MBA Deck

Question 1

How do you know if a number is divisable by 2, 3, 4, 5, 6, 7, 8, 9

Answer 1

2: Even
3: Sum of integer’s digits is divisible by 3
4: Divisible by 2 twice or last two digits are divisible by 4
5: Ends in 0 or 5
6: Integer is divisible by both 2 and 3
7: No Rules, Long Division
8: Divisible by 2 thrice or last three digits by 8
9: Sum of digits is divisible by 9

Question 2

If you add multiples of a number, it is that sum a multiple of a number (T or F)

Answer 2

True

Question 3

What are the first ten prime numbers?

Answer 3

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

Question 4

The first prime number is 2 (T or F)

Answer 4

T, it is also the only even prime number

Question 5

If A is a factor of B, and B is a factor of C, A is a factor of C (T or F)

Answer 5

T

Question 6

27 is a factor of 72 (T or F)

Answer 6

F, prime factorization shows the digits are only 3, 3, 2, 2, 2. There is no way to make 27 from these digits

Question 7

In 8 / 5. 8 is the dividend and 5 is the divisor (T or F) and What is the quotient?

Answer 7

T, 1
Dividend = Quotient x Divisor + Remainder
Dividend = Multiple of Divisor + Remainder

Question 8

Even + or - Even = (Even or Odd)

Answer 8

Even

Question 9

Odd + or - Odd = (Even or Odd)

Answer 9

Even

Question 10

Even + or - Odd = (Even or Odd)

Answer 10

Odd

Question 11

Even x Even = (Even or Odd)

Answer 11

Even

Question 12

Even x Odd = (Even or Odd)

Answer 12

Even

Question 13

Odd x Odd = (Even or Odd)

Answer 13

Odd

Question 14

In Combinatorics, what does AND vs OR mean?

Answer 14

AND = Multiple Possibilities
OR = Add Possibilities

Question 15

In Combinatorics, arranging groups is done with what mathematical operator

Answer 15

N!

Question 16

What is the difference if there are specific order vs non-specific order in Combinatorics

Answer 16

If there is a specific order then you utilize N!, if there is not a specific order, you have to divide N!/n!

eg) A local card club will send 3 representatives to the national conference. How many different groups of representatives could the club send
- 8!/(3!5!)

Question 17

The yearbook committee has to pick a scheme for this year’s yearbook. There are 7 colors to choose from. How many color schemes can the committee pick if only 1 is choosen? If 2 are choosen?

Answer 17

1: 7!/(1!6!) = 7
2: 7!(2!5!) = 21

Question 18

If two dice are rolled what is the total number of combinations of numbers?

Answer 18

6 AND 6 = 36

Question 19

How to determine if a large number is prime?

Answer 19

Check 2 - 9 and all primes up to the square root of the number

Question 20

If you add a multiple of N to a non-multiple of N, the result is a non-multiple of N (T or F)

Answer 20

T

Question 21

If you add two non-multiples of N, the result is a non-multiple of N (T or F)

Answer 21

F - You don’t know

Question 22

How do you find the GCF and LCM of numbers

Answer 22

GCF is the product of all shared primes, LCM is the product of all primes

Question 23

If two numbers have no primes in common what is their GCF and LCM

Answer 23

GCF - 1

LCM - Numbers multiplied together