For how many positive integers x is 130/x an integer?
a) 8 b) 7 c) 6 d) 5 e) 3
If both the products and sum of four integers are even, which of the following could be the number of even integers in the group?
I. 0 II. 2 III. 4
a) I only b) II only c) III only d) II and III e) I, II, III
0.0025)(0.025)(0.00025)*10^k is an integer, what is the least possible value of k?
OA 12
Oak trees line both sides of a street for a lenght of 3/8 of a kilometer. If there is 16 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street? (1 kilometer = 1000 meters) 36 



If b < 2 and 2x – 3b = 0, which of the following must be true?
a) x > 3
b) x < 2
c) x = 3
d) x < 3
e) x > 3
My 1^{st}
If the sum of a set of ten different positive prime numbers is an even number, which of the following prime numbers CANNOT be in the set ?
A) 2, (B) 3, (C) 5, (D) 7, (E) 11
. The sum of the even numbers between 1 and n is 79*80, where n is an odd number, then n=?
Sum of 1st n odd nos = n^2
Sum of 1st n even nos = n(n+1)
Given n is odd here. There are (n1)/2 even integers here
Sum of 1st (n1)/2 even integers = (n1)/2 * ((n1)/2 +1 ) =79*80
DO NOT Multiply yet. Simplify
(n1)(n+1) = 79*80*4 = 158 * 160
n =159
At a certain bowling alley, it costs $0.50 to rent bowling shoes for the day and $1.25 to bowl 1 game. If a person has $12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day?
(A) 7
(B) 8
(C) 9
(D) 10
(E) 11
Forty percent of the rats included in an experiment were male rats. If some of the rats died during the experiment and 30 percent of the rats that died were male rats, what was the ratio of the death rate among the male rats to the death rate among the female rats?
Onefifth of the light switches produced by a cer­tain factory are defective. Fourfifths of the defective switches are rejected and one twentith of the nondefective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective?
(A) 4%
(B) 5%
(C) 6.25%
(D) 11%
(E) 16%
total defective = 20 of which 16 are rejected and 4 are sold
total sold = 80 = 76+4
Total defective which are sold = 4/80 = 1/20=5%
So. ans is B.
There are 150 students at Seward High School. 66 students play baseball, 45 play basketball, and 42 play soccer. 27 students play exactly two sports, and three students play all three of the sports. How many of the 150 students play none of the three sports?
A) 0
B) 27
C) 30
D) 99
E) 78 OA 30
If the number 51,1n9, where n represents the tens digit, is a multiple of 3, then the value of n could be which of the following
a.6
b.5
c.3
d.1
If k = 1, which of the following is (are) true?
I. k^k = k
II. k = k
III. k^0 = k
If X,Y and Z are positive integers such that 0<x<y<z and x is even, y is odd and z is prime which of the following is a possibel value of x+y+z
(A) 4
(B) 5
(C) 11
(D) 15
(E) 18
Which of the following ineq. Has a solution set that, when graphed on the number line, is a single segment of finite length?
 x^4 >= 1
 x^3 <= 27
 x^2 >= 16
 2<= mod. X <= 5
 2<= (3x+4) <=6
__________________
for which of following functions in this true F(a+b)=F(a)+f(b)
F(x)=X^2
= x+1
=x^1/2
=2/x
=3x
Data sufficiency
x is an int, is (x^2+1)(x+5) even number?
options
x is odd number
Each prime factor of x^2 is > 7 (this one not able to resolve)
A room contains 160 people, 15% of whom are women. A group of people, 30% of whom are women, leaves the room. Of the people remaining in the room, 10% are women. How many people left the room?
A10
B20
C40
D60
E80
what will be the sum of all factors of 360.
360 = (2^3) * (3^2) * (5^1)
sum of factors = (2^4)1/ (21) * (3^3) 1/ (31) * (5^2) 1/ (51) = 15*13*6= 1170
the formular of calculating the total number of matches in a tournament is G(n+1)=G(n)+n and G(2)=1, where n stands for the number of ppl participating in the tournament. if 20 players are playing in the tournament, how many matches are there ?
a. 180
b. 190
c. 200
d. 210
(20) = G(19) + 19
G(20) = G(19) + 19
= G(18) + 18 + 19
= ………….
= G(2) + 2 + 3 + 4 + ……….. + 19
= G(2) + 189
= 1 + 189
= 190
__________________
At College X the faculty to student ratio is 1;9. If twothirds of the students are female and onequarter of the faculty is female, what fraction of the combined students and faculty are female.
11/24
5/8
25/36
11/12
Consider 100 people, so faculty:student = 1:9 = 10 and 90
Of which 2/3 are female students = 60 and male students = 30
1/4 of faculty are female = 2.5
So required fraction is 62.5 / 100 = 5/8
there are four consecutive prime numbers in ascending order. the product of the first three is 4199 and of the last three is 7429. what would be the largest number and what would be the smallest number of the four numbers?
Let a,b,c,d be theprime nos.
abc = 4199
bcd = 7429
divide the two:
a/d = 4199/7429 = 13/23
Since we are talking about primes, a/d ratio is deterministic. Hence a=13 and d=23.
set has 16 numbers. If a number is three times the average of the other 15 numbers, the number is what fraction of the sum of the total numbers?
any short way?
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