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
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
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)
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?
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?
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