AMCAT (Aspiring Minds Computer Adaptive Test) — Questions and Answers

Question 1: What is the time complexity of searching for an element in a balanced Binary Search Tree (BST)?

O(log n) (Correct answer)
O(n squared)
O(n)
O(1)

Correct answer: O(log n)

A balanced BST has height O(log n), so searching requires at most O(log n) comparisons.

Question 2: A nested loop where the outer loop runs 'n' times and the inner loop also runs 'n' times for each outer iteration will typically have a time complexity of:

O(log n)
O(2n)
O(n)
O(n^2) (Correct answer)

Correct answer: O(n^2)

For each of the 'n' iterations of the outer loop, the inner loop performs 'n' iterations. This results in a total of n * n = n^2 operations, leading to a quadratic time complexity.

Question 3: All politicians are corrupt. Some corrupt people are criminals. Which conclusion definitely follows?

No politician is a criminal
All politicians are criminals
Some politicians are criminals
Some corrupt people are politicians (Correct answer)

Correct answer: Some corrupt people are politicians

'All politicians are corrupt' converts to 'Some corrupt people are politicians'. This definitely follows.

Question 4: The average age of a class of 30 students is 14 years. If the age of the teacher is included, the average age becomes 15 years. Which of the following is the age of the teacher?

44 years
45 years
46 years (Correct answer)
31 years

Correct answer: 46 years

The total age of the 30 students is 30 * 14 = 420 years. When the teacher is included, there are 31 people, and the average age is 15. The total age of the students and the teacher is 31 * 15 = 465 years. The age of the teacher is the difference between these two totals: 465 - 420 = 45 years.

Question 5: A scenario is presented: If it is raining, the ground will be wet. The ground is wet. What can you deduce?

It is raining.
The sprinkler was on.
It is not raining.
It is not necessarily raining. (Correct answer)

Correct answer: It is not necessarily raining.

This demonstrates a logical fallacy known as 'affirming the consequent'. The statement is 'If P (raining), then Q (ground is wet)'. We are given that Q is true. We cannot conclude that P must be true. The ground could be wet for other reasons, such as a sprinkler or a spilled water truck. Therefore, we can only conclude that it is not *necessarily* raining.

Question 6: A woman introduces a man as the son of the brother of her mother. How is the man related to the woman?

Nephew
Uncle
Son
Cousin (Correct answer)

Correct answer: Cousin

Brother of her mother = her maternal uncle. Son of maternal uncle = her cousin.

Question 7: Which of the following best describes an abstract data type (ADT)?

A specific programming language construct
A type that can only hold abstract (non-numeric) data
A mathematical model defining data and operations without implementation details (Correct answer)
A concrete implementation stored in memory

Correct answer: A mathematical model defining data and operations without implementation details

An ADT specifies what operations are supported and their behavior, independent of how they are implemented.

Question 8: A shopkeeper bought an item for $240 and sold it at a 25% profit. What was the selling price?

$280
$290
$300 (Correct answer)
$310

Correct answer: $300

Selling price = 240 × 1.25 = $300.

Question 9: Detect the error: 'The committee have reached their decision unanimously.'

Error — 'unanimously' is misspelled.
Error — 'have' should be 'has' in all forms of English.
Error — 'their' should be 'its.'
No error — this uses collective noun correctly in British English. (Correct answer)

Correct answer: No error — this uses collective noun correctly in British English.

In British English, collective nouns like 'committee' can take plural verbs when members act individually; here, British English usage is acceptable.

Question 10: Statements: 1. Some cats are black. 2. Some black things are beautiful. Which of the following conclusions is correct based on the statements?

Some cats are not beautiful.
All cats are beautiful.
No definite conclusion can be drawn. (Correct answer)
Some cats are beautiful.

Correct answer: No definite conclusion can be drawn.

This is a classic syllogism problem where the middle term ('black things') is not distributed in either premise. The first premise talks about 'some cats' and the second talks about 'some black things'. The group of black things that are beautiful may or may not overlap with the group of cats that are black. Since there is no guaranteed connection between 'cats' and 'beautiful things', no conclusion can be logically derived.

Question 11: Statements: 1. All cats are animals. 2. All tigers are cats. Conclusions: I. All tigers are animals. II. All animals are tigers.

