# 20 IMPORTANT PUZZLES | Maths & Reasoning | Free PDF Download

## 20 IMPORTANT PUZZLES

Eight persons J, K, L, M, N, O, P and Q are sitting around a circular table facing the
centre, but not necessarily in the same
order – P is third to the left of M.
– O is second to the left of P.
– Only one person sits between M and L.
– 28 year old is neighbour of both O and P.

– K is third to the left of 28 years old.
– Q is second to the right of J.
– 39 year old is second to the left of N.
– 13 year old is to the right of K.
– K is elder to N but younger than L.
– L is not the eldest.
– M is 16 year old.
– 16 year old and 9 year old are not immediate neighbors.
– Ages are as 9, 13, 16, 18, 21, 28, 33, and 39.

Eight friends A, B, C, D, E, F, G and H went to a party and
had different food items chips, chocolate, pasta, pizza,
chowmein, fries, burger and cake not necessarily in the
same order. They are seated in a linear fashion with four
of them facing South and the other four facing north. The
arrangement is based on the following rules:

• one who had the burger and D are at the two ends of
the line, they face the opposite directions.
• There is a gap of 3 people between the one who had
chocolate and the one who had pasta.
• F had cake and is fourth to the right of D. Neighbours of
F face the same direction
• One who had chips is a neighbour of both C and the one
• B is second to the left of the one who had chocolate.
• B did not have a burger
• H and G are neighbours and they face the same
direction.
• G neither had a chocolate nor chips.
• One who had fries is 2nd to the right of the one who
• One who had pizza is 2nd to the left of G.
• E faces south and did not have a burger.
• F and H face the same direction.
Rahul, Rohan, Ayush, Abhishek, Harshit,
Himanshu and Karan are seven house captains of
their respective houses jn Delhi Public School.

Their houses have different names viz. Red, yellow. Orange, Blue, Black, White and Green.
The programme was organized by the house whose captain is Abhishek. All house captains
are participating on different days of the week, starting from Monday. Rohan is the captain of
red house and he participates neither on Friday nor on Monday. The organizer of the event is
Green house and its captain is scheduled to participate on Thursday. Rohan and Abhishek
participate with a gap of one day. Himanshu is participating on Wednesday. Rahul will be
participating on the last day of the week. Ayush is the captain of Blue house. The captain of
Yellow house participate on the last day of the week. The captain of orange house participate
on Tuesday. The captain of Blue house does not participate on Friday. Hjmanshu, who is the
captain of white house will be participating after Harshit.
Eight friends – A, B, C, D, E, F, G and H – speak one
language each viz, Bengali, Telugu. Marathi, Tamil, Urdu, Gujarati. Kannada and Punjabi, not necessarily in the
same order. Each of them also owns a car from among Volkswagen, Jaguar, BMW, Skoda, Audi, Maruti,
Mercedes and Scorpio, not necessarily in the same order.

It is also known that:

1) A speaks Bengali and does not own the Jaguar while D
does not speak Marathi and owns the Skoda.
2) E neither speaks Marathi nor Gujarati but owns either
the Audi or BMW.
3) The Jaguar is not owned by C or F while H owns the
Scorpio.
4) The person who speaks Gujarati owns the Maruti but is
not C. The person who speaks Marathi owns neither the
Mercedes nor the Scorpio.
5) Gujarati is not the language which G, who owns the
Mercedes, speaks
6) C does not speak Telugu and does not own the
Volkswagen.
7) The person who owns the Jaguar speaks neither Marathi nor Urdu and the person who speaks Punjabi
owns neither the Mercedes nor the Jaguar.
8) D speaks Tamil while G speaks neither Urdu nor Telugu.
There are 8 friends O, P, Q, R, S, T, U and
V Who Sit around a circular table (not necessarily in order). They sell Furniture,
Stationary, Dairy, Grocery, Clothes, Electronics, Bags and shoes (not necessarily in order). All of them are
facing the center. O and U Sit opposite each other. V sells stationary. The person who sells Clothes and the one Who sells
bags Sit next to each other. P Sits 3rd to the right Of person who sells grocery and 3rd to the left of S. O sells furniture. The
person Who sells shoes Sits to the immediate left of U. P does not sell Clothes. T Sits next to the person who
sells electronics. Neither P nor S sits next to U. Q is 2nd to the left of the person
Who sells Clothes.

