Logical Reasoning Capsules - Edwin Jose, CAT DILR 100 Percentiler - Set 2
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DIRECTIONS : Answer the questions on the basis of the information given below.
It is a game based on the position you take in a clock. You are at the 1 O’clock position. You can move one step clockwise, 1 step anti clockwise or to a place that is diametrically opposite yours. For example, from 1 O’clock if you move clockwise you will be at 2 O’clock. As you start the game, you are at 1 O’clock position and your score is 1. If you move a step clockwise, add the value of the time in that position to your score to give you the new score. If you move a step anticlockwise, add the value of the time in that position and subtract 2 from your score. If you move a step diametrically opposite, add the value of the time in that position to your score and subtract 4 from your score to get the new score. You cannot get back to a position that you have already visited.
(1) What will be your minimum score after the third move?
(a) 10
(b) 7
(c) 11
(d) None of these(2) What will be your maximum score after the second move?
(a) 16
(b) 18
(c) 20
(d) 24(3) If you had moved a step anticlockwise in the first move, you could not have reached one of the following positions in the third move.
(a) 10 O’clock
(b) 5 O’clock
(c) 7 O’clock
(d) 6 O’clock(4) What is the shortest number of moves that you require to reach the 5 O’clock position When you start from 1 O’clock position?
(a) 4
(b) 3
(c) 5
(d) 2Solutions:
The following table gives the moves that can be made for the mentioned conditions. The underlined positions indicate your position after nth move.
(1) d
(2) c
(3) d By moving a step anticlockwise in the first move, you reach at 12 O’clock. From here you can reach
10’O Clock through 12 – 11 - 10
5 ‘O clock through 12 – 6 – 5
7 ‘O Clock through 12 – 6 – 7. But you cannot reach 6 ‘O Clock.
(4) bA man said to a lady, “Your mother’s husband’s sister is my aunt.” How is the lady related to the man?
(a) Mother
(b) Aunt
(c) Sister
(d) GrandmotherYour mother’s husband ⇒ your father.
Your father’s sister ⇒ your aunt.
So, the lady’s aunt is the man’s aunt ⇒ the man and the lady are brother and sister.If P + Q means P is the brother of Q, P–Q means P is the mother of Q and P * Q means P is the sister of Q. Which of the following means M is the maternal uncle of R, if you can assume a third person K to be involved in establishing the relationship?
(a) M - K * P
(b) M + K * R
(c) M + K - R
(d) M + K + RM is the maternal uncle of R means m is the brother of R‘s mother (say K) i.e., M + K – R.