QUESTION: 25

X is a prime number bigger than 10. Also, Y = X+X3+X5+X7. What is definitely true about Y?

Y is a prime number.
Y is odd.
Y is even.
Y is divisible by 3.
Y is divisible by 7.

Answer(s): C

Explanation:

Because X is a prime number bigger than 10, it must be odd. Ignoring the powers of X in the expression of Y, you’ll see that Y is a sum of 4 odd numbers therefore it must be even. The correct answer is C.

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QUESTION: 26

What is the least integer that is a sum of four different primes each greater than 20?

79
83
120
133
169

Answer(s): C

Explanation:

Find the sum of the first 4 primes larger than 20: 23+29+31+37=120. The correct answer is C.

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QUESTION: 27

One quarter of the workers at the factory is clerical, one fifth is technical, half are administrative and the other 25 are managerial. How many workers total are there in the factory?

250
366
400
500
2500

Answer(s): D

Explanation:

First, calculate the fraction of the 25 managerial workers out of the total number of workers by subtracting the fractions given from 1. The 25 managerial workers are 201of the workers, therefore, 5002025=×, a total number of 500 workers. The correct answer is D.

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QUESTION: 28

The price of a product is $a. Bill bought s products and then sold 80 percents of them $b. which of the following represents the whole deal if Bill’s profit was three times the cost?

0.8sb = 4sa.
(1-0.8) s –ab = 3s.
3(0.8a – sb) = sa.
(s-0.8s) (b-a) = 3.
(s0.8s) / (b-a) = 3.

Answer(s): A

Explanation:

This statement is equivalent to 0.8sb – sa = 3sa. The income is 0.8sb, the cost is sa, so the profit is three times the cost.
The correct answer is A.

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QUESTION: 28

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