Tuesday, September 18, 2007

SEPTEMBER THREAD - updated regularly


SEPTEMBER THREAD - updated regularly


1)col a:(2^8)*(15^5)+(2^8)*(15^5)
col b:(5^10)*(8^2)
Ans- B

2) Given that x*=(x-1)/x condition is x<0 x="x*..." x=" 9000/600" 99 =" 3^99" 33 =" 9^33" y="-5" y="5" 2y="5" 3y="-15" cube="X" cube="Xroot2" surface="Xroot2*X=" 2="main"> 0 & X>Y
Col A -------------------XZ
Col B-------------------YZ.
Sol: Case I: X=3, Y=2, Z=1 then col A is Greater.
Case II: X=5, Y= -2, Z= -3 then Col B is Greater
Therefore the answer is D

15). the mean of the three numbers 2X, 7X, X^2 (X square) is 12 what is the range of the given data (X<0). 3 =" 12" 2="36" 36="0" x=" -12" range =" Highest" commodity =" 144-" 3y="4" 4 =" 1" 3 =" 1" circle =" Pi" circle =" Pi" probability ="number" chance =" (X^2)">
--------------------Number of people use only pagers
Col B ------------------------------------------------------- X – 12
Sol: Draw a Venn diagram Total number of people who watch television = 84.
No of people who watch TV and use pager = 84-X
Number of people who use only pager = 72- (84 – X) = 72- 84 + X = X- 12 Therefore C is the answer.

20). Find the Y – intercept of the equation 3X-2Y=5
Sol: X/ (5/3) + Y/ (-5/2) = 1,
Therefore the Y intercept is: -5/2

21). The amount of Rs.600/- is given at a rate of X% per annum , If he receives additional Rs.90/- after an year then what is the rate of interest ( i.e.- X )
Sol: For 600 rupees ------------------------90 rupees interest For 100 rupees-------------------------X X= 9000/600 = 15 rupees for 100 , which means 15%

Saturday, September 8, 2007

SEPTEMBER THREAD - updated regularly

SEPTEMBER THREAD - updated regularly

1) Given a square ABCD and E and F are the midpoints of sides CD and DA then what is d ratio of area of the triangle BEA and the square ABCD...
options were...1) 3/8 2) 5/8 3)1/2
ans is 1/2

2) The average length of 5 frogs is 4.7m. another 5 frogs length are ( given some 5 no.'s here) like 4.5,5....( this questions is repeating many times rite from sep 3rd..So practice well)
cola....standard deviation of the lengths of 1st 5 frog’s
colb.....standard deviation of next 5 frogs.....

3) The near value of 10000 + sqrt (568.01+ 623.01)
a) 5000(no was in some 500 change)b) 6000c) 9000d) 10100e) 20200
Ans d

4) xyz=0 && x>y
col a.....xz
colb..... yz
and ans is D.
since if u take z=0 den ans is c and if u take y=0 (becoz x can’t be 0 as x>y) and x=1 and z=2..den ans is a..So dats y d final ans is d

5. The mean of the three numbers 2X, 7X, X^2 (X square) is 12 what is the range of the given data (X<0).>

Sol: (2X+7X+X^2)/3 = 129
X+X^2=36X^2+9X-36=0
By solving the roots are 3 and –12, but it is given that X<0 x=" -12">
Range = Highest commodity – lowest commodity= 144- (-84)= 228

6.) 2X+3Y=4 what is the X- intercept of the line
Sol: 2X/4 + 3Y/4 = 1
X/2 + Y/4/3 = 1
X- intercept is 2

7 .The Three vertices of a parallelogram is given as (0, 0) (1, 2) (3, 3) and asked to find out the fourth vertices. Sol: The answer is (2, 1), Figure is given and by that it is very easy to answer that question

8)There was a sum based on co-ordinate geometry-a parallelogram was given with one vertices at 0 and two more in +ve xy plane-we were asked to find the 4 the co-ordinate geometry was sort of vague
(5x+6/5x-6) =col a
(5x-6)/(5x+)=col b

9 A circle is drawn inside an other circle, the center of both circles are the same, the radius of the first circle is X and the radius of the second circle is X+Y, we are asked to find out the probability that if a point is taken from the circle the point should lie in the smaller circle of radius X.
Sol: Area of smaller circle = Pi (X^2)
Area of larger circle = Pi (X+Y) ^2
the probability = Number of favorable chance / Total number of chance= (X^2) / (X+Y) ^ 2

10. There are 84 people who watch television and 72 members use pagers and X members watch only Television.
Col A--------------------- Number of people uses only pagers
Col B----------------------X – 12
Sol: Draw a Venn diagram Total number of ppl who watch television = 84.
No of ppl who watch TV and use pager = 84-X
Number of ppl who use only pager = 72- (84 – X) = 72- 84 + X= X- 12
Therefore C is the answer.

