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Ques 1: A number of people is or a number of people are?

Ans: Although the expression 'a number' is strictly singular, the phrase 'a number of' is used with plural nouns. The verb should therefore be plural

Eg.: A number of people are waiting for the bus.

However, 'the number' is singular

Eg.: The number of people here has increased since this morning.

Ques 2: The first train took twenty-six minutes to complete the route, which ran from City Hall to West 145th Street __in under a half an hour.__

- NO CHANGE
- in the completion of its route.
- in twenty-six minutes.
**DELETE the underlined portion and end the sentence with a period.**

Redundancy is sometimes tricky to spot. Especially when, like here, the repeating thing is a concept rather than a word used more than once, and is placed far away in the sentence from whatever it’s duplicating.

is sometimes tricky to spot. You first have to realize that 26 minutes is the same thing as "under a half an hour

Solve 9x - 1 = 0

x + 3

- 8/3
**3/8**- 8
- 1/8
- None of the above

**What is a Rational Equation?**

A **rational equation** is an equation that contains at least one rational expression.

**To Solve a Rational Equation......**

- Determine the lowest common denominator of all rational expressions in the equation.
- Multiply both sides of the equation by the lowest common denominator.
- Simplify by removing parentheses and combining like terms.
- Solve the equation resulting from step 4.
- Check the solution in the original equation. This step is essential since it is here that you will eliminate extraneous solutions (see below).

The relationship between the coefficients of the components of a balanced chemical is referred to as the:

a) tracheotomy

b) symmetry

c) **stoichiometry**

d) numerology

e ) cosmology

The other options are wrong because:

(a) tracheometry is a medical process of opening up the neck so that tubes can be placed through the windpipe.

(b) symmetry is the property of a shape to look the same on both sides with reference to some midpoint.

(d) numerology is a belief that numbers have a paranormal nature to them.

(e) cosmology is astronomy with a focus on the history of the universe.

There are words that sound the same but have different spellings and meanings. These are a few of the commonly confused words

You're vs your

To vs two vs too

Weather vs whether

There vs their

Eg: Incorrect: There father went to school there

Correct: Their father went to school there

One positive number is 15 times another positive number. The difference between the two numbers is 140. Find the two numbers.

- 10, 160
- 135, 9
- 11, 165
- 152, 9
**None of the above**

If peak A has a retention time rA=2 min. and peak B has a retention time of rB=5 min., what is the resolution of these two peaks given that both have a peak width of 1.0 min.?

a. 0.5

b. 1.5

c. 1

d. 3

e. 5

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