### TCS Placement Paper Pattern 2007 (Online Test, Technical, HR)

PRIME NUMBERS:

1)Find the highest prime number that can be stored in an 8bit computer.

2)What is the max possible 3 digit prime number?

Ans 997

3)Largest prime no. in a 6 bit,8 bit

(Ans 127),9 bit microprocessor

4)WHAT IS THE LARGEST PRIME NO THAT IS STORED IN 8 BIT PATTERN

ANS: 253

5)What is the largest prime number that can be stored in an 8-bit memory?

251 or 127

6)Which is the largest prime number that can be stored in a 9-bit register?

509

PROBABILITY:

1) In a company 30% are supervisors and 40% employees are male if 60% of supervisors are male. what is the probability that a randomly choosen employee is a male or female?

2) 12 Blacksox and 12 Whitesox mixed in a box,a pair of sox is picked at a time,in which pick/how many pick, to get the right pair(black & black or white & white)?

3)Two coins one with HEAD IN BOTH SIDES and the other coin HEAD IN ONE SIDE AND TAIL IN THE OTHER SIDE is in a box, a coin is taken at random and FOUND HEAD IN ONE SIDE .what is the probability that THE OTHER SIDE IS HEAD?

4) There are 5 distinct pairs of white socks and 5 pairs of black socks in a cupboard. In the dark, how many socks do I have to pull out to ensure that I have at least 1 correct pair of white socks?

a) 3

b) 11

c) 12

d) 16

PROBLEMS ON NUMBERS:

1) What number should be added to or subtracted from each term of the ratio 17 : 24 so that it becomes equal to 1 : 2.

Ans. 10 should be subtracted

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2)The sum of the digits of a two digit number is 8. When 18 is added to the number, the digits are reversed. Find the number?

Ans. 35

3)In a fraction, if 1 is added to both the numerator at the denominator, the fraction becomes 1/2. If numerator is subtracted from the denominator, the fraction becomes 3/4. Find the fraction.

Ans. 3/7

4) WHAT IS THE NUMBER OF ZEROS AT THE END OF THE PRODUCT OF THE NUMBERS FROM 1 TO 100

5) 9/10 or 10/11 which is greater.

6) (x-y/3)-(y-x/3)=?

7) x:y=3 and x+y=80 what is the value of y?

Answer y=20

8) M(893,10)+r( )+t( ) is asked

9) n=68 x 12 x 51 Which of the follg is not an integer

Ans- n/122

10) M(373, 7) + R(6. -T(3.4) + R( 3.4)

11) SOME RELATION THAT IS DEDUCE TO

A (POW 2) DIRECT PROPORTIONAL TO X (POW 3)

B (POW 2) DIRECT PROPORTIONAL TO Y (POW 3)

SOME FOUR ANSWERS WERE GIVEN

ANS: ALL OF THE ABOVE

12)WHICH IS THE PERFECT ONE AMONG THE 4

1. 2x +3y=4

2. x + y= -1

3. Y=2x+ 3

13)A salesperson multiplied a number and get the answer 3, instead of that number devided by 3. what is the answer he actually has to get?

1 x 3 = 3 so number = 1 divided by 3, the ans. is 1/3.

14)M(373,5)+R(3.4)+T(7.7)+R(5.

Ans. 19

15) If the numerator of a fraction is increased by 25% and denominator decreased by 20%, the new value is 5/4. What is the original value?

a) 3/5

b) 4/5

c) 7/8

d) 3/7

16)The value of ? + 5 / 36 + 7 / 144 + .....+17 / 5184 + 19 / 8100 is

a) 0.99

b) 0.98

c) 0.95

d) None of these

17) A student's grade in a course is determined by 6 quizzes and one examination. If the examination counts thrice as much as each of the quizzes, what fraction of final grade is determined by the examination?

a) 1/6

b) 1/5

c) 1/3

d) ?

18) When ? of a unit's digit is added to the ten's digit of a two number, the sum of the digits becomes 10. If ? of the ten's digit added to the unit's digit, then the sum of the digits is 1 less than the previous. Find the number.

a) 94

b) 84

c) 48

d) 88

19) A person had to multiply two numbers. Instead of multiplying by 35, he multiplied by 53and the product went up by 540. What was the raised product?

a)780

b)1040

c)1590

d)1720

RECTANGULAR:

1) Which is not a side of a rectangular

1. (2,3,4)

2. (3,4,7)

3. (3,5,9)

2) One rectangular plate with length 8inches,breadth 11 inches and 2 inches thickness is there. what is the length of the circular rod with diameter 8 inches and equal to volume of rectangular plate?

ANS: 3.5INCHES

3) If the length of a rectangle is increased by 30% and the width is decreased by 20%, then the area is increased by...

