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All questions of Data Sufficiency for UPSC CSE Exam

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 Tanya(girl) related to the man in the photograph ?
Statements:
I.
Man in the photograph is the only son of Tanya's grandfather.

II.The man in the photograph has no brothers or sisters and his father is Tanya's grandfather.
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    Both I and II are sufficient
  • c)
    II alone is sufficient while I alone is not sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Either I or II is sufficient 
Correct answer is option 'B'. Can you explain this answer?

Rahul Gupta answered
From statement I, we know that the man in the photograph is the only son of Tanya's grandfather. This means that Tanya is either the man's daughter or granddaughter.

From statement II, we know that the man in the photograph has no brothers or sisters and his father is Tanya's grandfather. This confirms that Tanya is the man's daughter or granddaughter.

Combining both statements, we can conclude that Tanya is either the daughter or granddaughter of the man in the photograph.
Clear all your doubts with EduRev

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 mark the appreciate answer.
Question: How much was the total sale of the company?
Statements:
I. 
The company sold 8000 units of product A each costing Rs. 25.

II. This company has no other product line.
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Both I and II are needed to answer the question
  • d)
    Neither I nor II is sufficient
  • e)
    Either I or II is sufficient
Correct answer is option 'C'. Can you explain this answer?

Dhruv Mehra answered
From I, total sale of product A = Rs. (8000 x 25) = Rs. 200000.
From II, we know that the company deals only in product A.
This implies that sale of product A is the total sale of the company, which is Rs. 200000.
So Option C is correct

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 mark the appreciate answer.
Question: How many children does M have?
Statements:
I. 
H is the only daughter of X who is wife of M.

II. K and J are brothers of M.
  • a)
    II alone is sufficient while I alone is not sufficient
  • b)
    Neither I nor II is sufficient
  • c)
    Either I or II is sufficient
  • d)
    I alone is sufficient while II alone is not sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'D'. Can you explain this answer?

Ishita Reddy answered
The correct answer is:
d) I alone is sufficient while II alone is not sufficient
Explanation:
  • Statement I: H is the only daughter of X, who is the wife of M. This means M has at least one child (H, the daughter). Therefore, this statement alone is sufficient to answer that M has one child.
  • Statement II: K and J are brothers of M. This information provides no direct insight into how many children M has, as it talks about M's brothers, not M's children. Therefore, this statement alone is not sufficient to answer the question.
Hence, Statement I alone is sufficient, while Statement II alone is not sufficient to answer the question.

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 mark the appreciate answer.
Question: In which year was Rahul born?
Statements: 
I. 
Rahul at present is 25 years younger to his mother.

II. Rahul's brother, who was born in 1964, is 35 years younger to his mother.
  • 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
Correct answer is option 'E'. Can you explain this answer?

Roshni Kulkarni answered
From Statement I:
Rahul = Mother - 25
From Statement II:
Rahul's brother born in 1964.
And, Rahul's Brother is 35 years younger to his mother.
So, his mother will be born on 1964 - 35 = 1929.
Now, After combining Statement I and II, we get:
Rahul was born on = 1929 + 25 = 1954.
So, Both Statement I and Statement II are sufficient.
Hence, the correct answer is "Option (E)".

Directions to SolveIn 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 andGive 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 - 
Question: What does '$' mean in a code language?
Statements:I.'5$#3' means 'flowers are really good'.II.'7#35' means 'good flowers are available'.
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
Correct answer is option 'E'. Can you explain this answer?

Jaya Gupta answered
In I and II, the common codes are '5', '#' and '3' and the common words are 'flowers', 'are' and 'good'. Thus, in I, the remaining code '$' stands for 'really'.

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 -
Question: How many children are there in the row of children facing North ?
Statements:
I.
Vishakha who is fifth from the left end is eighth to the left of Ashish who is twelfth from the right end.

II.Rohit is fifth to the left of Nisha who is seventh from the right end and eighteenth from the left end.
  • 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
Correct answer is option 'C'. Can you explain this answer?

Lakshmi Senapathi answered
Are u sure that everyone are facing towards north ?

