0 ratings0% found this document useful (0 votes) 270 views11 pagesTimes CAT Mock Test
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content,
claim it here.
Available Formats
Download as PDF or read online on Scribd
7
TILME.
‘wetted oe
Advanced Educational Activities Pvt. Ltd.
Ref: AIMCAT2420
INSTRUCTIONS
1 noes c instructions given at the beginning/end of each section or at the beginning of a group of questions very
2. This test has a total of 66 questions in three sections: ()) Verbal Ability and Reading Comprehension ~ 24 Questions
(ii) Data Interpretation and Logical Reasoning ~ 20 Questions and (ii) Quantitative Ability ~ 22 Questions. The total
time available for the test is 120 minutes, However, you will bo allotted exactly 40 minutes for answering the
500 O03,
“Tet 4040088400 Fx: 040-27847334 email: info@timeteducaton com _ website www timededucatoncons
AIMCATZ206 SECTION =I
Number of Questions = 20
DIRECTIONS for questions
‘veELONS onthe basis a the infomation gwen below”
formation given below.
Eight persons, A th
2 restaurant TA Nou H. wanted to meet for dinner ot
1€ eight of them arrived at the
ai wre et wed at he restaurant
aileron times Except tote pean who wn hn a
‘oan saurant ects person wailed out te
ant unt the last pereon amin. Ae oon a8 the lat
Berson arrived at the restaurant, they went into the
nt and were seated aroun ab
feslayrant nd were seated round cba abl igh
Further, the times at which the eight persons arrived at the
festaurant are 7.10 PM, 7.20 PM, 745 PM, 0:10 PM,
5:45 PM, 8:10 PM, 925 PM and 9:35 PM
Iti also known that
(i) A. who waited longer than 8, was sting opposto tho
person who was the third to are at the restaurant
Cid the person who was siting tothe le of C waited for
sinty minutes more than © did.
(i) F and G, who were siting adjacent to each other,
arived one immediately afr the eter, In the same
onder.
(i) He tho was not siting adjacent to F, was siting
adjacentto the person who arrived at 9:25 PM.
(v) the number of minutes that D waited was twice the
Turber of mines thatthe person siting tothe right
ofD waited
(vi forone pair ofpersons siting opposite each other, the
total time thatthe two of them waited was more than
240 minutes and for one other pair of persons siting
epposte each other, the total ime that the two of
them waited was exacly 110 minutes.
ton 1 Gelect the correct alternative
DIRECTIONS for q
from the given chovces.
1. Who was the first person to arrive at the restaurant?
wo
(0) &
(c) F
(0) Cannot be determined
DIRECTIONS for quastion 2: Type in your answer in the
Input box provided below tha question.
2. How many minutes did the person sitting opposite B
wait?
DIRECTIONS for quostions 3 to 5 Salect the correct
‘iterative from the given choices.
3. Who Is siting opposite H?
ac (D0 (cA (WE
4. Among the persons who arrived after 8:00 PI, how
many pairs of persons are sitting opposite each
other?
@o | (4 3 (2
6. How many persons arrived before F?
ws (6 (c)4 (03
DIRECTIONS for questions 6 to 10: Answer these questions on the basis of the information given below.
Pavan purchased a new car at the beginning of January 2021
‘The car came with a total of five tires — four tres fixed to
the carand one tire as a spare. The positions of the four tires fixed to the car are Front Left Front Right, Back Left and
Back Right. The total distance that any tire travels is referred to as the mileage of that tire. When buying the car, the
technician informed Pavan that whenever the mileage of any tire reaches 10000 km, that tie must'be replaced with a new
‘One. The technician also advised that every month, Pavan should remove one of the four tires fixed to the car and swap
itwith the spare tie, so that the mileages of al the tires remain as equal as possible.
From the beginning of January 2021 to the end of June
2022, Pavan travelled a distance of exactly 2000 km each month.
However, he did not swap the ties every month as advised but only did so at the beginning of certain months.
‘The table below provides, for the given petiod, the months at the beginning of which he swapped the tires and the position
of the tre which he swapped. When swapping a tire,
the swapped tire beoomes the spare tie. He did not change the positions of any other t
fed any tire as soon as its mileage reached 10000 km and
Further, he kept a track of the mileage of each tire and discard
‘attached a new tre in its position. If
purchased a new tire before the beginning of the next month.
tire reached a mileage of 10000 km at
‘the spare tire is placed in the position of the tire being swapped and
at any other point of time.
