# IBM Placement Paper | Logical Reasoning Set 2

• Difficulty Level : Hard
• Last Updated : 16 Jan, 2020

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. What will be the next number=> 3, 5, 7, 11, 13, 17…….
1. 21
2. 19
3. 25
4. 20

```
19
```

Explanation:

This is a sequence of prime numbers

2. Find wrong number in series:
12, 25, 49, 99, 187, 395, 789

1. 789
2. 187
3. 99
4. 49

```
187
```

Explanation:

12*2+1 = 25
25*2-1 = 49
49*2+1 = 99
395*2-1 = 789

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 are 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 are 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. If x, y are integers, then (x2 + y2)1/2 is an integer?
I) x2 + y2 is an integer
II) x2 – 3y2 = 0

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.
```
5. Who is the tallest among the brothers A, B, C, D?
I: C is shorter than only B
II: D is taller than only A

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

```
(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.
```
6. Consider the following phrase:
Statements:
All mangoes are bananas.
Some bananas are globe.

All globe are square.

Conclusions:
I. Some mangoes are square.
II. No mango is square.
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.

```
(c)
```
7. Consider the following phrase:
Statement: A line from Ram’s appointment letter is “you are hereby appointed as a systems engineer with a probation period of two years and your performance will be reviewed at the end of the period for confirmation.”

Assumptions:
I. At the time of appointment, the performance of one generally is not well known.
II. In the probation period, one tries to prove his worth generally.

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.

```
(e)
```
8. Consider the following phrase:
Statement: In a IPL match. RR made 100 runs in total. Out of these 65 were made by bowlers
Assumptions:
I. 65% of the team consist of bowlers
II. The opening batsman were bowlers
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: 2, 6, 12, 20, 30, 40, 56
1. 12
2. 20
3. 40
4. 56

```
40
```

Explanation:

series (1*2) + (2*3) + (3*4) + ……+ (n*(n+1))

11. Find wrong number in series: -2, 4, 6, 8, -10
1. -2
2. 4
3. 6
4. 8

```
6
```

Explanation:

Tn = (-1)n2n

12. Find wrong number in series:
34, 7, 37, 14, 36, 28, 43, 56

1. 14
2. 36
3. 28
4. 56

```
36
```

Explanation:

Mixture of series (alternate numbers)
34+3=37,
37+3 =40…
7*2= 14
14*2= 28
28*2 =56

13. Find wrong number in series:
1, 4, 9, 16, 25, 32, 49, 64

1. 9
2. 25
3. 32
4. 64

```
32
```

Explanation:

Square of natural numbers:

12=1, 22 =4, 32=9…………..82=64

14. Directions to solve Question 13 and 14: 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 are 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 are 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.

15. Is x + y = 0?
Statement I – x.y < 0
Statement II – x2 = y2

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.
```

Explanation:

For x + y = 0, there are 2 cases:

Case 1:
x and y are of opposite sign.
This can be inferred from x.y < 0

Case 2:
x = y = 0
This can be inferred from x2 = y2

Hence the data in both Statements I and II together
are necessary to answer the question.

16. What is the value of ‘x’
I: x2 + x – 6 = 0
II: x => 0

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.
```
17. Consider the following phrase:
Statement: All C are J.
All J are B.
No B is R.
Conclusions:
I. All B are C.
II. Some J are C
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.

```
(b) only conclusion II is true.
```

Explanation:

All B are not C

18. Consider the following phrase:
Statement: Tag line of an advt: “Just step in! We are concerned about all your needs with wide range of articles”.
Assumptions:
II. Selective marketing is popular among people.

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.

```
(e)
```
19. Consider the following phrase:
Statement: The Sun of Britain never sets.
Assumptions:
I. Britain’s has 24 hour sunlight
II. Some part of the Britain always has sunlight
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)
```
20. 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.

```