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Frequently Asked cat Latest Exam Pattern - cat Sample Question with Solutions Page 32

(#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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(#M40020026) CAT QUESTION Keep an EYE

The compound interest on a certain sum for 2 years is 40.80 and the S.I. is Rs.40.find the sum?

Asked In CAT (12 years ago)

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(#M40010328) CAT QUESTION Keep an EYE

The ratio of the cost prices of two articles A and B is 4:5.The articles are sold at a profit with their selling prices being in the ratio 5:6.If the profit on article A is half of its cost price,find the ratio of the profits on the articles A and B?

Asked In CAT Devendra Marghade (13 years ago)

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(#M40029278) CAT QUESTION CAT quant Keep an EYE

Let g(x) be a function such that g(x + 1) + g(x – l) = g(x) for every real x. Then for what value of p is the relation g(x + p) = g(x) necessarily true for every real x?
(1) 5
(2) 3
(3) 2
(4) 6

Asked In CAT (12 years ago)

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(#M40152968) CAT QUESTION quant Keep an EYE

In a triangle ABC, points P1, Q1, R1 divide the lines AB, BC and AC respectively in the ratio 3 : 2 each. In the triangle P1 Q1 R1, the points P2, Q2 and R2 divide the sides P1Q1, Q1R1 and P1R1 in the ratio 3 : 2 each. A new triangle is constructed by joining the points on the sides of triangle P2Q2R2 that divide these sides in the ratio 3 : 2. This process of forming triangles continues infinitely. Find the ratio of the area of triangle P1Q1R1 to the sum of the areas of all the formed/constructed triangles (P2Q2R2, P3Q3R3…) whose areas are smaller than the area of the triangle P1Q1R1.

Asked In CAT S B HARISH (10 years ago)

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(#M40009797) CAT QUESTION Keep an EYE

There are 6 task 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 to person 4. Every person is to be assigned one task. In how many ways can the assignment be done ?

Asked In CAT Devendra Marghade (13 years ago)

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(#M40029272) CAT QUESTION CAT quant Keep an EYE

Let S be the set of five digit numbers formed by the digits 1, 2, 3, 4 and 5, using each digit exactly once such that exactly two odd positions are occupied by odd digits. What is the sum of the digits in the rightmost position of the numbers in S?
(1) 228
(2) 216
(3) 294
(4) 192

Asked In CAT (12 years ago)

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(#M40021722) CAT QUESTION Keep an EYE

four sisters-Suvarna, Tara, Uma and Vihba are playing a game such that the loser doubles the money of each of the other players from her share, They played four games and each sister lost one game in alphabetical order, At the end of fourth game, each sister had Rs.32. How much money did Suvarna start with ?

Asked In CAT chandreyee chowdhury (12 years ago)

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(#M40010358) CAT QUESTION Keep an EYE

a cow was standing on a bridge,5m away from middle of the bridge.a train was coming towards the bridge from the end nearest to the cow.seeing this the cow ran towards the train and managed to escape when the train was 2m away frm the bridge.if it had run in the opposite direction (away frm train) it would have been hit by the train 2m before the end of the bridge.what is the length of bridge in meters assuming speed of train is 4times that of the cow...

Asked In CAT deepika (13 years ago)

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(#M40010400) CAT QUESTION Keep an EYE

If the sum of three distinct natural numbers is 25. What is the maximum value of their product?

Asked In CAT Devendra Marghade (13 years ago)

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