‘the end of a month, he discarded it and
Month Position of the Swapped Tire
March 2024 Front Left
‘July 2021 Back Right
‘September 2021 Front Left
December 2021 Back Left
February 2022 Front Right
"May 2022, Back Right
‘avanced Educational Activities Pvt. Lid.
‘Tel: 040-40088400 Fax :040-27847334_enfall:inforRtimeteducation com website : ww timeteducaton con
IM.E.) 10; 95B, 2™ Floor, Siddamsctty Complex, Secunderabad ~ 500 003,
AIMCAT207. DIRECTIONS for quests 6 and 7: Se
‘altemative from the given choices. Selec pe core
6. How many tires did Pavan purchase from tho
beginning of January 2021 to the beginning of May
2022 (ot 19 the five ties that came with the
10
® uu
(G) 12
(0) 13
7. What is the mileage of the tire which was the spare
tire on 20" May 20227
(A) 2000 km.
{8) 4000 km.
(C) 8000 km
(0) Okm
DIRECTIONS for question 8: Type in your answer in the
input box provided below the question.
8. What is the sum of the mileages (in km) of the five
tres in Pavan's carat te Begining f November
2021
DIRECTIONS for question 9: Select the correct alternative
from the given choices.
9. At the beginning of how many months during the
period from the beginning of January 2021 to the end
fof June 2022 did each of the five tires in Pavan's car
have a mileage of more than 3000 km?
a3 (8) 1
4 (0) 5
DIRECTIONS for question 10: Type in your answer in the
input box provided below the question.
10. At the beginning of how many months during the
period from the beginning of January 2021 to the end
Of June 2022 was the mileage of the tre in the Front
Right position more than'that of the tie in the Back
Right position?
(em)
DIRECTIONS for questions 11 fo 15: Answer these
questions on the basis of the information given below.
Five traders — Lalit, Mano), Naveen, Omar and Piyush ~
purchased rice at dtferent prices per kg among %45, 268,
273, 877 and %65, not necessarily in the same order.
Further, each trader sold the purchased rice at a different
price per kg among 278, 64, 298, 8106 and %124, not
hecessariy in the same order. It is also known that the
profit per kg made by each trader is distinct, and no trader
nade a profit of more than 840 per kg in selling the rice.
Favanced Edvealional Acivivios Pvt Ld, (ANGE) 10, 950, 2™ Floor, Suddametty Comptes, Sesunderah
%
(040-40088400 Fax 040-27847334 email: info@uimeteducaion com website : ww. timededueation com
“The following information is also known:
(). Lait, who made a profit greater than 835 per kg, cid
rot purchase the rice at the highest price.
W) Mano, who did not purchase the rice at the lowest
prica, purchased the rice for loss than 275 per kg.
(ii) The loast profit that anyone made was greater than
110 por kg
(iv) The profit por kg made by Omar was greater than that
mado by Piyush but neither of them sold the rice for
more than #100 per kg,
DIRECTIONS for quostion 11: Type in your answer in the
input box provided below the question.
44. How many traders made a profit greater than 220
per kg?
DIRECTIONS for questions 12 to 14: Select the correct
alternative from the given choices.
42, Who made the highest profit per kg?
(A) Mano}
(B) Lait
(C) Naveen
(0) Omar
43, Which of the following statements are true?
|. The trader who purchased the rice at the highest
price made the highest profit per ko
IL. The trader who sold the rice atthe highest price
made the highest profit per kg.
IIL, The trader who sold the rice at the lowest price
made the lowest profit per kg.
IV. The trader who purchased the rice at the lowest
price made the lowest profit per ka,
(@) Land Vv
(©) Wand
(C) Land tt
(0) L.tand iv
414, What is the average of the profits per kg made by the
five traders?
(A) 225.60
(B) @31.40
{c) 229.60
(0) 228.40
DIRECTIONS for question 15: Type in your answer in the
input box provided below the question.
48. Whatis the profit per kg made by Piyush?
rad — 500 003,
AINCAT2208 DIRECTIO
zs IN for quadtons 18 o 20: Anwar thane eaetona bt
leon students,
Integer Further net ho. tempted two oxama = GAT and PAT. The score of any student in any exam was an
through C5 are 2, 4,3, 4 ira eee is Q different colleges ~ C1 through C5. The number of students from
of the information given below.
The graph below,
the GAT com ewes the sor oh 6 sian inte to exams, vh ti PAT scare along ha vical xia and
T 40-
c
e 30
|
| eB le
= = | 20
£ | . el
8 (os 10
Score in GAT
It is also known that ‘
{ino two students from the same college had the same score in either GAT or PAT.
