Data Sufficiency- 2 Free MCQ Practice Test with Solutions

Test: Data Sufficiency- 2 - 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.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - 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- 2 - 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.

A.
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.
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.
Data either in Statement I alone or in Statement II alone are sufficient to answer the question.
D.
Data in both the Statements I and II together are not sufficient to answer the question.
E.
Data in both the Statements I and II together are necessary to answer the question.

Detailed Solution for Test: Data Sufficiency- 2 - Question 2

Test: Data Sufficiency- 2 - 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.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - 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- 2 - 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.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - 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- 2 - 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'.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - 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- 2 - 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.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - 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- 2 - 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.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - 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- 2 - 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'.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - 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- 2 - 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.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - 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- 2 - 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.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - 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.

Test: Data Sufficiency- 2 - Question 11

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: Who among P, Q, R, S and T is the lightest?
Statements:
I.R is heavier than Q and T but lighter than S.
II.S is not the heaviest.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - Question 11

From I, we have: R>Q, R>T, S>R i.e. S>R>Q>T or S>R>T>Q.

From II, S is not the heaviest. So, P is the heaviest. Thus, we have: P > S > R > Q > T or P > S > R > T > Q. Hence, either T or Q is the lightest.

Test: Data Sufficiency- 2 - Question 12

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 T related to K?
Statements:
I.K has two sons; one of the sons is A.
II.The mother of T has only two sons - Aand B.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - Question 12

From II, we know that T's mother has only two sons, A and B. This implies that T is the sister of both A and B. But, from I, A is also K's son. So, T is the daughter of K.

Test: Data Sufficiency- 2 - Question 13

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 shortest distance between Devipur and Durgapur ?
Statements:
I.Durgapur is 20 kms away from Rampur.
II.Devipur is 15 kms away from Rampur.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - Question 13

Clearly, the distance of each village from Rampur is given in I and II. But nothing about their relative positions is mentioned. So, the distance between the two villages cannot be calculated.

Test: Data Sufficiency- 2 - Question 14

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: Manoj, Prabhakar, Akash and Kamal are four friends. Who among them is the heaviest ?
Statements:
I.Prabhakar is heavier than Manoj and Kamal but lighter than Akash.
II.Manoj is lighter than Prabhakar and Akash but heavier than Kamal.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - Question 14

From I, we have: P > M, P > K, A > P.

Thus, A > P > M > K or A > P > K > M. So, Akash is the heaviest.

From II, we have: P > M, A > M, M > K.

Thus, A > P > M > K or P > A > M > K. So, either Akash or Prabhakar is the heaviest.

Test: Data Sufficiency- 2 - Question 15

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 A related to D ?
Statements:
I.B is the brother of A.
II.B is D's son.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - Question 15

From I and II, we conclude that A is either son or daughter of D.

Test: Data Sufficiency- 2 - Question 16

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: Vinod's and Javed's salaries are in the proportion of 4 : 3 respectively. What is Vinod's salary ?
Statements:
I.Javed's salary is 75% that of Vinod's salary.
II.Javed's salary is Rs 4500.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - Question 16

Statement I is merely an interpretation of the information contained in the question.

However, Vinod's salary can be ascertained from II as follows : Let Vinod's and Javed's salaries be 4x and 3x respectively. Then, 3x = 4500 or x = 1500. Therefore Vinod's salary = 4x = Rs. 6000.

Test: Data Sufficiency- 2 - Question 17

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 Nitin's rank from the top in a class of forty students ?
Statements:
I.There are ten students between Nitin and Deepak.
II.Deepak is twentieth from the top.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - Question 17

Since there are ten students between Nitin and Deepak, so Nitin may be eleven ranks above or below Deepak. Thus, Nitin may be 9th or 31st from the top.

Test: Data Sufficiency- 2 - Question 18

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: Which direction is Sunny facing now ?
Statements:
I.If Sunny turns to his right and again turns to his right, he will be facing North.
II.If Sunny walks some distance and turns left and again walks some distance, then his face will be towards left of Dinesh who is facing South.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - Question 18

From I, we conclude that Sunny is facing South, since a person facing South shall face North on turning to his right, twice.

From II, we know that after walking, Sunny shall face towards left of Dinesh facing South i.e. East and a person walking southwards shall face East on turning to 'his left.

Thus, Sunny is facing South.

Test: Data Sufficiency- 2 - Question 19

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: T studies in which of the schools B, C, D, E and F ?
Statements:
I.T does not study in the same school as either R or J.
II.R and J study in schools D and F respectively.

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

Detailed Solution for Test: Data Sufficiency- 2 - Question 19

As given in I and II, R studies in school D and J studies in school F. So, T does not study in school D or school F. Thus, T studies in any one of the schools B, C or E.

Test: Data Sufficiency- 2 - Question 20

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 many New Year's greeting cards were sold this year in your shop ?
Statements:
I.Last year 2935 cards were sold.
II.The number of cards sold this year was 1.2 times that of last year.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - Question 20

From both I and II, we find that the number of cards sold this year = (2935 x 1.2) = 3522.

Test: Data Sufficiency- 2 - Question 21

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 day in April is Gautam's birthday?
Statements:
I.Gautam was born exactly 28 years after his mother was born.
II.His mother will be 55 years 4 months and 5 days on August 18 this year.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - Question 21

Clearly, the birthday of Gautam's mother can be found out from II and then Gautam's birthday can be determined using the fact given in I.

Test: Data Sufficiency- 2 - Question 22

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 'is' in the code language ?
Statements:
I.In the code language, 'shi tu ke' means 'pen is blue'.
II.In the same code language, 'ke si re' means 'this is wonderful'.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - Question 22

In I and II, the common word is 'is' and the common code word is 'ke'. So, 'ke' is the code for 'is'.

Test: Data Sufficiency- 2 - Question 23

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 A, B, C, D and E, who is in the middle while standing in a row ?
Statements:
I.C, who is third to the left of D, is to the immediate right of A and second to the left of E.
II.C is second to the left of E, who is not at any of the ends and who is third to the right of A. D is at one of the ends.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - Question 23

From each one of I and II, we get the order : A, C, B, E, D. Clearly, B is in the middle.

Test: Data Sufficiency- 2 - Question 24

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 A, B, C, D, E and F, who is the heaviest ?
Statements:
I.A and D are heavier than B, E and F but none of them is the heaviest.
II.A is heavier than D but lighter than C.

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
E.
Both I and II are sufficient

Detailed Solution for Test: Data Sufficiency- 2 - Question 24

From I, we conclude that since none of A and D is the heaviest and each one of B, E and F is lighter than both A and D, so C is the heaviest.

Test: Data Sufficiency- 2 - CAT MCQ

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