JULY THREAD
1) The perimeter of a right isosceles triangle is 1+root2.what is the area of the triangle.
Perimeter of art isosceles triangle=2a+a root2 ===1+root2
=>root2*a (1+root2) = (1+root2)
=>root 2*a=1
=>a=1/root2
area=1/2*a*a=1/4
q^2=7m
Cola m
Colb 5
Ans A
center of the circle is shown C'.
The obvious answer is D.
4) Perimeter of triangle is 32. Two sides are 12 and 13. The angle opp to side 13 is 'X'
col A: X
col B: 90 degrees
Ans) B
5) X invested $40,000. One portion invested at 3.5% and the rest at 6%. For 1 yr. total simple interest was 1620$ ...
cola--part invested at 3.5%
colb--part invested at 6%
Ans) A
6) U is sum of first 100 +ve even numbers**********
V is sum of first 100 +ve odd numbers
cola-> U-V
col b-> 100
Ans) C
7) Side of a square and diameter of a circle are equal then the ratio of their areas
Ans 4/pi
8) If x=10y+5,
col a: tenth digit of x
col b: unit digit of y
the answer is D
9) Consider. Number line on which n points are marked and the
distance between any two of them is x and...n>2; x>1.now find out the
distance between the lowest coordinate from highest coordinate
answer (n-1) x
10).There is three '*', two '?' and one '$'in how many ways we can arrange the
symbols in
6 places (e.g.: *$?**? )
Ans: 60
11) A rectangular box of height g, and base dimensions 8, 10 has equal volume as that of a cylinder of height h and diameter 10
col a: g
col b: h
Ans) B
12) A can do a work in X hr/day and B can do another work in 2X/3 hr/day.
col B - 34
Ans: can't be determined
13) Cola: no of months from 1961 to 1985
Colb: no of min in 5 hr’s
ANS) b
14)... n are a +ve integer then remainder of 3^n when divided by 10...EXCEPT
1)1
2)7
3)5
4)9
Ans; 3(5)
15) L is a set of 2 multiples 1 to 50
M is a set of 3 multiples: 1 to50
N is a set of other than L & M ……… then find the no of elements in N
ANS: 13
16) S>T & R
Ans) s>t>r
17)A half circle(having center at O) draw a triangle(ABC) in that having diameter(AB) as a side and length of the other sides will be 6,8 (here I am explaining the diagram u can do it easily by seeing) find length of CO=?
ANS 5
18) X^2+2x-8<0>
Ans 5
19) A, C, H, F
Here we replacing the elements after each selecting of every element
What is prob that the selected element in this order C F C (here we take only 3 elements?
1) <.01
2) BETWEEN .01 & .02
3) B/w .02&.03
4)>.1
20) N is +ve integer went it is divisible by 11 remainder is 5
Then what is the remainder when (N+1) ^2 divided by 11
Ans) 3
The smallest of three consecutive even integers is 40 less than three times the largest. What is the largest of these integers?
A) 14 B) 17 C) 18 D) 19 E) 20
Given answer is (C)
-10< st="on">Col A
Y -15
ans is D...
2.IN TRIANGLE X Y Z ARE INTERIOR ANGLES
X=2Y Z=X/2 ONE SIDE IS GIVEN BC = 6
FINE AREA OF TRIANGLE ?***********
so, area is (6*6)/2 = 18
1)The cost of a computer with 5 percent tax is given as $ 892.00. then find the cost
of the computer without 5 percent tax.*****
1.05x=892 => x=849.5 the cost with out 5% is 849.5......................... plz
2)
Ans=D
3) area is given as 150 square feet. ( 1 yard = 3 feet )
ANS=B
******11) N is any +ve integer below 100
how many numbers below 100 wen divided by 10 gives an even integer
i.e N/10=even int
Ans)4
4)********col a-- s.d of x,x+2,x+3,x+4,x+5
col b-- s.d of x,x+2,x+3,x+4,x+5,80
Ans) B
3.If r = (3p + q)/2 and s = p - q, for which of the following values of p would r^2 = s^2?