## PROBABILITY (Set – 1)

1) In a lottery there are 20 prizes and 15 blanks. What is the probability of getting prize?
a) 1/10 b) 2/5 c) 5/6 d) 4/7 e) None of these
2) A bag contains 5 red, 6 yellow and 7 green balls. 3 balls are drawn randomly.
What is the probability that the balls drawn contain no red ball?
(a) 55/282 (b) 55/272 (c) 143/408 (d) 143/406 (e) None of these
3) From a box containing 15 bulbs, of which one-third are defective, two bulbs
are chosen at random to fit into the two bulb holders in a room. What is the
probability that the room is lighted?
a) 19/21 b) 21/23 c) 15/16 d) 16/21 e) None of these
4) In a box carrying one dozen of oranges, one third have become bad. If 3
oranges are taken out from the box at random, what is the probability that at
least one oranges out of the three oranges picked up is good?
(a) 1/55 (b) 54/55 (c) 45/55 (d) 3/55 (e) None of these
5) A bag contains 7 blue balls, 9 yellow balls and 14 pink balls. A ball is drawn
at random from the bag. What is the probability that the ball drawn is either
blue or yellow?
a) 8/15 b) 10/23 c) 11/23 d) 13/529 e) None of these

## PROBLEM ON AGES (Set – 1)

1) The age of the father 3 years ago was 7 times the age of his son. At present
the father’s age is 5 times that of his son. What are the present ages of the
father and the son?
(a) 45yr, 9yr (b) 35yr, 7 yr (c) 75yr, 15yr (d) 50yr, 10 yr (e) None of these
2) 10 years ago, Radha’s mother was 4 times older than her daughter. After 10
years, the mother will be twice older than the daughter. What is the present
(a) 25yr (b) 20yr (c) 35yr (d) 40yr (e) None of these
3) The sum of the present ages of a mother and her daughter is 50 years. Also
5 years ago, the mother’s age was 7 times the age of the daughter. What are
the present ages of the mother and the daughter?
(a) 45yr, 5yr (b) 30yr, 20 yr (c) 35yr, 15yr (d) 40yr, 10 yr (e) None of these
4) The respective ratio of the present age of a mother and daughter is 7 : 1.
Four years ago the respective ratio of their age was 19 : 1. What will be the
mother’s age four years from now ?
(a) 42 years (b) 38 years (c) 46 years (d) 36 years (e) None of these
5) A man’s age is 125% of what it was 10 years ago, but 83(/)% of what it
will be after 10 years. What is his present age?
(a) 40 yr (b) 30yr (c) 35yr (d) 50yr (e) None of these
6) The difference between the present age of Arun and Deepak is 14 years.
Seven years ago the ratio of their ages was 5 : 7 respectively. What is Deepak’s
present age ?
(a) 49 years (b) 42 years (c) 63 years (d) 35 years (e) 56 years
7) The average age of a group of 14 person is 27 years and 9 months. Two
persons, each 42 years old, left the group. What will be the average age of the
remaining persons in the group ?
(a) 26.875 years (b) 26.25 years (c) 25.375 years (d) 25 years (e) None of
these
8) A’s present age is three times his son’s present age and two-fifth of his
father’s present age. The average of the present ages of all of them is 46 years.
What is the difference between the A’s son’s present age and A’s father’s
present age?

(a) 68 years (b) 88 years (c) 78 years (d) Cannot be determined
(e) None of these
9) In a family, a couple has a son and daughter. The age of the father is three
times that of his daughter and the age of the son is half of his mother. The
wife is nine years younger to her husband and the brother is seven years older
than his sister. What is the age of the mother?
(a) 40 years (b) 45 years (c) 50 years (d) 60 years (e) 65 years
10) If 6 years are subtracted from the present age of Shyam and the remainder
is divided by 18, then the present age of his grandson Anup is obtained. If
Anup is 2 years younger to Mahesh whose age is 5 years, then what is the age
of Shyam?
(a) 48 years (b) 60 years (c) 84 years (d) 96 years (e) None of these

## PROBLEM ON AGES (Set – 2)

10) If 6 years are subtracted from the present age of Shyam and the remainder
is divided by 18, then the present age of his grandson Anup is obtained. If Anup is 2 years younger to Mahesh whose age is 5 years, then what is the age of
Shyam?
(a) 48 years (b) 60 years (c) 84 years (d) 96 years (e) None of these
1) A boy was asked of his age by his friend. The boy said, ‘The number you get
when you subtract 25 times my age from twice the square of my age will be
thrice your age.’ If the friend’s age is 14, then the age of the boy is:
(a) 28 years (b) 21 years (c) 14 years (d) 25 years (e) None of these
2) The ages of the members of a joint family of eight people added up to 231
years. Three years later, one member died at the age of 60 years and a child was born at the same time when person was died. After another three years,
one more member died, again at 60, and a child was born at the same time when person was died. The current average age of this eight-member joint
family is nearest to:
(a) 22 years (b) 25 years (c) 20 years (d) 23 years (e) 24 years
3) There were 15 students in a class. When the ages of a teacher and anew boy
are added, the average age of the class increases by 10 per cent while it remains the same when only the age of a boy is added. If the teacher’s age is
eight more than twice the age of the new boy, then find the initial average age of the class.
(a) 15.4 years (b) 16.5 years (c) 11.4 years (d) Can’t be determined
(e) None of these
4) Amrita is 2 years elder to her brother Akash. Her father was 25 years old at time of her sister Manyta’s birth and her mother was 28 years old at time of
her birth. Find the average of age of father and mother at the time of Akash’s birth, if Mantya was 7 years old when Akash was born.
a) 18 years b) 21 years c) 25 years d) 31 years e) 34 years
5) Three years from now, the ratio of the ages of Preeti and Anisha would be
3:4, respectively. The sum of ages of Preeti and Anisha, 5 years ago was 40 years. What is the present age of Anisha?
a) 18 years b) 29 years c) 20 years d) 32 years e) None of these
6) The ratio of the present age of Kamal to the present age of Kiran is 4:9,
respectively and the ratio of the present age of Kiran to the present age of
Sanjay is 2:5, respectively. After 4 years, Sanjay had a baby and at that time the
age of Kamal is half the age of Kiran. Find the average age of Sanjay and his
baby at the 2nd birthday of his baby. (Assume Sanjay and his baby was born on same date)