11. Find the Y – intercept of the equation 3X-2Y=5
Sol: X/ (5/3) + Y/ (-5/2) = 1, Therefore the Y intercept is: -5/2

12. The amount of Rs.600/- is given at a rate of X% per annum , If he receives additional Rs.90/- after an year then what is the rate of interest ( i.e.- X )
So ans 15%

13. 90 13. 90
Col A ---------------The perimeter of the Triangle
Col B----------------- 24

Sol: If X = 90 then triangle is a RAT ( right angle triangle ), which satisfies Pythagorean theorem from which third side is 10 , then perimeter of triangle is 24 ( 6 + 8 + 10 ), but it is clearly given that 90
Ans) 8 times

15) X1, x2......x6 are numbers such that every number is 1/2 less than previous number
if x2+x4+x6=42
x1+x3+x5= ?
a) 24b) 42c) 84d) 104
Ans) 84

16) xy<0
cola-------------------/xy/
colb-------------- /x/+/y/
ans) D

17) Given a circle 72 deg of the circle is shaded, now circle will look like sector with x, a, b points on the sector. Area of shaded region (sector) was 5pie\9find length of arc.
a)2pi\3b)pi\4c)pi\2d)5pi\2e) 3pi\2
ans)A

18) two points on coordinate axis r given (3,3) (-5,-5) which lie on line l and line k is perpendicular to l.options include two pairs of points ex:(7,-3) (3,8)asked to find points which do not lie on line


Tuesday, September 4, 2007

SEPTEMBER THREAD - upto 5&6

SEPTEMBER THREAD - upto 5&6

1)x=-x ,y=5,which of the foll is must be -ve
a)x+y b)x^2y c)xy^2 d)xy e) x*y^2

Ans.x*y^2

2)When W is divided by 13 it leaves remainder 1.When the same number W is divided by 15 leaves remainder 14.What is the value of W?

Options:A)14 B)40 C)44 D)27 E)29
ans)a


3) xy is not= 0
col a:---------- -x-y

col b: ----------x+y

4)In the city the code H_ P_ 4_ _ 0 is given. How many no. can be possible if 1st blank is filled by any letter and other 3 blanks r filled by any digits with repetition?
Ans. 26*10*10*10=26000

5)1/x = y/1where x and y are positive integers
cola-----------x
colB-----------y

Ans. C

6)If g(X)=3^(x-1) then( g(x+1)-g(x))/2=_______Ans. g(x)

7)If company's 30% products are new products and from that new products 60%products are liked by people. So, the percentage of new products which are not liked by people.

Ans. 12%

8)4*(14^10)*(7^2)=_______ Ans. 14^12

9)If 2 is a factor of (3x+1) then,
colA------------------1^x
colB----------------1

Ans. B

10)In company 1/4 of emp are archit.If 60 emp are added out of which 50 are archit.than ratio of archi changes to total emp. is 1/3.If No emp leaves the job in all, there r how many emp. in company now?
Options....180,360,420,720

ans. 420

11) If (3x+4) < -6, then
colA ----------l3x+4l
ColB-----------5

Ans. A

The graph question was some thing like this it is a column graph. The white column indicates the No. of people moving either out of the city but not out of the state. And the black one indicates the no. of people moving out of the state.

12)Ratio of the No. of people moving out of the city but not out of the state to the no of people moving out of the state is the highest for which group,Ans. Last one has highest value (5/0.5=10 is highest among the all ratio)

13)In the 30-39 column, what is the portion of all the people is not gone out side the city or out side the state Ans. 83% most prob.Another graph showed the marks obtain by 11 students in two tests. Test 1 on the x axis and test 2 on the y axis

14) What is the median mark of the classAns.120

15) In any test no. of the students which get marks below 40 are what percent of the total.Ans. From the graph it will be L M and N in test 1 and L and P in test 2 are those who get marks below 40 i.e. a total of 4 students (and not 5,because L is repeated). Therefore 4 is what % of 11…..and that’s the ans.


16) colA: S.D. of 1,1,11
colB: S.D. of 2,2,22
Ans. B

17) There are n no. with 8 value of each and n+2 no. with the value of 10. So, what is the average value of the all no.?Ans. (8n+10n+20)/ (n+n+2) = (18n+20)/ (2n+2) = (9n+10) (n+1)


Sunday, September 2, 2007

SEPTEMBER THREAD - upto 2&3

SEPTEMBER THREAD - upto 2&3

1) Survey was conducted. It came out that 87 people liked red 91 liked
Silver 91 liked blue. Now there were 9 who liked only red, 10 who liked
Only silver and 12 who liked only blue. There were a total of 40 who
Liked all these colors. Find the total number of people who liked red or
Silver but dint likes blue?


2) m n are positive integers.
col a: 1/ (2m) ^n^m
col b: 1/2^mn
Ans is col b is greater because 1/ (2m) ^n^m=t/ (2m) ^mn multiply
2^mn on both sides then cola will have 1/m^mn and col be will be 1
Hence I conclude that colB will be greater

3) He have given 3 bags all have red and white marbles: in first bag 4r n
6w second bag: 5r, 6w and third bag 5 red 5 w, they asked: if one
Marble is taken from first bag and transfer to second bag what is the
Probability that it is red? (They gave numbers to the bag so no need of
Third bag it is just for confusion)
The ans is :( 4c1/10c1 * 6c1/12c1) + (6c1/10c1 * 5c1/12c1)

4) The vertices of square S are (-1,-2), (-1, 1), (2,-2) and (2, 1)
What is the point where the diagonals of the square S meet?
Finding mp of 1 and 3
-1+2/2 -2-2/2
=1/2 =-2
(1/2,-2)
Answer will be 1/2,-1/2