Neither I nor II follows
Only conclusion I follows (Correct answer)
Both I and II follow
Only conclusion II follows

Correct answer: Only conclusion I follows

From statement 2, 'tigers' is a subset of 'cats'. From statement 1, 'cats' is a subset of 'animals'. Therefore, 'tigers' must be a subset of 'animals', making conclusion I valid. Conclusion II is a reversal and is not necessarily true; there can be animals that are not tigers.

Question 12: Choose the ANTONYM of VERBOSE.

Lengthy
Wordy
Elaborate
Concise (Correct answer)

Correct answer: Concise

Verbose means using more words than needed; its antonym is concise, meaning brief and to the point.

Question 13: Which word is an ANTONYM of LANGUID?

Listless
Sluggish
Energetic (Correct answer)
Lethargic

Correct answer: Energetic

Languid means displaying weakness or fatigue, so 'energetic' (full of energy) is its antonym.

Question 14: In which year did Company Z show the highest percentage increase in sales over the previous year?

2019 (Correct answer)
2020
2022
2021

Correct answer: 2019

Calculate the percentage increase for each year: 2019: ((55-50)/50)*100 = 10%. 2020: ((60-55)/55)*100 ≈ 9.09%. 2021: ((65-60)/60)*100 ≈ 8.33%. 2022: ((70-65)/65)*100 ≈ 7.69%. The highest increase was 10% in 2019.

Question 15: Statements: All chairs are tables. All tables are cupboards. Conclusion: All chairs are cupboards.

Partially true
False
Uncertain
True (Correct answer)

Correct answer: True

All chairs → tables → cupboards. By transitivity, all chairs are cupboards.

Question 16: For which company was the percentage increase in sales from 2018 to 2022 the highest?

Company X (Correct answer)
Company Y
Company Z
Both Y and Z

Correct answer: Company X

Calculate the percentage increase for each company from 2018 to 2022. X: ((55-30)/30)*100 ≈ 83.33%. Y: ((60-40)/40)*100 = 50%. Z: ((70-50)/50)*100 = 40%. Company X had the highest percentage increase.

Question 17: Which notation gives the tight bound (both upper and lower bound) of an algorithm?

Big-Theta (Theta) (Correct answer)
Little-o (o)
Big-Omega (Omega)
Big-O (O)

Correct answer: Big-Theta (Theta)

Big-Theta describes the exact asymptotic behavior — the algorithm runs in both Omega(f(n)) and O(f(n)).

Question 18: Which join returns all rows from both tables, with NULLs where there is no match?

FULL OUTER JOIN (Correct answer)
RIGHT JOIN
INNER JOIN
LEFT JOIN

Correct answer: FULL OUTER JOIN

FULL OUTER JOIN returns all rows from both tables, filling NULLs where there is no matching row in the other table.

Question 19: Two numbers are in ratio 4:5. Their LCM is 180. What is their HCF?

12
9 (Correct answer)
15
6

Correct answer: 9

Numbers = 4k and 5k. LCM(4k,5k) = 20k = 180 → k = 9. HCF = k = 9.

Question 20: An article is sold at 20% profit. If its cost price is increased by 10% but the selling price remains the same, what is the new profit percentage?

10%
8%
9.1% (Correct answer)
12%

Correct answer: 9.1%

Let CP=100. SP=120. New CP=110. Profit=10. Profit%=10/110×100=9.09%.

Question 21: Which word is an ANTONYM of FRUGAL?

Extravagant (Correct answer)
Economical
Thrifty
Sparing

Correct answer: Extravagant

Frugal means sparing with money or food, so 'extravagant' (spending excessively) is its antonym.

Question 22: All A are B. No B is C. All C are D. Which conclusion is valid?

All D are C
Some C are A
Some A are D
No A is C (Correct answer)

Correct answer: No A is C

All A are B and no B is C → A is a subset of B and B has no overlap with C, so no A is C.

Question 23: A sum of money invested at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. What is the principal amount?

Rs. 700
Rs. 650
Rs. 698 (Correct answer)
Rs. 720

Correct answer: Rs. 698

The interest for one year is the difference between the amounts after 4 years and 3 years. So, Interest for 1 year = Rs. 854 - Rs. 815 = Rs. 39. The interest for 3 years is 3 * 39 = Rs. 117. The principal amount is the amount after 3 years minus the interest for 3 years. Principal = Rs. 815 - Rs. 117 = Rs. 698.

