Monday 11 June 2012

TCS placement paper (Quants)


1)  'male of an elephant and male of a bird
make a combo phrase, to believe - it's so hard.'
which phrase am i hinting to ?

Solution:
COCK AND BULL STORY
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2) m*n^2 * ( m + n^2 ) = 2^13 .solve for m and n by deduction.

Solution:
Assuming that we're looking for integers, m, n^2, and m + n^2 are all
powers of 2.  The third is only possible if m = n^2.
Let m = 2^x, then
  2^x * 2^x * 2^(x+1) = 2^13
  3x + 1 = 13
  x = 4
which gives m = 16, n = 4.
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3) 1!*2!*3!*4!* 5!*6!*... ......... ......100! .find the number of zero?

Solution:
4! has no 5
5! to 9! each  has one five
10! to 14! each has 2 five etc
25! has 5+1= 6 etc in this way u can make series
4*0+ 5(1+2+3+4+6+7+8+9+10+12+13+14+15+16+18+19+20+21+22+24)
= 5*(sum(1 to 24 ) - 5 -11 - 17 - 23)
= 5*(24*25/2  - 56)
= 5*(300-56)
= 1220 number of zeros.....
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4)Thirty men take 20 days to complete a job working 9
hours a day.How many hour a day should 40 men work to complete the
job?

(a) 8 hrs
(b) 7 1/2 hrs
(c) 7 hrs
(d) 9 hrs

Ans. (b)
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5) Find the smallest number in a GP whose sum is 38 and product 1728

(a) 12
(b) 20
(c) 8
(d) none of these

Ans. (c)
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6) A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4
hrs.Find the speed of the boat in still water and the speed of the
water current?

(a) 1/2 kmph
(b) 7/12 kmph
(c) 5 kmph
(d) none of these

Ans. (b)
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7) A goat is tied to one corner of a square plot of side 12m by a rope
7m long.Find the area it can graze?

(a) 38.5 sq.m
(b) 155 sq.m
(c) 144 sq.m
(d) 19.25 sq.m

Ans. (c)
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8).If 2x-y=4 then 6x-3y=?

(a)15
(b)12
(c)18
(d)10

Ans. (b)
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9).If x=y=2z and xyz=256 then what is the value of x?

(a)12
(b)8
(c)16
(d)6

Ans. (b)
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10). (1/10)18 - (1/10)20 = ?

(a) 99/1020
(b) 99/10
(c) 0.9
(d) none of these

Ans. (a)
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11).Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40 mins.If all of them work
together, find the time taken to fill the tank

(a) 17 1/7 mins
(b) 20 mins
(c) 8 mins
(d) none of these

Ans. (a)
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12) In one hour a boat goes 11 km long the stream and 5 km against the stream. The speed of the boat in still water is?

a) 8
b) 10
c) 12

Ans. 8
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13) A man can row 18 kmph in still water. It takes him thrice as long as row up as to row down the river. Find the rate of stream?

a) 10
b) 9
c) 8

Ans 9
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14) A man can row 71/2kmph in still watre . if in a river running at 1.5 km an hour, if takes him 50 min to row to place and back. how far off is the place?

a) 3
b) 6
c) 4

Ans 3
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15) A man can row 3 quarters of a km aganist the stream is 111/4 min. the speed of the man in still water is ?

a) 5
b) 10
c) 7.5

Ans  5

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16) Find the value of @@+25-++@1..., where @ denotes "square" and + denotes "square root".

a)121
b) 213
c) 163

Ans 121
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17)  A power unit is there by the bank of the river of 750 meters width. A cable is made from power unit to power a plant opposite to that of the river and 1500mts away from the power unit. The cost of the cable below water is Rs. 15/- per meter and cost of cable on the bank is Rs.12/- per meter. Find the total of laying the cable.