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 mark the appreciate answer.
Question: How is T related to K?
Statements:
I. 
R's sister J has married T's brother L, who is the only son of his parents.

II. K is the only daughter of L and J.
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Both I and II are sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Either I or II is sufficient
Correct answer is option 'C'. Can you explain this answer?

Dhruv Mehra answered
From I, we know that L is T's brother and J's husband. Since L is the only son of his parents, T is L's sister.
From II, we know that K is L's daughter.
Thus, from I and II, we conclude that T is the sister of K's father i.e. T is K's aunt.
So Option C is correct

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 -
 
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
Correct answer is option 'E'. Can you explain this answer?

Debolina Tiwari answered
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.

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 -
Question: On which day of the week was birthday of Sahil ?
Statements:
I.
Sahil celebrated his birthday the very next day on which Arun celebrated his birthday.

II.The sister of Sahil was born on the third day of the week and two days after Sahil was born.
  • 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
Correct answer is option 'B'. Can you explain this answer?

Anand Goyal answered
I does not mention the day of the week on the birthday of either Arun or Sahil.
According to II, Sahil's sister was born on Wednesday and Sahil was born two days before Wednesday i.e. on Monday.

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 -
 
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
Correct answer is option 'D'. Can you explain this answer?

Maulik Roy answered
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.

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 -

Question: On a T.V. channel, four serials A, B, C, and D were screened, one on eacn days, on four consecutive days but not necessarily in that order. On which day was serial C screened?

Statements:
I. The first serial was screened on 23rd, Tuesday and was followed by serial D.
II. Serial A was not screened on 25th and one serial was screened between serials A and B.

 
 
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Both I and II are sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Either I or II is sufficient
Correct answer is option 'C'. Can you explain this answer?

Manasa Sarkar answered
From I, we know that the serials were screened on 23rd, 24th, 25th and 26th.
Clearly, D was screened second i.e. on 24th, Wednesday.
From II, we know that one serial was screened between A and B.
So, A and B were screened first and third, i.e. on 23rd and 25th. But, A was not screened on 25th.
So, A was screened on 23rd and B on 25th. Thus, C was screened on 26th, Friday.

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 -
 
Question: How many sons does D have ?
Statements:
A's father has three children.

II.B is A's brother and son of D.
 
 
  • 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
Correct answer is option 'D'. Can you explain this answer?

Harshitha Desai answered
From both I and II together, we can conclude that A and B are the children of D, but the sex of A and the third child of D is not known. So, both I and II together are also not sufficient to answer the question.

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 -
Question: How many students in a class play football ?
Statements:
I.
Only boys play football.

II.There are forty boys and thirty girls in the class.
  • 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
Correct answer is option 'D'. Can you explain this answer?

Ruchi Chavan answered
It is not mentioned whether all the boys or a proportion of them play football.

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 mark the appreciate answer.
Question: How is F related to P?
Statements:
I. 
P has two sisters M and N.

II. F's mother is sister of M's father.
  • 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)
     Both I and II are sufficient
  • e)
    Neither I nor II is sufficient
Correct answer is option 'D'. Can you explain this answer?

Nandita Dasgupta answered
Analysis:
In order to determine how F is related to P, we need information about the relationship between F and P. Let's analyze the given statements.

Statement I:
P has two sisters M and N.
This statement alone does not provide any information about the relationship between F and P. It only gives information about P's siblings, not about F's relationship with P.

Statement II:
F's mother is the sister of M's father.
This statement also does not directly provide the relationship between F and P. It gives information about the relationship between F's mother and M's father, but it does not directly establish the relationship between F and P.

Conclusion:
From the analysis of both statements, we can see that neither statement alone is sufficient to determine how F is related to P. Therefore, the correct answer is option (D) - Neither I nor II is sufficient. To determine the relationship between F and P, we need information from both statements combined.

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 -
 
Question: In a certain code language, '297' means 'tie clip button'. Which number means 'button' in that language ?
Statements:
I.
In that language, '926' means clip your tie'.

II.In that language, '175' means 'hole and button'.
 
 
  • 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
Correct answer is option 'C'. Can you explain this answer?

