GMAT quant accurate questions and answers
with solutions 2024 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).
with solutions 2024 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).