a) 94 years b) 84 years c) 89 years d) 79 years e) None of these
7) The average age of a family having five members is 42 years and the age of
the oldest member of the family is 76 years. In the same year, a member
whose age is 32 years has married a girl and after marriage, the average age of
the family (including the bride) reduced by 2 years. If ratio of the age of the
rest of three members (other than the oldest member, member who got
married and his bride) is 5:14:15, respectively then find the difference between
the age of the youngest and the age of the bride.

a) 36 years b) 20 years c) 15 years d) 25 years e) None of these
8) The product of the age of Ankita and Nikita is 240. If twice of the age of
Nikita is more than Ankita as age of by 4 years, then what is Nikita age?
a) 18 years b) 12 years c) 20 years d) 32 years e) None of these

## 20 IMPORTANT PUZZLES

There are 9 people: P, Q, R, S, T, U, V, W and X sitting in 3 rows (3 people in each
row). These 9 people follow three professions: Doctor. Lawyer and Teacher
(3 people tor each profession). No two people in the same row follows the same
profession. The middle row is facing north and the first and third rows face
south.

U sits at the right corner in the third row.
Q and T who sit at the ends are facing each other. P sits in the 1st row, he is a
doctor. S and X sit next to each other. W sits to the immediate left of the person
who is facing V. P does not sit next to W.
V doesn’t sit at the end. T is a doctor.

There are 2 lawyers who are sitting facing
each other. X sits to the immediate right
of a doctor.
Eight people A, B, C, D, E, F, G, H are Sitting
around a circular table facing towards center
and away from the centre alternately. Each of
these people is from a different City among
Patiala, Chandigarh, sultanpur, Chennai,
Agartala, Saharanpur, Daman and Lucknow. It
is also known that D is from Agartala and
sitting opposite to H. H is not from
Chandigarh and B is sitting adjacent to G. E
Sits 2nd to the left of A who is from Lucknow.
A also Sits opposite to G, who is facing
towards the centre. F is from Sultanpur and is
sitting opposite to the person who is from
Saharanpur. B is from Daman. G is not sitting
People who are from Sultanpur and Chennai
are sitting adjacent to each other and D is not
sitting opposite to the person Who is from
Chennai.
Eight people namely, I, J, K, L, M, N, O and P are working in
eight different companies viz., A, B, C, D, E, F, G and H.
They are all from different cities viz., Chennai, Bangalore,
Jaipur and Mumbai. Not more than two persons are from
same city. All the information is not necessary to be in the
same order.
M is working in company H and he is from same city
as the person who is working in company G. The person
from Mumbai is working in company E. The person who is
working in Company A is from Chennai. The person who is
working in company G is not from Bangalore. K is not from
Mumbai. K does not work in the company G. N is working
in Company C. The person who is working in Company C
and Company E is not from same city. The Persons J and P
are from same city. J is working in neither company E nor
company A. O is neither from Bangalore nor from Chennai.
O is not from the same place of a person who is working in
company E. Neither P nor N is from Chennai. The person
who is working in Company F and the person who is
working in Company D are not from Chennai. Neither K nor
J is working in company F. L is not working in company A.
The person who is working in company D is not from
Bangalore. I is neither working in Company F nor working
in company B.
Eight persons J, K, L, M, N, O, P and Q are
sitting around a circular table facing the
centre, but not necessarily in the same
order – P is third to the left of M.
– O is second to the left of P.
– Only one person sits between M and L.
– 28 year old is neighbour of both O and
P.
– K is third to the left of 28 years old.
– Q is second to the right of J.
– 39 year old is second to the left of N.
– 13 year old is to the right of K.
– K is elder to N but younger than L.
– L is not the eldest.
– M is 16 year old.
– 16 year old and 9 year old are not
immediate neighbors.
– Ages are as 9, 13, 16, 18, 21, 28, 33, and
39.
20
IMPORTANT PUZZLES

