Placement Paper
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IBPS Aptitude Reasoning Data Intrepretation questions with answers
1. If Atul finds that he is twelfth from the right in a queue of boys and fourth from the left, how many boys should be added to the queue so that there are 28 boys in the queue ?
(a) 12
(b) 13 (ANS)
(c) 14
(d) 20
Hints & Solutions : From formula, total number of boys in the queue = (Atul's rank from left) + (Atul's rank from right) - 1
= 12 + 4 - 1 = 15
∴ Total number of boys that should be added
= 28 - 15 = 13.
2. Manish ranked sixteenth from the top and twenty ninth from the bottom among those who passed an examination. Six boys did not participate in the competition and five failed in it. How many boys were there in the class ?
(a) 40
(b) 44
(c) 50
(d) 55 (ANS)
Hints & Solutions : From formula, total number of passed students = (Manisha's rank from the top) + (Manisha's rank from the bottom) - 1
= 16 + 29 - 1 = 4
∴ Total number of boys in the class
= Passed students + failed students + absent students
= 44 + 6 + 5 = 55
3. Aruna ranks twelfth in a class of forty six. What will be her rank from the last ?
(a) 33
(b) 34
(c) 35 (ANS)
(d) 37
Hints & Solutions : From formula,
Aruna's rank from the last = (total number of girls in the class) - (Aruna's rank from the top) + 1
= 46 - 12 + 1 = 47 - 12 = 35th
4. Ravi is 7 ranks ahead of Sumit in a class of 39. If Sumit's rank is seventeenth from the last, what is Ravi's rank from the start ?
(a) 14th
(b) 15th
(c) 16th (ANS)
(d) 17th
Hints & Solutions : Ravi is 7 ranks ahead of Sumit. That means, 6 students are there between Ravi and Sumit. Sumit's rank is 17th from the last.
Total number of students = 39
Total number of boys before Ravi = 39 - (16 + 1 + 6 + 1)
= 39 - 24 = 15
∴ Ravi's rank is 16th from the start.
5. In a class of 60 where girls are twice that of boys, Kamal ranked seventeenth from the top. If there are 9 girls a head of Kamal, how many boys are after him in rank ?
(a) 3
(b) 7
(c) 12 (ANS)
(d) 23
Directions (Qns. 6 to 11) : In each question below are given three statements followed by four conclusions-I, II, III and IV. 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 and then decide which of the given conclusions logically follow (s) from the given statements disregarding commonly known facts.
6. Statements :
Some books are pens.
All pens are chairs.
Some chairs are tables.
Conclusions :
I. Some books are chairs.
II. All chairs are books.
III. All tables are chairs.
IV. Some tables are chairs
A) All follow
B) Only I, II and III follow
C) Only I, II and IV follow (Ans)
D) Only II, III and IV follow
E) None of these
Explanatory Ans : - First and third premises are Particular Affirmative, i.e. I-type. Second premise is Universal Affirmative (A-type).
We know that,
I + A ⇒ 1 - type conclusion Therefore, our derived conclusion would be :
"Some books are chairs" This is the conclusion I.
Conclusion II is the conversion of our derived conclusion.
Two out of three premises are Particular and hence, Universal conclusion is invalid. This is conclusion III does not follow. Conclusion IV is the conversion of the third premise.
Therefore, only conclusions I, II and IV follow.
7. Statements :
All cars are jeeps.
All Jeeps are buses.
All buses are trucks.
Conclusions :
I. All trucks are buses.
II. All buses are jeeps.
III. All jeeps are cars.
IV. All cars are trucks
A) None follows
B) All follow
C) Only III and IV follow
D) Only IV follows (Ans)
E) None of these
Explanatory Ans : - All the three premises are Universal Affirmative (A-type).
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We know that,
A + A ⇒ A-type conclusion
Therefore, our required conclusion would be:
"All cars are buses".
There is no such conclusion.
Now,
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All buses are trucks.
A + A ⇒ A - type conclusion
Thus, our derived conclusion would be :
"All cars are trucks".
This is the conclusion IV.
Again
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We know that,
A + A ⇒ A - type conclusion
Thus, our derived conclusion would be :
"All jeeps are trucks" Therefore, only conclusion IV follows. Thus, our required answer is option (D).
VENN - DIAGRAM
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8 Statements :
Some trees are flowers.
Some flowers are pencils.
Some pencils are tables.
Conclusions :
I. Some tables are flowers.
II. Some pencils are trees.
III. Some tables are trees.
IV. Some trees are pencils.
A) All follow
B) None follows (Ans)
C) Only I and III follow
D) Only II and IV follow
E) None of these
Explanatory Ans : - All the three premises are Particular Affirmative (I-type). Therefore, no conclusion can be derived from these premises. Now look for any conversion and/or implication :
There is no such conclusion.
9. Statements :
All rods are bricks
Some bricks are ropes
All ropes are doors
Conclusions :
I. Some rods are doors.
II. Some doors are bricks.
III. Some rods are not doors.
IV. All doors are ropes.
A) Only I and II follow
B) Only I, II and III follow
C) Only either I or III and II follow (Ans)
D) Only either I or III and IV follow
E) None of these
Explanatory Ans : - First premise is Universal Affirmative (A-type).
Second premise is Particular Affirmative (I-type).
Third premise is Universal Affirmative (A-type).
We know that,
I + A ⇒ I - type conclusion
Conclusions : Some bricks are doors.