{ii)_ the score in GAT of any student from C1 was less than that of any student from C2, while the score in PAT of any
‘student from C1 was not less than that of any student from any of G2 or C3 or C4.
(li the score in PAT of any student from C5 was less than that of any student from any of C1 or C2 of C4.
{iv) no student from C4 scored less than 14 in either of the two tests, while every student from C3 scored less than ~§ in
PAT.
DIRECTIONS for questions 160 20: Select the correct. 19, What BEST canbe said about the difference between
‘alternative from the given choices. the sum of the scores in PAT of all the students in
C4 and the sum of the scores in GAT of all the
46, Which college does A belong to? students in C4?
(a) C2 (6) C4 {A) Itlies between 29 and 38.
(©) C3 (0) Either C2 or C4 {B) Itis either 32 of 37.
. {C) It lies between 25 and 30.
147, What is the sum of the scores in PAT of all the (0) itis either 27 or 28.
students from C2?
(@) 70 20. If the sum of the scores in PAT of the students from
(8) 72 C1 is more than the sum of the scores in GAT of the
(C) 76 students from C5, to which college does O belong?
{D) Either 70 or 72, (a) C5
(B) C4
48, Which of the following options represents the (c) c3
exhaustive ist of colleges to which N can belong? (©) Either C3 or C4
(A) C2, 03, C5 (8) C5
(©) 62,63, C4 (0) €3,c5
Favanced Eduealional Aciivitios Pvt, Lid, (.M:E.) 110; 95D, 2* Floor, Siddamselly Complex, Secunderabad ~ 500 003.
“Tet 040-40088400 Fax :040-27647334_ email: info@timededucation com website: wwetimeteducationcom __ AIMCAT24200 SECTION =I
Number of Questions = 22
DIRECTIONS for question 1: Type in your answer in the
Input box provided below the question.
1. “Find the number of solutions to the equation
6x? + 5x-6-08= 0,
DIRECTIONS for questions 2 fo 6: Select the correct
altemative from the given choices,
2. Ram and Sita had a son named Bala, The sum of tho
present ages of Ram and Bala Is 120 years. When
Ram was as old as Sita is, Sita was twice as old as
Bala, Find the present age of Bala (in years).
(@) 35 (8) 30
() 40 (0) 20
3. as VAT +48, b= Vid +111, c= Vi6 +49, and
d= 13 + Vi2, which of the following is tue?
(A) b>d>ard
(8) d>b>c>a
(C) d>c>b>a
(0) a>c>b>d
4. Inatriangle ABC, let AD, BE and CF be the medians
to BC, CA and AB respectively and let G be the point
of intersection of the medians. If the quadriaterals.
AFGE, BFGD and CDGE are represented as Qs, Qz
‘and Qs respectively, then which of the following
statements is/are true?
If Qs is concycic, then AE =V3 GD.
FQ}, Qz and Qs are all concyclc, then triangle
ABC's right-angled.
ML. If Qs, Qz and Qs are all concyclic, then triangle
ABC is equilateral,
(A) Hand only
(8) Land 11 only
(C) Only i
(0) Only
By seling two items, each at the same selling price,
a shopkeeper made an overall profit of 20%. If one
item was sold at a profit of 60%, then the other was
sold at
{(B) a loss of 10%.
(8) a loss of 30%
(C) aproftof 10%,
(0) no profi no loss.
6. Let_m be a positive integer greater than 4 and
n= m?—m. Then n?~6n? + Bn is always divisible by
(A) 48. (@) 6.
(iz. (0) 124,
DIRECTIONS for question 7: Type in your answer in the
input box provided below the question, th
7. Af Bill and Chetan were classmates and
ftateh a movie at South Cy Mal right after ther lass
got over, Bil had_an Acta bike whieh ould
Wie
‘accommodate a maximum of two persons at a time
land they wanted to reach the mall in the minimum
time possible. They started simultaneously trom thelr
colloge, Bill and Arif on the bike and Chetan on foot
Bill dropped Atif at a certain point along the route to
the mall, ured back and on his way met Chetan, He
pickod up Chetan and then traveled towards the mall
Buch that all three of them reached the mall
simultaneously. What is the total time (in minutes)
taken by them to reach the mall from their college, if
the: epeed of the bike was 30 kmmr, the walking
speed of each of them was 6 km/hr and the distance
between their college and the mall vas 22.5 km?
