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Reasoning PYQs

Verbal and non-verbal reasoning, analogies, syllogisms, number series, coding-decoding, blood relations, and analytical puzzles.

945 Total Questions27 Official PapersYears: 2018–2025Search in Reasoning
Showing questions 701–720 of 945Page 36 of 48
SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 701

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: Read the given information carefully and answer the questions asked below.

Eight people P, Q, R, S, T, U, V and W are sitting around a square table in such a way that four of them sit at four corners of the square while four sit in the middle of each of the four sides. People who are sitting at the corner are facing outside the center while people sitting in the middle are facing the center. R sits second to the right of V. Only one person sits between R and W. P is not an immediate neighbor of W and does not sit at corner. Q faces S who sits immediately to the left of U.

What is the position of U with respect to T?

  1. AOption (a)

    Third to the left

  2. BOption (b)

    Third to the right

  3. COption (c)

    Immediate to the left

  4. DOption (d)

    Immediate to the right

  5. EOption (e)

    Fourth to the right

View answer & explanation

Correct answer

Answer: (a)A.

Third to the left

Why this answer is correct

  1. R sits second to the right of V.

  2. Only one person sits between R and W.

3)  P is not an immediate neighbor of W and does not sit at corner. 

4)Q faces S who sits immediately to the left of U. (This eliminates case 2) 

Hence, U sits third to the left of T.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 702

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: Read the given information carefully and answer the questions asked below.

Eight people P, Q, R, S, T, U, V and W are sitting around a square table in such a way that four of them sit at four corners of the square while four sit in the middle of each of the four sides. People who are sitting at the corner are facing outside the center while people sitting in the middle are facing the center. R sits second to the right of V. Only one person sits between R and W. P is not an immediate neighbor of W and does not sit at corner. Q faces S who sits immediately to the left of U.

How many people sit between R and S, when counted in a clockwise direction from S?

  1. AOption (a)

    None

  2. BOption (b)

    One

  3. COption (c)

    Two

  4. DOption (d)

    Three

  5. EOption (e)

    More than three

View answer & explanation

Correct answer

Answer: (e)E.

More than three

Why this answer is correct

  1. R sits second to the right of V.

  2. Only one person sits between R and W.

3) P is not an immediate neighbor of W and does not sit at corner. 

4) Q faces S who sits immediately to the left of U. (This eliminates case 2)

Hence, four people sit between R and S, when counted in a clockwise direction from S.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 703

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: Read the given information carefully and answer the questions asked below.

Eight people P, Q, R, S, T, U, V and W are sitting around a square table in such a way that four of them sit at four corners of the square while four sit in the middle of each of the four sides. People who are sitting at the corner are facing outside the center while people sitting in the middle are facing the center. R sits second to the right of V. Only one person sits between R and W. P is not an immediate neighbor of W and does not sit at corner. Q faces S who sits immediately to the left of U.

What is true regarding P?

  1. AOption (a)

    P sits immediate right of U.

  2. BOption (b)

    P Second to the right of Q

  3. COption (c)

    P is an immediate neighbor of R

  4. DOption (d)

    Both 1) and 2)

  5. EOption (e)

    Both 1) and 3) 

View answer & explanation

Correct answer

Answer: (d)D.

Both 1) and 2)

Why this answer is correct

  1. R sits second to the right of V.

  2. Only one person sits between R and W.

  3. P is not an immediate neighbor of W and does not sit at corner.

  4. Q faces S who sits immediately to the left of U. (This eliminates case 2)

 

Hence, both 1) and 2) are true.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 704

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: Read the given information carefully and answer the questions asked below.

Eight people P, Q, R, S, T, U, V and W are sitting around a square table in such a way that four of them sit at four corners of the square while four sit in the middle of each of the four sides. People who are sitting at the corner are facing outside the center while people sitting in the middle are facing the center. R sits second to the right of V. Only one person sits between R and W. P is not an immediate neighbor of W and does not sit at corner. Q faces S who sits immediately to the left of U.

Who sits second to the left of the person who sits immediate right of S?

  1. AOption (a)

    U

  2. BOption (b)

    R

  3. COption (c)

    V

  4. DOption (d)

    T

  5. EOption (e)

    W

View answer & explanation

Correct answer

Answer: (b)B.

