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Statement and Conclusion - Solved Reasoning Aptitude Test Questions with Answers for Bank Exams

Questions

Directions (Qs. 16-20): In the follojwing questions, the symbols @, #, $,* and & are used as illustrated below:

‘P # Q’ means ‘P is not smaller than Q’.

‘P $ Q’ means ‘ P is neither smaller than nor greater than Q’.

‘P @ Q’ means ‘P is neither greater than nor equal to Q’.

‘P * Q’ means ‘P is not greater than Q’.

‘P & Q’ means ‘P is neither smaller than nor equal to Q’.

Now, im 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.
B if only Conclusion II is true.
C if either Conclusion I or II is true.
D if neither Conclusion I nor II is true.
E if both Conclusion I and II are true.

16 
	Statements:	B $ K, K @ D, D # M

	Conclusions:	I. B $ M
			II. B @ M

Answer: Option [D]

B = k.......(i); K < D ......(ii); D > M ..... (iii)

From (i) and (ii), we get

D > K = B .............. (iv)

From (iii) and (iv), no specific relation can be obtained between B and M. Therefore, B = M (conclusion I) and B < M (conclusion II) are not necessarily true.

17 
	Statements:	H @ N, N & W, W # V
    
	Conclusions:	I. H @ V
			II. V @ N

Answer: Option [B]

H < N ........(i); N > W ........ (ii); W ≥ V .......... (iii)

From (ii) and (iii), we get

N > W ≥ V ........ (vi)

From (i) and (iv), no specific relation can be obtained between H and V. Hence, H < V (Conclusion I) is not necessarily true. But V < N (Conclusion II) follows from equation (iv).

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18 
	Statements:	J * D, Q # D, Q @ M
    
	Conclusions:	I. Q & J
			II. Q $ J

Answer: Option [C]

J ≤ D ........ (i); Q ≥ D ..... (ii); Q < M ....... (iii)

Combining (i) and (ii), we get

Q ≥ D ≥ J

=> Q > J (Conclusion I) or Q = J (Conclusion II)

Hence, either conclusion I or Conclusion II is true

19 
	Statements:	F # G, N $ G, N $ T

	Conclusions:	I. T & R
			II. N * F

Answer: Option [B]

F ≥ G ......... (i); N = G ............... (ii); N > T ............... (iii)

Combining all, we get

F ≥ G = N > T

=> N ≤ F (Conclusion II) and T < F

Hence, conclusion I (T > F) is not true but conclusion II is true.

20 
	Statements:	M & R, R @ K, K $ T

	Conclusions:	I. T & R
			II.  T & M

Answer: Option [A]

M > R ..................(i); R < K .......... (ii); K = T ................. (iii)

Combining (ii) and (iii), we get

K = T > R

=> T > R (Conclusion I).

On the basis of the given information no specific relation can be obtained between T and M. Hence, T > M (Conclusion II) is not necessarily true.

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