Ans). q/5
4.3^n + 4 is divisible by 5 find the value of n********
Ans) 24
perimeter of art isoscles triangle=2a+a root2 ===1+root2
=>root2*a(1+root2)=(1+root2)
=>root 2*a=1
=>a=1/root2
area=1/2*a*a=1/4
12) if -1 <>
9)3/4 of a company are part-time employees and 3/8 employees are temporary
cola colB
what part of employees are part-time and not temporary ½
Ans) D
4) A circle C is shown which passes through (1,6) with origin O lying inside C. The
center of the circle is shown C'.
The obvious answer is D.
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
answer (D) i.e., 45
1) n is multiple of 7 and n=(s^2)*t whr both s and t are prime no.s . Which of the foll will be a multiple of 49 ?
Ans)s^2 *t^2
3) perimeter of triangle is 32. two sides are 12 and 13. The angle opp to side 13 is 'X'
col A : X
col B : 90 degrees
Ans)B
4) if 5*t <>
Ans)D
5) water flowing into an initially empty right circular cylinder @ 1000 cubic inches per min until the tank becomes full . water level in tank increases @ 0.01 cubic inch per min..wats the radius of the cylinder's base ? (remember the ans to be 180)
6) two cards have a # symbol on them and 3 other cards have a * symbol. Probability that when two out of these 5 are picked, atleast one card with # comes.
Ans)7/10
A set of 15 values has mean 'x' and median 'y' , with x>y
Another set of 25 values has mean 'u' and median 'w' with u>w
If these both are combined to form a set of 40 values wid mean 'c' and median 'd'
col A : c
col B : d
Since we cannot evaluate any relation answer is option D cannot be predicted from given above informaTION
ans is D
2. If a rectangle’s length and width are both doubled, by what percent is the rectangle’s area increased?
Ans)300
1. On the xy-coordinate plane, points A and B both lie on the circumference of a circle whose center is O, and the length of AB equals the circle’s diameter. If the (x,y) coordinates of O are (2,1) and the (x,y) coordinates of B are (4,6), what are the (x,y) coordinates of A?
Ans) (0,-4)
3. A rectangular tank 10? by 8? by 4? is filled with water. If all of the water is to be transferred to cube-shaped tanks, each one 3 inches on a side, how many of these smaller tanks are needed?
Ans) 12
5. x > 1 y > 0
Column A Column B
y^x y^(x+1)
Ans)D
5)the whole price for an article is $ 30. the sale price is 40% more than the whole price and 25% less than the list price. wht is the list price.?
ANS)lp=56.
13. N and D are +ve integers such that N is a multiple of D, how many +ve multiples of D are lessthan or equal to N
ans)N/D
1)No. of prime no's between 2 to 30 ,even integers inclusive
A B
no. of prime no's 1
ans)C
13) there are 5 envelopes for prize distribution of which 2 contain cash n 3 contain certificates. when randomly 2 envelopes r taken without replacing one after other what is the probability of getting atleast one envolope which contain cash.
Ans: 7/10
7) 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 pick a face. Whats the prob that it is colored.
Ans)1/4
Certain no. of people were being checked for a certain disease. It was found that 10% of them were below 20yrs and had that disease. It was also found that all the people who were found to have that disease, 60% of them were 20 or above 20. Find fraction of people who were found to have that disease..
soln:
take certain people x;
10% = 0.1x =>>below 20yrs
60%=0.6x == greater or equal 20
total no. of people who is suffering = 0.6x+0.1x=0.7x
fraction ==> 0.7x/x=7/10
ans is 7/10
P and N are +VE integers P^2 = 5N
N 3
ans)A
which is greater(SD)...this was my question
col A col B
SD of r SD of t
r t
2 32
4 34
6 36
8 37
soln:
diff of r is 2,2,2 ( GREATER SD)
diff of t is 2,2,1
finally abs is A
4) The cost C in dollars for preventing P% pollution is given by
C = 50000 P/(100 - P) how much more cost is required to prevent 99% pollution than 90% pollution
Ans = 4500000 CLUE=90*…….
