GMAT 700 Level Questions

8/11/2019 GMAT 700 Level Questions

http://slidepdf.com/reader/full/gmat-700-level-questions 1/7

1.

2.

If x and y are positive, is the ratio of x to y greater than 3?

(1) The ratio of 2x to 3y is greater than 2.

(2) x is 2 more than y times 3.

3.

If k is a positive integer and k < 100 , is k even?

(1) k is the s!are of an integer.

(2) k is the "!#e of an integer.

$.

If the "ir"%e has radi!s &, 'hat is the area of the triang%e?

(1) * +

(2) + * 12

.

#ox "ontains red and #%!e #a%%s on%y. If there are - #a%%s in tota%, ho' many red #a%%s arein the #ox?

(1) If t'o #a%%s are random%y se%e"ted 'itho!t rep%a"ement, the pro#a#i%ity that #oth #a%%sare red is 1$



(2) If t'o #a%%s are random%y se%e"ted 'itho!t rep%a"ement, the pro#a#i%ity is 1& that thefirst #a%% is red and the se"ond #a%% is #%!e.

&.In ho' many 'ays "an 1& different gifts #e divided among fo!r "hi%dren s!"h that ea"h

"hi%d re"eives exa"t%y fo!r gifts?

/.

If ', x and y are different positive integers, and 'xy * 2$, is xy divisi#%e #y &?

(1) 'y is not divisi#%e #y &.

(2) x is even.

-.

id intended to type a sevendigit n!m#er, #!t the t'o 3s he meant to type did notappear. hat appeared instead 'as the fivedigit n!m#er 211. 4o' many differentsevendigit n!m#ers "o!%d id have meant to type?

5.

If %ines k and 6 are in the xy7"oordinate p%ane, is the s%ope of %ine k greater than the s%opeof %ine 6?

(1) The xinter"ept of %ine k is greater than the xinter"ept of %ine 6

(2) 8ines k and 6 interse"t at (/, 2)

10.If k is an nonnegative integer and 1k is a divisor of /5,32 then 3k k 3 *

11.

The va%!e of is "%osest to

12.In ho' many different 'ays "an 3 identi"a% green shirts and 3 identi"a% red shirts #e

distri#!ted among & "hi%dren s!"h that ea"h "hi%d re"eives a shirt?

13.In ho' many different 'ays "an 3 #oys and 3 gir%s #e seated in a ro' of & "hairs s!"hthat the gir%s are not separated, and the #oys are not separated?

1$.



#ox "ontains #ags of mar#%es. %% of the #ags ho%d the same n!m#er of mar#%es ex"eptone #ag, 'hi"h ho%ds one mar#%e more than ea"h of the other #ags ho%d. If the #ox"ontains a tota% of 2001 mar#%es, ho' many #ags are in the #ox?

(1) The n!m#er of #ags is #et'een 13 and 23 in"%!sive

(2) There is an even n!m#er of #ags, and there is an even n!m#er of mar#%es in the #ag"ontaining the extra mar#%e.

1.

1&.4o' many odd, positive divisors does $0 have?

1/.

If xa # * 1, 'hat is the va%!e of x ?

(1) a 9 #

(2) x : 0

1-.

In the xy"oordinate system, the distan"e #et'een points and isapproximate%y

15.The n!m#er ; is "reated #y 'riting the integers from 1 to 25 in"%!sive, so that ;*123$&/-510112/2-25 hat is the remainder 'hen ; is divided #y 5?

20.

et = >1, 3, $, &, 5, 12, 1

If three n!m#ers are random%y se%e"ted from set 'itho!t rep%a"ement, 'hat is the pro#a#i%ity that the s!m of the three n!m#ers is divisi#%e #y 3?

21.



22.If a re"tang%e has perimeter 'ith %ength 20 and a diagona% 'ith %ength 5, 'hat is the areaof the re"tang%e?

23.

The s!m of a%% the digits of the integers from 1- to 21 in"%!sive is 2$ (1@- @ 1@5 @ 2@0 @2@1 * 2$). hat is the s!m of a%% the digits of the integers from 0 to 55 in"%!sive?