Nabanita Gupta answered
In given statement and I, the common words are 'tie' and 'clip' and the common codes are '2' and '9'. So, '2' and '9' are the codes for 'tie' and 'clip'. Thus, in the given statement, '7' means 'button'. In given statement and II, the common code word '7' represents the common word 'button'.

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 -
 
Question: What is the monthly salary of Prashant ?
Statements:
I.
Prashant gets 15% more than Sumit while Sumit gets 10% less than Lokesh.

II.Lokesh's monthly salary is Rs 2500.
 
 
  • 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
Correct answer is option 'E'. Can you explain this answer?

Mansi Joshi answered
From both I and II, we find that:
Prashant's salary = 115% of (90% of Rs 2500) = Rs 2587.50.

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 mark the appreciate answer.
Question: How is J related to P?
Statements:
I. 
M is brother of P and T is sister of P.

II. P's mother is married to J's husband who has one son and two daughters.
  • 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
Correct answer is option 'B'. Can you explain this answer?

Dhruv Mehra answered
According to the question, if we see that the statements as given below:
Statement I, M is the brother of P and T is the sister of P.
From I, the relation between J and P cannot be determined.
From statement II, we know that P's mother is married to J's husband, which means that J is P's mother.
Hence, If the data in statement I alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question is the correct answer.
So Option B is correct

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 mark the appreciate answer.
Question: Who is to the immediate right of P among five persons P, Q, R, S and T facing North?
Statements:
I. 
R is third to the left of Q and P is second to the right of R.

II. Q is to the immediate left of T who is second to the right of P.
  • 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
Correct answer is option 'C'. Can you explain this answer?

Niti Iyer answered
Statement I: R is third to the left of Q and P is second to the right of R.
Case 1: 

Case 2:
In both the cases, Q is to the immediate right of P.
Statement II: Q is the immediate left of T who is second to the right of P
Case 1: 

Case 2:

Case 3:
In all three cases, Q is to the immediate right of P.
Therefore, the data either in (I) or (II) are sufficient to answer the question
Hence, option C is the correct answer.

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 -
 
Question: In a row of five buildings - P, Q, R, S and T, which building is in the middle ?
Statements:
I.
Buildings S and Q are at the two extreme ends of the row.

II.Building ,T is to the right of building R.
 
 
  • 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
Correct answer is option 'D'. Can you explain this answer?

Alok Verma answered
From I, we have the order : S, -, -, -, Q. From II, we have the order : R, T. Combining the above two, we get two possible orders : S, R, T, P, Q or S, P, R, T, Q. Thus, either T or R is in the middle.

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 -
 
Question: How many visitors saw the exhibition yesterday ?
Statements:
I.
Each entry pass holder can take up to three persons with him/her.

II.In all, 243 passes were sold yesterday.
 
 
  • 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
Correct answer is option 'D'. Can you explain this answer?

Saanvi Rane answered
Statement Analysis:

Statement I: Each entry pass holder can take up to three persons with him/her.
- This statement provides information about the number of people allowed per entry pass holder, but it does not give the total number of visitors.

Statement II: In all, 243 passes were sold yesterday.
- This statement gives the total number of passes sold, but it does not specify how many people actually visited the exhibition.

Combined Analysis:
- Statement I gives the limit on the number of people per pass holder, but it does not give the actual number of pass holders.
- Statement II provides the total number of passes sold, but it does not specify how many people each pass holder brought with them.
- Without knowing the exact number of pass holders and how many people each pass holder brought, we cannot determine the total number of visitors.
- Therefore, the data given in both statements I and II together are not sufficient to answer the question.
- The correct answer is option (D) Neither I nor II is sufficient.

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 mark the appreciate answer.
Question: On which date of the month was Anjali born in February 2004?
Statements:
I. 
Anjali was born on an even date of the month.

II. Anjali's birth date was a prime number.
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    II alone is sufficient while I alone is not sufficient
  • c)
    Both I and II are sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Either I or II is sufficient
Correct answer is option 'C'. Can you explain this answer?

Gayatri Sarkar answered
From I and II, we conclude that Anjali was born in February 2004 on a date which is an even prime number. Since the only even prime number is 2, so Anjali was born on 2nd February, 2004.
So Option C is correct

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 -
 
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
Correct answer is option 'C'. Can you explain this answer?

