Three Statements Based Data Sufficiency

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

In a business P, Q, and R work together, what profit Q earns in $2 \mathrm{years}?$

(A) P and Q started a business with the capital in the ratio $3 : 5$ respectively.
(B) R joined them after $6 \mathrm{months}$ with a capital of $₹4 \mathrm{lakh}.$
(C) At the end of $2 \mathrm{years}$ the share of P in the profit was $₹60000.$

Direction: The question given below has a problem and three statements numbered I, II and III giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem.

How is 'Sweet' coded in a code language?
I. 'I love sweet chocolate' is written as 'qa la ti mi' and 'she is sweet girl is written as 'ja ra mi ka'.
II. 'Bright and Sweet' is written as 'zi mi na' and 'who is sweet' is written as 'mi yo di'.

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?

What is the ratio between the present ages of Gautam and his father?

$\mathrm{I}.$ $5 \mathrm{years}$ ago, Gautam's age was $\frac{1}{5}$ of his father's age.
$\mathrm{II}.$ $2 \mathrm{years}$ ago, the sum of ages of Gautam and his father was $36 \mathrm{years}.$
$\mathrm{III}.$ The sum of ages of Gautam's sister, his mother and his father is $62 \mathrm{years}.$

The question below is followed by three statements numbered $\mathrm{I}$, $\mathrm{II}$ and $\mathrm{III}$. You have to decide the data provided in which of the statements is sufficient to answer the question. Choose your answer accordingly.

What is the monthly income of Mr. Sam?

$\mathrm{I}$. Mr. Sam spends $50\%$ of his income on various items and the remaining amount is saved.
$\mathrm{II}$. Monthly savings of Mr. Sam are $₹4500$.
$\mathrm{III}$. Out of the total money spent by Mr. Sam in a month, one-fifth is spent on food and the remaining amount on other items.

The question given below contains 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 measurement of perimeter of a semicircle in $\mathrm{cm}$?

(A) Area of the semicircle is equal to the area of the parallelogram.
(B) Length fo the parallelogram is $1.5$ times of the radius of the semicircle.
(C) The difference of the length and breadth of a parallelogram is $8 \mathrm{cm}.$

This question consists of information provided in three statements. You have to study the question and the statements and decide that information in which of the statement(s) is/are necessary to answer the question.

What is the rate of interest p.c.p.a?

$\mathrm{I}.$ The amount becomes double at the rate of simple interest in $10 \mathrm{years}.$
$\mathrm{II}.$ The difference between compound interest and simple interest on an amount of $₹15000$ for $2 \mathrm{years}$ is $₹150.$
$\mathrm{III}.$ The compound interest after $8 \mathrm{years}$ is more than the principal.

Direction: The question given below has a problem and three statements numbered I, II and III giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem.

Among $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ and $\mathrm{E}$ sitting in a row, facing east, who is exactly in the middle of the line?
I. $\mathrm{D}$ sits third to the left of $\mathrm{B}$. $\mathrm{D}$ is an immediate neighbour of both $\mathrm{A}$ and $\mathrm{E}$.
II. Two people sit between $\mathrm{E}$ and $\mathrm{C}$. $\mathrm{C}$ does not sit at either of the extreme ends. $\mathrm{A}$ sits second to the right of $\mathrm{E}$.

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?

In how many days will $8$ men and $4$ women complete a work?

$\mathrm{I}.$ $10$ men complete the same work in $8 \mathrm{days}.$
$\mathrm{II}.$ $8$ women complete the same work in $20 \mathrm{days}.$
$\mathrm{III}.$ $5$ women complete the same work in $32 \mathrm{days}.$

The question below is followed by three statements numbered $\mathrm{I}$, $\mathrm{II}$ and $\mathrm{III}$. You have to decide the data provided in which of the statements is sufficient to answer the question. Choose your answer accordingly.

How old is Rohit in $1997$?

$\mathrm{I}$. Rohit is $11 \mathrm{yrs}$ younger than Anil, whose age will be a prime number in $1998$.
$\mathrm{II}$. Anil's age was a prime number in $1996$.
$\mathrm{III}$. Rohit's age was a prime number in $1995$.

