TCS
New Pattern Sample Question Paper 2012 (Open Sesame)
1. If 3y+x>2 & x+2y<=3, what can be
said about the value of y?
-1
>-1 <-1 1
1. If m is an odd integer and n an even integer,
which of the following is definitely odd?
(2m+n)(m-n)
(m+n^2)+(m-n^2)
m^2+mn+n^2
m+n
1. 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 decrease of 99% No Change A
decrease of 1% An increase of 1%
1. What is the sum of all even integers between
99 & 301?
40000
20000
40400 20200
1. 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?
4
5
6 7
1. If n is the sum of two consecutively odd
integers and less than 100, what is the greatest possibility of n?
98
94 96
99
1. X^2<1/100 and x<0; What is the tightest
range in which x can lie?
-1/10<x<0 -1<x<0
-1/10<x<1/10
-1/10<x
1. 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?
1
6
9 5
1. 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?
24 36
60 48
1. In a sequence of integers, A(n)=A(n-1)-A(n-2),
where A(n) is the nth 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.
2
3
4 0
1. If x^2-16>0, which of the following must be
true?
-4>x>4
-4>x<4
-4<x<4 4<x
1. Two cyclists begin training on an oval
racecourse at the same time. The professional cyclist completes each lap in 4
minutes; the novice takes 5 minutes to complete each lap.How many minutes after
the start will both cyclists pass at the same spot where they began to cycle?
10
8
14 12
1. M,N,O and P are all different individuals; M
is the daughter of N; N is the son of ); O is the father of P;
Among the following statements, which one is true?
M is the daughter of P
If B is the daughter of N, then M & B are sisters
If C is the granddaughter of O, then C & M are sisters
P & N are brothers
1. In the adjoining diagram, ABCD and EFGH are
squares 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
Cannot be found 3/2
or1½
2 15/8 or 1
1. There are 10 stepping stones numbered 1 to 10
as shown below. A fly jumps from the first stone to the 4th stone from where it started - that is
from 1st it would go to 5th & from 5th it would go to 9thand from 9th it would go to 3rd etc. Where would the fly be at the 60th minute if it starts at 1?
1
9
3 5
1. What is the reminder when 6^17 + 17^6 is
divided by 7?
1
6
0 3
1. In base 7, a number is written only using the
digits 0,1,…6. The number 135 in base 7 is 7^2+3*7+5=75 in base 10. What is the
sum of the base 7 numbers 1234 and 6543 in base 7?
11101
11110
10111 11011
1. The sequence {Aₓ} is defined by A₁ = 2 and
Aₓ₊₁ = Aₓ + 2x. What is the value of A₁₀₀.
9902 9900
10100 9904
1. Find the number of rectangles in the adjoining
figure(a square is also considered a rectangle):
864 3276 1638 None of these
1. A,B,C and D go for a picnic. When A stands on
a weighing mahine, 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 & D is found as 102 Kg and that of B and D is 116 Kg. What is
D’s weight?
58Kg 78Kg 44Kg Cannot be determined
1. 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?
28
48 50
52
1. X, Y, Z 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?
W must be
odd
Y-Z must be odd Z must be odd
1. Mr and Mrs Smith have invited 9 of their
friends and their spouses for a party at the Wakiki 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?
20!
19!+18!
18*19!
2*19!
1. Tim and Elan are 90 km away from each other.
They are starting to move towards each other simultaneously, Tim at a speed of
10 kmph and Elan at a speed of 5 kmph. If every hour they double their speeds,
what is the distance that Tim will pass until he meets Elan?
45km
60km
30km 80km
1. In a rectangular coordinate system, what is
the area of a triangle whose vertices have the coordinates (4,0), (6,3) and
(6,-3)?
6
7
7.5 6.5
1. A drawer holds 4 red hats and 4 blue hats.
What is the probability og getting exactly 3 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?
½
1/8 ¼
3/8
1. In how many ways can we distribute 10
identical looking pencil to 4 students so that each student gets at least one
pencil?
5040 210
84 None of these
1. The prime factorization of integer N is
A*A*B*C, where A, B and C are all distinct prime integers. How many factors
does N have?
12
24
4 6
1. 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?
1
3
2 4
1. If P(x)=ax^4+bx^3+cx^2+dx+e has roots at
x=1,2,3 and 4, and P(0) = 48, what is p(5)?
48
24
0 50
1. Given the following information, who is
youngest?
C is younger than A; A is taller than B
C is older than B; C is younger than D
B is taller than C; A is older than D
D
B
C A
Solutions
TCS
New Pattern Sample Question Paper 2012 (Open Sesame) – Solution
Solution of TCS New Pattern Sample
Question Paper 2012 (Open Sesame)
1. >-1
2. m+n
3. A decrease of 1%
4. 20200
5. 5
6. 96
7. -1/10<x<0
8. 5
9. 48
10. 3
11. -4>x<4
12. 12
13. If B is the daughter
of N, then M & B are sisters
14. 15/8 or 1
15. 1
16. 0
17. 11110
18. 9902
19. 1638
20. 44Kg
21. 48
22. W must be odd
23. 18*19!
24. 60km
25. 6
26. ½
27. 84
28. 12
29. 2
30. Both Statement X &
Y are needed to get the answer
31. B
32. G does not occur if D
does not occur
33. 48
34. Statement X and Y are
together not enough to get the answer, and additional data is needed.
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