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Reasoning Ability

Directions (1-4): In each of the following questions,

the relationship between different elements is shown

in the statements followed by two conclusions. Find

the conclusion which is definitely true.

1) Statements:

A>D>R<T=F≤M<S>G

Conclusions:

I. A>T

II.R<S

a) If only conclusion I is true.

b) If only conclusion II is true.

c) If either conclusion I or II is true.

d) If neither conclusion I nor II is true.

e) If both conclusions I and II are true.

2) Statements:

N>Y>R=W>S≤V≥L=H

Conclusions:

I. N>S

II.H≥V






3) Statements:

X>Y=Z≥Q≥R≥I=P>N

Conclusions:

I. Y>N

II. Z<P






4) Statements:

S>R>E<H≥W≥T>A>M

Conclusions:

I.S<M

II.E>A






Directions (5-7): Study the following information

carefully and answer the below questions.

Six persons- A, B, C, D, E and F are having different

price mobile phones. F has costlier mobile than A. B has

a mobile which is costlier only than E. C has costlier

mobile than F who has costlier mobile than D. Only two

persons are having mobile between C and A. Third

costlier mobile rate is 45000.

5) How many persons are having costlier mobile than

A?

a) One

b) Two

c) Three

d) Four

e) None

6) Who among the following has lower price mobile

than D?

a) A

b) B

c) E

d) All a, b and c options

e) Both b and c

7) If the sum of the price of D and F is 95000 and F

and C is 110000 then what is the mobile price of C?

a) 60000

b) 65000

c) 55000

d) 50000

e) None of these


carefully and answer the below questions

Eight persons- P, Q, R, S, T, U, V, and W are planning

for the vacation on different months- March, June,





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August and November on different dates either 8 or 27 of

the given month. All the information is not necessarily in

the same order.

Q is planning for the vacation in the month of odd

number of days and odd number date. Only one person is

planned between Q and V. The number of persons plans

before S is the same as after R. Three persons are

planning between Q and S. W is planned before T but

not before P. Both W and U are planned for the same

month. The numbers of persons planned between W and

R is same as P and T.

8) Which of the following combination is true?

a) March- R

b) June- Q

c) August- T

d) March- V

e) August- W

9) Four of the following five are alike in a certain way

and form a group. Which of the following does not

belong to the group?

a) P

b) W

c) Q

d) T

e) R

10) If the persons are arranged in alphabetical order

from March 8th

then the position of how many

persons remain unchanged?

a) No one

b) One

c) Two

d) Three

e) More than Three

11) Which of the following month and date W

planned for vacation?

a) August 8

b) June 8

c) August 27

d) November 8

e) March 27

12) How many persons are planning vacation between

S and Q?

a) Four

b) One

c) Two

d) Three

e) None


carefully to answer the given questions:

6 7 2 4 5 3 2 7 9 4 5 9 6 3 5 6 2 8 5

7 4 7 8 5

13. How many 5’s are there in the above series which

are immediately followed by a prime number?

a) One

b) Two

c) Three

d) None

e) None of these

14. How many even numbers are there in the above

series which are immediately followed as well as

preceded by an odd number?

a) One

b) Two

c) Three

d) More than three

e) None

15. How many odd numbers are there in between the

numbers which are eighth from the right end and

seventh from the left end in the given series?

a) Eight

b) Four

c) Seven

d) Six

e) Five

16. Which among the following number is tenth to the

left of eighth from the right end?

a) 7

b) 9

c) 2





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d) 5

e) None of these

Direction (17-19): Study the following information

carefully and answer the questions given below:

In the question below, three statements are given

followed by conclusions: I, II, and III. You have to

take the given statements to be true even if they seem

to be at variance from commonly known facts. Read

the conclusions and decide which of the given

conclusions logically follows from the given

statements disregarding commonly known facts.

17) Statement:

Some Blueberry is rose.

All Rose are pink.

Only few roses are black.

Conclusion:

I. Some Blueberry is black

II. All roses can be black.

III. All pink can be black.

a) Only III

b) Both I and II

c) Both II and III

d) None Follows

e) Only I

18) Statement:

Some grey are red.

Only few red are tomato.

Only few grey are shoes.

Conclusion:

I. All Shoes can be red.

II. Some tomato is grey.

III. No tomato is grey.

a) Either II or III

b) Both I and II

c) Only I and either II or III

d) Both I and III

e) Only II follows

19) Statement:

No card is black.

All Black is paper.

Only few cards are green.

Conclusion:

I. All green can be Black.

II. All Paper can be card.

III. Some green can be paper.

a) Both I and II

b) Both II and III

c) Only II

d) Only III

e) Both I and III

20) How many such pairs of digits are there in the

number 725318649 each of which has as many digit

between them in the number as in numerical series.

a) Two

b) Four

c) Three

d) Five

e) Six

Direction (21-25) Study the following information and

answer the question given below:

There are eight person A, B, C, D, E, F, G, and H who

were born on the same day of the same month of the

different year i.e. 1983, 1950, 1978, 1963, 1993, 1969,

1994, and 1986 but not necessarily in the same order.

Note: Their ages are considered as on the same month

and same day of 2021 as their date of births.

The age of H is 5 years more than A. D is born just after

A. E is older than D. The difference between the ages of

A and E is thrice the difference between the ages of A

and B. Age of C is 3 years more than the square of an

odd number which is less than 32. F is older than D. The

difference between the ages of G and H is a square of a

number.

21.Which of the following combination is correct?

(a) 1993-32-C

(b) 1983-38-A

(c) 1969-68-G

(d) 1986-32-H

(e) 1950-68-D

22. What is the difference between the age of C and

G?

(a) 24





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(b) 16

(c) 25

(d) 30

(e) 35

23. Who among the following is not older than H?

(a) G

(b) E

(c) D

(d) F

(e) None of these

24. Four of the following five are alike in a certain

way based on their position in the above arrangement

and so form a group. Which is the one that does not

belong to that group?

