Data Sufficiency Test-5

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Data Sufficiency Test-5

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Question 1
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Directions For Questions

The question below consists of a few statements. You have to decide whether the data provided in the statements are sufficient to answer the question. Read statements and give your answer.

...view full instructions

What is the time on the clock?

Statement I: The mirror image of the clock shows 5:45.

Statement II: The hands of the clock are not in a straight line.

A
Data in statement I alone is sufficient, while statement II is not sufficient to answer the question.

B
Data in statement II alone is sufficient, while statement I is not sufficient to answer the question.

C
Data in either statement I or II alone is sufficient to answer the question.

D
Data in neither statement I nor II alone is sufficient to answer the question.

Solution

Statement I: Sufficient

The exact time from the mirror image can be easily determined.

Statement II: Not sufficient

The hands are in a straight line multiple times during the day so, the exact time cannot be determined.

Therefore, only statement I is sufficient.
Question 2
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Directions For Questions

The question below consists of a few statements. You have to decide whether the data provided in the statements are sufficient to answer the question. Read statements and give your answer.

...view full instructions

In which direction is column P with respect to column Q?

Statements:

I. Pillar P is to the south of Pillar X, which is to the east of Pillar B. Pillar Q is to the north of Pillar B.

II. Pillar P is to the southeast of Pillar B. Pillar X is to the southeast of Pillar Q.

A
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
The data in statements I and II together are not sufficient to answer the question

C
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

D
The data in statements I and II together are sufficient to answer the question

Solution

By statement I:

Pillar P is to the south of Pillar X, which is to the east of Pillar B. Pillar Q is to the north of Pillar B.

By this statement, we can say that Pillar P is in South - West direction with respect to the pillar Q.

By statement II:

Pillar P is to the southeast of Pillar B. Pillar X is to the southeast of Pillar Q.

By this statement, we can not determine the position of pillar P with respect to pillar Q

So, data in statement I is sufficient to give the answer.
Question 3
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Directions For Questions

The question below consists of a few statements. You have to decide whether the data provided in the statements are sufficient to answer the question. Read statements and give your answer.

...view full instructions

Is the number of girls more than the number of boys?

Statements:

S1: There are not more than 60 students in the class.

S2: The ratio of the IQ level of boys and girls is 2 ∶ 3.

A
S1 alone is sufficient to answer the question.

B
S1 and S2 together are not sufficient to answer the question.

C
Both S1 and S2 together are sufficient to answer the question, but neither S1 alone nor S2 alone is sufficient to answer the question.

D
S2 alone is sufficient to answer the question.

Solution

S1: There are not more than 60 students in the class.

This means total number of students in the class is less than 60 or equal to 60.

So, S1 alone is not sufficient to know if the number of girls are more than the number of boys.

S2: The ratio of the IQ level of boys and girls are 2 ∶ 3.

We can only say from this statement that girls IQ level is more than boys.

So, S2 alone is not sufficient to know if the number of girls are more than the number of boys.

If we combine both the statements still we cannot determine if the number of girls is more than boys.

So, "S1 and S2 together are not sufficient to answer the question" is the correct answer.
Question 4
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Directions For Questions

The question below consists of a few statements. You have to decide whether the data provided in the statements are sufficient to answer the question. Read statements and give your answer.

...view full instructions

Seven persons from A to G are standing in a row, such that some of them face south while some face in north direction. Is D third to the left of B?

Statement I: B is at a gap of two persons from C, who is at an extreme end. D is on the immediate right of G, who is neither adjacent to C nor faces North. A is at a gap of one person from D.

Statement II: The only G is adjacent to D, who faces North. C and D are at the extreme ends of the row. C is fourth to the right of B.

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 either in statement I alone or in statement II alone is sufficient to answer the question.

D
If the data in both statement I and II together are not sufficient to answer the question.

Solution

From statement I:

The hints are given in the statement I can be used as per the following two cases.

As the direction faced by B is unknown, thus the given question can't be answered.

Thus, data in statement I alone is not sufficient.

From statement II:

With the hints mentioned in statement II following two cases can be drawn.

In both cases, D is not third to the left of B.

Thus, data in statement II alone is sufficient.

So, data in statement II alone is sufficient to answer the question.
Question 5
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Directions For Questions

The question below consists of a few statements. You have to decide whether the data provided in the statements are sufficient to answer the question. Read statements and give your answer.

...view full instructions

In a certain code, 'nop al ed' means 'They like flowers'. Which code word means 'flowers'?

Statements:

I. 'id nim nop' means 'They are innocent'.

II. 'gob ots al' means 'We like roses'.

A
I alone is sufficient while II alone is not sufficient

B
II alone is sufficient while I alone is not sufficient

C
Neither I nor II is sufficient

D
Both I and II are sufficient

Solution

In the given statement and I, the common word is 'They' and the common code word is 'nop'. So, 'nop' is the code for 'They'.

