Logical Series and Inequalities
Directions (Q.1-5): In each of the following questions, two rows of numbers are given. The resultant numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the questions below the rows of numbers are to be answered. The operations of numbers progress from the left to right.
I. If an odd number is followed by another composite odd number, they are to be added
II. If an even number is followed by an odd number they are to be added.
III. If an even number is followed by a number which is the perfect square, the even number is to be subtracted from the perfect square.
IV. If an odd number is followed by a prime odd number the first number is to be divided by the second number.
V. If an odd number is followed by an even number, the second one is to be subtracted from the first number.
1). 17 10 25
P 3 5
If ‘P’ is the resultant of the first row, what will be the resultant of second row?
e) None of these
2). 12 64 17
20 S 16
If ‘S’ is the resultant of the first row, what will be the resultant of second row?
c) 101
e) None of these
3). 65 13 35
16 19 R
If ‘R’ is the resultant of the first row, what will be the resultant of second row?
d) 148
e) None of these
4). 22 5 3
K 8 33
If ‘K’ is the resultant of the first row, what will be the resultant of second row?
e) None of these
5). 52 81 15
H 3 14
If ‘V’ is the resultant of the first row, what will be the resultant of second row?
b) 137
c) 151
e) None of these
Directions (Q. 6-10):
In each of the following questions, a relationship between different elements is shown in the statements. The statements are followed by two Conclusions numbered I and II. Study the conclusions based on the given statements and select the appropriate answer.
Given answer a) if both conclusions I and II are true
Given answer b) if neither conclusion I nor II is true
Given answer c) if only conclusion I is true
Given answer d) if either conclusion I or II is true
Given answer e) if only conclusion II is true
6). Statement: A > G ≤ I = V ≤ Q
Conclusions:
7). Statement: P > Q >I ≤ N = T ≤ S
Conclusions:
II. I ≤ S
8). Statements: Q ≤ R =S > T ≥ U; Z > S ≤ Y
Conclusions:
I. Q ≤ Y
9). Statements: Y < J = P ≥ R > I
Conclusions:
10). Statements: V ≥ K > M = N; M > S; T < K
Conclusions:
1)c 2)e 3)c 4)a 5)d 6)c 7)e 8)a 9)c 10)b
Explanation:
Directions (Q. 1-5):
Conditions:
(17 -10)= 7; (7+ 25) = 32 èP=32
(32+ 3)=35; (35/ 5) = 7
(64-12)= 52; (52+ 17) = 69 èS=69
(20+69) = 89; (89-16) = 73
(65/13) = 5; (5+35) = 40 èR= 40
(16 +19) = 35; (35-40) = -5
(22+5) =27; (27 /3) = 9 è K=9
(9-8) = 1; (1+ 33) = 34
(81-52) =29; (29+15) = 44 è H=44
(44+3) = 47; (47-14) = 33
A > G ≤ I = V ≤ Q
Conclusions:
I. Q ≥ G : True
II. A > V : Not true
P > Q >I ≤ N = T ≤ S
Conclusions:
I. N > P : Not true
II. I ≤ S : True
Q ≤ R =S > T ≥ U; Z > S ≤ Y
Q ≤ R =S ≤ Y
Z > S > T ≥ U
Conclusions:
I. Q ≤ Y : True
II. Z > U : True
Y < J = P ≥ R > I
Conclusions:
I. J > I : True
II.Y< R : Not true
V ≥ K > M = N; M > S; T < K
T < K > M = N
V ≥ K > M > S
Conclusions:
I. T < N : Not true
II. V = S : Not true
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