Sagar Sharma answered
Understanding the Code
In the given problem, we have some coded messages:
- 13 means "stop smoking."
- 59 means "injurious habit."
We need to decipher what 9 and 5 mean in this code.
Analyzing the Statements
- Statement I: 157 means stop bad habit.
- From this, we can deduce that "stop" is associated with 1 or 5 based on its occurrence in both 13 and 157. However, we cannot determine what 9 and 5 mean without additional context about the other numbers in the code.
- Statement II: 839 means smoking is injurious.
- Here, "smoking" is related to 8, "is" is likely associated with 3, and "injurious" is linked to 9 based on the previous pattern. This gives a direct relationship with 9 but does not provide information about 5.
Conclusion from the Statements
- Statement I alone does not provide sufficient information to determine what 9 and 5 mean.
- Statement II gives information about 9 but does not clarify what 5 stands for.
Combining the Statements
When we combine both statements:
- Statement I: Suggests a relationship between the words and numbers but lacks clarity on 9 and 5.
- Statement II: Provides clarity on 9 but does not define 5.
Since either statement alone provides partial information, we can conclude that either I or II can lead us to decipher part of the code, making it possible to answer the question.
Final Answer
Therefore, the correct answer is (C): Either I or II is sufficient to answer the question.

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 -
Question: How many pages of book X did Robert read on Sunday ?
Statements:
I.
The book has 300 pages out of which two-thirds were read by him before Sunday.

II.Robert read the last 40 pages of the book on the morning of Monday.
  • 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
Correct answer is option 'B'. Can you explain this answer?

Madhavan Kulkarni answered
From I and II, we find that Robert read (300 x 2/3) i.e. 200 pages before Sunday and the last 40 pages on Monday.
This means that he read [300 - (200 + 40)] i.e. 60 pages on Sunday.

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 -
 
Question: How many speeches were delivered in the two days' programme ?
Statements:
I.
18 speakers were invited to give at least one speech (maximum of two speech), out of which one-sixth of the speakers could not come.

II.One-third of the speakers gave two speeches each.
 
 
  • 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
Correct answer is option 'E'. Can you explain this answer?

Nidhi Rane answered
From I, we find that number of speakers who attended programme =18-(1/6) of 18 = 15.
From II, we find that one-third of 15 i.e. 5 speakers gave 2 speeches each, while each of the remaining 10 speakers delivered only one speech.
So, total number of speeches delivered = (5 x 2 + 10 x 1) = 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: Which word in the code language means 'flower' ?
Statements:
I.
'de fu la pane' means 'rose flower is beautiful' and 'la quiz' means 'beautiful tree'.

II.'de la chin' means 'red rose flower' and 'pa chin' means 'red tea'.
  • a)
    I alone is sufficient while II alone is not sufficient
  • b)
    Neither I nor II is sufficient
  • c)
    Either I or II is sufficient
  • d)
    II alone is sufficient while I alone is not sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'D'. Can you explain this answer?

Nikhil Goyal answered
To determine which word in the code language means 'flower,' let's analyze the statements.
Statements
Statement I:
'de fu la pane' means 'rose flower is beautiful'
'la quiz' means 'beautiful tree'
Statement II:
'de la chin' means 'red rose flower'
'pa chin' means 'red tea'
Analysis
Statement I Analysis:
  • From 'de fu la pane' = 'rose flower is beautiful', we can identify the words for 'rose', 'flower', 'is', and 'beautiful'.
  • From 'la quiz' = 'beautiful tree', we can identify the words for 'beautiful' and 'tree'.
  • Thus, we have the common word 'la' which appears in both statements, indicating it could be 'beautiful'.
Combining this, we can deduce:
  • 'de' might be 'rose' or 'flower'
  • 'fu' might be 'rose' or 'flower'
  • 'pane' might be 'is' or 'beautiful'
  • 'quiz' means 'tree'
  • 'la' means 'beautiful'
From these deductions, 'flower' can be identified if we compare it with 'de' or 'fu'. But we do not have enough information to exactly determine which one is 'flower'.
Statement II Analysis:
  • From 'de la chin' = 'red rose flower', we have:
    • 'de' = 'red'
    • 'la' = 'rose' (by elimination, because 'chin' has to be 'flower')
  • From 'pa chin' = 'red tea':
    • 'pa' = 'tea'
    • 'chin' = 'red'
Here, 'chin' seems to be 'red', and 'de' is 'flower' which is consistent with the given data.
Since 'chin' = 'red' and 'de' = 'flower', we have clearly identified 'de' as 'flower'.
Conclusion
Statement II alone is sufficient to determine that 'de' means 'flower'.
Statement I alone does not provide sufficient information to identify the word for 'flower' precisely.
Thus, the correct answer is:
(D) 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.