5) Col A: 2^7 *5^4
col B: 10^4*2^3

6) Ladder of 5 ft length is in a slant position against a wall. The base of the ladder is pulled y ft away from the wall and so the top of the ladder moved x ft towards the ground.
Col a :---> x
col b :---> y

7) Two cylindrical containers are there. One with internal radius 3 inches
Other with internal radius 6 inches. The 3 inch cylinder is of 10 inch
Height of which upto 9 inches was filled with a liquid. What would be?
The depth of the the liquid in the 2nd container if 1st container is
Emptied into the second container (previously empty)
Ans: 2.25 inches

8) K is a +ve integer. The function f(x) is defined as f(x) = remainder when x is divided by k ==> f(x) = x%k, then what is the value of k, if f (k+25) =3

9) There are 4 officers and 5 jawans. In how many ways a group of 6 people
Can be formed if the group consists exactly 1 officer
Sol: It cannot be 4p1*5!..

10) No. of articles sold 15, 10, 30, 45 Price per unit (in dollars) 10.15, 18.5, 14, 12
What is the approximate average price per unit?
And is 13.50

11) If x bar is 1- x bar, and for all value of x if y=x bar, then what is ybar
Ans is X

12) If X is a positive integer and when divided by 7 has the remainder 3, then what is the remainder when x^2-5 is divided by 7?



Monday, August 20, 2007

AUGUST THREAD - upto 20&21

AUGUST THREAD - upto 20&21


1) Line and a circle lie in one plane. The line passes through the center of the circle.
Col A Col B
No of points though which the line passes through the circle 2
Ans is C.

2) 3x+2=8
Col A Col B
X 3

3) A vase contains only roses and tulips. The probability of selecting roses is K and that for tulips is 2K.
Col A Col B
K 1-K
Ans B

4) A (B) = - (A-2B), then what is the value of 3(2)?
Ans) -1/81

5) there is a triangle whose co-ordinates of the vertices were given.
Col A Col B
Measure of angle B 90
Ans is C

6) S=Set of integers which are multiple of 6, T= Set of integers which are multiple of 8
No. of integers from 1 to 100 which belong to both the sets?
Ans. Its 4. (24, 48, 72 and 96)

7) If x is a positive integer, and 2 is a factor of 3x+1 then,
Col A Col B
(-1x) 1
Ans is B. Because for 2 to be a factor of 3x+1, x should always be odd and –1 to the power odd is always –1.

8) There are title 15 boys. Select 12 out of 15 & selection of 12 is done randomly. Than probability of there selection.
A=436
B=300
C=60
D=15
E=12
Sol: Selection of 12 Boys from 15 ....can be done in 15c12 ways....
so it is = 15! / (3! * 12 ! )
= 455

9) If X is a positive integer and when divided by 7 has the remainder 3, then what is the remainder when x2-5 is divided by 7?

10) Volume of cubes A and B are x and 2x respectively is a positive integer.
col A col B
Ratio of length of cube A to the length of cube B ½
Ans. Is A

11) colA colB
(0.001)-1 + (0.9999)-1 (0.002)-1 + (0.9998)-1

12) (this question is just a part of what I could remember)
Total Annual income of 600 companies are determined. From this Estimated Annual Incomes (EAI) are determined. F, G, H are three companies which have EAI as 30, 40, and 60 percentile of the total.
colA colB
Difference in EAI between F and G Difference in EAI between G and H
Ans is D, because we cannot determine percentile from the data given.

13) The annual income of a particular place is the annual revenue minus the annual expense. If annual income is 1/4th of the annual expense, then
colA col B
Fraction of annual revenue the annual income is 1/5
Ans is A

14)From the figure below, it was asked that if AD=DC,and the co-ordinates of all the three vertices of the triangle were given.(D is between A and C)
col A col B
Area of triangle ADB 10
Ans is C

15) Which of the following is the least integer which can be expressed as the product of four different integers all of which are between-5 and 4 inclusive
A)-60 B)-120 C)-180 D)-240 E)-500
The answer is D.

16) if x bar is 1- x bar, and for all value of x if y=x bar, then what is y bar,
ans is X

17) No. of articles sold 15 10 30 45
Price per unit (in dollars) 10.15 18.5 14 12

18) what is the approximate average price per unit?
Ans is 13.50

19)company r has 60 more people than s
and t have 3/4 of the r
col a people in s
col b people in t (ANS:D)

20) There are 4 officers and 5 jawans. In how many ways a group of 6 people can be formed if the group consists exactly 1 officer
Sol: It cannot be 4p1*5!..

Saturday, August 18, 2007


AUGUST THREAD - upto 18&19

1) The vertices of square S are (-1,-2), (-1, 1), (2,-2) and (2, 1)
what is the point where the diagonals of the square S meet?
Ans: (1/2, -1/2)

2) series 1) 1, 1, 11
series 2) 2,2,22
col A-->std. deviation of series 1
col B-->std. deviation of series 2

3) Z= [(123) ^4]-[(123) ^3] + [(123) ^2]-(123) if z is divided by 122 what is the remainder?

