Recent questions in Olympiad-Math

The coordinate of the circum centre of the triangle formed by the points $0(0,0), A(a,0)$ and $B(o,b)$ are

asked Nov 3, 2014 by meena.p

1 answer

The ratio in which the line segment joining points $A(a_1,b_1)$ and $B(a_2,b_2)$ is divided by y-axis is ________

asked Nov 3, 2014 by meena.p

1 answer

The ratio in which $(4,5)$ divides the line whose end points have coordinates $(2,3)$ and $(7,8)$ is ____

asked Nov 3, 2014 by meena.p

1 answer

If the centroid of the triangle formed by the points $(a,b),(b,c)$ and $(c,a)$ is at the origin then $a^3+b^3+c^3=$

asked Nov 3, 2014 by meena.p

1 answer

If the centroid of the triangle formed by the points $(3,-5),(-7,4),(10,-k)$ is at the point $(k,-1)$ then k is ________

asked Nov 3, 2014 by meena.p

1 answer

The digits of a positive integer having three digits are in A.P. and their sum is $15$ .The number obtained by reversing the digits is $594$ less than the original number.The number is _______

asked Oct 31, 2014 by sreemathi.v

1 answer

A man repays a loan of Rs.3250 by paying Rs.20 in the first month and then increases the payment by Rs.15 every month.How long will it take him to clear the loan?

asked Oct 31, 2014 by sreemathi.v

1 answer

A sum of Rs.280 is to be used to award four prizes.If each prize after the first is Rs.20 less than the preceding one,then the value of the first prize is

asked Oct 31, 2014 by sreemathi.v

1 answer

If there are $(2n+1)$ terms in an A.P,then the sum of odd terms and the sum of even terms is _____

asked Oct 31, 2014 by sreemathi.v

1 answer

The $10^{th}$ term of an A.P. is $52$ and $16^{th}$ term is $82$ .Then its $32^{nd}$ term is _______

asked Oct 31, 2014 by sreemathi.v

1 answer

The general term of an A.P. whose $7^{th}$ term is $-1$ and $16^{th}$ term is $17$ is _____

asked Oct 31, 2014 by sreemathi.v

1 answer

If the $p^{th},q^{th}$ and $r^{th}$ term of an A.P. are $a,b,c$ respectively then, $(a-b)r+(b-c)p+(c-a)q$ is _______

asked Oct 31, 2014 by sreemathi.v

1 answer

If $\large\frac{4}{5}$ $,a,2$ are the consecutive terms of an A.P,then the value of $a$ is _____

asked Oct 31, 2014 by sreemathi.v

1 answer

If the first,second and last term of an A.P. are $a,b$ and $2a$ respectively,then its sum is ______

asked Oct 31, 2014 by sreemathi.v

1 answer

The sum of $n$ terms of an A.P. is $2n^2+5n$ then $164$ belongs to ______ term.

asked Oct 31, 2014 by sreemathi.v

1 answer

If $S_n$ denotes the sum of $n$ terms of an A.P. whose first term is $'a'$ .If the common difference $'d'$ is given by $d=S_n-kS_{n-1}+S_{n-2}$ ,then the value of $k$ is ______

asked Oct 31, 2014 by sreemathi.v

1 answer

If $\large\frac{a^{n+1}+b^{n+1}}{a^n+b^n}$ is the A.M. between $a$ and $b$ ,then the value of $'n'$ is ______

asked Oct 31, 2014 by sreemathi.v

1 answer

The sum of three numbers of an A.P. is $27$ and their product is $648$ ,then the numbers are ______

asked Oct 31, 2014 by sreemathi.v

1 answer

The sum of first $15$ terms of an A.P. whose $n^{th}$ term is $(4n+1)$ is ______

asked Oct 31, 2014 by sreemathi.v

1 answer

If the sum of $n$ terms of an A.P. is given by $S_n=3n^2-n$ ,then its common difference $'d'$ is ________

asked Oct 31, 2014 by sreemathi.v

1 answer

If the sum of $n$ terms of an A.P. is given by $S_n=(3n^2+2n)$ ,then its $n^{th}$ term is ________

asked Oct 31, 2014 by sreemathi.v

1 answer

If the $p^{th},q^{th}$ and $r^{th}$ term of an A.P. are $a,b,c$ respectively then $a(q-r)+b(r-p)+c(p-q)=$ ______

asked Oct 31, 2014 by sreemathi.v

1 answer

The $15^{th}$ term from the end of $2,6,10,14.......94$ is _________

asked Oct 31, 2014 by sreemathi.v

1 answer

The value of $x$ in the terms $2x,(x+10)$ and $(3x+2)$ in an A.P. is ________

asked Oct 31, 2014 by sreemathi.v

1 answer