It is conversion of conclusion II. Conclusions I and III form complementary pair. Therefore either conclusion I or III follows. Therefore, our required answer is option (C).
10. Statements :
Some books are pens.
Some pens are watches.
All watches are radios.
Conclusions :
I. Some radios are watches.
II. Some radios are pens
III. Some watches are books
IV. Some books are watches
A) All follow
B) Only I and III follow
C) Only II and IV follow
D) Only I and IV follow
E) None of these (Ans)
Explanatory Ans : - First and second premises are Particular Affirmative, i.e. I-type. Third premise is Universal Affirmative (A-type). Conclusion I is the conversion of the third premise.
Second and third premises are relevant for the conclusion II.
Thus,
We know that,
I + A ⇒ I - type conclusion
Conclusions : Some pens are radios.
Conclusion II is the conversion of this conclusion.
Therefore, only conclusions I and II follow.
11. Statements :
All towns are villages.
No village is forest.
Some forests are rivers.
Conclusions :
I. Some forests are villages.
II. Some forests are not villages.
III. Some rivers are not villages.
IV. All villages are towns.
A) All follow
B) Only either I or II follows
C) Only either I or II and III follow
D) None follows
E) None of these (Ans)
Explanatory Ans : - First premise → Universal Affirmative (A-type).
Second premise → Universal Negative (E-type).
Third premise → Particular Affirmative (I-type).
Now,
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We know that,
A + E ⇒ E - type conclusion
Conclusions :
No town is forest.
There is no such conclusion.
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We know that,
E + I ⇒ O1 - type conclusion
Thus, our derived conclusion would be :
"Some rivers are not villages"
This is the conclusion III.
Again,
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We now that,
E + I ⇒ O1 - type conclusion
Conclusions :
Some rivers are not towns,
There is no such conclusion.
Conclusion II is the conversion of the second premise.
Therefore, Conclusions II and III follow.
12 In a row of boys facing north, Sudhanshu is twelfth from his left. When shifted to his right by four places, he becomes eighteenth from the right end of the row. How many boys are there in the row ?
A) 32
B) 33 (Ans)
C) 34
D) Data inadequate
E) None of these None of these
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After shifting his place
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Total number of boys in the row = (16 + 18) - 1 = 33
13. In a certain code language PROBLEM is written as MPERLOB. How will NUMBERS be written in that code ?
A) SNUREMB
B) SNRUBME
C) SNRUEMB (Ans)
D) SNRUMEB
E) None of these
Explanatory Ans : -
1 2 3 4 5 6 7
P R O B L E M
It has been coded as
7 1 6 2 5 3 4
M P E R L O B
Similarly,
1 2 3 4 5 6 7
N U M B E R S
Its code would be :
7 1 6 2 5 3 4
N R U E M B S
Directions (Qns. 14 to 40) : In each question below is given a statement followed by two assumptions numbered I and II. An assumption is something supposed or taken for granted. You have to consider the statement and the following assumptions and decide which of the assumptions is implicit in the statement.
Give answer (A) if only assumption I is implicit.
Give answer (B) if only assumption II is implicit.
Give answer (C) if either I or II is implicit.
Give answer (D) if neither I nor II is implicit.
Give answer (E) if both I and II are implicit.
14. Statement : The government has recently hiked the prices of diesel and petrol to reduce the oil poor deficit.
Assumptions :
I. The amount earned by this increase may be substantial enough to reduce the deficit.
II. There may be wide spread protests against the price hike.
Explanatory Ans : - (Ans : E) Both the assumption are implicit in the statement.
It is clearly mentioned in the statement that the Government has hiked the prices of diesel and petrol to reduce the oil pool deficit.
Whenever the prices of commodities are hiked, generally people raised the voice against such measure.
15. Statement : The X passenger car manufacturing company announced a sharp reduction in the prices of their luxury cars.
Assumptions :
I. There may be an increase in the sale of their luxury cars.
II. The other such care manufacturers may also reduce their prices.
Explanatory Ans : - (Ans : E) The price of any product is lowered assuming that its lowered assuming that its demand will increase. Therefore assumption I is implicit in the statement.
16. Statement : A foreign film producer rendered his apology before Indian society for misinterpreting a part of Indian epic.
Assumptions :
I. Indians are very sensitive to the misinterpretation of their epic.
II. It is possible to derive wrong meaning from the epic.
Explanatory Ans : - (Ans : E) From the content of the statement it is clear that both the assumptions re implicit in the statement.
17. Statement : Aswin's mother instructed him to return home by train if it rains heavily.
Assumptions :
I. Aswin may not be able to decide himself if it rains heavily.
II. The trains may ply event if it rains heavily.
Explanatory Ans : - (Ans : B) Only assumption II is implicit in the statement. If Aswin's mother asked his son to return home by train if it rains heavily, it implies that the trains would ply even if it rains heavily.
18. Statement : The Government of India has decided to start a track II dialogue with its neighbor to reduce tension in the area.
Assumptions :
I. The neighboring country may agree to participate in the track II dialogue.
II. The people involved in track II dialogue may be able to persuade their respective Governments.
Explanatory Ans : - (Ans : E) Both the assumptions are implicit in the statement.
19 Statement : The host in one of the popular T.V programmer announced that the channel will contact the viewers between 9.00 a.m. to 6.00 p.m. on weekdays and the lucky ones will be given fabulous prizes.
Assumptions :
I. The people may remain indoors to receive the phone call.
II. More people may start watching the Programme.
Explanatory Ans : - (Ans : E) Both the assumptions are implicit in the statement.
