows:

P Q P ⊙ Q
T T T
T F T
F T F
F F T

Which one of the following is equivalent to P ∨ Q ?

Accepted Answer

P ⊙ ¬Q. The operation P(.)Q equals (P OR (not Q)) by its truth table. Evaluating P (.) (not Q) gives P OR Q for all four input combinations, so option B is the equivalent. The stored option D is not equivalent.

Question 24

The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair.
Unemployed: Worker

Accepted Answer

fallow: land. The relationship between 'unemployed' and 'worker' is that 'unemployed' describes a state of not having a job, while 'worker' refers to someone who is employed. Similarly, 'fallow' describes land that is not currently being cultivated, while 'land' refers to the resource itself, making this pair analogous.

Question 25

Consider the statement

“Not all that glitters is gold”

Predicate glitters(x) is true if x glitters and predicate gold(x) is true if x is gold. Which one of the following logical formulae represents the above statement?

Accepted Answer

∃x: glitters(x) ∧ ¬gold(x). The correct option indicates that there exists at least one object that glitters but is not gold, which directly aligns with the meaning of the statement 'Not all that glitters is gold.' This captures the essence that some glittering objects do not possess the quality of being gold.

Question 26

All hill-stations have a lake. Ooty has two lakes.

Which of the statement(s) below is/are logically valid and can be inferred from the above sentences?

(i) Ooty is not a hill-station.
(ii) No hill-station can have more than one lake.

Accepted Answer

neither (i) nor (ii). The statements provided do not support the conclusions drawn in either (i) or (ii). The first statement only asserts that all hill-stations have a lake, and since Ooty has two lakes, it does not imply that Ooty is not a hill-station or that hill-stations cannot have more than one lake.

Question 27

The police arrested four criminals – P, Q, R and S. The criminals knew each other. They made the following statements:
P says “Q committed the crime.”
Q says “S committed the crime.”
R says “I did not do it.”
S says “What Q said about me is false.”
Assume only one of the arrested four comm

Accepted Answer

R. If R is guilty: P(Q did it)=false, Q(S did it)=false, R(I didn't)=false, and S(what Q said is false)=true since Q's claim about S is indeed false. Exactly one true statement, satisfying the constraints, so R committed the crime.

Question 28

Given below are four statements.

Statement 1: All students are inquisitive.

Statement 2: Some students are inquisitive.

Statement 3: No student is inquisitive.

Statement 4: Some students are not inquisitive.

From the given four statements, find the two statements that CANNOT BE TRUE s

Accepted Answer

Statement 1 and Statement 3. Statement 1 asserts that all students are inquisitive, while Statement 3 claims that no student is inquisitive. These two statements directly contradict each other, making it impossible for both to be true at the same time.

Question 29

A palindrome is a word that reads the same forwards and backwards. In a game of words, a player has the following two plates painted with letters: A, D. From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a

Accepted Answer

R, ∀, Я. The correct option, R, ∀, Я, allows for the construction of the palindrome 'Я∀Я', where 'Я' and '∀' can be mirrored to create a symmetrical arrangement, fulfilling the requirement of reading the same forwards and backwards.

Question 30

Some people believe that “what gets measured, improves”. Some others believe that “what gets measured, gets gamed”. One possible reason for the difference in the beliefs is the work culture in organizations. In organizations with good work culture, metrics help improve outcomes. However, t

Accepted Answer

Metrics are useful in organizations with good work culture. The passage indicates that in organizations with a positive work culture, metrics serve to enhance performance and outcomes, supporting the idea that they are beneficial in such environments.

Question 31

A survey for a certain year found that 90% of pregnant women received medical care at least once before giving birth. Of these women, 60% received medical care from doctors, while 40% received medical care from other healthcare providers. Given this information, which one of the following

Accepted Answer

More than half of the pregnant women received medical care at least once from a doctor.. Since 90% of pregnant women received medical care and 60% of those received it from doctors, this means that 54% of all pregnant women received care from doctors, which is indeed more than half.

Question 32

The country of Zombieland is in distress since more than 75% of its working population is suffering from serious health issues. Studies conducted by competent health experts concluded that a complete lack of physical exercise among its working population was one of the leading causes of th

Accepted Answer

The Government of Zombieland believes that riding bicycles is a form of physical exercise.. The government's decision to provide monetary incentives for riding bicycles to work indicates their belief that this activity qualifies as physical exercise, which is essential for addressing the health issues faced by the working population.

Question 33

Let U = {1, 2,..., n}, where n is a large positive integer greater than 1000. Let k be a positive integer less than n. Let A, B be subsets of U with |A| = |B| = k and A ∩ B = ∅. We say that a permutation of U separates A from B if one of the following is true.
- All members of A appear in

Accepted Answer

2 (n choose 2k) (n - 2k)! (k!)². The correct option accounts for the selection of 2k elements from n, arranging the k elements of A and B in two distinct blocks (A before B and B before A), which introduces a factor of 2 for the two possible arrangements. The term (n choose 2k) represents the ways to choose the elements for A and B, while (n - 2k)! and (k!)² account for the arrangements of the remaining elements and the internal arrangements of A and B, respectively.

Question 34

Consider a random experiment where two fair coins are tossed. Let A be the event that denotes HEAD on both the throws, B be the event that denotes HEAD on the first throw, and C be the event that denotes HEAD on the second throw. Which of the following statements is/are TRUE?

Accepted Answer

Prob(B|C) = Prob(B). The statement Prob(B|C) = Prob(B) is true because the outcome of the first coin toss (event B) does not depend on the outcome of the second coin toss (event C). Since both coins are fair and independent, knowing the result of one does not affect the probability of the other.

