AUGUST THREAD
1)what is the units digit of (13^4)(17^2)(29^3)?????
13^4 will result 1 in unit place
17^2 will result 9 in unit place
29^3 will result 9 in unit place
the multiply 1,9,9 we get 81
so unit place is 1
2)nm = p .....where n & m are prime factors of p.
n+m = ?
1) p 2) p+1 3) p-1 4) 2p+1
let p = 34
17+2 = 19
if P=51
n = 3 and m =17
17+3
3).one diagram was given in which side opp to 90 is 5 side n other two sides are given as x and 2x
cola:5x^2
colb:25
Ans : c
4). 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
a.N/D
b.DN
c.D/n
d.(D/N)+1
5).which of the following is both the mean and median of 7 consecutive integers the least of which is x
a.x+4
b.x+3
c.x+2
d.(x+3)/2
e.(x+28)/2
Ans : b
6). 1
colb:7.9
Ans : b
7. if N is integer then the units digit of N^2 cannot be
a.0
b.2
c.4
d.6
e.5
Ans : b
8)-1
** Ans : y^2 > y^4 > y^3 > y
9)if m^4+n^4=0,what is the value of 9m-5n?
a.....................9
b....................5
c..................4
d......................0
e...............-1
the ans is 0,coz only 0 will satisfy the eq
10)of the total no. of days in week,what fraction of them occurs only 52 times in a leap year?
a...........1/7
b...........2/7
c.............3/7
d..........4/7
e............5/7
**** 5/7 is he answer for the fraction problem
11)which of the following is 850% of 8*10^3?
a.............8.5*10^3
b.............6.4*10^4
c..............6.8*10^4
d...........7.6*10^4
e............1.6*10^5
the answer is 6.8*10^4
12)How many 4 digit numbers begin with an odd integer and end with even digit???
a)250
b)500
c)2000
d)2500
e)5000
Ans : D that is 2500
1st blank can be filled with 1 3 5 7 9
last blank can be filled with 0 2 4 6 8
2nd and 3rd can be filled with 0-9 any one
so answer is 5*10*10*5= 2500
13)a line was drawn frm verrtex to cut the triangle s base into 2 parts.. not equal.. was asked to find the ratio of the 2 parts.. given the perimenter of the 2 parts wer equal..
ans:1/3
14)a person makes no profit fr the first 1000$ n then makes .5$ profit fr every p dollars.. then express the total money he had sold in terms of p
(exactly don remember the question.. sorry)
ans:2p+1000
15)the perimeter of the rect is 20 l n b must b integers.. find its area.. 5 choices wer given.
ans:25 (its a square)
16.) an=n!/(2n)! now find a11/a10
ans is 1/42
17) an isoceles triangle equal sides =x=30, other side is y, what is the value of y(the range)
Ans)that lies bet ween 0
19.)3digit no. t is the tenth's place digit, u is units, and the no is a multiple of 3, find t+u=??
20.) x>100y>100.. what could be the nearest value for (3x+(1/y))/x
Ans:= 3
21.)a quadrilateral bas angles are 45 and 70 other angles is x (left cornet)and y(right cornet)! the top of the quad is extended to form an angle with the base at an angle of 30.
cola ColB
x y
ans: col A
the extended line forms a triangle so y=180-(30+70)=80 degrees
now finding x sum of all angles in a quad is 360 right.. then x=360-(70+45+80)=165degrees!!
hence col A is greater
22.) from 1 to 2000 how many of the cubes are eqqual to the no of squares!!(this ones freaking me out) eg: 4^3=8^2 (the question is defined like this!!)
(x^2)^3=(x^3)^2
now keep substituting for x until x^3 of RHS > 2000
(1^2)^3=(1^3)^2
(2^2)^3=(2^3)^2
.
.
(13^2)^3=(13^3)^2
13^3>2000
so in total 12 cubes r equal to their squares....
23)Mr.Smitherly leaves
a. overtake Mr.Smitherly at 09:30am
b. overtake Mr.Smitherly at 10:30am
C. overtake Mr.Smitherly at 11:00am
d. be 30miles behind at 8:35am
e.never overtake Mr.Smitherly
at 9.30AM Mr.Smitherly would've traveled 75 miles...and Mr.Dindle would've traveled only 60 miles..at 10.30AM mr.S would've traveled 125 miles but mr.D would've traveled 120 miles..only by 11AM mr.S and mr.D would traveled the same distance..that is 150 miles...so at 11AM mr.d overtakes mr.S...ans. is c....