Question 24: A shopkeeper marks up goods by 40% and then gives a 20% discount. What is the net profit percentage?

20%
16%
8%
12% (Correct answer)

Correct answer: 12%

SP = 100 × 1.4 × 0.8 = 112. Profit = 12%.

Question 25: Choose the ANTONYM of COVERT.

Secret
Clandestine
Hidden
Overt (Correct answer)

Correct answer: Overt

Covert means not openly acknowledged or displayed; its antonym is overt, meaning done openly.

Question 26: Directions: Study the following table which shows the sales (in Crores) of three companies from 2018 to 2022 and answer the questions. | Year | Company X | Company Y | Company Z | |---|---|---|---| | 2018 | 30 | 40 | 50 | | 2019 | 45 | 35 | 55 | | 2020 | 50 | 50 | 60 | | 2021 | 60 | 55 | 65 | | 2022 | 55 | 60 | 70 | What was the average sales of Company Y over all the given years?

50 Crores
52 Crores
48 Crores (Correct answer)
45 Crores

Correct answer: 48 Crores

To find the average, sum the sales of Company Y for all years and divide by the number of years. Total Sales = 40 + 35 + 50 + 55 + 60 = 240 Crores. Number of years = 5. Average = 240 / 5 = 48 Crores.

Question 27: Find the next number in the series: 2, 5, 10, 17, 26, ?

38
37 (Correct answer)
35
39

Correct answer: 37

The pattern is based on the difference between consecutive terms. The differences are 3 (5-2), 5 (10-5), 7 (17-10), and 9 (26-17). This is a series of consecutive odd numbers. The next difference should be 11. Therefore, the next number is 26 + 11 = 37.

Question 28: In how many ways can 5 books be arranged on a shelf?

100
150
60
120 (Correct answer)

Correct answer: 120

5 books can be arranged in 5! = 120 ways.

Question 29: Which word is an ANTONYM of BENIGN?

Kind
Gentle
Malignant (Correct answer)
Harmless

Correct answer: Malignant

Benign means gentle and not harmful, so 'malignant' (virulently harmful) is its antonym.

Question 30: Which SQL clause is used to filter groups after a GROUP BY?

WHERE
HAVING (Correct answer)
GROUP FILTER
FILTER

Correct answer: HAVING

HAVING filters groups formed by GROUP BY, whereas WHERE filters individual rows before grouping.

Question 31: Which word is an ANTONYM of TACITURN?

Reserved
Silent
Quiet
Garrulous (Correct answer)

Correct answer: Garrulous

Taciturn means reserved and saying little, so 'garrulous' (excessively talkative) is its antonym.

Question 32: Which word is a SYNONYM of GARRULOUS?

Reserved
Silent
Quiet
Talkative (Correct answer)

Correct answer: Talkative

Garrulous means excessively talkative, especially on trivial matters, making 'talkative' its synonym.

Question 33: In the sentence, 'The team's performance was ABJECT, leading to a significant loss,' which of the following words is the best synonym for 'ABJECT'?

Commendable
Miserable (Correct answer)
Excellent
Praiseworthy

Correct answer: Miserable

The word 'abject' means experienced to the maximum degree, often in a negative context, implying a state of being utterly miserable or wretched. 'Miserable' is the closest synonym. The other options are antonyms.

Question 34: What is the time complexity of a binary search algorithm on a sorted array of size 'n'?

O(1)
O(n^2)
O(log n) (Correct answer)
O(n)

Correct answer: O(log n)

Binary search works by repeatedly dividing the search interval in half. This logarithmic behavior makes it highly efficient for searching in large, sorted datasets, as the number of comparisons grows very slowly with the input size 'n'.

Question 35: If PENCIL is coded as RGPEKN, how is RUBBER coded? (each letter shifted by +2)

TUDDGT
TWDDFU
TWDCGT
TWDDGT (Correct answer)

Correct answer: TWDDGT

Each letter shifted +2: R+2=T, U+2=W, B+2=D, B+2=D, E+2=G, R+2=T = TWDDGT.

Question 36: Which layer of the OSI model is responsible for end-to-end communication and error recovery between hosts?

