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GMAT > Tips > Flashcards

Tips Flashcards

1
Q

For a given annual % of interest & initial principal

A

Increasing the frequency of compounding, increases the interest amount accumulated

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2
Q

If multiply/divide both sides of an inequality with a -ve number

A

DIRECTION of the inequality changes (reverses)

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3
Q

LIsting down factors of a number

A

Use the T method (stop when pairs start repeating)

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4
Q

Multiple of every +ve integer

A

0

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5
Q

Standard form for a Quadratic equation

A

y=ax²+bx+c; if |a| > 1 skinny, if |a| < 1 wide; if a>0, graph opens upwards, if a<0, graph opens downwards

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6
Q

Impact of outliers on Median

A

Changing highest/lowest no on a list, DOESN’T change median

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7
Q

When there is a distinct outlier or a set of outliers in one direction

A

That pulls the mean away from the median

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8
Q

Exponents of prime factors of a square

A

Must all be EVEN

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9
Q

Numbers with exactly 3 divisors

A

Squares of prime numbers (1, p, p²)

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10
Q

Numbers with 5 factors can be

A

Square of a prime’s square (1, p, p², p³, p⁴)

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11
Q

Some mathematical exceptions (x, x²)

A

For most +ve nos, x² > x; For x=0 & x=1, x²=x; For fractions b/w 0 & 1, x²<x

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12
Q

If divisor > dividend, q=?, r=?

A

q=0, r=dividend

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13
Q

Squaring both sides of an inequality

A

If both sides are +ve, then can square; If opp. signs, then can’t square

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14
Q

Adding mean term to a list, shifts standard deviation

A

to LOWER value

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15
Q

LCM & HCF

A

LCM=product of HIGHEST powers; HCF=product of LOWEST powers

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16
Q

Perfect squares

A

The only integers with an ODD number of factors

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17
Q

Numbers with 4 factors can be

A

Product of 2 prime numbers (1, p, q, pxq) / Cube of a prime number (1, p, p². p³)

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18
Q

Always +ve

A

Factors of a +ve integer/ Remainders/ Prime numbers

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19
Q

Always integers

A

Multiples of a +ve integer / Odd & even numbers

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20
Q

[Exception] Quadratics have 2 solutions

A

(a-b)² = 0 & (a+b)² = 0 Yield only 1 solution

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21
Q

A set of ‘n’ consecutive inegers will always contain one no.

A

Divisible by n (if n is odd, sum of n consecutive integers will be divisible by n)

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22
Q

a⁰ = ?

A

1 (for all a except 0, i.e., 0⁰ = undefined)

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23
Q

Addition with mod

A

|x+y| <= |x| + |y| (equal when x,y have same sign)

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24
Q

Subraction with mod

A

|x-y| => |x| - |y| (equal when x,y have same sign & |x| >= |y|

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25
Q

Impact of outliers on Mean

A

Changing highest/lowest no on a list, CHANGES mean

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26
Q

Mutually exclusive events

A

2 events canNOT occur at the same time

27
Q

Independent events

A

One event remains UNAFFECTED by the occurence of the other event

28
Q

Data set values x -> ax+b, μ=? σ=?

A

a -> aμ + b; σ -> aσ

29
Q

If xᵃ = 1

A

then a=0 & x = any number (or) a = any number & x=1

30
Q

Data set that is symmetric about its average

A

Average = Average(least, greatest)

31
Q

Terminating decimal

A

Depends on factors other than 2 & 5 (i.e., fractions with 2s and 5s terminated, while others recur)

32
Q

Consecutive multiples of same number

A

μ = Median

33
Q

Consecutive integers

A

μ = Median

34
Q

Evenly spaced numbers / Any arithmetic sequence

A

μ = Median

35
Q

Symmetrical list

A

μ = Median

36
Q

If 2 series of consecutive multiples of ‘p’ have the same middle no

A

then the 2 series have the same μ

37
Q

If 2 series of consecutive multiples of ‘p’ have the same no of terms

A

then the 2 series have the same σ

38
Q

If |a| = b then

A

a = b (or) a = -b

39
Q

Even roots of

A

positive numbers -> +ve output; -ve numbers -> doesn’t apply

40
Q

If (x+y) is divisible by d & x is divisible by d

A

y is divisible by d

41
Q

aˣ = ?

A

Every prime factor within the prime factorisation of that integer MUST have a power of x/its multiples

42
Q

Atleast 1 even factor in a product => product will be…

A

EVEN

43
Q

Fractions s ⁄ p & s ⁄ q where p>q [Bigger Dr make…]

A

s ⁄ p < s ⁄ q […Smaller fractions]

44
Q

If x & y are each divisible by d

A

then (x+y) is divisible by d

45
Q

Fraction a/b; Adding p&q (a+p)/(b+q); result?

A

(a+p)/(b+q) will be closer to p/q than a/b; If a/b < p/q => a/b < resultant; If a/b > p/q => a/b > resultant

46
Q

[Exception] We need N equations to solve for N variables

A

Equations must be independent to count as separate / Cancellation of several variables at once helps

47
Q

Odd roots of

A

positive numbers -> +ve output; negative numbers -> -ve output

48
Q

x is what % of y

A

x/y * 100

49
Q

x is what % > or < y

A

(x/y - 1)100 or (y/x - 1)100

50
Q

If more than half the numbers in a list have the same value (x), median=?

A

x (regardless of values of remaining numbers)

51
Q

Product can be ODD if and only if

A

Every single factor is ODD

52
Q

Units digit of any product will be influenced by

A

ONLY the units digits of the 2 factors

53
Q

If Nr increases & Dr decreases, fraction?

A

Fraction increases

54
Q

p is a factor of q

A

q = kp

55
Q

q is a multiple of p

A

q = kp

56
Q

Inequality/Equality of type x-y & y-x on two sides

A

Unless x & y are equal +ve on one side & -ve on the other (opp signs)

57
Q

When a perfect square ends with an even number of zeros, the square root of such a perfect square will have exactly ___ of the number of zeros to the right of the final
nonzero digit as the perfect square.

A

half

58
Q

If a decimal with a finite number of decimal places is a perfect square, its square root will have exactly ___ of the number of
decimal places. Thus, a perfect square decimal must have an ___ number of decimal places.

A

Half, Even

59
Q

If a decimal with a finite number of decimal places is a perfect square, its square root will have exactly ___ of the number of
decimal places. Thus, a perfect square decimal must have an ___ number of decimal places.

A

Half, Even

60
Q

If two absolute values are equal, it must be true that the expressions within the absolute value bars are either

A

equals or opposites

61
Q

If two absolute values are equal, it must be true that the expressions within the absolute value bars are either

A

equals or opposites

62
Q

If x² < |x| and x≠0, the range of x is

A

-1 < x < 1

63
Q

If x² < |x| and x≠0, the range of x is

A

-1 < x < 1

GMAT (4 decks)

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