AMU MCA 2024 Previous Year Question Paper and Solution with PDF

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AMU MCA Previous Year Questions (PYQs)

AMU MCA 2024 PYQ

Qus : 1 AMU MCA PYQ 2024

Identify the grammatical category of the underlined word: The train went slowly.

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

The word slowly describes the verb went, hence it is an adverb.

Qus : 2 AMU MCA PYQ 2024

Choose the odd one out from the following:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Common expressions are loaf, piece, slice of bread.

Qus : 3 AMU MCA PYQ 2024

Mark the correct indirect narration of the following sentence: Direct – “Don’t shout,” I said to Jim.

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Imperative sentence → told + object + not to + verb.

Qus : 4 AMU MCA PYQ 2024

Fill in the blank with the most appropriate option: The judge gave a clear and ________ summing-up of the case.

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Perspicuous means clear and easy to understand.

Qus : 5 AMU MCA PYQ 2024

Fill in the blank with the most appropriate option: The bomb was ________ by an army expert.

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Correct word for making a bomb safe is defused.

Qus : 6 AMU MCA PYQ 2024

Choose the option with incorrect structure:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Correct phrase is afraid of, not afraid for.

Qus : 7 AMU MCA PYQ 2024

Fill in the blank with the most appropriate option: It began to get cold and he ________ not wearing his coat.

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Past tense sentence → regretted fits correctly.

Qus : 8 AMU MCA PYQ 2024

Which of the following is not an example of word formation process called blending?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Motel, moped, eurocrat are blends. Automate is not a blended word.

Qus : 9 AMU MCA PYQ 2024

Which one of the following is incorrect?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

“Nor” is used with “neither”. Sentence (b) is grammatically incorrect.

Qus : 10 AMU MCA PYQ 2024

Identify the type of underlined pronoun: He waited an hour before anybody came.

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

“Anybody” does not refer to a specific person, hence it is an indefinite pronoun.

Qus : 11 AMU MCA PYQ 2024

Choose the correct answer for the following: He is ________ with Parkinson’s disease.

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Correct collocation is “afflicted with a disease.”

Qus : 12 AMU MCA PYQ 2024

Choose the incorrect pair of singular–plural:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Plural of Bacillus is Bacilli, not Bacillium.

Qus : 13 AMU MCA PYQ 2024

Choose the incorrect from the following:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

With “either”, the verb should be singular → goes, not go.

Qus : 14 AMU MCA PYQ 2024

Which of the following is an example of relative clause?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Clause beginning with which is a relative clause.

Qus : 15 AMU MCA PYQ 2024

LOGIC: BHFNK :: CLERK : ?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Pattern: Each letter is moved +2, +2, +2, +2, +2 alphabetically.

CLERK →

C → E

L → N

E → G

R → T

K → M

Qus : 16 AMU MCA PYQ 2024

Statements:

A. All terrorists are guilty.

B. All terrorists are criminals.

Conclusions:

I. Either all criminals are guilty or all guilty are criminals.

II. Some guilty persons are criminals.

III. Generally criminals are guilty.

IV. Crime and guilt go together.

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

From statements: Terrorists ⊆ Guilty and Terrorists ⊆ Criminals.

There must be some guilty persons who are criminals.

Conclusion II follows.

Other conclusions are either vague or not definite.

Qus : 17 AMU MCA PYQ 2024

If P denotes +, Q denotes −, R denotes × and S denotes ÷, which of the following statements is correct?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

$8×8 + 8÷8 − 8 = 64 + 1 − 8 = 57$

Qus : 18 AMU MCA PYQ 2024

X is 5th from right end and Y is 15th from left end. If they interchange their places, Y becomes 24th from left end. Then what is the number of students?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

After interchange, Y is 24th from left. Original position of X = 24 Total students $= 24 + 5 − 1 = 28$

