Countdown Cat Mock Test Paper-3 1 SECTION-I 1. Dick and Jane agree to meet at a restaurant for lunch. Dick will arrive at a random time between 11:00 AM to 1:00 PM and will wait ¼ of the time from when he arrives until 1:00 PM and Jane will wait 30 minutes. What is the probability that they are both at the restaurant at the same time? a. 5 16 b. 13 48 c. 1 8 d. 1 4 e. None of these 2. There are two cities A and B situated in a different time-zones. A plane flying at usual speed leaves A at 6 am of it‟s local time and reaches B at 3 Pm of B‟s local time. Another plane leaves B at 3 Pm of it‟s local time and reaches A at 4 pm of A‟s local time. If a plane leaves A at 9 am of it‟s local time at it‟s usual speed, and at same instance another plane leaves B at 2/3 rd of the usual speed then what will be the local time of the place where they cross each other. (Assume time-zone change is proportional to the distance) a. 1.24 Pm b. 3.24 pm c. 2.24 pm d. 1.15 pm e. None of these 3. Rani‟s salary is first increased by 25% and then decreased by 20%. The result is the same as Kajol‟s salary increased by 20% and then reduced by 25%. Find the ratio of Kajol‟s salary to that of Rani? a. 4:3 b. 11:10 c. 10:9 d.12:11 e. None of these 4. Find the sum of the areas of the shaded sectors given that ABCDEF is any hexagon and all the circles are of same radius r with different vertices of the hexagon as their centres as shown in the figure. a. 2 r b. 2 2 r c. 2 5 r 4 d. 2 3 2 r e. None of these 5. Aaryan begin to dig a well. After three days Aaditya joined him and it took 9 more days to complete the work. If during the first three days the work would have been carried out by Aaditya alone, then another 8 days were required by both of them to complete the work. How many days would Aaryan and Aaditya respectively take to complete the work separately?
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Countdown Cat Mock Test Paper-3
1
SECTION-I
1. Dick and Jane agree to meet at a restaurant for lunch. Dick will arrive at a random time
between 11:00 AM to 1:00 PM and will wait ¼ of the time from when he arrives until 1:00
PM and Jane will wait 30 minutes. What is the probability that they are both at the
restaurant at the same time?
a. 5
16 b.
13
48 c.
1
8 d.
1
4 e. None of these
2. There are two cities A and B situated in a different time-zones. A plane flying at usual
speed leaves A at 6 am of it‟s local time and reaches B at 3 Pm of B‟s local time. Another
plane leaves B at 3 Pm of it‟s local time and reaches A at 4 pm of A‟s local time. If a plane
leaves A at 9 am of it‟s local time at it‟s usual speed, and at same instance another plane
leaves B at 2/3rd of the usual speed then what will be the local time of the place where
they cross each other. (Assume time-zone change is proportional to the distance)
a. 1.24 Pm b. 3.24 pm c. 2.24 pm d. 1.15 pm e. None of these
3. Rani‟s salary is first increased by 25% and then decreased by 20%. The result is the same
as Kajol‟s salary increased by 20% and then reduced by 25%. Find the ratio of Kajol‟s
salary to that of Rani?
a. 4:3 b. 11:10 c. 10:9 d.12:11 e. None of these
4. Find the sum of the areas of the shaded sectors given that ABCDEF is any hexagon and
all the circles are of same radius r with different vertices of the hexagon as their centres
as shown in the figure.
a. 2r b. 22 r c. 25 r
4
d.
23
2
r e. None of these
5. Aaryan begin to dig a well. After three days Aaditya joined him and it took 9 more days to
complete the work. If during the first three days the work would have been carried out by
Aaditya alone, then another 8 days were required by both of them to complete the work.
How many days would Aaryan and Aaditya respectively take to complete the work
separately?
Countdown Cat Mock Test Paper-3
2
a. 24,14 b. 25,15 c. 30,15 d. 40,20 e. None of these
6. If
1
11
1
a a
c b
b b
a c
and a,b, and c are positive integers, then the number of ordered triples
(a,b,c) such that a+2b+c40, is………
a. 33 b. 37 c. 40 d. 42 e. None of these
7. P is a 2-digit number „ab‟, Q is a 3-digit number‟ cde‟. If you multiply P and Q, then
multiple it by 9 then you will get abcde. What is the sum of P and Q?
a. 110 b. 104 c. 112 d. 126 e. None of these
8. Mr, Honest Singh is a very professional milk seller. Initially he had 600 liters of pure milk
in a container. Unable to maintain his honesty, he withdraws 15% of the milk from the
container and replaces with the same quantity of pure water. He repeats the same
process again and again till the percentage concentration of milk in the container becomes
below 45%. How many times does he repeat the process?
a. 3 b. 4 c. 5 d.6 e. None of these
9. If 5 7 9log 3 log 5 log 7, thenx
a. 3
2x b.