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 mark the appreciate answer.
Question: B is the brother of A. How is A related to B?
Statements:
I. 
A is the sister of C.

II. E is the husband of A.
  • 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
Correct answer is option 'C'. Can you explain this answer?

Ayush Rane answered
B is A's brother means A is either brother or sister of B. Now, each one of I and II individually indicates that A is a female, which means that A is B's sister.
So Option C is correct

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 -
 
Question: On which day of the week did Hitesh visit the zoo ?
Statements:
I.
Hitesh did not visit zoo either on Tuesday or on Thursday.

II.Hitesh visited zoo two days before his mother reached his house which was day after Monday.
 
 
  • 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
Correct answer is option 'B'. Can you explain this answer?

Janhavi Chopra answered
According to I, Hitesh visited the zoo on any of the week days except Tuesday and Thursday.
According to II, Hitesh's mother reached his house day after Monday i.e. on Tuesday.
Thus, Hitesh visited zoo two days before Tuesday i.e. on Sunday.

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 -
 
Question: 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)
    Either I or II is sufficient
  • d)
    Neither I nor II is sufficient
  • e)
    Both I and II are sufficient
Correct answer is option 'E'. Can you explain this answer?

Shreya Rane answered
Analysis:

Statement I:
- The code "nop" means "They".
- The code "al" means "like".
- The code "ed" means "flowers".
- From this statement alone, we can determine the meaning of the word "flowers" as "ed".

Statement II:
- The code "al" means "like".
- From this statement alone, we can determine the meaning of the word "flowers" as "roses".

Combined Analysis:
- By combining both statements, we can see that the word "al" has the same meaning in both statements, which is "like".
- However, statement I provides the code for "flowers" as "ed", while statement II does not provide the code for "flowers".
- Therefore, we need both statements together to determine that the code word for "flowers" is "ed".
Therefore, the correct answer is (E) Both I and II are sufficient.

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.
Correct answer is option 'C'. Can you explain this answer?

S.S Career Academy answered

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 mark the appreciate answer.
Question: How is X related to Y?
Statements:
I. 
Y says, "I have only one brother".

II. X says, "I have only one sister".
  • 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
Correct answer is option 'D'. Can you explain this answer?

Nandita Dasgupta answered
Explanation:

Statement I:
Y says, "I have only one brother."
- This statement indicates that Y is male and has only one brother. However, it does not provide any information about X or the relationship between X and Y.

Statement II:
X says, "I have only one sister."
- This statement indicates that X is female and has only one sister. Similar to Statement I, this statement alone does not provide any information about Y or the relationship between X and Y.

Combined:
- When we combine both statements, we can deduce that X is female and has only one sister, while Y is male and has only one brother. However, we still cannot determine the exact relationship between X and Y. They could be siblings, cousins, or even unrelated.
Therefore, the data given in both statements I and II together are not sufficient to answer the question of how X is related to Y. Hence, the correct answer is option (D) Neither I nor II is sufficient.

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 -
 
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
Correct answer is option 'E'. Can you explain this answer?

Gayatri Kulkarni answered
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.

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 -
 
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
Correct answer is option 'B'. Can you explain this answer?

Amar Chavan answered
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.

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 -
 
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
Correct answer is option 'C'. Can you explain this answer?

Aman Roy answered
Statement Analysis:

Statement I:
- Sulekha's husband is the only son of Nandini's mother.
- From this statement, we can infer that Sulekha is Nandini's sister-in-law as her husband is the only son of Nandini's mother.