R

Why this answer is correct

  1. R sits second to the right of V.

  2. Only one person sits between R and W.

  3. P is not an immediate neighbor of W and does not sit at corner.

  4. Q faces S who sits immediately to the left of U. (This eliminates case 2)

 

Person who sits immediately to the right of S is W, R sits second to the left of W.

Hence, R sits second to the left of the person who sits immediate right of S.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 705

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: Read the given information carefully and answer the questions asked below.

Eight people P, Q, R, S, T, U, V and W are sitting around a square table in such a way that four of them sit at four corners of the square while four sit in the middle of each of the four sides. People who are sitting at the corner are facing outside the center while people sitting in the middle are facing the center. R sits second to the right of V. Only one person sits between R and W. P is not an immediate neighbor of W and does not sit at corner. Q faces S who sits immediately to the left of U.

Four among the five are the same in some way and thus form a group, which of the following does not belong to that group?

  1. AOption (a)

    R

  2. BOption (b)

    U

  3. COption (c)

    V

  4. DOption (d)

    W

  5. EOption (e)

    Q

View answer & explanation

Correct answer

Answer: (e)E.

Q

Why this answer is correct

  1. R sits second to the right of V.

  2. Only one person sits between R and W.

  3. P is not an immediate neighbor of W and does not sit at corner.

  4. Q faces S who sits immediately to the left of U. (This eliminates case 2)

 

All are sitting at the corner of the table except Q.

Hence, Q does not belong to that group.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 706

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: Study the following information and answer the questions given below.

In a certain code language,

“focus on economic development” is written as “vl no py su”

“greater growth more development” is written as “wr ea vl om”

“more focus is important” is written as “su ta nx ea”

“economic growth is important” is written as “ta py om nx”

What is the code for 'economic'

  1. AOption (a)

    no

  2. BOption (b)

    py

  3. COption (c)

    nx

  4. DOption (d)

    ta

  5. EOption (e)

    su

View answer & explanation

Correct answer

Answer: (b)B.

py

Why this answer is correct

Hence, code for 'economic' is 'py'.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 707

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: Study the following information and answer the questions given below.

In a certain code language,

“focus on economic development” is written as “vl no py su”

“greater growth more development” is written as “wr ea vl om”

“more focus is important” is written as “su ta nx ea”

“economic growth is important” is written as “ta py om nx”

'su' is the code for which of the following?

  1. AOption (a)

    more

  2. BOption (b)

    development

  3. COption (c)

    focus

  4. DOption (d)

    on

  5. EOption (e)

    important

View answer & explanation

Correct answer

Answer: (c)C.

focus

Why this answer is correct

Hence, 'su' is the code for focus.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 708

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: Study the following information and answer the questions given below.

In a certain code language,

“focus on economic development” is written as “vl no py su”

“greater growth more development” is written as “wr ea vl om”

“more focus is important” is written as “su ta nx ea”

“economic growth is important” is written as “ta py om nx”

What is the code for "growth is important"?

  1. AOption (a)

    om ta py

  2. BOption (b)

    om ta nx

  3. COption (c)

    wr ta nx

  4. DOption (d)

    ea nx py

  5. EOption (e)

    Cannot be determined

View answer & explanation

Correct answer

Answer: (b)B.

om ta nx

Why this answer is correct

Code for growth is 'om'.

Code for 'is important' is 'ta nx'

Hence, code for 'growth is important' is 'om ta nx'.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 709

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: Study the following information and answer the questions given below.

In a certain code language,

“focus on economic development” is written as “vl no py su”

“greater growth more development” is written as “wr ea vl om”

“more focus is important” is written as “su ta nx ea”

“economic growth is important” is written as “ta py om nx”

What is the code for 'important'?

  1. AOption (a)

    ta

  2. BOption (b)

    py

  3. COption (c)

    nx

  4. DOption (d)

    om

  5. EOption (e)

    Cannot be determined

View answer & explanation

Correct answer

Answer: (e)E.

Cannot be determined

Why this answer is correct

Code for 'important' is either 'ta' or 'nx'.

