# Quantitative Aptitude: Inequalities Set 3

**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.**

- If the perimeter of square and circle is same, then

Quantity I: the area of square

Quantity II: the area of circle

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 principal amount is Rs 12,000

Quantity I: Simple Interest on the sum at the rate of 10% per annum for 3 years

Quantity II: Compound Interest on the sum at rate of 10% compounded semi-annually for one and a half 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

- If the cost price of an article is increased by 40% to make it as the market price of article,

Quantity I: Selling price of article after allowing a discount of 20%, if the cost price is Rs 1,75,000

Quantity II: The cost price of article if after selling article at 20% profit is Rs 2,52,000

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

- Four years ago, the ratio of ages of A and B is 5 : 6 and five years after the ratio will become 6 : 7, then

Quantity I: present age of A

Quantity II: age of B 4 years ago

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: The largest number if average of 5 consecutive odd numbers is 39.

Quantity II: The smallest number if average of 5 consecutive of odd numbers is 47.

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: Number of days required by A to complete work alone, if A and B together can complete work in 20 days. Given that after they start work together, A leaves work after 10 days and B completed the remaining work in 20 days.

Quantity II: Number of days required by A to complete work alone, if A and B together can complete work in 15 days. Given that after they start work together, A leaves work after 5 days and B completed the remaining work in 30 days.

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: The length of train if train can cross a pole in 18 seconds and a 210 m platform in 39 seconds.

Quantity II: The length of platform if 200 m long train passes a pole in 20 seconds and platform in 46 seconds

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

- Initial speed of bus is 60 km/hr

Quantity I: the stoppage time if bus travels at 45 km/hr after stopping at a point

Quantity II: the stoppage time if bus travels at 40 km/hr after stopping at a point

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: Three successive discounts of 33 1/3%, 20% and 25%

Quantity II: Three successive discounts of 16 2/3%, 14 2/7% and 12.5%

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, 5x
^{2}+ 23x + 12 = 0

Quantity II: y, 5y^{2 }– 7y – 6 = 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