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Capgemini quants and reasoning
1. Six Phrase – The Finishing School
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Capgemini Questions
Aptitude:
1. When the angle of elevation of the sun increases from 30° to
60°,the shadow of a pole is diminishedby 5 m. Then the height of
the post is
a)
2
5
√3 m
b)
5
3
√3 m
c)
3
5
√2 m
d)
5
2
√3 m
2) Anita,Bharti and Charu get Rs.2500 for a piece of work.Together Anita
and Bharti are supposed to do 7/8th work.What is Charu’s share?
a) Rs.300
b) Rs.400
c) Rs.100
d) Rs.200
3) Trinka make a dress in 4 days.Dinka takes 6 days to make same dress
while Pinka is very fast and can make the dress just in 2 days>If all of
them start working together on the dress,how much time would they
require?
a) 1.09 days
b) 0.8 days
c) 1.23 days
d) 1.67 days
4) The radius of the circle is 15 cm and PQ is a chord which is at a
distance of 12 cm from the centre.The length of the chord PQ is,
a) 9 cm
b) 18 cm
c) 27 cm
d) 25 cm
5) A vessel contains 30% of milk and 70% of water.Another vessel with
double the capacity of first contains 70% of milk and 30% of water.If both
are mixedwhat is the concentrations of the milk in the mixture?
a) 56.67%
b) 46.67%
c) 50.67%
d) 42.67%
6) Two circles radii 9 cm and 11 cm touch externally at T.If a straight line
is drawn through T and centre of the circles cuts the circles at M and
N,then TM:TN is
a) 11:9
b)12:11
c) 9:11
d) 11:12
7) Carlson bought a house and investedRs.50,000 on its repairs.He sold
the house for 20% profit and bought two cars with that money.He then
sold each car at a profit 10%.After all his business,he gets an overall
profit of Rs.64,000.What is the initial investment of C ?
a) 2,30,000
b) 2,00,000
c) 2,10,000
d) 2,40,000
8) The solution of the equation
6𝑥
𝑥+1
+
6(𝑥+1)
𝑥
= 13 are
a) (-2,-3)
b) (2,-3)
c) (3,-2)
d) (2,3)
9) The maximum possible sum of A.P series 40,36,32….. is,
a) 320
b) 220
c) 232
d) 225
10) How many 2-digit numbers leaves the remainder “1” when divided by
2?
a) 18
b) 28
c) 50
d) 58
11) Determine the sum of all even factors of 680.
a) 1215
b) 1125
c) 1512
d) 1152
2. 12) If
√(𝑥+5)
√𝑥+5
+
√(𝑥−16)
√(𝑥−16)
=
7
3
then “x” equals,
a) 10
b) 40
c) 30
d) 20
13) If p:q is the sub-duplicate ratio of (p-x)2: (q-x)2 then x2 is equal to ,
a) q/(p+q)
b) p/(p+q)
c) pq/(p-q)
d) pq/(p+q)
14) Yane and Lane are two cities,390 km apart.Maha starts from Yane at 9
am and travels towards Lane at 24 kmph and Kavi starts from Lane
towards Yane at 10 am running at 55 kmph.When would they meet each
other passed there is only a single route connecting two citites?
a) 2 pm
b) 10.30 pm
c) 11.30 am
d) 2 am
15) The Meera runner takes 26 seconds to pass a platform running at a
speed of 24 kmph.It takes 9 sec to cross a man who is walking at 4 kmph
in opposite direction.Findthe length of the platform.
a) 245 m
b) None
c) 255 m
d) 265 m
16) The distance between two cities is 30 miles on motor way or 25 miles
on the other roads .At the peak hours the average speed on the motorway
is 36 mph and the average speedon the other roads is 37.5 mph.Which is
the quicker journey?
a) motorway
b) other roads
c) both journey takes the same time
d) Data inadequate
17) The sum of an A.P whose first term is -4 and the last term is
17.Determine value of n.
a) 100
b) 101
c) 102
d) 99
18) f(x)=x3-3 and g(x)=(1/x)-x
a) 5/4
b) -15/4
c) 0
d) -27/4
19) f(t)=(t3-1) and g(t)= 1 and h(t)=-t2.The value of fohog at t=3.
a) -1
b) 0
c) -2
d) None of these
26. Which of the following cannot be a root of a polynomial in “x” of the
form (9x^3 + ax^2 + b) , where x and y are integers?
a. 1/3
b. 1/4
c. -5
d. -9
27. Determine the volume of a cone of base radius 8 cm and height 21 cm.
a. 1408 cm ^3
b. 1048 cm ^3
c. 1480 cm ^3
d. 1804 cm ^3
28. If Rs. 1,360 have been divided among A,B,C such that A gets (2/3)rd
of what B gets (1/4)th of what C gets, then B's share is:
a. Rs. 120
b. Rs.240
c. Rs.160
d. Rs.320
29. In a college's cultural festival, 6 programs are to be staged, 3 on a day,
for 2 days. In how many ways could the program be arranged?
a. 320
b. 675
3. c. 720
d. 360
30. What will be the final value of investment for the principal value of Rs.
80,000 for 4 years @ 10 % p. a. rate of intereset?
a. Rs.83,200
b. Rs. 1,12,000
c. Rs. 82,300
d. None of these
31. Determine the number of terms in the A.P , whose first and fifth terms
are -14 and 2 respectively and also the sums of the terms is 40.