4) For road widening the length of a rectangular plot is decreased by 15% and its breadth is increased by 15%.
Col A-->area of the original plot
col B-->area of the changed plot

5) k is a +ve integer. The function f(x) is defined as f(x) = remainder when x is divided by k ==> f(x) = x%k, then what is the value of k, if f (k+25) =3

6) two cylindrical containers are there. One with internal radius 3 inches other with internal radius 6 inches. The 3 inch cylinder is of 10 inch height of which upto 9 inches was filled with a liquid. What would be the depth of the the liquid in the 2nd container if 1st container is emptied into the second container (previously empty)
Ans: 2.25 inches

7) xy>0
col a :--> y
col b :--> 0
Ans: D

8) A ladder of 5 ft length is in a slant position against a wall. The base of the ladder is
pulled y ft away from the wall and so the top of the ladder moved x ft towards the ground.
Col a :--->x
col b :--->y

9) for road widening the length of a rectangular plot is decreased by 15% and its breadth is increased by 15%.

Col A-->area of the original plot
col B-->area of the changed plot

10) Col A col B
2^7 *5^4 10^4*2^3

11) The vertices of square S are (-1,-2), (-1, 1), (2,-2) and (2, 1) what is the point where the diagonals of the square S meet?
Ans: (1/2, -1/2)

12) Set --11, 1, 11 set2--- 2,2,22
cola s.d of first set
colB s.d. of other set

13) A () B=-A^2B then find 2()-1

14) In a plane, given l and n lines are parallel. Given n equation as 2y+3x=4
then what is the slope of m?

15) A circle is inscribed in a square.
col A colB
diameter of circle diagonal of square

16)a@b is defined as - (a to the power -2b) so what is the value of 3@2
a) 12 b)-81 c) 1/81 d)-1/81 e)-12
ans is -1/81

17) circle and line lie on the same plane, line l passes through the centre of the circle
cola col b
no. of points the line 2 intersects with the circle

18) A ladder of 5 ft length is in a slant position against a wall. The base of the ladder is
pulled y ft away from the wall and so the top of the ladder moved x ft towards the ground.
Col a :--->x
col b:--->y
Ans: D

19) The vertices of square S are (-1,-2), (-1, 1), (2,-2) and (2, 1)
what is the point where the diagonals of the square S meet?
Finding mp of 1 and 3
-1+2/2 -2-2/2
=1/2 =-2
(1/2,-2)

20) they have given 3 bags all have red and white marbles: in first bag 4r n 6w second bag : 5r , 6w and third bag 5 red 5 w , they asked: if one marble is taken from first bag and transfer to second bag what is the probability that it is red?( they gave numbers to the bag so no need of third bag it is just for confusion)
the ans is :(4c1/10c1 * 6c1/12c1)+ (6c1/10c1 * 5c1/12c1)

Monday, August 13, 2007

August quant

AUGUST THREAD - upto 16&17

1) A survey was conducted. It came out that 87 people liked red 91 liked silver 91 liked blue. Now there were 9 who liked only red, 10 who liked only silver and 12 who liked only blue. There were a total of 40 who liked all these colors. Find the total number of people who liked red or silver but dint like blue?

2)x=10y+2
cola col b
tenth digit of x unit digit of y

3)two computer square chips r there x,y.side of y is 0.1more then that of x and the area of y is 0.75 more then that of x.find the side of y.
(1)3.7
(2)3.8
(3)3.9
(4)3.6

4) Two computer square chips r there x, y.side of y is 0.1 more than that of x and the area of y is 0.75 more than that of x.find the side of y.
ans) y=x+0.1
(x+0.1) ^2=0.75+x^2
on calculating x=3.7
Y=3.7+0.1=3.8
ans: 3.8

5) Col a col b
1 2^-3.4^-3 6^-3
6) col a col b

1/101+1/102+1/103 1/103+1/102+1/101

7)x,y females have avg age 56 and m mails 70 some what like find x,y if so mind avg given 4,avg in 3 tests 86 how much should get in 4th to score avg 89


8) In the x-y plane.. The figure above represents the graph of the function y=f(x)
which of the following values would be exactly equal to f (1.3)
==> f (1.3) =?
a)f(-0.3) b)f(-0.7) c)f(-1.3) d)f(0.3) e)f(0.7)

9)if 3 books are moved from shelf S to shelf T then both S and T will be having the same number of books....and if 7 books are moved from T to S then S will be having 3 times the number of books in T..Find the total number of books in S and T.

10) IF A&B are no’s from 200 to 999 and
tens place of A is 8
tens place of B is 6

Column A column B
A-B 2

11) col a col b

No b/n 1 to 50 inclusive both that devisal by 3 no b/n 51 to100 inclusive both that devisal by 3

12) Col a col b

b/16 b/17

13) n is the least possible no. such that 18n is a perfect square. M is the least no. such that 9m is a perfect square.
Col a Col B

N m
Ans. n (because m is 1 and n has to be higher (2) to make 18n a perfect square

14) n>2
column A column B

115*n 215(n-1)

15)4>if x,y,z are divisible by 7 and remainder is 3 then what is the remainder wen x+y+z is divided by 7.
Ans: 2

16) if net income=annual revenue-expenditure and if net income=4*expenditure then wat is expenditure as a fraction of annual revenue.
Col A Col B
expenditure as a fraction of annual revenue. 1/5

(ANS: C)


17) company r has 60 more people than s
and t have 3/4 of the r
col a col b

People in s people in t

(ANS: D)

18) A tabulated columns r given.
Classes median score no of students
class A 74 50
class B 78 65
cola colB
median score of 115 students 76