a) 13287
b) 21324
c) 20250

Ans 20250
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18) The size of the bucket is N kb. The bucket fills at the rate of 0.1 kb per millisecond. A programmer sends a program to receiver. There it waits for 10 milliseconds. And response will be back to programmer in 20 milliseconds. How much time the program takes to get a response back to the programmer, after it is sent?

a) 20.1 milli seconds
b) 30 milli seconds
c) 30.1 milli seconds

Ans 30 milli seconds
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20) What is the power of 2?

a) 2068
b) 2048
c)2668

Ans 2048
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21) A boat can travel with a speed of 13 kmph in still water. if the speed of stream is 4 kmph,find the time taken by the boat to go 68 km downstream?

a) 4
b) 6
c) 8

Ans 4
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22) A boat takes 90 min less to travel 36 miles downstream then to travel the same distence upstream. if the speed of the boat in still water is 10 mph . The speed of the stream is :

a) 4
b) 2
c) 8

Ans 2
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23) There is a road beside a river. two friends started from a place A, moved to a temple situated at another place B and then returned to A again. one of them moves on a cycle at a speed of 12 kmph, while the other sails on a boat at a speed of 10 kmph . if the river flows at the speedof 4 kmph , which of the two friends will return to place A first ?

a) Cyclist
b) Motorist

Ans Cyclist
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24) There is a road beside a river. two friends started from a place A, moved to a temple situated at another place B and then returned to A again. one of them moves on a cycle at a speed of 12 kmph, while the other sails on a boat at a speed of 10 kmph . if the river flows at the speedof 4 kmph , which of the two friends will return to place A first ? A boat takes 19 hrs for travelling downstream from point A to point B. and coming back to a point C midway between A and B. if the velocity of the sream is 4 kmph and the speed of the boat in still
water is 14 kmph. what is the distence between A and B?

a) 180
b) 220
c) 200

Ans 180
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25)There is a merry-go-round race going on. One person says,"1/3 of those in front of me and 3/4 of those behind me, give the total number of children in the race". Then the number of children took part in the race ?

a)14
b)11
c)12
d)13

Ans 13
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26) Jack,Doug and Ann, 3 children had a running race while returning from school.Mom asked who won the race.Then Jack replied" I wont tell u.I wil give u a clue,When Ann takes 28 steps Doug takes 24 steps, meantime I take 21 steps. Jack explained that his 6 steps equals Droug's 7 steps and Ann's 8 steps. Who won the race?

a)Doug
b)Jack and Am
c)Jack
d)Ann

Ans Doug
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27) If Jan is three times as old as Janice will be when Janette is as old as Jan is now, What is the order in age, from oldest to youngest?

a)oldest to youngest is Janice,Janette,Jan.
b)oldest to youngest is Janette,Jan,Janice.
c)oldest to youngest is Jan, Janette, Janice.
d)None

Ans oldest to youngest is Jan, Janette, Janice.
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28) A chicken farmer has figured out that a hen and a half can lay an egg and a half in a day and a half. How many hens does the farmer need to produce one dozen eggs in six days?

a)1
b)2
c)3
d)4

Ans 2
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29) In a college ,1/5 th of the girls and 1/8 th of the boys took part in a social camp.What of the total number of students in the college took part in the camp?

a)2/11
b)2/10
c)2/13
d)3/13

Ans 2/13
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30) A zookeeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how many horses were there in the zoo?

a)36
b)65
c)45
d)50

Ans 50
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31) A three digit number consists of 9,5 and one more number . When these digits are reversed and then subtracted from the original number the answer yielded will be consisting of the same digits arranged yet in a different order. What is the other digit?

a)7
b)4
c)3
d)None of these

Ans 4
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32) A man sells an article at a profit of 25%. If he had bought it at 20 % less and sold it for Rs.10.50 less, he would have gained 30%. Find the cost price of the article?

a)Rs.50
b)Rs.49.50
c)Rs.50.50
d)Rs.51

Ans Rs.50.















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