Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Logical and Analytical Reasoning

Topic

Syllogism

Question:

Given below are two statements:

Statement I: a% of b + b% of a = 2(a% of b)

Statement II: A sum of ₹ 731 is distributed among A, B and C such that A receives 25% more than B and B receives 25% less than C. Then C's share in the amount is ₹ 272.

In the light of the above statements, choose the correct answer from the options given below:

Options:

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is true but Statement II is false

Statement I is false but Statement II is true

Correct Answer:

Both Statement I and Statement II are true

Explanation:

Statement I: a% of b + b% of a = 2(a% of b)( True), because if we understand this with an example, 50% of 100 = 100% of 50

Statement II: A sum of ₹ 731 is distributed among A, B and C such that A receives 25% more than B and B receives 25% less than C. Then C's share in the amount is ₹ 272. ( True)

  A     B      C

15x   12x   16x   = 43x ( Total)

43x = 731

x = 17

So, 16x = 272

The correct answer is Option (1) → Both Statement I and Statement II are true