Transport Layer (Correct answer)
Data Link Layer
Session Layer
Network Layer

Correct answer: Transport Layer

The Transport Layer (Layer 4) provides end-to-end communication, error recovery, and flow control between source and destination hosts.

Question 37: Choose the ANTONYM of OSTENTATIOUS.

Extravagant
Flashy
Showy
Modest (Correct answer)

Correct answer: Modest

Ostentatious means designed to impress or attract notice; its antonym is modest, meaning unassuming.

Question 38: By selling 20 items, a vendor gains the cost price of 5 items. What is his profit percentage?

30%
20%
15%
25% (Correct answer)

Correct answer: 25%

Profit = 5 CP on total cost of 20 CP. Profit% = 5/20 × 100 = 25%.

Question 39: Monthly expenses: Food Rs 4000, Rent Rs 8000, Transport Rs 2000, Misc Rs 1000. What percentage is spent on rent?

45%
53.3% (Correct answer)
60%
50%

Correct answer: 53.3%

Total = 15000. Rent% = 8000/15000 × 100 = 53.3%.

Question 40: Choose the word that is most nearly opposite in meaning to the word 'FRUGALITY'.

Extravagance (Correct answer)
Thrift
Economy
Providence

Correct answer: Extravagance

Frugality means the quality of being economical with money or food. Extravagance, which means a lack of restraint in spending money, is its direct antonym. Economy, providence, and thrift are all synonyms for frugality.

Question 41: Which of the following is an example of a private IP address range?

172.32.0.0 - 172.63.255.255
8.0.0.0 - 8.255.255.255
10.0.0.0 - 10.255.255.255 (Correct answer)
192.169.0.0 - 192.169.255.255

Correct answer: 10.0.0.0 - 10.255.255.255

10.0.0.0 to 10.255.255.255 is a private IP address range defined by RFC 1918 and is not routable on the public internet.

Question 42: Pointing to a photograph, a man says, "She is the daughter of the only son of my paternal grandfather." How is the woman in the photograph related to the man?

Mother
Aunt
Daughter
Sister (Correct answer)

Correct answer: Sister

The man's paternal grandfather's only son is the man's own father. The daughter of the man's father is his sister.

Question 43: In a certain code, 'BREAK' is written as '51342' and 'KITE' is written as '2796'. How is 'RIBB' written in that code?

1755 (Correct answer)
1752
1355
1722

Correct answer: 1755

This is a direct substitution code where each letter is assigned a specific digit. From 'BREAK', we get R=1 and B=5. From 'KITE', we get I=7. Therefore, to code 'RIBB', we substitute the corresponding digits: R -> 1, I -> 7, B -> 5, B -> 5. The code is 1755.

Question 44: Which graph traversal visits all vertices at the current depth before moving to the next depth level?

Postorder
BFS (Correct answer)
Inorder
DFS

Correct answer: BFS

BFS (Breadth-First Search) uses a queue to visit all neighbors of a vertex before moving to the next level.

Question 45: Which word is an ANTONYM of OBSOLETE?

Antiquated
Current (Correct answer)
Outdated
Archaic

Correct answer: Current

Obsolete means no longer in use, so 'current' (of the present time) is its antonym.

Question 46: What is the ratio of the total sales of Company X in 2018 and 2019 together to the total sales of Company Z in the same years?

7:5
4:5
5:7 (Correct answer)
3:4

Correct answer: 5:7

First, calculate the total sales for each company in the specified years. Total sales of Company X (2018+2019) = 30 + 45 = 75. Total sales of Company Z (2018+2019) = 50 + 55 = 105. The ratio is 75:105, which simplifies to 5:7 by dividing both numbers by 15.

Question 47: Some apples are mangoes. No mango is a grape. All grapes are fruits. Which is definitely true?

Some apples are grapes
All mangoes are fruits
Some fruits are not mangoes (Correct answer)
No apple is a grape

Correct answer: Some fruits are not mangoes

Grapes are fruits and no mango is a grape — those grape-fruits are not mangoes. Therefore some fruits are not mangoes.

Question 48: The ages of A and B are in the ratio 3:5. After 10 years, the ratio becomes 5:7. What is B's current age?

30 years
25 years (Correct answer)
20 years
35 years

Correct answer: 25 years

Let ages = 3k and 5k; (3k+10)/(5k+10) = 5/7; 21k+70 = 25k+50; 4k = 20; k = 5; B = 25.

