FDP

Question 1

Rules of Powers

a^m.a^n

Quant Basics

Answer 1

a^(m+n)

Question 2

Rules of Powers

(a^m)/(a^n)

Quant Basics

Answer 2

a^(m-n)

Question 3

Rules of powers

(a^m)^n

Quant Basics

Answer 3

a^(mn)

Question 4

Rules of powers

(a^n)/(b^n)

Quant Basics

Answer 4

(a/b)^n

Question 5

Rules of powers

a^0

Quant Basics

Answer 5

1

Question 6

Rules of powers

a^(-m)

Quant Basics

Answer 6

1/(a^m)

Question 7

Rules of powers

a^(1/n)

Quant Basics

Answer 7

nth root of a

Question 8

Rules of powers

(ab)^m

Quant Basics

Answer 8

(a^m)(b^m)

Question 9

Comparing Fractions (a, b >0)

If Numerator increases

Quant Basics

Answer 9

Fraction Increases

Question 10

Comparing Fractions (a, b >0)

If Denominator Increases

Quant Basics

Answer 10

Fraction Decreases

Question 11

Comparing Fractions

Case 1: If N Increases and D Decreases

Quant Basics

Answer 11

F2 > F1

Question 12

Conmparing Fractions

Case 2a: If N, D increase by the same amount (N+a, D+a) and N1<D1 then

Quant Basics

Answer 12

F2 > F1

N is dominant

Question 13

Comparing Fractions

Case 2b: If N, D increase by the same amount (N+a, D+a) and N1>D1 then

Quant Basics

Answer 13

F2 < F1

D is dominant

Question 14

Comparing Fractions

Case 3a: If N, D decrease by the same amount (N-a, D-a) and N1<D1 then

Quant Basics

Answer 14

F2 < F1

N is dominant

Question 15

Comparing Fractions

Case 3b: If N, D decrease by the same amount (N-a, D-a) and N1 > D1 then

Quant Basics

Answer 15

F2 > F1

D is demoniant

Question 16

Unit Conversion

1ft = ? inches
1mi = ? ft = ? inches
1km = ? m
1mi = ? km

Quant Basics

Answer 16

• 12
• 5280, 63360
• 1000
• 1.6

Question 17

Factorials

n! =

Quant Basics

Answer 17

• n(n-1)!
• 1 x 2 x 3 x … x (n-1) x n

Question 18

Counting

Number of integers from 1 to n (inclusive) =

Quant Basics

Answer 18

n OR (n-1)+1

Question 19

What is the equation if:
1. x is p% more than y
2. x is p% less than y

Answer 19

1. x = y (1 + p/100)
2. x = y (1 - p/100)

Question 20

What is the equation for percentage change?

Answer 20

Change = ((Final - Initial) / Initial) x 100x

Question 21

What is the divisibility rule for 11 ?

Answer 21

Sum of Odd Place Digits
Sum of Even Place Digits
are Divisible by 11

Question 22

For Unknow #’s + GCF
- # of PF ?
- # of Powers ?

Answer 22

• # of PF = All common PF of all #’s
• # of Powers = Min Power of that PF for that

Question 23

For Unknow #’s + LCM
- # of PF ?
- # of Powers ?

Answer 23

• # of PF = All PFs of all #’s
• # of Powers = Max Power of that PF for that

Question 24

To Find the # of Mutiples in A Range What is the Method ?

Answer 24

Last multiple - First multiple / (Divisor) +1

Question 25

For #’s That are consecutive then GCF = ?

Answer 25

GCF = 1

Question 26

What is the Method to find x if : LCM (x,18) =36

Answer 26

1) Prime Factorise each #
2) Take all PF with their max power
3) Multiply all terms in 2 to get possible values of x

Question 27

Whats is the method to find x if :
GCF (x,18) = 6

Answer 27

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

Question 28

For any 2 integers (A,B)
LCM(A,B) x GCF(A,B) = ?

Answer 28

A x B

Question 29

If x is a multiple of y then what relationship does x have with prime factors of y ?

Answer 29

All PFs of y must be PFs of x

Question 30

If two integers don’t have any primes in common, Then :
- GCF = ?
- LCM = ?

Answer 30

GCF = 1
LCM = (INT)1 x (INT)2

Question 31

If x is a factor of y
- LCM = ?
- GCF = ?

Answer 31

LCM = y
GCF = x

Question 32

Define greatest common factor

Answer 32

Largest Factor of 2 Integers
- TT (Common PFs)
- < or = Integer