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Test: Data Sufficiency (March 28) - CAT MCQ


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Test: Data Sufficiency (March 28) - Question 1

Directions to Solve: In each of the questions below consists of a question and 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 answer:
- (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are 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 are not sufficient to answer the question
- (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
- (D) If the data given in both statements I and II together are not sufficient to answer the question and
- (E) If the data in both statements I and II together are necessary to answer the question.

Question: Madan is elder than Kamal and Sharad is younger than Arvind. Who among them is the youngest ?
Statements:
I.Sharad is younger than Madan.
II.Arvind is younger than Kamal.

Detailed Solution for Test: Data Sufficiency (March 28) - Question 1

As given, we have: M > K, A > S.

From II, K > A. Thus, we have: M > K > A > S.

So, Sharad is the youngest. From I, M > S. Thus, we have: M>K>A>S or M>A>K>S or M>A>S>K.

Test: Data Sufficiency (March 28) - Question 2

Directions to Solve: In each of the questions below consists of a question and 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 answer: -
(A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are 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 are not sufficient to answer the question -
(C) If the data either in statement I alone or in statement II alone are sufficient to answer the question -
(D) If the data given in both statements I and II together are not sufficient to answer the question and -
(E) If the data in both statements I and II together are necessary to answer the question.
Question: What is the rank of K from bottom in a class of 30 students?
Statements:
I.M is third from the top and there are five students between M and K.
II.The rank of P is fourth from the bottom and there are 17 students between P and K.

Detailed Solution for Test: Data Sufficiency (March 28) - Question 2

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Test: Data Sufficiency (March 28) - Question 3

Directions to Solve: In each of the questions below consists of a question and 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 answer:
- (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are 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 are not sufficient to answer the question
- (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
- (D) If the data given in both statements I and II together are not sufficient to answer the question and
- (E) If the data in both statements I and II together are necessary to answer the question.

Question: How is Sulekha related to Nandini ?
Statements:
I.Sulekha's husband is the only son of Nandini's mother.
II.Sulekha's brother and Nandini's husband are cousins.

Detailed Solution for Test: Data Sufficiency (March 28) - Question 3

From I, we conclude that Sulekha is the wife of Nandini's mother's only son i.e. Nandini's brother. Thus, Sulekha is Nandini's sister-in-law.

From II, we conclude that Sulekha is the cousin of Nandini's husband, which implies that Sulekha is Nandini's sister-in-law.

Test: Data Sufficiency (March 28) - Question 4

Directions to Solve: In each of the questions below consists of a question and 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 answer:
- (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are 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 are not sufficient to answer the question
- (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
- (D) If the data given in both statements I and II together are not sufficient to answer the question and
- (E) If the data in both statements I and II together are necessary to answer the question.

Question: On which date in August was Kapil born ?
Statements:
I.Kapil's mother remembers that Kapil was born before nineteenth but after fifteenth.
II.Kapil's brother remembers that Kapil was born before seventeenth but after twelfth.

Detailed Solution for Test: Data Sufficiency (March 28) - Question 4

From I, we conclude that Kapil was born on any one of the dates among 16th, 17th and 18th.

From II, we conclude that Kapil was born on any one of the dates among 13th, 14th, 15th and 16th.

Thus, from both I and II, we conclude that Kapil was born on 16th August.

Test: Data Sufficiency (March 28) - Question 5

Directions to Solve: In each of the questions below consists of a question and 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 answer:
- (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are 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 are not sufficient to answer the question
- (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
- (D) If the data given in both statements I and II together are not sufficient to answer the question and
- (E) If the data in both statements I and II together are necessary to answer the question.

Question: 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'.

Detailed Solution for Test: Data Sufficiency (March 28) - Question 5

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'.

Test: Data Sufficiency (March 28) - Question 6

Directions to Solve: In each of the questions below consists of a question and 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 answer:
- (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are 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 are not sufficient to answer the question
- (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
- (D) If the data given in both statements I and II together are not sufficient to answer the question and
- (E) If the data in both statements I and II together are necessary to answer the question.

