Home » 2010 » December » 28 » question 2008 maymansing
10:14 AM
question 2008 maymansing
       -
   
  - ,

 !
"  : $%       
&
 ,
, 

   । 1

 : ' ()&
Category – Primary ( + - ,
 - ./0)1 Registration
No : Name :
Class :
[      45 65  $    5 7 8  7 !।      7 :5" 7। ;:
4/ 65.=      >. 7?     5 /  ।      65 7 !। 7?5     "

5 5"@%   A5 7  B: "
 $ !।  C 
5 65.=
D
    5 !  ।]
  
1. 
     !  "# $% । & '
( )   15 !  *, +  15 ! 

 ' "# , * 35 !।   
  !
 & ' (?
Basic Ali has to be at work by 9:00 a.m. and it takes
him 15 minutes to get dressed, 15 minutes to eat and
35 minutes to walk to work. What time should he get
up?
2. " - - ./ 0 ./  ./।
Write in numbers-
Nine million ninety thousand ninety
3. 1 $  
234 : 1155
Find the prime factorization of: 1155
4. 5!
6  1 -7 8 "$ 5!
6  9 -7
- ।5 ! -7 : ,; <!
6/ :?
Suppose you have put all the prime number in a box
and even numbers in another box. How many
numbers are there which are in both boxs?
5.   ' = >
 
?@ $A : 7 BC
। 
,  8 D
 
?@ $A "$
? :।

E
 
?@ $A 
9  F9 ' G   *9 
?@
$A H; 5
 =
 </    "$
? '। 8/
= *9 
?@ $A ?
Minimum temperature of the first Saturday of January
was 7 degree Celsius and it remained same for the
next 3 days (Sunday, Monday & Tuesday). Wednesday
the minimum temperature was twice the average
       -
   
  - ,

 !
"  : $%       
&
 ,
, 

   । 2
  
minimum temperature of first four days and it
remained unchanged for last 2 days of the week. What
was the average minimum temperature of that week?
6.   
 G !
:
9। 
: $ 
 
 


 H;। 5- 
 ?
Raju is eight years older than his sister. In three years
he will be twice as old as she is. How old are they
now?
7.
IJ 14  K! E7 4  LE  $
 :, 6
  $
 :  3  - <!/ $:। 
5-8 - :/ $ /?
There are 14 cricketers in the dressing room. 6
cricketers are wearing socks and 4 cricketers are
wearing shoes, 3 cricketers are wearing both. How
many cricketers are in bare feet?
8. A 8 B 5 E7
?  MN 60 !। A 8 B ' </!
 ,A
।
 </! ,  5/   , 
 6 &O! $ P ,  
$
  G 
 2 &O! $  । Q*
 *
* &O!
 !?
Points A and B are 60 km apart. One bus starts from A
and another starts from B. If they go in same
direction, they meet in 6 hours and if they go in
opposite direction they meet in 2 hours. What is the
speed of the bus move faster?
9.
10. <! 1 -7 ; 377    *; ?
If LCM of two prime numbers are 377, what is the
GCD of these two numbers ?
11. 2000-5 

9 5
 4000-5 
 :! ; 
9
-7 : , 3 H 
R7?
How many multiple of 3 which are odd numbers and
greater than or equal to 2000 and less than or equal
to 4000 are there?
12. E! ,*# 4? ।
Find the summation of the following sequence
101+102+103+...+199+200-1-2-3-...-99-100
       -
   
  - ,

 !
"  : $%       
&
 ,
, 

   । 3

 : ' ()&
Category – Junior ( FG – 
 - ./0)1 Registration
No : Name :
Class :
[      45 65  $    5 7 8  7 !।      7 :5" 7। ;:
4/ 65.=      >. 7?     5 /  ।      65 7 !। 7?5     "

5 5"@%   A5 7  B: "
 $ !।  C 
5 65.=
D
    5 !  ।]
  
1.  4?  Evaluate
10.73 10.73 10.73 4.27 4.27 4.27
10.73 10.73 10.73 4.27 4.27 4.27
´ + ´ + ´
´ ´ - ´ ´
2. 11! K SR
 -7 ,*# 2761। T -7!
?
If the sum of eleven consecutive natural numbers
is 2761, then what is the middle number?
3. 5!
U $E $ , $FG! 
V  
 !
 
