Gre math Review 1 Arithmetic

Answers to Arithmetic Exercises

1.
a. 19

b.   negative 3
c. 8
d. 89
e. 0
f. 1,296
g. 1,024
h. 51

2.
a.   one fourth

b.   the negative of the fraction 5 over 14
c.  9 over 1,600
d.   the negative of the fraction 4 over 9

3. 312, 112, and 144

4.
a.   372 = 2 squared times 3 times 31
b. The positive divisors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, and 372.

5.
a.   100 = 2 squared times 5 squared, so the prime divisors are 2 and 5.

b.   144 = 2 to the power 4, times 3 squared, so the prime divisors are 2 and 3.

6. 2, 19, 29, 37, and 83

7.   585 = 3 squared times 5, times 13

8.
a. True

b. True
c. False; division by 0 is undefined.
d. True
e. True
f. True
g. False;  
the positive square root of the quantity, open parenthesis, negative 3, close parenthesis, squared = the positive square root of 9, or 3, which is greater than 0
h. True
i. False;  the negative of the absolute value of negative 23 = negative 23
j. True
k. False;  
59 cubed times 59 squared = 59 to the power, open parenthesis, 3 + 2, close parenthesis, which is equal to 59 to the power 5
l. True

9.
a. 6

b. 72
c. 4.8
d. 50
e. 20%

10. 17%

11. 5%

12. $36 per share

13. 8 women

14.
a. a + 2b is even.

b. 2a + b is odd.
c. a b is even.
d.   a to the power b is even.
e.   open parenthesis, a + b, close parenthesis, squared is odd
f.   a squared, minus, b squared is odd.

15. 11

GRE Math Review 1 Arithmetic