Qus : 19 AMU MCA PYQ 2024

At the time of marriage a man was 6 years older than his wife but 12 years after the marriage he was $\frac{6}{5}$ times the age of his wife. What were their ages in years at the time of marriage?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Let wife’s age at marriage = $x$ Man’s age = $x + 6$ After 12 years: $\frac{x + 18}{x + 12} = \frac{6}{5}$ $5x + 90 = 6x + 72$ $x = 18$ Man’s age = $24$

Qus : 20 AMU MCA PYQ 2024

Statements:

A. Some books are pens.

B. No pen is pencil.

Conclusions:

I. Some pens are books.

II. Some pencils are books.

III. Some books are not pencils.

IV. All pencils are books.

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

From statement A → I follows. From statement B → books (which are pens) cannot be pencils → III follows.

Qus : 21 AMU MCA PYQ 2024

If ‘A $ B’ means ‘A is the father of B’, ‘A * B’ means ‘A is the mother of B’, ‘A @ B’ means ‘A is the wife of B’, then which of the following means ‘M is the grandmother of N’?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

M * T ⇒ M is mother of T

T $ R ⇒ T is father of R

So M is grandmother of R ✅

R @ N ⇒ R is wife of N (female), so N is husband of R

This does not make R parent of N. ❌

Check (d) M * R @ T @ N

M * R ⇒ M is mother of R

R @ T ⇒ R is wife of T (so T is husband of R)

T @ N ⇒ T is wife of N (impossible here: T already husband in previous step) ❌

Check (c) M $ R $ T @ N

M $ R ⇒ M is father of R (male) ❌ (grandmother must be female)

So only valid form is (a): M * T $ N @ R

M * T ⇒ M is mother of T

T $ N ⇒ T is father of N

So M is grandmother of N ✅

(Last part “N @ R” just adds N is wife of R, doesn’t break grandmother relation)

Qus : 22 AMU MCA PYQ 2024

If ‘P F Q’ means ‘P is father of Q’; ‘P M Q’ means ‘P is mother of Q’; ‘P S Q’ means ‘P is sister of Q’, then how is D related to N in ‘N M A F B S D’?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

M A → N is mother of A

A F B → A is father of B

B S D → B is sister of D

Qus : 23 AMU MCA PYQ 2024

A man walks 1 km towards East and then he turns to South and walks 5 km. Again he turns to East and walks 2 km, after this he turns to North and walks 9 km. Now, how far is he from his starting point?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Take start as (0,0).

East 1 → (1,0)

South 5 → (1,-5)

East 2 → (3,-5)

North 9 → (3,4)

Distance from start

$= \sqrt{3^2 + 4^2} = 5$ km

Qus : 24 AMU MCA PYQ 2024

Pointing to a gentleman, Deepak said, “His only brother is the father of my daughter’s father.” How is the gentleman related to Deepak?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

“My daughter’s father” = Deepak.

So “father of my daughter’s father” = Deepak’s father.

Gentleman’s only brother = father of Deepak = Deepak’s father.

So gentleman is brother of Deepak’s father = Deepak’s uncle.

Qus : 25 AMU MCA PYQ 2024

Study the following information carefully and answer the question given below:

In a certain code language:

‘sovian attract class’ is written as ‘chi ki pa’,

‘she are honor sovian’ is written as ‘din sa chi ta’,

‘team teaches ink class’ is written as ‘la ja pa ha’ and

‘she are team’ is written as ‘din sa ha’.

Which of the following may be the code for ‘are she ink class’?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

From ‘she are team’ = din sa ha

and ‘she are honor sovian’ = din sa chi ta

Common = din, sa ⇒ codes for she and are.

From ‘sovian attract class’ = chi ki pa

and ‘team teaches ink class’ = la ja pa ha

Common = pa ⇒ code for class.

In ‘team teaches ink class’, remaining codes (la, ja) are for teaches and ink.

So “are she ink class” must include: din, sa, pa, and (la or ja).

Qus : 26 AMU MCA PYQ 2024

Krishna runs 20m towards East and turns to right, runs 10m and turns to right, runs 9m and again turns to right, runs 5m and then turns to left, runs 12m and finally turns to right and runs 6m. Now which direction is he facing?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Start facing East.

