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CAT Latest Exam Pattern - CAT Sample Question with Solutions Page 94

(#M40008914) CAT QUESTION Keep an EYE

A ladder leans against a vertical wall. The top of the ladder is 8 m above the ground. When the bottom of the ladder is moved 2 m farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder?

Asked In CAT Vignesh (13 years ago)

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(#M40008913) CAT QUESTION Keep an EYE

A certain city has a circular wall around it, and this wall has four gates pointing north, south, east and west. A house stands outside the city, 3 km north of the north gate, and it can just be seen from a point 9 km east of the south gate. What is the diameter of the wall that surrounds the city?
a.6 km b.9 km c.12 km d.None of these

Asked In CAT Vignesh (13 years ago)

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(#M40008912) CAT QUESTION Keep an EYE

If a, b and c are the sides of a triangle, and a^2+b^2+c^2 = bc+ca+ab, then the triangle is
a.equilateral b.isosceles c.right-angled d.obtuse-angled

Asked In CAT Vignesh (13 years ago)

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(#M40008911) CAT QUESTION Keep an EYE

Consider a circle with unit radius. There are seven adjacent sectors, S1,S2,S3, ..., S7, in the circle such that their total area is 1/8 of the area of the circle. Further, the area of the jth sector is twice that of the (j–1)th sector, for j = 2, ..., 7. What is the angle, in radians, subtended by the arc of S1
at the centre of the circle?

Asked In CAT Vignesh (13 years ago)

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(#M40008910) CAT QUESTION Keep an EYE

ABCD is a rhombus with the diagonals AC and BD intersecting at the origin on the x-y plane. The equation of the straight line AD is x + y = 1. What is the equation of BC?

Asked In CAT Vignesh (13 years ago)

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(#M40008909) CAT QUESTION Keep an EYE

There is a square field of side 500 m long each. It has a compound wall along its perimeter. At one of its corners, a triangular area of the field is to be cordoned off by erecting a straight-line fence. The compound wall and the fence will form its borders. If the length of the fence is 100 m, what is the maximum area that can be cordoned off?

Asked In CAT Vignesh (13 years ago)

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(#M40008908) CAT QUESTION Keep an EYE

A milkman mixes 20L of water with 80L of milk. After selling one-fourth of this mixture, he adds water to replenish the quantity that he has sold. What is the current proportion of water to milk ?

Asked In CAT Vignesh (13 years ago)

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(#M40008907) CAT QUESTION Keep an EYE

Using only 2, 5, 10, 25 and 50 paise coins, what will be the minimum number of coins required to pay exactly 78 paise, 69 paise and Re 1.01 to three different persons

Asked In CAT Vignesh (13 years ago)

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(#M40008906) CAT QUESTION Keep an EYE

From each of two given numbers, half the smaller number is subtracted. Of the resulting
numbers the larger one is three times as large as the smaller. What is the ratio of the two
numbers?
(1) 2: 1
(2) 3: 1
(3) 3: 2
(4) None of these

Asked In CAT Vignesh (13 years ago)

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(#M40008905) CAT QUESTION Keep an EYE

After allowing a discount of 11·11 %, a trader still makes again of 14·28%. At how many
percent above the cost price does he mark on his goods?
(1) 28·56%
(2) 35%
(3) 22·22%
(4) None of these

Asked In CAT Vignesh (13 years ago)

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