Monday, June 9, 2008

TCS placement paper 20

DIRECTIONS

1)A Flight takes off at 2 A.M from northeast direction and travels for 11 hours to reach the destination which is in north west direction. Given the latitude and longitude of source and destination. Find the local time of destination when the flight reaches there? 7 AM or 1.00 PM
2) My flight takes of at 2am from a place at 18N 10E and landed 10 Hrs later at a place with coordinates 36N70W. What is the local time when my plane landed.
a) 6:00 am b) 6:40am c)7:40 d)7:00 e)8:00 (Hint : Every 1 deg longitude is equal to 4 minutes . If west to east add time else subtract time) Ans 8:00
3)A moves 3 kms east from his starting point . He then travels 5 kms north. From that point he moves 8 kms to the east.How far is A from his starting point?Ans. 13 kms
4)Aeroplane is flying at a particular angle and latitude,after some time another latitude is given..(8 hrs later), u r asked to find the local time of the place.
5)AN AEROPLANE STARTS FROM A (SOME LATITUDE IS GIVEN ACCORDING TO PLACE)AT 2 AM LOCAL TIME TO B(SOME LATITUDE). TRAVELLLING TIME IS 10 HOURS. WHAT IS THE LOCAL TIME OF B WHEN IT REACHES B
6)A plane moves from 9°N40°E to 9°N40°W. If the plane starts at 10 am and takes 8 hours to reach the destination, find the local arrival time.
7) A FILE IS TRANSFERRED FROM A PLACE TO ADESTINATION CAPABLE OF 10 KB . THEY GIVEN SOME RATE OF TRANSFER. U HAVE FIND A EQUATION THAT BEST SUIT THIS.

FROG

1)In a well of 20feet depth, a frog jumps 5feet up in the morning and comes 4feet down in the evening,on which day the frog gets out of the well.

GAMES

1) in some game 139 members have participated every time one fellow will get bye what is the number of matches to choose the champion to be held?ans: 138
2)A & B are playing a game .There are 8 oranges in a row on the table.one Player can take 1-4 oranges in a pick (a maximum of 4),one who picks the last orange wins the game.'A' plays first How many oranges should he pick first time inorder to win the game.
answer 3.
LCM

1) LCM of x and y is 36 and HCF of x and y is 4. If x = 4 then which of the following is definitely not true?
a)Y is divisible by 3 b)Y is divisible by 6 c)Y is divisible by 9 d)X+Y is divisible by
LOGARITHMS
1) log .342==..., log . 343==.... then log .341==????? etc...
2)value of log3.142& log3.143 was given and log3,141 was asked so you have to only see on answer and mark
3)If log 0.317=……… and log 0.318=………. Then find the value of log 0.319.

MATCH

1)Match the following:
1. Male - Boy ---> a. A type of
2. Square - Polygon ---> b. A part of
3. Roof - Building ---> c. Not a type of
4. Mushroom - Vegetables ---> d. A superset of
Ans: 1- d, 2- a, 3- b, 4- c
2)Match the following.
1. brother - sister ---> a. Part of
2. Alsatian - dog ---> b. Sibling
3. sentence - paragraph ---> c. Type of
4. car - steering ---> d. Not a type of
Ans. 1-b, 2-c, 3-a, 4-d
3)SCOOTER --------- AUTOMOBILE A. A PART OF
2.OXYGEN----------- WATER B. A Type of
3.SHOP STAFF------- FITTERS C. NOT A TYPE OF
4. BUG -------------REPTILE D. A SUPERSET OF
4)MATCH THE FOLLOWING
A B
1. SENTENCE, PARAGRAPH 1. TYPE OF
2. BASMATI, WHEAT 2. A PART OF
3. BROTHER, SISTER 3. NOT A TYPE OF
4. BREIGAL, DOG 4. SIBLING
ANS: 1-> 2 2->1 3->3 4->4

MATHEMATICAL SYMBOLS

1) Given $ means Tripling and % means change of sign then find the value of $%$6-%$%6 ANS : -72
2)5-&%&5 Ans-30 (Check)
3) WHAT IS THE VALUE OF % # % (5) + # % # (2) WHERE % - DOUBLING #- RECIPROCAL
4)Find the value of @@+25-++@16, where @ denotes "square" and + denotes "square root". Ans: 621 or 121

MATRIX

1)Find the singularity matrix from a given set of matrices?(Hint det(A)====0)

