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Questions >> Olympiad-Math >> Class 10

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

Which term of the A.P. $24,21,18,15,.....$ is the first negative term?

asked Oct 31, 2014 by sreemathi.v

1 answer

If the $P^{th}$ term of an A.P. is $q$ and the $q^{th}$ term is $p$ then its $n^{th}$ term is ______

asked Oct 30, 2014 by sreemathi.v

1 answer

The $11^{th}$ term of an A.P. $(5a-x),6a,(7a+x),....$ is ______

asked Oct 30, 2014 by sreemathi.v

1 answer

If $m$ times the $n^{th}$ term of an A.P. is equal to $n$ times the $n^{th}$ term,then its $(m+n)^{th}$ term is _______ ?

asked Oct 30, 2014 by sreemathi.v

1 answer

The $16^{th}$ term of an A.P. whose first term is $-\sqrt 2$ and common difference is $\large\frac{1}{\sqrt 2}$ is _____

asked Oct 30, 2014 by sreemathi.v

1 answer

Two AP's have the same common difference,the first term of one of these is $4$ and that of the other is $9$ ,then the differences between the $4^{th}$ terms is _______

asked Oct 30, 2014 by sreemathi.v

1 answer

The third term of an A.P is $18$ and its seventh term is $30$ ,then its $17^{th}$ term is ______

asked Oct 30, 2014 by sreemathi.v

1 answer

In an A.P,the $24^{th}$ term is twice the $10^{th}$ term,then its $30^{th}$ term is _____ $13^{th}$ term.

asked Oct 30, 2014 by sreemathi.v

1 answer

The third term of an A.P. is $p$ and the fourth term is $q$ ,then its $10^{th}$ term is ____

asked Oct 30, 2014 by sreemathi.v

1 answer

If the $4^{th}$ term of an A.P. is twice the $8^{th}$ term,then its $10^{th}$ term is ______ the $11^{th}$ term

asked Oct 30, 2014 by sreemathi.v

1 answer

If $7$ times ,the $7^{th}$ term of an A.P. is equal to $11$ times the $11^{th}$ term ,then its $18^{th}$ term is _______

asked Oct 30, 2014 by sreemathi.v

1 answer

The common difference of an A.P. whose sum of $n$ terms is $xm^2+ym$ is ________

asked Oct 30, 2014 by sreemathi.v

1 answer

Find the value of $m$ if $m^{th}$ term of the A.P. $1,\large\frac{2}{11},\frac{3}{11}, ....... is \frac {17}{11}$

asked Oct 30, 2014 by sreemathi.v

1 answer

Which term of the A.P $-1,3,7,......$ is $95$ ?

asked Oct 30, 2014 by sreemathi.v

1 answer

How many of two digits are divisible by $3$ ?

asked Oct 30, 2014 by sreemathi.v

1 answer

How many of two digits are divisible by $5$ ?

asked Oct 30, 2014 by sreemathi.v

1 answer

The common difference in an A.P,whose $n^{th}$ term is given by $5n-7$ is ______

asked Oct 30, 2014 by sreemathi.v

1 answer

The $n^{th}$ term in the A.P $0,\large\frac{1}{4},\frac{1}{2},$ ...... is

asked Oct 30, 2014 by sreemathi.v

1 answer

In the A.P $-3,5,13,......$ the $25^{th}$ term is ______

asked Oct 30, 2014 by sreemathi.v

1 answer

If $2x,x+10$ and $3x+2$ are in A.P,then the value of $x$ is ______

asked Oct 30, 2014 by sreemathi.v

1 answer

The common difference in the A.P $\sqrt 2,\sqrt 8,\sqrt{18},\sqrt{32},$ ..... is ______

asked Oct 30, 2014 by sreemathi.v

1 answer

The common difference in the A.P $(x+y),(x+1)+y,(x+1)+(y+1),$ .......

asked Oct 30, 2014 by sreemathi.v

1 answer

The common difference in the A.P $3-\sqrt 7,2-\sqrt 7,1-\sqrt 7,$ ..... is ______

asked Oct 30, 2014 by sreemathi.v

1 answer

The common difference in the A.P $\large\frac{1}{1+\sqrt y},\frac{1}{1-y},\frac{1}{1-\sqrt y},$ ...... is ________

asked Oct 30, 2014 by sreemathi.v

1 answer

The point on the x - axis which is equidistant from points $(-1,0)$ and $(5,0)$ is _____

asked Oct 29, 2014 by meena.p

1 answer

If the point $(p,q),(m,n)$ and $(p-m,q-n)$ are collinear, then _________

asked Oct 29, 2014 by meena.p

1 answer

For what value of x will the points $(x,-1) ,(2,1)$ and $(4,5)$ are collinear ?

asked Oct 29, 2014 by meena.p

1 answer

Two vertices of a triangle are $(3.-5)$ and $(-7,4)$ .If its centroid is $(2,-1)$ then its third vertex is ___________

asked Oct 29, 2014 by meena.p

1 answer

The coordinates of one end of a diameter of a circle are $(4,-1)$ and the coordinate of the center of the circle are $(1,-3)$ . The coordinate of the other end of the diameter are _______

asked Oct 29, 2014 by meena.p

1 answer

The coordinates of A and B are $(1,4)$ and $B(5,2)$ respectively, then the coordinate of P if $AP: PB$ is $3:4$ are ____

asked Oct 29, 2014 by meena.p

1 answer

The ratio in which the point $(-6,5)$ divides the join of $A(-3,1)$ and $B(-8,9)$ is ______

asked Oct 29, 2014 by meena.p

1 answer

The coordinate of the centroid of a triangle whose vertices are $(0,6), (8,12)$ and $(8,0)$ is _______

asked Oct 29, 2014 by meena.p

1 answer

If $D,E$ and $F$ are the mid point of sides $BC,CA$ and $AB$ respectively of a $\Delta ABC$ , then $\large\frac{area\;of\;\Delta DEF}{area\;of\;\Delta ABC}$ =______

asked Oct 29, 2014 by meena.p

1 answer

The vertices of a triangle ABC are $A(4,6),B(1,5)$ and $C(7,2)$ . A line is drawn to intersect the sides AB and AC at D and E respectively. Such that $\large\frac{AD}{AB} =\frac{AE}{AC}=\frac{1}{4}$ . Then the ratio of $\large\frac{\Delta ADE}{\Delta ABC}$ is _________

asked Oct 29, 2014 by meena.p

1 answer

Two vertices of a triangle having coordinates $(8,7)$ and $(9,4)$ and the centroid is at the origin, then the coordinates of the third vertex is ________

asked Oct 29, 2014 by meena.p

1 answer

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