Question 49: A bag contains 4 red, 5 blue, and 6 green balls. What is the probability of drawing a blue ball at random?

1/3
4/15
6/15
5/15 (Correct answer)

Correct answer: 5/15

Total balls = 15; P(blue) = 5/15 = 1/3.

Question 50: The manager's 'PERSPICACIOUS' observations during the meeting helped the team solve a complex problem. Which of the following words is a synonym for 'PERSPICACIOUS'?

Ignorant
Astute (Correct answer)
Oblivious
Dull

Correct answer: Astute

'Perspicacious' means having a ready insight into and understanding of things. 'Astute' shares this meaning of being sharp and mentally keen. 'Ignorant', 'Dull', and 'Oblivious' are antonyms.

Question 51: Choose the word most similar in meaning to TENACIOUS.

Flexible
Weak
Persistent (Correct answer)
Careless

Correct answer: Persistent

Tenacious means tending to keep a firm hold and not giving up, making 'persistent' its best synonym.

Question 52: Choose the word most similar in meaning to ERUDITE.

Naive
Careless
Ignorant
Scholarly (Correct answer)

Correct answer: Scholarly

Erudite means having or showing great knowledge or learning, so 'scholarly' is the best synonym.

Question 53: Department budgets: HR Rs 5L, IT Rs 15L, Marketing Rs 10L. What fraction of total budget does IT represent?

1/4
1/3
1/2 (Correct answer)
2/5

Correct answer: 1/2

Total = 30L. IT = 15L. Fraction = 15/30 = 1/2.

Question 54: All glasses are breakable. This object is not breakable. Conclusion: This object is not a glass.

Partially true
False
True (Correct answer)
Uncertain

Correct answer: True

Contrapositive of 'All glasses are breakable': 'Not breakable → not a glass'. Object is not breakable → not a glass.

Question 55: A trader sells an article at a loss of 15%. If the selling price had been Rs 60 more, there would have been a gain of 10%. Find the cost price.

Rs 180
Rs 200
Rs 240 (Correct answer)
Rs 260

Correct answer: Rs 240

1.1C − 0.85C = 60 → 0.25C = 60 → C = Rs 240.

Question 56: Statement: All pens are books. No book is a pencil. Conclusion I: No pen is a pencil. Conclusion II: Some books are pens.

Only II follows
Both I and II follow (Correct answer)
Only I follows
Neither follows

Correct answer: Both I and II follow

All pens are books and no book is a pencil → no pen is a pencil (I). All pens are books → some books are pens by conversion (II). Both follow.

Question 57: If 'COMPUTER' is coded as 'DQPVUTER', what is the code for 'LAPTOP'?

LAPTQP
MBQTOP (Correct answer)
MBQUPQ
MBSUPQ

Correct answer: MBQTOP

The pattern is an alternating +1, +1, +1, +1 shift for the first half of the word, and the second half remains the same. COMP -> DQP V. UTER -> UTER. Applying this to 'LAPTOP': The first half is 'LAP', so L(+1)->M, A(+1)->B, P(+1)->Q. The second half 'TOP' remains unchanged. The code is 'MBQTOP'.

Question 58: A can complete a piece of work in 15 days and B can complete the same work in 20 days. They start working together, but A leaves after 4 days. In how many days will B complete the remaining work?

14 days
10 days
28/3 days (Correct answer)
12 days

Correct answer: 28/3 days

A's one day's work is 1/15. B's one day's work is 1/20. Their combined work for one day is (1/15) + (1/20) = (4+3)/60 = 7/60. In 4 days, they complete 4 * (7/60) = 28/60 = 7/15 of the work. The remaining work is 1 - (7/15) = 8/15. B alone will complete the remaining work in (8/15) / (1/20) = (8/15) * 20 = 32/3 = 10 and 2/3 days. The question asks for the remaining days, which is (8/15) of the work divided by B's rate (1/20), which is (8/15) * 20 = 160/15 = 32/3 days.

Question 59: Read the passage and answer: 'Despite being the richest nation, it struggled with poverty within its borders.' What does the passage suggest?

