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XAT Quants Questions




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Q #6
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Quants Question

Directions: Read the following information to answer the question.

What does the following graph represent?

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Y = sin |x| satisfies the given graph.

    If x = 0, y = 0

    If x = π/2, y = 1

    If x = π, y = 0

    If x = π/2, y = sin |-π/2| = sin π/2 = 1

    If x = π, y = sin |-π| = 0

    If x = 3π/2, y = sin |-3π/2| = -1

 


Q #7
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Quants Question

Directions : These questions are based on the data given below.

Sudheer has certain number of toffees between 80 and 100 with him. If he distributes them equally among all his 4 children, there will be 3 left. If he distributes them equally among his wife and children, he is left with four toffees. If he decides to distribute the toffees amongst himself, his wife and children how many will be left over?

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Solution.The number of toffees will be {(LCM of 4&5)k-1}i.e, 20k-1 since this is the number between 80 and 100, it can only be for k = 5 or 99 toffees. If they are divided among 6 people, there will be three left. Choice (3)

Q #8
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Quants Question

Directions : These questions are based on the data given below.

Malini and Shalini play a game in which they first write down the first n natural numbers and then take turns in inserting plus or minus signs between the numbers. When all such signs have been placed the resulting expression is evaluated (i.e., the additions and subtractions are performed) Malini wins if the sum is even and Shalini wins if the sum is odd. Assuming that the concept of even and odd is defined for all integers (i.e. even and odd parties), which of the following statements is true?

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The party (even or odd) of the expression will be the same as that of the sum of the first n natural numbers. Hence we need to check the party of n(n + 1)/2 n(n + 1)/2 is certainly even only when n is a multiple of 4 and for no other statement can a definite conclusion be drawn. so Malini wins if n is a multiple of 4.

Q #9
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Quants Question

Directions : These questions are based on the data given below.

When numbers are written to the base 11, how many two – digit numbers are possible which are thrice the numbers formed by reversing their respective digits?

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Q #10
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Quants Question

Directions : These questions are based on the data given 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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