(a) A-38

(b) H-43

(c) F-58

(d) E-49

(e) D-35

25. If E is related to F, G is related to H in the same

way C is related to which of the following?

(a) B

(b) D

(c) H

(d) A

(e) F

Directions (26-30): Answer the questions based on the

information given below.

Eight persons viz. P, Q, R, S, T, U, V and W are living in

an eight storey building, but not necessarily in the same

order. The lowermost floor is numbered 1 and the floor

immediately above is numbered 2 and so on. Not more

than one person lives on the same floor.

Q lives on an odd numbered floor below the sixth floor

but not on the bottommost floor. Only two persons live

between Q and P, who lives above Q. The number of

floors between Q and P is one more than the number of

floors between Q and S who doesn’t live adjacent to

P.There is only one person living between P and T who

lives immediately below V. Not more than two persons

live between U and R who lives immediately below W.


way and hence form a group. Find the one that

doesn’t belong to that group.

a) W

b) T

c) U

d) P

e) V

27. In which of the following floor does R live?

a) 4th

b) 5th

c) 1st

d) 7th

e) 8th

28. How many persons live between T and W?

a) One

b) Three

c) Two

d) More than three

e) None

29. If all the persons are arranged in alphabetical

order from top to bottom, then how many persons

remain unchanged in their positions?

a) One

b) Two

c) Three

d) More than three

e) None

30. If P is related to T in the same way Q is related to

S, then U is related to _____?

a) T

b) Q

c) S

d) W

e) R

Directions (31-35): Answer the questions based on the

information given below.

Eight persons viz. Kavi, Meera, Netra, Priya, Ram, Ravi,

Sita and Varun bought an article one after another, but





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not necessarily in the same order. The person who

bought the article first was numbered 1 and immediately

next was numbered 2 and so on. Not more than one

person bought the article at the same time.

Kavi was bought at an even numbered position after

number 4. Only two persons bought the article between

Kavi and Varun who bought immediately after Netra.

Sita bought three persons after Netra and immediately

after Priya. Meera bought at an odd numbered position

which is immediately before Ram who doesn’t buy

before Ravi.

31. Who among the following person bought at the

last?

a) Kavi

b) Priya

c) Netra

d) Ram

e) None of these

32. How many persons bought between Varun and

Meera?

a) One

b) Two

c) Three

d) More than three

e) None

33. Who among the following person bought two

persons before Priya?

a) Ravi

b) Netra

c) Varun

d) Ram

e) None of these

34. Which of the following option is correct with

respect to the final arrangement?

a) Sita – 6

b) Priya – 2

c) Varun – 5

d) Meera – 1

e) None of these


way and hence form a group. Find the one who

doesn’t belong to that group.

a) Priya

b) Meera

c) Sita

d) Varun

e) Ravi

Answers:

1) Answer: B

I. A>T (A>D>R<T)False

II.R<S (R<T=F≤M<S)True

2) Answer: A

I. N>S (N>Y>R=W>S)True

II.H≥V (V≥L=H)False

3) Answer: A

I. Y>N (Y=Z≥Q≥R≥I=P>N)True

II. Z=P(Z≥Q≥R≥I=P)False

4) Answer: D

I.S<M (S>R>E<H≥W≥T>A>M)False

II.E>A (E<H≥W≥T>A)False

Directions (5-7):

B has a mobile which is costlier only than E.

_>_>_>_>B>E

C has a costlier mobile than F who has costlier mobile

than D.

C>F>D

Only two persons are having mobile between C and A.

F has a costlier mobile than A.

C>F>D>A>B>E

Third costlier mobile rate is 45000.

C>F>D(45000)>A>B>E

5) Answer: C

6) Answer: D

7) Answer: A

D+F=95000

F=95000-45000=50000

F+C=110000

C=110000-50000=60000

Directions (8-12):





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March 8 P

March 27 S

June 8 W

June 27 U

August 8 T

August 27 Q

November 8 R

November 27 V

Q is planning for the vacation in the month of odd

number of days and odd number date.

Three persons are planning between Q and S.

From the above condition, there are two possibilities.

Case1 Case2

March 8

March 27 S Q

June 8

June 27

August 8

August 27 Q S

November 8

November 27

The number of person plans before S is the same as after

R.

Only one person is planned between Q and V.

From the above condition, there are three possibilities.

Case1 Case2 Case1a

March 8

March 27 S Q S

June 8 R

June 27 V V

August 8

August 27 Q S Q

November 8 R R

November 27 V

Both W and U are planned for the same month.

From the above condition, case1 gets eliminated.

Case1 Case2 Case1a

March 8

March 27 S Q S

June 8 R W/U

June 27 V V W/U

August 8

August 27 Q S Q

November 8 R W/U R

November 27 W/U V

The numbers of persons planned between W and R is

same as P and T.

Case2 Case1a

March 8 P/T P/T

March 27 Q S

June 8 R W

June 27 V U

August 8 P/T P/T

August 27 S Q

November 8 W R

November 27 U V

W is planned before T but not before P.

From the above condition, case2 gets eliminated, case1a

shows the final arrangement.

Case2 Case1a

March 8 P/T P





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March 27 Q S

June 8 R W

June 27 V U

August 8 P/T T

August 27 S Q

November 8 W R

November 27 U V

8) Answer: C

9) Answer: C

10) Answer: C

11) Answer: B

12) Answer: D

Directions (13-16):

13. Answer: B

5 3, 5 7

14. Answer: D

3 27, 9 4 5, 9 6 3, 7 4 7,7 8 5

15. Answer: D

16. Answer: C

17) Answer: D

Explanation:

18) Answer: C

Explanation:

19) Answer: D

Explanation:

20) Answer: D

Direction (21-25)

21) Answer: B

22) Answer: A

23) Answer: C

24) Answer: D





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25) Answer: A

Given statements, the age of H is 5 years more than A. D

is born just after A. E is older than D.

