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Worksheets

Mock 09-09-2025

Total questions: 64

Worksheet time: 1hrs 4mins

Name
Class
Date
1.

Dynamic Programming is often used for (choose all that apply):

a)

Optimization problems that involve making a choice that leave one or more subproblems to be solved.

b)

Problems previously solved using divide and conquer that have over lapping subproblems

c)

Non polynomial solution problems

d)

Subproblems where resources are shared

2.

.................technique doesn't give guarantee that our solution is optimal

a)

greedy method

b)

dynamic programming approach

c)

backtracking

d)

branch and bound

3.

Which of the following problems is equivalent to the 0-1 Knapsack problem?

a)

You are given a bag that can carry a maximum weight of W. You are given N items which have a weight of {w1, w2, w3,…., wn} and a value of {v1, v2, v3,…., vn}. You can break the items into smaller pieces. Choose the items in such a way that you get the maximum value

b)

You are studying for an exam and you have to study N questions. The questions take {t1, t2, t3,…., tn} time(in hours) and carry {m1, m2, m3,…., mn} marks. You can study for a maximum of T hours. You can either study a question or leave it. Choose the questions in such a way that your score is maximized

c)

You are given infinite coins of denominations {v1, v2, v3,….., vn} and a sum S. You have to find the minimum number of coins required to get the sum S

d)

None of the mentioned

4.

If b is the source vertex, what is the minimum cost to reach f vertex?

a)

8

b)

9

c)

6

d)

4

5.
Which of the following is/are property/properties of a dynamic programming problem?
a)
Optimal substructure
b)
Overlapping subproblems
c)
Greedy approach
d)
Both optimal substructure and overlapping subproblems
6.

...........................technique is used by solving optimization problems

a)

divide and conquer

b)

greedy method

c)

dynamic programming

d)

both b and c

7.

Which of the following is/are property/properties of a dynamic programming problem?

a)

Optimal substructure

b)

Overlapping subproblems

c)

Greedy approach

d)

d) Both optimal substructure and overlapping subproblems

8.

In dynamic programming, the technique of storing the previously calculated values is called ___________

a)

Saving value property

b)

Storing value property

c)

Memorization

d)

Mapping

9.

You are given a knapsack that can carry a maximum weight of 60. There are 4 items with weights {20, 30, 40, 70} and values {70, 80, 90, 200}. What is the maximum value of the items you can carry using the knapsack?

a)

170

b)

200

c)

160

d)

90

10.

Time complexity of fractional knapsack problem is (a)  

11.
In the given graph, identify the shortest path having minimum cost to reach vertex E if A is the source vertex.
a)
a-b-e
b)
a-c-e
c)
a-c-d-e
d)
a-c-d-b-e
12.
a)

1

b)

2

c)

3

d)

all

13.

Fractional knapsack problem is solved most efficiently by which of the following algorithm?

(a)  

14.

The algorithms like merge sort, quick sort and binary search are based on

a)

Greedy algorithm

b)

Divide and Conquer algorithm

c)

Hash table

d)

Parsing

15.

In dynamic programming, the technique of storing the previously calculated values is called ___________

a)

Saving value property

b)

Storing value property

c)

Memorization

d)

Mapping

16.

What is the time complexity of the dynamic programming implementation of the longest common subsequence problem where length of one string is “m” and the length of the other string is “n”?

a)

O(n)

b)

O(m)

c)

O (m + n)

d)

O(mn)

17.

_________ approach is best to solve 0/1 Knapsack problem

a)

Greedy

b)

Divide and Conquer

c)

Dynamic Programming

d)

Iterative

18.
How many edges will a tree consisting of N nodes have?
a)
Log(N)
b)
N
c)
N-1
d)
N+1
19.

Consider a job scheduling problem with 4 jobs J1, J2, J3, J4 and with corresponding deadlines: ( d1, d2, d3, d4) = (4, 2, 4, 2). Which of the following is not a feasible schedule without violating any job schedule?

a)

J2, J4, J1, J3

b)

J4, J1, J2, J3

c)

J4, J2, J1, J3

d)

J4, J2, J3, J1

20.

Consider the following two sequences :

The length of longest common subsequence of X and Y is :Consider the following two sequences :

X = < B, C, D, C, A, B, C >, and Y = < C, A, D, B, C, B >

The length of longest common subsequence of X and Y is :

a)

5

b)

3

c)

4

d)

2

21.

Flow : River :: Stagnant : ?

a)

Rain

b)

Stream

c)

Pool

d)

Canal

22.

Ornithologist : Bird :: Archaeologist : ?

a)

Islands

b)

Archaelogy

c)

Aquatic

d)

Mediators

23.

Peacock : India :: Bear : ?

a)

Australia

b)

Sri Lanka

c)

Russia

d)

England

24.

Conference : Chairman :: Newspaper : ?

a)

Reporter

b)

Distributor

c)

Editor

d)

Printer

25.

MUNDANE:SPIRITUAL :: ? : ?

a)

common : ghostly

b)

routine : novel

c)

worldly : unworldly

d)

secular : clerical

26.

