Roots Education FLT1402 1 SECTION I 1. Karunesh is a courier boy with DTDC. One day he starts from his office at Aadarsh Nagar with a number of packets to be delivered at different places. In the first locality Basantlok that he visits, he delivers half the number of packets he was carrying and picks up 6 new packets. At the next stop Chandni Chowk, he delivers one-third of the number of packets he had then and picks up 12 new ones. At the last stop Delhi Cantonment, he parts with every packet he had then, which was the same number that he had started with from Aadarsh Nagar. How many packets had he when he left Basantlok? A] 42 B] 24 C] 18 D] 28 2. A regular size brick weighs 8 kilograms. How much will a similar prototype brick, made of the same material but all the dimensions of which are 75% smaller than the corresponding dimensions of the regular brick, weigh? A] 2 kg B] 0.5 kg C] 0.125 kg D] 0.0625 kg 3. One company pays dividends at the rate of 11% on shares of face value Rs.100 each; another company pays at the rate of 7% on shares of face value Rs.10 each. If the price of the former is Rs.115.50 and that of the latter is Rs.7.75, then compare the returns on investment which the shares return to a purchaser. A] 155 : 147 B] 952 : 903 C] 98 : 99 D] 65 : 58 4. In the following figure, points A, B, C and D lie on the circumference of a circle. DAB = 60˚ and ABC = 80˚. What is the measure of BQC? A] 40˚ B] 20˚ C] 60˚ D] 80˚ 5. Raman and Chaman are two naughty children who are at opposite ends of a road at points A and B respectively. Raman and Chaman take 8 and 10 seconds respectively to cross the road. If Raman is at A and Chaman is at B and they start simultaneously, after how long will Raman be at B and Chaman be at A simultaneously? Assume that they keep crossing the road continuously without any break. A] 80 seconds B] 60 seconds C] 120 seconds D] Never simultaneously 6. A piece of cardboard is in the shape of a trapezium ABCD such that AB || DC and BCD = 90˚. Also, side BC is shorter than CD. A quarter circle with C as its centre and CB = CE as radius (where E lies on CD) is removed from ABCD. Given that AB = BC = 3.5cm and DE = 2cm, calculate the area of the remaining cardboard. (Take = 22/7) A] 3.325 cm 2 B] 6.125 cm 2 C] 3.125 cm 2 D] 12.25 cm 2 7. Antardhwani is an Inter College Football competition in which several teams participate. The format of it is such that in the first round each team plays one game with every other team. The top one-third of the participating teams (assume no ties) progress to the second stage where they again play one match against each other. The top two teams then meet to decide the champion while the other two play for the third position. How many teams take part in the competition, if 74 games are played in the competition? A] 9 B] 12 C] 21 D] Not possible A B D C Q A B D C Q
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Roots Education FLT1402 1
SECTION I 1. Karunesh is a courier boy with DTDC. One day he starts from his office at Aadarsh Nagar with a number
of packets to be delivered at different places. In the first locality Basantlok that he visits, he delivers half
the number of packets he was carrying and picks up 6 new packets. At the next stop Chandni Chowk, he
delivers one-third of the number of packets he had then and picks up 12 new ones. At the last stop Delhi
Cantonment, he parts with every packet he had then, which was the same number that he had started with
from Aadarsh Nagar. How many packets had he when he left Basantlok?
A] 42 B] 24
C] 18 D] 28
2. A regular size brick weighs 8 kilograms. How much will a similar prototype brick, made of the same
material but all the dimensions of which are 75% smaller than the corresponding dimensions of the
regular brick, weigh?
A] 2 kg B] 0.5 kg
C] 0.125 kg D] 0.0625 kg
3. One company pays dividends at the rate of 11% on shares of face value Rs.100 each; another company
pays at the rate of 7% on shares of face value Rs.10 each. If the price of the former is Rs.115.50 and that
of the latter is Rs.7.75, then compare the returns on investment which the shares return to a purchaser.
A] 155 : 147 B] 952 : 903
C] 98 : 99 D] 65 : 58
4. In the following figure, points A, B, C and D lie on the circumference of a circle. DAB = 60˚ and
ABC = 80˚. What is the measure of BQC?