V ,*  
?! ! AR )  W
?
How many triangles you can draw using any three
of the five points on the circle as vertices?
4. E! $
? $ ! 4?  1,1,2, 3, 5, 8, 13…
Find the next member of the sequence 1, 1, 2, 3, 5,
8, 13…
5. 5! 0A ) &?7  % G;। 5 0A# 100

*?!  ) &?7 8 % ?
The length of a rectangle is four times as long as
its width. The area of the rectangle is 100 metres
squared. What are the dimensions of the
rectangle?
6. G E! 
 "; ,*# 
 ।
What is the sum of all the digits in the sequence
1, 2, 3, 4, 5, 6, 7,...99, 100?
7. 44 5
*? G
9 P 45 5
*? G :! 5! -7

  , 5! X$  Y 5 5
*? 5
 -7! 13 5
;।
       -
   
  - ,

 !
"  : $%       
&
 ,
, 

   । 4
  
Find the number that is greater than 44 squared
and less than 45 squared. 5 squared is one of its
factors, and it is a multiple of 13.
8. 5! H
Z AR RM 10 । ,  AR! 0A# 60
*?
O!! 
>  , 
 ARM! $ 
?[  
$?
The base of isosceles triangle is 10 cm long. If the
area of the triangle cannot exceed 60 square
centimeters, What is the maximum number of
centimeters in the perimeter of the triangle?
9. ABCD 5!
*?0A। ABCD 5
Z; E7
V ,* 
EFGH
*?0A $8 *। 5/R
 EFGH -5
Z;
E7
V ,*  A`B`C`D`
*?0A $8 *। ABCD-5
0A# A`B`C`D`-5 0A# ;?
Given a square ABCD consider the square EFGH
that has its vertices in the midpoint of ABCD. What
is the ratio of the area of ABCD to the square
A`B`C`D`, whose vertices are the midpoints of
EFGH?
10.   : Simplify
2 3 4 5 6 7 28
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1 + + + + + + +
11. # ! L^ ,* _ 3 ` $:  ! "L^
,* _
 ` -/:। 30 ! ,* _  = ` 40
  ! ,* L^ :?
Faria gets 3 marks for each correct sum and loses 2
marks for each wrong sum. He attempts 30 sums
and obtains 40 marks. How many sums he solved
correctly?
       -
   
  - ,

 !
"  : $%       
&
 ,
, 

   । 5

 : ' ()&
Category – Secondary (  
 - $%
 ) Registration No :
Name :
Class :
[      45 65  $    5 7 8  7 !।      7 :5" 7। ;:
4/ 65.=      >. 7?     5 /  ।      65 7 !। 7?5     "

5 5"@%   A5 7  B: "
 $ !।  C 
5 65.=
D
    5 !  ।]
  
1. a
+
 -7  G 4 ! E $8 ,
?
If a is a natural number how many solutions does the following
equation have?
||a| + 3| - 2| =1
2. A 5! ! ,  ; 24, 36, 48 8 60  :>3 R* । A
!!  $^ -।
3.
G
7!  x 5   _ 7, : :  _ 7
 
  _ '7।
Tell whether this statement is always, sometimes, or
never true:
f(g(x)) = g(f(x))
4.
G " 
U -7 12, 18 8 35 H R*  7
"
>a '?
What is the greatest number of four digits, which when
divided by 12, 18 and 35 leaves 7 as reminder?
5.
ABCD
*?0A
Z ) &?7 12 m, 5 AB
Z !  ">

Rb  : AE, EF 8 FB। EC 5
 FD $c H 
V
$c :  । HCD AR 0A# ?
In the square ABCD, its side AB (12 m long) is divided
into three equal segments: AE, EF and FB. EC and FD
intersect in H. What is the area of the triangle HCD?
6.
"CFOSU" -5
4?; "RE K   "FOCUS"
 % '
?
The letters "CFOSU" are arranged in dictionary order.
What is the rank of the word "FOCUS" in this order?
       -
   
  - ,

 !
"  : $%       
&
 ,
, 

   । 6
  
7.
 4?  Evaluate
Sin00.Sin10.Sin20.Sin30...............Sin1490.Sin1500
8. ,  (x + 3) , 3x2 + ax + 6 -5 5! X$  , 
 a –5 
?
If (x + 3) is a factor of 3x2 + ax + 6 , then what is the value
of a?
9.
5! 
 56 
7E?
U   8 ,। ,  e

