Data Sufficiency

The following questions are accompanied by three statements. You have to determine which statement (s) is/are sufficient/ necessary to answer the question.

What is the area of the rectangle?
$\mathrm{A}.$ Perimeter of the rectangle is $80 \mathrm{m}$.
$\mathrm{B}.$ The total cost of flooring the rectangle at $₹2 \mathrm{per} {\mathrm{m}}^2$.
$\mathrm{C}.$ Breadth of the rectangle is $15 \mathrm{m}$.

The question given below contains two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question.

Who is sister of $5$?
$\mathrm{I}.$ P is brother of $3$ and $4$.
$\mathrm{II}.$ $4$ is daughter of $6$ and is sister of $5$'s daughter.

Directions: Each question given below has a problem and two statements numbered I and II giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem. Indicate your answer as:

(a) if the data in statement I alone are sufficient to answer the question
(b) if the data in statement II alone are sufficient to answer the question
(c) if the data either in I or II alone are sufficient to answer the question
(d) if the data even in both the statements together are not sufficient to answer the question and
(e) if the data in both statements I and II are needed to answer the question.

In the last month, the company decided to increase the price of its mixer by $10$$\%$. What is the present price of the mixer?
I. The cost of mixer and juicer together was, $₹$$2850$ a month ago.
II. The amount of, $10\%$ increase on the mixer comes to $₹$$220$.

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question?

Who is a better artist- Mohanti or Banerjee (on the basis of purchase)?

$\mathrm{I}.$ Mohanti had more art exhibitions.
$\mathrm{II}.$ The number of paintings sold by Banerjee is more.

The question given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question.

The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question.

What is the ratio of the ages of Reena and Sonam?
$\mathrm{I}.$ $6$ years ago their ages were in the ratio $3:4$.
$\mathrm{II}.$ After $2$ years the younger one's age will be $85\%$ that of the older.
$\mathrm{III}.$ The sum of their ages is three less than twice the age of the older.

Directions: In the following questions 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 is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
(B) If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
(C) If the data either in statement I alone or in statement II alone is sufficient to answer the question.
(D) If the data in both the statement I and II together are not sufficient to answer the question.
(E) If the data in both the statements I and II together are necessary to answer the question.

What was the Number of Tiger in State 'X' in 1999 ?
I. Population of Tigers in State 'X' increases every year by 20%.
II. Population of Tigers in State 'X' in 1999 was 144% of its population in 1997.

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? Give answer-

How many sister does Lakhan have?
I. The only brother of Lakhan' s father has only one niece.
II. The son of the husband of Lakhan's mother, has only one sister.

The questions given below contain two/four statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question.

Is, some $ are .?

(I) Some $ are +.
(II) Some . are $.
(III) All + are ·.
(IV) No + is #.

Directions :
(A) If the data in statement I alone is sufficient to answer the question.
(B) If the data in statement II alone is sufficient to answer the question.
(C) If the data either in statement I alone or statement II alone are sufficient to answer the question.
(D) If the data given in both I and II together are not sufficient to answer the question.
(E) If the data in both the statements I and II together are necessary to answer the question.

What is Meena’s position with respect to Ruby?
I. In a row of $25$ Students,  Meena is sitting ${12}^{th}$ from right end of row and Ruby is sitting ${20}^{th}$ from left end of the row.
II. Meena is 4th from right end and Ruby is, $8^{th}$ from left end.

Each of the question 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.

How is T related to K?
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.

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ?

What is the sum which earned interest?
(I) The total simple interest was $₹7000$ after $4$ years.
(II) The total of sum and simple interest is double of the sum after $5$ years.

Directions: Each of the questions below consists of a question and two statements numbered I and II are 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 data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question.
B. If the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.
C. If the data in Statement I alone or in Statement II alone is sufficient to answer the question.
D. If the data in both the Statements I and II even together is not sufficient to answer the question. Direction
E. If both the Statements I and II together are necessary to answer the question.

