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This is the pattern of PCS

There was only aptitude test of 40 questions with negative marking of -1 for each wrong answer.I could recollect only few of them .

1.mod(x)+cube(x)=0
1.(0,-1) 2.(0,-1,1) 3.(0,-1,-2) 4.indeterminate
ans:(0,-1)
2.if a+b+c < 1 then ab+bc+ac = ?
1. <1/2 2 >1/2 3.1 4.none of these.
ans <1/2.

3.if a man earns Rs20 on first day and spends Rs15 on second day ,and earns Rs20 on third day and spends Rs 15 on fourth day and goes on on which day he will be having Rs 60.
ans. 17th day. (similar to sakuntala devi monkey puzzle).
4.int a tennis tournment there are 137 players .to decide the winner among them how many matches should be played among them.such that if a player losts the match he is not eligible for the next round.
ans.136
5.if there is only 1 kg weight with you in how many minimum weighings u would weigh 31 kg.
ans 5.
6.between 1 and 100 toatl no of numbers divisible by 3 ,9 and 27.
7.between 1 and 100 toatl no of numbers divisible by any two of 3 ,9 and 27.
8.between 1 and 100 toatl no of numbers divisible by exactly two of 3 ,9 and 27.
9.between 1 and 100 toatl no of numbers divisible by all the 3 ,9 and 27.
10. if m and n divisible by 5 then which of thw following br not necessarily br true.
a.m-n divisible by 5.
b.m^2 - n^2 divisible by 25.
c.m+n divisible by 5.
d.indeterminate
ans:- d
11.between numbers 10 to 99 how many numbers can be formed with the combinations of 0,1,2,3,4.
12. M*n= -1 then m+n=0 if m ,n are consecutive odd numbers.
13.if three cubes are numbered with 1 ,2,3 onthere faces then what is the probability of drawing the cubes on after the other cubes with replacement threee times for N=1,2,3.
14.the perimeter of an equilateral triangle is 45.if one of the side is the side of an isoceles triangle of perimeter 40 then what is the
lenght of base of isoceles triangle.
ans:40
15 AA is two digit number then m times its cube of AA has 1 in its tens place then what is m.
16.the twonumbers (23__)^32 and (12__)^ 33 has 6 in the last digit what is the missing digit.
17.once 3000 students went ot amusement park.there are three kinds of trips of Rs 1 each .in which 800 students tokk all the three trips and 1400 students took atleast 2 trips and no student took more than one round. if the amusement park collected a total of Rs7200 then find the total number os students who took no trip.
18.The ratio of white balls to black balls is 1:2.If 9 grey balls are added then the ratio of white:black:grey is 2:4:3.Find the number of black balls.
ans:12
19.15x^2 -ax +60=0
if one root is square of other then find a.
20.82*83*84*....89 what is the digit in units place.
ans 0.
21.if A and B run on a circular path in opposite directions of constant speeds with different velocities from P and Q. First time they meet 800 mts away from P and second time they meet 700 mts away from P, what is the lenght of the circular path.
22.venn diagram on English French and Germany.
23.Venn diagram on news papers.
24.if a,b,c,d,e are in group discussion with following group rules what is the probability of a talking before b.





1. square root of(PQ)=8 then 4 options 
Ans:p+q =1: is not possible 

2. equilateral triangle of side 10 units. cow is teethered with a 
rope of length 7 units at one of the vertex. Find the area of the 
field grazed. ans-77/3

3.Series till 50 terms: 2+3-5 +2+3-5+.... ans:5 

5.when x is diveded by 299 remainder is 100. then when x is 
divided by 23 remainder is ? ans:8 

6. there r 2 groups A and B. A boy goes from gp A to gp B. When he 
goes the ave wt of both the gps A and B increases. Then? 
ans:ave wt of gp A>wt of boy is>ave wt of gp B 

7. (7^2)^3 and 7^2^3. What is the relation between the 2 . ie 
>,<,= ans- (7^2)^3<7^2^3. 

