june quant questions

1) Three years ago men made up two out of every three internet users in America. Today the ratio of male to female users is about 1 to 1. In that time the number of American females using the internet has grown by 30,000,000, while the number of males who use the internet has grown by 100%. By how much has the total internet-user population increased in America in the past three years?

a 50,000,000
b 60,000,000
c 80,000,000
d 100,000,000
e 200,000,000

ans: D ...SOLVE IT ND VERIFY

2) 3,1,4,2, 3,1,4,2..

if the sequence gets repeated after every four numbers, what is the product of 67th and 68th numbers?

ans : 8

3 ) Given a triangle ABC on a co-ord axis, the co-ords of A = (0,0), B=(4,1), C=(2,4) are given
what is the area of the triangle..?

a) 5.2 b) 4.8 c) 6 d )6.8 e) 7

ans : 6

4 )If person A can do a job in 12hrs at a constant rate and B can do the same job in X hrs at another constant rate, and together they can do the job in 8 hrs , what is the value of X?

ans : 24hrs
5) 0<3^x/3^y<1
col A: X
col B: Y

ans:B

6) col A :3^2^3
col B : 3^5

ans:A

7)If probability of getting tails is 1/2 nd heads is 1/2 and if coin was tossed 3 times wat is probability of getting heads exactly 2 times

ans: 1/4

8)If x is non negative number then
col A: 2^x*4
col B: 4^x*2

ans: D

9) t=18!/15!
r=18^3
s=19*17*15

SOME options like t=s=r are given..its easy

10)If 16,82,162,200 are writeen in the form of 2^n*k for which number k value is greater .
ans: 162 coz 2^1*81 nd 200 was 2^2*50

11)In a class all members are students of band and chorus if 9 students are in band and if students only in chorus are double the students in both the band and chorus find total strength of class?

a.20
b.25
c.30
d.60
e.90

12)A circle is given and triangle is inscribed in it with its sides as 2 and 4 and unknown side is diameter of circle .find area of circle?

ans: 3pi

13)A rectangular solid H with its measurements as u v z and another W rect solid with its measurements as p q r and if p nd q are 10% less than u nd v and r is 20% greater than z.
COL A: volume of H solid
COL B: volume of W solid

14)If n is a positive integer then

COL A: highest no of distinct prime numbers for n^3
COL B: n

15)In set of 7 integers where no two integers are equal then
col a: avg mean of 7 integers
col b: median of 3 greatest integers
ANS: D

16)A circle was given with centre as the origin was given. Two points are on surface of the circle.One(a,b) and other (c,d).
COL A: a^2+b^2
COL B : c^2+d^2

ANS :C

17) (1000+1),(1000+2),(1000+3),(1000+4) is NOT divisible by which number
a) 4 b) 6 c)12 d)24 e)16
ANS 16

18)If x is a positive no,when it is divisible by 9 it leaves remainder 2.when x it is divided with 15 it leaves remainder 8.which of the foll is the value of x
a)29 b)23 c)38 d)15 e)45

ANS 38

19)A travels some Xmiles/hr frm A to B and returns with Miles/hr
Formula=2xy/(x+y),Problem on this values of x and y was given

6) - 8,-3,3,8,5 the sequence is the magnitude of difference between two no.s.What is the the first no. u wil get.? (the problem is not exact but check out)
Ans 5

20)A apple costs 8 pounds and orange cost 13 pounds and some condition given(dnt rem d statement xactly) apple= oranges and total weight is 100 pounds.
COL A: number of apples
COL B: number of oranges

ANS :A Finally we get 6 apples and 4 ornages.(8*6+13*4=100)

21)(10-a)(10-b)(10-c)=10, a.b,c are integer.
maximum posssible value of a.
a)10 b)0 c)21 d)20 e) -10

Ans: 20

22) f(x)=x^2+x

COL A :f(x+1)
COL B :f(x)+f(1)

ANS: D

23) number line problem mod(x+2)<=3
Answers are on number line

24)John have 7 freinds and cathy have 6 friends.They dont have any freind in common if they want to invite 5 people to wedding together with atleast 1 freind of john and 1 freind of cathy then find how many ways they can choose?

a.1100
b.1180
c.1260
d.1320
e.dont remember

25) 1 1 col A: x
col B: 2
ans:D

26)Find sum of consecutive integers between 106 to 214 ?

ans: averag=214+106/2=160, num of integers is given by 214-106+1=109 therefore sum=109*160 this is applicable for any sum of consecutive numbers.

27)If x is non negative number(REPEATED QUESTION)
col A: 2^x+2^x+2^x+2^x
col B: 4^x+4^x

ans :D A after simpli 2^x*4 nd B 4^x*2 in all cases B is greater but both equal when X=0 coz 0 is positive integer.

28)Given cordinates as (5,3) and (6,5) and asked to find which of the following is true.In options were given equation of straight lines it was easy coz only one option got correct slope so no need to find total equation find slope its enough.

29)If x is standard deviation for n numbers if all numbers are increased by 12.5 and if new standard deviation y then
col A: x
col B: y
ans: C (the std deviation doesnt change)

30)col A: 14C2
col B: 14C11 ...which is greater??
ans: B

31)The greatest prime divisor of product of 123 and 255 is...
A)3 B)5 C)17 D)41 E)53

32)A quadrilateral was circumscribed by a circle whose diameter is 30.what is the maximum area of the qudrilateral that is possible??
A)15*pi; B)225*pi; C)300 D)450 E)550

ans:D ( MAX AREA: (D^2)/2 )

33)Entire team is either band or chorus or both...9 members are in band....10% of total people in the team are their in both band and chorus....The no of people who are only in band are twice the no of people who r their in both chorus and band...wht is the total no. of people in the team??
Ans--) no of members in band=9;
common to chorus and band=0.1x;
no of members only in band=0.2x;(twice that of common people);;

so 9-0.1x=0.2x;.... u get it as x=30...

34) col A:no of positive prime factors of npq(wher n,p,q are prime numbers greater than 10 and count factors including 1 and npq);;

col B: 8

Ans: C
35)y<1, -2x>4
column A: x+y
column B: 0
ANS:B