Hence, answer is cannot be determined.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 710

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: Study the following information and answer the questions given below.

In a certain code language,

“focus on economic development” is written as “vl no py su”

“greater growth more development” is written as “wr ea vl om”

“more focus is important” is written as “su ta nx ea”

“economic growth is important” is written as “ta py om nx”

What is the code for 'greater'?

  1. AOption (a)

    wr

  2. BOption (b)

    ea

  3. COption (c)

    vl

  4. DOption (d)

    om

  5. EOption (e)

    no

View answer & explanation

Correct answer

Answer: (a)A.

wr

Why this answer is correct

Hence, 'wr' is the code for greater.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 711

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

If the digits are arranged in descending order within the given numbers which of the following number will be the highest?

793, 689, 957, 495, 879

  1. AOption (a)

    793

  2. BOption (b)

    689

  3. COption (c)

    957

  4. DOption (d)

    495

  5. EOption (e)

    879

View answer & explanation

Correct answer

Answer: (e)E.

879

Why this answer is correct

Digits are arranged in descending order within the number:

793 → 973

689 → 986

957 → 975

495 → 954

879 → 987

Hence, "879" is the correct answer.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 712

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: Study the given information carefully and answer the questions.

Seven persons, A, B, C, D, E, F and G go to movies on different days of the week starting from Monday to Sunday but not necessarily in the same order. One person goes between G and C, A goes on one of the days before C. G goes on Friday. D goes on the second day of the week. Three persons go-between D and F. B does not go on Monday or Thursday. The number of persons who goes after C is equal to the number of persons goes before G.

A goes for movie on which of the following days?

  1. AOption (a)

    Monday

  2. BOption (b)

    Tuesday 

  3. COption (c)

    Wednesday

  4. DOption (d)

    Thursday

  5. EOption (e)

    Sunday

View answer & explanation

Correct answer

Answer: (a)A.

Monday

Why this answer is correct

1) G goes on Friday.

2) One person goes between G and C.

DaysCase 1Case 2
Monday
Tuesday
WednesdayC
Thursday
FridayGG
Saturday
SundayC

3) D goes on the second day of the week.

4) Three persons go between D and F.

DaysCase 1Case 2
Monday
TuesdayDD
WednesdayC
Thursday
FridayGG
SaturdayFF
SundayC

5) The number of persons goes after C is equal to the number of persons go before G. 

Here, case 2 will be cancelled.

  1. A goes on one of the days before C.

7) B does not go on Monday or Thursday.

DaysPerson
MondayA
TuesdayD
WednesdayC
ThursdayE
FridayG
SaturdayF
SundayB

Hence, A goes on Monday.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 713

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: Study the given information carefully and answer the questions.

Seven persons, A, B, C, D, E, F and G go to movies on different days of the week starting from Monday to Sunday but not necessarily in the same order. One person goes between G and C, A goes on one of the days before C. G goes on Friday. D goes on the second day of the week. Three persons go-between D and F. B does not go on Monday or Thursday. The number of persons who goes after C is equal to the number of persons goes before G.

How many person/ persons go for movie after E?

  1. AOption (a)

    No One

  2. BOption (b)

    One

  3. COption (c)

    Two

  4. DOption (d)

    Three

  5. EOption (e)

    Four

View answer & explanation

Correct answer

Answer: (d)D.

Three

Why this answer is correct

1) G goes on Friday.

2) One person goes between G and C.

DaysCase 1Case 2
Monday
Tuesday
WednesdayC
Thursday
FridayGG
Saturday
SundayC

3) D goes on the second day of the week.

4) Three persons go between D and F.

DaysCase 1Case 2
Monday
TuesdayDD
WednesdayC
Thursday
FridayGG
SaturdayFF
SundayC

5) The number of persons goes after C is equal to the number of persons go before G. 

Here, case 2 will be cancelled.

  1. A goes on one of the days before C.

7) B does not go on Monday or Thursday.

DaysPerson
MondayA
TuesdayD
WednesdayC
ThursdayE
FridayG
SaturdayF
SundayB

Hence, three persons go for movie after E.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 714

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: Study the given information carefully and answer the questions.

