Tcs Apti paper

Sarath Annamraju : Tcs questions I remembered... 

1)

A drinks machine offers three solutions “ Tea, Coffee or Random but the machine has been wired up wrongly so that each button does not give what it claims. If each drink costs Rs. 50, what is the minimum amount of money that must be spent to determine with certanity the correct labeling of the buttons?

Options

a)Rs. 100

b)Can not be determined from the given information

c)Rs 150

d)Rs 50

My ans : d)Rs 50

2)

G and m can paint 720 box in 20 days,m and h in 24 days and h andg in 15 days.g works for 4 days,m for 8 days,h for 8 days.find total no of boxes painted by them?

My ans : 348 boxes

3)

An equilateral triangle and a regular hexagon have equal parameters then what is the ration of their areas?

A) 6:1 b) 1:6 c) 3:2 d) 2:3

My ans : b)1:6

4)

A& B completed a work together in 5 days. A worked at twice the speed and B at half the speed it would have taken then 4 days to complete the job. How much time would it take for A alone to do the work 

a) 25 b) 10 c) 20 d) 15

My ans : b)10

5)

There is a circle with 2 triangles inscribed in it. in opposite direction making a star. The triangle is equilateral of side 12. u have to tell the area of the remaining portion of the circle

My ans : 68

6)

You are given 87 matchsticks. They are arranged in rectangular manner.Find the number oftriangles formed?

My ans : 43 

7)

man sold 12 candies in 10$ had loss of a% then again sold 12 candies at 12$ had profit of a% find the value of a ?

My ans : 100/11

8)

Sum of three digit number is 17. sum of squared of digits of the given num is 109. If we subtract 495 from that num we will get a number written in square order. find the num.

My ans : 863

9)

At the end of 1994 Rohit was half as old as his grandmother. The sum of the years in which they were born is 3844. How old Rohit was at the end of 1999?

(a) 48

(b) 55

(c)49

(d) 53

My ans : d)53

10)

In a office, at various times during the day the boss gives the secretary a letter to type, each time putting the letter on the top of the pile in the secretary’s inbox. When there is time, the secretary takes the top letter off the pile and type’s it. If there are five letter in all , and the boss delivers in the order of 1 2 3 4 5, which of the following could NOT be the order in which secretary types them.

(a) 2 4 3 5 1

(b) 4 5 2 3 1

(c) 3 2 4 1 5

(d) 1 2 3 4 5

(This is star mark qst)

My ans : b)4 5 2 3 1

11)

For which of the following “n” is the number 2^74 + 2^2058 + 2^2n a perfect square?

(a) 2012

(b) 2100

(c) 2011

(d) 2010

Ans : 2020

This is star mark question which is a Dummy bit

12)

2 workers ,one old and one young,live together and work at the same office.the old man takes 30 mins where as the young man takes only 20 mins to reach the office.when will the young man catch up the old man ,if the old man starts at 10.00am and the young man starts at 10.05am? 

My ans : 10:15 am

13)

How many team we can making group of 11 there are 11 women and 5 men and at most there are 3 men should be in team ?

My ans : 2256

14)

vol given 6*5*2 height constant vol decrease by 19% so what is new breadth if l,b decrease in equal 

percentages.

My ans : 4.5

15)

A and B working separately can do a piece of work in 7 and 9 days respectively.Together they can do it how many days (choose nearest value) ? 

a)4 b)3 c)5 d)6

My ans : a) 4

16)

There are 250 men and 150 women in a committee, if all will work they will complete 12 units per day, if all men work they will complete 15 units per day, how many units will women complete per day?

My ans : 7 units

17)

george completed 3/5th of work in 9 days with the help of paul he completes remaining work in 4 days.In how many days paul alone can finish the work ?

My ans : 30 days 

18)

A survey of n people in the town of badaville found that 50% of them prefer brand A.anaother survey of a 100 people in the town of chottaville found that 60% prefer brand A.In total 55% of all the people surveyed together prefer Brand A.What is the total number of people surveyed?