24)col a 783*24
col b 784*23
ans is col a...
25)" If there is cube with side length 4 is painted purple on all six sides and is cut into 64 smaller cubes with side 1 . Now i select a cube randomly and then select a side randomly on the cube, what is the probability that it is pruple"
Ans ¼
26)** If 0
root(x) x^(-2)
Ans :b
27)today jack's 12th bday &his fathers 40th bday.how many yearsfrom topday will jack's father be twice as old as jack at that time?
a)12
b)14
c)16
d)18
e)20
28)on a turntable,a record of radius 6inches is rotating at the rate of 45 rev/min.
column a-----the no of inches travelled /min by a point on the circumference of the record
column b------the no of inches travelled /min by a point on the record 5 inches frm the record
ans) "column a"
29)252^5 is divisible by 6^n whats n maximum value
col A col B
N 10
Ans :c
n=10:
30)A set contains 5 blocks of wood.if the average length of set of wood is 124 and if the medium length of the set of wood is 140 what is the greatest posible length of smalest block of wood in the set??
avg is 124..sooo total wud be 124*5=620
the possible values for da remainin 4 wud be...139,140,141,142.....and hence the smallest wud be 58
31).in a circle a right triangle is drawn in which one of the sides is the radius. a tangent at the point where the radius meets tyhe circle. join the center to the other end of tangent. the angle between the radius and the hypotenuse was given and the the length of hypotenuse was asked.
32). quadrilatera is inscribed in a triangle and one of its diagonal is diameter.(i trie to explain the figure). diameter is 30 and wats the max area of quadrilateral??
33) if p n q r 2 points on a number line, if p=6 n d distance between p n q is 4
wats d mid point of pq
34)The jewels in a crown consist of diamonds, rubies and emeralds. if d ratioo of diamonds to rubies is 5/6..and ratio of rubies to emerald is 8/3,what is the least numbr of jewels that could be in the crown.......
d:r :: 5:6 ; r:e :: 8:3...... therefore there is a common factor in both the ratios. that is the no. of emeralds. but the problem is that in the first ratio the proportion of emeralds is 6 and in second it is 8. so what we have to do is to make them equal. so here is what is to be done : r*6/8:e*6/8 :: 8*6/8:3*6/8 => r:e :: 6:9/4..... therefore we can write d:r:e :: 5:6:9/4..... for the crown to be possible, the number of emeralds should be an interger, so multiply with 4. ull get the ratio as d:r:e :: 20:24:9.... therefore the total no. of jewels are 20+24+9 = 53.... and thats the solution
35)**** A merchant paid $300 for a shipment of x identical calculators. The merchant used 2 of the calculators as demonstrators and sold each of the others for $5 more than the average(arithmetic mean) cost of the x calculators. If the total revenue from the sale of the calculators was $120 more than the cost of the shipment, how many calculators were in the shipment?
(A) 24
(B) 25
(C) 26
(D) 28
(E) 30
Ans)30
40) The perimeter of the rectangle is 20 , a triangle was inscribed in the rect with its base equal to its length and height equal to its width . need to find out area of the rect ?
a) 10
b) 12
c) 20
d) 24
e) …..dont rem ANS : B
41) 3^n + 4 is divisible by 5 find the value of n
a) 23
b) 24
c) 25
d) 26
e) 27 ANS : B
42)3) P and N are integers P^2 = 5N
N 3
ANS : D
43)4) -10< x + y <20 and 5< x <10 then
Col A Col B
Y -15
This was my last ques i dint have time so I kept it as A
44) k = y / x and k = 1/x + 1/y ; express k in terms of y
a) 1/ y-1
b) 1/y+1
c) y/y+2
d) other options I don't rem
45)) The equation was like this (5,00,000 * P / 100-P)and if P is 99 and 90
Then what is the diff when P=99 and P= 90
ANS = 450,00,000
46)) A square was inscribed in a circle and asked to find out area between the
the arcOf the circle and the side of the square ?
