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PCS
Placement Paper-5 |
1.f(a) = a2 + 4 and g(a,b)
= b2 + a then find g(f(3),4)
Ans 7
2.If A can do a work in 20 days, B can do a work in 15
days and C can
do the same in 12 days
If A work one day with B and in day with C and so on the
how many
days requird to complete
the work.
3.If a>0 and b < 0 then which of the following is true?
Ans: a-b>0(D)
4.Which of the following is true?
ans. 732=(73)2
5.A and B income is in the rato 5:3, A, B, C spend in
the ratio
8:5:2, If C's expenditure is Rs 2000 and B saves Rs 7000
what's A
Savings?
Ans 1500/-
6. There are 3000 students go to the park and the entry
fee per
student was 1/-. Three types of rides were available
each cost was 1/-
per student. If 800 students took all three rides and
1400 student
took at least two rides. If 7200/- was collected then
how many
students took no ride.
Ans: 1000(D).
7. Which of following are true:
i. Multiplication of two prime
numbers is even.
ii. 0.34 is not integer.
iii. (27)1/ 3 is not a surd.
iv. There is only one prime number
which is divisible by 2
8. amar,akbar,antony eat lunch at the same restaurant
everyday.if
amar orders a dosa,then akbar also orders adosa.either
akbar or
antony always orders a dosa,but never at the same
lunch.either
amar or antony or both order a dosa.if antony ordes a
dosa ,then
amar also orders a dosa.youy can conclude that:
a.amar, akbar,antony always order adosa.
b.amar and antony sometimes order a dosa,akbar never
does.
c.amar and akbar always order a dosa,antony never
does.(ANS)
d.amar and antony always order adosa,akbar never does.
9. square root of(PQ)=8 then 4 options
Ans:p+q =1: is not possible
10. 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
11.Series till 50 terms: 2+3-5 +2+3-5+.... ans:5
12.when x is diveded by 299 remainder is 100. then when
x is
divided by 23 remainder is ? ans:8
13. 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
14. (7^2)^3 and 7^2^3. What is the relation between the
2 . ie
>,<,= ans- (7^2)^3<7^2^3.
15.Train speed 36kph. Dist travelled in 3minutes in
meters ans-1800m
16. 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
!6-!5
17.18kg of fresh grapes have 90% water. dry grapes have
20% water.
then the weight of the dry grapes is ans: 2.25kg
18.population is 20000. Pop increases by 10% every year,
then the
pop after 3 years is? ans-26620
19.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)
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
21.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
22. 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
23. which one is not correct a)cube root of 343.
b)3.24 is not an integer Ans:none of these
24. 9C2 + 9C3 +10C4=? ans 11c4
25.15c6+15c7+16c8=== 17cx ans- x== 8 or 9.
26.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.
27.x and y even nos. x>y which is even. a)x+y b)x-y c)
2x/y (not)
28. 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.
29.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)
30.A girl start counting from his thumb and goto little
finger and
count reverse towards thumb it is 9 and keep it continue
.find which
finger will have the value 1789.
a)forefinger b)little c)thumb d)Ringfinger
31.ABC is a 3 digit no.and A>0.If sum of digit of
factorial of this
no is equal to
the no then find B.
32.Which volume will be least (not exactly)
1.sphere with radius 3
2.cuboid l=5,b=2,h=10
3.cone h=10 r=3
1. 10^23-7 is divided by 6, remainder is? (ans 3)
2. if x+y+z =1. then xy+yz+zx is (ans-a)
a)<1/2
b)>1/2
c)=1/2
3. 5 questions based on venn diag Check from R S
Agarwala. Like
Some people eat mangoes and apples, some eat only
apples.....
then
how many eat only....
10. Spped of river and boat given and ........
11. Find circumference of circle, 2 people start at one
point
and
reach a pt whose dist is given. Then again from there
they start
and agian reach a pt whose dist is given .
12.nos from 1 to 100.
a)find all the nos which r divisble by 3,9,27
b)at least 2
c) only 2
d) none
13. 3 balls inside a bag having nos on it written 1, 2,
3 on it.
fa ball is taken and then put inside it. Find
probability that
all
3 nos r the same when it is taken 3 times
14.2 consequtive odd nos..multi is -1 find out sum ..
ans:0
15. few days ago lady celebrated her 36th birthday.....
ans:even no
1)sqrt of (pq)=8,then ans--p+q =1 is not possible
2)qulateral triangle of 10 units.cow is tethteded with a
rope of
7
units at one of the vertices.area covered is ---77/3
3)sum of 50 terms of series 2+3-5+2+3-5........... ans
--5
4)a no is abc.sum of factorial of the three digits is
the no
itself.then b==?;a>0 ans---2
5)when x is divisible my 299 reminder is 100.then x/23
leaves
reminmder ? ans---8
6)2 groups a&b; a guy jumps from gp A to gp B and both
the
average
wts of groups increases.then avg wt of gp A>that guy>av
wt of
gp
B.
