TCS 2015 off campus all india exam held on 20th February questions2
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1. Of
6000 apples harvested every third apple was too small,evey 4rth apple was too
green and every tenth apple was bruised.the remaining apples were perfect.how
many perfect apples were harvested. A)2100 b)2800 c)1900 d)2600
2. How
many words of 11letters could be Formed with all the vowels present only in the
even places ,and the consonants only in the odd places,using letters of english
alphabet each letter may appear only once.the vowels are A E I O U and
consonants are remaining letters of the alphabet .in the answers n! denotes n
factorial a)21! B)26!/5! C) 21! /(5! * 5! ) d)21!* 5!/5!
3. Two
cars starts from a & b and travel towards each other at speeds 0f 59 kmph
and 60 kmph respectively at the time of their meeting the second car has
travelled 120km more than the first the distance between a & b in kms is a)720 b)1230 c)1320 d) 600
4. The
quality of bricks produced in a brick kiln depends on the maintenance of
temperature in the kiln .the average temperature of a brick kiln on Tuesday,
Wednesday and Thursday was 476 degrees Celsius the average temperature of the
kiln on Wednesday Thursday and Friday was 532 degrees Celsius if the average
temperature of kiln on Friday 381 degrees .find the temperature in degrees Celsius
on Tuesday. A) 213 b) 666 c) 504 d) none
5. If
(3a+6b)/(5a+12b) =(12/23) determine the value of (3a^{2 }+5b^{2 })/(abs) a)9 b)19/2 c)32/3 d)31/3
6. If
3<=P<=10 and 12<=
Q<=21 WHAT IS THE DIFFERNCE BETWEEN
THE LARGEST AND SMALLEST POSSIBLE VALUES OF P/Q? a)5/6 b)29/42 c)1/7
d)none
7. Babla
alone can do a piece of work in 10 days ashu alone can do it in 15 days. The
total wages for the work in Rs.5000 .how much should babla be paid of they work
together for entire duration of the work a)4000 b)3000 c)5000 d)2000
8. Suppose
that the function f is defined on natural numbers (integers>0) such that
f(1)=1 &f(x+y)=f(x)+f(y)+3xy+3 for
all x,y.whart is the value of f(5)+f(7)?
A)140 b)215 c)135 d)129
9. A
series of books was published at ten years intervals. When the 10^{th}
book was issued the sum of the publication year was 19,560.when was the first book
published a)1911 b)1910 c)1914 d)1909
10. Jake
and paul start together to walk 10kms jake walks 1.5kmph faster than paul and
arrives at his destination 1.5 hours earlier than paul jakes speed walking
is a)6kmph b)2kmph c)4 kmph d)8 kmph
11. The
sum of two numbers is 2016 and their product is 32 the sum of their reciprocals
is ans:63
12. Raj
travels a part of his journey by taxi paying Rs15 per km and the rest by train
paying Rs21 per km if he travels total
450km and pays Rs8130 the distance travelled by rail is a)180km b)260km c)190 d)230
13. F(x)=ax+b
where a and b are real numbers if f(f(f(x)))=8x+21 what is the value of a+b?
a)2 b)4 c)5 d)3
14. Consider
the set of integers 1000,1001,1002,……………………………………..9998,9999 how many integers
in this set donot contain the digit 7? A)5832 b)2888 c)1444 d)6746
15. A
2 inch cube(2*2*2) of silver weighs 1.5 kilos and is worth Rs1000.how much is a
three inch cube of silver worth a)18750
b)33750 c)22500 d)28000
16. The
difference between 6 times and 11 times of any integer is 95.what is the number
?a)23 b)22 c)24 d)19
17. Two
workers one young one old live together and work at same office it takes 20
minutes for the young to walk to office ald men takes 30 minutes for the same
distance when will the young may catch up with old man if the old man starts at
10:05 am? A)10:10 b)10:15 c)10:25 d)10:20
18. On
the calenders page shown a 3*3 block of numbers has a sum of 198. What is the
smallest number in the block in
april month
sunday

