Essential GMAT Quant Skills

Question 1

Perfect square cannot end in (have units digit of) which numbers

Answer 1

2, 3, 7, or 8

Question 2

For 0<x<1, what is relationship (size) between x, sqrt(x), and x^2?

Answer 2

x^2<x<sqrt(x)

Question 3

Squaring a number that is between 0 and 1 makes it bigger or smaller?

Answer 3

Smaller

Question 4

What is bigger (0.9)^2 or (0.999)^2?

Answer 4

0.999^2

Question 5

A perfect square will have units digits of?

Answer 5

0,1,4,5,6 or 9

Question 6

Three most common pairs of numbers that when multiplied yield powers of 10 (10, 100, 1000, etc)

Answer 6

2x5
4x25
8x125

Question 7

0!= ?

Answer 7

1

Question 8

1!= ?

Answer 8

1

Question 9

for two fractions (a/b) and (c/d), if ad=cb, what does that imply about the two fractions?

Answer 9

they are equivelant

Question 10

how is 5+(3/4) expressed as a mixed number?

Answer 10

5(3/4) -> 5 and three fourths

Question 11

does zero have a reciprocal?

Answer 11

no

Question 12

what is the product of a number and its reciprocal?

Answer 12

1

Question 13

for x, y where 0<x/y<1, and some constant k, x/y<(x+k)/(y+k), and x/y>(x-k)/(y-k) as long as the numerator and denominator remain positive. how does this relationship work for a fraction x/y that is greater than 1?

Answer 13

the reverse: x/y>(x+k)/(y+k), and x/y<(x-k)/(y-k) as long as k is not such that the numerator and denominator become negative

Question 14

what does percent mean?

Answer 14

divide by 100 - for instance 10 % is translated to 10/100. x % = x/100

Question 15

how do you convert a fraction to a percent?

Answer 15

multiply by 100 and add percent sign

Question 16

can a non-terminating, non-repeating decimal be converted to a fraction?

Answer 16

no, conversion to fractions can only occur for terminating, and repeating decimals (mostly for terminating decimals, -> 0.679 = 679/1000)