PrepBharat

Data for Questions 1 to 4 : Five friends went to an exhibition. At a shooting stall there are three things to be shot at— balloons, coins and needles. The number of balloons shot are 1, 4, 5, 6 and 8, while the number of coins shot are 0, 1, 2, 4 and 6.
i. The number of coins shot by A is three times the number of coins shot by the person who shot 4 balloons.
ii. Three persons, including the one who shot four coins, did not shoot any needle.
iii. B did not shoot any needle.
iv. The one who shot one balloon did not shoot any needle or coin. Further he was not (c).
v. D shot balloons and coins but no needle.
vi. C who did not shoot any needle, shot half as many coins as the person who shot twice as many balloons as he did.
vii. E shot two more balloons than A, but A shot two more coins than E.

1. Which of the following is true?
a) C shot 8 balloons and 4 coins but no needles.
b) The person who shot 5 balloons and one coin shot some needles.
c) The person who shot an equal number of balloons and coins also shot needles.
d) The person who shot 4 balloons and 2 coins also shot needles.

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Answer: c
Explanation:


Option (c) is true for A. Hence (c)

2. Which of these is correct?
a) D shot 5 balloons
b) A shot 8 balloons
c) E shot 1 balloons
d) E shot 6 balloons

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3. Which of the following is true?
a) B shot 2 coins
b) C shot 4 coins
c) A shot 6 coins
d) D shot 4 coins

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4. The person who shot an equal number of coins and balloons is:
a) A
b) B
c) C
d) D

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Data for Questions 5 & 6 : The jailor of XYZ jail had 6 fruits—3 oranges, 2 apples andone pineapple. Four prisoners—101, 102, 103 and 104 are lined up one behind the other; the jailor helps them put the fruit on their head so that they cannot see the fruit kept on their head. Prisoner number 101 can see the fruit kept on the heads of 102, 103 and 104. Prisoner number 102 can see the fruit kept on 103’s and 104’s head. 103 can see the fruit kept on 104’s head. 104 cannot see any of the fruits since he is at the front of the line.
Now, the jailor asks the prisoners to tell the name of the fruit kept on their head. Neither of them could reply

5. What was the fruit on prisoner number 104’s head?
a) Orange
b) Apple
c) Pineapple
d) Cannot be determined

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Answer: a
Explanation: The following 19 possibilities emerge for what 101 could have seen. (Note: Be systematic while making this table.)



From the table above it is clear that if 101 had seen 2 apples and 1 pineapple he would have answered immediately. But since he doesn’t answer, possibilities 17, 18 or 19 can be ruled out.
102 also realises that 101 is not answering and hence rules out possibilities 17, 18 and 19. He considers what he sees on 103 and 104 in the context of possibilities 1–16. It can be seen from the table that if he had seen 2 apples, he would know that there was only Possibility 8 to consider. In such a case he would know that there was definitely an orange on his head. However, he does not answer. Thus, we can conclude that Possibility 8 is not possible. 103 realises that 102 is not answering and considers only possibilities 1–7 and 9–16.
Of these, we can realise that if he had seen an apple or a pineapple on 104 he would know that he had an orange on his head. But, since he doesn’t answer, we can eliminate Possibilities 6, 7, 9, 13 and 14. This leaves us with only Possibilities 1–5, 10–12 and 15–16. Hence:
104 must have an orange on his head. Option (a) is correct

6. Which of the following is definitely false?
a) Prisoner number 101 did not see two apples and one pineapple.
b) Prisoner number 102 did not see one apple and one pineapple or two apples.
c) Prisoner number 103 did not see pineapple or apple on prisoner number 104’s head
d) All are true.

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Data for Questions 7 to 10 : Four couples decided to play Holi. Each couple used three different colours. No two couples used the same combination of colours.
Asha, Bhavna, Chanchal and Divya are females whereas Pradeep, Qartar, Rajeev and Sanjay are males. The colours they use are red, green, yellow and black.
i. Chanchal, who is not the wife of Sanjay, used red colour.
ii. Pradeep’s wife used yellow and black colours but Qartar’s wife used only one of these colours.
iii. Asha is not the wife of Pradeep or Sanjay.
iv. Bhavna and Sanjay’s wife both used red and yellow colours.

7. Who among the following is Asha’s husband?
a) Pradeep
b) Qartar
c) Rajeev
d) Data inadequate

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Answer: c
Explanation: The starting grid in random order would be:


Using Clue (i) and Clue (iii), we can make some conclusions about Asha and Chanchal

Using Clues (ii) and (iv), we get some conclusions about the men and the colour combination theyused. (Note: We know Bhavna is not Sanjay’s wife because Clue (iv) mentions them as separate individuals).

From the above table (the wives column) it is clear that P, Q and R have to be shared amongst A, B and C in random order. Hence, Divya must be Sanjay’s wife.
The table evolves to:

From the above table, it is evident that Color Combination 4 belongs to Asha (as Color Combinations 1/2/3 are shared between Bhavna, Chanchal and Divya). Also, Chanchal would get ColorCombination 2 as it cannot go to any other woman.
The table now becomes:

At this stage Clue (ii) gives us that Qartar’s wife used only one colour out of yellow and black.
Hence, Asha (Color Combination 4) cannot be Qartar’s wife and thus must be Rajeev’s wife.
This means that P and Q must be shared between B and C. Since we know that Pradeep’s wife used yellow and black colours, Chanchal cannot be married to Pradeep (Chanchal’s colour combination does not use both the colours yellow and black). Thus Pradeep must be married to Bhavana. Thus, the table evolves to:

Rajeev. Option (c) is correct

8. Who is Qartar’s wife?
a) Asha
b) Chanchal
c) Divya
d) Data inadequate

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9. Which of the following is not correctly paired?
  Person        Colours
a) Qartar        Green, Yellow, and Black
b) Pradeep        Red, Yellow and Black
c) Rajeev        Green, Yellow and Black
d) All of the above

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10. Which of the following couples are incorrectly matched?
i. Asha & Rajeev
ii. Bhavna & Pradeep
iii. Chanchal & Sanjay
iv. Divya & Qartar
a) Both (i) & (ii)
b) All (i), (ii) & (iii)
c) Both (iii) & (iv)
d) All (ii), (iii) & (iv)

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