Year of Birth Age Person

1950 71 E/

1963 58 E/

1969 52 E/

1978 43 H

1983 38 A

1986 35 D

1993 28

1994 27

The difference between the ages of A and E is thrice the

difference between the ages of A and B.

Only one position is left for E and B.


1950 71 E

1963 58

1969 52

1978 43 H

1983 38 A

1986 35 D

1993 28

1994 27 B

Age of C is 3 years more than the square of an odd

number which is less than 32.

F is older than D.


1950 71 E

1963 58 F/G

1969 52 G/F

1978 43 H

1983 38 A

1986 35 D

1993 28 C

1994 27 B

The difference between the ages of G and H is a square

of a number. So, the final arrangement is-


1950 71 E

1963 58 F

1969 52 G

1978 43 H

1983 38 A

1986 35 D

1993 28 C

1994 27 B

Directions (26-30)

Explanation:

1. Q lives on an odd numbered floor below sixth

floor but not on the bottommost floor. Only two

persons live between Q and P, who lives above

Q.





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2. The number of floors between Q and P is one

more than the number of floors between Q and S

who doesn’t live adjacent to P. There is only one

person living between P and T who lives

immediately below V.

3. Not more than two persons live between U and R

who lives immediately below W. Hence, case 2

gets eliminated.

26) Answer: E

27) Answer: C

28) Answer: B

29) Answer: A

30) Answer: D

Directions (31-35):

Explanation:

1. Kavi was bought at an even numbered position

after number 4.

2. Only two persons bought the article between

Kavi and Varun who bought immediately after

Netra.





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3. Sita bought three persons after Netra and

immediately after Priya.

4. Meera bought at an odd numbered position which

is immediately before Ram who doesn’t buy

before Ravi. Hence, case 2 gets eliminated.

31) Answer: D

32) Answer: C

33) Answer: B

34) Answer: E

35) Answer: A

Numerical Ability

What value should come in the place of (?) in the

following questions?

1. 24/22 of (7 1/3 + 5 1/3) = ?

A.28

B.34

C.56

D.61

E.76

2. 4√(268 - 2√(144 )) + (125)(1/3) = ?2

A.1

B.4

C.2

D.5

E.3

3. 5 ¾ of 48 = √625 + ?

A.181

B.251

C.315

D.412

E.None of these

4. √(12+ √(154+ √225) ) = ?

A.1

B.2

C.3





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D.4

E.5

5. 850 ÷ 25 * 2 + 15 – 12 = ?

A.61

B.71

C.81

D.91

E.None of these

6. (0.8)43 ÷ (0.64)18 * (0.512) = (0.8)?

A.8

B.10

C.12

D.14

E.17

7. 45879 + 24856 + 1245 + 214 - 101 =?

A.72093

B.18581

C.26548

D.65412

E.96547

8. 25% of 240 * 15 = ? + 550

A.300

B.350

C.400

D.450

E.250

9. (9 * 9 + 8 * 8 + 144)/17 = ?

A.15

B.17

C.19

D.21

E.None of these

10. (64/4)2 * 45/15 – 92= ?

A.310

B.515

C.687

D.249

E.None of these

What value should come in the place of (?) in the

following number series?

11. 2, 10, 40, ?, 240, 240

A.120

B.160

C.200

D.140

E.240

12. 342, 217, 153, 126, 118, ?

A.118

B.102

C.110

D.117

E.119

13. 14, 28, 56, ?, 154, 224

A.112

B.98

C.118





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D.77

E.142

14. 32, 30, 57, ?, 663, 3309

A.127

B.137

C.142

D.156

E.167

15. 7, 78, 17, ?, 27, 58

A.48

B.54

C.60

D.68

E.78

Following question contains two equations as I and

II. You have to solve both equations and determine

the relationship between them and give answer as,

16.

I. 2x2 + 9x – 5 = 0

II. y2 + 2y – 24 = 0

a) If x < y

b) If x > y

c) If x ≤ y

d) If x ≥ y

e) If relationship between x and y cannot be

determined.

17.

I) 2x2 + 30x + 112 = 0

II) y2 + 19y + 88 = 0

A.x > y

B.x ≥ y

C.x = y or relationship can’t be determined.

D.x < y

E.x ≤ y

18.

I) x2 – 10x + 25 = 0

II) y2 + 5y – 50 = 0

A.x > y

B.x ≥ y


D.x < y

E.x ≤ y

19.

I: (10x2 + 15) – (5x2 + 140) = 0

II: y2 + y - 20 = 0

A.If x < y

B.If x > y

C.If x ≤ y

D.If x ≥ y

E.If relationship between x and y cannot be

determined

20.

I) 2x + 4y = 68

II) 5x – 2y = 32

A.x > y

B.x ≥ y





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D.x < y

E.x ≤ y

Study the following information carefully and answer the questions given below.

The below graph shows the number of employees working in five different companies in India in two different

years

21. The number of employees working in

company R in the year 2018 is what percent of

the number of employees working in company P

in the same year?

A.55%

B.65%

C.75%

D.85%

E.None of these

22. What is the respective ratio of the number of

employees working in the company Q and S

together in the year 2018 to the number of

employees working in the company R and T

together in the year 2019?

A.2: 3

B.3: 4

C.4: 5

D.5: 6

E.None of these





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23. The number of employees working in the

company R in the year 2019 is what percent of

the number of employees working in company S

in 2019?

A.100%

B.300%

C.150%

D.250%

E.None of these

24. Find the average number of employees

working in all the companies together in the year

2018.

A.420

B.380

C.290

D.210

E.None of these

25. Find the ratio of the number of employees

working in T in the year 2018 to the number of

employees working in Q in 2019?