A] 40˚
B] 20˚
C] 60˚
D] 80˚
5. Raman and Chaman are two naughty children who are at opposite ends of a road at points A and B
respectively. Raman and Chaman take 8 and 10 seconds respectively to cross the road. If Raman is at A
and Chaman is at B and they start simultaneously, after how long will Raman be at B and Chaman be at A
simultaneously? Assume that they keep crossing the road continuously without any break.
A] 80 seconds B] 60 seconds
C] 120 seconds D] Never simultaneously
6. A piece of cardboard is in the shape of a trapezium ABCD such that AB || DC and BCD = 90˚. Also,
side BC is shorter than CD. A quarter circle with C as its centre and CB = CE as radius (where E lies on
CD) is removed from ABCD. Given that AB = BC = 3.5cm and DE = 2cm, calculate the area of the
remaining cardboard. (Take = 22/7)
A] 3.325 cm2 B] 6.125 cm
2
C] 3.125 cm2 D] 12.25 cm
2
7. Antardhwani is an Inter College Football competition in which several teams participate. The format of it
is such that in the first round each team plays one game with every other team. The top one-third of the
participating teams (assume no ties) progress to the second stage where they again play one match against
each other. The top two teams then meet to decide the champion while the other two play for the third
position. How many teams take part in the competition, if 74 games are played in the competition?
A] 9 B] 12
C] 21 D] Not possible
A B
DC
QA B
DC
Q
Roots Education FLT1402 2
8. A toy is in the shape of a right circular cylinder, in the middle, with a hemisphere on one end and a cone
on the other. The height and radius of the cylindrical part are 13 cm and 5 cm respectively. The radii of
the hemispherical and conical parts are the same as that of the cylindrical part. What is the surface area of
the toy if the height of conical part is 12 cm?
A] 1440 cm2 B] 385 cm
2
C] 1580 cm2 D] 770 cm
2
9. If ABC is a quarter circle with unit radius with a circle inscribed in it, what is the radius of smaller circle?
A] 1
2 1 B]
2 1
2
C] 1
22
D] 2 1
2
10. An article is made up of four components A, B, C and D. The costs of manufacturing of the four
components are in the ratio of 5 : 3 : 4 : 8 respectively. If manufacturing cost of A increases by 20%, that
of B decreases by 20%, of C decreases by 20% and of D increases by 20%, what would be the percentage
change in the manufacturing cost of the article? Assume manufacturing cost of the article = sum of
manufacturing costs of the 4 components.
A] 8 B] 12
C] 6 D] 1.2
11. Sunny borrows a sum of Rs.1200 at the beginning of a year. After 4 months, Rs.1800 more is borrowed at
a rate of interest, double the previous one. At the end of the year, the difference between the simple
interests paid on second and first loans is Rs.72. What is the rate of interest per month on the first loan?
A] 9 % B] 6 %
C] 8 % D] 1/2 %
12. ABCDEF, a regular hexagon has circles of identical radii r with different vertices of the hexagon as
centres. The circles only touch but do not overlap each other. What is area of circles lying outside
ABCDEF?
A] r2 B] 4r
2
C] 5r2/4 D] 3r
2/2
13. Out of 40 consecutive positive integers, 2 are chosen at random. The probability that their sum is odd is:
A] 1
2 B]
20
39
C] 19
39 D]
21
40
14. If x, y, z are in GP, the reciprocals of (1 + log10 x), (1 + log10 y) and (1 + log10 z) respectively will be in
A] AP B] GP
C] HP D] None of these
Roots Education FLT1402 3
15. Ramesh and Suresh are playing a game wherein they ask each other a mathematical question. Ramesh
begins the game by asking Suresh the following question. The denominator of a fraction is smaller than
the square of the numerator by unity. If you add 2 to the numerator and the denominator, the fraction will
exceed 1/3 but if we subtract 3 from the numerator and the denominator, the fraction will be positive and
smaller than 1/10. Which of the following was the correct answer given by Suresh?
