Instructions

In these questions, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer. Give answer :

a:If x < y

b: If x > y

c: If x ≤ y

d: If x ≥ y

e: If relationship between x and y cannot be determined ,

Instructions

In the given questions, two quantities are given, one as Quantity I and another as Quantity II. You have to determine relationship between two quantities and choose the appropriate option.

a: If quantity I ≥ quantity II

b: If quantity I > quantity II

c: If quantity I < quantity II

d: If quantity I = quantity II or the relationship cannot be established from the information that is given

e: If quantity quantity II

Question 16

Arun and Bhadra are brothers. In how many years from now will Bhadra’s age be 50 years ? •

I. The ratio of the current ages of Arun and Bhadra is 5 : 7 respectively.

II. Bhadra was born 10 years before Arun.

III. 5 years hence, Arun’s age would be three-fourth of Bhadra’s age at that time.

Question 17

A right-angled triangle is inscribed in a given circle. What is the area of the given circle (in cm2) ?

I. The base and height of the triangle (in cm) are both the roots of the equation $$x^{2}-23x+120=0$$

II. The sum of the base and height of the triangle is 23 cm.

III. The height of the right-angled triangle is greater than the base of the same.

Question 18

What is the ratio between the marled price of two identical items, P and Q, which had been purchased at the same price ?

I. Item P was sold at a profit of 20%, while item Q was sold at a loss of 10%.

II. Item P was sold at a discount of 4%. The percentage by which Item Q’s cost price had been marked up is 2.5 times the profit % earned on selling item P.

III. The overall profit earned on selling items P and Q was 5%.

Question 19

Three workers A, B and C complete a given piece of work within different time spans, while working individually. What is the ratio of efficiencies of C and B respectively ?

I. A takes 100% more time than C to complete the given piece of work.

II. B completes the given piece of work within 8 days.

III. B takes 2 days less than A to complete the given piece of work.

Question 20

What is the three-digit number having each digit different from the other ?

I. Each of the digits of the given number is a multiple of 3.

II. The digit in the unit’s place is 50% less than that in the hundred’s place.