A, B, C, D, E, F, G and H are eight employees
or an organization working in three
and Marketing with not more than three of
them in any department. Each of them has a
different choice of sports from football,
basketball, hockey and table tennis, not
necessarily in the same order. D works in
Administration and does not like either
football or cricket. F works in Personnel with
only A, who likes table tennis. E and H do not
work in the same department as D. C likes
hockey and does not work in Marketing. G
does not work in Administration and does not
like either cricket or badminton. One of those
who work in Administration likes football.
The one who likes volleyball works in
Personnel. None of those who work in
lawn tennis. H does not like cricket.
6 persons A, B, C, D, E, F live on different floors of a
six storied building. The ground floor is considered as
first floor and top floor is considered as 6th floor. A,
B, C, D, E, F live on 6th, 5th, 4th, 3rd, 2nd, 1st floor
respectively. They have different heights and
weights. The tallest person has rank 1 in terms of
height and the heaviest person has rank 1 in terms of
weight. Rank 1 is considered as highest and rank 6 is
considered as lowest.
Rank of B in terms of height is same as rank of E in
terms of weight. No person has the same rank in
terms of height and weight. At least three persons
who have height greater than E. E has a lower rank in
terms of weight than in terms of height. D is not the
tallest person. C’s height is greater than A but
shorter than D. Exactly three floors are there
between the floors of heaviest and the lightest
persons. A is heavier than D. The fourth heaviest
person do not live on the floor adjacent to the floor
of the lightest and the 2nd heaviest person. At least
2 persons are heavier than the person who lives on
first floor.
There are 7 friends namely A, B, C, D, E, F
and G who live in a 7 floor building from 1st
to 7th floor (1 person at each floor). They
use different types of vehicles like: car, bike,
cycle, scooter, jeep, truck and van (not
necessarily in order). B lives on 4th floor
and he uses scooter. C lives 4 floors above
the person who uses bike. The person who
uses truck lives exactly above the person
who uses car. There is one floor between F
and G. F and the one who has truck are
three floors away from each other. The
person who uses bike does not live below
the person who uses cycle. 3 people live
between the people who use car and jeep. E
lives exactly below A. E does not live below
F.
7 people, A, B, C, D, E, F, G are placed in a
row. Some are facing south while some are
facing north. Following information is
known.
i. Neighbors of C face south and E sits
second to the left of F.
ii. B and G are sitting beside each other and
face the same direction.
iii. Exactly one person sits between A and
B.
iv. B sits exactly in middle of the row.
v. Neighbors of A do not face the same
direction.
vi. D sits to the immediate left of A but not
beside B.
vii. There is only one person to the left of C
and C faces North.
20
IMPORTANT PUZZLES

Seven persons ravi, prashant, gaurav,
abhishek, lokesh, pranav and vivek are
seated in a straight row such that 4 of them
are not facing north and 3 are facing north.
the row has eight chairs and one of the
chairs is vacant.
• Lokesh’s only neighbour is seated 2nd to
the right of Abhishek.
• 3 persons are seated between abhishek
and prashant.
• Vivek is seated 3rd to the right of
Prashant.
• Pranav is seated 2nd to the right of ravi.
• Gaurav is to the immediate left of pranav
• Lokesh and Vivek face the same
direction.
• No three persons on consecutive seats
face the same direction.
There are seven vertical shelves from top to bottom in a cupboard
labeled as P, Q, R, S, T. U and V not necessarily in the same order.
Each Shelf contains a shampoo packet of one of the different
brands viz. Dove, Loreal paris, Tresemme & Pantene and also
contains a lotion packet of one of the different brands viz. Vaseline,
Olay, Nivea. At least one packet but not more than two packets of a
shampoo brand are kept in the seven shelves. At least two packets
but not more than three packets of a lotion brand are kept in the
seven shelves. Each shelf contains one shampoo and one lotion
only. Only two shelves have Olay lotion. The following information
i. One of the shelves containing Nivea lotion has both the adjacent
neighbors as the shelves containing Olay lotions
ii. The two shelves which contain the same shampoo are vertically
and has the same shampoos as well and none of them is U.
iii. O is four shelves above P but Q and S are not vertically adjacent.
iv. The shelf at second position from top and the one at the bottom
contain same shampoo. v. One of the shelves containing Vaseline
lotion also contains Pantene shampoo.
vi. S is at the middle and contains Dove shampoo but not Nivea
lotion.
vii. T which contains Nivea lotion also contains the shampoo which
is not contained by any other shelf and immediately above R.
viii. U neither contains Tresemme shampoo nor Vaseline lotion.
ix. The two shelves which contain the same lotion are vertically
and has same lotion as well and one of the shelves is at second
position from top.
x. The shelf at 5th position from top contains Pantene shampoo.
Each of six people A, B, C, D, E and F visited a
different city among Jaipur, Mumbai, Kolkata, Delhi,
Chennai and Bangalore. Each of them took a cab
service among Ola, Uber, Magic, Real, Super and
Meru in the city they visit. Each of them rated their
cab ride as 10, 9 or 8. Following information is
known:
1) Rating awarded to Uber ride is more than that
awarded to Meru ride. B doesn’t go by Meru.
2) A and C gave a rating of 9 but visited neither
Kolkata nor Bangalore.
3) D visited either Jaipur or Mumbai.
4) The person who uses Real cab visits either
Mumbai or Kolkata.
5) The cab service which was used in Chennai got 8
rating.
6) F gave a 10 rating but did not visit Kolkata.
7) Only Ola, Magic and Super got 10 rating.
8) The person who visits Super cab visits Jaipur. A
does not go by Uber.
There are seven lecturers P, Q, R, S, T, U, V
teaching seven different subjects Physics,
Economics, Geography, Biology, Chemistry,
Maths and History. Their annual salary is
divided into three salary Slabs. 3-5 lakh, 6-8
lakh & 10—13 lakh. There are three persons
only in the salary slab of 10-13 lakhs. U earns
12 lakh. Q and V earn lower than U’s salary in
the same slab. S earns more than only one
person who teaches Economics. The person
who teaches Chemistry earns more than the
one who teaches Geography and their total
annual income is 15 lakh per annum in the
same slab. There are two persons only in the
salary slab of 3-5 lakhs. The person who
teaches History earns lower than U and higher
than the one who teaches Biology in the same
slab. U does not teach Physics. The total
annual income of V & P and Q & T are 17 lakh
and 19 lakh respectively. The difference
between the annual income of S and R is 2
lakh.
40
EQUATIONS