Right → South

Right → West

Right → North

Left → West

Right → North

So final facing direction = North.

Qus : 27 AMU MCA PYQ 2024

The place of Meena is 15th from the top and bottom both. How many students in her class?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Total students = 15 + 15 − 1 = 29

Qus : 28 AMU MCA PYQ 2024

Choose the option which has the same relationship as the given pair:

Painting : Artist

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Painting is created by Artist.

Poem is created by Poet.

Qus : 29 AMU MCA PYQ 2024

If A is to the South of B and C is to the East of B, in what direction is A with respect to C?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Place B at center.

A is South of B.

C is East of B.

So from C, A lies towards South-West.

Qus : 30 AMU MCA PYQ 2024

A clock is so placed that at 12:00 noon its minute hand points towards North-East. In which direction does its hour hand point at 1:30 p.m.?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

At 12:00, minute hand at 12 points North-East.

So 12 position = North-East.

At 1:30, hour hand is at 1.5 position = 45 degrees clockwise from 12.

North-East + 45 degrees = East.

Qus : 31 AMU MCA PYQ 2024

A clock is so placed that at 12:00 noon its minute hand points towards North-East. In which direction does its hour hand point at 1:30 p.m.?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

At 12:00, minute hand at 12 points North-East.

So 12 position = North-East.

At 1:30, hour hand is at 1.5 position = 45 degrees clockwise from 12.

North-East + 45 degrees = East.

Qus : 32 AMU MCA PYQ 2024

In a zoo, there are rabbits and pigeons. If heads are counted there are 200 in all and if legs are counted there are 580 in all. How many pigeons are there in the zoo?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Let rabbits = r, pigeons = p

Heads:

r + p = 200

Legs:

4r + 2p = 580

Multiply first equation by 2:

2r + 2p = 400

Subtract:

2r = 180 → r = 90

So p = 200 − 90 = 110

Qus : 33 AMU MCA PYQ 2024

Six persons A, B, C, D, E and F are sitting in two rows, three in each.

E is not at the end of any row.

D is second to the left of F.

C, the neighbour of E, is sitting diagonally opposite to D.

B is the neighbour of F.

Which of the following are sitting diagonally opposite to each other?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Arranging step-by-step as per conditions, the only pair sitting diagonally opposite is A and C.

Qus : 34 AMU MCA PYQ 2024

In how many of the given years was the production of fertilizers more than the average production of the given years?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Total = 25 + 40 + 60 + 45 + 65 + 50 + 75 + 80 = 440

Average = 440 / 8 = 55

Above average years: 2007 (60), 2009 (65), 2011 (75), 2012 (80) → 4 years

Qus : 35 AMU MCA PYQ 2024

The average production of 2006 and 2007 was exactly equal to the average production of which of the following pairs of years?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Average of 2006 and 2007 = (40 + 60) / 2 = 50

Check options:

2008 and 2010 → (45 + 50) / 2 = 47.5

2009 and 2010 → (65 + 50) / 2 = 57.5

2005 and 2009 → (25 + 65) / 2 = 45

2005 and 2011 → (25 + 75) / 2 = 50

Qus : 36 AMU MCA PYQ 2024

What was the percentage decline in the production of fertilizers from 2007 to 2008?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Decline = 60 − 45 = 15

Percentage decline = (15 / 60) × 100 = 25%

Qus : 37 AMU MCA PYQ 2024

In which year was the percentage increase in production as compared to the previous year the maximum?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

2006 over 2005: (40−25)/25 ×100 = 60%

2007 over 2006: (60−40)/40 ×100 = 50%

2009 over 2008: (65−45)/45 ×100 ≈ 44.44%

2012 over 2011: (80−75)/75 ×100 ≈ 6.67%

Maximum increase = 2006

Qus : 38 AMU MCA PYQ 2024

Out of 6 consonants and 3 vowels, how many words of 3 consonants and 2 vowels can be formed?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Choose consonants: $^6C_3 = 20$

Choose vowels: $^3C_2 = 3$

Arrange 5 selected letters: $5! = 120$

Total words $= 20 \times 3 \times 120 = 7200$

Qus : 39 AMU MCA PYQ 2024

Arrange the following words according to dictionary arrangement:

1.Episode

2.Epitaxy

3.Epitome

4.Epilogue

5.Epigene

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

All words start with Epi.

