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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}" ...

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CRACK THE CAT - EQUATIONS (MATHS)
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rahul_parab2006
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Post 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)
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Re: CRACK THE CAT - EQUATIONS (MATHS) - September 15th, 2006

1).......4
2).......4
3).......4
4).......1
5).......1



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rahul_parab2006
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Post 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].

keep answering...!


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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)
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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



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Smile Re: CRACK THE CAT - EQUATIONS (MATHS) - May 30th, 2007

its very nice......thanx 4 dis
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sukumar
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Re: CRACK THE CAT - EQUATIONS (MATHS) - May 30th, 2007

good job dude.. thanks
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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
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Re: CRACK THE CAT - EQUATIONS (MATHS) - February 12th, 2009

good job dude.,,,,,,,,. thanks a lot.....
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Ishan Kelvalkar
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Re: CRACK THE CAT - EQUATIONS (MATHS) - January 14th, 2013

More set please..
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