1)
I. x2 + 22x – 48 = 0
II. y2 – 17y – 38 = 0
2)
I. 3x
2 – 7x + 4 = 0
II. 6y
2 – 8y + 2 = 0
3)
I. x2 – 23x + 102 = 0
II. 10y2 – 3y – 27 = 0
4)
I. x2 – 8x – 65 = 0
II. y2 – 8y – 20 = 0
5)
I. 5×2 + 23x + 24 = 0
II. y2 + y – 6 = 0
6)
I. x2 + 42x + 432 = 0
II. 10y2 + 41y + 40 = 0
7)
I. x2 – 11x – 126 = 0
II. y2 + 30y + 161 = 0
8)
I. x2 – 24x – 145 = 0
II. y2 + 37y + 286 = 0
9)
I. x2 – 15x – 100 = 0
II. y2 + 15y + 54 = 0
10)
I. x – 2y = 0
II. x2 + x + ¼ = 0
11)
I. 7x + 4y = 63
II. 9x + y = 52
12)
I. x3 = 133 – 866
II. y3 = 431 + 92
13)
I. x2 – 40x + 396 = 0
II. y2 – 7y – 120 = 0
14)
I. x2 – 16x + 63 = 0
II. y2
– 8y + 15 = 0
16)
I. 3x – 4√x = 4
II. 5y = 2√(5y) + 8
17)
I. 45x – 14 = 25×2
II. 6y2 + 15 = 19y
18)
I. x2 + 23x + 120 = 0
II. y2 + 19y + 70 = 0
19)
I. x2 – 200x + 6400 = 0
II. y2 – 200y + 8400 = 0
20)
I. 10×2 – 33x + 20 = 0
II. 9y2 = 14 – 15y
21)
I. x2 – 8x + 7 = 0
II. y2 – 34y + 285 = 0
22)
I. 9x – 2y = 4
II. 4x + 3y = 29
23)
I. 6x
2 + 5x – 25 = 0
II. y2 + 32y + 247 = 0
24)
I. x2 – 13x + 42 = 0
II. y2 – 17y + 70 = 0
25)
I. x + 5y + 1 = 0
II. y2 – 15y + 26 = 0
26)
I. x2 – 15x + 54 =0
II. y2 – 9x + 18 = 0
27)
I. X3 x 13 = X2 x 247
II. Y1/3x 14 = 294 ÷ Y
2/3
28)
I. x2 – 28x + 192 = 0
II. y2 – 13y + 22 = 0
29)
I. 3x – 4 = √2x
II. 2y = √5y + 5
30)
I. 15×2 + 67x + 72 = 0
II. y2 – 3y – 418 = 0
31)
I. 4×2 + 5x + 1 = 0
II. y2 + 3y + 2 = 0
32)
I. x2 – 208 = 233
II. y2 + 47 – 371 = 0
33)
I. 2x
2 + x – 3 = 0
II. y2 – 13y + 42 = 0
34)
I. x2 + 11x – 152 = 0
II. y2 + 7y – 78 = 0
35)
I. x + 2y – 15 = 0
II. x2 + 12x + 20 = 0
36)
I. 8×2 + 49x + 45 = 0
II. 2y2 + 29y + 104 = 0
37)
I. x2 + 4x – 165 = 0
II. y2 – 35y + 300 = 0
38)
I. x2 – 14x – 95 = 0
II. 10y
2 – 11y – 6 = 0
39)
I. x2 – x – 42 = 0
II. y2 + 11y + 24 = 0
40)
I. 500 − 402 = 0
II. 360 − 200 0.5 = 0
MINI MOCK
(Set – 32)