DIRECTIONS for quostion 8: Select the correct aternative
from the given choices.
8. P1 and P2 are two sets of parallel ines, such that the
number of lines in P2 is greater than that in P1. If they
intersect at a total of 18 points, the total number of
parallelograms formed by P1 and P2 cannot be
(A) 36,
(8) 45.
(C) 54.
(0) Allthe above
DIRECTIONS for question 9: Type in your answer in the
input box provided below the question.
1. If the maximum value of sin0 ~ 2sin%® is =. for
0" <0< 90%, find the value of A.
DIRECTIONS for question 10: Select the correct
altemative from the given choices.
10, In the right-angled triangle given below, AB = BC =
6 Y2cm. The side AB is divided into 13 equal parts
by drawing 12 line segments, each parallel to BC,
from AB to AC. Find the sum of the lengths of these
‘2line segments. in
(A) 36V2 cm
(®) 39/2 em
(©) 42V2 em
(©) 12Bom L .
DIRECTIONS for questions 11 to 14: Type in your answer
in the input box provided below the question.
nd b are both natural numbers, and
logs (a logs b) = 1, now many ordered pairs (, 0)
exist
‘Ravanced Educational Activities Pvt. Lig. (T-14.€.) 10; 950, 2° Floor, Siddamsetty Complex, Secunderabad ~ 500 003
(0-27847334_
Te
04040088400 Fa
info imetedcstion com _ webu
vwwtimefeducaton com AIMCAT2420/10 42, 2 200
‘are natural ~ 28s kx 2, whore Kand
Value ofr? MMPe, What Is tho grontost possibla
13, The sum of the
first 12 terms of a goomatr
progressions ites tho sum of he not som.
I the fist term of the progression Is 82, whats tho
seventh term of the progression?
14, The units digit in the expansion of [(999)°™) is
DIRECTIONS for questions 15 and 16: Select the correct
alternative from the given choices.
45. Two vessels, Aand B, contain spirit and water, mixed
in the ratio 7 : 3 and 4 : 9 respectively. Find the ratio
in which the contents of A and B should be mixed So
‘28 to obtain a new mixture, containing spiritand water
in the ratio 5: 8.
(A) 12:49 (8) 10:41
(©) 11:45 (0) 9:37
Nitish was to get a 50% hike in his pay but the
computer operator wrongly keyed in the figure, as
0% and printed the new pay slip. He received salary
at this level for three months before the company
fealized the mistake, What percentage of his correct
few salary will he get in the fourth month, if the
trees salary paid to him in the previous three
months is deducted in the fourth month?
(A) 20% (8) 25%
(C) 40% (0) 33%%
16.
DIRECTIONS for question 17: Type in your answer in the
input box provided below the question.
coins with him and he gave one more than
of coins with him to Bulu and then
‘than one-third of the remaining
intu. IFN is a two-digit number,
3s can N assume?
47. Alay had N
half the number
gave two more
‘number of coins to Chit
how many distinct values
‘Favanced Educational Activiti
1040088400 Fax :040-27847334_emal
te
Fr. Ld. (FAME) HO: 95D, 2 Foo, Siddamsenty Comples
infostimededucation.com website + www timed s
DIRECTIONS for quostion 10 (0 22: Soloct tho correct
alternative rom the given choices.
48, If tho sum of the units digits in P2 and 6” is Q, where
P and Q aro natural numbers, such that P < 4 and
<7, how many possibla values exist for O°?
(a) 3 (8) 2
(1 (0) 0
In roctangle ABCD, a semicircle is constructed with
‘AB a8 tho diameter, The semicircle intersects CD at
points P and Q, M is a point on AB such that PM is
Perpendicular to AB, If the perimeters of rectangles
AMPD and MBCP are 18 om and 26 om respectively,
19,
find the area (in sq.cm) of the semicircle.
(A) 28.1252 (8) 22.625"
(©) 36.375" (0) 38.125
20, IF fx) = oe 1) — 10x + 1), while f(1) = 3 and 14) = 4,
what is the value of {(7)?
at (8) <2
0 (2
24. Find the quadratic equation whose roots are half the
roots of the equation x? + 5x +3 =0.
(A) 2+ 10+ 12=0 -
(8) 4x2 + 200+
(©) 249+
(0) 4x2# 100+
How many positive integral values of n exist, such
wnat 2272 tonic
es
as
(8
7
“abad = 500 003
Becunde
i "AT2s20/tL
eduction com.
