Quant Week 1

Question 1

Consecutive

Answer 1

In a row - doesn’t always mean up by 1; consecutive odd = 1, 3, 5 etc
Consecutive - going up by the same amount each time
Consecutive integers - going up by 1

Question 2

Distinct

Answer 2

Different
Each number must be different to any other number

Question 3

Integer/Number

Answer 3

Integer - whole number (5, -3, 0)
Number - (root 2, 1.73, 2)

Question 4

For every

Answer 4

Ratio
“For every man, there were three children and two women” 1:3:2

Question 5

Nonnegative

Answer 5

> = 0
Nonnegative can include zero!!!

Question 6

Must/Could

Answer 6

Which of the following must be even?
Which of the following could be even?

Question 7

Odd/even

Answer 7

Odd: -3, 5, 17
Even: 0, -4, 16

Question 8

No fewer/less than
No more than

Answer 8

No fewer than 4 is >= 4; included 4
No more than 10 is <= 10; includes 10

Question 9

Positive

Answer 9

> 0; pay attention when “positive” is omitted
Ex- If y is an integer, is 3y > 2y?

Question 10

Prime

Answer 10

2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Only even prime: 2
1 is not prime

Question 11

Which of the following numbers are prime?

Answer 11

Step 1: only need to check if the #s are divisible by primes
Step 2: only those primes whose square is less than the #

Question 12

Factor vs Prime Factor

Answer 12

12 has 6 unique factors (1,12; 2,6; 4,3)
But only 2 prime factors (2 and 3)

Question 13

Cubed #s 1-6

Answer 13

1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
5^3 = 125
6^3 = 216

Question 14

Squared #s

Answer 14

2,3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

4,9,16,25,36,49,64,81,100,121,144,169, 196, 225

Question 15

How many prime factors does 12 have?

Answer 15

2: 3 & 2

Question 16

Least (lowest) Common Multiple

Answer 16

multiple means in the times table. So a multiple of 3 is 3, 6, 9, etc

LCM=smallest number that is a multiple of both of them. So smallest number where the 2 or 3 or 4, etc numbers overlap

Question 17

Highest Common Factor (divisor)

Answer 17

A number that goes into 10 (2, 5, 1). Generally, multiples are bigger and factors are smaller

Question 18

x is the HCF of 72 and 60. y is the LCM of 72 and 60
QA: 30x
QB: y

Answer 18

Prime factorize:
60: 2^2 • 3^1 • 5^1
72: 2^3 • 3^2
LCM: 2^3 • 3^2 • 5^1
HCF: 2^2 • 3^1
ans: both equal