Question: Can Ritesh retire from office X in January 2006, with full pension benefits ?
Statements:
I.Ritesh will complete 30 years of service in office X in April 2000 and desires to retire.
II.As per office X rules, an employee has to complete minimum 30 years of service and attain age of 60. Ritesh has 3 years to complete age of 60.

Detailed Solution for Test: Data Sufficiency (March 28) - Question 6

Clearly, the facts given in I and II contain two conditions to be fulfilled to get retirement and also indicate that Ritesh fulfills only one condition out of them.

Test: Data Sufficiency (March 28) - Question 7

Directions to Solve: In each of the questions below consists of a question and 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 answer:
- (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are 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 are not sufficient to answer the question
- (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
- (D) If the data given in both statements I and II together are not sufficient to answer the question and
- (E) If the data in both statements I and II together are necessary to answer the question.

Question: What is Gagan's age ?
Statements:
I.Gagan, Vimal and Kunal are all of the same age.
II.Total age of Vimal, Kunal and Anil is 32 years and Anil is as old as Vimal and Kunal together.

Detailed Solution for Test: Data Sufficiency (March 28) - Question 7

As given in I and II, we have: G = V = K, V + K + A = 32 and A = V + K.

Putting V + K = A in V + K + A = 32, we have: 2A = 32 or A = 16.

Thus, V + K = 16 and V = K. So, V = K = 8. Thus, G = 8.

Test: Data Sufficiency (March 28) - Question 8

Directions to Solve: In each of the questions below consists of a question and 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 answer:
- (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are 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 are not sufficient to answer the question
- (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
- (D) If the data given in both statements I and II together are not sufficient to answer the question and
- (E) If the data in both statements I and II together are necessary to answer the question.

Question: In a certain code, '13' means 'stop smoking' and '59' means 'injurious habit'. What do '9' and '5' mean respectively in that code?
Statements:
I.'157' means 'stop bad habit'.
II.'839' means 'smoking is injurious'.

Detailed Solution for Test: Data Sufficiency (March 28) - Question 8

'59' means 'injurious habit' and '157' means 'stop bad habit' (from I). Thus, the common code number '5' stands for common word 'habit'. So, '9' represents 'injurious'. Hence, I is sufficient.

Also, '59' means 'injurious habit' and '839' means 'smoking is injurious'. Thus, the common code number '9' stands for common word 'injurious'. So, '5' represents 'habit'. Thus, II is also sufficient.,

Test: Data Sufficiency (March 28) - Question 9

Directions to Solve: In each of the questions below consists of a question and 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 answer:
- (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are 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 are not sufficient to answer the question
- (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
- (D) If the data given in both statements I and II together are not sufficient to answer the question and
- (E) If the data in both statements I and II together are necessary to answer the question.

Question: How much money do Vivek and Suman have together ?
Statements:
I.Suman has 20 rupees less than what Tarun has.
II.Vivek has 30 rupees more than what Tarun has.

Detailed Solution for Test: Data Sufficiency (March 28) - Question 9

From I, we have: S = T - 20.

From II, we have: V = T + 30.

Thus, from both I and II, we have: V + S = (T + 30) + (T - 20) = (2 T + 10).

So, to get the required amount, we need to know the amount that Tarun has.

Test: Data Sufficiency (March 28) - Question 10

Directions to Solve: In each of the questions below consists of a question and 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 answer:
- (A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are 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 are not sufficient to answer the question
- (C) If the data either in statement I alone or in statement II alone are sufficient to answer the question
- (D) If the data given in both statements I and II together are not sufficient to answer the question and
- (E) If the data in both statements I and II together are necessary to answer the question.

Question: Among Monika, Anita, Sonal, Ratna and Tanvy, who came last for the programme ?
Statements:
I.Monika came after Anita but not after Tanvy.
II.Ratna came after Tanvy but not after Sonal.

Detailed Solution for Test: Data Sufficiency (March 28) - Question 10

From I, we have the order : A, M, T.

From II, we have the order: T, R, S.

Combining the above two, we get the order: A, M, T, R, S.

Thus, Sonal came last for the programme.

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