19)12 people sitting around a circular table each will require minimum place of 2.75, what is the least dial of table possible (ANS: 10.5 Approx 11)

20) There are total 15 boys. Select 12 out of 15 & selection of 12 is done randomly. Than probability of there selection.
455 300 60 15 12

(ANS:455)

21)A triangle ABC was inscribed in a semi circle and sides of the triangle were given 6&8 and a line is drawn from vertex of triangle to the center D and asked to find the length of line of B to D it becomes radius of triangle
0 6 8 10 12 (ANS:10)

22) Area of a circular region given 250 and asked to find the radius of the circular region
2 5 7 10 11

23) col A col B
(0.001)-1 + (0.9999)-1 (0.002)-1 + (0.9998)-1

24)a number when divided by 3 leaves a remainder 1. When the same number divided by 15 leaves the remainder 13?

15, 27,35,40,44

25) If net income=annual revenue-expenditure and if net income=4*expenditure then what is expenditure as a fraction of annual revenue.
Col A Col B
expenditure as a fraction of annual revenue. 1/5

(ANS: C)


Sunday, August 12, 2007

AUGUST THREAD - updated regularly


AUGUST THREAD - upto 12

1)1<2 style=""> col b
x^3 7.9
2)m n are positive integers.
col a: col b:
1/(2m)^n^m 1/2^mn

3)diameter of a circular region of area 4pie is used as unit of length how many units of lenghts is diameter of a circular region of area 100pie
5
10
12 1/2
20
25

4)ABC is a triangle AC is the base angle B=60,c=45 and a perpendicular is drawn from A to bc and AB=1
col A col B
BC
sqrt3

5)which of the following cannot be t factor of 2^n . 3^k n and are pos integers
6
8
27
42
54
ans:42

6)g(x)=3^x-1 - then find g(x+1)-g(x)/2

7)A triangle was given ABC WITH ANGLES 50 AND 40.A DIAGONAL LINE IS DRAWN AT THE CENTRE
COLA: COLB:
lenght of AD {AD IS LOCATED AC} B/N LENGHT OF AB
8)x+y=8 and xy=12 thn column A x(1+y)+y column B 20

9)There are 24 oranges in 1 bag.and 8 bags in 1 box then how many dozens in 24 boxes.

Ans) 1 bag contains 2 dozens
1 box contains 2*8=16 dozens
24 boxes contains 24*16=384 dozens
10) a sphere with a radius of r=1 metre....it is revolving around its vertical axis and completes one rotation in 1 second.....find the speed at which it is rotating and it is in the range of
a)0 to pie
b)1 to pie
c)0 to 2pie
d)1 to 2pie

11) there are "r" sections and each section is divide into "t" no. of fields and Beth n Jordan water these fields everyday ...if on Monday Beth does his share of watering and also 1/3 of Jordan’s work.......then
column a column b
beths normal share rt/4of work

12) ann deposited $10,000 for x yrs at an interest of 6%.... while David deposited $ 12,000 for y yrs at interest of 4.5%......
col A col B
amnt ann earned amnt david earned
Ans) as column a : 10000(1.06)^x
and column b: 12000(1.045)^y

13 )A CIRCLE WAS INSCRIBED IN A SQUARE.AREA OF SQUARE IS 36PIE.WHAT IS THE AREA OF CIRCLE.

14) n>1
colA colB
115n 215(n-1)
ans) is D

15) z>y>x>1
colA colB
z(x+y+1) y(x+z+1)
A

16) A()B=-A^2B then find 2()-1
problem on symbol
ANS) -1/4

17) 1)5<9><-12 col A col B
/x/ /y/

18) colA col B
2^7 *5^4 10^4*2^3

19)A put his amount on x percentage of interest while B put some amount on x/2 percentage of interest .A getting d dollars as interest and B getting 2d dollars on interest..(This was long narrated Q. I have written in brief)
colA colB

1 amount of an amount of B


20)A put his amount on x percentage of interest while B put some amount on x/2 percentage of interest .A getting d dollars as interest and B getting 2d dollars on interest..(this was long narrated Q. I have written in brief)
colA colB

amount of A amount of B
ans) the prin. of A nd B be A & B

d=AX/100
nd
2d=BX/200

B is the correct answer

21) 1,1,11 2,2,22
colA colB

s.d of first set s.d. of othr set
ans B

22) In a plane ,given l and n lines are parallel. given n equation as 2y+3x=4
then what is the slope of m?

23) A circle is inscribed in a square.
col A colB
diameter of circle diagonal of square

24) a line and circle lie in a single plane......the line passes through the circle.......
column a

it meets the circle at no.of points

column b
2

25) word problems-----like ther is some company...it produced 30% new products last year.in that 60% were sold.what is the % of new pproducts didnt sold?

26)6root pie is the side of square
3root pie is radius of cirle
pie*r^2 ll give u circl's area.........

z= [(123)^4]-[(123)^3]+[(123)^2]-(123)

if z is divided by 122 what is the remainder?

0....1....2....3....4

Ans: 0


Saturday, August 11, 2007

August - Quant Questions


AUGUST THREAD - upto 10


1) a1=5, a2=10, a3=10^5 in general an= [a (n-1)] ^ [a (n-2)] No. of digits in a5?

2)1 kg=2.2 pounds x

Col A---no of pounds for x kgs

Col B---no of kgs for y pounds

3) (2.007/0.007) + (2.007/2) =?

