Recent questions in Olympiad-Math

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.

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 .

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

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 _______

asked Oct 14, 2014 by meena.p

1 answer

The value of k so that the system of linear equation has no solution $(3k+1)x+3y-2=0; (k^2+1)x +(k-2)y-5=0$ is

asked Oct 13, 2014 by meena.p

1 answer

The value of C for the following system of equation has no solution . $cx +3y =3; 12x +cy=6$ is _________

asked Oct 13, 2014 by meena.p

1 answer

Number of values K can have for the following system of equation $4x+ 5y =3; kx+15y=9$

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 $4x- 5y =k;2x - 3y =12$

asked Oct 13, 2014 by meena.p

1 answer

For what value of k will the following system of equations have infinitely many solution? $2x + 3y=4;(k+2)x+6y=3k+2$

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? $2x - (a-4)y=2b+1;4x-(a-1)y =5b-1$

asked Oct 13, 2014 by meena.p

1 answer

The value of k for which the system of equation has infinitely many solutions is __________

asked Oct 13, 2014 by meena.p

1 answer

The given system of equation is $kx +3y-(k-3)=0;12x+ky -k=0$ For infinitely many solutions, the value of k is ________

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 $(k-3)x +3y=k;kx+ky=12$ is

asked Oct 13, 2014 by meena.p

1 answer

A cylindrical vessel of height $25\; cm$ and diameter $15\; cm$ 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 $30 \;cm$,the radius of its base is ____ cm

asked Oct 13, 2014 by meena.p

1 answer

A cylindrical vessel of height $24\; cm$ and $12\; cm$ 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 $24\;cm$, the radius of the base is _______ cm( approx)

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 $25\;cm$ , the radius of the base is _______ cm (approx)

asked Oct 13, 2014 by meena.p

1 answer

A cylindrical vessel of height $25 \;cm$ and $10\;cm$ 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 $28 \;cm$ the radius of its base is ______ cm.

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 $90\;cm$ , then the speed per hour with which the boy is cycling is _______ km / hr(approx)

asked Oct 13, 2014 by meena.p

1 answer

The diameter of the front and rear wheels of a tractor are $80\;cm$ 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 ________

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 $60\;cm$ then the speed per hour with which the boy is cycling is _________ km/hr

asked Oct 13, 2014 by meena.p

1 answer

The diameter of a wheel of a bus is $90 \;cm$ which makes $3/5$ revolution per minute. Then the speed of the bus is ___km/hr(approx)

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 _______

asked Oct 10, 2014 by meena.p

1 answer

A sphere is placed in a cone of height $8.4 \;cm$ The volume of the sphere if it touches the lateral surface and the base of the cone is _____ $cm^3$

asked Oct 10, 2014 by meena.p

1 answer

A sphere is placed in a cone of height $15.3\;cms$. The volume of the sphere if it touches the lateral surface and the base of the cone is _____ $cm^3$

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 _____ $cm^3$

asked Oct 10, 2014 by meena.p

1 answer

Marbles of diameter $1.4 \;cm$ are dropped into a cylindrical beaker of diameter $7\;cm$ , Containing some water. The number of marbles that should be dropped into the beaker so that the water level increases by $5.6\;cm$ is _______

asked Oct 10, 2014 by meena.p

1 answer

Marbles of diameter $1.4 \;cm$ are dropped into a cylindrical beaker of diameter $7 \;cm$, containing some water. The number of marbles that should be dropped into the beaker so that the water level lines by $5.6\; cm$ is ________

asked Oct 10, 2014 by meena.p

0 answers

A sphere of diameter $6\; cm$ is dropped into a circular cylindrical vessel partly filled with water. The diameter of the vessel is $12\; cm$ . If the sphere is completely submerged in water the rise in the level of water in the vessel is ____ cm

asked Oct 10, 2014 by meena.p

1 answer

Lead sphere of diameter $6\;cm$ 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 $40 \;cm$. The number lead sphere dropped in the water is

asked Oct 10, 2014 by meena.p

1 answer

A cylindrical jar of radius $6\; cm$ contain oil. Iron spheres each of radius $1.5\; cm$ are immersed in the oil. How many spheres are necessary to raise the level of the oil two centimeters ?

asked Oct 10, 2014 by meena.p

1 answer

A cylindrical vessel of diameter $8\;cm$ is partly filled with water . 600 lead balls are dropped into it. The rise in water level is $0.8 \;cm$ . The diameter of each ball is

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 $3500\;cm^2$ , the distance covered when 7 rounds are taken round the square (approx) is

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 $17320\;sq\;cm$, the distance covered when 9 round are taken round the triangle is _______ cm.

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 $17320\;sq\;cm$, the distance covered when 9 rounds are taken round the circle is ________ cm

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 $3696\;cm^2$ , the distance covered when 8 round are taken round the square (approx) is _____ cm.

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 $3225\;sq\;cm$ the distance covered when 6 rounds are taken round the circle (approx) is ____ cm

asked Oct 7, 2014 by meena.p

1 answer

A bucket has top and bottom diameter as $23\;cm$ and $16 \;cm$ respectively . Its height is $32\;cm$. Then the volume of the bucket is ____$m^3$

asked Oct 6, 2014 by meena.p

2 answers

A function of a cone has a height of $40 \;cm$ and the radii of the top and bottom are $32\;cm$ and $25\;cm$ respectively. The volume of the bucket is _________ $cm^3$

asked Oct 6, 2014 by meena.p

1 answer

The circumference of the top and bottom of a bucket is $154 \;cm$ and $44\;cm$ . The volume of the bucket if its depth is $24\;cm$ is

asked Oct 6, 2014 by meena.p

1 answer

A bucket has to top and bottom diameter of $40\; cm$ and $20 \;cm $ respectively . The volume of the bucket if its depth is $12 \;cm$ is _____ $ cm^3$

asked Oct 6, 2014 by meena.p

1 answer

The radii of the ends of a bucket of height $24\;cm$ are $15$ and $5 \;cm$ Then its capacity is _____ $cm^3$

asked Oct 6, 2014 by meena.p

1 answer

A hemispherical bowl is made of steel of $0.65\;cm$ thickness . The inner radius of the bowl is $8.25\; cm$. The volume of the steel used is _____ $cm^3 $

asked Oct 6, 2014 by meena.p

1 answer

A hemispherical bowl is made of iron of $0.75\;cm$ thickness . The inner radius of the bowl is $5.25\; cm$. The weight of the hemispherical bowl is _____ kg

asked Oct 6, 2014 by meena.p

1 answer

A hemispherical bowl is made of bronze of $5\;mm$ thickness . The inner radius of the bowl is $6\; cm$. The weight of the hemispherical bowl is _____ kg $(\pi =3.14)$

asked Oct 6, 2014 by meena.p

1 answer

A hemispherical bowl is made of brass of $7 \; mm$ thickness . The inner radius of the bowl is $4.25\; cm$. The volume of the brass used is _____ $cm^3 (\pi =3.14)$

asked Oct 6, 2014 by meena.p

1 answer

A hemispherical bowl is made of steel of $0.5\;cm$ thickness . The inner radius of the bowl is $5\; cm$. The volume of the steel used is _____ $cm^3 (\pi =3.14)$

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?

asked Feb 7, 2014 by fingeazy

1 answer

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