TCS Aptitude Practice 5
TCS Aptitude Test 5
This is the Fifth Test in the series "Practice TCS Aptitude Test".
Please remember that you have to make exam environment by yourself.
You can take the test as many times as you wish.
You may expect lots of questions from this Test with different data in your real Aptitude Test. :)
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Question 1 
In the adjoining diagram, ABCD and EFGH are squres of side 1 unit such that they intersect in a square of diagonal length (CE) = 1/2. The total area covered by the squares is
A  Cannot be found from the information 
B  1 1/2 
C  1 7/8 
D  None of these 
Question 2 
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 many red balls are there?
A  4 
B  5 
C  6 
D  7 
Question 3 
If P(x) = ${\rm{a}}{{\rm{x}}^{\rm{4}}}{\rm{ + b}}{{\rm{x}}^{\rm{3}}}{\rm{ + c}}{{\rm{x}}^{\rm{2}}}{\rm{ + dx + e}}$ has roots at x = 1, 2, 3, 4 and P(0) = 48, what is P(5)
A  48 
B  24 
C  0 
D  50 
Question 4 
What is the sum of all even integers between 99 and 301?
A  40000 
B  20000 
C  40400 
D  20200 
Question 5 
In how many ways can we distribute 10 identical looking pencils to 4 students so that each student gets at least one pencil?
A  5040 
B  210 
C  84 
D  None of these 
Question 6 
In a rectanglular coordinate system, what is the area of a triangle whose vertices whose vertices have the coordinates (4,0), (6, 3) adn (6 , 3)
A  6 
B  7 
C  7.5 
D  6.5 
Question 7 
In base 7, a number is written only using the digits 0, 1, 2, .....6. The number 135 in base 7 is 1 x ${{7^2}}$ + 3 x 7 + 5 = 75 in base 10. What is the sum of the base 7 numbers 1234 and 6543 in base 7.
A  11101 
B  11110 
C  10111 
D  11011 
Question 8 
If 3y + x > 2 and x + 2y$ \le $3, What can be said about the value of y?
A  y = 1 
B  y >1 
C  y <1 
D  y = 1 
Question 9 
N is an integer and N>2, at most how many integers among N + 2, N + 3, N + 4, N + 5, N + 6, and N + 7 are prime integers?
A  1 
B  3 
C  2 
D  4 
Question 10 
A turtle is crossing a field. What is the total distance (in meters) passed by turtle? Consider the following two statements
(X) The average speed of the turtle is 2 meters per minute
(Y) Had the turtle walked 1 meter per minute faster than his average speed it would have finished 40 minutes earlier
A  Statement X alone is enough to get the answer 
B  Both statements X and Y are needed to get the answer 
C  Statement Y alone is enough to get the answer 
D  Data inadequate 
Question 11 
A drawer holds 4 red hats and 4 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 4 hats randomly out of the drawer and immediately returning every hat to the drawer before taking out the next?
A  1/2 
B  1/8 
C  1/4 
D  3/8 
Question 12 
Roy is now 4 years older than Erik and half of that amount older than Iris. If in 2 years, roy will be twice as old as Erik, then in 2 years what would be Roy's age multiplied by Iris's age?
A  28 
B  48 
C  50 
D  52 
Question 13 
Two cyclists begin training on an oval racecourse at the same time. The professional cyclist completes each lap in 4 minutes; the novice takes 6 minutes to complete each lap. How many minutes after the start will both cyclists pass at exactly the same spot where they began to cycle?
A  10 
B  8 
C  14 
D  12 
Question 14 
The sequence ${\rm{\{ }}{{\rm{A}}_{\rm{n}}}{\rm{\} }}$ is defined by ${{\rm{A}}_1}$ = 2 and ${{\rm{A}}_{{\rm{n + 1}}}}{\rm{ = }}{{\rm{A}}_{\rm{n}}}{\rm{ + 2n}}$ what is the value of ${{\rm{A}}_{100}}$
A  9902 
B  9900 
C  10100 
D  9904 
Question 15 
All faces of a cube with an eight  meter edge are painted red. If the cube is cut 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 
Question 16 
What is the remainder when ${{\rm{6}}^{{\rm{17}}}}{\rm{ + 1}}{{\rm{17}}^{\rm{6}}}$ is divided by 7?
A  1 
B  6 
C  0 
D  3 
Question 17 
If m is an odd integer and n an even integer, which of the following is definitely odd?
A  (2m+n)(mn)

B  $(m + {n^2}) + (m  {n^2})$ 
C  ${m^2} + mn + {n^2}$ 
D  m +n 
Question 18 
M, N, O and P are all different individuals; M is the daughter of N; N is the son of O; O is the father of P; Among the following statements, which one is true?
A  M is the daughter of P

B  If C is the granddaughter of O, then C and M are sisters 
C  If C is the granddaughter of O, then C and M are sisters 
D  P and N are bothers. 
Question 19 
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% 
Question 20 
A father purchases dress for his three daughter. The dresses are of same color but of different size .the dress is kept in dark room .What is the probability that all the three will not choose their own dress.
A  2/3 
B  1/3 
C  1/6 
D  1/9 
Question 21 
A, B, C and D go for a picnic. When A stands on a weighing machine, B also climbs on, and the weight shown was 132 kg. When B stands, C also climbs on, and the machine shows 130 kg. Similarly the weight of C and D is found as 102 kg and that of B and D is 116 kg. What is D's weight
A  58kg 
B  78 kg 
C  44 kg 
D  None 
Question 22 
If n is the sum of two consecutive odd integers and less than 100, what is greatest possibility of n?
A  98 
B  94 
C  96 
D  99 
Question 23 
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 
Question 24 
Given the following information, who is youngest?
C is younger than A; A is talled than B
C is older than B; C is younger than D
B is taller than C; A is older than D
A  D 
B  B 
C  C 
D  A 
Question 25 
${x^2}$ < 1/100, and x < 0 what is the highest range in which x can lie?
A  1/10 < x < 0 
B  1 < x < 0 
C  1/10 < x < 1/10 
D  1/10 < x 
Question 26 
X, Y, X and W are integers. The expression X  Y  Z is even and the expression Y  Z  W is odd. If X is even what must be true?
A  W must be odd 
B  Y  Z must be odd 
C  W must be odd 
D  Z must be odd 
Question 27 
A  864

B  3276 
C  1638 
D  None 
Question 28 
Tim and Elan are 90 km from each other.they start to move each other simultanously tim at speed 10 and elan 5 kmph. If every hour they double their speed what is the distance that Tim will pass until he meet Elan
A  45

B  60 
C  20 
D  80 
Question 29 
The prime factorization of intezer N is A x A x B x C, where A, B and C are all distinct prine intezers. How many factors does N have?
A  12 
B  24 
C  4 
D  6 
Question 30 
There are 10 stepping stones numbered 1 to 10 as shown at the side. A fly jumps from the first stone as follows; Every minute it jumps to the 4th stone from where it started  that is from 1st it would go to 5th and from 5th it would go to 9th and from 9th it would go to 3rd etc. Where would the fly be at the 60th minute if it starts at 1?
A  1 
B  5 
C  4 
D  9 
Question 31 
Mr and Mrs Smith have invited 9 of their friends and their spouses for a party at the Waikiki Beach resort. They stand for a group photograph. If Mr Smith never stands next to Mrs Smith (as he says they are always together otherwise). How many ways the group can be arranged in a row for the photograph?
A  20! 
B  19! + 18! 
C  18 x 19! 
D  2 x 19! 
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