Dear readers, here we are providing you a quiz on Inequality. Hope you like the post.
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Directions—(1-–5) In the following questions, the symbols @, $, %, # and © are used with the following meanings illustrated—
‘A @ B’ means ‘A is not smaller than B’.
‘A $ B’ means ‘A is not greater than B’.
‘A % B’ means ‘A is neither smaller than nor equal to B’.
‘A # B’ means ‘A is neither greater than nor equal to B’.
‘A © B’ means ‘A is neither smaller than nor greater than B’.
In each of the following questions assuming the given statements to be true, find out which of the two conclusions I and II given below them is/are definitely true. Give answer—
1] If only conclusion I is true.
2] If only conclusion II is true.
3] If either conclusion I or conclusion II is true.
4] If neither conclusion I nor conclusion II is true.
5] If both conclusions I and II are true.
1. Statements: A @ B, B # C, C $ D
Conclusions: I. D % A II. C % A
2. Statements: M $ N, N @ P, P % Q
Conclusions: I. P © M II. Q # N
3. Statements: E % F, F # G, G @ H
Conclusions: I. H # F II. E % G
4. Statements: J © K, K $ L, L % M
Conclusions: I. L © J II. L % J
5. Statements: W # X, X % Y, Y © Z
Conclusions: I. Z # X II. Y # W
Directions (6-10): Read each of the following statements carefully and answer the questions.
6. Which of the following expressions will be true if the given expression ' A> B ³ C <D < E' is definitely true?
(1) A ³ C
(2) E > C
(3) D ³ B
(4) A > D
(5) None of these
7. If the expressions 'E < J £ H > Z', 'H £ Y' and 'E > F' are true, which of the following conclusions will be definitely false?
(1) F < Y
(2) Y > E
(3) F < H
(4) J £ Y
(5) All are true
8. Which of the following symbols should replace the question mark in the given expression in order to make the expressions 'K £ H' and 'M > J' definitely true?
H > I = J ? K £ L < M
(1) > or =
(2) ³
(3) ≤
(4) Either < or £
(5) None of these
9. In which of the following expressions will the expression ‘P > S’ be definitely false?
(1) P > Q ³ R = S
(2) S £ R £ Q < P
(3) R = P > Q ³ S
(4) S > Q ³ R < P
(5) S < Q £ R < P
10. Which of the following symbols should be placed in the blank spaces respectively (in the same order from left to right) in order to complete the given expression in such a manner that ‘N < K’ definitely holds true?
K – L – M - N
(1) ³, =, >
(2) £, <, =
(3) <
(4) >, <
(5) None of these
Solutions (1-5)
1. (4)
2. (2 )
3. (4)
4. (3) J = K ≤ L
Either L = J or L > J
5. (1)
Ans (6-10)
6. (2)
7. (5)
F < E < J ≤ H ≤ Y, H > Z
1, F < Y is true
2. Y > E is true
3. F < H is true
4. J £ Y is true
8. (5)
9. (4)
10. (1)
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