mon

Tuesday

Wednesday

Thursday

friday

Saturday

1

2

3

4

5


30

a)14
b)10 c)9 d)13
19.we know that the
vertices of quadrilateral A,B,C,D are 2,5,6,3 cms respectively from a point p
what is the largest possible area in sq.cms of ABCD a)16 b)48 c)32 d)24
20. Rs.7791 is divided
among shills=a ,beena and chris in such a way that if Rs.34 Rs.32 and Rs.29 be
deduced from their respective shares they are left with money in the ratio
8:6:12 find shilas share in rupees a)2402 b)1798 c)1808 d)2397
21. arun makes a
popular a brand of icecream in a rectangular shapeds bar 6cm long,5cm wide and
2cm thick to cut costs the company has decided to reduce the volume of the bar
by 19% the thickness will remain the same but the length and width will be
reduced by same percentage the new width will be a)7.5 b)6.5 c)4.5 d)5.5
22. in a single throw
with two dice find the probability that their sum is a multiple either of 3 or
4 a)1/3 b)5/9 c)17/36 d)1/2
23.the average
temperature of june july and august was 31 degrees the average temperature of
july august and september was 28 degrees if the temperature of june was 30
degrees find the temperature of september in degrees a)22 b) 19 c)20 d)21
24. jake can dig a well
in 16 days paul can dig the same well in 24 days.jake,paul and hari together
dig the well in 8 days. Hari alone can dig the well in a)48 days b)24 days c)96
days d)32 days
25.in copying a problem
involving multiplication of two numbers as 76 instead of 67.his
answer was 288 larger
than it should have been the correct answer to the multiplication problem is
a)2144 b)5396 c)2278 d)5548
26.of a set of 30
numbers average of first 10 numbers =average of last 20 numbers then the sum of
the last 20 numbers is? a)sum of first ten numbers b)2* sum of first ten
numbers c)cannot be determined d)4* sum of last ten numbers
27.construct the number 101102103104………………………149250 obtained by writing
the numbers 101,102,……………..149,150
together what is the remainder when this number is divided by 9 a)0 b)8 c)2 d)3
28.five circles are
drawn on a piece of paper and connected as shown each circle must be coloured
red,blue and green two circles connected by a straight line may not be the same
colour how many different ways are there to color the circles a)48 b)24 c)36
d)64
29.the number 2^{32 }1 has several divisors
greater than 1 and less than 100.the sum of these divisors is clue:2^{2n}+1 is a prime for
n=1,2,3,4 a)172 b)125 c)91 d)176
30.starting with number 3,repeat 30 times the
operation of doubling and substracting then you get a)2^{31}+1 b)3*2^{31
} c)2^{31}1 d)3*2^{30}
31.a mother her little daughter and her just born
infant boy together stood on a weighing machine which shows 74kgs.how much does
the daughter weigh if the mother weighs 46kg more than the combined weight of
daughter and the infant and the infant weighs 60% less than the daughter a)9
b)11 c)cannot be determined d)10
32.a chessboard of size 10*10 using alternative
black and white squares is displayed on a computer screen one can reverse the
color in a selected rectangular subarray of the squares by pressing ctrl+R find
the minimum number of times one needs to press ctrl+R to make all the square
the same color,either all black or all white clue:how
many times one must press ctrl+R to convert the chessboard into alternate black
and white strips a)10 b)20 c)9 d)50
33.the number 64 is divisible by its units digit
(4).how many whole number less than 64 are divisible by these respective units
digit a)26 b)32 c)44 d)23
34.Rs19266 is distributed among a b c such that a
gets 4/45 of what b and c get together and c gets 7/12 of what a and b gets
together. Find c share
a)7098 b)6084 c)4056 d)8112
35.given the digits 1,3,6,9 find the probability
that a 3 digit number formed by using them with no digit repeated is divisible
by 4 a)1/12 b)1/4 c)1/6 d)none
36.a student rolls two 6 sided red die and one 6
sided blue die what is the probability that number shown on the blue die
exceeds both the number on the red die
a)1/6 b)5/36 c)55/216 d)1/2
37.y can do a work in 2/3 the time it takes x, z can
do same work in ¾ time it takes y. when all three are typing the same time what
is the fraction of total work does y do
a)4/13 b)8/29 c)1/3
d)9/23
38.the tcs office at siruseri is at a distance of
21km from baburaj’s home.when he leaves home 10 minutes late his travel time
increases by 40% if leaving late decreases his average speed by 12kmph how long
does his commute take when he leaves on time a)1 hour b)21minutes c)30 minutes
d)40 minutes
39.i just finished three marbles games and have
twenty one marbles. In the first game ,I lost half my marbles. In the second
game I won eleven times what I had at the end of first game. In the third game
,I won 9 marbles. How many marbles did I have when I started playing a)8 b)6 c)2 d)4
40.in a certain tournament certain rules are
followed: any player is eliminated the moment he losses for the third time (irrespective
of how many wins he has), any player can play another player any number of
times. If 512 contestants enter the tournament what is the largest number of
games that could be played?
A)1535 b)1533 c)1536 d)1534
41.a school bus has 15 rows with two benches each
;each bench seats three. Sara prefers to
sit directly next to megan . Tomas
prefers to sit next to sara ,possibly across the aisle from her megan
has no preference no child sits in the same seat twice if the children ride the
bus to school and back every day which is the trip they need to break the
preference for the first time? A)the
trip to home on 22^{nd} day. B) the trip to school on 23^{rd}
day. C) the trip to home on 23^{rd}
day. D) the trip to school on 24^{nrthd}
day.