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1.

Rakhal is looking for a field where he can graze his cow. He finds a local farmer, Gopal, who agrees to rent hi field to Rakhal for Rs. 1000 a year. Rakhal finds a post in the field and ties his cow to the post with a 25 feet rope. After some months, Gopal tells Rakhal that he will build a shed with four walls on the field with the post as one of the corner posts. The shed would be 15 feet by 10 feet. Rakhal agrees but he realizes that this arrangement would reduce the available area for grazing. What should be the modified rent to compensate for this loss of grazing area if Rakhal has to keep the cow tied to the same post with the same rope? (2 marks)

(1) Rs. 800
(2) Rs. 880
(3) Rs. 888
(4) Rs. 930
(5) None of the above

last reply by CpjJwWHV • 13 years ago • asked in XAT

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2.

In a city, there is a circular park. There are four points of entry into the park, namely - P, Q, R and S. Three paths were constructed which connected the points PQ, RS, and PS. The length of the path PQ is 10 units, and the length of the path RS is 7 units. Later, the municipal corporation extended the paths PQ and RS past Q and R respectively, and they meet at a point T on the main road outside the park. The path from Q to T measures 8 units, and it was found that the angle PTS is 60° . Find the area (in square units) enclosed by the paths PT, TS, and PS. (2 marks)
(1) 36√3
(2) 54√3
(3) 72√3
(4) 90√3
(5) None of the above

asked in XAT

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3.

A tank internally measuring 150cm × 120cm × l00cm has 1281600cm³ water in it. Porous bricks are placed in the water until the tank is full up to its brim. Each brick absorbs one tenth of its volume of water. How many bricks, of 20cm × 6cm × 4cm, can be put in the tank without spilling over the water?
(1) 1100
(2) 1200
(3) 1150
(4) 1250
(5) None of the above

asked in XAT

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4.

Let S₁ , S₂ ,... be the square such that for each n ≥ 1, the length of the diagonal of Sn is equal to the length of the side of S_n+1 . If the length of the side of S₃ is 4 cm, what is the length of the side of S_n ?
1). 2^(2n+1)/2
2). 2(n-1)
3). 2^n-1
4). 2^(n+1)/2
5). None of these

asked in XAT

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