A.2: 3

B.3: 1

C.2: 9

D.6: 1

E.None of these

26. The ratio of the length to breadth of the

rectangle is 3:2 and the perimeter of the

rectangle is 70 cm. If the area of the square is

67 more than the area of the rectangle, what is

the side of the square?

A.18 cm

B.19 cm

C.17 cm

D.20 cm

E.None of these

27. A and B together can complete the work in

16 days. If the ratio of the time taken by A and B

is 2: 1 and the ratio of the time taken by

complete the work by A and C is 3: 2. In how

many days A, B and C together can complete

the three-fourth of the work?

A.3 days

B.6 days

C.8 days

D.12 days

E.None of these

28. The respective ratio of the present ages of

father to son is 7:3. Five years ago, the ratio of

their ages was 5:2. Then what will be the son’s

age, 10 years from now?

A.45 years

B.55 years

C.60 years

D.35 years





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E.40 years

29. The ratio of the amount invests in scheme A

to scheme B is 2:3. If scheme A offers simple

interest at the rate of 12% per annum for 5 years

and scheme B offers simple interest at the rate

of 15% per annum for 4 years. If the total

interest earned by scheme A and B is Rs.3750,

then what is the amount invests by scheme B?

A.Rs.2850

B.Rs.3300

C.Rs.2760

D.Rs.3750

E.None of these

30. Train A of length 180 m crosses another

train B travelling in opposite direction in 15

seconds. Train A crosses a pole in 20 sec and

the length of train A is half of the length of train

B then find the speed of train B in?

A.27 m/sec

B.33 m/sec

C.39 m/sec

D.21 m/sec

E.None of these

31. The cost price of the mobile is Rs.2000. If

the shopkeeper marked up the price by 30% and

allowed the discount of 10%, then what is the

profit percentage of the mobile?

A. 13%

B. 15%

C. 12%

D. 17%

E.None of these

32. The average weight of the school is 38 kg. If

one new student joined, the class the average of

weight of the school is increased by 2 kg. If the

weight of the new student is 50 kg, then what is

the initial number of students in the school?

A.18

B.10

C.20

D.12

E.None of these

33. 24 % of monthly salary of P is equal to 32%

of monthly salary of Q and 16 % of monthly

salary of Q is equal to 20 % of monthly salary of

R. If the monthly income of R is Rs. 48000, then

find the difference between the income of P to

that of Q?

A.Rs. 15000

B.Rs. 20000

C.Rs. 18000

D.Rs. 24000

E.None of these





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34. A basket contains x white, 6 red and 4

yellow colour balls. If one ball is taken randomly

from the basket and the probability of getting a

red colour ball is 2/5, then find the total number

of balls in the basket?

A.12

B.18

C.16

D.15

E.None of these

35. If x kg of rice at Rs.60 per kg is mixed with

48 kg of rice at Rs.75 per kg to get a mixture

sold at Rs.68 per kg, and then find the value of

x.

A.42 kg

B.38 kg

C.40 kg

D.36 kg

E.None of these

Answers:

1) Answer: E

24/22 of (7 1/3 + 5 1/3) = ?

=> 24/4 of (22/3 + 16/3)

=> 76

2) Answer: E

4√(268 - 2√(144 )) + (125)(1/3) = ?2

(268 – 12)(1/4) + 5 = ?2

?2 = 4 + 5

? = 3

3) Answer: B

5 ¾ of 48 = √625 + ?

=> 23/4 * 48 = 25 + ?

=> 251

4) Answer: E

√(12+ √(154+ √225) ) = ?

=>√(12+ √(154+ 15))

=>√(12+ 13)

=> 5

5) Answer: B

850 ÷ 25 * 2 + 15 – 12 = ?

=> 68 + 15 – 12

=> 71

6) Answer: B

(0.8)43 ÷ (0.64)18 * (0.512) = (0.8)?

(0.8)43/(0.8)36 * (0.8)3 = (0.8)?

(0.8)43 – 36 + 3 = (0.8)?

? = 10

7) Answer: A

45879 + 24856 + 1245 + 214 - 101 =?

72194-101 =?

=72093

8) Answer: B

25% of 240 * 15 = ? + 550





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900 – 550 = ?

? = 350

9) Answer: B

(9 * 9 + 8 * 8 + 144)/17 = ?

=> (9 + 8)2/(9 + 8)

=> (9 + 8)

=> 17

10) Answer: C

(64/4)2 * 45/15 – 92= ?

=> 162 * 3 – 81

=> 687

11) Answer: A

2 * 5 = 10

10 * 4 = 40

40 * 3 = 120

120 * 2 = 240

240 * 1 = 240

12) Answer: D

342 – 53 = 217

217 – 43 = 153

153 – 33 = 126

126 – 23 = 118

118 – 13 = 117

13) Answer: B

14 + 14 * 1 = 28

28 + 14 * 2 = 56

56 + 14 * 3 = 98

98 + 14 * 4 = 154

154 + 14 * 5 = 224

14) Answer: E

32 * 1 – 2 = 30

30 * 2 – 3 = 57

57 * 3 – 4 = 167

167 * 4 – 5 = 663

663 * 5 – 6 = 3309

15) Answer: D

7 + 71 = 78

78 – 61 = 17

17 + 51 = 68

68 – 41 = 27

27 + 31 = 58

16) Answer: E

I.2x2 + 9x – 5 = 0

=> 2x2 + 10x – x – 5 = 0

=> 2x(x + 5) – 1(x + 5) = 0

=> (x + 5)(2x – 1) = 0

=> x = -5, ½

II.y2 + 2y – 24 = 0

=> y2 + 6y – 4y – 24 = 0

=>y(y + 6) – 4(y + 6) = 0

=> (y – 4)(y + 6) = 0

=> y = 4, -6

Hence, relationship between x and y cannot be

determined.

