$$ {I.2x^{2}-{9x}+10=0}$$
$$ {II.2y^{2}-13y+20=0}$$

$${I. \sqrt{200x}+\sqrt{102}=0}$$
$${II.\sqrt{160y}+\sqrt{200}=0}$$

$${I.{(13)^{2}}-14+28=x}$$
$${II.{(16)^{2}}-8×7=y}$$

Directions: The following questions are accompanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statement(s) is/are sufficient/necessary to answer the questions.

A shopkeeper sold an article and got Rs 300 as profit. Find the profit percentage.
A. Selling price of the article is Rs 1200.
B. He gave 25% discount, which is Rs 400, on the labelled price.
C. Cost price of the article is Rs 900.

Directions: The following questions are accompanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statement(s) is/are sufficient/necessary to answer the questions.

What is the non-voting population of a certain country?
A. Only males above 21 years of age can vote.
B. Males above 21 years form 30% of the total population.
C. The total population of the country is 30 million.

Directions: The following questions are accompanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statement(s) is/are sufficient/necessary to answer the questions.

Find the number of days in which Q can do a job if P can do the same job in 8 days.
A. Q is 60% more efficient than P.
B. P and Q together can do the job in 3days.
C. P is 37 %less efficient than Q.

Directions: The following questions are accompanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statement(s) is/are sufficient/necessary to answer the questions.

What is rate of interest per annum?
A. The amount becomes Rs 9331.20 in 2 years at compound interest.
B. The difference between CI and SI at the same rate of interest in 2 yrs is Rs 51.20.
C. The amount invested in Rs 8000.

Directions: The following questions are accompanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statement(s) is/are sufficient/necessary to answer the questions.

What is the inradius of a right-angled triangle?
A. The area of the triangle is known.
B. Any two sides of the triangle are known.
C. The perimeter of the triangle is known.