A] 3/8 B] 4/15
C] 5/24 D] 6/35
16. A cylinder just circumscribes a hemisphere and a right circular cone lies inside the cylinder so that all the
three have a common base. The vertex of the cone lies on the axis of the cylinder and its distance from the
base is half the shortest distance from the center of the base to the center of the top of the cylinder. The
volumes of the cylinder, hemisphere and cone are respectively in the ratio of
A] 3 : 2 : 1 B] 2 : 3 : 1
C] 1 : 2 : 3 D] None of these
17. Ashutosh is working with a piece of wood in the workshop class of his first year in an engineering college.
The piece is in the shape of a cuboid with dimensions 10 cm x 5 cm x 5 cm. Ashutosh cuts the piece
exactly midway along its longest dimension, parallel to one of the surfaces of the cuboid. The two
resulting solids are painted on all the surfaces. What is the cost of painting at the rate of Rs.6/cm2?
A] Rs.900 B] Rs.350
C] Rs.2100 D] Rs.1800
18. The sum of the digits of a three-digit number is 12. It is also known that on subtracting (103/2 – 5) from a
number consisting of the same digits as the original number but written in the reverse order, we shall get
the original number. What is reverse of the three-digit original number if the sum of all pair-wise products
of the digits constituting that number is 41?
A] 156 B] 732
C] 197 D] None of these
19. Saurabh buys a plate for Rs.15. Had he bought it for 4% less and sold it for 60 paise more than his present
selling price, he would have gained 75/4 %. At what percentage profit is he presently selling?
A] 9% B] 5%
C] 15% D] 10%
Roots Education FLT1402 4
Directions for questions 20 to 23: Study the graph given below and answer the questions that follow.
The following graph gives a City-Wise Break up of circulation (sales) of some leading Hindi Dailies of a state.
20. Nearly what percent of the total circulation in the given cities does the Dainik Jagran account for?
A] 80% B] 60% C] 70% D] 50%
21. The ratio of the total circulation of Aj to that of Rashtriya Sahara in all the given cities is approximately:
A] 1 : 3 B] 1 : 2 C] 1 : 4 D] 2 : 5
22. The overall circulation figures for Agra exceed the overall circulation for Meerut by nearly
A] 40% B] 55% C] 70% D] 120%
23. If you were to advertise a product in any two newspapers in two different cities, which of the following
will form a part of your advertising campaign assuming that you aim to maximize the number of people
you can reach out to? You may assume that for a circulation less than 30,000 within a city each
newspaper reaches 1.2 people on an average but for a newspaper with circulation greater than or equal to
30,000 in a city, the overall average readership per newspaper is 0.8.
I. Dainik Jagran in Kanpur
II. Rashtriya Sahara in Jhansi
III. Amar Ujala in Agra
IV. Rashtriya Sahara in Lucknow
A] I and II B] I and III C] II and III D] I and IV
25. [D] Quantities are in ‘000s (LS: Leather Shoes,
SS: Sports Shoes)
Place LS SS Floaters
Revenues
C 20 50 10
Price (550) (2200) (220)
123200
H 0 60 30
Price (450) (1800) (180)
113400
Difference = 9800(‘000) = 98 lakhs
26. [A] At M: LS SS
Floaters
Capacity 40 10 150
Production(%) 75 50 80
Production 30 5 120
Total capacity = 40 = 10 + 150 = 200
Total production = 30 + 5 + 120 = 155
Combined % utilization = 155
77.5200
%
% unutilized capacity = 100 – 77.5 = 22.5%
27–30:
27. [D] Since, the rupee sales for the scooties and
motor-cycles as well as the distribution of
sales and volume across various brands for
scooties and motor-cycles are not given, the
highest unit price for a brand of two-
wheeler cannot be determined.
h/2
h/2
h/2
h/2
Roots Education FLT1402 17
28. [B] Rupee sales of scooters (E) = 490 crores
Vol. sales of scooters (E) = 0.2 x 7 x 0.285
= 4 lakhs
Average price of E = 49000/4 = 12250
Volume of scooties = 0.15 x 7 = 1.05 m
Rupee market (scooties) = 1285 crores
29. [D] {(20/10) – (20/33)}/ (20/33) ≈ 230%
30. [A] 0.15 x 56.5 x 3.6 = 30.51º
SECTION II
31. [D] The author makes clear his disappointment
or disagreement with Hollenbach at several
places. Examples include:
End of 3rd
paragraph: “I was surprised..”