2. (x-5)(2x/3)=0 and x not equal to 5 than
col a =x
col b =1
Ans: B, if x is nt equal to 5 then x must be zero
4. (x-2)^(x-5)=1
col a=x
col b=0
Ans: A (x can only be 1)
31) |s| / root(r square) = 1 thn
col a col b
s r
Ans)C
18)-1
Y
6.An elected official wants to take five members of his staff to an undisclosed secure location. What is the minimum number of staff members the elected official must have in order to have at least 20 different groups from which to choose?
Ans)7 (JUST REMEMBER)
9.one question on Standard Deviation
K--(p,2p,3p,4p...)
R--(p+5. 2p+5,3p+5, 4p+5..)
cola Standard deviation of K
col b Standard deviation of R
(Ans C)
7.got a ques which a remember:
X invested $40,000 . one portion invested at 3.5% and the rest at 6%. for 1 yr. total simple interest was 1620$ ...
colA--part invested at 3.5%
colb--part invested at 6%
Ans)A
Five years ago, Beth’s age was three times that of Amy. Ten years ago, Beth’s age was one half that of
Ans)c/6 + 5
2. 140
Ans)17
3.two tests were given 1 and 2 in a test of 1000 students and average was 250 and 260 and the percentile of (think )anil got 90th in test 1.so asked to compare the percentile with the second one.
Ans.is option D bcz we cannot compare the percentile of test 1 and with test 2 bcz percentile is the no of people below the required person
7) If a=pi; the sequence a,2a,3a,...is given. let 'x' be any number from the above
sequence and 'x' not equal to 'a'.
ColB The difference of x and it's the sequence. preceding term of the sequence.
( Answer: B)
8)there is a series
a1,a2............................a99
a2 is greater by 1 compare to a1,lly
a3 is greater by 1 compare to a2 and so on till a99
and the sum of all the numbers is 99
what is the the value of a1?
options
a.-52
b.-51
c.-50
d.-49
e.-48
a2=a1+1
a3=a2+1=a1+1+1=a1+2
a4=a3+1=a2+1+1=a1+3
.......
..........
a99=a1+98
a1+a2+a3...............+a99=99
a1+a1+1+a1+2.............+a1+98
99a1+99*98/2=99
by solving this i have got a answer -48
1)if 15 nos have mean m and std dev s m>s,
if 25nos have mean n and std dev l n>l,
then if the two sets combined of 40 elements has std dev c and mean d
cola colb
c d
Ans)D
4)there are 4 faculty and 5 students.in how many ways a group of 1 faculty and 3students be formed.
Ans)40
if x= 0.666666/1.151111 + 1.1555555/0.666666
x || 3 (2.31)
y^-2 +8y^-1+16=0 find y ? y is a +ve int
QCT.. y^2=x/4 ,, x and y are +ve int
x || y
U is sum of first 100 even +VE numbers**********
V is sum of first 100 odd +VE numbers
cola-> U-V
col b-> 100
Ans)C
5) from the incoming freshman class at a certain college a gps of stu n was randomly selected for testing .for this gp of stu,the following is true:
1)group’s mean score is 1223
2)group’s SD is s.
which value of "n" and "s" provide the strongest evidence that mean scores for the entire class exceeds 1200??
A)n=100,s=100
B)n=100,s=400
C)n=400,s=100
D)n=400,s=400
Ans)D
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
A square is inscribed in a circle and again a small circle is inscribed in square (just imagine diagram) and the question is that what is the ratio of the area of the small circle to the area of the large circle?
a)1 to 1 b)1 to 2 c)1 to 4 d)2 to 1 e)4 to 1
Ans B
if y is multile of 6 and it is divisible by 77 then y/21 is divisible by*********
a.11
b.14
c.22
d.33
e.77
Ans:C
col A col B
s.d of 2,4,6,8 s,d of 33,34,36,37
ans:A
***)There are three '*', two '?' and one '$'. In how many ways we can arrange these symbols in six places.
6!/(3!*2!*1!)=60
9) A regular hexagon with side 4 and included angle is 120. A triangle formed by joining the alternate vertices of hexagon is given and it is shaded.What is the area of the unshaded region?
