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Q #26
:

Directions: Select the correct alternative from the given choice.

A person has to find out a three-digit number by guessing. Whenever he guesses a number, the following clues are give.

  • Waste : no digit is correct
  • Cat : one digit is correct but in the wrong position
  • Bull : one digit is correct and in the correct position.

The following are his guesses and the clues. 

  1. 203 cat
  2. 947 waste
  3. 798 cat
  4. 613 waste
  5. 450 cat
  6. 632 bull

What is the actual number?

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It is most helpful to start from the "waste"

    9, 4, 7, 6, 1, 3 are definitely not there is the number and considering the bull 632, 2 must be the correct digit in the correct position.

    The number is -- 2.

    Considering 203 cat,     0 is also not present in the correct number, since 2 is the correct number (but in the wrong place).

    Now considering 650 cat,    5 is the correct number in the wrong place.

    The number is 5 – 2, from answer choices it is 582


Q #27
:

Directions: Select the correct alternative from the given choice.

A wife and her husband invite 8 couples to their house and assign each person (including) themselves) a number between 1 and 18. The host (wife) assigned the number 1 to herself. The couples start dancing.

If the sum of the number given to each of the couples adds upto a perfect square, what is the number given to the partner of the person who was assigned the number?

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The only possible pairings are 18 – 7 – 8, 16 – 9, 15 – 1, 14 + 2, 13 – 2, 12 – 4, 11 – 5 and 10 – 6.

    5 is paired with 11.


Q #28
:

Directions: Select the correct alternative from the given choice.

Two players Ravi and Rakesh write the number 1 to 17 on the board and take turns in striking them out. The challenge was that the players took turns striking out 1 or 2 numbers at each turn and the player who was able to strike out the last number left on the board won.

If Rakesh plays first, how many numbers should he strike out in his first chance to definitely win the game?

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Here each person can strike out either 1 or 2 numbers at each turn. ?the magic No. a winning Number could be 3K numbers after Rakesh’s turn is over. The nearest multiple of 3 close to 17 is 15, therefore Rakesh has to strike out 2 numbers on his first turn to assure himself of a win.

Q #29
:

Directions: Select the correct alternative from the given choice.

Five men – A, B, C, D and E – are married to five women – P, Q, R, S and T – not necessarily in that order. Each of these five married couples stays in only one and a differentiate out of the following cities – Hyderabad, Delhi, Mumbai, Kolkata and Chennai. Also, it is known that A doesn't stay in Delhi and his wife is not S.R, who stays in Mumbai, is not married to E.B, who is married to T, does not stay in Kolkata. P, who stays in Chennai, is not married to C.

If A and his wife stay in Hyderabad, then which of the following statements must be false?

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Q is married to E, who stays in Chennai.

Q #30
:

Directions: Select the correct alternative from the given choice.

Each of the four sportsmen  -Anand, Bharat, Chander and Dilip – takes part in each of the following games – Racing, Long Jump, High Jump and Swimming, getting different ranks. No two persons get the same rank in any game and no person gets the same rank in any two games. It is also known that Bharat who is 2nd in Racing, is 1st in High Jump, but not 3rd in Long Jump. The person, who is first in Swimming, is either 3rd or 4th in Racing, but is neither Chander nor Anand.

If Anand is 2nd in Long Jump and 3rd in High Jump, then which of the following order represents the name of the persons who are ranked 2nd in Long Jump, 1st in Racing, 4th in Swimming and 3rd in High Jump respectively?

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