Question 35

Two wizards try to create a spell using all the four elements, water, air, fire, and earth. For this, they decide to mix all these elements in all possible orders. They also decide to work independently. After trying all possible combination of elements, they conclude that the spell does n

Accepted Answer

24. Each wizard can create spells by arranging the four elements in different orders. Since there are 4 elements, the number of unique arrangements (permutations) is calculated as 4! (4 factorial), which equals 24. Therefore, each wizard makes 24 attempts.

Question 36

In the 4 × 4 array shown below, each cell of the first three rows has either a cross (X) or a number.

1 X 4 3
X 5 5 4
3 X 6 X

The number in a cell represents the count of the immediate neighboring cells (left, right, top, bottom, diagonals) NOT having a cross (X). Given that the last row

Accepted Answer

11. Using the cross positions that make every given number consistent, the four last-row cells have non-cross neighbor counts 2, 4, 3, 2 (left to right). Their sum is 11, not 9, so the answer is 11.

Question 37

Bird: Nest:: Bee: _______
Select the correct option to complete the analogy.

Accepted Answer

Hive. A bee creates and resides in a hive, just as a bird builds and lives in a nest. Both pairs represent the home or shelter specific to each animal.

Question 38

Based only on the conversation below, identify the logically correct inference:

“Even if I had known that you were in the hospital, I would not have gone there to see you”, Ramya told Josephine.

Accepted Answer

Ramya did not know that Josephine was in the hospital.. Ramya's statement indicates that she was unaware of Josephine's hospitalization, as she mentions that even if she had known, she still would not have visited.

Question 39

The diagram below shows a river system consisting of 7 segments, marked P, Q, R, S, T, U, and V. It splits the land into 5 zones, marked Z1, Z2, Z3, Z4, and Z5. We need to connect these zones using the least number of bridges. Out of the following options, which one is correct?

Note: The

Accepted Answer

Bridges on P, Q, S, and T. The correct option includes bridges on segments P, Q, S, and T, which effectively connects all five zones with the minimum number of crossings, ensuring that each zone is accessible while minimizing the total number of bridges needed.

Question 40

Hari (H), Gita (G), Irfan (I) and Safra (S) are siblings (i.e. brothers and sisters). All were born on 1st January. The age difference between any two successive siblings (that is born one after another) is less than 3 years.
Given the following facts:
i. Hari's age + Gita's age > Irfan's

Accepted Answer

IHSG. The correct order is IHSG because it satisfies all the conditions: Irfan is the oldest, followed by Hari, then Gita, and finally Safra, ensuring that Gita is not the oldest and Safra is not the youngest, while also maintaining the age difference constraints.

Question 41

Statement: There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on.
Which one of the following is the best inference from the above statement?

Accepted Answer

Nationalism in India is heterogeneous.. The correct option highlights the diversity of ideologies and approaches within the Indian freedom movements, indicating that nationalism was not a singular or uniform movement but rather comprised various perspectives and strategies.

Question 42

Read the statements:

All women are entrepreneurs.
Some women are doctors.

Which of the following conclusions can be logically inferred from the above statements?

Accepted Answer

Some entrepreneurs are doctors. The correct conclusion is that some entrepreneurs are doctors because the statements indicate that there is a subset of women who are both entrepreneurs and doctors, allowing for the possibility that some of these women entrepreneurs are also doctors.

Question 43

Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yello

Accepted Answer

The sum of the red and blue lights is equal to the sum of the green and yellow lights. This option is correct because the pairing rules dictate that every red light must have a blue light, and every green light must have a yellow light, ensuring that the total counts of red and blue lights will always match the total counts of green and yellow lights.

Question 44

Find the next term in the sequence: 7G, 11K, 13M,...

Accepted Answer

17Q. 7,11,13 are consecutive primes (next is 17) and the letters G,K,M are the 7th,11th,13th letters. The next term uses 17 and the 17th letter Q, giving 17Q.

Question 45

Find the next term in the sequence: 13M, 17Q, 19S, __

Accepted Answer

23W. The numbers 13,17,19 are consecutive primes, so the next is 23. The letters are the corresponding alphabet positions: M=13, Q=17, S=19, so 23 gives W. The next term is 23W, not 21W.

Question 46

Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7 km away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun’s plac

Accepted Answer

6.02. Arun is farther than Ahmed (5 km) but closer than Susan (7 km), so the distance must satisfy 5 < d < 7. Among the options only 6.02 lies in this range, so 7.01 is wrong.

Question 47

M has a son P and a daughter R. He has no other children. E is the mother of P and daughter-in-law of M. How is P related to M ?

Accepted Answer

P is the grandchild of M.. P is the son of M's child, which makes him a grandchild of M.

Question 48

The number that least fits this set: (324, 441, 97 and 64) is _________.

Accepted Answer

97. The number 97 is the only prime number in the set, while the others are all composite numbers, making it the least fitting in terms of number classification.

Question 49

The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating 70% of pets and stray dogs against rabies can lead to a significant reduction in the number of people infected with rab

Accepted Answer

The number of people in India infected with rabies is high.. The text explicitly states that the World Health Organization has flagged the high number of rabies infections in India as a concern, indicating that the infection rate among people in India is significant.

Question 50

A flat is shared by four first year undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than Sravan, who is three months younger than Trideep. Pavan is one month older than Sravan. Who should occupy the extra space

Accepted Answer

Trideep. Trideep is the oldest among the four students, as he is three months older than Sravan, who is younger than both Manu and Pavan. Therefore, it is logical for Trideep to occupy the extra space.

GATE General Aptitude: Analytical Aptitude questions with solutions

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