Statement II:
- Sulekha's brother and Nandini's husband are cousins.
- This statement implies that Sulekha and Nandini are related through marriage, as Sulekha's brother is related to Nandini's husband.

Explanation:
- Combining both statements, it is clear that Sulekha is Nandini's sister-in-law, and they are related through marriage.
- Therefore, either Statement I or Statement II alone is sufficient to determine that Sulekha is related to Nandini.
- Hence, the correct answer is option (C) either I or II is sufficient.

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 -
 
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
Correct answer is option 'A'. Can you explain this answer?

Athira Sen answered
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.

Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.
X, Y and Z are integers. Is X an odd number?
I. An odd number is obtained when X is divided by 5.
II. X + Y is an odd number.
  • a)
    Choose this option if the Question can be answered by one of the Statements alone but not by the other.  
  • b)
    Choose this option if the Question can be answered by either Statement alone.
  • c)
    Choose this option if the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.  
  • d)
    Choose this option if the Question cannot be answered even by using both Statements together.
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Anjana Singh answered
X, Y and Z are integers.
From statement I:
An odd number is obtained when X is divided by 5.
⇒ X/5 = odd number
We know, 5 is an odd number
Thus, X = 5 × (odd number)
We know that, whenever any odd number is multiplied by any other odd number, it gives an odd number.
Hence, X is an odd number
∴ the data in statement I alone is sufficient to answer the question
From statement II:
(X + Y) is an odd number.
Here, the following cases arise which can make (X + Y) odd:
X : even and Y: odd
Or
X : odd and Y : even
Thus, we cannot determine if X is an odd number or not; hence statement II alone is not sufficient to answer the question.
∴ 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.

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 -
 
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
Correct answer is option 'E'. Can you explain this answer?

Janhavi Nambiar answered
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.

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 -
 
Question: How is M related to N?
Statements:
I.
P, who has only two kids, M and N, is the mother-in-law of Q, who is sister-in-law of N.

II.R, the sister-in-law of M, is the daughter-in-law of S, who has only two kids, M and N.
 
 
  • 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
Correct answer is option 'A'. Can you explain this answer?

Mainak Malik answered
From I, we conclude that P is the mother of M and N, while Q is the daughter-in-law of P and sister-in-law of N. Thus, Q is M's wife and hence, M is N's brother.
From II, we conclude that M and N are the children of S. Also, R is the daughter-in-law of S and sister-in-law of M. So, R is N's wife and thus, N is M's brother. Hence, M is either brother or sister of N.

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 -
 
Question: Among M, N, D, P and K, who earns more than only the least earner among them ?
Statements:
I.
N earns more than M and P but less than only D.

II.M earns more than P who earns less than K.
 
 
  • 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
Correct answer is option 'D'. Can you explain this answer?

Sinjini Dasgupta answered
From I, we have: N > M, N > P, D > N. Thus, we have: D > N > M > P or D>N> P>M.
But, from II, M earns more than P i.e. D > N > M > P. Also, since P earns less than K and N earns less than only D, so we have: D>N>K>M>P or D>N>M> K > P.
Hence, either K or M earns more than only the least earner i.e. P.

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 -
 
Question: How many employees of Bank Z opted for VRS ?
Statements:
I.
18% of the 950 officer cadre employees and 6% of the 1100 other cadre employees opted for VRS.

II.28% of the employees in the age-group of 51 to 56 and 17% of the employees in all other age-groups opted for VRS.
 
 
  • 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
Correct answer is option 'A'. Can you explain this answer?

Nisha Dasgupta answered
From I, we have: number of employees who opted for VRS = 18% of 950 + 6% of 1100 = 171 + 66 = 237.
From II, we cannot get the required answer until and unless the number of employees in age-group 51 to 56 and other age-groups is known.

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 mark the appreciate answer.
Question: The last Sunday of March, 2006 fell on which date?
Statements:
I. 
The first Sunday of that month fell on 5th.

II. The last day of that month was Friday.
  • 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
Correct answer is option 'C'. Can you explain this answer?