4) X^2=(y^2) +4 y<0

Col A--- x

Col B--- y

5) Col A--- no b/n 1 to 50 inclusive both that divisable by 3

Col B--- no b/n 51 to 100 inclusive both that divisable by 3

Ans is B

6) Image that a circle inscribed in square. Side of the square is 60 m. find fraction of are that not cover by the circle.

Ans= (4-pi)/4

7) given that n is number. When n divide by 7 it gives remainder of 3. Then find remainder when n^2-5 is divide by the 7

A=2

B=4

C=6

D=8

E=10

ANS=4

8) colA colB

1/.001+1/.9999 1/.002+ 1/.998

Ans) 1000+10000/9999 > 500+10000/9980

Ans is A

9) R is a multiple of 3 and S is a multiple of 7 what is the least number that divides the product of R and S?

10) Sixty-eight people are sitting in 20 cars and each car contains at most 4 people. What is the maximum possible number of cars that could contain exactly 1 of the 68 people?

(A) 2 (B) 3 (C) 4 (D) 8 (E) 12

11) In an election between two candidates who got 45% of the valid votes was defeated

By 150 votes. Find the total number of votes, if 80% of the votes polled were valid.

1725

1775

1825

1850

1875

12) A circle is inscribed in a square.

Col A ---diameter of circle

Col B ---diagonal of square

13) U is sum of first 100 +ve even numbers

V is sum of first 100 +ve odd numbers

Col A-> U-V

Col B-> 100.

14) For road widening the length of a rectangular plot is decreased by 15% and its breadth is increased by 15%.

Col A--area of the original plot

Col B--area of the changed plot

Ans is A

15) Z= [(123) ^4]-[(123) ^3] + [(123) ^2]-(123) if z is divided by 122 what is the remainder?

0....1....2....3....4

Ans: 0

16) The vertices of square S are (-1,-2), (-1, 1), (2,-2) and (2, 1) what is the point where the diagonals of the square S meet?

Ans: (1/2, -1/2)

17) Series1à1, 1, 11

Series 2à2,2,22

Col A--std. deviation of series 1

Col B--std. deviation of series 2

18) For road widening the length of a rectangular plot is decreased by 15% and its breadth is increased by 15%.

Col A--area of the original plot

Col B--area of the changed plot

19) K is a +ve integer. The function f(x) is defined as f(x) = remainder when x is divided by k ==> f(x) = x%k then what is the value of k, if f (k+25) =3

Ans: 21

20) Xy>0

Col A: -- y

Col B: -- 0

Ans: D

21) 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 following is the value of x

29,23,38,15

Ans) 38

22) Jar contains 10 green, 9 black, 6 red, a ball is chosen at random replaced then what is the least possible no of draw u make so that u will be confident that u have at least 2 balls of same color

a) 7 b) 6 c) 5 d) 3 e) 1

Ans) C

23) Col A--- ----w (2x +2y + 2z + 1)

Col B ----w (x + y + z)

Ans) D

24) Area is given as 150 square feet. (1 yard = 3 feet)

Col A ------ No. of yards

Col B ------30

Ans) B

25) The price of book x is 5 times the price of book y.

On a particular day, y books were sold as many as 4 times

X books thus making business of $36.

What is the cost of x book?

26) Are of the circle is 36pie then what is the diameter of the circle

Ans) 12

27) If r = (3p + q)/2 and s = p - q, for which of the following values of p would r^2 = s^2?

A. q/5

B. 10 - 3q/2

C. q - 1

D. 3q

E. 9q/2 - 9

Ans) A

28)3^n + 4 is divisible by 5 find the value of n

a) 23

b) 24

c) 25

d) 26

e) 27

Ans) B (24)

29) In triangle x y z are interior angles x=2y z=x/2 one side is given BC = 6 find area of triangle?

Ans) 18

30) Sequence was given to be S=5,-5, 5,-5, 5,-5......k..(K can be 5 or -5) what is the number of terms in the series for which the arithmetic mean is 1/9..

a. 5

b. 15

c. 29

d. 45

e. 38

Ans) D (45)

31) Five years ago, Beth’s age was three times that of Amy. Ten years ago, Beth’s age was one half that of Chelsea. If C represents Chelsea’s current age, which of the Following represents Amy’s current age?

A. c/6 + 5

B. 2c

C. (c-10)/3

D. 3c-5

E. 5c/3 - 10

Ans) A

32)120<150>

Ans) 17

33) There is a 4 by 4 by 4 cubes; it is painted on all its 6 faces. Then it is cut in 1 by 1 by 1 cube. Now u randomly picks a cube and then in that cube u randomly picks a face. Whats the prob that face is colored.

Ans)1/4

34) A portion of $7200 is invested at a 4% annual return, while the remainder is invested at a 5% annual return. If the annual income from both portions is the same, what is the total income from the two investments?

$160

$320

$400

$720

$1,600

35) A motorcycle stunts man belonging to fair rides over the vertical walls of a circular well at an average speed of 54 kph for 5 minutes. If the radius of the well is 5 meters then the distance traveled is:

1. 2.5 kms

2. 3.5 kms

3. 4.5 kms

4. 5.5 kms

5. None of the above

36) A 5-ltrs jug contains 4-ltrs of salt water solution that is 15% salt... if 1.5 ltrs of solution spills out of the jug, n the jug is then filled to capacity with water, approximately what % of resulting solution in the jug is salt?

a)71/2 % b)93/8 % c)101/2 % d) 12% e)15%

37) Mean weight of apples in a basket is 4 ounces, and their standard deviation is 0.8.

