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?
Let C’s weight be x. Then, D’s weight = 2x, E’s weight = 4x, B’s weight = 4.5x and
A’s weight = 9x.
So, the order of weights is A > B > E > D > C.
1. (c) C is the lightest in weight.
2. E is lighter in weight than which of the other two articles?
3.E is heavier than which of the following two articles?
4. Which of the following articles is the heaviest in weight?
5. Which of the following represents the descending order of weights of the articles?
6. Which of the above given statements is not necessary to determine the correct order of articles according to their weights?
Directions (Q.7-11): Read the following information and answer the questions given below it:
(i) Seven students P, Q, R, S, T, U and V take a series of tests.
(ii) No two students get similar marks.
(iii) V always scores more than P.
(iv)P always scores more than Q.
(v) Each time either R scores the highest and T gets the least, or alternatively S scores the highest and U and Q scores the least.
7. If S is ranked sixth and Q is ranked fifth, which of the following can be true?
8. If R gets most, V should be ranked not lower than
Q, so in the maximum, P and Q will occupy fifth and sixth places. Thus, V will not rank lower than fourth.
9. If R is ranked second and Q is ranked fifth, which of the following must be true?
10. If S is ranked second, which of the following can be true?
11. If V is ranked fifth, which of the following must be true?
Directions (12-15): Study the information given below and answer the questions that follow:
(i) A, B, C, D, E and F are six students in a class.
(ii) B and C are shorter than F but heavier than A.
(iii) D is heavier than B and taller than C.
(iv) E is shorter than D but taller than F.
(v) F is heavier than D.
(vi)A is shorter than E but taller than F.
12. Who among them is the tallest?
In terms of height, we have : B < F, C < F, C < D, E < D, F < E, A < E, F < A.
So, C < F < E < D, B < F, F < A < E.
Thus, the sequence becomes : B < C<F < A < E < D or C <B < F < A < E < D.
In terms of weight, we have : A < B, A < C, B < D, D < F.
So, A < B < D < F, A < C.
Thus, the sequence becomes :
A < C < B < D < F or A < B < C < D < F12. (c) Clearly, D is the tallest.
13. Who is third from the top when they are arranged in descending order of heights?
Clearly, A is third from the top.
14. Which of the following groups of friends is shorter than A?
15. Which of the following statements is true for F as regards height and weight?