Official Paper

IBPS Clerk Prelims Memory Based Paper (Held On: 31 August 2024 Shift 2) (Previous Year Paper)

100 questions · 60 minutes · with answers · free

Reasoning Ability (35 questions)

Direction: Read the following information carefully and answer the questions based on given information.

Seven persons A, B, C, D, E, F and G cooked a food on seven different days starting from Monday to Sunday but not necessarily in same order. G cooked a food three days after F. Only two persons cooked food between C and D. A cooked food before E. C cooked food on Wednesday. E and G cooked food on adjacent days. Not more than one person cooked food between G and B.

Who among the following person cooked food just before the one who cooked food on Friday?

((a))
A
((b))
F
((c))
C
((d))
E
((e))
G

Show Answer

Answer: ((a))

Find the odd one out.

((a))
A - Tuesday
((b))
E - Friday
((c))
G - Saturday
((d))
D - Sunday
((e))
B - Thursday

Show Answer

Answer: ((a))

A - Tuesday

Which of the following statement(s) is/are correct?

((a))
A cooked food just after F.
((b))
Only D cooked food after G.
((c))
E cooked food on Thursday.
((d))
Only two persons cooked food between B and D.
((e))
All of these

Show Answer

Answer: ((a))

A cooked food just after F.

As many persons cooked before A as many after whom?

((a))
E
((b))
C
((c))
G
((d))
D
((e))
B

Show Answer

Answer: ((a))

Which of the following statement(s) is/are incorrect?

A) D cooked food on Saturday.

B) C cooked food after A.

C) Only one person cooked food between G and B.

((a))
Both A and B
((b))
Both B and C
((c))
Both A and C
((d))
All of these
((e))
None of these

Show Answer

Answer: ((a))

Both A and B

Direction: Read the following information carefully and answer the questions based on given information.

In a certain code language:

‘Sun is a Star’ is coded as ‘am sk lp dv’

‘Star seen at night’ is coded as ‘re ux lp zb’

‘What a beautiful night’ is coded as ‘ft xr am zb’

‘Sun is very hot’ is coded as ‘dl wc dv sk’

What is the code for the word 'Star' in the given code language?

((a))
ux
((b))
lp
((c))
re
((d))
zb
((e))
am

Show Answer

Answer: ((a))

The code 'sk dv' is coded as which of the following words?

((a))
Sun is
((b))
Very hot
((c))
Sun hot
((d))
Very is
((e))
Sun star

Show Answer

Answer: ((a))

Sun is

What is the word used for the code 'zb' in the given code language?

((a))
Seen
((b))
At
((c))
Night
((d))
Either Night or seen
((e))
Either Night or at

Show Answer

Answer: ((a))

Seen

What is the possible code for the word 'a' in the given code language?

((a))
re
((b))
ux
((c))
am
((d))
sk
((e))
xr

Show Answer

Answer: ((a))

What is the code for the word 'very' in the given code language?

((a))
dl
((b))
wc
((c))
dv
((d))
sk
((e))
Cannot be determined

Show Answer

Answer: ((a))

Directions: In the question below are given three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read both the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

All Calculus are Integral.

All Differential are Calculus.

No Calculus are Vector.

Conclusions:

I. Some Integral are not Vector.

II. Some Integral can be Vector.

((a))
Either conclusion I or II follows
((b))
Both conclusions I and II follow
((c))
Only conclusion I follows
((d))
Only conclusion II follows
((e))
Neither conclusion I nor II follows

Show Answer

Answer: ((a))

Either conclusion I or II follows

Statements:

Some Bat are Stick.

All Racket are Bat.

Only Stick are Ball.

Conclusions:

I. Some Stick can be Racket.

II. No Racket can be Ball.

((a))
Both conclusions I and II follow
((b))
Only conclusion II follows
((c))
Neither conclusion I nor II follows
((d))
Either conclusion I or II follows
((e))
Only conclusion I follows

Show Answer

Answer: ((a))

Both conclusions I and II follow

Statements:

Some Class are Species.

Some Kingdom are Phylum.

All Species are Kingdom.

Conclusions:

I. Some Species are Phylum.

II. Some Class are Kingdom.

((a))
Only conclusion I follows
((b))
Either conclusion I or II follows
((c))
Only conclusion II follows
((d))
Neither conclusion I nor II follows
((e))
Both conclusions I and II follows

Show Answer

Answer: ((a))

Only conclusion I follows

Direction: Read the following information carefully and answer the questions based on given information.