*?0A K  8 , 
*?0A 0A#  
?
A wire can be bent in the form of a circle of radius 56 cm.
If it is bent in the form of a square, then what will be its
area? )
7
22
(p =
10.
{1, 2, ..., 100} ! ' 50! $U' -7   ,  ,*#
3000। 5/ 50! -7 E7 $0 ! -7 9?
Considering 50 distinct numbers, picked at random from
the set {1, 2, ..., 100} whose total sum is 3000, what is
the least amount of even numbers possible?
11.
{1, 2, ..., 100} ! ' 50! $U' -7   ,  ,*#
3000। 5/ 50! -7 E7 $0 ! -7 9?
Considering 50 distinct numbers, picked at random from
the set {1, 2, ..., 100} whose total sum is 3000, what is
the least amount of even numbers possible?
12. $c 8$ ` 5 </! 7
U "R7f :  :। 5!
7 </! "> ,'K 3 8 4 5
 "_! ">H 6 8 2 ।
U
7
?
Two perpendicular chords intersect in a circle. The
segments of one chord are 3 and 4, the segment of the
other are 6 and 2. Find the diameter of the circle?
       -
   
  - ,

 !
"  : $%       
&
 ,
, 

   । 7
 : g &O!
Category – Higher-Secondary (gg>-g
>) Registration No :
Name :
Class :
[ h  B  - % - 
।  -7 / -। 5/
h/$A j$ -9  ,
 । 
  - 
। -9 *
 k> ` -  "
l/    
। 
  $A
M7  
 ।]
  
1. G > m  n
 $    
?
(x2 + x-3)10
Find the constant term of the expansion of (x2 + x-3)10
2. 5!
U "f?- 
Z ARM $ p । e
U 0A# 4?
?
Given that p is the perimeter of an equilateral triangle
inscribed in a circle, find the area of a circle ?
3.
> (ax3 + 3x2 - 3)8 (2x3 + 3x2 - 3) - (x - 4) H R* 

/ 5/ "
>a '। a 5  ?
The polynomials (ax3 + 3x2 - 3) and (2x3 + 3x2 - 3) when
divided by (x - 4) leaves the same reminder. What is the
value of a?
4.
G E! ' 10 $  a ?
7+5+12+17+29+29+46+75…
What is the sum of the first 10 term of the following sequence?
7+5+12+17+29+29+46+75…
5.
 !
! K Eo $M?-7 (,   p 5 G
9)
' 8/ ! 
?[ ! 1 -7 ' W
?
Consider any set of 20 consecutive positive integer
numbers greater than 50; what is the greatest possible
prime numbers in the set?
6. ABCD 5!
U% GRM?-5 AB8 CD
Z
E?   P

V :  । "j$R
 AD 8 BC-5
E?> Q 
V :
। ,  <ADC=850 8 <BPC=400  
 <CQD=?
       -
   
  - ,

 !
"  : $%       
&
 ,
, 

   । 8
  
The sides AB and DC if a cyclic quadrilateral ABCD are
produced to meet at P, the sides AD and BC are
produced to meet at Q. If the <ADC=850 and
<BPC=400 then find the <CQD.
7. 5! I 5/  2! , 3!  8 4! 
 
 -
:। O! ' )
G 1!
 । $ #O! "
>a
;
' )
G 5!
 । O!
! 
 5
 #O!
! 

 W
 ?
A box contains two red balls, three blue balls, and four green balls.
Nonte draws one ball from the box, and then Fonte draws a ball from
those remaining. What is the probablity that Nonte draws a green ball
and Fonte draws a blue ball?
8. P(x) = x3+ax2+bx+c
Z$  </! M ,*# >M_। P(x) 5
*; E7 r? 4? ।
Let P(x) = x3+ax2+bx+c and suppose that the sum of
two of the solutions of the polynomial is zero. What is
the relation between the coefficients of P(x)?
9. G > 
?@  ?
2x2 -8x + 7
What is the minimum value of 2x2 -8x + 7 ?
10. 1717 5 5 & "s! ? What is the unit digit of 1717?
Views: 553 | Added by: zazafee | Rating: 0.0/0
Total comments: 0
Name *:
Email *:
Code *: