Two Statements Based Data Sufficiency

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.

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

(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 are 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 value of the sales of the $ABC$ Company in $1980$?
I. The sales of the ABC Company increased by ₹ $1,00,000$ each $\mathrm{year}$ form$1970$  to $1980$.
II. The value of the sales of the $ABC$ Company doubled between $1970$ and $1980$.

In the question, two statements numbered A and B given below it. You have to decide whether the data provided in the statements are sufficient/necessary to answer the question. Read both the statements and give an answer. 

(A) If the data in statement I alone is 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 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 the rate of compound interest on a sum of money?
A. The total compound interest at the end of  $2 \mathrm{years}$ is ₹ 820.
B. The total simple interest at the same rate on ₹ $5000$ at the end of three years is ₹ $750$.

In the following question, 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 answer.
(A) If the data in statement I alone is 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 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. 

Paula and Sandy were among those people who sold raffle tickets to raise money for Club $X$. If Paula and Sandy sold a total of $100$ of the tickets, how many of the tickets did Paula sell?

I.  Sandy sold as many of the raffle tickets as Paula did. 
II.  Sandy sold $8\%$ of all the raffle tickets sold for Club $X$. 

In the following question, two statements numbered P and Q given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give an answer.

(A) If the data in statement P alone is sufficient to answer the question, while the data in statement Q alone is not sufficient to answer the question.
(B) If the data in statement Q alone is sufficient to answer the question, while the data in statement P alone is not sufficient to answer the question.
(C) If the data either in statement P alone or in statement Q alone is sufficient to answer the question.
(D) If the data in both the statement P and Q together are not sufficient to answer the question.
(E) If the data in both the statements P and Q together are necessary to answer the question.

A gold ring weighs $1 \mathrm{gram}$. The ring is not pure gold but is mixed with copper. What is the value of the metal in the ring?
P. Gold is worth ₹ $350$ $\mathrm{per}$ $\mathrm{gram}$.
Q. $50\%$ of the ring is due to copper.

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.

In the following question, two statements numbered P and Q given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give an answer.

(A) If the data in statement P alone is sufficient to answer the question, while the data in statement Q alone is not sufficient to answer the question.
(B) If the data in statement Q alone is sufficient to answer the question, while the data in statement P alone is not sufficient to answer the question.
(C) If the data either in statement P alone or in statement Q alone is sufficient to answer the question.
(D) If the data in both the statement P and Q together are not sufficient to answer the question.
(E) If the data in both the statements P and Q together are necessary to answer the question.

How many minutes does the clock lose a day?
P. The clock reads $6: 00$  when it is really $5: 48$.
Q. The clock is $40 \sec .$ fast each $\mathrm{hour}$.

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. Read both the statements and 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.

What is the cube root of $w$?
l. The$5^{\mathrm{th}}$ root of $w$ is $64$.
ll. The ${15}^{\mathrm{th}}$root of $w$ is $4$ .

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

(A) If the data in statement I alone is 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 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 $R$'s share of profit in a joint venture of $P$, $Q$ and $R$?

I. $Q$ started a business investing ₹ $80,000$. $R$ joined him after $3 \mathrm{months}$.
II. $P$ joined after $4 \mathrm{months}$ with a capital of ₹ $1,20,000$ and got ₹ $6000$ as his share profit.

In the following question 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 is not sufficient to answer the question.
(E) If the data in both the statements I and II together is necessary to answer the question.

How many chocolates can Sheena buy if she has to spend $20\%$ of her budget on vegetables and $30\%$ on groceries $?$
I. Sheena has ₹$50$ with her.
II. Each chocolate costs $₹0.50$.

In the question, two statements numbered P and Q given below it. You have to decide whether the data provided in the statements are sufficient/necessary to answer the question. Read both the statements and give an answer.

(A) If the data in statement P alone is sufficient to answer the question, while the data in statement Q alone is not sufficient to answer the question. 
(B) If the data in statement Q alone is sufficient to answer the question, while the data in statement P alone is not sufficient to answer the question. 
(C) If the data either in statement P alone or in statement Q alone is sufficient to answer the question. 
(D) If the data in both the statement P and Q together are not sufficient to answer the question. 
(E) If the data in both the statements P and Q together are necessary to answer the question. 

