Arun gave a portion of the money to Gopal. Gopal in turn gave $40\%$ of what he got from Arun to Dinesh. How much money did Dinesh get? To find out the answer, which of the following information’s given in statements $\left(\mathrm{P}\right)$ and $\left(\mathrm{Q}\right)$ is/are sufficient.
$\mathrm{P}:$ Arun had $₹4,000$ with him.
$\mathrm{Q}:$  The difference between the amounts of Gopal and Dinesh was $₹500$.

In the following questions, the question is followed by two Statements (i) and (ii). You have to determine whether.

Only statement (i) is sufficient to answer the question.

Only statement (ii) is sufficient to answer the question.

Both statement (i) and statement (ii) are needed to answer the question.

Neither statement (i) nor statement (ii) is sufficient to answer the question.

What is the date today?

Statements:

(i) We are in third week of April.

(ii) The date today is an even number.

Given below is a question followed by two statements. Which option provides the right condition for answering the question? In which year was Jitan born?

I. Jitan is $25$ years younger to his mother.
II. Jitan' s brother was born in $1994$ is $35$ years younger to his mother.

What is the two-digit number?

Statements:

(i) Both the digits of the two-digit number are even and the sum of their digits is $12$.

(ii) The two digits of the two-digit number are not the same.

Consider the following statements :

$1.$ The sum of any two sides of a triangle is less than twice the median drawn to the third side.

$2.$ The perimeter of a triangle is greater than the sum of the three medians.

Which of the above statements is/are correct?

Find the number of boys and number of girls in a row.

a. if the data is 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 is 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 even in both statement I and II together are not sufficient to answer the question.

e. if the data even in both statement I and II together are necessary to answer the question.

Consider a question and two statement:

Question:

Is $3\mathrm{x}+2\mathrm{y}$ Positive?

Statement-I :

${\mathrm{x}}^3=-29.8$

Statement II:

${\mathrm{y}}^3=3\mathrm{x}$

Who is the tallest amongst the four friends Vaibhav, Rohan, Vivek and Parth?

Statements:

(i) Rohan is not the tallest but taller than Vivek and Vaibhav.

(ii) Vivek is the shortest amongst the four friends.

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.

To calculate the average rainfall in the second week of August $2018$ in Bangalore, the following data is given. Decide whether the data given is sufficient.

I. The average rainfall of first four days of the week is $147 \mathrm{mm}$.

II. The average rainfall of last three days of the week is $133 \mathrm{mm}$.

What is the two-digit number?

Based on the following statements, select the correct option:

Statements:

(i) Both the digits of the two-digit number are even and the sum of their digits is $12$.

(ii) The two digits of the two-digit number are not the same.

Consider a question and two statements :

Question:

Does the equation ${\mathrm{ax}}^2+\mathrm{bx}+\mathrm{c}=0$ have real roots opposite sign?

Statements-I : The discriminant $\mathrm{D}>0$ 

Statements-II : $\frac{c}{a}>0$

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

Who sits immediate to the left of Ravi, who is sitting in a row. All the persons who are sitting in that row are facing towards North direction?
I. There are only two persons sitting between Sahil and Geeta. More than three persons sit to the left of Geeta.
II. Not more than 8 persons can sit in a row. Ravi sits second to the left of Sahil. Divya sits 6 places away from Geeta.

a. if the data is 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 is 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 even in both statement I and II together are not sufficient to answer the question.
e. if the data even in both statement I and II together are necessary to answer the question.

Consider a question and two statements :

Question:

Is $\frac{x^6+y^6}{x^4+y^4}$ always greater than $\frac{x^4+y^4}{x^2+y^2}(x\ne y\ne 0)$?

Statement-I : $\mathrm{x}>\mathrm{y}$

Statement-II : $x^2+y^2>2xy$

Which one of the following is correct in respect of the question and the statements?

Consider the following statements:

$1.$ Of two consecutive integers, one is even.

$2$. Square of an odd integer is of the form $8n+1$.

Which of the above statements is/ are correct?

Consider a question and two statements :

Question:

Is ${\mathrm{a}}^2+{\mathrm{b}}^2+{\mathrm{c}}^2-\mathrm{ab}-\mathrm{bc}-\mathrm{ca} (\mathrm{a}, \mathrm{b}, \mathrm{c}$ are distinct real numbers) always positive?

Statement-I : $\mathrm{a}>\mathrm{b}>\mathrm{c}$

Statement-II : $\mathrm{a}+\mathrm{b}+\mathrm{c}=0$

Which one of the following is correct in respect of the question and the statements?

What is the date today?

Based on the following statements, select the correct option:

Statement:

(i) We are in the second week of March.

(ii) The date today is an odd number.

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

What is the code of the 'right' in a certain code language?
I. The code of 'every right to reject' is '%47*32@53*95'
II. The code of 'never reject right turn' is %62%47@51*32'

a. if the data is 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 is 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 even in both statement I and II together are not sufficient to answer the question.
e. if the data even in both statement I and II together are necessary to answer the question.