8.Train speed 36kph. Dist travelled in 3minutes in meters ans-1800m

9. with the digits 1,2,3,4,5,6 make all 6 digit nos which r not 
divisible by 5. The no of such 6 digit nos is ans:600

10. x 2.5 3.5 1.5 
y25 49 9 
then what is the relation between x and y 
ans:y is directly proportional to (2x)^2

11.18kg of fresh grapes have 90% water. dry grapes have 20% water. 
then the weight of the dry grapes is ans:2.25kg

14.population is 20000. Pop increases by 10% every year, then the 
pop after 3 years is? ans-26620

15.Dist bet 2 places A and B is given. A man P starts from place A 
at 9 pm and another man Q goes from B at 10pm . Speed of Q is 
double of that of P. Both cover 1/4 dist in the same time 
interval. then A travels the entire dist in time ? ans:8hrs 

17.Entry fee is Re1. There r 3 rides each is of Re1. Total boys 
entering is 3000. Total income is Rs 7200. 800 students do all the 
3 rides. 1400 go for atleast 2 rides. None go the same ride twice. 
Then no of students who do not go any ride is 
ans:1400 (check-1000)

19. 1,23,45,67... ans:-89

20. m is div by 5, n is div by 5 
m-n is div by 5 m*n is div by 25 
ans:then m+n is not div by 10 

22.Cube of side 5 cms is fully painted in alll the 6 sides. it is 
then cut into cubes each of side 1 cms. then prob that 2 sides r 
painted is ans:36/125 

24.A is 25% bigger than B B is 20% less than C 
then the relation bet A, B, C ans 5:4:5

25.A cone and a sphere have the same radius. and in the cone we 
put the sphere then how much of sphere will be inside the cone 
a)1/2 b)>1/2 c)<1/2 ans d)1/4 

26. there r 5 papers Ratio of marks obtained in each subject is 
6:7:8:9:10. Total marks obtained is 60%. 50% is pass marks. In how 
many subjects did he get above 50%. ans:4 

27. which one is not correct a)cube rootof 343. 
b)3.24 is not an integer Ans:none of these 

28.A and B r 2 men who enter into business and they invest Rs 1000, Rs 2000
resp. How will they divide the income of Rs 5000 .ans 5000/3 & 5000(2/3)

29. 9C2 + 9C3 +10C4=? ans 11c4 

1. 10^23-7 is divided by 6, remainder is? ans-3

2. if x+y+z =1. then xy+yz+zx is 
a)<1/2 ans b)>1/2 c)=1/2 

12.nos from 1 to 100. 
a)find all the nos which r divisble by 3,9,27 --33
b)at least 2 --11
c) only 2 --8
d) none --67

13. 3 balls inside a bag having nos on it written 1 , 2, 3 on it. 
a ball is taken and then put inside it. Find probability that all 
3 nos r the same when it is taken 3 times ans-1/27

27)15c6+15c7+16c8=== 17cx ans- x== 8 or 9. 

28)three men invested sum. and their ratio is 5:7:6. profit is
5400.then b's share ans--2100

29)sum of all 5 digit nos formed using 1,3,5,7,9. ans---6666600
(11111+33333+55555+77777+99999)*24. each digit occupies all the
places for 24 times.

30)x and y even nos. x>y which is even. a)x+y b)x-y c) 2x/y (not)

31)1/2 divived by 1/2 of 1/2 ) whole divided by 1/2 +1/2 of 1/2
ans----- 2 2/3. or 8/3.

32) trees of heights 30 and 40 sepatated by a river. fish in 
the river is at equal dis from top of the trees where two birds r
there.ratio of the distances from fish to the root of the tress 
ans---4:3.

34)three cones (r=r,l=2r)are arranged upright so that each cone
is in contact with other two .and a circle is formed passing
through its vertices. what will be its radius. ans 2r/sqrt(3)

1. What number must be added to 1/x to make it equal to x. Ans. (x2-1)x

2. Some pen bought something at loss for Rs 60.He then sold it the price 
of 81 and his profit was 20% of the loss.At what price did he buy the 
object. Ans. calculate. ans-77.50

6.one disk of 20cm radius, out of that 4 disk of 5cm are cut ,
find diffrence of leftout and cut out area:ans-200pi

7.(X)+(1/x)=3 then (xsquare) + 1/(xsquare) = ??ANS-7

10.a box contain 4 small bos, each small box again contain 3 box,again 
these box contain 2 box . total how many boxes ANS-1+4+12+24=41

11. between 100 to 200 how many no are divisible by both 3 and 2
and 100,200 are inclusive? ans-68

12. How many two digit no you make by 1,2,3,4,0 Ans=16 because 0 is 
not in the 10th place.

18. (25...) 32 and (25....)31 in both cases 6 in the last position. What
should be in the blanks? Ans 6 

19. In a GD there is no restriction in saying something between the
participants. A, B, C, D, E be the participant. What's is probability to say B
before A. i) 20%, ii) 40%, iii) 50%, iv) none of these. Ans. 50%.