7)relation: (7^2^3).>(7^2)^3
8)train speed 36kmph.dis travelled in 3 mts==1800mts.
9)no of all possible 6 digit nos using 1,2,3,4,5,6.
which r not
divisible by 5 ans--600
10)x=1.5,2.5,2,... y= 9,25,.... relation btwen two.
ans---
y proportional to square of x.
11)20 kgs of fresh grape contain 90% water.dry grape 20%
water.
20kgs of fresh grape == ans---2.5 kgs of dry grape.
12)least volume . given four ans ---- cuboid
13)question on akbar,amar,antony ans-----antony
14)population is 20000.10% inc for every year.pop after
3
years......26620.
15)dis bt 2 points. a&b is given.a starts at 9 and b at
10 with
twice speed of a.both cover 1/4 distance in i hr.how
much time
it
will take for a to cover entire distance....ans ---8hrs.
16)each soldier has 2 horses.....ans ---indeterminent.
17)entry fee is rs. 1. 3000 went to park. each ride rs .
1.....
800 all three.1400 atleast two rides.total collected
7200.
no of people -no ride ans ---- 1000
18)a,b,c, do work in 12,20...... ans---- 8 days.
19)m div by 5, n div by 5. then which is wrong ans-- m+n
div
by
10.
20)1771+1773+1775+1777... .reminder when divisible by 6
is.(1+3+...) ans is 7.
21)cube of side 5 painted in blue on all its faces.cut
into i
unit
cubes.probability that 2 sides painted is ... 36/125
22)a>0;b<0. then ans---a-b>0.
23)a 25%> than b.b 20%<c.. then relation...
24)a cone and sphere has same radius.if sphere is kept
in cone
then the part goes in cone is ans--- less than half.
25)marks got in 5 papers is 6:7:8:9:10.total obtained is
60%.
50%
is pass. then no of sub he passed is ans--4
26)wich is not correct... a)cube of 343 b) etc ........
ans--- none of these.
27)15c6+15c7+16c8=== 17cx then x== 8 or 9. n c r + n c
r-1 =
n+1 c r. and n c r === n c s if and only if r=s or r +s
=n;
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
boirds r
there.
ratio of the distances from fish to the root of the
tress
ans---
4:3.
33)which one of the following will have least volume
a)cube b)cuboid c)sphere d)cylinder
(the dimensions of each are given) ans-----cuboid with
l=2,b=5,h=10
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.
1. What number must be added to 1/x to make it equal to
x.
Ans. (x2-1)x
2. Some pers 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.
3. age problems easy
father age, elder son age and yonger son age releation
given u
have to tell father age?
4. Km/hr and time distance problems
one person start run on 11am. with 4 Km/hr and another
man
start
at 1:30 pm with 1 km/hr in first hr,2 kph in the 2nd hr
and so
on. at what distance they will meet.??
4)one disk of 20cm radius, out of that 4 disk of 5cm are
cut ,
find diffrence of leftout and cut out area:
5) (X)+(1/X)=3 then (xsquare) + 1/(Ysquare) = ??
6)see divisibilty rules??
which no is divided by both 9 and 11??
7)only one question of this type
p,q,r,s, 4 statments r there , if p is true hen q is
true, if q
is true then r is true, s is true then at least of q and
r
should
false then what is correct ??/
8)a box contain 4 small bos, each small box again
contain 3 box,
again these box contain 2 box . total how many boxes ?
9) between 100 to 200 how many no are divisible by both
3 and 2
and 100,200 are i1. If x+y+z=0 then the value xy+yz+zx=
i)<1/2, ii)>1/2, iii)=1/2, iv)none of these.
2. How many two digit no you make by 1,2,3,4,0 Ans=16
because 0 is not in the 10th place.
3. 1-100, how many number cannot divide by any of 3,9,27
4. How many number divide by any of 3,9,27
5. How many number divide by only any of 2
6. How many number divide by any 1
7. Other one Q related it. I forget it.
8. (25...) 32 and (25....)31 in both cases 6 in the last
position. What should be in the blanks? Ans 6 as 6*6=36,
6*6*6=216
9. 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%.
10. 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.
11. 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} thus.
12. 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.
13. 5 or 6 easy Vane Diagrams
19. In a box there's 3 cubes numbered 1,2,3. What is the
probability to pick up any one ball all the three time
by replacing it to others? Ans. =1/3*1/3*1/3=1/27
20. 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. 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.
27. Two trains P Q starts from A and B respectively
towards each other. After 1 hour of starting of P Q
starts and after sometime both of them covered the 1/4th
of the total distance of AB. In how many times Q cover
the total distance. I forget the Question. But the ans.
May be 8.
28. 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
29. 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.
30. 3000 students went to visit to a park. The entry fee
re.1. There are three
rides................................ Profit of
authority is Rs. 7200... Ans. 1000.
31. 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.nclusive?
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