17) Answer: B

2x2 + 30x + 112 = 0





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2x2 + 14x + 16x + 112 = 0

2x(x + 7) + 16(x + 7) = 0

(2x + 16)(x + 7) = 0

x = - 8, -7

y2 + 19y + 88 = 0

y2 + 11y + 8y + 88 = 0

y(y + 11) + 8(y + 11) = 0

(y + 8)(y + 11) = 0

y =-8, -11

x ≥ y

18) Answer: B

x2 – 10x + 25 = 0

x2 – 5x – 5x + 25 = 0

x(x – 5) – 5(x – 5) = 0

(x – 5)(x – 5) = 0

x = 5, 5

y2 + 5y – 50 = 0

y2 + 10y – 5y – 50 = 0

y(y + 10) – 5(y + 10) = 0

(y – 5)(y + 10) = 0

y = 5, -10

x ≥ y

19) Answer: E

From I =>(10x2 + 15) – (5x2 + 140) = 0

=> 5x2 – 125 = 0

=> x = ± 5

From II =>y2 + 5y - 4y - 20 = 0

=>Y(y + 5) -4(y + 5) = 0

=> (y + 5) (y – 4) = 0

=> y = -5, 4

Hence, relationship between x and y cannot be

determined

20) Answer: D

2x + 4y = 68 ----(1)

5x – 2y = 32 ----(2)

12x = 132

x = 11

y = 11.5

x < y

21) Answer: C

Number of employees working in company R in the

year 2018 = 300

Number of employees working in company P in the

same year = 400

Required % = 300/400 * 100 = 75%

22) Answer: C

Number of employees working in Q and S together in

2018 = 500 + 300 = 800

Number of employees working in R and T together in

the year 2019 = 600 + 400

= 1000

Required ratio = 800: 1000 = 4: 5

23) Answer: B

Number of employees working in the company R in

the year 2019 = 600





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Number of employees working in company S in 2019

= 200

Required % = 600/200 * 100 = 300%

24) Answer: A

Required average = (400 + 500 + 300 + 300 + 600)/5

= 2100/5

= 420

25) Answer: D

Number of employees working in T in the year 2018

= 600

Number of employees working in Q in 2019 = 100

Required Ratio = 600: 100 = 6: 1

26) Answer: B

Perimeter of the rectangle = 2 * (l + b)

70 = 2 * (5x)

x = 7 cm

Length of the rectangle =3 * 7 = 21 cm

Breadth of the rectangle = 2 * 7 = 14 cm

Area of the rectangle = l * b = 21 * 14 = 294

Area of the square = 294 + 67 = 361

Side of the square = 19 cm

27) Answer: C

A: B: C = 6: 3: 4

1/6x + 1/3x = 1/16

3/6x = 1/16

1/x = 1/8

= > x = 8

A = 1/(6 * 8) = 1/48

B = 1/(3 * 8) = 1/24

C = 1/(4 * 8) = 1/32

A + B + C = 1/48 + 1/24 + 1/32

= (2 + 4 + 3)/96

= 9/96

= 3/32

A + B + C together can complete 3/4th of the work =

3/4 * 32/3

= 8 days

28) Answer: B

The respective ratio of the present ages of father to

son is 7:3

Father’s age = 7x

Son’s age = 3x

Five years age, Father’s age = 7x-5

Son’s age = 3x-5

Ratio

(7x – 5)/(3x – 5) = 5/2

14x – 10 = 15x – 25

x = 15

Son’s present age = 15 * 3=45 years

After 10years, the son’s age = 55 years

29) Answer: D

SI = P * R * N/100

2x * 12 * 5/100 + 3x * 15 * 4/100 = 3750

120x + 180x = 375000

X = 1250

Amount invests in scheme B = 3 * 1250 = Rs.3750





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30) Answer: A

Let the speed of train B be x,

Length of Train A = 180 m

Length of Train B = 360 m

T = D/S

{(180 + 360) / [(180/20) + x]} = 15

540/(9 + x) = 15

36 = 9 + x

X = 36 – 9 = 27 m/sec

31) Answer: D

Given that, CP=Rs. 2000

Then, MP=2000 * 130/100=Rs. 2600

Thus, SP=2600 * 90/100=Rs. 2340

Profit percentage=[(2340 – 2000)/2000] * 100=17%

32) Answer: E

Let Total number of students=x

And New student weight=y

(38 * x + y)/(x + 1)=40

38x + y=40x + 40

2x –y + 40=0

2x – 50 + 40=0

2x=10

x=5

33) Answer: B

(24/100)*P = (32/100)*Q

P/Q = (32/24) = 4/3

(16/100)*Q = (20/100)*R

Q/R = 20/16 = 5/4

P : Q : R = 20 : 15 : 12

The monthly income of R = Rs. 48000

12’s = 48000

1’s = 4000

Required difference = 5’s = Rs. 20000

34) Answer: D

Total number of balls = 10 + x

Required probability

= > 6/(10 + x) = 2/5

= > 10 + x = 15

= > x = 5

Total number of balls in the basket = 10 + 5 = 15

balls

35) Answer: A

=7:8

x=7/8 * 48=42 kg





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English Language

Directions (1-7): Read the given passage carefully and

answer the questions that follow.

Most of the earth is covered by water. The oceans have

thus provided us with plenty exploration opportunities

and challenges, while pioneering efforts in the Gulf of

Mexico and off the California coast have led the way to

the first offshore oil and gas production.

The first wells were drilled from piers that extended into

the ocean waters at Summerland, California, in 1896,

while Gulf Oil drilled the first offshore well detached from

shore in Caddo Lake, Louisiana, in 1911. From these

early beginnings, oil exploration and production has

been progressing further offshore and into deeper water,

and in 1947, Kerr McGee made history by completing

the first offshore well out of sight of land.

Relative newcomer to offshore exploration and

production, Petrobras is now the world's leader in

subsea completions and has a very aggressive plan to

play a dominant role in the production from the ultra-

deep ocean depths in the future. Not only are they

actively researching new technologies and ---------------

solutions to produce oil from the 3,000 m depths, they

have leased 80% of the world's deep water drilling rigs

and plan to spend over 5 billion US dollars to develop

and hire deep water vessels over the next 9 to 10

years.

