u needn go by divisiblity rules . since number of the form 517xy just subs 00
for x&y and u get a reminder of 80 . so 51709 is div by 89 and 51709+89=51798 
also divi by 89. so ans s two forms 51709 and 51798



2q) since when divided by three ermin is always 1 or 2 even if its a sqr of tat
num ans is either 1 or 2

--- In ascent4cat@yahoogroups.com, "vikramjeet_1986" <vikramjeet_1986@...>
wrote:
>
>
> 1. find all the numbers of the form  517XY  that are divisible by
> 89                  [P27Q4]
>    I am facing problem since 89 is a prime number and i can factorize
> 89 to apply divisibility rules.
>
>    do mention if you have any other method to solve these ques.
>
> 2. The square of a number greater that 1000 that is not divisible by
> three, when divided by three,  leaves a remainder
> of
> [P39Q52]
>    a) 1 always      b) 2 always      c) 0      d) either 1 or 2
> e) cannot be said
>

33.
Let
ABCD be a quadrilateral such that angle ABC = angle BCD = 120 , and AB
= 3 BC = 4 and CD = 5 , then area of quadrilateral ABCD is
a) 57
b) 67
c) 87
d) (47 )/4


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35.
How many 3 digit numbers have at least one 4 and at least one 6.
a) 49
b) 62
c) 52
d) 64
e) 58


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Let f be a function such that f(x) + 2f(2009/x) = 3x for all x >0. Then value of
f(2) is
a) 2001
b) 2009
c) 2007
d) 2006
e) None of these


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Q. Let d no. of students in three sections be a,b,c respectively.  a>2b>3c and
average age per student in three sections is 20,30,50 respectively.Which of d
following cannot be the avg age per student of all three sections
A)29
B)28
C)27
D)26
E)25

plzz tell me answer with d xplanation

27.
Let f(x) = x 2 + x +1  , where x > 0 , then minimum value of  f(x) + f(1/x) is
a) 8
b) 2
c) 3
d) 6
28.
Let x, y, and z be real numbers such that x – 7y + 8z = 4, and 8x + 4y – z =
7 , then       x 2 – y 2  + z 2     is
a) 1
b) 4
c) 8
d) 7
If a , b and , such that a 2 + 2b = 7 ; b 2 + 4c = -7 and c 2 + 6a = -14  then
value of  a 2 + b 2 + c 2 is
a)16b)49c)14d)19e)22


A rubber band is 4 metres long, a insect begins to crawl from the left end of
the rubber band . Every minute the insect crawls 1 meter along the rubber band
towards the left end of the rubber band, but the rubber band gets stretched
(uniformly)  by 1 meter . For what value of n will the insect reach the left end
of the rubber band during the n th minute?
a)6b)8c)7   d)9e)11



How many 5 digit numbers abcde exist such that the digits b, d are each the sum
of the digits on their immediate left and right i.e. b = a +c and d = c + e
a)330  b)400c)339d)332



Triangle ABC is right angled at A. D is a point on AB such that CD = 1. AE is
the altitude   from A to BC. If BD = BE = 1, what is the length of AD?


a)( 3√ 3 – 2)b)( 3√ 2 – 1)c)( 3√ 4 – 1)d)( 3√ 3 – 1)e)None of
these


.
For how many integers a (1 ≤ a ≤200) is the number a a   a perfect square?
a) 109
b) 107
c) 110
d) 119




.
Let a n   be a sequence of positive integers such that  an+2 = an+1 + an for n =
1, 2, . . . , 8
If  a10 = 2002 , then number of  such sequences  which are possible is
a) 5
b) 7
c) 3
d) 8
e) 2


Let S 2009   = 2009 +  ½(2008 + ½(2007 + . .+ ½( 3 + ½(2)). .)  then value
of  S 2009 is
a) 2009
b) 2007
c) 2008
d) 2006
27.
Let f(x) = x 2 + x +1  , where x > 0 , then minimum value of  f(x) + f(1/x) is
a) 8
b) 2
c) 3
d) 6
28.
Let x, y, and z be real numbers such that x – 7y + 8z = 4, and 8x + 4y – z =
7 , then       x 2 – y 2  + z 2     is
a) 1
b) 4
c) 8
d) 7
If a , b and , such that a 2 + 2b = 7 ; b 2 + 4c = -7 and c 2 + 6a = -14  then
value of  a 2 + b 2 + c 2 is
a)16b)49c)14d)19e)22


A rubber band is 4 metres long, a insect begins to crawl from the left end of
the rubber band . Every minute the insect crawls 1 meter along the rubber band
towards the left end of the rubber band, but the rubber band gets stretched
(uniformly)  by 1 meter . For what value of n will the insect reach the left end
of the rubber band during the n th minute?
a)6b)8c)7   d)9e)11



How many 5 digit numbers abcde exist such that the digits b, d are each the sum
of the digits on their immediate left and right i.e. b = a +c and d = c + e
a)330  b)400c)339d)332



Triangle ABC is right angled at A. D is a point on AB such that CD = 1. AE is
the altitude   from A to BC. If BD = BE = 1, what is the length of AD?


a)( 3√ 3 – 2)b)( 3√ 2 – 1)c)( 3√ 4 – 1)d)( 3√ 3 – 1)e)None of
these


.
For how many integers a (1 ≤ a ≤200) is the number a a   a perfect square?
a) 109
b) 107
c) 110
d) 119




.
Let a n   be a sequence of positive integers such that  an+2 = an+1 + an for n =
1, 2, . . . , 8
If  a10 = 2002 , then number of  such sequences  which are possible is
a) 5
b) 7
c) 3
d) 8
e) 2


