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Olympiad-Math
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The sum of a two digit number and the number formed by interchanging its digits is 110. if 10 is subtracted from the first number, the new number is 4 more than 5 times the sum of the digits in the first number. find the first number.
olympiad
math
ch-3
pair of straight lines
class10
asked
Oct 14, 2014
by
meena.p
1
answer
The sum of the digits of a two digit number is 8. and the difference between the number and that formed by reversing the digit is 18. Find the number .
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 14, 2014
by
meena.p
1
answer
The sum of the two digits of a number is 8. If the sum of their squares is 40, then the number is
sat
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 14, 2014
by
meena.p
1
answer
The sum of two numbers is 8. If thus sum is four time their difference , then the numbers are _______
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 14, 2014
by
meena.p
1
answer
The value of k so that the system of linear equation has no solution
(
3
k
+
1
)
x
+
3
y
−
2
=
0
;
(
k
2
+
1
)
x
+
(
k
−
2
)
y
−
5
=
0
is
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 13, 2014
by
meena.p
1
answer
The value of C for the following system of equation has no solution .
c
x
+
3
y
=
3
;
12
x
+
c
y
=
6
is _________
olympiad
math
ch-8
liner-equations
pair-of-straight-line
class10
asked
Oct 13, 2014
by
meena.p
1
answer
Number of values K can have for the following system of equation
4
x
+
5
y
=
3
;
k
x
+
15
y
=
9
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 13, 2014
by
meena.p
1
answer
The value of k for which the following system of equations has a unique solution is
4
x
−
5
y
=
k
;
2
x
−
3
y
=
12
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 13, 2014
by
meena.p
1
answer
For what value of k will the following system of equations have infinitely many solution?
2
x
+
3
y
=
4
;
(
k
+
2
)
x
+
6
y
=
3
k
+
2
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 13, 2014
by
meena.p
1
answer
For what value of a and b will the following system of linear equations have infinitely many solution?
2
x
−
(
a
−
4
)
y
=
2
b
+
1
;
4
x
−
(
a
−
1
)
y
=
5
b
−
1
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 13, 2014
by
meena.p
1
answer
The value of k for which the system of equation has infinitely many solutions is __________
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 13, 2014
by
meena.p
1
answer
The given system of equation is
k
x
+
3
y
−
(
k
−
3
)
=
0
;
12
x
+
k
y
−
k
=
0
For infinitely many solutions, the value of k is ________
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 13, 2014
by
meena.p
1
answer
The value of k for which the given system of equations has infinitely many solution is
(
k
−
3
)
x
+
3
y
=
k
;
k
x
+
k
y
=
12
is
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 13, 2014
by
meena.p
1
answer
A cylindrical vessel of height
25
c
m
and diameter
15
c
m
on the base is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. The height of the conical heap is
30
c
m
,the radius of its base is ____ cm
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 13, 2014
by
meena.p
1
answer
A cylindrical vessel of height
24
c
m
and
12
c
m
diameter of the base is filled with sand . This bucket is emptied on the ground and a conical heap of sand is formed . The height of the conical heap is formed . The height of the conical heap is
24
c
m
, the radius of the base is _______ cm( approx)
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 13, 2014
by
meena.p
1
answer
A cylindrical vessel of height 30 cm and 12 cm as radius of the base is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. The height of the conical heap is
25
c
m
, the radius of the base is _______ cm (approx)
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 13, 2014
by
meena.p
1
answer
A cylindrical vessel of height
25
c
m
and
10
c
m
as the radius of the base is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. The height of the conical heap is
28
c
m
the radius of its base is ______ cm.
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 13, 2014
by
meena.p
1
answer
A boy is cycling such that the wheels of the cycle are making
120
revolutions per minute. If the diameter of the wheel is
90
c
m
, then the speed per hour with which the boy is cycling is _______ km / hr(approx)
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 13, 2014
by
meena.p
1
answer
The diameter of the front and rear wheels of a tractor are
80
c
m
and
2
m
respectively. The no of revolutions that rear wheel will make to cover the distance which the front wheel cover in
1400
revolution is ________
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 13, 2014
by
meena.p
1
answer
A boy is cycling such that the wheels of the cycle are revolving at the rate of
140
revolutions per minute. If the diameter of the wheel is
60
c
m
then the speed per hour with which the boy is cycling is _________ km/hr
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 13, 2014
by
meena.p
1
answer
The diameter of a wheel of a bus is
90
c
m
which makes
3
/
5
revolution per minute. Then the speed of the bus is ___km/hr(approx)
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 10, 2014
by
meena.p
1
answer
A bicycle wheel makes 5000 revolution in moving 11 km. Then the diameter of the wheel is _______
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 10, 2014
by
meena.p
1
answer
A sphere is placed in a cone of height
8.4
c
m
The volume of the sphere if it touches the lateral surface and the base of the cone is _____
c
m
3
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 10, 2014
by
meena.p
1
answer
A sphere is placed in a cone of height
15.3
c
m
s
. The volume of the sphere if it touches the lateral surface and the base of the cone is _____
c
m
3
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 10, 2014
by
meena.p
1
answer
A sphere is placed in a cone of height 12 cm. The volume of the sphere if it touches the lateral surface and base of the cone is _____
c
m
3
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 10, 2014
by
meena.p
1
answer
Marbles of diameter
1.4
c
m
are dropped into a cylindrical beaker of diameter
7
c
m
, Containing some water. The number of marbles that should be dropped into the beaker so that the water level increases by
5.6
c
m
is _______
olympiad
math
ch-8
areas-related-to-circles-surface-
areas-and-volumes
class10
asked
Oct 10, 2014
by
meena.p
1
answer
Marbles of diameter
1.4
c
m
are dropped into a cylindrical beaker of diameter
7
c
m
, containing some water. The number of marbles that should be dropped into the beaker so that the water level lines by
5.6
c
m
is ________
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 10, 2014
by
meena.p
0
answers
A sphere of diameter
6
c
m
is dropped into a circular cylindrical vessel partly filled with water. The diameter of the vessel is
12
c
m
. If the sphere is completely submerged in water the rise in the level of water in the vessel is ____ cm
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 10, 2014
by
meena.p
1
answer
Lead sphere of diameter
6
c
m
are dropped into a cylindrical beaker containing some water and are fully submerged. The diameter of the beaker is 18 cm and the rise in the level of water is
40
c
m
. The number lead sphere dropped in the water is
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 10, 2014
by
meena.p
1
answer
A cylindrical jar of radius
6
c
m
contain oil. Iron spheres each of radius
1.5
c
m
are immersed in the oil. How many spheres are necessary to raise the level of the oil two centimeters ?
