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cat Latest Exam Pattern - cat Sample Question with Solutions Page 95

(#M40008904) CAT QUESTION Keep an EYE

There are two containers: the first contains 500 ml of alcohol, while the second contains 500 ml
of water. Three cups of alcohol from the first container is taken out and is mixed well in the
second container. Then, three cups of this mixture is taken out and is mixed in the first
container. Let A denote the proportion of water in the first container and B denote the proportion
of alcohol in the second container. Then,
(1) A>B
(2) A

Asked In CAT Vignesh (13 years ago)

Unsolved Read Solution (4)

Is this Puzzle helpful?   (5)   (6) Submit Your Solution Alligation or Mixture

(#M40008903) CAT QUESTION Keep an EYE

Let the number of white vessels needed be n! for the emptying process described above, if the
volume of each white vessel is 2litres. Among the following values, which is the least upper
bound on n! ?
(1) m/4
(2) smallest integer greater than or equal to n/2
(3) n
(4) Greatest integer less than or equal to 1/4

Asked In CAT Vignesh (13 years ago)

Unsolved

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(#M40008889) CAT QUESTION Ages Keep an EYE

Without counting Saturdays and Sundays, my grandfather said he was 84 years old. How old my grandfather really was?

Solution

Without counting Saturday and Sunday total days in a week = 5
so real age of grandfather = 84*7/5 = 84*1.4 = 117.6 year

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Asked In CAT Vignesh (13 years ago)

Solved Read Solution (2)

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(#M40008888) CAT QUESTION Explain Keep an EYE

If n is an odd integer then the last two digits in base ten of 2^2n * (2^(2n+1) -1) are
I. 18 II. 28 c. 38

a. Only I
b. Only I & II
c. Only II
d. Only I, II & III
e. None of the above

Asked In CAT Vignesh (13 years ago)

Unsolved Read Solution (1)

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(#M40008884) CAT QUESTION Keep an EYE

Find the number of coins, 1.5 cm in diameter and 0.2 cm thick, to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm.

(1) 425 (2) 450

(3) 550 (4) None of these.

Asked In CAT Vignesh (13 years ago)

Solved Pargat Pal Singh Read Solution (2)

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(#M40008883) CAT QUESTION Keep an EYE

A bucket in the form of a frustum of a right circular cone is 48 cm deep and the radii of the top and bottom are 20 cm and 16 cm respectively. The volume of water it will hold is

Asked In CAT Vignesh (13 years ago)

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(#M40008881) CAT QUESTION Keep an EYE

A circular disc of diameter 9 cm is cut in the center and a circular hole is generated. If the weight of the disc is reduced by one third, then the diameter of the hole is:

(1)14.3 cm
(2)13.5 cm
(3)12.4 cm
(4)None of the above

Asked In CAT Vignesh (13 years ago)

Solved Pargat Pal Singh Read Solution (3)

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(#M40008880) CAT QUESTION Keep an EYE

The corners of an equilateral triangle of side 10cm each are cut to form a regular hexagon. The area of the hexagon is:

Asked In CAT Vignesh (13 years ago)

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(#M40008879) CAT QUESTION Keep an EYE

In a rectangular plot 160 m*120 m, a square tank of side 40 m is dug out a depth of 8 m. The earth so dug out is evenly spread to cover the remaining area, by how much has the level of plot has been raised?

Asked In CAT Vignesh (13 years ago)

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(#M40008878) CAT QUESTION Keep an EYE

The radius of a hemisphere is 7 cm. Find the altitude of a right circular cone of the same base radius and same total surface area.

Asked In CAT Vignesh (13 years ago)

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