3
1
2x c.
3
3
2x d. None of these
10. What is the sum of the series 2 3 4 51 2 3 4 5 ...........upto ?n n n n n
a. 1
1n b.
2
2
1
1
n n
n
c.
2
2
1
1
n n
n
d.
1
2
n n e. None of these
11. A particle starts at the origin (0,0) at time 0. it moves at one unit per second first to
(1,0) then (1,1), (0,1), (-1,1), (-1,-1) and to (2,-1) spiraling rectangular outward in a
counter-clockwise direction. Find the location of the particle after 226 seconds.
a. (5,7) b. (8,-7) c. (8,-6) d. (5,6) e. None of these
12. In a garden in the form of a square of side 10 m, green grass is grown symmetrically as
shown by the shaded portion in the figure. The area of the portion where green grass is
grown (in m2) is
Countdown Cat Mock Test Paper-3
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a. 35 b. 45 c. 50 d. 55 e. None of these
13. The areas of the three faces of a cuboid are in the ratio 1:3:4 and its volume is 144c.c.
The length of its diagonal is
a. 17 cm b. 21 cm c. 13 cm d.24 cm e. None of these
14. The sum of n terms of the series 7+77+777+…………
a. 7/9 10 10 1 /9n n
b. 7/9 10 10 1 /9n n
c. 7/9 10 10 1 /9n n
d. 7/9 10 10 1 /9n n
e. None of these
15. Fresh coconut contains 80% water by weight whereas dry coconut contains 10% water
by weight, what is the weight of dry coconut that can be obtained from 20 kg of fresh
coconut?
a. 4 kg b. 4.12 kg c. 4.44 kg d. 4.54 kg e. None of these
16. Find the value of 1010 648 648 648107 7 7 ...........
a. 817 b.
727 c. 64807 d.
45367 e. None of these
17. Ram Lal professes to sell 2 kg of Kajoo at a loss of 20%, Now to avoid the loss, he uses
two weighing stones, each of which is marked 1 kg, but weighs less. By doing so he gains
1
6 %2
on selling every 2 kg of Kajoo. If it is given that one of the stones weighs only 750
gm, then how much does the second stone weigh?
a. 900 gm b. 850 gm c. 750 gm d. Cannot be determined
18. 4/5th of the votes in Amritsar promised to vote for Navjot Singh Siddhu and the rest
promised to vote for Sukhbir. of these votes 10% of the voters who had promised to vote
for Navjot Singh Siddhu did not vote on the election day, While 20% of the voters who
had promised to vote for Sukhbir did not vote on the election day. What is the total no. of
votes polled if Navjot Singh Siddhu got 216 votes?
a. 200 b. 300 c. 264 d. 600 e. None of these
19. A,B,C and D represent the mid-points of four sides of a rectangle, If AB=BC=CD=AD=5
Countdown Cat Mock Test Paper-3
4
cms and if one of the sides of the rectangle measures 6 cms, what is the area of the
quadrilateral ABCD?
a. 36 b. 30 c. 24 d. 25 e. None of these
20. If 25ylog 6 and log 8 3,y x x then y is ….
a. 85 b. 12.5 c. 12 d. 10 e. None of these
SECTION-II
Directions for questions 21 to 24: The annual gathering of a college was organized one
day. Six different programmes-Skit, Acting, Dance, Speech, Debate and Extempore are to
be peformed by six students A,B,C,D,E and F not necessarily in the same order. The
programme begins with acting not done by B and ends with extempore. C peforms dance
immediately after the speech. E performs the skit just before the extempore. D or F is not
available for the last performance. The speech is not given by A. An interval of 30 minutes
is given immediately after dance with three more items remaining to be performed. D
performs immeidately after the interval.