Wealth is evenly distributed in rich nations.
Poverty is unavoidable in every nation.
Richness and poverty cannot coexist.
Economic inequality can exist even in wealthy countries. (Correct answer)

Correct answer: Economic inequality can exist even in wealthy countries.

The contrast 'despite being the richest' and 'struggled with poverty' implies that wealth coexists with inequality.

Question 60: Which word is an ANTONYM of CONVOLUTED?

Simple (Correct answer)
Complex
Intricate
Twisted

Correct answer: Simple

Convoluted means extremely complex and difficult to follow, so 'simple' is its antonym.

Question 61: A company's quarterly sales were Rs 20L, Rs 25L, Rs 30L, Rs 25L. What is the average quarterly sales?

Rs 27L
Rs 24L
Rs 25L (Correct answer)
Rs 26L

Correct answer: Rs 25L

Average = (20+25+30+25)/4 = 100/4 = Rs 25L.

Question 62: The sales of Company X in 2020 were approximately what percentage of the total sales of all three companies in that year?

35%
28.5%
33.33%
31.25% (Correct answer)

Correct answer: 31.25%

First, find the total sales of all companies in 2020: 50 (X) + 50 (Y) + 60 (Z) = 160. Then, calculate the percentage for Company X: (Sales of X / Total Sales) * 100 = (50 / 160) * 100 = 31.25%.

Question 63: No cats are dogs. All dogs are animals. Which is a valid conclusion?

Some dogs are cats
No cats are animals
Some animals are not cats (Correct answer)
All cats are animals

Correct answer: Some animals are not cats

All dogs are animals and no dog is a cat. So those dogs (which are animals) are not cats — some animals are not cats.

Question 64: If in a certain language, 'ROSE' is coded as 'TQUG', how is 'BLUE' coded?

CNVF
CLVF
DMWH
DNWG (Correct answer)

Correct answer: DNWG

The coding pattern involves shifting each letter forward by two positions in the alphabet. R (+2) -> T, O (+2) -> Q, S (+2) -> U, E (+2) -> G. Applying the same logic to 'BLUE': B (+2) -> D, L (+2) -> N, U (+2) -> W, E (+2) -> G.

Question 65: Some doctors are engineers. All engineers are scientists. No scientist is an artist. Which conclusion follows?

Some doctors are scientists (Correct answer)
No doctor is an artist
All doctors are scientists
Some scientists are doctors

Correct answer: Some doctors are scientists

Some doctors are engineers. All engineers are scientists → those doctor-engineers are also scientists. So some doctors are scientists.

Question 66: Which algorithm is used to detect a cycle in a linked list efficiently?

Merge sort
Binary search
DFS with adjacency matrix
Floyd's Cycle Detection (Tortoise and Hare) (Correct answer)

Correct answer: Floyd's Cycle Detection (Tortoise and Hare)

Floyd's algorithm uses two pointers. If there is a cycle, the slow and fast pointers will eventually meet.

Question 67: Which word is a SYNONYM of PLACID?

Agitated
Serene (Correct answer)
Turbulent
Stormy

Correct answer: Serene

Placid means not easily upset and calm, so 'serene' is its synonym.

Question 68: The simple interest on a sum for 3 years at 8% per annum is $720. What is the principal?

$4,000
$3,000 (Correct answer)
$3,500
$2,500

Correct answer: $3,000

SI = PRT/100; 720 = P × 8 × 3/100; P = 72000/24 = $3,000.

Question 69: Find the next number: 3, 7, 15, 31, 63, ?

121
125
130
127 (Correct answer)

Correct answer: 127

Pattern: each term = 2 × previous + 1. 2×63+1 = 127.

Question 70: Choose the word that best expresses the meaning of 'NEFARIOUS'.

Honorable
Righteous
Virtuous
Wicked (Correct answer)

Correct answer: Wicked

'Nefarious' means wicked or criminal. 'Wicked' is a direct synonym. 'Righteous', 'honorable', and 'virtuous' are all antonyms, describing morally good character.

Question 71: A man buys a cycle for Rs. 5,600 and spends Rs. 400 on repairs. If he sells the cycle for Rs. 6,600, what is his profit percentage?

12.5%
15%
17.85%
10% (Correct answer)

Correct answer: 10%

The total cost price (CP) includes the purchase price and any overhead expenses like repairs. Total CP = Purchase Price + Repair Cost = 5600 + 400 = Rs. 6,000. The selling price (SP) is Rs. 6,600. Profit = SP - CP = 6600 - 6000 = Rs. 600. Profit Percentage = (Profit / Total CP) * 100 = (600 / 6000) * 100 = 10%.