Col A: The weight of the apple with 1.5 standard deviation

Col B: 3.2 ounces

38) A man sold product X for 25% profit and Y for 25% loss. If he sold them for 210000 each then the sum of their original products is how much greater than 420000?

1.0

2.14000

3.36000

4.42000

5.28000

Ans 28000

39)-10<20 5<10

Col A--à y

Col B--à-15

2) Col A-- :( 5-1/4) ^2 + (5+1/4) ^2

Col B-- :2

40) Two computer square chips r there x, y.side of y is 0.1more then that of x and the area of y is 0.75 more then that of x.find the side of y.

(1)3.7

(2)3.8

(3)3.9

(4)3.6

41) For road widening the length of a rectangular plot is decreased by 15% and its breadth is increased by 15%.

Col A-->area of the original plot

Col B-->area of the changed plot

42) |3x-2l = 4

Cola--- lxl

ColB---4

43). x=10y+2

Col A--- tens place of 2

Col B--- units place of y

44) UTAH & MAINE. There are these to words. If u choose 1 alphabet from, what is the probability that they are not same..?

ANS: 8/9

45) A right angle triangle lies inside a semi-circle such that, the hypt=diameter of the semi-c..Remaining two sides are x & y..

Col A: x*x+y*y

Col B: 4r*r..<;/span>

ANS: C

46) If x, y, z are divisible by 7 and remainder is 3 then wat is the remainder when x+y+z is divided by 7.

Ans: 2

47) Company r has 60 more people than s and t have 3/4 of the r

Col a people in s

Col b people in t (ANS: D)

48) If x is a positive integer and 2 are a factor of 3 xs+1 then,

Col A--- (-1x)

Col B--- 1

49) Volume of cubes A and B are x and 2x respectively is a positive integer.

Col A ----Ratio of length of cube A to the length of cube B

Col B ---- ½

Ans. Is A

50) S=Set of integers which are multiple of 6

T= Set of integers which are multiple of 8

No. of integers from 1 to 100 which belong to both the sets?

Ans. Its 4. (24, 48, 72 and 96)

51)1<2 style=""> x^3

Col b 7.9
B

52) m n are positive integers.
Col a: 1/ (2m) ^n^m
colb: 1/2^mn
D

53) Diameter of a circular region of area 4pie is used as unit of length how many units of lengths is diameter of a circular region of area 100pie
5
10
12 1/2
20
25

54) ABC is a triangle AC is the base angle B=60, c=45 and a perpendicular is drawn from A to bc and AB=1
col A --- BC

Col B ---sqrt3


55) Which of the following cannot be t factor of 2^n. 3^k n and are pos integers
6
8
27
42
54
ans: 42


56) g(x) =3^x-1 - then find g(x+1)-g(x)/2

57) Word problems-----like there is some company...it produced 30% new products last year. In that 60% were sold. What is the % of new products didn’t sell?
ans-->> suppose total there are 100 products
30 are new and 70 are old
30% of new products are sold means 18 are sold out of 30
hence 12 new product remains which means 12% of original is the remaining new product which is unsold...

58) A triangle was given ABC WITH ANGLES 50 AND 40.A DIAGONAL LINE IS DRAWN AT THE CENTRE
COL A---length of AD {AD IS LOCATED AC} B/N

COL B---LENGHT OF AB

B


61) xy=8 and x+y=12 then

Column A ---x(1+y)+y

Column B --- 20


62) There are 24 oranges in 1 bag. And 8 bags in 1 box then how many dozens in 24 boxes.

Ans) 1 bag contains 2 dozens 1 box contains 2*8=16 dozens 24 boxes contains 24*16=384 dozens


63) a sphere with a radius of r=1 meter....it is revolving around its vertical axis and completes one rotation in 1 second.....find the speed at which it is rotating and it is in the range of
a)0 to pie
b)1 to pie
c)0 to 2pie
d)1 to 2pie

64) there are "r" sections and each section is divide into "t" no. of fields and beth n Jordan water these fields everyday ...if on Monday Beth does his share of watering and also 1/3 of Jordan’s work.......then
column a column b
baths normal share rt/4
of work

65) ann. deposited $10,000 for x yrs at an interest of 6%.... while David deposited $ 12,000 for y yrs at interest of 4.5%......
col A col B
amnt ann. earned amnt David earned
Ans) as column a : 10000(1.06)^x
and column b: 12000(1.045)^y

x and y can take any value greater than 0 D

66) 3}A CIRCLE WAS INSCRIBED IN A SQUARE.AREA OF SQUARE IS 36PIE.WHAT IS THE AREA OF CIRCLE.

