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Q #6
:

Directions: Refer the data given below to answer the following questions.

6 students at CAV sat down to discus a MoCAT. They sat in a circle, with a girl between any 2 boys. After some time, a girl – Taby, walked out, and the two girls who remain are Sandhya and Shikha, Amit, a faculty at CAV notices that

  • Three of the students wore blue t-shirts and the other 2 wore red t-shirt.
  • 3 students wore sandals, while the other 2 wore sneakers.
  • Sandhya was in a blue denim trouser (jeans).
  • One student who wore sandals wore a Khaki trouser, the others wore blue denim trousers (jeans)
  • Aseem either wore a blue t-shirt or wore a Khaki trouser.
  • It is known that if Sandhya wears a red t-shirt, then Shikha wears a blue t-shirt.
  • The person earing a Khaki trouser wore a red t-shirt
  • When Shikha walked out to meet Amit, the number of students wearing blue and red t-shirts was equal. Amit notices that Shikha wore sandals.
  • Naveen sat between the two girls, and Aseem sat to the left of Shikha. Sandhya sat to the left of Sharma.
  • The two people wearing red t-shird were separated by a boy who wore sneakers.

Who wore sneakers?

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The answer is: Indeterminate

Q #7
:

Directions: Refer the data given below to answer the following questions.

6 students at CAV sat down to discus a MoCAT. They sat in a circle, with a girl between any 2 boys. After some time, a girl – Taby, walked out, and the two girls who remain are Sandhya and Shikha, Amit, a faculty at CAV notices that

  • Three of the students wore blue t-shirts and the other 2 wore red t-shirt.
  • 3 students wore sandals, while the other 2 wore sneakers.
  • Sandhya was in a blue denim trouser (jeans).
  • One student who wore sandals wore a Khaki trouser, the others wore blue denim trousers (jeans)
  • Aseem either wore a blue t-shirt or wore a Khaki trouser.
  • It is known that if Sandhya wears a red t-shirt, then Shikha wears a blue t-shirt.
  • The person earing a Khaki trouser wore a red t-shirt
  • When Shikha walked out to meet Amit, the number of students wearing blue and red t-shirts was equal. Amit notices that Shikha wore sandals.
  • Naveen sat between the two girls, and Aseem sat to the left of Shikha. Sandhya sat to the left of Sharma.
  • The two people wearing red t-shird were separated by a boy who wore sneakers.

Other than Shikha, who wore sandals?

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The answer is: Indeterminate

Q #8
:

Directions: Refer to the data below.

A fortune teller has a unique way of predicting his customer’s prognosis. He has three parrots kept in three different cages. Each cage also has three cards with a single digit non zero number inscribed on every card. No two cards have the same number and no cage contains two cards with digits totaling ten. Further, the total of the three cards in the first cage is greater by two than the second cage and by four than the third cage. When a customer asks for a prognosis, the fortune teller lets out the three parrots which randomly pick out one card out of their respective cages. Before the prognosis is made, the fortune teller totals the digits on the three cards picked out and charges the customer the same number of rupees as the total of the cards. One day a customer paid seven rupees for his prognosis.

What is the lowest payment possible?

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The lowest payment possible = 2 + 3 + 1 = Rs. 6

Q #9
:

Directions: Refer to the data below.

A fortune teller has a unique way of predicting his customer’s prognosis. He has three parrots kept in three different cages. Each cage also has three cards with a single digit non zero number inscribed on every card. No two cards have the same number and no cage contains two cards with digits totaling ten. Further, the total of the three cards in the first cage is greater by two than the second cage and by four than the third cage. When a customer asks for a prognosis, the fortune teller lets out the three parrots which randomly pick out one card out of their respective cages. Before the prognosis is made, the fortune teller totals the digits on the three cards picked out and charges the customer the same number of rupees as the total of the cards. One day a customer paid seven rupees for his prognosis.

What is the maximum possible that one cay pay?

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The maximum payment possible = 9 + 8 + 7 = Rs. 24

Q #10
:

Directions: Refer the following data to answer the questions given below.

This game is played by two people. Put 18 dots on a black board or on paper. Each player is to erase 1, 2 or 3 dots in his playing turn. Turns alternate between the two players, i.e. player 1 takes turn 1, then player 2 takes turn 2, then player 1 takes turn 3, and so on. You need not chose a number and stay with it. 

For instance, you might erase 1 dot on your firs turn, 2 dots on your second, 1 dot on your third and 3 dots on your fourth turn. The player who erases the last dot loses. You make the first move, and both players play intelligently, and you win.

What is the number of dots that were erased in turns 1, 2 and 3 together?

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Explanation: Always 1 less in the last move. And for each successive move, less is (maximum that can be drawn + 1) Hence 19, 15, 11 and 7. (Note that it is because every move made by 1 can be squared off to 4. i.e. 1 + maximum draw).