FDP Flashcards
Rules of Powers
a^m.a^n
Quant Basics
a^(m+n)
Rules of Powers
(a^m)/(a^n)
Quant Basics
a^(m-n)
Rules of powers
(a^m)^n
Quant Basics
a^(mn)
Rules of powers
(a^n)/(b^n)
Quant Basics
(a/b)^n
Rules of powers
a^0
Quant Basics
1
Rules of powers
a^(-m)
Quant Basics
1/(a^m)
Rules of powers
a^(1/n)
Quant Basics
nth root of a
Rules of powers
(ab)^m
Quant Basics
(a^m)(b^m)
Comparing Fractions (a, b >0)
If Numerator increases
Quant Basics
Fraction Increases
Comparing Fractions (a, b >0)
If Denominator Increases
Quant Basics
Fraction Decreases
Comparing Fractions
Case 1: If N Increases and D Decreases
Quant Basics
F2 > F1
Conmparing Fractions
Case 2a: If N, D increase by the same amount (N+a, D+a) and N1<D1 then
Quant Basics
F2 > F1
N is dominant
Comparing Fractions
Case 2b: If N, D increase by the same amount (N+a, D+a) and N1>D1 then
Quant Basics
F2 < F1
D is dominant
Comparing Fractions
Case 3a: If N, D decrease by the same amount (N-a, D-a) and N1<D1 then
Quant Basics
F2 < F1
N is dominant
Comparing Fractions
Case 3b: If N, D decrease by the same amount (N-a, D-a) and N1 > D1 then
Quant Basics
F2 > F1
D is demoniant
Unit Conversion
1ft = ? inches
1mi = ? ft = ? inches
1km = ? m
1mi = ? km
Quant Basics
- 12
- 5280, 63360
- 1000
- 1.6
Factorials
n! =
Quant Basics
- n(n-1)!
- 1 x 2 x 3 x … x (n-1) x n
Counting
Number of integers from 1 to n (inclusive) =
Quant Basics
n OR (n-1)+1
What is the equation if:
1. x is p% more than y
2. x is p% less than y
- x = y (1 + p/100)
- x = y (1 - p/100)
What is the equation for percentage change?
Change = ((Final - Initial) / Initial) x 100x
What is the divisibility rule for 11 ?
Sum of Odd Place Digits
Sum of Even Place Digits
are Divisible by 11
For Unknow #’s + GCF
- # of PF ?
- # of Powers ?
- # of PF = All common PF of all #’s
- # of Powers = Min Power of that PF for that
For Unknow #’s + LCM
- # of PF ?
- # of Powers ?
- # of PF = All PFs of all #’s
- # of Powers = Max Power of that PF for that
To Find the # of Mutiples in A Range What is the Method ?
Last multiple - First multiple / (Divisor) +1
For #’s That are consecutive then GCF = ?
GCF = 1
What is the Method to find x if : LCM (x,18) =36
1) Prime Factorise each #
2) Take all PF with their max power
3) Multiply all terms in 2 to get possible values of x
Whats is the method to find x if :
GCF (x,18) = 6
1) Prime Factorise each #
2) Take all common PF with their least # powers
3) Multiply all terms in 2) to get possible values for x
For any 2 integers (A,B)
LCM(A,B) x GCF(A,B) = ?
A x B
If x is a multiple of y then what relationship does x have with prime factors of y ?
All PFs of y must be PFs of x
If two integers don’t have any primes in common, Then :
- GCF = ?
- LCM = ?
GCF = 1
LCM = (INT)1 x (INT)2
If x is a factor of y
- LCM = ?
- GCF = ?
LCM = y
GCF = x
Define greatest common factor
Largest Factor of 2 Integers
- TT (Common PFs)
- < or = Integer