My ans : 200

19)
Of set of 30 nos,average of 1st 10 nos=avg of last 20 nos.the sum of last 20 nos is

a)sum of 1st ten nos

b)cant be determined

c)2*sum of first ten numbers

d)2*sum of last ten nos

My ans : c

20)
If Suraj’s sum of the salaries of 2003, 2004, 2005 is $36400 and the salary gets incremented 20% every year then find the salary drawn by Suraj in the year 2005?

a)10000

b)12000

c)24000

d)8000

(Dummy bit)

ans : 14400

Read More

Tcs paper in 2013

Read More

Tcs Question For 2013 passout

1) What are the total number of divisors of 600(including 1 and 600)?
a. 24                       b. 40                      c. 16                       d. 20

2) What is the sum of the squares of the first 20 natural numbers (1 to 20)?
a. 2870                  b. 2000                  c. 5650                  d. 44100

3) A call center agent has a list of 305 phone numbers of people in alphabetic order of names (but she does not have any of the names). She needs to quickly contact Deepak Sharma to convey a message to him. If each call takes 2 minutes to complete, and every call is answered, what is the minimum amount of time in which she can guarantee to deliver the message to Mr Sharma.
a. 18 minutes     b. 610 minutes  c. 206 minutesd. 34 minutes

4) The times taken by a phone operator to complete a call are 2,9,3,1,5 minutes respectively. What is the average time per call ?

a. 4 minutes       b. 7 minutes       c. 1 minutes        d. 5 minutes

5) The times taken by a phone operator to complete a call are 2,9,3,1,5 minutes respectively. What is the median time per call?

a. 5 minutes       b. 3 minutes       c. 1 minutes        d. 4 minutes

6) Eric throws two dice, and his score is the sum of the values shown. Sandra throws one die, and her score is the square of the value shown. What is the probability that Sandra’s score will be strictly higher than Eric’s score?

a. 137/216           b. 17/36                c. 173/216            d. 5/6

7) What is the largest integer that divides all three numbers 23400,272304,205248 without leaving a remainder?

a. 48                       b. 24                      c. 96                       d. 72

8) Of the 38 people in my office, 10 like to drink chocolate, 15 are cricket fans, and 20 neither like chocolate nor like cricket. How many people like both cricket and chocolate?

a. 7                         b. 10                      c. 15                       d. 18

9) If f(x) = 2x+2 what is f(f(3))?

a. 18                       b. 8                         c. 64                       d. 16

10) If f(x) = 7 x +12, what is f-1(x) (the inverse function)?

a. (x-12)/7           b. 7x+12               c. 1/(7x+12)        d. No inverse exists

11) A permutation is often represented by the cycles it has. For example, if we permute the numbers in the natural order to 2 3 1 5 4, this is represented as (1 3 2) (5 4). In this the (132) says that the first number has gone to the position 3, the third number has gone to the position 2, and the second number has gone to position 1, and (5 4) means that the fifth number has gone to position 4 and the fourth number has gone to position 5. The numbers with brackets are to be read cyclically. If a number has not changed position, it is kept as a single cycle. Thus 5 2 1 3 4 is represented as (1345)(2).We may apply permutations on itself If we apply the permutation (132)(54) once, we get 2 3 1 5 4. If we apply it again, we get 3 1 2 4 5 , or (1 2 3)(4) (5)
If we consider the permutation of 7 numbers (1457)(263), what is its order(how many times must it be applied before the numbers appear in their original order)?

a. 12                       b. 7                         c. 7!                        d. 14

12. What is the maximum value of x3y3 + 3 x*y when x+y = 8?

a. 4144                  b. 256                    c. 8192                  d. 102

13) Two circles of radii 5 cm and 3 cm touch each other at A and also touch a line at B and C. The distance BC in cms is?

a. √60                    b. √62                    c. √68                    d. √64

14) In Goa beach, there are three small picnic tables. Tables 1 and 2 each seat three people. Table 3 seats only one person, since two of its seats are broken. Akash, Babu, Chitra, David, Eesha, Farooq, and Govind all sit at seats at these picnic tables. Who sits with whom and at which table are determined by the following constraints:
a. Chitra does not sit at the same table as Govind.
b. Eesha does not sit at the same table as David.
c. Farooq does not sit at the same table as Chitra.d. Akash does not sit at the same table as Babu.
e. Govind does not sit at the same table as Farooq.
Which of the following is a list of people who could sit together at table 2?

a. Govind, Eesha, Akash                             b. Babu, Farooq, Chitra
c. Chitra, Govind, David.                              d. Farooq, David, Eesha.

