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Patni Computer Systems |
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Aptitude |
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Patni Computers (PCS)
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 tethered 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 divided 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 traveled 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
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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
difference of left out 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
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1.what is the angle between two 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 vehicle 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 choosing the first,
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 been coloured. 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 coloured 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 will be the day on their 6th birthday(**wednesday**).
1) A beats B by 20metres ,B beats C by20 metres in a 100 m race. By how
much 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 in which direction is e rom the starting point. Ans: 5m north
2. What is the ratio of (¼)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 committee 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 decreased by 5.again l is
decreased by5 and b is increased by 4 area unaltered in both case find
l.
9. consecutive discount 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 ¼ the oil. what is the fraction 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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