Six persons H, J, K, L, N and O having different heights are standing in a line in decreasing order of their heights. O is taller than L and N. J is shorter than not more than two persons. L is not the shortest person. H is just taller than N. O is shorter than K. The height of third tallest person is 168cm. The height of O is more than 170 cm.

Who is the tallest person among all?

((a))
H
((b))
N
((c))
K
((d))
O
((e))
J

Show Answer

Answer: ((a))

If the height of H is 162 cm then what could be the possible height of L?

((a))
150 cm
((b))
160 cm
((c))
170 cm
((d))
165 cm
((e))
159 cm

Show Answer

Answer: ((a))

150 cm

Which of the following statement(s) is/are incorrect?

A) Only one person is taller than J.

B) Only H is shorter than L.

C) Only K is taller than O.

((a))
Only C
((b))
Both A and B
((c))
Both B and C
((d))
All of these
((e))
Both A and C

Show Answer

Answer: ((a))

Only C

How many pairs of letters are there in the word "UNDERWAY" which has as many letters between them as in the English alphabetical series(only in the forward direction)?

((a))
One
((b))
Three
((c))
More than three
((d))
Two
((e))
None

Show Answer

Answer: ((a))

One

Direction: Read the following information carefully and answer the questions based on given information.

Ten persons sit on two parallel rows such that five persons from F to J sit on row 1 and faces towards south direction and rest of the person from P to T sit on row 2 and faces towards north direction but not necessarily in same order. Each person on row 1 faces the person sits exactly opposite to him. H sits second to the right of I. R sits second to the left of the person who faces G. J faces S. Neither P nor T faces G. F sits immediate right to the person who faces T. I and G sit immediate next to each other. H does not face T. S does not sit to the left of P.

Who among the following sits immediate left to F?

((a))
H
((b))
I
((c))
G
((d))
J
((e))
None

Show Answer

Answer: ((a))

Who among the following person sits diagonally opposite to J?

((a))
P
((b))
Q
((c))
R
((d))
S
((e))
T

Show Answer

Answer: ((a))

In a certain H is related to T and I is related to S then who among the following is related to Q?

((a))
H
((b))
F
((c))
I
((d))
G
((e))
J

Show Answer

Answer: ((a))

Which of the following person sits third to the right of the person who faces H?

((a))
P
((b))
Q
((c))
R
((d))
S
((e))
T

Show Answer

Answer: ((a))

Which of the following statement(s) is/are correct?

A) H sits diagonally opposite to Q.

B) P sits second to the left of R.

C) No one sits to the left of S.

((a))
Both A and B
((b))
Both B and C
((c))
Both A and C
((d))
None of these
((e))
All of these

Show Answer

Answer: ((a))

Both A and B

Directions: Study the following information carefully to answer the given questions:

A K P @ E 1 Q R # 2 S ! U I V & 4 M C T 5 I 3 B

Which of the following is the fifth to the left of the element which is tenth from the left end?

((a))
2
((b))
I
((c))
R
((d))
E
((e))
V

Show Answer

Answer: ((a))

If all the vowels and symbols are dropped out from the above arrangement, which of the following will be eight element from the right side?

((a))
M
((b))
4
((c))
V
((d))
C
((e))
2

Show Answer

Answer: ((a))

How many letters are present between the third letter from the left end and sixth letter from the right end of the above arrangement as per alphabetical series?

((a))
Four
((b))
Three
((c))
More than four
((d))
Two
((e))
One

Show Answer

Answer: ((a))

Four

How many symbols are there which are immediately followed by the number and immediately preceded by the letter?

((a))
One
((b))
Three
((c))
None
((d))
Two
((e))
More than three

Show Answer

Answer: ((a))

One

Direction: Read the following information carefully and answer the questions based on given information.

Eight persons A, B,C,D, E, F, G, and H join an IT company in four different months January, May, June and November on two different dates which are 9 and 24 but not necessarily in same order. Only three persons join a company between B and A. C joins a company exactly after five months of H. G joins before F on the same date. E joins on an odd number date and the month which has prime number of days. H and B join a company in the same month. C and G join a company immediate next to each other.