20. You have only 1 kg weight. You have to weight 31kg. Min number of
measurements you have to done. Ans. 5 as 1+2+4+8+16=31.

21. Min (a, b, c)=min of a, b, c Max (a, b, c,)=max of a, b, c then what is
the value of MAX {min (2,5,7), max (-7, -2, -3), 3}. ans-3

22. The product of two consecutive odd no is -1, then what is the value of the
sum of them. Ans. 0 as -1*1 becomes -1.

23. Few years ago on 31st January on her 26th birthday a lady laid a baby. Now
what's the sum of their ages? i) 37, ii) 38, iii) 43, iv) 51. I am confused
about the answer. It may be any even no. as (26+x)+x. So I think it are 38.

25. 81*82*83*84*85*86*87*89. What should be in the unit place in this product?
Ans. It must be 0 as 5*2=10

26. In a company ones salary increases 6/5 times in every year. After 4 year
of joining average salary is 1342. Then what's the starting salary of the
company? A) 900, b) 1000, c) 1100, d) 1200. Ans.= 1000

27. Perimeter of an equilateral and isosceles is 45 and 40 respectively. At
least one of the sides of isosceles is equal to the equilateral. What's the
base of isosceles triangle? Ans. 10. As. 45/3=15. 15+15+10=40.

28. Two people P Q start a race in a circular track in opposite way different
but constant speed. First they meet 900m cw from the starting pt. Then they
meet 800m ccw from the starting pt. What's the circumference of the circle.
ans-2600m

1.what is the angle between teo hands of a clock when time is 8-30
ans:75deg

2.a student is ranked 13th from right and 8th from left.how many are
there(similer)-ans-20

9.man walks east & from turns to right & from to left &then 45degrees
to
right.in which direction he went ans:south east

12.a student got 70% in one subject,80% in other.to get overall 75%
how much
he
should get in third subject.ans-75%

12.a news paper must have a.news b.advertizements 3.editor 4.date
5.paper

13.if clouds are air, air are water and so on where birds fly?ans-water

16.a man showed to a woman sitting in a pack & told to his friend.she
is
the
daughter of my grand mother only son ans:sister

1. Average 3years 45,000, 1st 1.5 times, 2nd 2.5 times..
>

(Calculate in this way... (x+1.5x+2.5x)/3 = 45000 i.e 5x/3 =
>45000 )

2. Three vehecle speed ratio 1:2:3 & time ratio 3:2:1...

Distance ratio ??
>
> (Ans: 3:4:3.. 

26. What is the value of p in the equation (15X2-pX+120)=0 if the one root of is must be the double of the other. Ans. May be 90 as the roots are 30,60.

1.a school has 4 maths 3 physics and 3 chemistry teachers each teacher can teach 2 subjects max what is he minimum number of teachers required ans-5

5.there is a circle of radius 5.what is the area of the biggest rectangle that can be cut out of this circle ans-50

6.in a chess board 2 squares are cut out leaving 61 squares if we place blocks each of length=lengthof 2 squares and width=width of 1 square how many blocks will be necessary ans-31

7.how many minimum number of weigh are required to weigh 1-40kg using a 
weighing pan ans-27,9,3,1 

9.radius =3 of a sphere it is melted to form a cube.what is the ratio of the volume of cube to the volume of the sphere ans=1:1 

11 there are 4 consonants 3 vowels how many 6 letter strings can u form with atleast one vowels in each ans-5040 (check

12. binary rep of .6875 
ans-1011

5. There r 3 boys & 4 girls; Howmany ways they r arranged
such that boys should be always together ???

(Ans: (720)check

12. Two motor cycles A & B are started from one point at
4 Kmph & 6 Kmph; After 45 min B starts returning , at what
time they will reach....