21. Which item is performed by F?
a. Acting b. Extempore c. Song d. Data inadequate
22. Who performed the Extempore?
a. A b. B c. Either A or B d. F
23. Who was the first performer?
a. D b. E c. A d. Data inadequate
24. Who was the last performer?
a. A b. B c. F d. Data inadequate
Directions for question 25 & 28: Refer to the following information and answer the
questions that follow.
During a lawn tennis tournament, players are required to complete in four stages:
qualifying round, quarter finals, semi finals and the final. The tournament is conducted
from Monday to Friday. The matches were played on eight courts. The details of the
players who played on each court and particular days are given us:
Countdown Cat Mock Test Paper-3
5
TABLE 1
Court Players
1 1,5
2 9,1,14,9
3 11,7,3,1
4 11,16,13,16
5 3,15,3,10
6 11,10,8,1
7 4,12,4,6
8 3,6,2,4
TABLE 2
Days of week Players
Monday 5,11,7,1,14,16,9,13
Tuesday 1,9,11,16,3,15,10,8,4,12,6,2
Wednesday 11,3,10,1,4,6
Thursday Not available
Friday Not available
TABLE 3
Event Court Days
Qualifying Road I, II, III, IV 1,2,3,4 Monday
Qualifying Road V, VI, VII, VIII 5,6,7,8 Tuesday
Quarter Final I, II 2,4 Tuesday
Quarter Final III, IV 5,7 Wednesday
Semi Final I 6 Wednesday
Semi Final II 8 Thursday
Final 3 Friday
25. Who among the following players moved to the quarter finals?
a. Players 2 b. Players 5 c. Players 11 d. Player 15 e. None of these
26. Which pair of players could not have played their quarterfinal match against each other?
a. Player 1 and Player 9 b. Player 3 and Player 11
c. Player 11 and Player 16 d. Player 4 and Player 6 e. None of these
27. Who among the players won the tournament?
a. Player 1 b. Player 4 c. Player 11 d. Cannot be determined
28. Which player does not play one of his matches on a consecutive day?
a. Player 1 b. Player 3 c. Player 4 d. Player 11 e. None of these
Countdown Cat Mock Test Paper-3
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Directions for questions 29 to 30: The questions are based on the information given
below:
Each of five traders steel, Timber, Boot, Wood and Cotton sent a consignment of goods to
one of the others, none sending to and receiving from the same person. Steel‟s
consignment went to wood. Wood sent boots to the sender of timber. Timber received
steel, and the sender of wood had the name of the commodity received by Boot.
29. Boot received a consignment of
a. wood b. timber c. steel d. cotton
30. Who received neither timber nor steel?
I. Boot II. Timber III. Wood
a. I b. II c. III d. I and II
SECTION-III
Directions for questions 31 to 35: Refer to the followings graphs and answer the
question.
Countdown Cat Mock Test Paper-3
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31. If 248 users were questioned for the survey, how many wanted the soaps only for
medicinal purposes?
a. 42 b. 166 c. 124 d. Indeterminable
32. If 420 people were covered under the survey, how many wanted the soaps to combat
body odour?
a. 150 b. 181 c. 169 d. Indeterminable
33. If 851 people were questioned for the above survey, how many wanted the soap for
cleansing action?
a. 102 b. 112 c. 122 d. None of these
34. What percent of the people, who tried the soap in trial because of recommendations,
continued using it for a mentioned similar purpose daily use?
a. 88.14 b. 84.35 c. 79.86 d. None of these
35. If 302 people were questioned regarding the reason for use, how many of them were
foreign returned?
a. 24 b. 21 c. 27 d. Insufficient data
Directions for questions 36 to 37: Each of these items has a question followed by two
statements, I and II. Mark,
a. If the question can be answered with the help of one statement alone.
b. If the question can be answered with the help of any statement independently.
c. If the question can be answered with the help of both statements together.
Countdown Cat Mock Test Paper-3
8
d. If the question cannot be answered even with the help of both statements together
36. Find a pair of real numbers x and y that satisfy the following two equations simultaneously.
It is known that the values of a,b,c,d,e and f are non-zero
ax+by=c
dx+ey=f
I. a=Kd and b=Ke, c=Kf,
II. a=b=1, d=c=2,f 2c
37. Three Professors A,B and C are separately given three sets of numbers to add. They
were expected to find the answers to 4+1,1+1+2, and 1+1 respectively. Their respective
were 3,3 and 2. How many of the professors are mathematicians?
I. A mathematician can never add two numbers correctly, but can always add three
numbers correctly.