Ans i got was pi/4 – ½
49) x < x^3 < x^2 which of the following satisfies the above condition.
a) -3/2
b) -1/2 =
c) 0
d) 1/2
e) 3/2
Ans = B
50) p = 2^-2002, q = 2^1000
A B
4p q^-2
Ans = c
51) 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 = 450000
2.A taxi driver charges $2.50 for first 1/4 of a journey... and $2.00 for every 1/8th mile... then find the total cost of the m miles...(i do not remember the numbers correctly.. but the question was of this sort)
3.a mixture consists of 30% of certain solvent and in the other solution it's % was 40% and 3 litres of the first and 5 litres of the second was mixed.. and the % in the final 8litres mixture was asked...
4.A basket contains 9Red balls, 8Green 12 blue balls...find the no. of chances of getting at least 2 like coloured balls...
the options were a.7 b.6 c.9 (like this )
1.consider . number line on which n points are marked and da distance between any two of dem is x.now find out da distance between the lowest coordinate from highest coordinate
2.y=(3)(5)*some two numbers/x
it was said dat y is an integer and wat is da value dat x cannot have
ans is 231
actually wen u solve u get y=198/x .all da other options divide 198 exactly
hence 231
3.(5,5) (x,0) (0,y)were given and said dat they are equidistant from each other.
col a:x; colb:y
4.many of da questions are from algebra.di was score and number of examinees are given we have to find out da mean
one question from probability.sry i couldn't remember bcoz there was no time
geometry question
one square was inscribed inside da circle.area is given.wats da area of square
wen we calculate we gaet delete
we get side as 10 so area 100
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)
5. -1
b>x^3
c>x-1
D x^3-1
Ans: X^3
Q) Col A; [1+(1/2)-(1/4)+(1/8)-(1/16)] ; Col B:[1-(1/2)+(1/4)-(1/8)+(1/16)-(1/32)]
Ans shud be col A
66) if x , y , z , w are poitive integers
col A; w(2x+2y+2z+1) ; col B: 2w(x+y+z)
71)There is one circle ,square is inscribed in that circle,there is one more circle inscribed in that square...find the ratio of area of outer circle to inner circle...
1 1 to 8
2 1 to 16
3 1 to 32
49)A circle with Centre C was given, and there were two points A and B on the circumference of the circle. ABC form a triangle such that angle C is 90 degrees.
44)a merchant sold 1000 widgets with no profil or loss... for the next widgets he sold ffor a profit of 0.50$ each...and now his total porfit is p. now calculate the whole profit he made including the 100 widgets!
column a : area of the shaded portion
column b: 6
42)a set of six squares is given, they are arranges as a cross four vertical and 3 horizantal... from one end of the cross a diagonal is drawn to the other end!!
now the diagonal length is 12, find the area of the whole set!!
31) |s| / root(r square) = 1
thn col a: s; col b: r
24. f(x)=x+(x^(-1))*** repeated
which of the following s true?
1.f (x)=f(x^(-1))
2.f(-x)=-f(x)
3.f(2x)=2f(x)
18)-1
Y, Y^2, Y^3, Y^4
35)colA: Angle formed by hour hand and min hand of clock at quarter past any hour
colB:90 Degrees
18) ans : y^2 , y^4, y^3 , Y
24)ans 1st option
31) i reckon its D
35) ans B
42) i think its 50.8
66) ans is A
71) ans 2:1
imp models..
1) There are tickets numbered from 1 through 100. Three tickets are drawn one after the other, tickets being replaced after each draw. What is the probability that the product of these three numbers is even?
2) A solution has soap, alcohol, water in the ratio 1 : 50 : 100. If the ratio of soap to alcohol is halved and that of soap to water is doubled and the altered solution contains 80 cc of soap, what is the volume of water in the altered solution?
3) S is a set containing a different numbers. T is a set containing 8 different numbers, all of which are in S. Which of the following CANNOT be true?
A)Mean of S = Mean of T
B)Median of S = Median of T
C)Range of S < Range of T
D) Range of S = Range of T
E) Mean of S > Mean of T
4)What is the sum of all 3-digit numbers that can be formed with 2, 4, 7 given that repetition of digits is allowed?
5) It takes 30 days to fill a labaratory dish with bacteria. If the size of bacteria doubles every day, how long did it take to fill one half of the dish?
6) In an office, 10% of the employees come late and also receive punishment. If this represents only 80% of all those who come late, what % of all employees come late?
7) Solid green color contains blue yellow colors in the ratio 5 : 3; Bright green color contains blue and yellow colors in the ratio 2 : 3. There is a 16-litre solution of Solid green .To make it Bright green, x litres of yellow color must be added;
8) Greatest possible H.C.F of two different positive integers both less than 98.