2nd
line of paragraph 5: “I was
disappointed..”
Last sentence of 6th
paragraph: “I could find
little ontological density..”
Last sentence of 7th
paragraph: “The author
evinces…”
The author does express satisfaction at
some places such as middle of 2nd
paragraph: “Hollenbach clearly and
usefully distinguishes..”
Hence, [D] is the best option.
32. [C] Refer to the end of the opening paragraph:
“wants to convince the reader not only that
the common good is intelligible..”
33. [C] Refer to the end of the 2nd
paragraph where
the author quotes Hollenbach: “A key
aspect .. of being in a community at all.”
34. [B] Refer to the beginning of the 6th
paragraph,
where Hollenbach’s definition of natural is
stated and the use of the phrase “in the light
of careful reflection on the full range of
human experience”.
35. [C] Refer to the middle of the 2nd
paragraph: “..
clearly and usefully distinguishes..”
36. [B] “.. pointless to quarrel ., especially one that
contains words such as careful and
critical” sums up author’s assessment of
Hollenbach’s definition.
37. [C] Refer to the beginning of the 2nd
last
paragraph: “Anyone who picks.. doesn’t
have much to say about Christian Ethics.”
Whereas the title of the book is The
Common Good and Christian Ethics.
Incoherent means vague, parsimonious
means thrifty/miserly whereas bizarre
means weird. None of these is apt
considering the content and tone of the
author, who simply implies that the title is
inapt or inappropriate.
38. [A] Refer to the 4th
line of the last paragraph:
“When he treats the Catholic tradition,
elementary distinctions are often missing.”
39. [C] Vice means morally weak and hence
contradicts with being shrewd, so option
[A] is ruled out. Only “defenses” (option
[C]) goes with “against” which follows the
second blank.
40. [A] Options [B] and [D] can be ruled out as
they do not fit the context. Phenomenon
can be multi-faceted while book cannot be!
41. [B] Only “frontiers” fits the first blank.
42. [A] Two sentences are disjoint but still related.
Therefore, the pause should be more than a
comma and less than a period (full-stop).
Hence, semi-colon is required.
43. [D] Past tense associated is incorrect when
exercise has been used in present tense.
Hence, options [A] and [B] are ruled out. In
option [C] too, past tense required is wrong
as rest of the sentence is in present tense.
44. [A] Sentence C simply names various books
(paperbacks) and relates sentence E to
sentence B; all three sentences talk about
‘these paperbacks’ of ‘that time’. E-C-B as
a link appears only in option [A], which
indicates the most logical ordering for the
given sentences.
45. [A] Either B or D has to follow from 1, which
talks about an upbringing in different
countries and an uneven income
distribution. Therefore, either option [A] or
option [D] is correct. However, considering
option [D], sentence B does not relate
either to E or to sentence C. Therefore, [A]
is the best option, in which B (talking about
income disparity) and D (talking about
multinational experience) follow 1, in that
order.
Roots Education FLT1402 18
46. [C] Incorrect sentences: I (The correct usage is
‘eye on’). II (The use of present perfect
‘has improved’ is incorrect; ‘Once’
replaced with ‘Since’ will correct the
sentence.) IV (Correct usage is
‘misdirected’)
47. [B] Incorrect sentences: II (Correct usage is
‘The captain and the coach shook hands
warmly.’) III (Correct usage is ‘under full
media glare’) IV (Correct usage is ‘passed
off’)
48. [D] Incorrect sentences: II (Subjective case ‘I’
should be used instead of objective case
‘me’ when the pronoun is used as a subject
in a sentence.) III (Correct usage is
‘complimented’ and not ‘complemented’ in
this context.) IV (Correct structure is
‘always go hand-in-hand’)
49. [D] Incorrect sentences: I (‘Sports’ is plural so
the verb should be ‘build’) II (The use of
preposition ‘of’ in ‘…of a place…’ is
incorrect.) III (‘…they gave way to…’ and
‘…they made way for…’ are correct
usages.)
