Reasoning: Inequalities Questions for Upcoming Exams – Set 8

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Direction (1-5): In the following questions, the symbols #, *, %, @ and © are used with the following meaning:

‘P * Q’ means ‘P is not greater than Q’.
‘P @ Q’ means ‘P is not greater than or equal to Q’.
‘P © Q’ means ‘P is not smaller than Q’.
‘P % Q’ means ‘P is not smaller than or greater than Q’.
‘P # Q’ means ‘P is neither smaller than nor equal to Q’.

  1. Statements: R © K, K # M, M * J
    Conclusions:
    I. J # K,              
    II. M @ R
    A) only I follows
    B) only II follows
    C) either I or II follows  
    D) neither I nor II follow
    E) both I and II follow
    View Answer
    Option B  
  2. Statements: W © K, K # R, R % N
    Conclusions:
    I. N @ K 
    II. W # N
    A) only I follows
    B) only II follows
    C) either I or II follows
    D) neither I nor II follow
    E) both I and II follow
    View Answer
    Option E 
  3. Statements: D @ K, K % F, F © B
    Conclusions:
    I.  F # D,
    II. B % K          
    A) only I follows
    B) only II follows
    C) either I or II follows
    D) neither I nor II follow
    E) both I and II follow
    View Answer
    Option A
  4. Statements: R # B, B © N, N @ T
    Conclusions:
    I. T # B,
    II. N @ R
    A) only I follows
    B) only II follows
    C) either I or II follows
    D) neither I nor II follow
    E) both I and II follow
    View Answer
    Option B
  5. Statements: H * W, W @ N, N % R
    Conclusions:     
    I. R # W,
    II. H * R
    A) only I follows
    B) only II follows
    C) either I or II follows
    D) neither I nor II follow
    E) both I and II follow
    View Answer
    Option A 

 

  1. 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 both ‘X > V’ and ‘Z < W’ definitely holds true? X > U ≥ Z ? V ? T ≤ W
    A) >, <
    B) =, =
    C) =, <
    D) >, =
    E) ≥, ≤
    View Answer
    Option C
    Solution:
    X > U ≥ Z = V < T ≤ W
  2. Which of the following expressions is definitely true if the expressions M < T and P > R are definitely false?
    A) K > M = R > S ≤ T = P
    B) M ≥ K > R = S < T ≤ P
    C) K > M = R < S ≤ T = P
    D) R = S ≤ P > T ≥ M = K
    E) None of these
    View Answer
    Option D
    Solution:
    Definitely false in D because in D) M ≤ T not M < T and P ≥ R not P > R  
  3. 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 ‘T > R’, ‘P < S’ and ‘R ≤ M’ definitely holds true? T > S ? C ≥ R ? P ? M
    A) >, >, <
    B) >, =, <
    C) ≥, =, ≤
    D) >, =, ≤
    E) Other than those given as options
    View Answer
    Option D
    Solution:
    T > S > C ≥ R = P ≤ M
  4. If the expressions M > Y ≥ N and Y < K, N = S are true. which of the following expressions is not definitely true?
    A) S < M
    B) M ≥ K
    C) K > S
    D) N < K
    E) None of these
    View Answer
    Option E 
    Solution:
    M > Y < K
    So we cannot say about the relationship between M and K
    So cannot be said as definitely false
  5. Which of the following expressions will definitely be true if the expressions ‘X < Y = W’ and ‘Y > V’ are true?
    A) X = Z = W ≤ T < Y ≥ R > V
    B) X ≤ Z < Y = W ≥ R > V
    C) X ≥ Z = Y > W < R > V
    D) X = Z > Y ≥ W = R > V
    E) None of these
    View Answer
    Option B

Click here for more practice questions on Inequalities

 

 

32 thoughts on “Reasoning: Inequalities Questions for Upcoming Exams – Set 8”

  1. Diya

    Which of the following expressions is definitely true if the expressions M R are definitely false?

    A) K > M = R > S ≤ T = P

    B) M ≥ K > R = S M = R T ≥ M = K

    E) None of these
    anyone explain it

          1. Shubhra

            what u dint get ?

            definitely false is to be find out na

            so jis option me definite hi ho that yes false hai, mark only that

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