What was the speed of a running train $A$?
P. The relative speed of train A and another train $B$ running in the opposite direction is $160 \mathrm{km}/\mathrm{hr}$.
Q. Train $B$ crosses a signal post in $9 \sec$.

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 will be the average weight of the remaining class ?
I. Average weight of $30$ children out of total $46$ in the class is $22.5 \mathrm{kg}$ and that of the remaining children is $29.125 \mathrm{kg}$. A child having weight more than $40 \mathrm{kg}$is excluded.
II. Average weight of a class of $46$ children are $23.5 \mathrm{kg}$. A child weighting $46 \mathrm{kg}$ is dropped out.

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.

Is (x + y)² < (x² + y²) ?
I. xy < 0
II. x² < y²

In the question, two statements numbered P and Q given below it. You have to decide whether the data provided in the statements are sufficient/necessary to answer the question. Read both the statements and give an answer.

(A) If the data in statement P alone is sufficient to answer the question, while the data in statement Q alone is not sufficient to answer the question. 
(B) If the data in statement Q alone is sufficient to answer the question, while the data in statement P alone is not sufficient to answer the question. 
(C) If the data either in statement P alone or in statement Q alone is sufficient to answer the question. 
(D) If the data in both the statement P and Q together are not sufficient to answer the question. 
(E) If the data in both the statements P and Q together are necessary to answer the question. 

How many minimum marks will be required to pass an examination?
P. Student $A$ secured $32\%$ marks in that examination and he failed by $1$ mark. Student $B$ secured $36\%$ marks in the same examination and his marks were $1$ more than the minimum pass marks.
Q. Student $A$ secured $30\%$ of full marks in the examination and he failed by $2$ marks. If he had secured $5$ more marks his $\%$ of marks would have been $40\%$.

In the following question, two statements numbered P and Q given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give an answer.38

(A) If the data in statement P alone is sufficient to answer the question, while the data in statement Q alone is not sufficient to answer the question.
(B) If the data in statement Q alone is sufficient to answer the question, while the data in statement P alone is not sufficient to answer the question.
(C) If the data either in statement P alone or in statement Q alone is sufficient to answer the question.
(D) If the data in both the statement P and Q together are not sufficient to answer the question.
(E) If the data in both the statements P and Q together are necessary to answer the question.

How many words are listed in the $1280$ pages dictionary?
P. Page $387$ lists $50$words.
Q. There are $2000$ words listed under '$A$'.

In the following question, there are two statements given. 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.

Is Amrita's age now is greater than Brinda's age ?
I. Amrita is twice as old as she was $10 \text{years}$ ago.
II. Brinda is half as old as she will be in$10 \text{years}$.

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

(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 are 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.

If both the conveyor belts $A$ and $B$ are used, then they can fill a hopper with iron ore in $1 \mathrm{hour}$. How long will it take for conveyer belt $A$ to fill the hopper without a conveyer belt $B$?
I. Conveyer belt $A$ moves $\mathrm{twice}$ as much iron ore as a conveyer belt $B$.
II. Conveyer belt $B$ would take more than $3 \mathrm{hours}$ to fill the hopper without belt $A$.

The following question is followed by three statement A , B and C .You have to decide which statement is / are sufficient to answer the question and choose the choice given below accordingly:
(a) A, B and C together are necessary.
(b) Either A and B together or A and C together are necessary.
(c) Either A or B or C is sufficient.
(d) Only A and B together are sufficient.
(e) None of these is sufficient.

What will be the time taken by two trains to cross $600 \text{m}$ long platform?
A. Their speeds are $80\text{ km/h}$ and $85\text{ km/h}$ and they were running in opposite direction.
B. The lengths of the train are $200 \text{m}$ and $220 \text{m}$.
C. The train will cross each other in $15 \text{seconds}$.

In the question, two statements numbered A and B given below it. You have to decide whether the data provided in the statements are sufficient/necessary to answer the question. Read both the statements and give an answer.

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

How many boys are there in the class?
A. The class has total $45$ children and the ratio of boys to girls is $4 : 5$.
B. The ratio of girls to boys is $4 : 5$ and boys are $9$ more than the girls.

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. Read both the statements and 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.
If $i$ and $j$ are integers, is $i+j$ an even integer?

l. $i<10$.

ll. $i=j$.