In the given statement and II, the common word is 'like' and the common code word is 'al'. So, 'al' is the code for 'like'.

Thus, in the given statement, 'ed' is the code for 'flowers'.

By combining statements I and II, we can determine the code of 'flower'. So, both I and II are sufficient.
Question 6
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Directions For Questions

The question below consists of a few statements. You have to decide whether the data provided in the statements are sufficient to answer the question. Read statements and give your answer.

...view full instructions

In which year was Sanjay born?

Statements:

I. Sanjay is six years older than Gopal.

II. Gopal's brother was born in 1982.

III. Sanjay's brother is two years younger than Gopal's brother who was eight years younger than Gopal.

A
Only I and II are sufficient

B
Only II and III are sufficient

C
Only I and III are sufficient

D
All together I, II, and III are sufficient

Solution

From II, we know that Copal's brother was born in 1982.

From III, we find that Gopal's brother was 8 years younger to him i.e. Gopal was born in 1974.

From I, we find that Sanjay is 6 years older than Gopal. Thus, Sanjay was born in 1968.

So, All together I, II, and III are sufficient.
Question 7
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Directions For Questions

The question below consists of two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give an answer.

...view full instructions

Which code word stands for 'good' in the coded sentence 'sin co bye' which means 'He is good'?

Statements:

I. In the same code language, 'co mot det' means 'They are good'.

II. In the same code language, 'sin mic bye' means 'He is honest'.

A
I alone is sufficient while II alone is not sufficient

B
II alone is sufficient while I alone is not sufficient

C
Either I or II is sufficient

D
Neither I nor II is sufficient

Solution

In the given statement and I, the common word is 'good' and the common code word is 'co'. So, 'co' is the code for 'good'.

In the given statement and II, the common words are 'He' and 'is' and the common code words are 'sin' and 'bye'. So 'sin' and 'bye' are the codes for 'He' and 'is'. Thus, in the given statement, 'co' is the code for 'good'.
Question 8
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Directions For Questions

The question below consists of two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give an answer.

...view full instructions

Gaurav ranks eighteenth from the top in a class. What is his rank from the last?

Statement:

I. There are 47 students in the class.

II. Jatin who ranks 10th in the same class ranks 38th from the last.

A
I alone is sufficient while II alone is not sufficient

B
II alone is sufficient while I alone is not sufficient

C
Either I or II is sufficient

D
Neither I nor II is sufficient

Solution

From I, we conclude that in a class of 47 students, Gaurav ranks 18th from the top and hence 30th from the last.

From II, we conclude that there are 9 students above and 37 students below Jatin in rank. Thus, there are (9 + 1 + 37) = 47 students in the class.

So, Gaurav who ranks 18th from the top, is 30th from the last.
Question 9
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Directions For Questions

The question below consists of two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give an answer.

...view full instructions

What is the code for 'or' in the code language?

Statements :

I. 'nik sa te' means 'right or wrong', 'ro da nik' means 'he is right' and 'fe te ro' means 'that is wrong'.

II. 'pa nik la' means 'that right man', 'sa ne pa' means 'this or that' and 'ne ka re' means 'tell this there'.

A
I alone is sufficient while II alone is not sufficient

B
II alone is sufficient while I alone is not sufficient

C
Either I or II is sufficient

D
Neither I nor II is sufficient

Solution

I. In 'right or wrong' and 'he is right', the common word is 'right' and the common code word is 'nik'. So 'nik' means 'right'. In 'right or wrong' and 'that is wrong', the common word is 'wrong' and the common code word is 'te'. So, 'te' means 'wrong'.

Thus, in 'right or wrong', 'sa' is the code for 'or'.

II. In 'that right man' and 'this or that', the common word is 'that' and the common code word is 'pa'. So, 'pa' means 'that'. In 'this or that' and 'tell this there', the common word is 'this' and the common code word is 'ne'. So, 'ne' means 'this'. Thus, in 'this or that', 'sa' is the code for 'or'.
Question 10
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Directions For Questions

The question given below is followed by three statements. You have to determine whether the data given in the statements are sufficient for answering the question.

...view full instructions

What is the cost of flooring the rectangular hall?

Statements:

I. Length and the breadth of the hall are in the ratio of 3:2.

II. Length of the hall is 48 m and cost of flooring is Rs. 850 per sq.m.

III. Perimeter of the hall is 160 m and cost of flooring is Rs. 850 per sq.m.

A
I and II

B
I and III

C
Only III

D
Any two of the three

Solution