Question 72: Choose the word most similar in meaning to OPULENT.

Dull
Feeble
Lavish (Correct answer)
Sparse

Correct answer: Lavish

Opulent means ostentatiously rich and luxurious, so 'lavish' is its closest synonym.

Question 73: The ages of A and B are in ratio 5:3. After 6 years the ratio becomes 7:5. What is A's current age?

12 years
10 years
18 years
15 years (Correct answer)

Correct answer: 15 years

Let A=5x, B=3x. (5x+6)/(3x+6)=7/5 → 25x+30=21x+42 → x=3. A=15.

Question 74: A line graph shows temperatures: Mon 30C, Tue 32C, Wed 28C, Thu 35C, Fri 33C. On which day was the temperature highest?

Thursday (Correct answer)
Monday
Friday
Tuesday

Correct answer: Thursday

Comparing values: 30, 32, 28, 35, 33. Thursday (35C) is the highest.

Question 75: Which word is an ANTONYM of SPURIOUS?

False
Counterfeit
Genuine (Correct answer)
Fake

Correct answer: Genuine

Spurious means not genuine or based on false reasoning, so 'genuine' is its antonym.

Question 76: A min-heap stores elements such that:

Left child is always smaller than right child
Elements are in sorted order
The root is the largest element
The root is the smallest element (Correct answer)

Correct answer: The root is the smallest element

In a min-heap, every parent is less than or equal to its children, so the root contains the minimum element.

Question 77: A merchant marks his goods 30% above cost and allows a 10% discount. His profit percentage is:

17% (Correct answer)
19%
15%
20%

Correct answer: 17%

Let CP=100. MP=130. SP=130×0.9=117. Profit=17%.

Question 78: In a code language, 'la fa na' means 'beautiful red rose', 'fa da' means 'red car', 'na ka' means 'rose garden'. What is the code for 'rose'?

la
na (Correct answer)
ka
fa

Correct answer: na

'na' appears in both 'la fa na' (beautiful red rose) and 'na ka' (rose garden). 'rose' is the common word, so na = rose.

Question 79: Choose the word that is most nearly the OPPOSITE in meaning to the word 'ESOTERIC'.

Commonplace (Correct answer)
Arcane
Recondite
Abstruse

Correct answer: Commonplace

The word 'Esoteric' means something that is intended for or likely to be understood by only a small number of people with a specialized knowledge or interest. 'Commonplace' means ordinary or widely known, which is the direct opposite. 'Abstruse', 'Arcane', and 'Recondite' are all synonyms for 'Esoteric'.

Question 80: A shopkeeper sells a laptop for Rs. 48,000, making a profit of 20%. To achieve a profit of 30%, at what price should he sell the laptop?

Rs. 50,000
Rs. 52,000 (Correct answer)
Rs. 54,000
Rs. 49,500

Correct answer: Rs. 52,000

First, find the Cost Price (CP). Selling Price (SP) = CP * (1 + Profit%). So, 48000 = CP * (1 + 0.20) => 48000 = CP * 1.2 => CP = 48000 / 1.2 = Rs. 40,000. Now, calculate the new SP for a 30% profit. New SP = CP * (1 + New Profit%) => New SP = 40000 * (1 + 0.30) => New SP = 40000 * 1.3 = Rs. 52,000.

Question 81: In a family of six (P, Q, R, S, T, U), there are two married couples. Q is a doctor and the father of T. U is the grandfather of R and is a contractor. S is the grandmother of T and is a housewife. There is one doctor, one contractor, one nurse, one housewife, and two students in the family. Which of the following is definitely a married couple?

U and T
Q and R
U and S (Correct answer)
P and R

Correct answer: U and S

S is the grandmother of T, and Q is the father of T. This means S is the mother of Q. U is the grandfather of R. Since S is a grandmother and U is a grandfather, and there are two married couples, it is highly likely they are a couple. U is the grandfather of R and S is the grandmother of T, and with Q being the father of T, U and S are the parents of Q, making them a married couple.

Question 82: What is the time complexity of Dijkstra's shortest-path algorithm using a binary heap priority queue?