Seven persons, A, B, C, D, E, F and G go to movies on different days of the week starting from Monday to Sunday but not necessarily in the same order. One person goes between G and C, A goes on one of the days before C. G goes on Friday. D goes on the second day of the week. Three persons go-between D and F. B does not go on Monday or Thursday. The number of persons who goes after C is equal to the number of persons goes before G.

The number of persons go for movie before C is same as the number of persons who go for movie after _____?

  1. AOption (a)

    B

  2. BOption (b)

    E

  3. COption (c)

    F

  4. DOption (d)

    G

  5. EOption (e)

    D

View answer & explanation

Correct answer

Answer: (d)D.

G

Why this answer is correct

1) G goes on Friday.

2) One person goes between G and C.

DaysCase 1Case 2
Monday
Tuesday
WednesdayC
Thursday
FridayGG
Saturday
SundayC

3) D goes on the second day of the week.

4) Three persons go between D and F.

DaysCase 1Case 2
Monday
TuesdayDD
WednesdayC
Thursday
FridayGG
SaturdayFF
SundayC

5) The number of persons goes after C is equal to the number of persons go before G. 

Here, case 2 will be cancelled.

  1. A goes on one of the days before C.

7) B does not go on Monday or Thursday.

DaysPerson
MondayA
TuesdayD
WednesdayC
ThursdayE
FridayG
SaturdayF
SundayB

Hence, the number of persons go for movie before C is the same as the number of persons who go for movie after G.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 715

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: Study the given information carefully and answer the questions.

Seven persons, A, B, C, D, E, F and G go to movies on different days of the week starting from Monday to Sunday but not necessarily in the same order. One person goes between G and C, A goes on one of the days before C. G goes on Friday. D goes on the second day of the week. Three persons go-between D and F. B does not go on Monday or Thursday. The number of persons who goes after C is equal to the number of persons goes before G.

Who among the following goes for movie on Saturday? 

  1. AOption (a)

    A

  2. BOption (b)

    F

  3. COption (c)

    E

  4. DOption (d)

    G

  5. EOption (e)

    D

View answer & explanation

Correct answer

Answer: (b)B.

F

Why this answer is correct

1) G goes on Friday.

2) One person goes between G and C.

DaysCase 1Case 2
Monday
Tuesday
WednesdayC
Thursday
FridayGG
Saturday
SundayC

3) D goes on the second day of the week.

4) Three persons go between D and F.

DaysCase 1Case 2
Monday
TuesdayDD
WednesdayC
Thursday
FridayGG
SaturdayFF
SundayC

5) The number of persons goes after C is equal to the number of persons go before G. 

Here, case 2 will be cancelled.

  1. A goes on one of the days before C.

7) B does not go on Monday or Thursday.

DaysPerson
MondayA
TuesdayD
WednesdayC
ThursdayE
FridayG
SaturdayF
SundayB

Hence, F goes on Saturday.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 716

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: Study the given information carefully and answer the questions.

Seven persons, A, B, C, D, E, F and G go to movies on different days of the week starting from Monday to Sunday but not necessarily in the same order. One person goes between G and C, A goes on one of the days before C. G goes on Friday. D goes on the second day of the week. Three persons go-between D and F. B does not go on Monday or Thursday. The number of persons who goes after C is equal to the number of persons goes before G.

Who among the following goes for movie just before E? 

  1. AOption (a)

    F

  2. BOption (b)

    D

  3. COption (c)

    C

  4. DOption (d)

    A

  5. EOption (e)

    G

View answer & explanation

Correct answer

Answer: (c)C.

C

Why this answer is correct

1) G goes on Friday.

2) One person goes between G and C.

DaysCase 1Case 2
Monday
Tuesday
WednesdayC
Thursday
FridayGG
Saturday
SundayC

3) D goes on the second day of the week.

4) Three persons go between D and F.

DaysCase 1Case 2
Monday
TuesdayDD
WednesdayC
Thursday
FridayGG
SaturdayFF
SundayC

5) The number of persons goes after C is equal to the number of persons go before G. 

Here, case 2 will be cancelled.

  1. A goes on one of the days before C.

7) B does not go on Monday or Thursday.