Sol:- 12*(squareroot(3)
10) P=2^(-2002) Q=2^(1000)
Column A Column B
4P Q^(-2)
Sol:- C (Both are same)
5) A set of six squares is given.They are arranged as a cross with four squares vertically and three squares horizontally.From one end of the cross a diagonal is drawn to the other end.The diagonal length is 12.Find the area of the whole set?
Sol:- 86.4
5)A circle is circumscride by square the area of the square is c and the area of the circle is S.it is asked to find the ratio os s/c?
Answer is pi/4
The area of circles=pi*r^2
side of square is 2r
so area of suare is 4r^2
=>s/c=pi/4
6) a right angle triangle abc with base and perpendicular 1,1 and an equilateral triangle pqr with two sides 1,1
col A col b
perimeter of ABC perimeter of PQR
equilateral triangle the sides are 1,1,1
and ABC sides are 1,1,root 2
answert is col A
R, T and S are sets with 15, 22 and 32 elements each. If R and T are subsets of S, another set X were to be then how many elements can X have that do not belong to either R or T. Options were like 0, 5, 3 ,7
Ans) 0
For example.....
S contains numbers from 1 to 32
R contains from 1 to 15
T contains from 1 to 22
Then X can have 10 numbers..i.e.,from 23 to 32...
Another example.....
S contains numbers from 1 to 32
R contains from 23 to 32 and 1 to 5
T contains from 1 to 22
Then X can have 0 numbers....,as every number is a part of R or T...
a jar contains 20 marbles :4 red,6 white & 10 blue.if u remove one marble at a time,randomly,wat is d minimum no tat must me removed to be certain tat u have atleast 2 marbles of each color?
a)6
b)10
c)12
d)16
e)18
ans is E
A ranch has horses and ponies. Five-sixths of the ponies have horseshoes. Half of the ponies with horseshoes are Icelandic. If there are three more horses than ponies, what is the minimum number of horses and ponies on the ranch?
12/15/27/48/54
Ans is 27..
if x=10y+5,
col a:tenth digit of x
col b:unit digit of
the answer is D
given x,y,z,w are positive integers...........
w(2x+2y+2z+1) 2w(x+y+z)
Ans is col A
in recangle coordinate system a line X+2 is given and pts p(k,0) and k(0,2) are equidistant from line x=2 then length of pq in terms of k
a)k
b)k+root2
c)kroot2
d)k(root2+1)
e)k(root2-1)
ans)E
4 boys and 4 girls sit in a row at random. The probability that 4 girls sit together is
A) 1/14
B) 1/12
C) 3/7
D) 9/13
E) 10/13
Ans)1/14
A can complete a work in 10 days, B & C take 15 & 20 days resp. to complete same work
if A starts the work and works at it for 1 day than B & C joins and A leaves & both work 2gether for 1 day & than B leaves. How long will C take to complete the work??
this was asked on 4th july in Ahm.
soln: 15.66 days
If A completes a work in 10 days.. he completes 1/10 of the work in a day.. similarly 1/15 for B and 1/20 for C
so now.. A works for a day --> 1/10 of the work is done
B & C work 2gether for 1 day --> 1/15+1/20 =7/60 of the work is done
work completed = 1/10+7/60 = 13/60 of the total work
work remaning = 47/60
Since C completes 1/20 of the work in 1 day, C will take (47/60)/(1/20)=47/3=15.66 days to complete the work
Column A: Area of the equilateral triangle in sq. units
Column B: 24.5
Ans)col A
given the vertex (3,9) and one side so now the perpendicular distance bet 3x + 4y - 10 and the vertex is 7..............
Now let the sides of equil be x,x,x now per divides the side into two equal parts x/2,x/2 so frm one right angled triangle we get
7^2+(x/2)^2=x^2 so x=14/sq(3) now we have sides of equil triangle as 14/sq(3),14/sq(3),14/(sq(3)....
so are is sq(3)/4 * 14*14/3= 49/sq(3) > 24.5ie 49/2 so colm A greate
1) which of the following is not the sum of three consecutive odd integers ?