O(E + V)
O(E log V) (Correct answer)
O(V squared)
O(V log V)

Correct answer: O(E log V)

With a binary heap, each edge relaxation is O(log V) and there are E relaxations — O(E log V).

Question 83: Find the compound interest on Rs 10,000 at 10% per annum for 2 years.

Rs 1000
Rs 2000
Rs 2200
Rs 2100 (Correct answer)

Correct answer: Rs 2100

A = 10000 × (1.1)^2 = 12100. CI = 12100 − 10000 = Rs 2100.

Question 84: Statements: 1. All smartphones are electronic devices. 2. Some electronic devices are manufactured in China. Conclusions: I. All smartphones are manufactured in China. II. Some smartphones may be manufactured in China.

Both I and II follow
Only conclusion I follows
Neither I nor II follows
Only conclusion II follows (Correct answer)

Correct answer: Only conclusion II follows

The first statement establishes that smartphones are a subset of electronic devices. The second statement says that some (not necessarily all) electronic devices are made in China. We cannot definitively conclude that ALL smartphones are made in China because the group of electronic devices made in China might not overlap with the group of smartphones. However, it is a possibility that they do overlap, making conclusion II ('Some smartphones may be manufactured in China') a valid logical possibility. Conclusion I is a definite statement that cannot be proven from the premises.

Question 85: Which number replaces ? in: 2, 3, 5, 9, 17, ?

31
30
33 (Correct answer)
35

Correct answer: 33

Pattern: each term = 2 × previous − 1. 2×17−1=33.

Question 86: Choose the word most similar in meaning to SAGACIOUS.

Naive
Foolish
Reckless
Wise (Correct answer)

Correct answer: Wise

Sagacious means having or showing keen mental discernment and good judgment, so 'wise' is the best synonym.

Question 87: What is the time complexity of: for(int i=0; i<n; i++) for(int j=i; j<n; j++) { }?

O(2^n)
O(n squared) (Correct answer)
O(n)
O(n log n)

Correct answer: O(n squared)

Total iterations = n + (n-1) + ... + 1 = n(n+1)/2 = O(n^2).

Question 88: Find the odd one out: 4, 9, 16, 25, 35, 49

4
49
25
35 (Correct answer)

Correct answer: 35

4=2^2, 9=3^2, 16=4^2, 25=5^2, 49=7^2 are all perfect squares. 35 is not a perfect square.

Question 89: No teacher is a student. Some students are intelligent. Which conclusion follows?

All intelligent people are students
Some teachers are intelligent
No teacher is intelligent
Some intelligent people are not teachers (Correct answer)

Correct answer: Some intelligent people are not teachers

Some students are intelligent. No teacher is a student. Those intelligent students are not teachers → some intelligent people are not teachers.

Question 90: Which of the following is the most suitable ANTONYM for the word 'ALLEVIATE'?

Relieve
Mitigate
Aggravate (Correct answer)
Assuage

Correct answer: Aggravate

'Alleviate' means to make a problem, suffering, or deficiency less severe. 'Aggravate' means to make a problem, injury, or offense worse or more serious. 'Mitigate', 'Assuage', and 'Relieve' are all synonyms for 'Alleviate'.

Question 91: Which word is an ANTONYM of INDOLENT?

Inactive
Diligent (Correct answer)
Sluggish
Lazy

Correct answer: Diligent

Indolent means habitually lazy, so its antonym is 'diligent,' meaning hardworking.

Question 92: Statements: 1. Some dogs are cats. 2. Some cats are rats. Conclusions: I. Some dogs are rats. II. No dog is a rat.

Either I or II follows
Only conclusion I follows
Only conclusion II follows
Neither I nor II follows (Correct answer)

Correct answer: Neither I nor II follows

Because both statements are particular ('Some'), there is no definite relationship established between 'dogs' and 'rats'. The cats that are dogs could be different from the cats that are rats. However, the conclusions I and II form a complementary pair. One of them must be possible, but neither is certain, so we cannot definitively say either follows.

AMCAT (Aspiring Minds Computer Adaptive Test)

The AMCAT is an employability assessment used across India and globally, testing English comprehension, quantitative ability, logical reasoning, and optional domain modules.

Questions

120 min

Time Limit

50%

To Pass

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