IIFT 2008 Question Paper

Instructions

For the following questions answer them individually

Question 31

Among Anil, Bibek, Charu, Debu, and Eswar, Eswar is taller than Debu but not as fat as Debu. Charu is taller than Anil but shorter than Bibek. Anil is fatter than Debu but not as fat as Bibek. Eswar is thinner than Charu, who is thinner than Debu. Eswar is shorter than Anil. Who is the thinnest person?

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Question 32

Pointing to a photograph Yuvraj says, “He is the only brother of the only daughter of my sister’s maternal grandmother.” Pointing to another photograph Sourav says, “he is the only brother of the only daughter of my sister’s maternal grandmother.” If among the two photographs,one was either of Sourav or Yuvraj, and the photograph, towards which Yuvraj was pointing,was not of Sourav, then how is Yuvraj related to Sourav?

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Question 33

DSBO Company produces Z units of output at a total cost of Rs. R, where $$R=\frac{1}{10}Z^{3}-5Z^{2}+10Z+5$$ At what level of output will the average variable cost attain its minimum?

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Question 34

If H$$_1$$ , H$$_2$$ , H$$_3$$ , ..., H$$_n$$ , are 'n' Harmonic means between ‘a’ and ‘b’ (≠ a), then value of $$\dfrac{H_{1}+a}{H_{1}-a}+\dfrac{H_{n}+b}{H_{n}-b}$$ is equal to

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Question 35

If $$(n+2)C_8:(n-2)P_4=57:16$$, then n =

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Question 36

Suppose a, b and c are in Arithmetic Progression and $$a^{2}, b^{2}$$ and $$c^{2}$$ are in Geometric Progression. If $$a<b<c$$ and a+b+c=$$\frac{3}{2}$$,, then the value of a=

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Question 37

If three positive real numbers a, b and c (c > a) are in Harmonic Progression, then log (a + c) + log (a - 2b + c) is equal to:

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Question 38

Sum of the series $$1^{2} - 2^{2} + 3^{2} - 4^{2} + ... + 2001^{2} - 2002^{2} + 2003^{2}$$ is:

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Question 39

The number of ways in which a mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game is:

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Question 40

The interior angles of a polygon are in Arithmetic Progression. If the smallest angle is 120° and common difference is 5°, then number of sides in the polygon is:

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