1. Which among the following was once a newcomer but

then became a giant in its field?

A) Kerr McGee

B) Gulf Oil

C) Petrobras

D) i and iii

E) None of the above

2. Fill the blank with information from the passage.


the ocean waters at ________________?

A) Summerland -California

B) Caddo Lake - Louisiana

C) Gulf of Mexico - California

D) Both A and C

E) No error

3. When was the first offshore well drilled?

A) 1896

B) 1911

C) 1947

D) 1981


4. Which of the following is/are true?





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i) The first wells were drilled from piers that extended

into the ocean waters at Summerland, California, in

1896

ii) The first offshore well out of sight of land was drilled

by Kerr McGee

iii) Petrobras has planned to invest 5 billion US dollars to

develop and hire deep water vessels.

A) Only iii

B) I, & ii

C) only i & iii

D) ii only

E) All of the above.

5. Which of the following has led the way to the first

offshore oil and gas production?

A) Pioneering efforts in the ocean

B) Pioneering efforts in the Gulf of Mexico and off the

California coast

C) Pioneering efforts in the deep sea

D) Both A and B


6. What can be the suitable title for the given passage?

A) The ocean of opportunities

B) Oil the next Asset

C) Hidden features of Deep Sea

D) Pioneering Production from the Deep Sea

E) All the above

7. Which of the words have the same meaning as the

word pioneering mentioned in passage?

A) orthodox

B) revolutionary

C) hidebound

D) hackneyed


Directions (8-10): A sentence is divided into four parts.

Rearrange the parts to make a meaningful sentence.

8) will experience no symptoms, (A)/ fewer people than

someone with symptoms (B)/ evidence suggests that

about one in five infected people (C)/ and they will

transmit the virus to significantly (D)/

A) BCDA

B) CABD

C) CADB

D) BDAC


9. 42% less likely to transmit the virus than (A)/

Byambasuren’s review found that (B)/ symptomatic

people (C)/ asymptomatic individuals were (D)/

A) BCDA

B) CABD

C) CADB

D) BDAC


10. and all the data have been analysed, (A)/ although

the vaccine might not turn out to be quite (B)/ its

effectiveness is likely to stay well above 50% (C)/ so

effective once the trial is complete (D)/

A) BCDA





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B) CABD

C) CADB

D) BDAC


Directions (11-15): Read the sentence carefully and find

out any error in any parts of the sentence.

11. Mr Biden’s most daunting immediate (A)/ domestic

tasks will surely be dealing (B)/ with covid-19—despite

this week’s further (C)/ good news about vaccines.(D)/

No error

A) A

B) B

C) C

D) D

E) No error

12. More than Most leaders, (A)/ Boris Johnson relies

upon the people around him, (B)/ for his positive

qualities (C)/ are counterbalanced by negative ones (D)/

No error

A) A

B) B

C) C

D) D

E) No error

13. Biden is engaged in a grand relaunch (A)/ of his

administration after (B)/ a disaster-prone 11 months (C)/

from the election. (D)/No error

A) A

B) B

C) C

D) D

E) No error

14. As the public, governments and (A) / the investors

wake up to (B) / climate change, the clean-energy (C) /

industry is gaining momentum. (D)/ No error (E)

A) A

B) B

C) C

D) D

E) No error

15. As oil demand dwindles, (A) / they will face a vicious

fight for market share (B) / which will be won by the

countries (C) / with the cheapest and cleanest crude.

(D)/ No error (E)

A) A

B) B

C) C

D) D

E) No error

Directions (16-20): In the following passage, some of the

words have been left out. Find the best word that fit the

blank contextually and grammatically.

Renewable energy has been one sector that has been --

-----(A)------- amid economic shock generated due to the

novel coronavirus disease (COVID-19) pandemic; and

India is expected to gain handsomely. The country may





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contribute the most towards pushing the sector up in

2021, according to the International Energy Agency’s

(IEA) new report, Renewables 2020 — Analysis and

forecast to 2025. The agency expects India to double its

green energy capacity addition next year from 2020

levels. Many -------(B)-------wind and solar photovoltaic

(PV) projects are expected to become -------(C)-------

following delays due to COVID-19 and challenges in

negotiating contracts and acquiring land. The report

described the impact of COVID-19 on renewables in the

electricity, heat and transport sectors. Key markets -------

(D)-------the United States, India and some European

countries have permitted deadlines to be extended for

auctions and policies and robust pre-COVID-19 project

pipeline ensure continued momentum.

The report predicted a decline in global renewable

capacity addition in 2022 due to the expiry of incentives

and ensuing policy uncertainties. The expiry of

production tax credits in the US and capital subsidies in

China in the coming years may create -------(E)-------over

the pace of future development.

16. Which of the following can fit the blank A?

A) strength

B) divided0

C) resilient

D) profited

E) All of the above can replace the word.

17. Which of the following can fit the blank B?

A) high

B) procure

C) acquire

D) auctioned


18. Which of the following can fit the blank C?

A) function

B) operational

C) profitable

D) produce


19. Which of the following can fit the blank D?

A) containing

B) comprising

C) compromising

D) consists


20. Which of the following can fit the blank E?

A) uncertainty

B) expansion

C) undue

D) Both A and C


Directions (21-23): In the below question a sentence is

given with a phrase bold. If needed replace the bold part

so as to make the sentence meaningfully as well as

grammatically correct.

21. Testing of products under the RBI's regulatory

sandbox, which delayed on account of COVID-19





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pandemic, has commenced, with two entities starting the

'test phase' with their products.

A) was delayed on account of

B) that delayed on account of

C) is delayed on account of

D) which was delayed on account of

E) No replacement is required

22. Private sector lenders HDFC Bank and IndusInd

Bank have been put out the so-called ‘red flag’ list, a

system used for monitoring foreign portfolio investor

(FPI) limits.

A) have been put on

B) have been put in

C) have been put at

D) have been put off

E) All of the above.

23. Birdfin is set to revolutionise the space of learning

financial habits through gamification.

A) is set to revolutionising

B) is set to revolution

C) is about to revolutionise

D) is set to revolutionised

E) No replacement is required.

24. “The Jeevan Seva app launched by Delhi

Government is the first-ever initiative to help COVID

patients to reach healthcare facilities in EV cabs take

care ofthe patients and planet with its zero emission

cabs.

A) When taking care of

B) taking care of

C) in taking care of

D) while taking care of

E) No replacement is required.

Directions (25-27): Pick out the most effective word from

the given words to fill in the blanks to make the sentence

meaningfully complete.

25. The president’s election campaign team continued to

press for recounts and investigations in battleground

states where Biden has already been _______the

winner, including a new request in Wisconsin for a

partial recount.

A. straitjacket

B. conquer

C. declared

D. boondocks

E. None of these

26. Donald Trump’s daughter was obsessed with status

and used to blame classmates for her infractions of

school rules while projecting a refined _______,

Lysandra Ohrstrom, who was a maid of honour at her

wedding, claimed in Vanity Fair.

A. threshold

B. derision

C. lithe

D. persona

E. None of these





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27. However, BBC documents obtained this year

following freedom of information requests by Channel 4

and ITV documentary teams have _______ light on the

original internal investigation that cleared Bashir of

wrongdoing.

A. shed

B. hindsight

C. brink

D. deceitfulness

E. None of these

Directions (28-30): In each question below, four words

printed in bold type are given. These are numbered (A),

(B), (C) and (D). One of these words printed in bold

might either be wrongly spelt or inappropriate in the

context of the sentence. Find out the word that is

inappropriate or wrongly spelt, if any. The number of the

word is your answer. If the words printed in bold are

correctly spelt and appropriate in the context of the

sentence then mark (E), i.e. 'All Correct', as your

answer.

28) Recent findings by US-based art historian (A)

Adriano Marinazzo suggest that the graffiti (B) of a curly

(C) haired man near the front door of Palazzo Vecchio,

the historic town hall in Florence, was created by the

Reneissance (D) artist Michelangelo.

A. Historian

B. Graffiti

C. Curly

D. Reneissance

E. All correct

29) As part of NASA’s first commercial (A) human

spacecraft system in history, a crew of four astronauts is

now on (B) route to the International Space Station (ISS)

on a 27-hour flight, onboard (C) SpaceX’s Crew Dragon

spacecraft called Resilience (D).

A. Commercial

B. On

C. Onboard

D. Resilience

E. All correct

30) Some of the research that the crew is carrying with

themselves includes materials to investigate (A)food

physiology, (B) which will study the effects of dietary

improvements on immune (C)function and the gut

microbio (D) and how those improvements can help

crews adapt to spaceflight.

A. Investigate

B. Physiology

C. Immune

D. Microbio

E. All correct

Answers:

1) Answer: C

Refer these lines Relative newcomer to offshore

exploration and production, Petrobras is now the world's

leader in subsea completions and has a very aggressive





Dec 2020)

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plan to play a dominant role in the production from the

ultra-deep ocean depths in the future.

2) Answer: C









Option C is incorrect.

We are not provided with the information related to the

location of Gulf of Mexico.

3) Answer: B









4) Answer: E

All are true.

Option (i) is true The first wells were drilled from piers

that extended into the ocean waters at Summerland,

California, in 1896, while Gulf Oil drilled the first offshore

well detached from shore in Caddo Lake, Louisiana, in

1911. From these early beginnings, oil exploration and

production has been progressing further offshore and

into deeper water, and in 1947, Kerr McGee made

history by completing the first offshore well out of sight

of land. (Option (ii) is true)

Relative newcomer to offshore exploration and

production, Petrobras is now the world's leader in

subsea completions and has a very aggressive plan to

play a dominant role in the production from the ultra-

deep ocean depths in the future. ……..they have leased

80% of the world's deep water drilling rigs and plan to

spend over 5 billion US dollars to develop and hire deep

water vessels over the next 9 to 10 years. (option (iii) is

true)

5) Answer: B

The oceans have thus provided us with plenty

exploration opportunities and challenges, while

pioneering efforts in the Gulf of Mexico and off the

California coast have led the way to the first offshore oil

and gas production.

Refer the highlighted line.

6) Answer: D

Option D is the suitable title,

The entire passage revolves around the production of oil

and gas and the companies’ efforts to bring them out

from the deep sea.

Option D best sums up the entire idea hence can be

considered as a suitable title.





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7) Answer: B

Pioneering - Involving accomplishments or activities that

have not been done before, or developing or using new

methods or techniques; revolutionary

Other options are incorrect.

Hidebound - unable to change because of tradition or

convention

8) Answer: C

Evidence suggests that about one in five infected people

will experience no symptoms, and they will transmit the

virus to significantly fewer people than someone with

symptoms.

9) Answer: D

Byambasuren’s review found that asymptomatic

individuals were 42% less likely to transmit the virus

than symptomatic people.

10) Answer: D

Although the vaccine might not turn out to be quite so

effective once the trial is complete and all the data have

been analysed, its effectiveness is likely to stay well

above 50%.

11) Answer: B

Mr Biden’s most daunting immediate domestic task will

surely be dealing with covid-19—despite this week’s

further good news about vaccines.

Here Only one task i.e to deal with the virus spread. So

plural word “TASKS” is incorrect.

12) Answer: B

More than Most leaders, Boris Johnson relies on the

people around him, for his positive qualities are

counterbalanced by negative ones

Rely on is used in context of a living being; Rely upon is

used in context of a non living thing

For e.g You can rely on me; You can rely upon the fact

13) Answer: D

Biden is engaged in a grand relaunch of his

administration after a disaster-prone 11 months since

the election.

