# (Paper) : 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

http://www.TowardsJob.com

**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.)