Table of Contents
INEQUALITIES (Set – 6)
In a flow between two elements all symbols
should fall from the same group.
> <
≥ ≤
=
> <
≥ ≤
=
Going L→ R use the same sign/symbol as given,
But going L R use the opposite sign/symbol
from the opposite group of the same priority.
Directions for questions:
P @Q means P is either greater than or equal to Q
P+ Q means P is either smaller than or equal to Q
P%Q means P is greater than Q
PX Q means P is smaller than Q
P$ Q means P is neither greater than nor smaller than Q
Now in each of the questions assuming the given statements to be true, find which of the
conclusions given below them is/are definitely true?
1) Statements : M @R , R%T , T$ K
Conclusion :
I) KXM
II) MXT
III) R%K
Directions for questions:
P @Q means P is either greater than or equal to Q
P+ Q means P is either smaller than or equal to Q
P%Q means P is greater than Q
PX Q means P is smaller than Q
P$ Q means P is neither greater than nor smaller than Q
Now in each of the questions assuming the given statements to be true, find which of the
conclusions given below them is/are definitely true?
2) Statements : D$M, M%W, W@R
Conclusion :
I) RXD
II) W+D
( % ) > < ( X )
( @ ) ≥ ≤ ( + )
=
( $ )
Directions for questions:
P @Q means P is either greater than or equal to Q
P+ Q means P is either smaller than or equal to Q
P%Q means P is greater than Q
PX Q means P is smaller than Q
P$ Q means P is neither greater than nor smaller than Q
Now in each of the questions assuming the given statements to be true, find which of the
conclusions given below them is/are definitely true?
3) Statements : A+N , NXV, V$J
Conclusion:
I) J@N
II) A +V
( % ) > < ( X )
( @ ) ≥ ≤ ( + )
=
( $ )
Directions for questions:
P @Q means P is either greater than or equal to Q
P+ Q means P is either smaller than or equal to Q
P%Q means P is greater than Q
PX Q means P is smaller than Q
P$ Q means P is neither greater than nor smaller than Q
Now in each of the questions assuming the given statements to be true, find which of the
conclusions given below them is/are definitely true?
4) Statements : KXT , T@B , B+M
Conclusion :
I)M%T
II) K+B
( % ) > < ( X )
( @ ) ≥ ≤ ( + )
=
( $ )
Directions for questions:
P @Q means P is either greater than or equal to Q
P+ Q means P is either smaller than or equal to Q
P%Q means P is greater than Q
PX Q means P is smaller than Q
P$ Q means P is neither greater than nor smaller than Q
Now in each of the questions assuming the given statements to be true, find which of the
conclusions given below them is/are definitely true?
5) Statements : B@H, HXM , M$N
Conclusion :
I) B@N
II) N%H
( % ) > < ( X )
( @ ) ≥ ≤ ( + )
=
( $ )
Directions for questions:
In the questions #, *, @, $ and & are used with the meanings as illustrated below:
‘A*B’ means ‘A is greater than B’
‘A$B’ means ‘A is greater than or equal to B’
‘A#B’ means ‘A is equal to B’
‘A@B’ means ‘A is less than B’
‘A&B’ means ‘A is less than or equal to B’
Now in each of the questions assuming the given statements to be true, find which of the
conclusions given below them is/are definitely true?
6) Statements: P&Q, Q$M, M&T
Conclusions:
I. P&T
ll. P$T
Directions for questions:
In the questions #, *, @, $ and & are used with the meanings as illustrated below:
‘A*B’ means ‘A is greater than B’
‘A$B’ means ‘A is greater than or equal to B’
‘A#B’ means ‘A is equal to B’
‘A@B’ means ‘A is less than B’
‘A&B’ means ‘A is less than or equal to B’
Now in each of the questions assuming the given statements to be true, find which of the
conclusions given below them is/are definitely true?
7) Statements: S@B, B&R
Conclusions:
I. R$S
ll. R@S
( * ) > < ( @ )
( $ ) ≥ ≤ ( & )
=
( # )
Directions for questions:
In the questions #, *, @, $ and & are used with the meanings as illustrated below:
‘A*B’ means ‘A is greater than B’
‘A$B’ means ‘A is greater than or equal to B’
‘A#B’ means ‘A is equal to B’
‘A@B’ means ‘A is less than B’
‘A&B’ means ‘A is less than or equal to B’
Now in each of the questions assuming the given statements to be true, find which of the
conclusions given below them is/are definitely true?
8) Statements: F&I, T$I, Y#I
Conclusions:
I. F@Y
ll. F#Y
( * ) > < ( @ )
( $ ) ≥ ≤ ( & )
=
( # )
Directions for questions:
In the questions #, *, @, $ and & are used with the meanings as illustrated below:
‘A*B’ means ‘A is greater than B’
‘A$B’ means ‘A is greater than or equal to B’
‘A#B’ means ‘A is equal to B’
‘A@B’ means ‘A is less than B’
‘A&B’ means ‘A is less than or equal to B’
Now in each of the questions assuming the given statements to be true, find which of the
conclusions given below them is/are definitely true?
9) Statements: E$J, T*E
Conclusions:
I. T&J
ll. T*J
( * ) > < ( @ )
( $ ) ≥ ≤ ( & )
=
( # )
Directions for questions:
In the questions #, *, @, $ and & are used with the meanings as illustrated below:
‘A*B’ means ‘A is greater than B’
‘A$B’ means ‘A is greater than or equal to B’
‘A#B’ means ‘A is equal to B’
‘A@B’ means ‘A is less than B’
‘A&B’ means ‘A is less than or equal to B’
Now in each of the questions assuming the given statements to be true, find which of the
conclusions given below them is/are definitely true?
10) Statements: C@D, D@N, N@X
Conclusions:
I. C@X
ll. D#X
( * ) > < ( @ )
( $ ) ≥ ≤ ( & )
=
( # )
20
IMPORTANT PUZZLES
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
is known about them.
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
adjacent and they form the only pair which is vertically adjacent
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
adjacent and they form an only pair which is vertically adjacent
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.
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