# IBM Placement Paper | Logical Reasoning Set – 4

This is an IBM model placement paper on Logical Reasoning for placement preparation. This placement paper will cover logical reasoning questions that are asked in IBM recruitment drives and also strictly follows the pattern of questions asked in IBM interviews. It is recommended to solve each one of the following questions to increase your chances of clearing the IBM interview.

Logical Reasoning

1. Find wrong number in series:
8, 24, 12, 36, 18, 54, 26

1. 12
2. 24
3. 18
4. 26

15

Explanation:

Two alternate series:
8 * 3 = 24
24 / 2 = 12
12 * 3 = 36
36 / 2 = 18
18 * 3 = 54
54 / 2 = 27

2. Find wrong number in series:
7, 26, 63, 124, 215, 342, 496

1. 7
2. 63
3. 215
4. 496

496

Explanation:

(23 – 1), (33 – 1), (43 – 1), (53 – 1), (63 – 1), (73 – 1), (83 – 1) = 511

3. Directions to solve Question 3 and 4: Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question.
(a) if the data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question.
(b) if the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.
(c) if the data in each Statement I and Statement II alone is sufficient to answer the question.
(d) if the data even in both Statements I and II together are not sufficient to answer the question.
(e) if the data in both Statements I and II together are necessary to answer the question.

4. What is the probability that x3 – 8 = 0 when x is selected from a set of 8 integers?
I. The smallest number in the set is -11
II. The arithmetic mean of the set is 1/8.

1. (a)
2. (b)
3. (c)
4. (d)
5. (e)

(d) if the data even in both Statements I and II together are not sufficient to answer the question.

5. How many children are there in a row?
Statement I. A is tenth from the left in the row.
Statement II. B is exactly in the middle and there are fifteen children towards his right.

1. (a)
2. (b)
3. (c)
4. (d)
5. (e)

(b) if the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.

6. Consider the following phrase:
Statement: Some S are L
Some C are P
Some P are R
Conclusions:
I. Some P are L
II. Some C are R
Choose the correct option given below:

1. only conclusion I is true.
2. only conclusion II is true.
3. either conclusion I or conclusion II is true
4. neither conclusion I nor conclusion II is true
5. both conclusions I and II are true.

(d)

7. Consider the following phrase:
Statement: Fruits are getting costlier day by day
Assumptions:
I. Fruits are a rare commodity
II. One should not eat Fruits
Choose the correct option given below.

1. If only assumption I is implicit
2. If only assumption II is implicit.
3. If either I or II is implicit.
4. If neither I nor II is implicit.
5. If both I and II are implicit.

(d)

8. Consider the following phrase:
Statement: Cactus plants grow in deserts and requires little water
Assumptions:
I. All plants that grow in desert require little water
II. Cactus plants might not grow in place with more water
Choose the correct option given below.

1. If only assumption I is implicit
2. If only assumption II is implicit.
3. If either I or II is implicit.
4. If neither I nor II is implicit.
5. If both I and II are implicit.

(d)

9. Statements:
I – Some S are L
II – Some C are P
III – All P is R
Conclusions:
I. Some P are L
II. Some C are R
Choose the correct option given below:

1. only conclusion I is true.
2. only conclusion II is true.
3. either conclusion I or conclusion II is true
4. neither conclusion I nor conclusion II is true
5. both conclusions I and II are true.

(d) neither conclusion I nor conclusion II is true

10. Find wrong number in series:
4, 5, 7, 12, 19, 35

1. 12
2. 19
3. 35

12

Explanation:

4 + 20 = 5
5 + 21 = 7
7 + 22 = 11
11 + 23 = 19
19 + 24 = 35

11. Find wrong number in series:
23, 29, 31, 33, 41, 43, 47

1. 29
2. 33
3. 41
4. 47

33

Explanation:

prime numbers from 23

12. Directions to solve Question 11 and 12: Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question.
(a) if the data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question.
(b) if the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.
(c) if the data in each Statement I and Statement II alone is sufficient to answer the question.
(d) if the data even in both Statements I and II together are not sufficient to answer the question.
(e) if the data in both Statements I and II together are necessary to answer the question.

13. What is the value of (x2/y2) + (y2/x2)?

I. x/y + y/x = 8
II. x/y – y/x = 4

1. (a)
2. (b)
3. (c)
4. (d)
5. (e)

(c) if the data in each Statement I and Statement II alone is sufficient to answer the question.

14. How many children are there between A and B in a row of children?
Statement I. A is tenth from the left in the row.
Statement II. B is exactly in the middle and there are fifteen children towards his right.

1. (a)
2. (b)
3. (c)
4. (d)
5. (e)

(e) if the data in both Statements I and II together are necessary to answer the question

15. Consider the following phrase:
Statement: All L are W.
Some P are W
All P are B
Conclusions:
I. Some B are W
II. Some W are L
Choose the correct option given below:

1. only conclusion I is true.
2. only conclusion II is true.
3. either conclusion I or conclusion II is true
4. neither conclusion I nor conclusion II is true
5. both conclusions I and II are true.

(e)

16. Consider the following phrase:
Statement: Mutual funds are subject to market risk
Assumptions:
I. One must not invest in Mutual Funds
II. One must consult a financial advisor before investing in this
Choose the correct option given below.

1. If only assumption I is implicit
2. If only assumption II is implicit.
3. If either I or II is implicit.
4. If neither I nor II is implicit.
5. If both I and II are implicit.

(b)

17. Consider the following phrase:
Statement: Money is a key factor in politics
Assumptions:
I. Poor should not involve in Politics
II. One can get into Politics inorder to get rich
Choose the correct option given below.

1. If only assumption I is implicit
2. If only assumption II is implicit.
3. If either I or II is implicit.
4. If neither I nor II is implicit.
5. If both I and II are implicit.

(d)

18. Statements:
I – Some S are L
II – Some C are P
III – All P is R
Conclusions:
I. Some P are L
II. Some C are R
Choose the correct option given below:

1. only conclusion I is true.
2. only conclusion II is true.
3. either conclusion I or conclusion II is true
4. neither conclusion I nor conclusion II is true
5. both conclusions I and II are true.

(d) neither conclusion I nor conclusion II is true

19. Find wrong number in series: 0, 1, 2, 3, 5, 8, 13, ..
1. 0
2. 1
3. 2
4. 3

2

Explanation:

Fibonacci Series

20. Find wrong number in series: 1, -8, 27, 64, 125, -216
1. -8
2. 27
3. 64
4. 125

64

Explanation:

Tn = 13 – 23 + 33 – 43 + …..

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