Question 1: Compute:
i) ii)
iii) LCM
Answer:
i)
ii)
iii) LCM
Therefore LCM is
Question 2: Prove that
Answer:
LHS
RHS. Hence proved.
Question 3: Find x in each of the following:
i)
ii)
iii)
Answer:
i)
ii)
iii)
Question 4: Convert the following products into factorials:
i) ii)
iii) iv)
Answer:
i)
ii)
iii)
iv)
Question 5: Which of the following are true:
i) ii)
Answer:
i)
LHS
RHS
Hence LHS RHS. Hence the statement is false.
ii)
LHS
RHS
Hence LHS RHS. Hence the statement is false.
Question 6: Prove that:
Answer:
RHS LHS.
Hence proved.
Question 7: If , find
Answer:
Given
Question 8: If , find
Answer:
Given
Question 9: If , find
Answer:
Given
Question 10: If and
are in the ratio
, find
Answer:
Question 11: Prove that:
i)
ii)
Answer:
i)
LHS
RHS. Hence proved.
ii)
LHS
RHS.
Question 12: Prove that:
Answer:
LHS
RHS. Hence proved.