50. [A] Incorrect sentences: II (The correct usage is
‘As far as I am concerned…’) IV (‘…in the
heat of the moment…’ is the correct usage.)
51. [D] C and D sit opposite to each other. So, if A
sits opposite to cook, B should be the cook.
Now, B is right next to the Hair Dresser.
So, the above 2 arrangements are possible.
Hence, there is no unique solution.
52. [C] In first case, bacteria after the 5th
day = 32
Thereon, the increase in number of bacteria
and the area covered is the same as in the
second case it will take (20 – 5) = 15
days to cover the slide in the 2nd
case.
53-54:
53. [C] Q and P must lie on the route. You can
compare the options visually and see that
KXOPQL is the longest route that includes
Q and P.
54. [A] The shortest route would be KXPYL
(where PY is along the circumference of
the inner ring-road and is 18 units as given
in the question). KX = YL = 12 – 8 = 4
Required distance = 4 + XP + 18 + 4
= 26 + XP
XP = π 8 – 18 = 7.15 units
Required distance = 33.15 units
55-56: Laxman cannot shoot at A, C, E and G
he can take a maximum of 3 shots (B, D
and F) and a minimum of 2 shots (out of B,
D and F). Parthiv will have to shoot at 3 a
minimum of objects (out of A, E, C and G).
Rahul can shoot at only one object either
from Laxman’s set (B, D, F) or from
Parthiv’s set (A, E, C, G). Therefore, there
are 2 possibilities (in terms of number of
shots taken by each):
I. Parthiv– 3, Rahul– 1, Laxman– 3
II. Parthiv– 4, Rahul– 1, Laxman– 2
55. [B] If Parthiv and Laxman hit atleast half of the
objects they shoot at, then the minimum
number of hits in case
I: Parthiv – 2 out of 3, Laxman – 2 out of 3
Total = 4
II. Parthiv – 2 out of 4, Laxman – 1 out of 2
Total = 3
Rahul’s minimum number of hits = 0 in
both cases.
Therefore, minimum number of hits = 3 (i.e.
must exceed 2)
56. [C] Minimum number of shots for Rahul = 1,
for Parthiv = 2 and for Laxman = 2
Hence, the first additional shot is fired at
the 6th
object – F
57–58:
1
B, Cook
A, Washer man
C, H
air-
dre
sser
D,
Tai
lor
1
B, Cook
A, Washer man
C, H
air-
dre
sser
D,
Tai
lor
2
B, Cook
A, Tailor
C, W
ash
er
man
D, H
air
-
dre
sser
2
B, Cook
A, Tailor
C, W
ash
er
man
D, H
air
-
dre
sser
H Gir Gita R M Shir Sita San
E Y Y Y N Y Y Y N
H N Y Y N N N
M Y N Y Y N Y Y N
G Y N Y N N N Y N
S Y Y N N Y Y Y N
Roots Education FLT1402 19
57. [C]
58. [C]
59–60: Three birds were seen by one person each,
three were seen by each unique pair
(Atreya-Rohtagi, Atreya-Chari, and
Rohtagi-Chari), and one was seen by all
three. So seven birds were seen in all, and
each person saw a total of four. Hence, all
of the birds Chari saw were yellow. These
were:
(1) the one Chari saw alone;
(2) the one Chari saw with Atreya;
(3) the one Chari saw with Rohtagi; and
(4) the one all three saw together.
This accounts for both of the yellow birds
Atreya saw, and two of the three yellow
birds Rohtagi saw. The third yellow bird
Rohtagi saw could not have been the one
Atreya and Rohtagi saw together, because
Atreya only saw two yellow birds; so the
third yellow bird Rohtagi saw must have
been the one he saw alone. So there were
five yellow birds (the one Rohtagi saw, the
one Chari saw, the one Atreya and Chari
saw, the one Rohtagi and Chari saw, and
the one all three saw), and two non-yellow
birds (the one Atreya saw and the one
Atreya and Rohtagi saw).
59. [C] Of the 7 birds, 5 were yellow.
60. [A] Of the 7 birds, 2 were non-yellow.
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