Let S 2009   = 2009 +  ½(2008 + ½(2007 + . .+ ½( 3 + ½(2)). .)  then value
of  S 2009 is
a) 2009
b) 2007
c) 2008
d) 2006

27.
Let f(x) = x 2 + x +1  , where x > 0 , then minimum value of  f(x) + f(1/x) is
27.
Let f(x) = x 2 + x +1  , where x > 0 , then minimum value of  f(x) + f(1/x) is
a) 8
b) 2
c) 3
d) 6
28.
Let x, y, and z be real numbers such that x – 7y + 8z = 4, and 8x + 4y – z =
7 , then       x 2 – y 2  + z 2     is
a) 1
b) 4
c) 8
d) 7
If a , b and , such that a 2 + 2b = 7 ; b 2 + 4c = -7 and c 2 + 6a = -14  then
value of  a 2 + b 2 + c 2 is
a)16b)49c)14d)19e)22


A rubber band is 4 metres long, a insect begins to crawl from the left end of
the rubber band . Every minute the insect crawls 1 meter along the rubber band
towards the left end of the rubber band, but the rubber band gets stretched
(uniformly)  by 1 meter . For what value of n will the insect reach the left end
of the rubber band during the n th minute?
a)6b)8c)7   d)9e)11



How many 5 digit numbers abcde exist such that the digits b, d are each the sum
of the digits on their immediate left and right i.e. b = a +c and d = c + e
a)330  b)400c)339d)332



Triangle ABC is right angled at A. D is a point on AB such that CD = 1. AE is
the altitude   from A to BC. If BD = BE = 1, what is the length of AD?


a)( 3√ 3 – 2)b)( 3√ 2 – 1)c)( 3√ 4 – 1)d)( 3√ 3 – 1)e)None of
these


.
For how many integers a (1 ≤ a ≤200) is the number a a   a perfect square?
a) 109
b) 107
c) 110
d) 119




.
Let a n   be a sequence of positive integers such that  an+2 = an+1 + an for n =
1, 2, . . . , 8
If  a10 = 2002 , then number of  such sequences  which are possible is
a) 5
b) 7
c) 3
d) 8
e) 2


Let S 2009   = 2009 +  ½(2008 + ½(2007 + . .+ ½( 3 + ½(2)). .)  then value
of  S 2009 is
a) 2009
b) 2007
c) 2008
d) 2006
a) 8
b) 2
c) 3
d) 6
28.
Let x, y, and z be real numbers such that x – 7y + 8z = 4, and 8x + 4y – z =
7 , then       x 2 – y 2  + z 2     is
a) 1
b) 4
c) 8
d) 7
If a , b and , such that a 2 + 2b = 7 ; b 2 + 4c = -7 and c 2 + 6a = -14  then
value of  a 2 + b 2 + c 2 is
a)16b)49c)14d)19e)22


A rubber band is 4 metres long, a insect begins to crawl from the left end of
the rubber band . Every minute the insect crawls 1 meter along the rubber band
towards the left end of the rubber band, but the rubber band gets stretched
(uniformly)  by 1 meter . For what value of n will the insect reach the left end
of the rubber band during the n th minute?
a)6b)8c)7   d)9e)11



How many 5 digit numbers abcde exist such that the digits b, d are each the sum
of the digits on their immediate left and right i.e. b = a +c and d = c + e
a)330  b)400c)339d)332



Triangle ABC is right angled at A. D is a point on AB such that CD = 1. AE is
the altitude   from A to BC. If BD = BE = 1, what is the length of AD?


a)( 3√ 3 – 2)b)( 3√ 2 – 1)c)( 3√ 4 – 1)d)( 3√ 3 – 1)e)None of
these


.
For how many integers a (1 ≤ a ≤200) is the number a a   a perfect square?
a) 109
b) 107
c) 110
d) 119




.
Let a n   be a sequence of positive integers such that  an+2 = an+1 + an for n =
1, 2, . . . , 8
If  a10 = 2002 , then number of  such sequences  which are possible is
a) 5
b) 7
c) 3
d) 8
e) 2


Let S 2009   = 2009 +  ½(2008 + ½(2007 + . .+ ½( 3 + ½(2)). .)  then value
of  S 2009 is
a) 2009
b) 2007
c) 2008
d) 2006


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Two circles, both of radii 1 cm,
intersect such that the circumference of each one passes through the
centre of the circle of the other. What is the area (in sq cm) of the
intersecting region?
a)
b)
c)
d)
e)


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I can give this hint...

Extend AB and CD to meet at E. triangle BCE is equilateral ar its all 3 angles r
60 degrees.side is 4/3 each.
Now AE=4+(4/3)nd CD=5+4/3.angle AED=60degree.
Calculate area of triangle nd subtract it w/ area of BCD to get area of quadri.

All The Best,
Girish Hegde


--- In ascent4cat@yahoogroups.com, Rajeev kumar <rajeev2mail@...> wrote:
>
> 33.
> Let
> ABCD be a quadrilateral such that angle ABC = angle BCD = 120 , and AB
> = 3 BC = 4 and CD = 5 , then area of quadrilateral ABCD is
> a) 57
> b) 67
> c) 87
> d) (47 )/4
>
>
>       Try the new Yahoo! India Homepage. Click here.
http://in.yahoo.com/trynew
>

Question:
There is grassy square plot. One horse is tied at the mid point of one side of
the field and another horse is tied at the adjescent side of the first one. The
rope is just long enough for the horses to reach the centre of the square. Find
the ratio of the area of the commonly grazed part to the area of the square
field.
a) (pi-2)/8
b) (pi-2)/6
  three other options were also there.

Two men are going along a track rail in the opposite direction. One goods train
crossed the first person in 20 sec. After 10 min the train crossed the other
person who is coming in opposite direction in 18 sec .After the train has
passed, when the two  persons will meet?