II. When a mathematician makes a mistake in a sum, the error is to 1 or -1
Directions for questions 38 to 40: Answer these questions on the basis of the
information given below.
Surveys were conducted in three different years-2003, 2004 and 2005-to find out the
likelihood of people investing in shares or real estate. Each year, exactly 500 people were
surveyed and the results of the survey are given in the following table.
Likelihood of investing
Number of People
In share In Real Estate
2003 2004 2005 2003 2004 2005
Very unlikely 250 230 110 85 90 105
Somewhat unlikely
120 130 145 70 65 40
Undecided 50 60 75 20 65 35
Somewhat likely 25 30 55 230 180 170
Very likely 10 20 35 80 105 125
No response 45 30 80 15 35 25
Persons likely to invest=Persons somewhat likely to invest+Persons very likely to invest
Persons unlikely to invest=Persons somewhat unlikely+Persons very unlikely are real
estate?
38. In the year 2003, at least how many of the persons surveyed are unlikely to invest in both shares are real estate?
a. 25 b. 35 c. 45 d. Cannot be determined
39. In the year 2005, what is the least number of persons surveyed who are likely to invest in shares or real estate? a. 0 b. 90 c. 295 d. Cannot be determined
Countdown Cat Mock Test Paper-3
9
40. In the year 2004, if of the persons surveyed, exactly 70 persons said that were undecided
to invest either in shares or in real estate, what percentage of the total number of persons surveyed were undecided to invest both in shares and in real estate?
a.4% b. 5% c. 6% d. 9%
SECTION-IV
Directions for Questions 41 to 42: Identify the correct sentence or sentences.
41. A. The boy worked hard lest he fail.
B. They enjoyed during the match
C. The question comprises of four parts.
D. I was very much taken aback by his behaviour.
a. Only A b. Both A & C c. Both B & D d. Only D
42. A. Will you pardon me being rude that day?
B. The Watch Was much more expensive than we thought at first.
C. Who is the smartest student of the class?
D. She shouted to me from the top floor.
a. Only A b. Only B c. Both B & D d. Only C
Directions for questions 43 & 44: Read each of the short passage and answer the
questions that follow:
43. A company decided to cut costs during a downturn. One of the measures was to monitor
the usage of stationary. The management was of the opinion that a reduction of even
15% in stationary costs would increase profitability by 5%.
Which of the following, if true, would weaken the above argument?
a. The downturn was not expected to last for more than four quarters.
b. The cost of stationary in other companies was similar.
c. The expenditure on usage monitoring equipment was more than the reduction in cost of
stationary.
d. The entire cost cutting exercise was rendered futile due to employee retrenchment.
44. „Manasi‟ a women‟s fortnightly magazine, conducted a survey among its women readers to
test the acceptability factor of a new mixer-grinder. Seventy five per cent of the
respondents gave a positive reply. This survey clearly indicates that the launch of this
new electronic gadget in the near future, will be a successful one.
The flaw in the above argument is:
a. Concentration on the urban women alone.
b. A survey not being foolproof enough for a launch.
c. The sample not being representative enough for the launch.
d. The remaining 25% of respondents not being considered.
Countdown Cat Mock Test Paper-3
10
Directions for questions 45 & 46: Read each of the short Passages and answer
the questions that follow:
45. About 96% of Scandinavian moths have ears turned to the ultrasonic pulses that bats,
their predators, emit. But the remaining 4% do not have ears and are deaf. However,
they have a larger wingspan than the hearing moths, and also have higher wing-loadings
- the ratio between a wing‟s area and its weight-meaning higher maneuverability.
Which one of the following can be best inferred from the above passage?
a. A higher proportion of deaf moths than hearing moths fall prey to bats.
b. Deaf moths may try to avoid bats by frequent changes in their flight direction.
c. Deaf moths are faster than hearing moths, and so are less prone to becoming a bat‟s
dinner than hearing moths.
d. The large wingspan enables deaf moths to better receive and sense the pulses of their
bat predators.
46. Argentina‟s beef cattle herd has dropped to under 50 million from 57 million ten year ago
in 1990. The animals are worth less, too; prices fell by over a third last year, before
recovering slightly. Most local, meat packers and processors are in financial trouble, and
recent years have seen a string of plant closures. The Beef Producers‟ Association has now
come up with a massive advertisement campaign calling upon Argentines to eat more