How many persons join a company after C?

((a))
Four
((b))
Three
((c))
Two
((d))
One
((e))
None

Show Answer

Answer: ((a))

Four

As many persons join before F as many after whom?

((a))
A
((b))
D
((c))
H
((d))
B
((e))
E

Show Answer

Answer: ((a))

Which of the following statement(s) is/are incorrect?

((a))
B joins a company just after H.
((b))
A and C join a company in the same month.
((c))
D joins a company just before F.
((d))
E joins a company in May.
((e))
None of these.

Show Answer

Answer: ((a))

B joins a company just after H.

In a certain way four of the five are alike find the one which does not follow the same way?

((a))
H
((b))
E
((c))
F
((d))
B
((e))
G

Show Answer

Answer: ((a))

Which of the following statement(s) is/are correct?

A) A joins a company in November.

B) C joins the company just before G.

C) B joins a company only after one person.

((a))
Both A and B
((b))
Both A and C
((c))
All of these
((d))
None of these
((e))
Only C

Show Answer

Answer: ((a))

Both A and B

Direction: Read the following information carefully and answer the questions based on given information.

In a family of seven members, there are two married couples. L is the sister – in – law of K. F is the only grandchild of S. V is the unmarried niece of L. K is not the mother of P. N is the daughter – in – law of K. P has only one son.

How is K related to P?

((a))
Father
((b))
Son
((c))
Sister
((d))
Sister - in -law
((e))
Daughter

Show Answer

Answer: ((a))

Father

How is S related to L?

((a))
Daughter
((b))
Mother
((c))
Brother
((d))
Sister
((e))
Cannot be determined

Show Answer

Answer: ((a))

Daughter

Which of the following statement(s) is/are correct?

((a))
S is the grandfather of F.
((b))
P is the daughter of L.
((c))
F is the daughter of K.
((d))
P is the father of F.
((e))
All of these

Show Answer

Answer: ((a))

S is the grandfather of F.

In the given word "JACKFRUIT" all the letters are arranged according to alphabetical series from left to right within the word then which of the following letter will come at fourth position from left end?

((a))
F
((b))
J
((c))
I
((d))
K
((e))
R

Show Answer

Answer: ((a))

English Language (30 questions)

In the sentence given below, one/more parts have errors and others are correct. Find out which part has an error and mark it as your answer. If there is no error, mark 'No error' as your answer.

The United Bank will created a(A)/ disaster risk pooling those(B)/ covers the Indian Islands, which are(C)/ very prone to climate-related hazards. (D)

((a))
Only A
((b))
A and B
((c))
Only B
((d))
B and C
((e))
No error

Show Answer

Answer: ((a))

Only A

In the sentence given below, one/more parts have errors and others are correct. Find out which part has an error and mark it as your answer. If there is no error, mark 'No error' as your answer.

The moment has come for the unemployed (A) / in USA to understand the damage (B) / which is caused as a result of (C) / a vast gap between perception and reality. (D)

((a))
Only B
((b))
Only A
((c))
B and D
((d))
B and C
((e))
No error

Show Answer

Answer: ((a))

Only B

In this question, a sentence has been divided into four parts (A), (B), (C) and (D). Read the sentence to find out whether there is any grammatical error in it. The error if any, will be in one part of the sentence. Mark that part as your answer. If there is no error, the answer is ‘No error’. Ignore the error of punctuation if any.

From the foyer, (A) they entered in a huge room (B) with a wide staircase that curved (C) gracefully from the balcony on the second floor. (D)

((a))
(A)
((b))
(B)
((c))
(C)
((d))
(D)
((e))
No error

Show Answer

Answer: ((a))

(A)

He was so frightened (A) that the hairs (B) on his head stood up (C) making a funny sight. (D)

((a))
(A)
((b))
(B)
((c))
(C)
((d))
(D)
((e))
No error

Show Answer

Answer: ((a))

(A)

The Thar Desert, (A) also known as Great Indian Desert, (B) is a large, arid region (C) in the northwestern part of the Indian subcontinent**.** (D)

((a))
(A)
((b))
(B)
((c))
(C)
((d))
(D)
((e))
No error

Show Answer

Answer: ((a))

(A)

Direction: In the following question, two columns are given containing three phrases each. The phrases are labelled A, B, and C in the first column and P, Q, and R in the second column. A phrase from the first column may or may not connect with a phrase in the second column to make a grammatically and contextually meaningful sentence. Identify the correct option from those given below that gives the correct sequence in which one or more sentences can be formed. If none of the options makes it possible for a meaningful sentence to be formed, indicate 'None of these' as your answer.

