Question

Given below are two statements
Statement I: The set of numbers (5, 6, 7, p, 6, 7, 8, q) has an arithmetic mean of 6 and mode (most frequently occurring number) of 7. Then p×q=16.
Statement II: Let p and q be two positive integers such that p+q+p×q=94. Then p+q=20.
In light of the above statements, choose the correct answer from the options given below

• A. Both Statement I and Statement II are true
• B. Both Statement I and Statement II are false
• C. Statement I is true but Statement II is false
• D. Statement I is false but Statement II is true

Answer 1

Answer: (B)

Both Statement I and Statement II are false

Answer 2

The Correct Option is (B): Both Statement I and Statement II are false