1) What is the distance between C and D?
l. Point B is 33 m to the north of A. Point C is 56m to the east of B. Point E is 16m to the south
of Point A. Point D is 63m to the west of point E.
ll. Point C is 65m somewhere to the North-east of A. Point D is 65m to the south-west of A.
a) The data in statement I alone are sufficient to answer the question, while the data in
statement II alone are not sufficient to answer the question.
b) The data in statement II alone are sufficient to answer the question, while the data in
statement I alone are not sufficient to answer the question.
c) The data either in statement I alone or in statement II are sufficient to answer the question.
d) The data in both statements I and II together are necessary to answer the question alone
question.
e) The data given in both statements I and II together are not sufficient to answer.
2) How is Babita related to Jethalal?
l. Babuji has one son. The paternal uncle of Babita is married to Maher. Ratan is the grandson
of Jethalal. Navel is the father of Babita. Jethalal has only two sons. Babuji is the husband of
Maher.
ll. Maher is the daughter in law of Jethalal and wife of Babuji. Navel is the brother in law of
Maher. Babita and Ratan are cousins. Navel has only one child.
a) The data in statement I alone are sufficient to answer the question, while the data in
statement II alone are not sufficient to answer the question.
b) The data in statement II alone are sufficient to answer the question, while the data in
statement I alone are not sufficient to answer the question.
c) The data either in statement I alone or in statement II are sufficient to answer the question.
d) The data in both statements I and II together are necessary to answer the question alone
question.
e) The data given in both statements I and II together are not sufficient to answer.
3) How is the sentence “Did I know something” coded in the give language?
l. In same language, “You know nothing” is coded as “la na ka”, “l know Everything” is coded
as “ea ka ga”, “Did you know Something” is coded as “Da la ka sa”.
ll. In a certain code language, “Someone know something” is coded as “pa ka sa”, “None
know Everything” is coded as “ma ka ea”.
a) The data in statement I alone are sufficient to answer the question, while the data in
statement II alone are not sufficient to answer the question.
b) The data in statement II alone are sufficient to answer the question, while the data in
statement I alone are not sufficient to answer the question.
c) The data either in statement I alone or in statement II are sufficient to answer the question.
d) The data in both statements I and II together are necessary to answer the question alone
question.
e) The data given in both statements I and II together are not sufficient to answer.
4) There is a group of five buildings (A, B, C, D and E), how many of them are taller than D?
l. At least three Buildings are taller than building C. A is not the shortest Building. Building D
is taller than Building A.
ll. Building E is taller than Building B. Building A is taller than Building B. Building E is shorter
than Building D.
a) The data in statement I alone are sufficient to answer the question, while the data in
statement II alone are not sufficient to answer the question.
b) The data in statement II alone are sufficient to answer the question, while the data in
statement I alone are not sufficient to answer the question.
c) The data either in statement I alone or in statement II are sufficient to answer the question.
d) The data in both statements I and II together are necessary to answer the question alone
question.
e) The data given in both statements I and II together are not sufficient to answer.
5) Conclusions:
l. Some B is C.
II. No E are A.
Statements:
a) Some A is B. Some B is E. Some E is C.
b) Some E is A. Some A is B. Some A is C.
d) Some B is E. All E is C. All C is A.
d) Some B is A. Some A is C. Some C is E.
e) Some A is B. All A is C. No C is E.
6) Statements: L=M, F<R<T, P=N>K, M=F, R>K
Conclusions:
I. R=M
II. N=R
III. F<K
IV. M<T
a) Only I follow b) Only IV follow c) Only I and II follow
d) Only I and III follow e) Only II and IV follows
7) Statements: P<X=Y, R≤T, A≥L≥F, Y<T, R≥A
Conclusions:
I. T>F
II. A>P
III. T=F
IV. L<Y
a) Only I follow b) Only IV follow c) Only I and II follow
d) Only either I or III follow e) Only II and IV follows
The following questions are based on the five three – digit numbers given below:
684 512 437 385 296
8) If 2 is added to the first digit of each of the number then how many numbers thus
formed will be divisible by three?
(a) None (b) One (c) Two (d) Three (e) None of these
9) If all the digits in each of the numbers are arranged in descending order within the
number, which of the following will be the highest number in the new arrangement of
numbers?
(a) 684 (b) 385 (c) 296 (d) 437 (e) None of these
The following questions are based on the five three – digit numbers given below:
684 512 437 385 296
7) If 2 is added to the first digit of each of the number then how many numbers thus
formed will be divisible by three?
(a) None (b) One (c) Two (d) Three (e) None of these
8) If all the digits in each of the numbers are arranged in descending order within the
number, which of the following will be the highest number in the new arrangement of
numbers?
(a) 684 (b) 385 (c) 296 (d) 437 (e) None of these
Seven persons namely, A, B, C, D, E, F and G are sitting in
a row facing north from left end to right end. They have
different number of Books ranging from 1 to 10
(including 1 and 10) and each person has distinct
number of Books. The persons sitting consecutive to
each other don’t have their names beginning from the
consecutive letters as they appear in English
Alphabetical order or in reverse English Alphabetical
order. The following information is known about them:
1. The sum of the number of Books, that the persons
sitting consecutive to each other have, is not a even
number.
2. The person who has his name beginning from a
consonant doesn’t sits at the middle of the row.
3. D sits second to the right of F, who sits to the left of A.
4. G sits at the right end and the person having 5 Books
5. C has 4 Books.
6. The sum of number of Books owned by D and F is 10
with D having less number of Books.
7. A has the least number of Books.
8. The difference between the number of Books owned
by A ad B is 8.
9. G has higher number of Books than B.
MINI MOCK
(Set – 30)