Column 1	Column 2
(A) Police are on the lookout	(P) people in the queue.
(B) Some tortoises can live	(Q) for a notorious criminal.
(C) There were only a few	(R) for a hundred years.

((a))
B-P
((b))
B-R
((c))
A-R and C-Q
((d))
A-P
((e))
None of these

Show Answer

Answer: ((a))

B-P

Column 1	Column 2
(A) I once met a person	(P) went to sleep right away.
(B) Jupiter is the largest	(Q) who was from Mauritius.
(C) He was so tired that he	(R) planet in the Solar system.

((a))
C-Q
((b))
B-Q and C-P
((c))
A-P
((d))
B-R
((e))
None of these

Show Answer

Answer: ((a))

C-Q

Fill in the blanks with the appropriate words:

The logistics division, under the Commerce Ministry, has started an exercise to (1) a national packaging initiative, which will be part of the proposed logistics policy. The ministry said that a stakeholder consultation was (2) to define the scope and the national packaging initiative as part of the national logistics policy that is currently being finalized. According to the Special Secretary (Logistics), packaging deserves greater (3) from improving the overall logistical efficiency perspective. It added that e-commerce companies such as Amazon and Flipkart were (4) to invest in sustainable packaging as they are one of the biggest users of packaging material. It was also (5) out that dangerous and chemical verticals would also need special attention from the packaging perspective.

Select the most appropriate option to fill in blank no 1.

((a))
motivate
((b))
built
((c))
promise
((d))
instruct
((e))
formulate

Show Answer

Answer: ((a))

motivate

Select the most appropriate option to fill in blank no 2.

((a))
lifted
((b))
reached
((c))
organised
((d))
researched
((e))
verified

Show Answer

Answer: ((a))

lifted

Select the most appropriate option to fill in blank no 3.

((a))
result
((b))
attention
((c))
decorate
((d))
rectification
((e))
imbalance

Show Answer

Answer: ((a))

result

Select the most appropriate option to fill in blank no 4.

((a))
mentioned
((b))
prepared
((c))
urged
((d))
informed
((e))
interpret

Show Answer

Answer: ((a))

mentioned

Select the most appropriate option to fill in blank no 5.

((a))
guided
((b))
placed
((c))
shouted
((d))
pointed
((e))
looked

Show Answer

Answer: ((a))

guided

In the following question, a sentence is given with four words marked as (A), (B), (C) and (D). These words may or may not be placed in their correct order. Four options with different arrangements of these words have been provided. Mark the option with the correct arrangement as the answer. If no rearrangement is required, mark option (5) as your answer.

I’m having (A) some trouble working (B) out the equation (C) to this solution (D).

((a))
A-B
((b))
A-D
((c))
C-D
((d))
B-D
((e))
No rearrangement

Show Answer

Answer: ((a))

A-B

She had the impression (A) of extreme intelligence and combination (B) determination, a extreme (C) that awed and intimidated (D) her.

((a))
A-B
((b))
B-C
((c))
C-D
((d))
A-D
((e))
No rearrangement

Show Answer

Answer: ((a))

A-B

The opera-house is a magnificent finest (A) in the style (B) of the Italian Renaissance and ranks (C) among the edifice (D) theatres in Europe.

((a))
A-D
((b))
B-C
((c))
A-C
((d))
D-C
((e))
No rearrangement

Show Answer

Answer: ((a))

A-D

This incident, (A) however, spirits (B) a very unfavourable (C) effect on his produced (D).

((a))
C-D
((b))
C-B
((c))
A-D
((d))
B-D
((e))
No rearrangement

Show Answer

Answer: ((a))

C-D

The question below contains five scattered segments of a sentence. Indicate the sequence which correctly assembles the segments and completes the sentence.

A. education and skills training

B. many of the projects

C. pursue empowerment through

D. keeping in mind

E. potential barriers

((a))
CEDBA
((b))
DABCE
((c))
BCADE
((d))
DECBA
((e))
EABCD

Show Answer

Answer: ((a))

CEDBA

The question below contains five scattered segments of a sentence. Indicate the sequence which correctly assembles the segments and completes the sentence.

