Saket Sharma Solutions for Exercise 1: Exercise 1

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 Ritesh's monthly income?
(I) The total income of Ritesh and Sahil is ₹. $27000$ which is $150\%$ of their monthly expenditure.
(II) The ratio of their monthly expenditure is $5:4$.

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?

Consider a question and two statement:

Question:

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

Statement-I :

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

Statement II:

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

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 : $\frac{c}{a}>0$

The following question is followed by three statements numbered I, II and III. Read all the statements and answer accordingly.

How many students from institute A got placement?

I. Number of students studying in institutes A and B are in the ratio of $3:4$.

II. Number of Students who got placement from institute B is $120\%$ of the number of students who got placement from institute A.

III. $80\%$ of the students studying in institute B got placement.

The following question is followed by three statements numbered I, II and III. Read all the statements and answer accordingly.

What is the monthly income of Mr. X?

I. Mr. X spends $85\%$ of his income on various items and saves the remaining amount

II. Monthly saving of Mr. X is $₹4500$.

III. Out of the total money spent by Mr. X in a month, one-fifth is spent on food and remaining amount of $₹20400$ on other items.

The question below is followed by two statements I and II, in which certain data is given. You do not actually have to compute an answer, but rather decide whether the data given in the statements are sufficient for answering the question.

If a person saves $₹85000$ in a year what is the average monthly income?

$\mathrm{I}.$ The average monthly income for the first $4 \mathrm{months}$ is $₹18000.$
$\mathrm{II}.$ The average monthly income for the first $8 \mathrm{months}$ is $₹21000.$

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?

What is the length of train?

$\mathrm{I}.$ Train crosses a pole in $7.5 \mathrm{seconds}.$
$\mathrm{II}.$ Train crosses $190 \mathrm{m}$ long bridge in $17 \mathrm{seconds}.$