In a family there are $6$ members, $P, Q, R, S, T$ and $U$. Find the present age of $U$.

$\mathrm{I})$ The average age of six family members is $32 \mathrm{years}$.

$\mathrm{II})$ The total age of $P, Q, R$ and $S$ is $110 \mathrm{years}$.

$\mathrm{III})$ The present age of $T$ is $16 \mathrm{years}$ less than the age of $U$.

Some statements have given and based upon those, some conclusions have also been given.

• Some stones are rocks,
• Some rocks are diamond,
• Some diamonds are gems

Conclusion: I. Some gems are stones

II. Some diamonds are stones

Read the question below and decide which statement/s is/ are sufficient to answer the question.

Question:

Mridual has four almirahs and 24 books. She wants to organize her books. How many books can be kept in one almirah?

Statement:

1. In shelf one twice the number of books can be kept in comparison to shelf two.

2. 12 books can be kept in shelf four.

3. Only 6 books can be kept in shelf three.

You have a question followed by two statements. Which of the following statement(s) is/ are required/sufficient to answer the question ?

Question : What is the total weight of 20 boxes of vegetables ? Each of them is of equal weight.

I. Of 10 boxes, one third of each box weighs 10kg. 

II. Total weight of 6 boxes is 60kg more than that of 4 boxes.

Identify the correct conclusion for the given statement.

Statement: Some keys are staplers. Some staplers are stickers. All the stickers are pens.
Conclusions:
I. Some pens are staplers.
II. Some stickers are keys.
III. No sticker is key.
IV. Some staplers are keys

A river flows along the East-West direction. On a particular day in the morning Kisku was seen at a place ‘$A$’ located on the northern side of the river and on the same evening he was seen at a place ‘$B$’ located on the southern side of the river. Following are the comments made by four friends – Paulomi, Mimee, Sabeena and Grayson.

$I$. Paulomi said, Kisku must have crossed the river only once.

$II$. Sabeena said, Kisku might have crossed the river four times.

$III$. Mimee said, he might have crossed it five times.

$IV$. Grayson said, he might have crossed it any number of times.Choose the correct alternative from the following:

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 Give answer.

Did X lose the golden chain in school? 

I. The children need not wear jewellery in school. 

II. X had worn the golden chain in the morning. 

A comparison of marks scored by Gauri, Aaban, Seerat and Alvina in an examination is as follows

$\mathrm{I}.$ Gauri has scored $15$ marks less than Aaban.

$\mathrm{II}$. Gauri has scored $20$ marks more than Seerat.

$\mathrm{III}.$ Alvina has scored $10$ marks less than Seerat.

To decide who has scored the highest marks, identify the statement from those given in the alternatives in respect of sufficiency of data.

Direction: Take the given statements as true though in reality they may not be so and decide which of the conclusions logically follow from the statements?

Statements:

$1.$  All the cucumbers are carrots.

$2.$Some carrots are brinjals.

$3.$ All the brinjals are tomatoes.

Conclusions:

$I.$Some tomatoes are carrots.

$II.$ All the carrots are tomatoes.

$III.$Some brinjals are cucumbers.

$IV.$ All the brinjals are cucumbers.

How many of the given statements are required to answer the given question:

Five persons- $A,B,C,D$ and $E$ are sitting in a row. Who is sitting in the middle?

$\mathrm{I}.$ $B$ is between $E$ and $C$

$\mathrm{II}.$ $B$ is to the right of $E$

$\mathrm{III}.$ $D$ is between $A$ and $E$

Fact 1: Most stuffed toys are stuffed with beans.

Fact 2: There are stuffed bears and stuffed tigers.

Fact 3: Some chairs are stuffed with beans.

If the first three statements are facts, which of the following statements must also be a fact?

$\mathrm{I}:$ Only children's chairs are stuffed with beans.

$\mathrm{II}:$ All stuffed tigers are stuffed with beans.

$\mathrm{III}:$ Stuffed monkeys are not stuffed with beans.

The question given below has a problem and two statements numbered $\mathrm{I}$ and $\mathrm{II}$ giving certain You have to decide if the information given in the statements is sufficient for answering the problem

What day is the fourteenth of a given month?

$\mathrm{I}.$ The last day of the month is a Wednesday.

$\mathrm{II}.$ The third Saturday of the month was the seventeenth.

A water tank has been fitted with two taps $P$ and $Q$ and a drain pipe $R$. Taps $P$ and $Q$ fill at the rate of $12$ $\mathrm{litres}/\min$  and $10$$\mathrm{litres}/\min$ respectively.
Consider the following statements $S1, S2$ and $S3$-
$S1$: Pipe $R$ drains out at the rate of $6$ $\mathrm{litres}/\min$.
$S2$: If both the taps and the drain pipe are opened simultaneously, then the tank is filled in $5 \mathrm{hr} 45 \min$.
$S3$: Pipe $R$ drains out (fully) the filled tank in $15 \mathrm{hr} 20 \min$.
To know what is the capacity of the tank, which one of the following is correct?

How many statements are required to answer the given question?

In which year was Sanjay born?

I. Sanjay is six years older than Gopal.

II. Gopal’s brother was born in $1982.$

III. Sanjay’s brother is two years younger than Gopal’s brother who was eight years younger than Gopal.