DaysPerson
MondayA
TuesdayD
WednesdayC
ThursdayE
FridayG
SaturdayF
SundayB

Hence, "C" goes for the movie just before E.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 717

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

What will be the difference between the sum of all the even digits and the sum of all the odd digits of the given number ‘81247563’  

  1. AOption (a)

    1

  2. BOption (b)

    2

  3. COption (c)

    3

  4. DOption (d)

    4

  5. EOption (e)

    5

View answer & explanation

Correct answer

Answer: (d)D.

4

Why this answer is correct

Given number: 81247563

Sum of all even digit: 8 + 2 + 4 + 6 = 20

Sum of all odd digit: 1 + 7 + 5 + 3 = 16

Difference between the sum of all even and sum of all odd digit = 20 - 16 = 4

Hence, "4" will be the difference between the sum of all the even digits and the sum of all the odd digits of the given number ‘81247563’.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 718

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: In the question below are given two 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 with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements

Only a few animal are cat

Some animal are dog

Conclusions

I. All Cat are animal

II. Some cat are Dog

  1. AOption (a)

    Only II follow

  2. BOption (b)

    Both I and II follow

  3. COption (c)

    Either I or II follow

  4. DOption (d)

    Only I follow

  5. EOption (e)

    Neither I nor II follow

View answer & explanation

Correct answer

Answer: (e)E.

Neither I nor II follow

Why this answer is correct

Statements

Only a few animal are cat → Some part of Animal are overlapping with Cat and some part of animal are not cat

Some animal are dog → Some part of animal are overlapping with dog 

Venn diagram for the given statements are follows.

Conclusions

I. All Cat are animal → False ( some part of animal are not cat but remaining part of the animal can be cat so, this possible statement not definite hence false)

II. Some cat are Dog → False( some dog are cat or not is definite it can be a possible case but not definite)

Hence Neither I nor II follow is the correct answer.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 719

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: In the question below are given two 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 with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statement:

Only a few Sea are River

All River are Water bodies

Conclusion:

I. Some Sea are Water bodies

II. All sea are River

  1. AOption (a)

    Both I and II follows

  2. BOption (b)

    Neither I and II follows

  3. COption (c)

    Either I or II follows

  4. DOption (d)

    Only I follow

  5. EOption (e)

    Only II follows

View answer & explanation

Correct answer

Answer: (d)D.

Only I follow

Why this answer is correct

Statement:

Only a few Sea are River → Some parts of Sea are River and Some parts of sea are not River.

All River are Water bodies → All river will be part of Waterbodies

The least possible venn diagram will be.

Conclusion:

I. Some Sea are Water bodies → True ( Some parts of Sea are River and All River are water bodies hence some sea are water bodies)

II. All sea are River → False ( Some parts of Sea are River and Some parts of the sea are not River hence all sea are river is False )

Hence,Only I follow.

SBI Clerk Prelims Memory Based Paper (Held On: 13 Jul 2021 Shift 1) (Previous Year Paper)·Reasoning Ability
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Question 720

SBI Clerk 2021• Reasoning Ability• Reasoning Ability

Direction: In the question below are given two 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 with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements

No Door is Table 

Only a few Wood are Table

Conclusions

I. All Door are Wood

II. Some Door are not Wood

  1. AOption (a)

    Only II follow

  2. BOption (b)

    Only I follow

  3. COption (c)

    Both I and II follows

  4. DOption (d)

    Either I or II follow

  5. EOption (e)

    Neither I nor II follows

View answer & explanation

Correct answer

Answer: (d)D.

Either I or II follow

Why this answer is correct

Least possible venn diagram is 

Conclusions

I. All Door are Wood → False( All doors are wood or not is not the definite conclusion, its possible condition hence this individual conclusion is false)

II. Some Door are not Wood  → False( Some door are not wood is not the definite conclusion, its possible condition hence this individual conclusion is false)

All and Some not form a complementary pair. It means either  All Door are Wood or Some Door are not Wood.

Hence, Either I or II follows.

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How should I prepare for Reasoning in SBI Clerk?

Solving previous year questions by topic helps identify recurring concepts, question patterns, and frequently asked sub-topics. Attempt each question, review the step-by-step explanation, and note down key formulas or facts for quick revision before the exam.