9) Seven similar 1$ bills are to be distributed between three friends A, B, C such that each of them gets atleast 1$.
Column A : Number of ways of distributing the bills such that atleast one of
them gets atleast 3$; Column B : Total number of ways distributing these bills.
10) (1), (3, 5), (7, 9, 11), (13, 15, 17, 19) -------
Column-A : 5th term in the 10th such bracket; Column-B : 100
11) (3,9) is one vertex of an Equilateral triangle and the equation of its opposite side is 3x + 4y - 10 = 0. ( root3=1.732)
Column A: Area of the equilateral triangle in sq. units; Column B: 24.5
12)On reducing the price of bananas by 40%, Roger can buy 64 more bananas for a budget of $40 Column A: Reduced price of bananas per dozen; Column B: 2.75
13)There is a 4 by 4 by 4 cube,it is painted on all its 6 faces. Then it is cut in 1 by 1 by 1 cubes. Now u randomly pick a cube and then in that cube u randomly pick a face. Whats the prob that it is coloured.
options for 4th qs
a.2886
b.5772
c.6666
d.12987
e.13387
options for 5th qs
10 days
15 days
24 days
29 days
29.5days
the options for 6th que are
6.66%
10%
12.5%
20%
22.5%
1)they given a circle with radius r which is inscribed in a square and one portion of the square edge and the circle arc is shaded and asked to find the area of the shaded region
ans: therefore the side of a square is 2r (which means the diameter of the circle)
area of the square is (2r)^2=4*r^2
area of the circle=pie*r^2
there fore one part of the area of the shaded region =(area of square-areaof circle)/4
ans=r^2(1- (pie/4))
2) In set of 7 integers where no two integers are equal then
col a: avg mean of 7 integers; col b: median of 3 greatest integers; ANS b
3) 3^n + 4 is divisible by 5 find the value of n
a) 23
b) 24
c) 25
d) 26
e) 27
5) The equation was like this (5,00,000 * P / 100-P)and if P is 99 and 90
Then what is the diff when P=99 and P= 90; ANS = 450,00,000
6)there are three '*', two '?' and one '$'in how many ways we can arrange the
symbols in 6 places(eg: *$?**? ); answer is 60
7)a circle is given and a chord is in the circle from the center a rt angled
triangle is formed. find the area of the shaded region (sector - triangle)
colA colb
area of triangle 2*area of shaded region
ans: b
8)A right angled triangle ABC was given in which angle C is 90 degrees. BC=4,
AC=3. D is a point on BC. Given that the perimeter of triangle ABD is equal to
the perimeter of triangle ADC. Then find the ratio BD/DC. 1:3
9)A circle with Centre C was given, and there were two points A and B on
the circumference of the circle. ABC form a triangle such that angle C is 90
degrees.
This was a comparison question,
column a : area of the shaded portion column b: 6
10) k , m , n ar positive intergers, lcm of k , m is k*m , lcm of m , n is m*n
col A : lcm of k , n ; col B: k*n ------- ans is D cannot b determined
11) If there is cube with side length 4 is painted purple on all six sides and is cut into 64 smaller cubes with side 1 . Now i select a cube randomly and then select a side randomly on the cube, what is the probability that it is pruple"
Ans 1/4
since there are 64 cubes=>64*6sides
the total no.of sides with purple color = 16*6
=>probability=(16*6)/(64*6) =1/4
12)Cube has 8 vertices, so 8 small cubes with 3 sides purple
12 edges, so 12 * 2 = 24 small cubes with 2 side purple
12 cubes with 1 side purple, 8 cubes inner ones with no purple
So probability = (8/64) * ( 3/ 6) + ( 24 /64 ) * ( 2/6 ) + (24 / 64 ) * (1 / 6)
= 1/416.
if N is integer then the units digit of N^2 cannot be
a.0
b.2
c.4
d.6
e.5; Ans:b
13) sum of 1 to 40..inclusive..820..then sum of 41 to 80?