Madhurima Dey answered
From I, we conclude that 5th, 12th, 19th and 26th of March, 2006 were Sundays.
So, the last Sunday fell on 26th.
From II, we conclude that 31st March, 2006 was Friday. Thus, 26th March, 2006 was the last Sunday of the month.
So Option C is correct

Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.
Question: Is a number T divisible by 144?
Statements: 
I. T is a multiple of 216.
II. T is divisible by square of cube of 2.
  • a)
    Choose this option if the Question can be answered by one of the Statements alone but not by the other.  
  • b)
    Choose this option if the Question can be answered by either Statement alone.
  • c)
    Choose this option if the Question can be answered by using both Statements together, but cannot be answered by using either Statement alone.  
  • d)
    Choose this option if the Question cannot be answered even by using both Statements together.
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Vinod Mehta answered
From statement I:
If T is multiple of 216, then T can be 216 which is not divisible by 144 or T can be 432 which is divisible by 144. So, divisibility of T with 144 cannot be uniquely established.
∴ Statement I alone is not sufficient to answer the question.
From statement II:
T is divisible by square of cube of 2.
Square of cube of 2 = (2 × 2 × 2)2 = 64
⇒ T is a multiple of 64.
So, T can be 192 which is not divisible by 144 or T can be 576 which is divisible by 144. So, divisibility of T with 144 cannot be uniquely established.
∴ Statement II alone is not sufficient to answer the question.
From statements I and II together:
T is divisible by square of cube of 2.
Square of cube of 2 = (2 × 2 × 2)2 = 64
⇒ T is a multiple of 64.
Also, T is a multiple of 216.
⇒ T will be a multiple of LCM(216, 64).
⇒ T will be a multiple of 1728.
We know, 1728 = 144 x 12.
If T is divisible by 1728, it would be divisible by all its factors.
∴ T will be divisible by 144.
∴ Using both the statements together, we can answer the given question.

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 -
 
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
Correct answer is option 'C'. Can you explain this answer?

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

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 doctors are practising in this town ?
Statements:
I.
There is one doctor per seven hundred residents.

II.There are 16 wards with each ward having as many doctors as the number of wards.
  • 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
Correct answer is option 'B'. Can you explain this answer?

Sandeep Ghoshal answered
From I, total number of doctors in town = (1/700 x N) , where N = total number of residents in town. But, the value of N is not known.
From II, total number of doctors in town
= (Number of wards in town) x (Number of doctors in each ward)
= 16 x 16 = 256.
So Option B is correct

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 -
 
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
Correct answer is option 'D'. Can you explain this answer?

Manasa Sarkar answered
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.

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 -
 
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
Correct answer is option 'C'. Can you explain this answer?

Lakshmi Nair answered
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'.

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 -
Question: What is the code for 'sky' in the code language ?
Statements:
I.
In the code language, 'sky is clear' is written as 'de ra fa'.

II.In the same code language, 'make it clear' is written as 'de ga jo'.
  • 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
Correct answer is option 'D'. Can you explain this answer?

Arshiya Bose answered
The only word common to I and II is 'clear' and as such, only the code for 'clear' can be ascertained from the given information.

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 -
 
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
Correct answer is option 'D'. Can you explain this answer?

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

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 -
 
Question: How many gift boxes were sold on Monday ?
Statements:
I.
It was 10% more than the boxes sold on the earlier day i.e. Sunday.

II.Every third visitor to the shop purchased the box and 1500 visitors were there on Sunday
 
 
  • 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
Correct answer is option 'E'. Can you explain this answer?

Ankita Yadav answered
From II, we can conclude that (1500 * 3) = 500 boxes were sold on Sunday.
Thus, from I, we find that number of boxes sold on Monday = 500 + 10% of 500 = 550.

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 -
 
Question: What is the numerical code for 'water' in a certain code ?
Statements:
I.
The code for 'give me water' is '719'.

II.The code for 'you can bring water for me' is written as '574186'.
 
 
  • 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
Correct answer is option 'D'. Can you explain this answer?

Jaya Gupta answered
In I and II, the common words are 'me' and 'water' and the common code numbers are '7' and '1'. So, the code for 'water' is either '7' or '1'.

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