John neither attends the class regularly or learns his lessons.

a)

attends

b)

class

c)

or

d)

lessons

27.

The citizens of a democracy take part in government either directly as member of government and by voting in elections.

a)

citizens

b)

in

c)

and

d)

voting

28.

Not only Kingley House Settlement and all phases of the civic life of New Orleans keenly  interested Eleanor McMain.

a)

Not only

b)

phases

c)

keenly

d)

interested

29.

No sooner had she seen me with the girl she is jealous of when she broke up with me.

a)

had she

b)

jealous

c)

when

d)

broke

30.

The most time parents can spend with their children, the fewer problems they will

         have in adulthood.

a)

most

b)

their

c)

problems

d)

in adulthood

31.

Synonym of Protean

a)

Consistent

b)

Gullible

c)

Guile

d)

Erratic

32.

Vacillate

a)

Unwavering

b)

Shimmering

c)

Rotating

d)

Volatile

33.

Erratic

a)

Volatile

b)

Inconsistent

c)

Turbulent

d)

Variable

34.

Vituperate

a)

Aggrandize

b)

Verity

c)

Mendacity

d)

Berate

35.

Lambaste

a)

Craven

b)

Absolve

c)

Abrogate

d)

Revile

36.

Tirade

a)

veracious

b)

canny

c)

harangue

d)

duplicity

37.

Calumny

a)

Iniquity

b)

Candor

c)

Prevaricate

d)

Defamation

38.

Reprove

a)

fallacious

b)

eulogize

c)

exculpate

d)

reprimand

39.

Obloquy

a)

gainsay

b)

revile

c)

castigate

d)

aspersion

40.

Antonym of Insidious

a)

baleful

b)

Minatory

c)

harmful

d)

boon

41.

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

a)

12 Days

b)

15 Days

c)

16 Days

d)

18 Days

42.

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in

a)

20 days

b)

45/2 days

c)

25 days

d)

30 days

43.

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

a)

Rs.375

b)

Rs.400

c)

Rs.600

d)

Rs.800

44.

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

a)

4 days

b)

5 days

c)

6 days

d)

7 days

45.

A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

a)

8 hours

b)

10 hours

c)

12 hours

d)

24 hours

46.

A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

a)

15 days

b)

20 days

c)

25 days

d)

30 days

47.

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

a)

23 days

b)

37 days

c)

75/2

d)

40 days

48.

A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished?

a)

11:30 AM

b)

12 Noon

c)

12:30 PM

d)

1:00 PM

49.

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

a)

5

b)

11/2

c)

6

d)

8

50.

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

a)

35

b)

40

c)

45

d)

50

51.

The price of rice has increased by 60%. In order to restore the original price, the new price must be reduced by?

a)

33 1/3%

b)

37 1/2%

c)

33%

d)

35%

52.

The marked price of an article is Rs. 5000 but due to festive offer a certain percent of discount is declared. Mr. X availed this opportunity and bought the article at reduced price. He then sold it at Rs. 5000 and thereby made a profit of 111/9%. The percentage of discount allowed was?

a)

10 %

b)

3 1/3 %

c)

7 1/2 %

d)

11 1/9 %

53.

A number is increased by 20%. To get back the original number, the increased number is to be reduced by?

a)

20 %

b)

21 %

c)

16 2/3%

d)

14 1/3%

54.

A village lost 12% of its goats in a flood and 5% of remainder died from diseases. If the number left now is 8360. What was the original number before the flood?

a)

1000

b)

10,000

c)

1,00,000

d)

8536

55.

A scored 72% in a paper with a maximum mark of 900 and 80% in another paper with a maximum mark of 700. If the result is based on the combined percentage two papers, the combined percentage is?

a)

75.5 %

b)

76 %

c)

77 %

d)

77.6 %

56.

An army lost 10% of its men in war, 10% of the remaining died due to disease and 10% of the rest were declared disabled. Thus the strength of the army was reduced to 7,29,000 active men. The original strength of the army was?

a)

1500000

b)

1000000

c)

1200000

d)

1100000

57.

What % of a day is 30 minutes?

a)

2.83%

b)

2.083%

c)

2.09%

d)

2.075%

58.

A businessman’s earning by 25% in one year but decreases by 4% in the next. Going by this pattern, after 5 years, his total earnings would be Rs. 72000. What is his present earning?

a)

10000

b)

80000

c)

40000

d)

54000

59.

In an examination 73% of the candidates passed in the quantitative aptitude test, 70% passed in General awareness and 64% passed in both. If 6300 failed in both subject the total number of examinees were?

a)

60000

b)

50000

c)

30000

d)

25000

60.

A man spends 75% of his income. His income increases by 20% and his expenditure also increase by 10%. Find the percentage increase in his savings?

a)

25 %

b)

50 %

c)

15 %

d)

10 %

61.

Enter Your Name

4 lines
62.

Enter Enrolment No

4 lines
63.

Enter Your Branch

4 lines
64.

Enter Your Acropolis Email ID

4 lines