cola colb
2420 (820 + 40*40) 2460
its given that 1+2+3+4...+40=820
now we have to add 41+42+43+.....+80 = (1+40)+(2+40)+(3+40)+.....+(40+40) = 820 +(40*40)=2420
sum=n/2[first term +last term]
sum=40/2[41+80]
sum=121*20=2420
If x increased by 50 percent is equal to 20, then x =
(A)40/3
(B)10
(C)20/3
(D)5
(E)3/4
3/4 k=1/8
col A : 1/6; COLB: k
4) k = y / x and k = 1/x + 1/y ;
express k in terms of y
ans = A; K=1/(y-1)
1) if m^4+n^4=0,what is the value of 9m-5n?
a.....................9
b....................5
c..................4
d......................0
e...............-1
2) of the total no. of days in week,what fraction of them occurs only 52 times in a leap year?
a...........1/7
b...........2/7
c.............3/7
d..........4/7
e............5/7
3) A triangle was given in which both the interior angles was on the bottom is x,x and the top interior angle is y.Arithmetic mean of the any two angles in the triangle is 56 degrees.find angle y.(REPEATED)****
4) in a triangle ABC , BD is passing through AC in middle then no of angles more than 90
1) 1 2) 2 3) 3 4) none of angles 5)any of above
5) one diagram was given in which side opp to 90 is 5 side n other two sides are given as x and 2x
cola:5x^2; colb:25
6) There r three containers 1st=r.2nd=s.3rd=t
container 1 contains=1/4 content
" " " " 2 " " " =3/4 content, 3 = full
1 and 2 containers r put in in 3 rd container than it was asked to find the volume of 3rd container?
cola: r+s/4; colb: 16r+5s
7) A right angled triangle ABC was given in which angle C is 90 degrees. BC=4, AD=3. D is a point on BC. Given that the perimeter of triangle ABD is equal to the perimeter of triangle ADC. Then find the ratio BD/DC.
the answer for the 1st question is 0.. because m^4+n^4 will be equal to 0
only if both m and n are 0 as they got even power. therefore the ans will
be equal to 0
the answer for the second question is 5/7. because 2 days of
these 7 days occur 53 times in a year.
for question 3 either the answer is undetermined or its a wrong question
because it is given both the bottom interior angles are equal i.e.,
x and the arithmetic mean is 56. this gives the bottom angles 56 each and y
will become 68. but this doesnt satisfy the condition i.e., to get
the arithmetic mean of 56 with other two angles. therfore it is undetermined
wht say????
for question 4 the answer is any of the above. because if it is an equilateral
triangle, the no of angles more than 90 degrees is 0. if its an isosceles the
possibility is 1. and for scalene also the possibility is either one or two.
one for acute angle and two for obtuse angle triangles. i have no reasons for
having 3 angles but according to the options any of the above is the
appropriate ans. if anyone has a different answer jz lemme know
the answer for question 5 is cola=colb
using pythogoras theorem
5^2=x^2+(2x)^2
25=5x^2
therefore satisfied
A triangle was given in which both the interior angles was on the bottom
is x,x and the top interior angle is y.Arithmetic mean of the any two angles
in the triangle is 56 degrees.find angle y.(REPEATED)****
here r three containers 1st=r.2nd=s.3rd=t
container 1 contains=1/4 content
" " " " 2 " " " =3/4 content
3 = full
1 and 2 containers r put in in 3 rd container than it was asked to find the volume of 3rd container?
cola: r+s/4; colb: 16r+5s
a merchant sold 1000 widgets with no profil or loss...
for the next widgets he sold ffor a profit of 0.50$ each...
and now his total porfit is p. now calculate the whole profit he made
including the 100 widgets!; ans:2p+1000
1) N is 3digit no. u is d units place, T is in tenth place.
621
2) std.deviation of 6set of no. each no in the set is divisble by 7& then 10 is added to each no. then std. deviation of new set is
0 , 7/10 ,10/7 , 10root7, 7root 10
3) -1
4)a jar contains 10 green, 9black,6red. a ball is chosen at ramdom ¬ replaced,then least possible no of to draw so that u will be confident dat u have atleast 2 are of same colour
7, 6, 5, 3, 1
6) cola the returns on a money of 2p$ at rate of x/4 for 1year
colb the returns on amoney of P$ at rate x/2 for 1 year
7) in rect co-ordinate sys a line X=2 is given and pts p(k,0)&K(0,2) are equidistant from the line X=2. then lenth of PQ in terms of K
K, K+root2, kroot2, K(root2+1), K(root2-1)
solve this..