MEMORY

1)If the vertex (5,7) is placed in the memory. First vertex (1,1) 's address is 1245 and then address of (5,7) is ----------1279
2)A 2D array is declared as A[9,7] and each element requires 2 byte. If A[ 1,1 ] is stored in 3000. Find the memory of A[8,5] ? 3106
3)one circular array is given (means the memory allocation takes place like a circular fashion )dimension (9X7) .starting address is 3000.find the address of (2,3)..555
4)Some has got the qs. As memory allocation takes place coloumnwise.u have to find out the address.
5)The size of a program is N. And the memory occupied by the program is given by M = square root of 100N. If the size of the program is increased by 1% then how much memory now occupied? Ans 0. 5%( SQRT 101N)
6)In a two-dimensional array, X (9, 7), with each element occupying 4 bytes of memory, with the address of the first element X (1, 1) is 3000, find the address of X (8, 5). Ans 3212

MIXTURE

1)16 litre can, 7 litre can,3 litre can,the customer has to be given 11 litres of milk using all the three cans only explain?

NUMBER SYSTEM


1) The number 362 in decimal system is given by (1362)x in the X system of numbers find the value of X a}5 b) 6 c) 7 d) 8 e) 9
2) Decimal no 319 is equal to 1234.This 1234 belongs to which Number systems
3)194 base 10 = ____ base 5 (1234)
4) In which of the system, decimal number 194 is equal to 1234? ANS:5
5) Convert the decimal number 310 to the base 6. Ans: 1234
6) Find the value of the decimal number to the base 7. Ans. 1436.
7) In which of the system, decimal number 384 is equal to 1234?
8) In which of the system, decimal number 184 is equal to 1234? Ans 5
9) Find the value of the 678 to the base 7. ans 1656
10)The base 5 representation of the decimal number 2048 is _____.

ODD MAN OUT

1) LINUX, WINDOWS 98, SOLARIS, SMTP (ANS: SMTP)
2)MVS
3).JAVA b) LISP c) Smaltalk d)Eiffle Ans: LISP ( All other languages are OOPS)
4)1.http 2.arp 3.snmp 4.sap Ans-sap
5)1.linux 2.windows NT 3.sql server 4.Unix Ans-Sql server
6)1.SAP 2.ARP 3.WAP 4.TCP IP
7)a. Oracle b. Linux c. Ingress d. DB2
8)a. SMTP b. WAP c. SAP d. ARP Ans:SAP
9)a. WAP b. HTTP c. BAAN d. ARP Ans:Baan
10)a. LINUX b. UNIX c. SOLARIS d. SQL SERVER Ans:SQL SERVER
11)a. SQL b. DB2 c. SYBASE d. HTTP Ans: HTTP
12)a. Oracle b. Linux c. Ingress d. DB2 ANS:LINUX

ORTHOGONAL PAIRS

1)Which of the following are orthogonal pairs? a. 3i+2j b. i+j c. 2i-3j d. -7i+j ans a,c
2) (a) 2+3i (b)1+i (c) 3-2i (d) 1-7i .Find which of the above is orthogonal. Ans a,c
3)Sum of slopes of 2 perpendicular st. lines is given. Find the pair of lines from the given set of options which satisfy the above condition?

PARTNERSHIP

1) If Rs.1260 is divided between between A, B and C in the ratio 2:3:4, what is C's share?Ans. Rs. 560
2) A sum of money is divided among A, B and C such that for each rupee A gets, B gets 65paise and C gets 35paise. If C's share is Rs.560, the sum is …
a)2400 b)2800 c)3200 d)3800

PERCENTAGE

1) What percent of 60 is 12?Ans. 20%
2) A report consists of 20 sheets each of 55 lines and each such line consists of 65 characters. This report is retyped into sheets each of 65 lines such that each line consists of 70 characters. The % reduction in the number of sheets is closest to
a)20 b)5 c)30 d)35
3) Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?
a)37.5% b)62.5% c)50% d)None of these
PERMUTATIONS

1)How many 3 digits with 3 Distinct digits are there from 100-1000.

POWER OF

1)What is the power of 2? a. 2068 b.2048 c.2668 Ans:2048
2) 8 to the power of x is 32,what is the value of x?
3)Which is a/not a power of 2 or 3.
4)Power of 4 Ans-4096
5)WHICH ONE WILL BE THE EXACT POWER OF 3
(i) 2768 (ii)2678 (III) 2187

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 (NOT SURE)
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?

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
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(6.8) –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(5.8) 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 ¾ + 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)¼
18) When ¾ of a unit's digit is added to the ten's digit of a two number, the sum of the digits becomes 10. If ¼ 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=18) (1*8=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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