15) There are a number of chocolates in a bag. If they were to be equally divided among 14 children, there are 10 chocolates left. If they were to be equally divided among 15 children, there are 8 chocolates left. Obviously, this can be satisfied if any multiple of 210 chocolates are added to the bag. What is the remainder when the minimum feasible number of chocolates in the bag is divided by 9?

a. 2                         b. 5                         c. 4                         d. 6

16) Let f(m,n) =45*m + 36*n, where m and n are integers (positive or negative) What is the minimum positive value for f(m,n) for all values of m,n (this may be achieved for various values of m and n)?

a. 9                         b. 6                         c. 5                         d. 18

17) What is the largest number that will divide 90207, 232585 and 127986 without leaving a remainder?

a. 257                    b. 905                    c. 351                     d. 498

18) We have an equal arms two pan balance and need to weigh objects with integral weights in the range 1 to 40 kilo grams. We have a set of standard weights and can place the weights in any pan. . (i.e) some weights can be in a pan with objects and some weights can be in the other pan. The minimum number of standard weights required is:

a. 4                         b. 10                      c. 5                         d. 6

19) A white cube(with six faces) is painted red on two different faces. How many different ways can this be done (two paintings are considered same if on a suitable rotation of the cube one painting can be carried to the other)?

a. 2                         b. 15                      c. 4                         d. 30

20) How many divisors (including 1, but excluding 1000) are there for the number 1000?

a. 15                       b. 16                      c. 31                       d. 10

21) In the polynomial f(x) =2*x^4 - 49*x^2 +54, what is the product of the roots, and what is the sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n times)?

a. 27,0                   b. 54,2                   c. 49/2,54             d. 49,27

22) In the polynomial f(x) = x^5 + a*x^3 + b*x^4 +c*x + d, all coefficients a, b, c, d are integers.If 3 + sqrt(7) is a root, which of the following must be also a root? Note that x^n denotes the x raised to the power n, or x multiplied by itself n times. Also sqrt(u) denotes the square root of u, or the number which when multiplied by itself, gives the number u ?

a. 3-sqrt(7)          b. 3+sqrt(21)      c. 5                    d. sqrt(7) + sqrt(3)

23) If 3y+x>2 and x+2y<3 about="" be="" can="" of="" said="" span="" the="" value="" what="" y="">

a. y = -1                b. y > -1                c. y < -1                 d. y =1

24) If m is an odd integer and n is an even integer then which of the following is definitely odd?

a. (2m+n)(m-n)                 b. (m+n^2)+(m-n^2)      c. m^2 +mn+n^2         d. m+n

25) if the price of an item is decreased by 10% and then increased by 10% the net effect on the price of the item is :

a)a decrease of 99%    b)no change           c)a decrease of 1%     d)an increase of 1%

26) what is the sum of all even integers between 99 and 301?

a)40000                b)20000                c)40200                 d)20200

27) there are 20 balls which are red,blue,or green.If 7 balls are green and the sum of red balls and green balls is less than 13, at most how may red balls are ?

a)5                          b)6                         c)7                          d)4

28) If n is the sum of two consecutive odd integers and less than 100, what is the greatest possibility of n?


a)98                       b)94                       c)96                        d)99


29) If x^2 < 1/100 and x< 0 What is the tightest range in which x can lie?


a)-1/10 < x < 0   b)-1 < x < 0          c)-1/10 < x < 1/10             d)-1/10

30) There are 4 boxes colored red, yellow ,green and blue. if 2 boxes are selected,how many combinations are there for at least one green box or one red box to be selected?

a)1                          b)6                         c)9                          d)5


31) All faces of a cube with an 8-meter edge are painted red. If the cube is cur into smaller cubes with a two-meter edge, how many of the two-meter cubes have paint on exactly one face?

a)24                       b)36                       c)60                        d)48

32) In a sequence of integers , A(n)=A(n-1)-A(n-2), where A(n) is the n'th term in the sequence, n is an integer and n>=3,A(1)=1,A(2)=1. Calculate S(1000), where S(1000)is the sum of the first 1000 terms

a)0                          b)2                         c)-1                        d)1

33) If x^2-16>0, which of the following must be true?

a)-4c)-4>x>4              d)-4>x<4 span="">

Read More