Patni Qualifying test, 9th Sep 2004

pattern:

There were 40 questions and time was 1 hr. I think cutoff was 25

questions. I did 35 questions because I had 19 questions in advance.

I cleared written test but not able to qualify GD.

The eligibility criteria was 60% in qualifying degree and Only for

freshers

Branches allowed: MCA, BE (ALL)

After this test they had a GD

In GD there are 12 students in one groups

Topics

1 How India can be developed by 2020.

2 Globle terrerism

3 Min education for politicians

4 Cherity should be given Or not

After GD they had an interview = technical + HR.

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?

GD topics in j.u.:

Arrange marriage and love marriage

Terrorism

Coco cola & pepsi recent prob

Advantage & dis advantages of campus interview

social crime