In an examination a minimum marks is to be scored in each of the $8$ subjects for passing. In how many ways a student can fail?

Direction: The question given below has a problem and three statements numbered I, II and III giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem.

Aayana is in which direction with respect to Ritu?
I. Manav is to the south of Ritu and Aayana is to the east of Pihu who is to the north of Manav.
II. Pihu is to the south of Ritu.
III. Pihu is to the west of Tilak.

The following question is accompanied three statement $\mathrm{I}, \mathrm{II} \mathrm{and} \mathrm{III}.$ You have to determine which statement (s) is/are necessary/sufficient to answer the question?

A man can row a distance of $y \mathrm{km}$ upstream in $4 \mathrm{hours}.$ Find his speed in still water.

$\mathrm{I}.$ The speed of current is $1.5 \mathrm{km}/\mathrm{hr}.$
$\mathrm{II}.$ He covers a distance of $60 \mathrm{km}$ downstream in $5 \mathrm{hours}.$
$\mathrm{III}.$ He covers the distance of $y \mathrm{km}$ downstream in $3 \mathrm{hours}.$

The question below is followed by three statements labelled $\mathrm{I}, \mathrm{II} \mathrm{and} \mathrm{III}.$ You have to consider the information in all the three statements and decide which of the statements is/are necessarily required to answer the question. Indicate your answer accordingly.

What is the marked price of the article?

$\mathrm{I}.$ Cost price of the article is $₹500.$
$\mathrm{II}.$ Selling price after offering $5\%$ discount on the marked price is $₹608.$
$\mathrm{III}.$ Profit earned would have been $28\%$ if no discount was offered.

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?

What is the ratio between the present ages of Gautam and his father?

$\mathrm{I}.$ $5 \mathrm{years}$ ago, Gautam's age was $\frac{1}{5}$ of his father's age.
$\mathrm{II}.$ $2 \mathrm{years}$ ago, the sum of ages of Gautam and his father was $36 \mathrm{years}.$
$\mathrm{III}.$ The sum of ages of Gautam's sister, his mother and his father is $62 \mathrm{years}.$

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 $15 \text{seconds}$.

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?

In how many days will $8$ men and $4$ women complete a work?

$\mathrm{I}.$ $10$ men complete the same work in $8 \mathrm{days}.$
$\mathrm{II}.$ $8$ women complete the same work in $20 \mathrm{days}.$
$\mathrm{III}.$ $5$ women complete the same work in $32 \mathrm{days}.$

This question consists of information in three statements.You have to study the question and the statements and decide that information in which of the statement(s) is/are necessary to answer the question.

What is the speed of the train?

$\mathrm{I}.$ The length of the train is $240 \mathrm{m}.$
$\mathrm{II}.$ The train crosses a pole in $24 \mathrm{seconds}.$
$\mathrm{III}.$ The train crosses a platform in $48 \mathrm{seconds}.$

Each of these questions consists of a question followed by information in three statements. You have to study the question and statements and decide that information in which of the statements is/are necessary to answer the question?

What is the capacity of the cylindrical tank?
$\mathrm{I}$. The radius of the base is half of its height.
$\mathrm{II}$. The area of the base is $380.13 {\mathrm{m}}^2$.
$\mathrm{III}$. Height of the cylindrical tank is $22 \mathrm{m}$.

Each of the following questions consists of a question followed by three statements. You have to study the questions and statements and decide, which of the statement (s) is/are necessary to answer the questions.

How many articles are sold?
$\mathrm{I}$. The total profit obtained is ₹1596.
$\mathrm{II}$. The cost price per article is ₹632.
$\mathrm{III}$. The selling price per article is  ₹765.

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.

X and Y entered into a partnership. What is share of X's profit?
$\mathrm{I}.$ The ratio of capitals of X and Y is $3:5$.
$\mathrm{II}.$ X invested his money for $2$ $\mathrm{months}$ more than Y.
$\mathrm{III}.$ Y's share in the total profit is$₹1000$  less than the share of X.