1) The perimeter of the rectangle is 20 , a triangle was inscribed in the rect with its base equal to its length and height equal to its width . need to find out area of the rect ?
a) 10
b) 12
c) 20
d) 24
e) …..dont rem ANS : B
how come its B ...length + breadth = 10
so lenth *breadth = 24
i guess
4. adding a no x to the list of x1,x2,x3,....xn
col a col b
sd of x1,x2,x3...xn x1,cx2,cx3.....,cxn,c
Ans: c
5.Perimeter of a rectangle is 38.Length of the sides of rectangle s interger
col A colB
Greatest area of rectangle 90
Ans:c
7. s=2^2002
r=2^2000
col:1/t^-1
colb:s^2 (something like this i am not sure abt this q ........but ans is c )....this is my second q
8.a total of 86,x is arranged in 5 rows of x each and y is aarnged in 6 rows of 4 each ,2 rows of y-2
cola:x; colb:y;
ans:b
9.x is 15 whose mean is a and median is b ,a>b and y is 25 whose mean is c and median is d ,c>d and z is 40 whose mean is s and median is t then
cola:s; colb:t; ans:d
10.n is a two digit no how many 2 digit nos will give a even number when n/10
a.4 b.8 c.25 d.20; ans:a
11. If there is cube with side length 4 is painted purple on all six sides and is cut into 64 smaller cubes with side 1 . Now i select a cube randomly and then select a side randomly on the cube, what is the probability that it is pruple" ; Ans 1/4
since there are 64 cubes=>64*6sides
the total no.of sides with purple color = 16*6
=>probability=(16*6)/(64*6)
=1/4
(or) Cube has 8 vertices, so 8 small cubes with 3 sides purple
12 edges, so 12 * 2 = 24 small cubes with 2 side purple
12 cubes with 1 side purple
8 cubes inner ones with no purple
So probability = (8/64) * ( 3/ 6) + ( 24 /64 ) * ( 2/6 ) + (24 / 64 ) * (1 / 6)
= 1/4
12.2/7 is the number what is its 57th digit
a.6 b.5 c.7 d.8; ans:b
1.) an=n!/(2n)! **** rpeated
find a11/a10 ;ans is 1/42
2)an isoceles triangle equal sides =x=30, other side is y, what is the value of y(think they asked the range)********** repeated
yeh that lies bet ween 0
if two sides of a triangle are given ,remaining side would b in the range x2-x1
an isoceles triangle equal sides =x=30, other side is y, what is the value of y(ans is is mentioned in range)
3.)3digit no. t is the tenth's place digit, u is units, and the no is a multiple of 3, find t+u=??
4.) x>100y>100.. what could be the nearest value for (3x+(1/y))/x
Ans:= 3
5.)a quadrilateral bas angles are 45 and 70 other angles is x (left cornet)and y(right cornet)! the top of the quad is extended to form an angle with the base at an angle of 30.
colA :X; ColB: y ANS:
Ans: the extended line forms a triangle so y=180-(30+70)=80 degrees
now finding x sum of all angles in a quad is 360 right.. then x=360-(70+45+80)=165degrees!! hence col A is greater
6.) from 1 to 2000 how many of the cubes are eqqual to the no of squares!!(this ones freaking me out) eg: 4^3=8^2 (the question is defined like this!!)
dis leavs us wid 2^6=2^6,so for all da no.s,cubes r equal 2 no.of squares.da ans shud b 2000
1^3=1^2
4^3=8^2
9^3=27^2
so ans is 3
for the squares and cubes problem ,the answer is 3.
1^3=1^2
4^3=8^2
9^3=27^2.
7)a line was drawn frm verrtex to cut the triangle s base into 2 parts.. not equal.. was asked to find the ratio of the 2 parts.. given the perimenter of the 2 parts wer equal..
ans:1/3
8)a person makes no profit fr the first 1000$ n then makes .5$ profit fr every p dollars.. then express the total money he had sold in terms of p(exactly don remember the question.. sorry)
ans:2p+1000
9)the perimeter of the rect is 20. l and b must be integers.. find its area.. 5 choices wer given.. the question was abt a rectangle whose peri was 20.. but finally wen i found the answers i found them to b a square.. l=5,b=5... this will make a square of peri 20.. others choices wont satisfy the condition of peri..
the rite answer s 25.. 5*5
10)col A median of the year in which feb has 28 days
col B median of the year in which feb has 29 days.