A. in which everyone

B. the applicants from

C. has access to

D. India envision a future

E. education, information, and dignified living

((a))
DEBCA
((b))
ABCDE
((c))
EDCBA
((d))
BDECA
((e))
BDACE

Show Answer

Answer: ((a))

DEBCA

The question below contains five scattered segments of a sentence. Indicate the sequence which correctly assembles the segments and completes the sentence.

A. face the infection, as they

B. home isolation has instilled

C. are now more aware of

D. confidence in people to

E. the virus and ways to face it

((a))
ACDBE
((b))
EDBAC
((c))
BDACE
((d))
ABCDE
((e))
BACDE

Show Answer

Answer: ((a))

ACDBE

The question below contains five scattered segments of a sentence. Indicate the sequence which correctly assembles the segments and completes the sentence.

A. services are critical

B. water, sanitation, and hygiene

C. in protecting us

D. during infectious

E. disease outbreaks

((a))
BACDE
((b))
ABCDE
((c))
CDEBA
((d))
BADEC
((e))
DECBA

Show Answer

Answer: ((a))

BACDE

Directions: Read the given passage carefully to answer the following questions. Each question will have five alternatives as its answer. Choose the correct option as your answer.

Ravi, a 45-year-old school teacher from the quaint town of Madurai, had always led a disciplined life. He woke up at 5 a.m. every day, enjoyed his morning walk around the serene temple pond, and relished the simplicity of his routine. However, over the past few months, Ravi had started feeling increasingly fatigued and noticed that he was losing weight despite eating the same amount of food. Concerned, he went to consult Dr. Nair, a reputed physician in the area. After a series of tests, Dr. Nair diagnosed Ravi with Type 2 diabetes. This came as a shock to Ravi, as he had no family history of the condition, and had always assumed that diabetes was something that only happened to others. Dr. Nair explained that diabetes was becoming increasingly common in India, and lifestyle choices played a significant role.

"Monitoring your dietary intake and maintaining an active lifestyle are crucial," Dr. Nair said. "Cut down on sugary foods and choose more fiber-rich options. It's also important to be mindful of your carbohydrate intake," she advised him. Ravi was given a glucometer to monitor his blood sugar levels at home. Dr. Nair showed him how to use this handy device and stressed the importance of regular check-ups. "Remember, Ravi," she said, "Managing diabetes is all about making the right choices day by day. You must be diligent, but with discipline, you can lead a healthy life." Determined to manage his condition, Ravi began attending yoga classes, switched to whole grains, and included more vegetables in his diet. He also reduced his intake of sweets and fried foods, which had always been his weakness. Ravi's wife, Lakshmi, supported him by preparing balanced meals and joining him for evening walks. Over time, Ravi began to feel better. His energy levels improved, and he ________ joy in his new routine. Living with diabetes required constant vigilance, but Ravi knew that with each healthy choice he made, he was taking a step toward a better future.

According to the passage, what was Ravi's profession?

((a))
Doctor
((b))
School teacher
((c))
Engineer
((d))
Yoga instructor
((e))
Scientist

Show Answer

Answer: ((a))

Doctor

Which of the following did Dr. Nair advise Ravi to be mindful of?

((a))
His fat intake
((b))
His protein intake
((c))
His carbohydrate intake
((d))
His water intake
((e))
His vitamin intake

Show Answer

Answer: ((a))

His fat intake

What tool was Ravi given to monitor his condition at home?

((a))
A thermometer
((b))
A blood pressure monitor
((c))
A pedometer
((d))
A glucometer
((e))
A calorie counter

Show Answer

Answer: ((a))

A thermometer

Which of the following lifestyle changes did Ravi make after his diagnosis?

((a))
He started attending gym classes
((b))
He joined evening yoga classes
((c))
He began attending zumba classes
((d))
He reduced his water intake
((e))
He started a low-protein diet

Show Answer

Answer: ((a))

He started attending gym classes

According to the passage, which of the given statements is correct?

A) Ravi had a family history of diabetes.

B) Ravi received support from his wife, Lakshmi.

C) Ravi's weight increased during the last few months.