Compare next letters:

Epigene (g)

Epilogue (l)

Episode (s)

Epitaxy (t a)

Epitome (t o)

Alphabetical order:

Epigene → Epilogue → Episode → Epitaxy → Epitome

So order = 5, 4, 1, 2, 3

Qus : 40 AMU MCA PYQ 2024

A person covers 9 km at a speed of 3 km/hr, 25 km at a speed of 5 km/hr and 30 km at a speed of 10 km/hr. The average speed of the entire journey is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Total distance $= 9 + 25 + 30 = 64$ km Total time $= \frac{9}{3} + \frac{25}{5} + \frac{30}{10}$ $= 3 + 5 + 3 = 11$ hr Average speed $= \frac{64}{11} = 5\ \frac{9}{11}$ km/hr

Qus : 41 AMU MCA PYQ 2024

The number that must be added to the terms of the ratio $11 : 29$ to make it equal to $11 : 20$ is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Let the required number be $x$ $\frac{11 + x}{29 + x} = \frac{11}{20}$ $20(11 + x) = 11(29 + x)$ $220 + 20x = 319 + 11x$ $9x = 99$ $x = 11$

Qus : 42 AMU MCA PYQ 2024

The least number which when divided by 9, 10 and 15 leaves the remainders 4, 5 and 10 respectively is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Required number $= \text{LCM}(9,10,15) - 5$ $\text{LCM}(9,10,15) = 90$ $90 - 5 = 85$

Qus : 43 AMU MCA PYQ 2024

A man purchased 5 toys at the rate of Rs. 200 each, 6 toys at the rate of Rs. 250 each and 9 toys at the rate of Rs. 300 each. The average cost of one toy is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

$= 5 \times 200 + 6 \times 250 + 9 \times 300$ $= 1000 + 1500 + 2700 = 5200$ Total toys $= 5 + 6 + 9 = 20$ Average cost $= \frac{5200}{20} = 260$

Qus : 44 AMU MCA PYQ 2024

In a class the ratio of boys and girls is 4 : 3. If 7 girls join the class, the ratio of boys and girls becomes 3 : 4. Then the number of boys in the class is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Initial ratio $= 4 : 3$ Let boys $= 4x$, girls $= 3x$ After 7 girls join: $\frac{4x}{3x + 7} = \frac{3}{4}$ $16x = 9x + 21$ $7x = 21$ $x = 3$ Number of boys $= 4x = 12$

Qus : 45 AMU MCA PYQ 2024

A person buys a circular plot of land for Rs. 79,200 at the rate of Rs. 700 per sq.m. The radius of the plot is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Area of plot $= \frac{79200}{700} = 113.14\ \text{sq.m (approx)}$ Using $ \pi r^2 = \text{Area}$ $\frac{22}{7} \times r^2 = 113.14$ $r^2 = 36$ $r = 6\ \text{m}$

Qus : 46 AMU MCA PYQ 2024

A polygon has 9 diagonals. Then the number of sides of the polygon is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Number of diagonals of a polygon $= \frac{n(n-3)}{2}$ $\frac{n(n-3)}{2} = 9$ $n(n-3) = 18$ $n^2 - 3n - 18 = 0$ $(n-6)(n+3) = 0$ $n = 6$

Qus : 47 AMU MCA PYQ 2024

A century leap year is divisible by:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

A century year is a leap year only if it is divisible by 400.