A - 9
B - 33
C- 255
D- 313
Ans D-313.
2) n is a positive integer
column a : sum of odd integers betn 100n and 200n both excluding
column b : sum of even integers betn 100n and 200n both excluding
Ans : A.> B
3) n is greater than 2 and it is an integer
5 [ 2^ n+1 - 2^n ] > 20
column a : n
column b : 4
Ans : D cant determined.
4) A circle was drawn with center at 'O' with diameter AC. make the point B on the circle which make the tringle ABC in semicircle with angle B 90. AB = 6 and BC = 8.
now point B was connected with center O which make the line BO and asked to find the length BO in column A and 5 was in column B.
just make the diagram ...u will find r=5 which is actuly the length of BO being radius.
so, both the columns are equal. ans = C
5) perimeter was given of right angle isocles tringle 1+root 2 . find area.
Ans = 1/ 4
14.a rectangular playground is divided 300x150sqft! and at the top 150ft
and bottom 175 ft a line is cut..... and a concrete slab of 3inches thick is pored!! what is amount of concrete must be added to fill the trapezoid??
in cubic ft!!
answer.61800 cu.ft!!
15.Certain no. of people were being checked for a certain disease.
It was found that 10% of them were below 20yrs and had that
disease. It was also found that all the people who were found
to have that disease, 60% of them were 20 or above 20.
answer 1/6
16.consider . number line on which n points are marked and d
distance between any two of dem is x…..n>2;x>1.now find out da
distance between the lowest coordinate from highest coordinate
answer (n-1)x
17.there are y toys if you can fill them in x boxes equally. 3 more boxes
are added to x boxes and filled these boxes with 12 toys each and 5 toys
left. Then calculate the value of x?
a) 11 b)14 c) 17 d) 27 e) 31 answer :31
18.x+y+z=1
x
19.the whole price for an article is $ 30. the sale price is 40% more
than the whole price and 25% less than the list price. wht is the list price.?
answer is 56 $
5.on a day the pens sold in the afternnion were 4 times more than the pens
sold in the morning . if the pens sold in the afternoon costs 90 $ more thenm
column a number of pens sold column b 90
answer is C both are equal
9.hexagon inside a triangle was given other than triangle all the parts were s
shaded area of shaded part answer is 12 root 3
13.if m^4+n^4=0,what is the value of 9m-5n?
a.9
b.5
c.4
d.0
e.-1
answer d.0
20.IF P,Q,R are the integral multiples of 3,5,7 and if P=R and PR<2q q="P+49" q="p-49" q="p-3/7" p="q-204" p="q-63">
2.A circle is inscribed in a square. (QC)
col A: 3 times area of the region bet. square & circle.
col B: Area of circle Ans:B
3.G gallons of water in a tank, if X gallons/hr--water flowing inward,Y gallons/hr water flowing outward, condition Y>X..then how much time it takes to so that the tank capacity becomes G/2 gallons of water.
A) g/(2x-2y) (B) g/(2y-2x) (C) (2x+2y)/g (D) (2x-2y)/g (E) x+y/g
Ans:B
4.A line passes through (3,1) and (5,-1). Another line k is
perpendicular to this line. (QC)
col A: slope of line k
col B: 1
Ans:C
3) one year ago in a company 1/4th
2.sum of 1 to 40..inclusive..820..
cola colb
then sum of 41 to 80? 2460
ans:B
4.a isosceles triangle was given with 2 sides as x nd asked to find the range of y
Ans:0 to 60
2. -1
b>x^3
c>x-1
D x^3-1
ans. B
6.) From 1 to 2000 how many of the cubes are eqqual to the no of squares!!(
30)col a: 1/27 + 1/28 + 1/29 + ...... + 1/30 and
col b: 0.2;
Ans: col B is greater as cola is 0.14857
**** 5/7 is he answer for the fraction problem
12.if x=10y+5,
col a:tenth digit of x
col b:unit digit of y
ans:d
(30*3+40*5)/8 ....gives the final percent=36.25
Given x-5=2(15-x)......so x=35/3
3
X is a negative number and
|x^2-25|<9><16
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