a. 10
b. 25
c. 8
d. 14
32. Sarita and pooja do a piece of work for Rs. 200. Srita alone could do it
in 6 days . With the help of karim , they finishedit in 3days. W hat is the
karim's sahre?
a. Rs 21
b. Rs 25
c. Rs 24
d. Rs 20
33. The cost of a chair and a table is in the ratio 2:3 . What is the total
cost of ten tables and ten chairs if one chair and one tle cost Rs. 500
together?
a. Rs 5000
b. Rs 2500
c. Rs 1500
d. Rs 5500
34. A man can row 8 kmph in soil water. If in a river rinnuning at 2 kmph
, it takes him 45 minutes to row to a palce and back, how far off is the
palce?
a. 2.5 km
b. 2.81 km
c. 2.61 km
d. 2 km
35. If log2 x + log4 x + log16 x =21/4 , then the value of “ x “ equals :
a. 2
b. 4
c. 16
d. 8
36. A man sold ahorse at a loss of 7 %. Had he been able to sell it at again
of 9 %, it would have fetchedRs. 64 more than it did. What was the cost
price ?
a. Rs.600
b. Rs.700
c. Rs.500
d. Rs.400
Consider the following given functions:
F2(n) = 2 n
F2(n) = n 3/2
F3(n) = n logn
F4(n) = n logn
Which among the following options correctly represents the increasing
order of asymptotic complexity of the functions F1 , F2 , F3 and F4
respectively?
a. F2 < F3 < F1 < F4
b. F3 < F2 < F4 < F1
c. F3< F2 < F1 < F4
d. None of these
52. G is the circumcenter of the Δwith circumradius 17 cm. Let NO= 30
4. cm and GD is perpendicular to NO. Then the length of GD is :
a. 8 cm
b. 12 cm
c. 13 cm
d. 60 cm
Reasoning:
1) What is the quantity of milk in the vessel?
Statements:
i) The vessel contains milk and water in the ratio 1:2.
ii) Full capacity of vessel is 5 litres.
a) Only one statement is alone sufficient but other is not.
b) Each statement is sufficient.
c) Both statements together not sufficient.
d) Both statements are sufficient.
2) Is quadrilateral PQRS is a parallelogram?
Statements: i) Adjacent lines PQ and QR have the same length.
ii) Adjacent sides RS and SP have same length.
a) Only one statement is alone sufficient but other is not.
b) Each statement is sufficient.
c) Both statements together not sufficient.
d) Both statements are sufficient.
3) What is the colour of mixture when redand Black are mixedin the ratio
1:2?
Statements: i) Brown colour will be appeared.
ii) Dominant colour will be appearing when red and black are mixed.
a) Only one statement is alone sufficient but other is not.
b) Each statement is sufficient.
c) Both statements together not sufficient.
d) Both statements are sufficient.
4) How many smaller cubes are formed from a larger cube?
Statements:
i) The side of larger cube is 15 m.
ii) The surface area of smaller cube is 150 m2.
a) Only one statement is alone sufficient but other is not.
b) Each statement is sufficient.
c) Both statements together not sufficient.
d) Both statements are sufficient.
5) Find the missing term :
CFI:LKM::UUU:___
a) OPQ
b) ORP
c) ORQ
d) OQP
6) A man pointing to the photograph says”The lady in the photograph is
my nephew’s maternal grandmother ”.How is the lady in the photo is
relatedto the man’s sister who has no other sister?
a) mother-in-law
b) mother
c) cousin
d) sister-in-law
7) For over three decades company X has been totally involved in energy
conservation,its efficient use management.
Conclusion:
i) The company X is yet to learn and acquire basic things in this area.
ii) It is dedication that is more important than knowledge and expertise.
a) Only conclusion I follows
b) Only conclusion ii follows
c) Both conclusion I and ii follows
d) neither i nor ii
8) Statements: 1. All pink are sunny.
2. All sunny are bright
3. All bright are mixture
4. Some mixtures are red.
Conclusion:
1. All bright are pink.
2. All mixtures are sunny.
a) Only conclusion I follows
b) Only conclusion ii follows
c) Both conclusion I and ii follows
d) neither i nor ii
9)
Student Maths Physics Chemistry Tamil English
R1 53 46 73 55 65
6. Conclusions :
I. P % N
II. Q $ M
a. only conclusion I follows
b. only conclusion II follows
c. Either conclusion I or II is true
d. neither conclusion I nor II follows
22. Below is / are given statements followed by (two) concusions. Take the
given statements to be true, even if they contradict commonly known
facts, and determine the conclusion/s that logically follow/s from
statement/s.
Statements:
I. Some boys are old.
II. Some old are girls.
Conclusion:
I. Some boys are girls.
II. No boy is girl.
a. only conclusion I follows
b. only conclusion II follows
c. Either conclusion I or II is true
d. neither conclusion I nor II follows
23. Pointing to a photograph , a lady tells to vinod, “ I am the only
daughter of the lady and her son is your maternal uncle”. How is the lady
relatedto vinod's father ?
a. Sister
b. Mother
c. Wife
d. Sister-in-law
24. If in a certain code language “ PLAYER” is coded as “QNDCJX” , then
how would “SINGER” be coded in the same code language?
A.TKQXJK
b. TKQKJX
c.TKQKXJ
d. TKJKQX
25. If in a certain code language “ CERTAIN” is coded as “XVIGZRM” and “
SEQUENCE” as “HVJPVMXV”, then how would “REQUIRED” be coded in
the same code language?
a. FJIVWVIR
b. WVJREFVI
c.VJIFWTRV
d.IVJFRIVW