GRE QUANT- NUMBER THEORY

GRE QUANT
NUMBER THEORY, ARITHMETIC

Question 1
If
000,000,1100  n
where n is a positive integer, what is the greatest value
of
n
2
1
i) ½ ii) 1 iii)5 iv)32 v) 64
6
10100  n
n<6 possible choices are 32
1
,
16
1
,
8
1
,
4
1
,
2
1
,1
2
1
,
2
1
,
2
1
,
2
1
,
2
1
,
2
1
54320

Greatest value = 1

Question 2
3124106
3333
64)4)4)2)2)
4444
viviiiiii

433333
4)4(44444 
Answer = iii

Question 3
A B
x 3
x
If x = 0, A =B
If x = 2, A < B
If x = -2,A > B
The relationship cannot be determined from the information given

Question 4
Which value of x satisfies
11 22
3


 x
x
x
x
i) x= 0 ii) x = -1 iii) x = 1
0
1
0)1()1(
0))(1(
)1()1(
)1()1(
22
32
223
223






x
x
xxx
xxx
xxxx
xxxx

Question 5
 2345
)2()2(
15
2)i
20
2)ii 26
2)iii )12(2) 146
iv
)12(222 146620

Answer = iv

Question 6
,1333   xxx
If Find x
1
01
313
1)3(3
01






x
x
x
x

Question 7
If A can mow the lawn in 30 minutes and with the help of B can mow the lawn in 20 minutes,
how long will it take B alone to mow the lawn
A’s 1 minute work =
30
1
A and B’s 1 minute work =
20
1
B’s 1 minute work =
60
1
60
2030
30
1
20
1



B takes 60 minutes or 1 hour to do the work
****************************

GRE QUANT- NUMBER THEORY

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