Q1. Statements:
Some Recharge are shot.
No shot is thin.
Some thin is Pin
Conclusion:
(i) Some Pin are shot.
(ii) All Pin being shot is possibility.
(iii) All Pin is thin.
(a) Only (i) and (iii) follow
(b) Only (iii) follow
(c) Either (i) or (ii) follow
(d) All follow
(e) None of the above
Q2. Statements:
All Agra is Pune.
No Agra is Chennai.
Some Chennai is Lucknow.
Conclusion:
(i) Some Pune are not Chennai.
(ii) All Lucknow being Agra is a possibility.
(Iii) All Lucknow being Pune is a possibility.
(a) Only (i) and (iii) follow
(b) Only (iii) follow
(c) Either (i) or (ii) follow
(d) All follow
(e) None of these
Q3. Statements:
No Nisha is a Vani.
All Mahesh are Nisha.
Conclusion:
(i) Some Adi are not Vani is a possibility.
(ii) All Adi being Mahesh is a possibility.
(iii) All Mahesh being Adi is a possibility.
(a) Only (i) and (iii) follow
(b) Only (ii) and (iii) follow
(c) Either (i) or (ii) follow
(d) All follow
(e) None of these
Q4. Statements:
Some MI are Sony.
No Sony is Lenovo.
Some Lenovo is Moto G
Conclusion:
(i) All Moto G are Lenovo.
(ii) All MI being Lenovo is possibility.
(iii) All Lenovo being MI is a possibility.
(a) Only (i) and (iii) follow
(b) only (iii) follow
(c) Only (ii) and (iii) follow
(d) All follow
(e) None of these
Q5. Statements:
All Power is Point.
Some Power is not pen.
Some pen is pencils.
Conclusion:
(i) Some pencils being pen is a possibility.
(ii) All Point being Power is a possibility.
(iii) Some pencils are Point is a possibility.
(a) Only (i) and (iii) follow
(b) Only (iii) follow
(c) Either (i) or (ii) follow
(d) None follows
(e) Only (ii) and (iii)
Eight IT professionals Amit, Amitabh, Abhishek, Arun,
Ajay, Anoop, Abhinav and Arjun work in an IT firm. They
submit their laptops after workhours. The laptops are
kept in different lockers one above another and are
assigned sequence numbers 1-8 from bottom to top. The
laptops are of different make: Lenovo, Dell, Asus, Acer,
Apple, Sony, HP and Toshiba not necessarily in the same
order.
• The laptop owned by Arun is kept in locker that is at a
gap of three lockers from the locker containing the Asus
laptop.
• Arjun owns the Lenovo laptop and laptop has a
sequence number that is twice of the sequence number
of the laptop owned by Anoop.
• The HP laptop has a sequence number that is thrice of
the sequence number of the apple laptop
• 2 laptops are kept between the apple and the Acer
laptop and neither of the 2 laptops are kept in the
lowermost locker.
• Laptop owned by Amitabh is kept just above the dell
laptop
• Amit owns the laptop that is kept just below the Toshiba
Laptop
• The laptop owned by Abhishek is kept in a locker that is
2 lockers above the locker that contains Ajay’s laptop.
• 2 laptops are kept between Arun’s and Anoop’s laptop.
• Anoop does not own the Sony or the Dell Laptop
MINI MOCK
(Set – 31)

