GMAT Quant Prep Questions and Solutions

GMAT Quant Prep Questions and
Solutions
2^2 - Answer 4

1^2 - Answer 1

3^2 - Answer 9

4^2 - Answer 16

5^2 - Answer 25

6^2 - Answer 36

7^2 - Answer 49

8^2 - Answer 64

9^2 - Answer 81

10^2 - Answer 100

11^2 - Answer 121

12^2 - Answer 144

13^2 - Answer 169

14^2 - Answer 196

15^2 - Answer 225

25^2 - Answer 625

√2 - Answer 1.414

√3 - Answer 1.732

√5 - Answer 2.236

2^0 - Answer 1

2^1 - Answer 2

2^3 - Answer 8

2^4 - Answer 16

,2^5 - Answer 32

2^6 - Answer 64

2^7 - Answer 128

2^8 - Answer 256

2^9 - Answer 512

prime # - Answer 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 43,47

ODD+ODD - Answer EVEN

ODD+EVEN - Answer ODD +

EVEN+EVEN - Answer EVEN

ODD*ODD - Answer ODD*

ODD*EVEN - Answer EVEN *

EVEN*EVEN - Answer EVEN2

Area of a circle - Answer π * r^2

Circumference - Answer 2 * π * radius

Volume of Cylinder - Answer height * π *r^2

Volume of sphere - Answer 4/3 * π *r^3

Area of a Triangle - Answer 1/2 base * height

Right Triangle Frequent Combos - Answer 3 4 5 and 6 8 10 and 5 12 13

Height in Equil Triangle - Answer √3/2 * side

Area of Trapezoid - Answer 1/2 (long base+short base) * height

Length of diagonal for square - Answer √2 * side

Rate Problem - Answer How far we have to go/ how fast we are getting there

Even and Odd Numbers: Addition / Subtraction - Answer even +/- even = even;
even +/- odd = odd;
odd +/- odd = even.

Even and Odd Numbers: Multiplication - Answer even * even = even;

, even * odd = even;
odd * odd = odd.

POSITIVE AND NEGATIVE NUMBERS: Multiplication - Answer positive * positive =
positive
positive * negative = negative
negative * negative = positive

POSITIVE AND NEGATIVE NUMBERS: Division - Answer positive / positive = positive
positive / negative = negative
negative / negative = positive

The first twenty-six prime numbers are - Answer 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41,
43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,
101
Note: only positive numbers can be primes

all prime numbers above 3 are of the form - Answer 6n - 1 or 6n + 1

If is a positive integer greater than 1, then there is always a prime number - Answer P whth
N<P<2N

If a number equals the sum of its proper divisors, it is said to be a perfect number. - Answer
Example: The proper divisors of 6 are 1, 2, and 3: 1+2+3=6, hence 6 is a perfect number.

If P is a prime number and P is a factor of AB then - Answer P is a factor of A or P is a factor
of B.

Finding the Number of Factors of an Integer - Answer (p+1)(q+1)(r+1)....(z+1)

Finding the Sum of the Factors of an Integer - Answer (a^(p+1) - 1)*(b^(q+1) - 1)*(c^(r+1) -
1) / (a-1)(b-1)(c-1)

Greatest Common Factor (Divisior) - GCF (GCD) - Answer The greatest common divisor
(gcd), also known as the greatest common factor (gcf), or
highest common factor (hcf), of two or more non-zero integers, is the largest positive
integer that divides the numbers without a remainder.

Every common divisor of a and b is a divisor of - Answer gcd(a, b).

gcd(a, b)*lcm(a, b) - Answer a*b

Lowest Common Multiple - LCM - Answer The lowest common multiple or lowest common
multiple (lcm) or smallest common
multiple of two integers a and b is the smallest positive integer that is a multiple both of a
and of b. Since it is a multiple, it can be divided by a and b without a remainder. If either
a or b is 0, so that there is no such positive integer, then lcm(a, b) is defined to be zero.
To find the LCM, you will need to do prime-factorization. Then multiply all the factors
(pick the highest power of the common factors).