Qus : 48 AMU MCA PYQ 2024

If salary of a person is first increased by 15% and thereafter decreased by 12%, then the net change in the salary is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Net percentage change $= a + b + \frac{ab}{100}$ Here $a = 15$, $b = -12$ $= 15 - 12 - \frac{15 \times 12}{100}$ $= 3 - 1.8 = 1.2%$ Net change is increase of $1.2%$

Qus : 49 AMU MCA PYQ 2024

If $\frac{^nP_5}{^nP_3} = 20$, then the value of $n$ is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

$\frac{^nP_5}{^nP_3} = \frac{n!/(n-5)!}{n!/(n-3)!}$ $= \frac{(n-3)!}{(n-5)!}$ $= (n-3)(n-4)$ So, $(n-3)(n-4) = 20$ $n^2 - 7n + 12 = 20$ $n^2 - 7n - 8 = 0$ $(n-8)(n+1) = 0$ $n = 8$

Qus : 50 AMU MCA PYQ 2024

My age becomes half that of my brother’s if we simply add 2 years to his present age. If I am 25 years old today, my brother will be:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Let brother’s present age $= x$ According to question: $25 = \frac{x + 2}{2}$ $x + 2 = 50$ $x = 48$

Qus : 51 AMU MCA PYQ 2024

When 40% of a number is added to 42, the result is the number itself. The number is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Let the number $= x$ $0.4x + 42 = x$ $x - 0.4x = 42$ $0.6x = 42$ $x = 70$

Qus : 52 AMU MCA PYQ 2024

The population of a town increases by 5% annually. If it is 15,435 now, its population 2 years ago was:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Present population $= 15435$ $P(1.05)^2 = 15435$ $P \times 1.1025 = 15435$ $P = \frac{15435}{1.1025} = 14000$

Qus : 53 AMU MCA PYQ 2024

0.5 of a number is equal to 0.07 of another. The ratio of the numbers is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Let the numbers be $x$ and $y$ $0.5x = 0.07y$ $\frac{x}{y} = \frac{0.07}{0.5}$ $\frac{x}{y} = \frac{7}{50}$ Ratio $= 7 : 50$

Qus : 54 AMU MCA PYQ 2024

In what time will a sum of money double itself at $6\ \frac{1}{4}%$ p.a. simple interest?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

For simple interest to double: $T = \frac{100}{R}$ Here $R = 6.25$ $T = \frac{100}{6.25} = 16$ years

Qus : 55 AMU MCA PYQ 2024

At simple interest, a sum doubles after 20 years. The rate of interest per annum is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

For doubling in simple interest: $R = \frac{100}{T}$ $R = \frac{100}{20} = 5%$

Qus : 56 AMU MCA PYQ 2024

In what time will the simple interest on Rs. 780 at 5% be equal to the simple interest on Rs. 600 at $6\ \frac{1}{2}%$?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Simple interest $= \frac{PRT}{100}$ $\frac{780 \times 5 \times T}{100} = \frac{600 \times 6.5 \times T}{100}$ $39T = 39T$ True for all $T$

Qus : 57 AMU MCA PYQ 2024

Oranges are bought at the rate of 10 for Rs. 25 and sold at the rate of 9 for Rs. 25. The profit is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Cost price per orange $= \frac{25}{10} = 2.5$ Selling price per orange $= \frac{25}{9}$ Profit per orange $= \frac{25}{9} - 2.5 = \frac{25 - 22.5}{9} = \frac{2.5}{9}$ Profit % $= \frac{\frac{2.5}{9}}{2.5} \times 100 = \frac{100}{9} = 11\ \frac{1}{9}%$

Qus : 58 AMU MCA PYQ 2024

A man rows to a place 48 km distant and back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Let speed in still water $= u$, stream speed $= v$ $\frac{4}{u+v} = \frac{3}{u-v}$ $4(u-v) = 3(u+v)$ $u = 7v$ Total time: $\frac{48}{u+v} + \frac{48}{u-v} = 14$ Substitute $u = 7v$: $\frac{48}{8v} + \frac{48}{6v} = 14$ $\frac{6}{v} + \frac{8}{v} = 14$ $\frac{14}{v} = 14 \Rightarrow v = 1$

