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# CRACK THE CAT - EQUATIONS (MATHS)

Discuss CRACK THE CAT - EQUATIONS (MATHS) within the Quant forums, part of the CAT, XAT, MAT, CET, JMET and other Indian MBA Entrance Exams category; INSTRUCTIONS :- 1. In the question number 4, "pi" means "22/7 or 3.14". 2. In the question number 3, "x{4}" ...

 CRACK THE CAT - EQUATIONS (MATHS)
rahul_parab2006

Financial Analyst at CMC Ltd

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CRACK THE CAT - EQUATIONS (MATHS) - September 11th, 2006

INSTRUCTIONS :-
1. In the question number 4, "pi" means "22/7 or 3.14".
2. In the question number 3, "x{4}" states "x raised to 4"

1) Two numbers are such that one is ‘x’ less than 43 and the other is ‘x’ greater than 34. If product of both the numbers is 1482, find the smaller number.

1] 39
2] 38
3] 19
4] Unique value can not be determined

2) If the product of two integers, (x-4) and (x-5), is negative, then which of the following values can x have?

1] -4
2] -3
2] 2
4] No such x exists

3) One of the factors of x{4} + 3x{3} – 2x{2} – 3x + 1 = 0 is x – [a + {route}13] / 2. Given that (x + 1) and (x – 1) are two of the factors, find a.

1] -1
2] 1
3] 0
4] 3

4) Numerically, the area of a certain circle is greater than its circumfearence by 48 pi. Find the area (insquare units).

1] 64 pi
2] 36 pi
3] 100 pi
4] 25 pi

5) If a quadratic equation ax{2} + bx + c = 0 has one of its roots as 5 + {route} 7, where a, b and c are rational numbers, find the equation.

1] x{2} – 10x + 18 = 0
2] x{2} – 5x + 18 = 0
3] x{2} – 10x – 9 = 0
4] x{2} – 5x + 18 = 0

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 Re: CRACK THE CAT - EQUATIONS (MATHS)
 (2 (permalink)) maheshbhatacharya   Status: Offline Posts: 21 Join Date: Aug 2006 Re: CRACK THE CAT - EQUATIONS (MATHS) - September 15th, 2006 1).......4 2).......4 3).......4 4).......1 5).......1 To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts. To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts. Friends: (0)
 Re: CRACK THE CAT - EQUATIONS (MATHS)
rahul_parab2006

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Re: CRACK THE CAT - EQUATIONS (MATHS) - September 16th, 2006

Quote:
 Originally Posted by maheshbhatacharya 1).......4 2).......4 3).......4 4).......1 5).......1
Answers for Q. 2, 3, 4 & 5 r rite...dude !

Explanation for Q.1 :-

First number = (34+x)
Second number = (43-x)
Product of the two numbers :-
(34+x) (43+x) = 1482
1462 + 9x - x{2} = 1482
x{2} - 9x + 20 = 0
(x-5 )(x-4) = 0
x = 5 or x= 4.

If x=5, first number is 39 & second number is 38.

Where as, if x = 4, first number is 38 & the second number is 39.

Hence, the smaller number is 38.
Hence, option 2].

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Last edited by rahul_parab2006; September 16th, 2006 at 08:51 PM..

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 Re: CRACK THE CAT - EQUATIONS (MATHS)
 (4 (permalink)) maheshbhatacharya   Status: Offline Posts: 21 Join Date: Aug 2006 Re: CRACK THE CAT - EQUATIONS (MATHS) - September 16th, 2006 well my 4th answer too was right......u failed to notice that......well never mind....can we hav the next set of questions please To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts. To view links or images in signatures your post count must be 0 or greater. You currently have 0 posts. Friends: (0)
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 (5 (permalink)) renne   Status: Posts: n/a Re: CRACK THE CAT - EQUATIONS (MATHS) - May 30th, 2007 its very nice......thanx 4 dis
 Re: CRACK THE CAT - EQUATIONS (MATHS)
 (6 (permalink)) sukumar    Institute: NA Status: Offline Posts: 6 Join Date: May 2007 Re: CRACK THE CAT - EQUATIONS (MATHS) - May 30th, 2007 good job dude.. thanks Friends: (0)
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 (7 (permalink)) binoyvincent    Institute: College of Engineering, Chengannur Status: Offline Posts: 1 Join Date: Apr 2008 Re: CRACK THE CAT - EQUATIONS (MATHS) - April 8th, 2008 Fourth option for first question. 19 * 78 = 1482 Also 38 * 39 = 1482 19 < 43 & 78 > 34 38 < 43 & 39 > 34 Friends: (0)
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 (8 (permalink)) ed1968   Management Paradise Newbie  Institute: PES Status: Offline Posts: 111 Join Date: Feb 2009 Re: CRACK THE CAT - EQUATIONS (MATHS) - February 12th, 2009 good job dude.,,,,,,,,. thanks a lot..... Friends: (0)
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 (9 (permalink)) Ishan Kelvalkar   Marketing Executive at Narrative Pictures Management Paradise Newbie Status: Offline Posts: 149 Join Date: Nov 2012 Re: CRACK THE CAT - EQUATIONS (MATHS) - January 14th, 2013 More set please.. Friends: (0)

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