Reasoning Ability Quiz 2017 – Weight Puzzle and Inequalities | Set 7

Directions(Q. 1-6): Study the following information and answer the
Questions given below it:
A blacksmith has five iron articles A, B, C, D and E, each having a different
weight.
(i) A weighs twice as much as B.
(ii) B weighs four and a half times as much as C.
(iii) C weighs half as much as D.
(iv) D weighs half as much as E.
(v) E weighs less than A but more than C

1. Which of the following is the lightest in weight ?

A) A

B) B

C) C

D) D

E) E

2. E is lighter in weight than which of the other two
articles?

A) A, B

B) D, C

C) A, C

D) D, B

E) B, E

3. E is heavier than which of the following two articles ?

A) D, B

B) D, C

C) A, C

D) A, B

E) None of these

4. Which of the following articles is the heaviest in weight
?

A) A

B) B

C) C

D) D

E) E

5. Which of the following represents the descending order of
weights of the articles?

A) A, B, E, D, C

B) B, D, E, A, C

C) E, C, D, A, B

D) C, A, D, B, E

E) A, B, D, E, C

6. Which of the above given statements is not necessary to
determine the Correct order of articles according to their weights?

A) 1

B) 2

C) 3

D) 4

E) 5

Directions (Q. 7-11):
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.

7. Statements:

A @B,

B%D,

D©K

Conclusions:

I. A©K

II. B%K

A) If only conclusion I is true.

B) If only conclusion II is true.

C) If either conclusion I or conclusion II is true.

D) If neither conclusion I nor conclusion II is true.

E) If both conclusions I and II are true.

8. Statements:

M $ N,

N @ R,

T % R

Conclusions:

I. M @ R

II. T©R

A) If only conclusion I is true.

B) If only conclusion II is true.

C) If either conclusion I or conclusion II is true.

D) If neither conclusion I nor conclusion II is true.

E) If both conclusions I and II are true.

9. Statements:

J % K,

J # M,

M@ N

Conclusions:

I. M % J

II. K % N

A) If only conclusion I is true.

B) If only conclusion II is true.

C) If either conclusion I or conclusion II is true.

D) If neither conclusion I nor conclusion II is true.

E) If both conclusions I and II are true.

10. Statements:

J # K,

K©L,

P$L

Conclusions:

I. P$K

II. J#L

A) If only conclusion I is true.

B) If only conclusion II is true.

C) If either conclusion I or conclusion II is true.

D) If neither conclusion I nor conclusion II is true.

E) If both conclusions I and II are true.

11. Statements:

A @ B,

B # C,

D $ E

Conclusions:

I. C © A

II. C % A

A) If only conclusion I is true.

B) If only conclusion II is true.

C) If either conclusion I or conclusion II is true.

D) If neither conclusion I nor conclusion II is true.

E) If both conclusions I and II are true.

1. Sol.

Let the weight of E be x kg

weight of A =2.25 x kg

weight of B =1.125 x kg

weight of C =0.25 x kg

weight of D =0.5 x kg

weight of E = x kg

Now the increasing order of weights is,

C < D < E < B < A

Lightest in weight = C

2. Sol. Let the weight of E be x kg

weight of A =2.25 x kg

weight of B =1.125 x kg

weight of C =0.25 x kg

weight of D =0.5 x kg

weight of E = x kg

Now the increasing order of weights is,

C < D < E < B < A

E is lighter than A,B

3. Sol. Let the weight of E be x kg

weight of A =2.25 x kg

weight of B =1.125 x kg

weight of C =0.25 x kg

weight of D =0.5 x kg

weight of E = x kg

Now the increasing order of weights is,

C < D < E < B < A

E is heavier than C, D

4. Sol. (i) A weighs 2 B

(ii) B weighs 4.5 C

(iii) C weighs 0.5 D

(iv) D weighs 0.5 E

(v) A > E > C

D weights 0.5 E and B weights 4.5 (0.5D) —> 2.25 D
—-> Therefore , B > D

Also B > E because B weights 2.25 (0.5E) —-> 1.125 E

Now concluding all the five statements A > B > E >
D > C<d<e<b

</d<e<b

5. Sol. Let the weight of E be x kg weight of A =2.25 x kg

weight of B =1.125 x kg

weight of C =0.25 x kg

weight of D =0.5 x kg

weight of E = x kg

Now the increasing order of weights is,

C < D < E < B < A

Decreasing order of weights is A > B > E > D > C

6. Sol. Let the
weight of E be x kg weight of A =2.25 x kg

weight of B =1.125 x kg

weight of C =0.25 x kg

weight of D =0.5 x kg

weight of E = x kg

Now the increasing order of weights is,

C < D < E < B < A

(v) statement is not required

7. Sol. Statements: A >B > D = K

8. Sol. Statements: M < N > R
< T

9. Sol. Statements: K < J < M > N

10. Sol. Statements: J < K = L > P

11. Sol. Statements: A > B < C, D < E