GRE ANNALYTICAL REASONING
1. even + even = - ANSWER: even
2. even - even = - ANSWER: even
3. even + odd = - ANSWER: odd
4. even - odd = - ANSWER: odd
5. odd + odd = - ANSWER: even
6. odd - odd = - ANSWER: even
7. odd × odd = - ANSWER: odd
8. even × odd = - ANSWER: even
9. even × even = - ANSWER: even
10. least common multiple = - ANSWER: the least positive
integer that is a multiple of both a and b. For example, the
least common multiple of 30 and 75 is 150.
11. greatest common divisor (or greatest common factor) = -
ANSWER: the greatest positive integer that is a divisor of both
a and b. For example, the greatest common divisor of 30 and
75 is 15.
12. prime number = - ANSWER: an integer greater than 1 that
has only two positive divisors: 1 and itself
13. first ten prime numbers = - ANSWER: 2, 3, 5, 7, 11, 13, 17,
19, 23, 29
14. prime factorization = - ANSWER: Every integer greater than
1 either is a prime number or can be uniquely expressed as a
product of prime numbers
15. composite number = - ANSWER: An integer greater than 1
that is not a prime number
16. first ten composite numbers = - ANSWER: 4, 6, 8, 9, 10, 12,
14, 15, 16, 18
17. add two fractions with the same denominator = - ANSWER: add
the numerators and keep the same denominator. For example,
8/11 + 5/11 = 13/11
, 18. add two fractions with different denominators = - ANSWER: find
a common denominator, convert both fractions, then add
numerators. Example: 1/3 + (-2/5) = -1/15
19. multiply two fractions = - ANSWER: multiply numerators and
denominators. Example: (10/7) × (-1/3) = -10/21
20. divide one fraction by another = - ANSWER: invert the second
fraction and multiply. Example: (3/10) ÷ (7/13) = 39/70
21. negative number raised to even power = - ANSWER: positive
22. negative number raised to odd power = - ANSWER: negative
23. √a × √b = - ANSWER: √(ab)
24. (√a)² = - ANSWER: a
25. √a² = - ANSWER: a
26. √a / √b = - ANSWER: √(a/b)
27. interval = - ANSWER: The set of all real numbers between,
for example, 5 and 8 is called an interval: 5 < x < 8
28. ratio = - ANSWER: A ratio expresses the relative sizes of
two quantities, often as a fraction. For example, 2 apples to 3
oranges is 2:3 or 2/3.
29. ratio box = - ANSWER: X item Y item Total, Ratio, Multiply
by, Real
30. proportion = - ANSWER: An equation relating two ratios,
e.g., 9/12 = 3/4. Solve using cross multiplication.
31. percentage = - ANSWER: part/whole × 100
32. percent change = - ANSWER: (new value - original value) /
original × 100
33. cumulative percent change = - ANSWER: calculate each
successive percent change using the previous result as the
new original
34. order of operations = - ANSWER: BEDMAS (Brackets,
Exponents, Division/Multiplication, Addition/Subtraction)
35. x¹ = - ANSWER: x
1. even + even = - ANSWER: even
2. even - even = - ANSWER: even
3. even + odd = - ANSWER: odd
4. even - odd = - ANSWER: odd
5. odd + odd = - ANSWER: even
6. odd - odd = - ANSWER: even
7. odd × odd = - ANSWER: odd
8. even × odd = - ANSWER: even
9. even × even = - ANSWER: even
10. least common multiple = - ANSWER: the least positive
integer that is a multiple of both a and b. For example, the
least common multiple of 30 and 75 is 150.
11. greatest common divisor (or greatest common factor) = -
ANSWER: the greatest positive integer that is a divisor of both
a and b. For example, the greatest common divisor of 30 and
75 is 15.
12. prime number = - ANSWER: an integer greater than 1 that
has only two positive divisors: 1 and itself
13. first ten prime numbers = - ANSWER: 2, 3, 5, 7, 11, 13, 17,
19, 23, 29
14. prime factorization = - ANSWER: Every integer greater than
1 either is a prime number or can be uniquely expressed as a
product of prime numbers
15. composite number = - ANSWER: An integer greater than 1
that is not a prime number
16. first ten composite numbers = - ANSWER: 4, 6, 8, 9, 10, 12,
14, 15, 16, 18
17. add two fractions with the same denominator = - ANSWER: add
the numerators and keep the same denominator. For example,
8/11 + 5/11 = 13/11
, 18. add two fractions with different denominators = - ANSWER: find
a common denominator, convert both fractions, then add
numerators. Example: 1/3 + (-2/5) = -1/15
19. multiply two fractions = - ANSWER: multiply numerators and
denominators. Example: (10/7) × (-1/3) = -10/21
20. divide one fraction by another = - ANSWER: invert the second
fraction and multiply. Example: (3/10) ÷ (7/13) = 39/70
21. negative number raised to even power = - ANSWER: positive
22. negative number raised to odd power = - ANSWER: negative
23. √a × √b = - ANSWER: √(ab)
24. (√a)² = - ANSWER: a
25. √a² = - ANSWER: a
26. √a / √b = - ANSWER: √(a/b)
27. interval = - ANSWER: The set of all real numbers between,
for example, 5 and 8 is called an interval: 5 < x < 8
28. ratio = - ANSWER: A ratio expresses the relative sizes of
two quantities, often as a fraction. For example, 2 apples to 3
oranges is 2:3 or 2/3.
29. ratio box = - ANSWER: X item Y item Total, Ratio, Multiply
by, Real
30. proportion = - ANSWER: An equation relating two ratios,
e.g., 9/12 = 3/4. Solve using cross multiplication.
31. percentage = - ANSWER: part/whole × 100
32. percent change = - ANSWER: (new value - original value) /
original × 100
33. cumulative percent change = - ANSWER: calculate each
successive percent change using the previous result as the
new original
34. order of operations = - ANSWER: BEDMAS (Brackets,
Exponents, Division/Multiplication, Addition/Subtraction)
35. x¹ = - ANSWER: x