2$.

; is a set of integers s!"h that

i) if x is in ;, then 2x is in ;

ii) if ea"h of x and y is in ;, then x @ y is in ;

Is 1 in ;?

(1) 1 is in ;.

(2) 3 is in ;.

2.

+ea o'ns ho' many more As than % o'ns?

(1) If +ea gives 5 of her As to %, then % 'i%% o'n t'i"e as many As as +ea o'ns.

(2) If +ea gives 1 A to %, and % p!r"hases $ additiona% As, then % and +ea 'i%%have an e!a% n!m#er of As.



2&.

hat is the va%!e of k?

(1) k $ *

(2) k 3 < k 2

2/.

Bne n!m#er, k , is se%e"ted at random from a set of 11 "onse"!tive even integers. hat isthe pro#a#i%ity thatk * 10?

(1) The average (arithmeti" mean) of the set is Cero.

(2) The pro#a#i%ity that k * 10 is the same as the pro#a#i%ity that k * 10.

2-.

If * + and A * AD then, in terms of x, the va%!e of y is

25.

dra'er "ontains - so"ks, and 2 so"ks are se%e"ted at random 'itho!t rep%a"ement. hatis the pro#a#i%ity that #oth so"ks are #%a"k?

(1) The pro#a#i%ity is %ess than 0.2 that the first so"k is #%a"k.

(2) The pro#a#i%ity is more than 0.- that the first so"k is 'hite.



30.

Eor a%% n!m#ers a and #, the operation is defined #y a # * a2 a#. If xy 9 0, then'hi"h of the fo%%o'ing "an #e e!a% to Cero?

I. x y

II. xy y

III. x (x @ y)

31.2&00 has ho' many positive divisors?

32.

Fark has fe'er than 5 "oins. Da"h "oin is either a !arter ('orth G0.2) or a dime ('orthG0.10). 4o' many dimes does Fark have?

(1) The tota% va%!e of FarkHs "oins is G1./0

(2) Fark has three times as many !arters as he has dimes.

33.

= >/1,/3,/5,-3,-/ +=>/,5,&1,&/

If one n!m#er is se%e"ted at random from set , and one n!m#er is se%e"ted at randomfrom set +, 'hat is the pro#a#i%ity that #oth n!m#ers are prime?

3$.

If A * &, 'hat is the %ength of +?

(1)(2) x * &0



3.hi"h of the fo%%o'ing e!ations is tr!e for a%% positive va%!es of x and y?

3&.In ho' many 'ays "an nn, +o#, h!"k, Aon and Dd #e seated in a ro' s!"h that nn

and +o# are not seated next to ea"h other?

3/.If n is an integer, 'hat is the %east possi#%e va%!e of n s!"h that $0,000,000 < n ?

3-.If k is an integer and 121 < k 2 < 22, then k "an have at most ho' many va%!es?

$0.

et ; "onsists of a finite n!m#er of "onse"!tive odd integers. If x is the sma%%est n!m#er

in ; and y is the greatest, then y x *

(1) The average (arithmeti" mean) of set ; is 73&.

(2) There are - n!m#ers in set ;.

$1.

ositive integers a, #, ", d and e are s!"h that a < # < " < d < e. If the average (arithmeti"mean) of the five n!m#ers is & and d # * 3, then 'hat is the greatest possi#%e range ofthe five n!m#ers?

$2.

x and y are positive integers s!"h that x < y. If * , then xy "o!%d e!a%

$3.$$.If points and + are random%y p%a"ed on the "ir"!mferen"e of a "ir"%e 'ith radi!s 2,'hat is the pro#a#i%ity that the %ength of "hord + is greater than 2?

$.

4o' many positive integers %ess than 100 have a remainder of 2 'hen divided #y 13?

$&.The points (0, 0), +(0, $a ) and (2a @ 1, 2a @ &) form a triang%e. If , 'hatis the area of triang%e +?

GMAT 700 Level Questions

Documents

Transcript of GMAT 700 Level Questions