Correct Answer: A. 25

Correct Answer: C. x=2, y=6

Explanation

The set is already in increasing order. We have six numbers in the set and we need to ensure the set will have a median of 4. When there is an even number in the set, we need to take the two middle numbers by adding them then dividing by two. The two middle numbers represent x and y. Let's set up an equation. x+y2=4. The numerator represents the two middle numbers being added and divided by the denominator. If we multiply both sides by 2 we get the sum of the variables to be 8. So we need to find the sum of x and y to be 8. The only choices are x=2, y=6 and x=?4, y=12. However, x=?4, y=12 doesn't work because 12 is bigger than both 7 and 10 and thus changing the median. x=2, y=6 is good because both of the values are les than 7 but greater than ?5.

Correct Answer: B. DBMS

Correct Answer: C. 4\(\sqrt{7} - 9 \sqrt{2}\)

Explanation

2\(\sqrt{28} - 3\sqrt{50} + \sqrt{22}\)

4\(\sqrt{7} - 15\sqrt{2} + 6\sqrt{2}\)

6\(\sqrt{7} - 9\sqrt{2}\)

Correct Answer: D. quantity damanded

Explanation

A change in quantity demanded refers to a change in the specific quantity of a product that buyers are willing and able to buy usually caused by a change in the price. From the question above, a rise in prise led to a corresponding change in the quantity demanded from 250 to 200 units.

Correct Answer: B. granite

Correct Answer: D. L

Correct Answer: C. stale cheque

Explanation

A "Do not be afraid: henceforth you will be catching men" The Circumstance that led to the statement (Luke 5:1-11:

?. Jesus stood by the lake Gennesaret and the people gathered to hear the word of God from him.

ii. Jesus saw two empty boats and entered one of them belonging to Simon Peter.

iii Jesus stood in the boat and taught the people around.

iv. After the teaching, Jesus instructed Peter to cast his nets in the deep waters for a catch.

v. Simon initially protested but later agreed to do as Jesus directed.

vi. After he threw the nets, he caught a great shoal of fish.

vi. His nets were breaking, and he had to request assistance from his colleagues.

vii. They filled the two boats so that they began to sink.

viii. Peter was so much astonished that he begged Jesus to depart from him since he was a sinner.

ix. Peter was in the company of James and John, the Sons of Zebedee who were also fishermen.

x. Jesus then invited them to be fishers of men.

xi. And instantly, they left everything and followed Jesus.

B. Factors that prevent people from becoming committed Christians:

i. Lack of self-denial.

ii. Poverty

iii. Lack of self-control.

iv. Unforgiveness/intolerance.

v. Unwilling to give up sinful habits/pride.

vi. Wealth materialism.

vii. Not praying regularly.

viii. Not reading the Bible regularly.

ix. Failure to abide by the word of God/lack of faith.

x. Peer pressure/Bad company.

xi.idolatry.

xii. Demonic/satanic influence.

Correct Answer: B. stay there and should not leave