(Ans: 3.6 km nd .9 hr)

3. a+2b=6,ab=4 2/a + 1/b=? 
> ans : 3/2

12.cube is moulded as a sphere. find the ratio of
> cube of surface area
> of sphere to cube of surface area of cube. ans pi/6

1. A make a wall in 9 hour. B makes a wall in 10 hour. When doing together 10 more bricks are required and together make a wall in 5 hour. How many bricks r there in the wall? (190)

3. A man got 20 rupees in 1st day. Next day spent 15 rupees. 3rd day got rupees 20. 4th day spent 15.hoew many days r required to save 60 rupees? Ans (17

4. Apple, orange, mango. Mango + apple=12. Mango + orange=10. 
Mango +Apple + orange=38. Calculate the no of mango?ans-8

5. 40 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 4 like all. How many people like apple? (26)

6. | x | + x^3 =0 solve x. (-1,0)

12. Round trip time of 110 meters in a river is 16 min. the velocity of stream is 3m/min. what is the velocity of the person in the still water? (8)

Q3) word "courageously" is given . form the word chosing thefirst,sixth,
seventh and eleventh letter. whether ny word can be formed from this word, 
then how many.?

Q1)cube is of size 5*5*5 .every side has een oloured. it is divided into 
125equal parts.
1) what is the no. of parts having only one side coloured - 54.
2) no. of parts having two sided oloured 36.
3) having no side coloured - 27.

Q3) 72 67 66 61 60 ... ans 55.

Q5) A is 16th position and 29th from down of the people who passed. 
5 failed , 6 didn't give . how many boys are there in the class : ans : 55.

4)A's 5th birthday is on 12th which is a (say) Monday of a leap year.
What willbe the day on their 6th birthday(**wednesday**).

1) A beats B by 20metres ,B beats C by20 metres in a 100 m race .Byhow 
mauch A beats C ans-36

12) If 2+3= 35, 4+5 = 189, what is 10+1=ans-121

1. A word .e. computers " is given.
Qus: using 2nd 4th 6th & last letters of the word given form a meaningful
word 
Ans: Stop 
Qus: How many three letter words starting with a vowel can be formed
with the above word . Ans: ?

3. Pointing at a photo a man said the boy in the photo is son of my fathers
Only son . what is the relation of boy to ans: Son 

5) A person walks 25 meter North , turns left and walks 10 meter again turns
left and walks 20 meter Again turns left and walks 10 meter . how far and 
inwhich direction is e rom the starting point. Ans: 5m north

2. What is the ratio of ()to the power 3 and (1/4) to the power4 Ans:4:1 

3.If p=n-8 , m=n+10; then in terms of p,m is ? Ans : (p+18)

4.If x+m is an integer and x-m is also an integer Must be an integer. 
Ans: (probably) 2x

1.women takes 2 steps for every 3 steps of a man. if they both start from left as first step,
how many steps did man take before both of them put their right step together
Ans: 5 

2. In a garden man has to pick some flowers ans has to pass thru 3 doors. Each door has a guard.
man has to give half of the flowers he had to the guard and in return guard returns the man
him one flower back. how many flower should man pick so that at the end he is left with same
number of lowers he has picked?
Ans: 2

3. A bag contains 25 paise, 50 paise and 1 rupee coins in the ratio 7:4:3 . total no. of coins
is 360. sum of total coins is Rs. 99(don't remember exactly).
so how many 25 paise coins?

6. A two digit number reversed and multiplied by 4 is 3 more than the original digit.
what is the digit?

8. A man goes to shopkeeper and says that if u give me as much as i have ,
i will spend Rs.10/- on ur shop. shopkeeper agrees and man moves to another 
shopkeeper ans asked same. at 3rd shop after all the transaction ,
he was left with no money. find the initial amount with the man.(easy one)(2-3 questions of this type)

1.there r three commeetee two r members of all. In any two three r common members find total persons. Ans 5

4 c.p=160. mark price =25% above 160 and discount 15% find s.p

5 two horses r sold for 100rs 1 at 20% profit 2 at 20%loss find profit/loss in rs.

6 x+y+z=9& y>0,z>0 and both r int max value of x. ans 7

7. the ratio of a&b =9:4 after 7 year this become 5:3 .find the age of b.ans-8

8. a rectangle l is increased by 10 & b is decresed by 5.again l is decresed by5 and b is increased by 4 area unaltered in both case find l.

9. consecutive discout of 10%, 15% and then 199 is s.p find c.p.ans-~~260

10. what % of x^2 is (2/3)x ans . can not determined

11. first container contain half oil. Second container of double volume contains the oil.what is the fration when both r mixed . ans 1/3.

12. x>y>z then which is true.
a) x% of y> y% of z
b) y%of x >z% of y C) z% of x> y% of z d) all of these. Ans d

15. milk and water is in ratio 5:1 and in other vessel the ratio is 2:1 when they mixed what is the ratio ans-3:1





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