B
11) If there is cube with side length 4 is painted purple on all six sides and is cut into 64 smaller cubes with side 1 . Now i select a cube randomly and then select a side randomly on the cube, what is the probability that it is pruple" Ans 1/4
since there are 64 cubes=>64*6sides the total no.of sides with purple color = 16*6
=>probability=(16*6)/(64*6)
=1/4
Cube has 8 vertices, so 8 small cubes with 3 sides purple
12 edges, so 12 * 2 = 24 small cubes with 2 side purple
12 cubes with 1 side purple
8 cubes inner ones with no purple
So probability = (8/64) * ( 3/ 6) + ( 24 /64 ) * ( 2/6 ) + (24 / 64 ) * (1 / 6)
= 1/4
12)If 0
root(x) x^(-2)
the answer is b
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
a.N/D
b.DN
c.D/n
d.(D/N)+1; Ans:A
Ex: 6(N) and 3(D) are +ve integers and 6(N) is a multiple of 3(D)
Hence 6(N)/3(D)=2, Which is true...
Hence d ans is A
14.which of the following is both the mean and median of 7 consecutive integers the least of which is x
a.x+4
b.x+3
c.x+2
d.(x+3)/2
e.(x+28)/2 ; Ans:b or d
15. 1
(1.1) ^3 < 7.9
(1.999999) ^ 3 > 7.90000 ( As x nears 2, it shall be nearing 8 ).
16. if N is integer then the units digit of N^2 cannot be
a.0
b.2
c.4
d.6
e.5; Ans:b
17.one diagram was given in which side opp to 90 is 5 side n other two sides are given as x and 2x
cola:5x^2; colb:25 ANS : C
18)-1
Y, Y^2, Y^3, Y^4
Ans:the order is y^3 ,y,y^4,y^2 or
ascending order : y^1 < y^3 < y^4 < y^2
19) today jack's 12th bday &his fathers 40th bday.how many yearsfrom topday will jack's father be twice as old as jack at that time?
a)12
b)14
c)16
d)18
e)20; Ans:16
20. on a turntable,a record of radius 6inches is rotating at the rate of 45 rev/min.
column a: the no of inches travelled /min by apoint on the circumference of the record
column b: the no of inches travelled /min by apoint on the record 5 inches frm the record
answer is A
(coz at circumfernce it will have max radius where as in seconf case it is 5 inches from record therefore rad = 1 inch so less distance)
21)a1,a2,.. a99 whose sum was=99**** repeated
every term was one more than the other term(a2=a1+1, a3=a2+1)
whats a1
a1=-48
22)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..****** repeated
Ans:
G/(2*(Y-x))
(y-x) gallons of water flows out every hour........currently the tank if filled with G gallons of water ..........to reduce it to G/2 ..the time will be
g/2 divide by (y-x).........ans= g/(2(y-x))
Supposition G=20 gallons
X=5 Gallons/Min Thats In
Y=10 Gallons/Min Thats out
so 10 out 5 in means 5 out
so 20-5-5=10 Gallons in 2 minutes
So 10
23)252^5 is divisible by 6^n whats n maximum value*** repeated
col A col B
N 10
n=10
so ans s 'c'
24. f(x)=x+(x^(-1))*** repeated
which of the following s true?
1.f(x)=f(x^(-1))
2.f(-x)=-f(x)
3.f(2x)=2f(x)
Ans: - 1 & 2 ;
1. f(x^(-1))=(x^(-1))+x
2. f(-x)=-x-1/x=-(x+1/x)
28.x,y,z are consecutive integers..then which of the following s even
1.none
2.x-(y^(2z))
other options i cant remember
29)how many numbers between 10 and 43 give a remainder of 5 when divided by 7
5 numbers 12,19,26,33,40
30)col A: 1/27 + 1/28 + 1/29 + ...... + 1/30 and
col B: 0.2; Ans:colb is greater as cola is 0.14857
1) Between 20 and 40 how many numbers are there, which when divided by 7 will give 5 as a remainder.
2) A right angled triangle ABC was given in which angle C is 90 degrees. BC=4, AD=3. D is a point on BC. Given that the perimeter of triangle ABD is equal to the perimeter of triangle ADC. Then find the ratio BD/DC.
3) Got two questions on probability....dont remember them now.....will post them once i rem them.
4) A circle with Centre C was given, and there were two points A and B on the circumference of the circle. ABC form a triangle such that angle C is 90 degrees.
