symbolic operations Model Questions & Answers, Practice Test for ssc chsl tier 1

Directions:

In the following questions, the symbols @, #, $, © and % are used with the following meaning as illustrated below :

  • 'P@ Q' means ‘P is not smaller than Q’,
  • 'P# Q' means ‘P is not greater than Q’.
  • 'P$ Q' means ‘P is neither greater than nor equal to Q’.
  • 'P© Q' means ‘P is neither smaller than nor equal to Q’.
  • 'P% Q' means ‘P is neither smaller than nor greater than Q’.

Now in each of the following questions, assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true.

  • Give answer (a) if only conclusion I is true.
  • Give answer (b) ifonlyconclusion II is true.
  • Give answer (c) if either conclusion I or conclusion II is true.
  • Give answer (d) if neither conclusion I nor conclusion II is true.
  • Give answer (e) if both conclusions I and II are true.
Question :16

Statements: H © M, M @ E, E $ C


Conclusions:
I. C@M
II. H©E

Answer: (d)

H © M ⇒ H > M
M @ E ⇒ M @ E ⇒ M ≥ E
E $ C ⇒ E < C

Hence, H > M E < C

Conclusions :

I. C @ M ⇒ C ≥ M (False)
II. H © E ⇒ H > E (True)

Question :17

Statements: N@J, J%R, R©H


Conclusions:
I. R#N
II. N©H

Answer: (e)

N @ J ⇒ N ≥ J
J % R ⇒ J = R
R © H ⇒ R > H

Hence, N ≥ J = R > H

Conclusions :

I. R # N ⇒ R ≤ N (True)
II. N © H ⇒ N > H (True)

Question :18

Statements: % V $ W, W@T, T#H


Conclusions:
I. V©T
II. H%W

Answer: (c)

V $ W ⇒ V < W
W @ T ⇒ W ≥ T
T # H ⇒ T ≤ H

Hence, V < W ≥ T ≤ H

Conclusions :

I. V © T ⇒ V > T ( False)
II. H % W ⇒ H = W ( False)

Question :19

Statements: J#R, R©D, D@F


Conclusions:
I. F$R
II. F%R Mathematical Operation B-107

Answer: (c)

J # R ⇒ J ≤ R
R © D ⇒ R > D
D @ F ⇒ D ≥ F

Hence, J ≤ R > D ≥ F

Conclusions :

I. F $ R ⇒ F < R (False)
II. F % R ⇒ F = R (False)

Question :20

Statements: L@K, K©A, A$W


Conclusions:
I. W$L
II. L#W

Answer: (c)

L @ K ⇒ L ≥ K
K © A ⇒ K > A
A $ W ⇒ A < W

Hence, L ≥ K > A < W

Conclusions :

I. W $ L ⇒ W < L (False)
II. L # W ⇒ L d W ( False)

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