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Placement Papers with Solutions

(#M40021058) CAT QUESTION Keep an EYE

A square tin sheet of side 12 inches is converted into a box with open top in the following steps the sheet is placed horizontally. Then, equal sized squares, each of side x inches, are cut from the four corners of the sheet. Finally, the four resulting sides are bent vertically upwards in the shape of a box. If x is an integer, then what value of x maximizes the volume of the box?
option
(1) 3
(2) 4
(3) 1
(4) 2

Asked In CAT Alok Kumar (12 years ago)

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(#M40021057) CAT QUESTION Keep an EYE

A piece of paper is in the shape of a right angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was a 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 34 square inches before the cut, what is the area (in square inches) of the smaller triangle?

(1) 16.665

(2) 16.565

(3) 15.465

(4) 14.365

Asked In CAT Alok Kumar (12 years ago)

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(#M40021056) CAT QUESTION Keep an EYE

Which one of the following cannot be the ratio of angles in a right-angled triangle ?

a. 1 : 2 : 3

b. 1 : 1 : 2

c. 1 : 3 : 6

d. None of these

Asked In CAT Alok Kumar (12 years ago)

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(#M40021055) CAT QUESTION Keep an EYE

The diameter of a hollow cone is equal to the diameter of a spherical ball. If the ball is placed at the base of the cone, what portion of the ball will be outside the cone?

(a) 50%

(b) less than 50%

(c) more than 50%

(d) 100%

Asked In CAT Alok Kumar (12 years ago)

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(#M40021054) CAT QUESTION Keep an EYE

The length of a ladder is exactly equal to the height of the wall it is learning against. If lower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m away from the wall, the upper end of the ladder coincides with the top of the wall. Then the height of the wall is

a. 12 m

b. 15 m

c. 18 m

d. 11 m

Asked In CAT Alok Kumar (12 years ago)

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(#M40021053) CAT QUESTION Keep an EYE

The points of intersection of three lines 2X + 3Y - 5 = 0, 5X - 7Y + 2 = 0 and 9X - 5Y - 4= 0

a. form a triangle

b. are on lines perpendicular to each other

c. are on lines parallel to each other

d. are coincident

Asked In CAT Alok Kumar (12 years ago)

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(#M40021051) CAT QUESTION Keep an EYE

A square is drawn by joining the midpoints of the sides of a given square. A third square is drawn inside the second square in the same way and this process is continued indefinitely. If a side of the first square is 8 cm, the sum of the areas of all the squares such formed (in sq.cm.)is

(a) 128

(b) 120

(c) 96

(d).None of these

Asked In CAT Alok Kumar (12 years ago)

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(#M40020030) CAT QUESTION Keep an EYE

A survey was conducted of 100 people to find out whether they had read recent issues of Golmal, a monthly magazine. The summarized information regarding readership in 3 months is given below:

Only September: 18
September but not August: 23
September and July: 8
September: 28
July: 48
July and August: 10
None of the three months: 24

What is the number of surveyed people who have read exactly two consecutive issues (out of the three)?


(1) 7
(2) 9
(3) 12
(4) 14
(5) 17

Asked In CAT Alok Kumar (12 years ago)

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(#M40020028) BOOK QUESTION Keep an EYE

There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or to person 2; task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?

Asked In Book Alok Kumar (12 years ago)

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