Although both these words present the starting time of

an action, they cannot be used interchangeably.

The doctor will be here from 10 am tomorrow – Correct

The doctor will be here since 10 am tomorrow –

Incorrect

The doctor has been waiting for you since 10 am –

Correct

The doctor has been waiting for you from 10 am –

Incorrect

14) Answer: B

As the public, governments and investors wake up to

climate change, the clean-energy industry is gaining

momentum.

Article “THE” before investors is redundant. Since we

already have “THE” before the “PUBLIC” usage of article

“THE” again before investors is unnecessary.

15) Answer: E

Sentence is correct as it is.





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As oil demand dwindles, they will face a vicious fight for

market share which will be won by the countries with the

cheapest and cleanest crude.

16) Answer: C

Renewable energy has been one sector that has been

resilient amid economic shock generated due to the

novel coronavirus disease (COVID-19) pandemic

Option C fits perfectly.

17) Answer: D

Many auctioned wind and solar photovoltaic (PV)

projects are expected to become operational following

delays due to COVID-19 and challenges in negotiating

contracts and acquiring land.

Auctioned - sell or offer for sale at an auction.

18) Answer: B

Many auctioned wind and solar photovoltaic (PV)

projects are expected to become operational following

delays due to COVID-19 and challenges in negotiating

contracts and acquiring land.

Operational fits correctly.

The underlined lines clearly tell that wind and solar

photovoltaic (PV) projects were not operated due to the

mentioned challenges. Now it is set to become

operational,

Hence profitable cannot fit the blank.

19) Answer: B

Key markets comprising the United States, India and

some European countries have permitted deadlines to

be extended for auctions and policies and robust pre-

COVID-19 project pipeline ensure continued

momentum.

Consists need “OF” The whole group consists of

students. Preposition after that

As verbs the difference between comprise and contain is

that comprise is to be made up of; to consist of

(especially a comprehensive list of parts) while contain is

(transitive): to hold inside.

Compromising is contextually incorrect.

20) Answer: A

The expiry of production tax credits in the US and capital

subsidies in China in the coming years may create

uncertainty over the pace of future development.

Only option A fits.

21) Answer: D

Option D is correct.

Testing of products under the RBI's regulatory sandbox,

which was delayed on account of COVID-19 pandemic,

has commenced, with two entities starting the 'test

phase' with their products.

Relative pronoun(WHICH) is required in the phrase.

Hence Options A and C are invalid.

Option D is correct.

22) Answer: B

Private sector lenders HDFC Bank and IndusInd Bank

have been put in the so-called ‘red flag’ list, a system

used for monitoring foreign portfolio investor (FPI) limits.

Put in is the correct phrasal verb.Put in -to call at or

enter a place especially





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Put off – To delay, Put on – To wear; Put out - extinguish

something that is burning.

23) Answer: E

Birdfin is set to revolutionise the space of learning

financial habits through gamification.

No replacement is required.

24) Answer: B

“The Jeevan Seva app launched by Delhi Government is

the first-ever initiative to help COVID patients to reach

healthcare facilities in EV cabs while taking care of the

patients and planet with its zero emission cabs.

The given sentence talks about two things.

1st thing is The app launched by by Delhi Government is

the first of its kind.

2nd thing is It takes care of the patients and planet with

its zero emission cabs.

In the sentence given these two single sentences are

combined into a single sentence. So conjunctions is

necessary. Hence plain verb phrase such as “taking

care of (option B), take care of (Bold phrase)” are

incorrect.

25) Answer: C

In the given sentence, only ‘declared’ makes it

grammatically as well as contextually correct.

Option A is incorrect as straitjacket means a strong

garment with long sleeves which can be tied together to

confine the arms of a violent prisoner or mental patient

which is contextually wrong.

Option B is incorrect as conquer means overcome and

take control of (a place or people) by military force which

does not make any sense here.

Option C is the correct alternative among the following

‘declared’ is both grammatically and contextually correct.

Option D is incorrect as boondocks means rough or

isolated country which does not fit here according to the

context.

26) Answer: D

In the given sentence, only ‘persona’ makes it


Option A): is incorrect because threshold means a strip

of wood or stone forming the bottom of a doorway and

crossed in entering a house or room which does not fit

here.

Option B): is incorrect as derision means contemptuous

ridicule or mockery which does not make any sense

here.

Option C): is incorrect as ‘lithe’ means (especially of a

person's body) thin, supple, and graceful which does not

fit here.

Option D): is the correct alternative among the following

as ‘persona’ means the aspect of someone's character

that is presented to or perceived by others which fits

here both grammatically and contextually.

27) Answer: A

In the given sentence, only ‘shed’ makes it






Dec 2020)

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Option A): is the correct alternative among the following

as ‘shed’ means a simple roofed structure used for

garden storage, to shelter animals, or as a workshop fits

here both grammatically and contextually.

Option B): is incorrect as hindsight means

understanding of a situation or event only after it has

happened or developed which does not make any sense

here.

Option C): is incorrect as brink means the extreme edge

of land before a steep slope or a body or water which

does not make any sense here.

Option D): is incorrect as deceitfulness means

misleading which does not fit here contextually

28) Answer: D

Reneissance is misspelled and should be rectified as

Renaissance meaning the revival of European art and

literature under the influence of classical models in the

14th–16th centuries. All other parts are correct.

Therefore, option D is the correct answer.

29) Answer: B

On route is incorrect as the correct word is in route

meaning on the way. This is the change requires to

match with the context. All other parts are correct.

Therefore, option B is the correct answer.

30) Answer: D

Microbio is misspelled and should be rectified as

microbiome meaning the combined genetic material of

the microorganisms in a particular environment. All other

parts are correct.

Therefore, option D is the correct answer.

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