Qus : 59 AMU MCA PYQ 2024

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Difference (2 years) $= P\left(\frac{R}{100}\right)^2$ $1 = P\left(\frac{4}{100}\right)^2$ $1 = P \times \frac{16}{10000}$ $P = \frac{10000}{16} = 625$

Qus : 60 AMU MCA PYQ 2024

A train leaves Delhi at 4.10 p.m. and reaches Aligarh at 7.25 p.m. The average speed of the train is 40 km/hr. What is the distance from Delhi to Aligarh?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Time taken $= 3\ \text{hours}\ 15\ \text{minutes} = 3.25\ \text{hours}$ Distance $= \text{Speed} \times \text{Time}$ $= 40 \times 3.25 = 130\ \text{km}$

Qus : 61 AMU MCA PYQ 2024

Sonu’s age is $\frac{2}{3}$ of Manu’s. After 5 years Sonu will be 45 years old. Manu’s present age is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Sonu’s present age $= 45 - 5 = 40$ Given $40 = \frac{2}{3}$ of Manu’s age Manu’s age $= 40 \times \frac{3}{2} = 60$ years

Qus : 62 AMU MCA PYQ 2024

The degree of peakedness is called:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

The statistical measure that describes the peakedness of a distribution is called Kurtosis.

Qus : 63 AMU MCA PYQ 2024

Factorization of expression $4z(3a + 2b - 4c) + (3a + 2b - 4c)$ is:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Common factor $= (3a + 2b - 4c)$ $= (3a + 2b - 4c)(4z + 1)$

Qus : 64 AMU MCA PYQ 2024

A person travelled a distance of 50 km in 8 hours. He covered a part of the distance on foot at the rate of 4 km/hr and a part on a bicycle at the rate of 10 km/hr. How much distance did he travel on foot?

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

$\frac{x}{4} + \frac{50-x}{10} = 8$ Multiply by 20: $5x + 2(50-x) = 160$ $5x + 100 - 2x = 160$ $3x = 60 \Rightarrow x = 20$

Qus : 65 AMU MCA PYQ 2024

Select the appropriate option which best expresses the idiom “spill the beans”:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

“Spill the beans” means to reveal a secret.

Qus : 66 AMU MCA PYQ 2024

Choose the meaning of the underlined idiom: “He is learning his own language from scratch.”

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

“From scratch” means from the beginning.

Qus : 67 AMU MCA PYQ 2024

Choose the appropriate option that explains the underlined idiom: “He probably thought his job was a piece of cake.”

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

“Piece of cake” means very easy.

Qus : 68 AMU MCA PYQ 2024

Identify the meaning of the underlined idiom: “We couldn’t make ends meet.”

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

“Make ends meet” means to manage basic expenses.

Qus : 69 AMU MCA PYQ 2024

The expression “off the cuff” stands for:

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

“Off the cuff” means without preparation.

Qus : 70 AMU MCA PYQ 2024

Fill in the blank with the most appropriate option: We worked ________ three hours.

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Duration of time is expressed using for.

Qus : 71 AMU MCA PYQ 2024

Fill in the blank with the most appropriate option: We came ________ car.

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Means of transport without article → by car.

Qus : 72 AMU MCA PYQ 2024

Fill in the blank with the most appropriate option: The Cat jumped ________ the Chair.

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Movement from one place to another requires “onto”.

Qus : 73 AMU MCA PYQ 2024

Complete the following with the most appropriate option: “We’ll play tennis tomorrow, ________ the rain.”

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

The sentence expresses condition, so “depending on” is correct.

Qus : 74 AMU MCA PYQ 2024

Fill in the blank with the most appropriate preposition: It fell ________ the table and broke.

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Correct usage is “fell off the table”.

Qus : 75 AMU MCA PYQ 2024

Fill in the blanks with most appropriate pair of articles: “We were looking for ________ place to spend ________ night.”

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AMU MCA Previous Year PYQ AMU MCA AMU MCA 2024 PYQ

Solution

Indefinite place → a place, specific night → the night.

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