67) I DONT REMEMBER NAMES BUT LET THEM BE A, B, C.AGE OF A IS TWICE THAT OF B AND HALF OF C

cola: col b:
average arithmetic mean of their ages 3



68) n>1
cola col
115n 215(n-1)
ans) is D

69) z>y>x>1
cola col
z(x+y+1) y(x+z+1)
A

70) A()B=-A^2B then find 2()-1
problem on symbol
ANS) -1/4

71) 1)5<9><-12 col A /x/ col B /y/ 72) colA col B 2^7 *5^4 10^4*2^3 73)A put his amount on x percentage of interest while B put some amount on x/2 percentage of interest .A getting d dollars as interest and B getting 2d dollars on interest..(This was long narrated Q. I have written in brief) colA ---amount of A colB ---amount of B

74)A put his amount on x percentage of interest while B put some amount on x/2 percentage of interest .A getting d dollars as interest and B getting 2d dollars on interest..(This was long narrated Q. I have written in brief)
colA amount of A
colB amount of B
ans) the prin. of A nd B be A & B
d=AX/100
nd
2d=BX/200
on solving, we get A=100d/x
and B = 400d/x
therefore B is the correct answer

74) 1,1,11 2,2,22
colA s.d of first set
colB s.d. of other set
ans B

75) In a plane, given l and n lines are parallel. Given n equation as 2y+3x=4
then wat is the slope of m?

76) A circle is inscribed in a square.
col A colB
diameter of circle diagonal of square

77) a line and circle lie in a single plane......the line passes through the circle.......
column a-------it meets the circle at no. of points

column b ------2

78) word problems-----like there is some company...it produced 30% new products last year. In that 60% were sold. What is the % of new products didn’t sell?

79)6root pie is the side of square
3root pie is radius of circle
pie*r^2 ll give u circle’s area.........

80)z= [(123)^4]-[(123)^3]+[(123)^2]-(123)
if z is divided by 122 what is the remainder?
0....1....2....3....4
Ans: 0


81)the vertices of square S are (-1,-2), (-1,1), (2,-2) and (2,1)
what is the point where the diagonals of the square S meet?
Ans: (1/2, -1/2)

84) for road widening the length of a rectangular plot is decreased by 15% and its breadth is
increased by 15%.
Col A-->area of the original plot
col B-->area of the changed plot

85) k is a +ve integer. The function f(x) is defined as
f(x) = remainder when x is divided by k
==> f(x) = x%k then what is the value of k, if f (k+25) =3

Ans: 21 (please verify for any other)

86) two cylindrical containers are there. One with internal radius 3 inches other with internal radius 6 inches. The 3 inch cylinder is of 10 inch height of which unto 9 inches was filled with a liquid. what would be the depth of the liquid in the 2nd container if 1st container is emptied into the second container (previously empty)
Ans: 2.25 inches


87) xy>0
col a :--> y
col b :--> 0
Ans: D

88) A ladder of 5 ft length is in a slant position against a wall. The base of the ladder is
pulled y ft away from the wall and so the top of the ladder moved x ft towards the ground.
Col a :---> x
col b :---> y

89) colA ---2^7 *5^4

Col B---- 10^4*2^3

90) In a plane, given l and n lines are parallel. Given n equation as 2y+3x=4
then wat is the slope of m?

91) A circle is inscribed in a square.
col A colB
diameter of circle diagonal of square


92)a@b is defined as -(a to the power -2b) so what is the value of 3@2
a)12 b)-81 c)1/81 d)-1/81 e)-12
ans is -1/81


93)the vertices of square S are (-1,-2), (-1,1), (2,-2) and (2,1)
what is the point where the diagonals of the square S meet?
Finding mp of 1 and 3
-1+2/2 -2-2/2
=1/2 =-2
(1/2,-2)

94) there was a prob on X articles and Y articles posted sum time back...
the prob was something like....the price of X was 5 times the price of Y and sales of Y=4 times sales of X.amt received from sales of Y equal to 36$$...


95) a 5-ltrs jug contains 4-ltrs of salt water solution that is 15% salt. If 1.5 liters of solution spills out of the jug, n the jug is then filled to capacity with water, approximately what % of resulting solution in the jug is salt?
a)71/2 % b)93/8 % c)101/2 % d) 12% e)15%
ans 12% posted by sme1

96)integer (x - 1) is a prime number between 40 and 50.
Column A: The sum of all different prime factors of x
Column B: 14

Answer will be D

97) Parallegram opposite angles is given 7x, 120
another angle 3y
cola---x

Col b---y
answer is x=17.14
y=20

98) the standard form of equation of line is y=m*x+c
so slope =-a/b

99) integer (x - 1) is a prime number between 40 and 50.
Column A: The sum of all different prime factors of x
Column B:14
is the answer B


100) the vertices of square S are (-1,-2), (-1, 1), (2,-2) and (2, 1)
what is the point where the diagonals of the square S meet?
Finding mp of 1 and 3
-1+2/2 -2-2/2
=1/2 =-2
(1/2,-2)

101) Quadrilateral ABCD
angle DAB=60degrees
angle ABC=95 degrees
and AD is extended to E, E joined to C such that B,C , E are in a straight line
similarly AB is extended to F , and F also joined to C such that D,C,F are in a straight line
then angle EDC=alpha degrees
angle BFC = beta degrees
column A
alpha
column B
beta+55 degrees


102) a rectangle was of side 8 & 4 and quadrilateral is given and the side of quad is the side of rectangle i.e. 8 n the angle made by the quad and tri is 45deg
cola col b
area of the quad 15


103) A(B)= -(A-2B),then what is the value of 3(2)?
Ans. 3(2) =-(3-2x2) =-(1/34) =-1/81