(a) 10%

(b) 5%

(c) 4%

(d) 20%

(e) 25%

4) The length of a rectangle is increased by 60%. By what % would the width have to be decreased to maintain the same area?

a) 30%

b) 60%

c) 75%

d) 37.5%

RECURSION:

1)G(0)= -1, G(1)=1, G(N)=G(N-1) - G(N-2), G(5)= ?

ans - 2

2)G (0) =1 G (1)= -1 IF G (N)=2* (G (N-1))- 3(G (N-2)) THEN WHAT IS THE VALUE OF G (4)?

3)If f(0)=1 and f(n)= f(n-1)*n, find the value of f(4).

Ans: 24

4)If g(0)=g (1)=1 and g (n)= g (n-1) + g (n -2) find g (6);

SERIES:

1)Complete the series. 3, 8, --, 24, --, 48, 63 .

ans 15, 35

2)Complete the series. 4, -5, 11, -14, 22, ---

Ans - 27

3) SERIES: 2,7,24,77,? (238) or (240)

4)77,49,36,18,?

Answer 8 (7*7=49)(4*9=36)(3*6=1 (1*8=

5)series: 5 6 7 8 10 11 14 ?

Ans.15 or 18

6)15 14 12 11 ? 9 8

Ans.10

7)What is the 12th term of the series 2, 5, 8, ....

Ans. 35

8)58,27,12,x,2,1. Find x.

9)7,9,13,_,27,37.

Ans-19

10)2, 5, __ , 19, 37, 75

Ans: 9

11)Complete the sequence 9,10,11,13,15, __, 21,28.

SET:

1)A, B and C are 8 bit nos. They are as follows:

A 1 1 0 1 1 0 1 1

B 0 1 1 1 1 0 1 0

C 0 1 1 0 1 1 0 1

Find ( (A-B) u C )=?

Hint : 109 A-B is {A} - {A n B}

ANS: 0 1 1 1 1 1 1 1 (DB)

2)If A, B and C are the mechanisms used separately to reduce the wastage of fuel by 30%, 20% and 10%. What will be the fuel economy if they were used combined.

Ans 20%

3) | A | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 10010001

| B | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 01101010

| C | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 10010110

(AuB)nC = ? [ (A union B) intersection C = ?]

4) A 0 0 0 0 1 1 1 1

B 0 0 1 1 0 0 1 1

C 0 1 0 1 0 1 0 1

( A U B ) P C Find the fourth row, having the bit pattern as an integer in an 8-bit computer, and express the answer in its decimal value.

Ans. 29

5) In the class of 40 students, 30 speak Hindi and 20 speak English. What is the lowest possible number of students who speak both the languages?

(a) 5

(b) 20

(c) 15

(d) 10

(e) 30

6)You will be given the bit position values for A, B and C and using the relation (A?B) u C you have to construct the truth table. Then find the corresponding decimal number and choose the right option.

7)If A=(110010) in base 2 & B=(101011) in base 2, then what is the decimal value of (AB)C

SHADOW:

1)A building with height D shadow upto G. A neighbour building with what height shadows C feet.

|----|----|----|----|----|----|----|

A B C D E F G H

Sol: B Ft. or CD/G

SOLUTIONS:

1) How many positive integer solutions does the equation 2x+3y = 100 have?

a)50

b)33

c)16

d)35

STANDARD DEVIATION:

1)Which of the following set of numbers has the highest Standard deviation?

a)1,0,1,0,1,0

b)-1,-1,-1,-1,-1,-1

c)1,1,1,1,1,1

d)1,1,0,-1,0,-1

2)WHICH WILL GIVE GOOD STANDARD DEVIATION

1. (7,0,-7,0,7)

2. (7,-7,7,-7,7)

3. (1,0,-1,0,1)

TANK:

1)with 4/5 full tank vehicle travels 12 miles, with 1/3 full tank how much distance travels ( 5 miles )

2)A car travels 12 kms with a 4/5th filled tank.How far will the car travel with 1/3 filled tank?

Ans. 5 kms

TEMPERATURE:

1)In Madras, temperature at noon varies according to -t^2/2 + 8t + 3, where t is elapsed time. Find how much temperature more or less in 4pm to 9pm. (May be we can solve it by Definite Integration. Check any way)

Ans. At 9pm 7.5 more or 385.8(DB)

2)for temperature a function is given according to time : ((t**2)/6) + 4t +12 what is the temperature rise or fall between 4.am to 9 am

2)For temperature a function is given according to time : ((t**2)/6) + 4t +12 what is the temperature rise or fall between 5 pm to 8 pm

3)Low temperature at the night in a city is 1/3 more than 1/2 high as higher temperature in a day. Sum of the low tem. and highest temp. is 100 degrees. Then what is the low temp?

(40 deg.)

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