((a))
Only A
((b))
Only B
((c))
Only C
((d))
A and B
((e))
B and C

Show Answer

Answer: ((a))

Only A

According to the passage, which of the given statements is incorrect?

A) Ravi enjoyed his morning walks around the serene temple pond.

B) Dr. Nair suggested Ravi monitor his vitamin intake.

C) Diabetes is becoming increasingly common in India.

((a))
Only A
((b))
Only B
((c))
Only C
((d))
A and C
((e))
B and C

Show Answer

Answer: ((a))

Only A

What will fit in the blank taken from the passage: "His energy levels improved, and he ________ joy in his new routine."

((a))
avoided
((b))
ignored
((c))
celebrated
((d))
resisted
((e))
found

Show Answer

Answer: ((a))

avoided

Which of the following words is similar in meaning to "handy" in the context of the passage?

((a))
Useful
((b))
Cumbersome
((c))
Broken
((d))
Expensive
((e))
Rare

Show Answer

Answer: ((a))

Useful

Which of the following words is similar in meaning to "choose" in the context of the passage?

((a))
Decide
((b))
Hesitate
((c))
Ignore
((d))
Reject
((e))
Complicate

Show Answer

Answer: ((a))

Decide

Which of the following words is opposite in meaning to "intake" in the context of the passage?

((a))
Consumption
((b))
Output
((c))
Addition
((d))
Ingestion
((e))
Absorption

Show Answer

Answer: ((a))

Consumption

Numerical Ability (35 questions)

Directions: Study the following information carefully and answer the questions.

The table below provides a day-wise record of the number of male and female visitors to a shopping mall over five days, from Monday to Friday.

Day	No. of Male Visitors	No. of Female Visitors
Monday	650	520
Tuesday	580	710
Wednesday	740	690
Thursday	620	770
Friday	810	950

On which day did the total number of visitors exceed 1500 for the first time?

((a))
Wednesday
((b))
Friday
((c))
Monday
((d))
Tuesday
((e))
Thursday

Show Answer

Answer: ((a))

Wednesday

What is the difference between the total number of female visitors and the total number of male visitors for the entire week?

((a))
180
((b))
190
((c))
260
((d))
250
((e))
240

Show Answer

Answer: ((a))

180

The total number of visitors on Thursday is what percentage of the total number of visitors on Wednesday?

((a))
94.10%
((b))
92.80%
((c))
97.20%
((d))
95.20%
((e))
None of these

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Answer: ((a))

94.10%

If the number of male visitors on Saturday is 10% more than on Friday, and the number of female visitors on Saturday is 20% more than on Friday, what is the total number of visitors on Saturday?

((a))
1897
((b))
2031
((c))
2604
((d))
2575
((e))
None of these

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Answer: ((a))

1897

What is the ratio of the number of male visitors on Monday & Tuesday to the number of female visitors on Thursday and Friday?

((a))
138:121
((b))
123:172
((c))
144:117
((d))
111:179
((e))
None of these

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Answer: ((a))

138:121

A train crosses a 655 metres long platform in 55 seconds and the same train crosses a 455 metres long platform in 45 seconds. What is the length of the train?

((a))
654 m
((b))
445 m
((c))
545 m
((d))
345 m
((e))
None of these

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Answer: ((a))

654 m

Q takes twice time as P to complete a work and R takes thrice time as Q to complete a work. If Rs.12000 is given to them to complete a work together then find how much amount Q gets.

((a))
Rs. 3600
((b))
Rs. 7200
((c))
Rs. 1800
((d))
Rs. 3000
((e))
Rs. 2400

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Answer: ((a))

Rs. 3600

What will come in the place of the question mark '?' in the following question?

404 ÷ 4 × 5 + 30 – 135 = ?

((a))
405
((b))
410
((c))
400
((d))
480
((e))
470

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Answer: ((a))

405

What value should come in place of questions (?) in the following equations?

4200 – 35 × 2242 ÷ 59 = ? × 14

((a))
202
((b))
205
((c))
208
((d))
210
((e))
None of these

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Answer: ((a))

202

What value should come in place of questions (?) in the following equations?

88% of 1850 + 35% of 2400 = ? + 758

((a))
1710
((b))
1850
((c))
1620
((d))
1580
((e))
None of these

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Answer: ((a))

1710