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 10, 2014
by
meena.p
1
answer
A cylindrical vessel of diameter
8
c
m
is partly filled with water . 600 lead balls are dropped into it. The rise in water level is
0.8
c
m
. The diameter of each ball is
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 7, 2014
by
meena.p
1
answer
The area of a circle and a square are the same . If the area of the circle is
3500
c
m
2
, the distance covered when 7 rounds are taken round the square (approx) is
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 7, 2014
by
meena.p
1
answer
The area of a circle and an equilateral triangle are the same. If the area of the circle is
17320
s
q
c
m
, the distance covered when 9 round are taken round the triangle is _______ cm.
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 7, 2014
by
meena.p
1
answer
The area of a circle and an equilateral triangle are the same. If the area of the equilateral triangle is
17320
s
q
c
m
, the distance covered when 9 rounds are taken round the circle is ________ cm
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes10
class10
asked
Oct 7, 2014
by
meena.p
1
answer
The area of circle and a square are the same. If the area of the circle is
3696
c
m
2
, the distance covered when 8 round are taken round the square (approx) is _____ cm.
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 7, 2014
by
meena.p
1
answer
The area of a square and a circle are same. If the area of the square is
3225
s
q
c
m
the distance covered when 6 rounds are taken round the circle (approx) is ____ cm
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 7, 2014
by
meena.p
1
answer
A bucket has top and bottom diameter as
23
c
m
and
16
c
m
respectively . Its height is
32
c
m
. Then the volume of the bucket is ____
m
3
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 6, 2014
by
meena.p
2
answers
A function of a cone has a height of
40
c
m
and the radii of the top and bottom are
32
c
m
and
25
c
m
respectively. The volume of the bucket is _________
c
m
3
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 6, 2014
by
meena.p
1
answer
The circumference of the top and bottom of a bucket is
154
c
m
and
44
c
m
. The volume of the bucket if its depth is
24
c
m
is
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 6, 2014
by
meena.p
1
answer
A bucket has to top and bottom diameter of
40
c
m
and
20
c
m
respectively . The volume of the bucket if its depth is
12
c
m
is _____
c
m
3
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 6, 2014
by
meena.p
1
answer
The radii of the ends of a bucket of height
24
c
m
are
15
and
5
c
m
Then its capacity is _____
c
m
3
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 6, 2014
by
meena.p
1
answer
A hemispherical bowl is made of steel of
0.65
c
m
thickness . The inner radius of the bowl is
8.25
c
m
. The volume of the steel used is _____
c
m
3
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 6, 2014
by
meena.p
1
answer
A hemispherical bowl is made of iron of
0.75
c
m
thickness . The inner radius of the bowl is
5.25
c
m
. The weight of the hemispherical bowl is _____ kg
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 6, 2014
by
meena.p
1
answer
A hemispherical bowl is made of bronze of
5
m
m
thickness . The inner radius of the bowl is
6
c
m
. The weight of the hemispherical bowl is _____ kg
(
π
=
3.14
)
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 6, 2014
by
meena.p
1
answer
A hemispherical bowl is made of brass of
7
m
m
thickness . The inner radius of the bowl is
4.25
c
m
. The volume of the brass used is _____
c
m
3
(
π
=
3.14
)
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 6, 2014
by
meena.p
1
answer
A hemispherical bowl is made of steel of
0.5
c
m
thickness . The inner radius of the bowl is
5
c
m
. The volume of the steel used is _____
c
m
3
(
π
=
3.14
)
olympiad
math
ch-8
areas-related-to-circles-surface- areas-and-volumes
class10
asked
Oct 6, 2014
by
meena.p
1
answer
Priti got 64 chocolates from the shop. She kept 1/4 of them for herself and shared the remaining among 8 friends. How many chocolates did each one get?
fractions
class5
word-problems
easy
math
asked
Feb 7, 2014
by
fingeazy
1
answer
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