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133.

Read the following information carefully and answer the questions ::
A warship and a submarine (completely submerged in water) are moving horizontally in a straight line. The Captain of the warship observers that the submarine makes an angle of depression of 30°, and the distance between them from the point of observation is 50 km. After 30 minutes, the angle of depression becomes 60°.

[1]	Find the distance between them after 30 min from the initial point of reference. A. 50/√3 km B. 25 km C. 25/√3 km D. 25√3 km

[2]	If both are moving in same direction and the submarine is ahead of the warship in both the situations, then the speed of the warship, if the ratio of the speed of warship to that of the submarine is 2 : 1, is: A. 100/√3 km/hr B. 100√3 km/hr C. 200√3 km/hr D. 200/√3 km/hr

asked in IIFT

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134.

In 2006, Raveendra was allotted 650 shares of Sun Systems Ltd in the initial public offer. At the face value of Rs.10 per share. In 2007, Sun Systems declared the bonus at the rate of 3 : 13. In 2008, the company again declared the bonus at the rate of 2 : 4. In 2009, the company declared a dividend of 12.5%. How much dividend does Raveendra get in 2009 as a percentage of his initial investment?

A. 24.5%
B. 23.9%
C. 24.1%
D. 23%

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135.

Aditya, Vedus and Yuvraj alone can do a job in 6 weeks, 9 weeks and 12 weeks respectively. They work together for 2 weeks. Then Aditya leaves the job. Vedus leaves the job a week earlier to the completion of the work. The job would completed in:

A. 4 weeks
B. 5 weeks
C. 7 weeks
D. None of the above

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136.

Mr. Raheja, the president of Alpha Ltd., a construction company, is studying his company‟s chances of being awarded a Rs. 1000 crore bridge building contract in Delhi. In this process, two events interest him. First, Alpha‟s major competitor Gamma Ltd, is trying to import the latest bridge building technology from Europe, which it hopes to get before the deadline of the award of contact. Second, there are rumors that Delhi Government is investigating all recent contractors and Alpha Ltd is one of those contractors, while Gamma Ltd is not one of those. If Gamma is able to import the technology and there is no investigation by the Government, then Alpha‟s chance of getting contract is 0.67. If there is investigation and Gamma Ltd is unable to import the technology in time, the Alpha‟s chance is 0.72. If both events occur, then Alpha‟s chance of getting the contract is 0.58 and if none events occur, its chances are 0.85. Raheja knows that the chance of Gamma Ltd being able to complete the import of technology before the award date is 0.80. How low must the probability of investigation be, so that the probability of the contract being awarded to Alpha Ltd is atleast 0.65? (Assume that occurrence of investigation and Gamma‟s completion of import in time is independent to each other.)
A. 0.44
B. 0.57
C. 0.63
D. 0.55

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137.

Let A₁ be a square whose side is "a" metres. Circle C₁ circumscribes the square A such that all its vertices are on C₁. Another square A₂ circumscribes C₁. Circle C₂circumscribes A₂, and A₃ circumscribes C₂, and so on. If D_N is the area between the square A_N and the circle C_N, where N is a natural number, then the ratio of the sum of all D_N to D₁ is:
A. 1
B. π/2 -1
C. Infinity
D. None of the above

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138.

A card is drawn at random from a well shuffled pack of 52 cards.
X: The card drawn is black or a king.
Y: The card drawn is a club or a heart or a jack.
Z: The card drawn is an ace or a diamond or a queen.
Then which of the following is correct?
A. P(X) > P(Y) > P(Z)
B. P(X) >= P(Y) = P(Z)
C. P(X) = P(Y) > P(Z)
D. P(X) = P(Y) = P(Z)

asked in IIFT

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