Point X is in which direction with respect to Y?
I. Point Z is at an equal distance from both point X and point Y.
II. Walking $5 \mathrm{km}$ to the East of point X and taking two consecutive right turns after walking $5 \mathrm{km}$ before each turn leads to point Y.

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? Mark answer-

(1) If statement I alone is sufficient but statement II alone is not sufficient.72
(2) If statement II alone is sufficient but statement I alone is not sufficient.
(3) If each statement alone (either I or II) is sufficient.
(4) If statement I and II together are not sufficient.
(5) If both statements I and II together are sufficient, but neither statement alone is sufficient.

What is the measure of the diagonal of a rectangle?

I. The length of the rectangle is $9$ m.
II. The area of the rectangle is $72$m².
III. The breadth of the rectangle is $8$m.

Directions :
In the following questions 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 is sufficient to answer the question.
(B) If the data in statement II alone is sufficient to answer the question.
(C) If the data either in statement I alone or statement II alone are sufficient to answer the question.
(D) If the data given in both I and II together are not sufficient to answer the question.
(E) If the data in both the statements I and II together are necessary to answer the question.

The inside of a rectangular carton is 48 centimeters long, 32 centimeters wide, and 15 centimeters high. The carton is filled to capacity with k identical cylindrical cans of fruit that stand upright in rows and columns, as indicated in the figure above. If the cans are 15 centimeters high, what is the value of k ?
(1) Each of the cans has a radius of 4 centimeters.
(2) Six of the cans fit exactly along the length of the carton.

Directions : In each of the following questions, a question followed by two statements numbered I and II are given. You have to read both the statements are then
Give answer
(1) If the data given in statement A alone are sufficient to answer the question whereas the data given in statement B alone are not sufficient to answer the question
(2) If the data given in statement B alone are sufficient to answer the question whereas the data given in statement A alone are not sufficient to answer the question
(3) If the data in either statement A alone or in statement B alone are sufficient to answer the question
(4) If the data in both the statements A and B are not sufficient to answer the question.
(5) If the data given in both the statement A and B are necessary to answer the question

What is the number?
A. The sum of the two digits is $12$. The ratio of the two digits is $3:1.$
B. The product of two digits of a number is $27.$ The quotient of two digits is$3.$

Each of the questions below consists of a question and two statements labelled $1$ and $2$ given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statement and-Give answer-
(A) If the data in statement $1$ alone is sufficient to answer the question.
(B) If the data in statement $2$ alone is sufficient to answer the question.
(C) If the data either in statement $1$ alone or statement $2$ alone are sufficient to answer the question.
(D) If the data given in both $1$ and $2$ together are not sufficient to answer the question.
(E) If the data in both the statements $1$ and $2$ together are necessary to answer the question.

How is COME written in that code ?
$1.$’come and go’ is written as ‘je ta ma’.
$2.$’go back and’ is written as ‘ta sa je’.

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question.
How many children are there in a group?
$\mathrm{I}.$ The average age of children is $15$ $\mathrm{years}$ in this group. The total ages of all children in this group is $240$ $\mathrm{years}$.
$\mathrm{II}.$ The age of all children of this age group and teacher is $264$ $\mathrm{years}$. The teacher's age is $8$ $\mathrm{years}$ more than the average age of children.

The question given below has a problem and two statements numbered I and II giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem. Indicate your answer as:

There were $54$ members of a cooperative society. How many members attended the recent Annual General Meeting (AGM)?
I. Normally two-thirds of members attend the meeting.
II. One-sixth of the members were out of the town on AGM's day.

Each of the following 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.
($1$1) If 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.
($2$) If 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.
($3$) If the data either in statement I alone or in statement II alone are sufficient to answer the question.
($4$) If the data even in both statements I and II together are not sufficient to answer the question.
($5$) If the data in both statements I and II together are necessary to answer the question.

How is 'new' written in a code language?
I. 'new good clothes' is written as '$539$' in that code language.
II. 'good clothes are costly' is written as '$9673$' in that code language.