Inequalities Sample Questions

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.

1.  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

2.  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

3.  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

4.  Given that x < 0 and y > 0
Quantity I: 14x³y²
Quantity II:  28x²y³
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

5.  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 cm²
Quantity II:  Curved surface area of a cylinder of radius 12 cm and height equal to the side of square of area 49cm²
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

6.  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

7.  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

8.  Quantity I: x, such that 6x² + 22x + 15 = 0
Quantity II:  y, such that 6y² – 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

9.  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

10.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