In the following questions, the symbols #, &, @ and \$ are used with the following meanings as illustrated below. Study the
following information and answer the given questions:
Note: The directions which are given indicates exact directions.
A@B – B is in the south direction of A at distance of 2m.
A#B – B is in the north direction of A at distance of 1m
A\$B – B is in the east direction of A at distance of 3m
A&B – B is in the west direction of A at distance of 4m.
A@\$B- B is in the southeast direction of A.
A@&B- B is in the southwest direction of A.
A#&B- B is in the northwest direction of A.
A#\$B- B is in the northeast direction of A.
1. If J@K\$L@&M@\$N#O are related to each other such that K and M are inline vertically and O and L are inline vertically
then what is the probable shortest distance between M and L when O is the midpoint of LN?
(a) √10 (b) 2√3 (c) 3√2 (d) 4√2 (e) None of these
In the following questions, the symbols #, &, @ and \$ are used with the following meanings as illustrated below. Study the
following information and answer the given questions:
Note: The directions which are given indicates exact directions.
A@B – B is in the south direction of A at distance of 2m.
A#B – B is in the north direction of A at distance of 1m
A\$B – B is in the east direction of A at distance of 3m
A&B – B is in the west direction of A at distance of 4m.
A@\$B- B is in the southeast direction of A.
A@&B- B is in the southwest direction of A.
A#&B- B is in the northwest direction of A.
A#\$B- B is in the northeast direction of A.
2. If J@K\$L@&M@\$N#O are related to each other such that K and M are inline vertically and O and L are inline vertically
then what is the probable shortest distance between N and P when P is to the east of O at a distance of 4m?
(a) √19 (b) √13 (c) √17 (d) √21 (e) None of these
‘A @ B’ means ‘A is greater than B’
‘A # B’ means ‘A is less than B’
‘A % B’ means ‘A is greater than or equal to B’
‘A & B’ means ‘A is less than or equal to B’
‘A ! B’ means ‘A is equal to B’
a). If only Conclusion I follows
b). If only Conclusion II follows
c). If either Conclusion I or Conclusion II follows
d). If neither Conclusion I nor Conclusion II follows
e). If both Conclusion I and Conclusion II follows
3).
Statement: P # L % C & V @ N & R ! S & O
Conclusion:
I). O @ N
II). N ! O
‘A @ B’ means ‘A is greater than B’
‘A # B’ means ‘A is less than B’
‘A % B’ means ‘A is greater than or equal to B’
‘A & B’ means ‘A is less than or equal to B’
‘A ! B’ means ‘A is equal to B’
a). If only Conclusion I follows
b). If only Conclusion II follows
c). If either Conclusion I or Conclusion II follows
d). If neither Conclusion I nor Conclusion II follows
e). If both Conclusion I and Conclusion II follows
4).
Statement: M & N ! F @ O # P % S & L @ K
Conclusion:
I). M # S
II). N @ K
‘A @ B’ means ‘A is greater than B’
‘A # B’ means ‘A is less than B’
‘A % B’ means ‘A is greater than or equal to B’
‘A & B’ means ‘A is less than or equal to B’
‘A ! B’ means ‘A is equal to B’
a). If only Conclusion I follows
b). If only Conclusion II follows
c). If either Conclusion I or Conclusion II follows
d). If neither Conclusion I nor Conclusion II follows
e). If both Conclusion I and Conclusion II follows
5).
Statement: P @ L % M ! N % H & B ! V & W
Conclusion:
I). W % H
II). P @ H
‘A @ B’ means ‘A is greater than B’
‘A # B’ means ‘A is less than B’
‘A % B’ means ‘A is greater than or equal to B’
‘A & B’ means ‘A is less than or equal to B’
‘A ! B’ means ‘A is equal to B’
a). If only Conclusion I follows
b). If only Conclusion II follows
c). If either Conclusion I or Conclusion II follows
d). If neither Conclusion I nor Conclusion II follows
e). If both Conclusion I and Conclusion II follows
6).
Statement: H @ S # O % E ! N & X # L % V @ Q
Conclusion:
I). O @ N
II). Q # L
‘A @ B’ means ‘A is greater than B’
‘A # B’ means ‘A is less than B’
‘A % B’ means ‘A is greater than or equal to B’
‘A & B’ means ‘A is less than or equal to B’
‘A ! B’ means ‘A is equal to B’
a). If only Conclusion I follows
b). If only Conclusion II follows
c). If either Conclusion I or Conclusion II follows
d). If neither Conclusion I nor Conclusion II follows
e). If both Conclusion I and Conclusion II follows
7).
Statement: P # L ! C # J % I @ U % S & X @ Q
Conclusion:
I). J @ S
II). P ! C
8 persons- P to W live in the same building. The building
has 6 floors and each floor has two flats. Each of the
floors has the same construction, so the flats can also be
said to be stacked in two columns. At least one of them
resides on each of the floors and exactly one of them
resides in each flat. Each of them had watched movie
Deadpool, but the number of times they watched it was
distinct, with 2 being the least and 9 being the highest
number of times watched by any one. It is also known
that: P, who watched Deadpool two more time than that
of S, lives on a floor just above that of U and along the
same column of the building. None among T and W is
along the same column of the building as that of V.
The one who watched Deadpool 8 times lives on a floor
alone in the building. The total number of times Deadpool
watched by the persons living at the top floor is 10. W and
V don’t live on two consecutive floors. No one lives on the
floor of R, who has watched Deadpool 7 times. No two
flats on the consecutive floors in the same column are
vacant. Q’s and S‘s flats are in the same column, and Q
lives at least two floors above that of S. The number of
floors between V’s flat and S‘s flat is same as the number
of floors between R’s and V’s flat, but are not on
consecutive floors to each other. The number of floors
between T’s and R’s flats is same as the number of floors
between W’s and U’s flat. If A lives below the floor of V,
then P definitely does not live alone on a floor.