131) |s| / root(r square) = 1
col a : s; col b: r
i think it c . ie s=2 or -2 and r =2 or -2 ans ll be same
32)COL-A::(-1)(2)(-3)(4)(-5)
COL-B:((1)(-2)(3)(-4)( 5)
133)SHEVAN GAV20% OF HIS BASE BALL CRDS TO MART AND 15% TO SPENSTER,IF HE STILL HAV 520 CRDZ HOW MANY DID HE HAV ORIGINALLY? A)555 B)888) C)1000 D)700 E)800
Ans E, 800
let the person has x cards
then (x/5)+(15/100)(4x/5)+520=x then solving for the equation i got this ans .....
15/100*(x)+20/100*(x)+520 = x
now solve that u get 800....
134)a girl wants to build a circular fence around garden.the max dist betw any 2 points on the garden is 6 feet...what will be lenght of circular fence?
If u observe d ques, d max dist b/w d points is diameter, hence length is circumference of field
D ans is 2*pi*r=6pi
135)colA: Angle formed by hour hand and min hand of clock at quarter past any hour
colB:90 Degrees
C, itshd be d, bcoz u can consider cases like 12.15 in dis case it will be 90 but not in other caseslike 2.15,3.15(angle is 0)..
so d
136)colA: 5/8; colB: root of 5/4
Col A =1.1180........................and colb=0.625
thus answer is cola
37)Clock problem
col a
cola is greater bcoz the hour hand will b closer to the next hour for any hour,thus always it is greater than 90 degrees
138)If the Avg of 5 odd numbers is 7 then if the odd numbers are set in descending order then wat wud be the middle number?
3 +5 +7 +9 +11=35
35/5= 7 ; ans : middle number 7
39)Go through the SD clearly got 2 questions from that!! one was that adding a no x to the list of x1,x2,x3,....xn
col a col b
sd of x1,x2,x3...xn x1,cx2,cx3.....,cxn,c; Ans: c
40)2. there are 3 '*', 2 '?' and one '$'in how many ways we can arrange the symbols in
6 places(eg: *$?**? )
answer is 36
i am getting 60
141)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!!
61800 cu.ft!!
142)a set of six squares is given, they are arranges as a cross four vertical and 3 horizantal... from one end of the cross a diagonal is drawn to the other end!!
now the diagonal length is 12, find the area of the whole set!!
143)
root(1+ root(1+root(2))) root((root2 /2)+ root((2+root2)/2))
this was my 25th question had no time to solve....
Ans: column b....
col A..correct..
144)a merchant sold 1000 widgets with no profil or loss... for the next widgets he sold ffor a profit of 0.50$ each...and now his total porfit is p. now calculate the whole profit he made including the 100 widgets!
sorry have no options or answer for it!!
172)a circle is given and a chord is in the circle from the center a rt angled triangle is formed. find the area of the shaded region (sector - triangle)
colA colb
area of triangle 2*area of shaded region
ans: b
173)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 1/2
ans: A or
it shuld be b. Let the no of employees be 32.so parttime workers are 3/4*32=24....and out of these 3/8 are temporary ======>3/8 of 24 .ie, 9 ...so these 9 are included in 24........so only parttime workers are 24-9=15......ratio is 15/32= 0.46875 and colb=1/2=0.5.
173)Between 20 and 40 how many numbers are there, which when divided by 7 will give 5 as a remainder.
Ans = 2 : (only 26 and 33 leaves a remainder of 5 when
174) 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
175)A man sold two of his houses where he gain 20% in his first house and he lost 20% in the second house.If he sold each of the house for 21,00,000$ then what is the difference between the total sum of the original price of the two houses to 42,00,000$?
176)Given the values 2,4,6,8 and 33,34,36,38.
col-A: standard deviation of 2,4,6,8
col-B: standard deviation of 33,34,36,38
177) given 3
col-B: 1/(1+x)
178)given the hypotenuse of a right angle triangle as 20 and one of the side is 16.
col-A: area of that triangle: col-B: 96
179)modulas of x = modulas of y.
and x^2 = y^2 (pronounce as x-square and y-squ
180. The perimeter of the rectangle is 20 , a triangle was inscribed in the rect with its base equal to its length and height equal to its width . need to find out area of the rect ?
a) 10
b) 12
c) 20
d) 24
e) 38 : ANS : B
