GRE® Quant skills

[Quantskills]

If anyone has copy of quant skills please forward me
I have only few pages avlaible. Its awesome book for quant.

How to Use this practice book

Questions are based on difficulty level.

D-Difficult, M- Medium,E-Easy
Gre/Gmat questions are based on M type questions.Aspirants gets most of D type question in first 10 questions generally.one who is comfortable with M type questions can expect 80% marks whereas to get 100% one has to be confident on all type of questions.some of the questions are directly taken from official guide GMAT & ETS Bigbook for benefit of aspirants.Aspirant seeking any problem or explaination can reach the author at quantskills@gmail.com

About the Author

The author is well known face of gre/gmat/cat preparation market.He has been in this industry from long time.since there are lot of confusions regarding Gmat/Gre tests among aspirants, so this is tool to remove all apprehensions regarding these tests.since this is computer adaptive test so questions are also divided based on difficulty level.for these exams right approach is also necessary.many questions seems D type question but by using right approach it can be easily converted into E type question.For your feedback and explaination one is always welcome to quantskills@gmail.com

Copyright : QUANTSKILLS

Disclaimer- This is copyrighted version, so no part of this book can be published in anyway without prior permission of the author.
CONTENTS

Substitution/elimination 4

Logic 11

Number theory 17

Fractions and Decimals/equations/exponents 25

Simplifications 38

Inequality 48

Word problems-1

Average 57
Ratios and mixtures 61
Percents 70
Profit & Loss 76
Interest and Tax 81
Equation based on ages & currencies 83

Word problems-2
Work & speed distance & Time 88

Counting 97

Sequence & series 103

P& C 108

Probability 115

Statistics 123

Plane geometry 131

Solid geometry 161

Coordinate geometry 165
Data sufficiency 174

Substitution / Elimination

1. If x and y are perfect square which of the following is not necessarily perfect square

a) xy3 b) xy c) x3 d) x3y2 e) x+y
(S)

2. If o < x < 1
Which of the following is median of given expressions.
x3, x2, x

a) x3 b) x2 c) d) e) x
(M)
3. If x <-1
Which of the following has least value

a) x2 b) x2 c) d) 1x1 e) x3
(D)

4. If x > y and x & y both are positive numbers which of the following expressions must be less than 1.
a) x – y b) c) x + y d) e)| |
(M)

5. If product of 4 consecutive integers is equal to one of them what is smallest value of one of the integers.

a) 0 b) 1 c) 3 d) -3 e) 2
(M)

6 If a, b and c are distinct integers that are odd and positive. Which of the following statement can’t be true.

a) abc2 is odd
b) (a-b)2 c is even
c) (a + b -c)2 ( a + b) is even
d) (a-b) (b + c) (a + b - c) is odd
e) a + b + c is odd.
(M)


7 Which of the following has least value

a) (5)2 b) c) d) .23 e) .50
(M)

8 If a and b are integers then

5 a3 + 7 a2 + 2 a + b is not an integer
a
for what condition
a) a is positive
b) b is divisible by a
c) b is not divisible by a
d) a should be positive and b should not be divisible by a
e) a is perfect cube (M)

9 For how many Integers n, 2n = n2

a) 0 b) 1 c) 2 d) 3 e) 4
(M)

10 Four of the following expressions are equal which one is different for any real number x.

a) 2 x (x + 5) + 12
b) 2x (x + 3) + 3 (x + 4) + x
c) (x + 3)2 + (x + 1) ( x + 3)
d) (x + 1) (2x+3) + 2(x + 3)
e) 2 ( x + 1) (x + 3) + 2 (x + 3)
(M)

11 If x ≠ which one of the following will equal to -1 when multiplied by


a) b) c) d) e)
(S)

12 Which one of the following is solution of a for equation a5-2a2 = -1

a) 0 b) -1 c) 1 d) 2 e) 3

(S)
13 Which of the following can’t be difference bet´ two prime numbers.

a) 0 b) 1 c) 2 d) 5 e) 13
(M)

14 If x is even and y is odd which of the following can’t be true.

a) x + y is odd.
b) xy is even
c) x is multiple of y.
d) y is multiple of x.
e) xy is even
(M)

15 If c is positive Integer how many integers are bet´ c 2 c – 1 and

a) 4 b) c
d) e

(M)

16 If a and b are positive Integers how many integers are through ab and a(b+3)
a) 4 b) b + 3 – a c. 3a -1 d) 3a+1 e) 3ab – 1
(M)

17 If x is an integer which of the following is sum of next two even integers greater than 2 x + 1

a) 2x+4 b) 4x +2 c 2x+6 d) 4x+6 e) 4x+10
(M)

18 If x is odd multiple of 5 which of the following is never an integer.

a b) c d) e)
(D)

19 If a is even and b is odd which of the following could be even

a) a +
b) 3a +
c)

d) 3b +

e) a3 + b2

(M)

20 Poles are to be fixed on a straight road of 1000 feet distance between poles should be 20 feet. Assuming poles do not occupy any place. How many maximum number of poles can be placed on that road.

a) 40 b) 50 c) 51 d)49 e)3
(M)

21 A reader read a novel from page a to k. If pages are numbered consecutively how many pages has he read.

a) k – a
b) k + a
c) k – a – 1
d) k – a + 1
e) a – k + 1
(S)

22 If x3 + y2 is even then which of the following must be true

a) If x is even than y is odd.
b) If x is odd then y is even.
c) x and y both should be even.
d) x and y both should be odd.
e) If x is even y is even or if k is odd y must be odd.
(D)

23 ab is two digit number. If ba is number formed by reversing these digits so that ba > ab. Which of the following can’t be value of a.

a) 8 b) 1 c) 7 d) 9 e) 5
(M)

24 Which of the following is not possible points of intersection of a circle and a triangle
a) 3 b) 5 c) 1 d) 6 e) 8
(S)

25 If and a and b are integers which of the following must be true
a) a is multiple of 4
b) a is odd number
c) b is odd number
d) a is odd number
e) a is even number (M)

26 Sum of 2 digit positive number is 9. If 10 is added to number then sum of digits of resultant number is
a) 10 b) 1 c) 8 d) 1 or 10 e) 8 or 10
(M)

27 If is an integer which of the following must be true

a) is integer
b) is odd integer
c) x is an integer

e) x is odd integer

f) is an Integer
(M)

28 If
ab + c = a(b+c)
which of the following must be true
a) a = 0 and c = 0
b) a = 1 and b = 1
c) b = 1 and c = 0
d) a = 1 or b = 0
e) a = 1 or c = 0
(M)

29 If a > 0, which of the following is true
I. a3<2a< II. A2 ≤ III. 3a<a2<
a) I, II and III all
b) I & II
c) II & III
d) I & II
e) I only
(D)

30 what is x, if
(x-10)^2 + (x-20)^2 = x^2

a) 20 and 30
b) 30 and 40
c) 40 and 50
d) 10 and 50
e) 10 and 20 (M)

31) 4^x + 3 ^x = 5^x then x is,

a) 2
b) 3
c) 4
d) 8
e) 0 (M)