# Quantitative Aptitude: Inequalities Set 2

**Directions: Each question below contains a statement followed by Quantity I and Quantity II. Find both to find the relationship among them. Mark your answer accordingly.**

- The price of item X is marked at Rs 10,000. After giving a discount of 4%, a gain of 20% is achieved.

**Quantity I:**Cost Price of Item X.

**Quantity II:**Selling Price of item Y after two successive discount of 10% and 15% is provided on the Marked Price of Rs 10,000.

A) Quantity I > Quantity II

B) Quantity I ≥ Quantity II

C) Quantity II > Quantity I

D) Quantity II ≥ Quantity I

E) Quantity I = Quantity II or Relation cannot be established

**Quantity I:**Simple Interest on a sum of Rs 6200 at the rate of 6% per annum for 5 years

**Quantity II:**Compound Interest on a sum of Rs 6400 at rate of 10% compounded semi-annually for one year.

A) Quantity I > Quantity II

B) Quantity I ≥ Quantity II

C) Quantity II > Quantity I

D) Quantity II ≥ Quantity I

E) Quantity I = Quantity II or Relation cannot be established

- The price of item X is marked at Rs 10,000. After giving a discount of 4%, a gain of 20% is achieved.

**Quantity I:**Cost Price of an article if it is sold making a loss of 10% given that if the cost price was 20% less, a profit of Rs 12 could be made.

**Quantity II:**Labeled Price of an article if a discount of 30% is given on it and then sold for Rs 105 at a loss of 20%

A) Quantity I > Quantity II

B) Quantity I ≥ Quantity II

C) Quantity II > Quantity I

D) Quantity II ≥ Quantity I

E) Quantity I = Quantity II or Relation cannot be established

- Given that x < 0 and y > 0

**Quantity I:**14x^{3}y^{2}

**Quantity II:**28x^{2}y^{3}

A) Quantity I > Quantity II

B) Quantity I ≥ Quantity II

C) Quantity II > Quantity I

D) Quantity II ≥ Quantity I

E) Quantity I = Quantity II or Relation cannot be established

**Quantity I:**Area of rectangle whose sides are in the ratio 3 : 1 and perimeter twice the circumference of a semi-circle with area 77 cm<sup>2</sup>

**Quantity II:**Curved surface area of a cylinder of radius 12 cm and height equal to the side of square of area 49cm<sup>2</sup>

A) Quantity I > Quantity II

B) Quantity I ≥ Quantity II

C) Quantity II > Quantity I

D) Quantity II ≥ Quantity I

E) Quantity I = Quantity II or Relation cannot be established

**Quantity I:**Time taken by A to complete 1/5^{th}of work if B takes 6 days to complete 3/5^{th}of work and together they take 5 days to complete 3/4^{th}of work

**Quantity II:**Time taken by a train to cross a platform of length 60 km given that it crosses a pole in two and a half hours running at 60 km/hr

A) Quantity I > Quantity II

B) Quantity I ≥ Quantity II

C) Quantity II > Quantity I

D) Quantity II ≥ Quantity I

E) Quantity I = Quantity II or Relation cannot be established

**Quantity I:**Age of A five years ago if 6 years hence ratio of age of A to B will be 14 : 11, and 1 year ago the ratio was 7 : 5.

**Quantity II:**Average age of 2 students included in a group of 5 students with average age 18 years given that addition of these 2 students in group makes average increase by 1.

A) Quantity I > Quantity II

B) Quantity I ≥ Quantity II

C) Quantity II > Quantity I

D) Quantity II ≥ Quantity I

E) Quantity I = Quantity II or Relation cannot be established

**Quantity I:**x, such that 6x^{2}+ 22x + 15 = 0

**Quantity II:**y, such that 6y^{2}– 7y – 10 = 0

A) Quantity I > Quantity II

B) Quantity I ≥ Quantity II

C) Quantity II > Quantity I

D) Quantity II ≥ Quantity I

E) Quantity I = Quantity II or Relation cannot be established

- A shopkeeper gets a discount of 20% on an article and sells it at 10% profit.

**Quantity I:**Labeled price as a percent of cost price.

**Quantity II:**Profit percent if discount given is 60%

A) Quantity I > Quantity II

B) Quantity I ≥ Quantity II

C) Quantity II > Quantity I

D) Quantity II ≥ Quantity I

E) Quantity I = Quantity II or Relation cannot be established

**Quantity I:**Speed of boat in still water f it took 24 hours to cover a distance of 64 km going downstream and back. Given the speed of current to be 2 km/hr

**Quantity II:**Average speed of a boy to go from home to school if his average speed is 2 km/hr from school to home and he covers a total of 12 km in 5 hours.

A) Quantity I > Quantity II

B) Quantity I ≥ Quantity II

C) Quantity II > Quantity I

D) Quantity II ≥ Quantity I

E) Quantity I = Quantity II or Relation cannot be established