Syllogism Sample Questions

Syllogism Sample Questions

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

Question of the day 28-3-2017

Reasoning: Syllogism

Direction (1-3): Each of the following questions consists of six statements followed by options consisting of three statements put together in a specific order. Choose the option that indices a combination where the third statement can be logically deduced from the first two statements and that option will be your answer.

1.  I. Some orange is white.
II. Some white is black.
III. All black is orange.
IV. Some green are blue.
V. No blue is white.
VI. All red are green.
A) [IV, VI, V]
B) [I, II, V]
C) [II, III, I]
D) [IV, V, VI]
E) None is correct

2.  I. Some red is green.
II. All blue is black.
III. Some blue is white.
IV. Some red is white.
V. Some black is blue.
VI. Some white is black.
A) [VI, IV, I]
B) [II, III, VI]
C) [I, II, IV]
D) [I , V, III]
E) None is correct

3.  I. No red is green.
II. Some white is red.
III. All blue is white.
IV. Some green is blue.
V. No white is black.
VI. No blue is black.
A) [I, II, V]
B) [II, III, V]
C) [I, IV, VI]
D) [III, V, VI]
E) None is correct

Question of the day 27-3-2017

A and B can complete a work in 12 and ‘n’ days respectively. They worked for 3 days and found 3/5th of the work as pending. If C who can complete the same work in 24 days also works with them, how much work will remain uncompleted after 4 days?

A) 8/19
B) 15/31
C) 2/9
D) 3/10
E) 3/13

Question of the day 26-3-2017

A, B and C can complete a work in 12, 15 and 25 days respectively. A started the work, C and B joined him after 3 and 6 days respectively. How much work did A complete?

A) 3/5
B) 2/3
C) 1/8
D) 3/7
E) None of these

Question of the day 25-3-2017

If a box containing 12 mirrors is dropped, which of the following cannot be the ratio of broken mirrors to unbroken mirrors? 

A) 2:4
B) 1:2
C) 1:1
D) 3:2
E) None of these