Recent questions in Olympiad-Math

The LCM of two numbers is $1200$.Then the number which is not its HCF is _____

asked Nov 4, 2014 by sreemathi.v

1 answer

If the product of two numbers is 1080 and then HCF is $30$,then its LCM is _____

asked Nov 4, 2014 by sreemathi.v

1 answer

If the LCM of $a$ and $18$ is 36 and HCF of $a$ and $18$ is $2$ then $a$=

asked Nov 4, 2014 by sreemathi.v

2 answers

If HCF(26,169)=13,then LCM(26,169)=____

asked Nov 4, 2014 by sreemathi.v

1 answer

The smallest number that when divided by $35,56$ and $91$ leaves remainders of in each case

asked Nov 4, 2014 by sreemathi.v

1 answer

The LCM and HCF of two numbers are $180$ and $6$ respectively.If one number is $30$,then the other number is _______

asked Nov 4, 2014 by sreemathi.v

1 answer

Given that HCF (306,657)=9 then LCM (306,657) is ______

asked Nov 4, 2014 by sreemathi.v

1 answer

$\large\frac{125}{441}$ is a ______ decimal

asked Nov 4, 2014 by sreemathi.v

1 answer

$\large\frac{13}{3125}$ is a ________ decimal

asked Nov 4, 2014 by sreemathi.v

1 answer

If $ 6x = \sec \theta $ and $ \large\frac{6}{x}$$= \tan \theta $, then the value of $36 \bigg(x^2 - \large\frac{1}{x^2} \bigg)$ is __________

asked Nov 3, 2014 by meena.p

2 answers

If $\cos \theta = \large\frac{3}{4}$ then the value of $9 \tan ^2 \theta +9 $ is ______

asked Nov 3, 2014 by meena.p

1 answer

If $ \sin \theta + \cos \theta = \sqrt 2 \cos (90^{\circ}- \theta)$ then $\cot \theta $ is

asked Nov 3, 2014 by meena.p

1 answer

If $ \cos \theta = \large\frac{2}{3}$, then $2 \sec^2 \theta+2 \tan ^2 \theta -7$ is equal to

asked Nov 3, 2014 by meena.p

1 answer

If $x \tan 45^{\circ} \cos 60^{\circ} = \sin 60^{\circ} cot 60^{\circ}$, then x=_______

asked Nov 3, 2014 by meena.p

1 answer

The value of $\cos ^{\circ} \cos 2^{\circ} \cos 3^{\circ}...... \cos 179^{\circ} \cos 180^{\circ}$

asked Nov 3, 2014 by meena.p

1 answer

The value of $\theta$ satisfying $\sqrt 3 \sin \theta =\cos \theta$ is ________

asked Nov 3, 2014 by meena.p

1 answer

If $\sec 3A= cos (A-26^{\circ})$ where $3A$ is an angle, then the value of A is ________

asked Nov 3, 2014 by meena.p

1 answer

If $\sec 4A= cosec (A-20^{\circ})$ where $4A$ is an angle, then th value of A is ________

asked Nov 3, 2014 by meena.p

1 answer

If $A,B,C$ are the interior angles of a triangle $ABC$, then $\tan \bigg(\large\frac{B+C}{2} \bigg)$$=_____

asked Nov 3, 2014 by meena.p

1 answer

The value of $\tan 5^{\circ} \tan 25^{\circ} \tan 30^{\circ} \tan 65^{\circ} \tan 85^{\circ}$ is

asked Nov 3, 2014 by meena.p

1 answer

The value of $\tan 1^{\circ} \tan 2^{\circ} \tan 3^{\circ}....... \tan 89^{\circ}$ is ________

asked Nov 3, 2014 by meena.p

1 answer

The HCF of 95 and 152 is

asked Nov 3, 2014 by sreemathi.v

1 answer

Let $x=\large\frac{p}{q}$ be a rational number,such that the prime factorization of $q$ is not of the form $2^m\times 5^n$,where $m$ and $n$ are non-negative integers,then $x$ has a decimal expansion which is

asked Nov 3, 2014 by sreemathi.v

1 answer

Say True or False : The product of any three consecutive natural number is divisible by $6$.

asked Nov 3, 2014 by sreemathi.v

1 answer

If $\sqrt p+\sqrt q$ is an irrational number then,_______

asked Nov 3, 2014 by sreemathi.v

1 answer

For any positive real number $x$,there exists an irrational number $y$ such that _______

asked Nov 3, 2014 by sreemathi.v

1 answer

If $\sqrt P$ is an irrational number then $P$ is ______

asked Nov 3, 2014 by sreemathi.v

1 answer

If $a$ and $b$ are co-prime numbers,then $a^2$ and $b^2$ are

asked Nov 3, 2014 by sreemathi.v

1 answer

If $P_1$ and $P_2$ are two odd prime numbers such that $P_1 > P_2$,then $P_1^2-P_2^2$ is

asked Nov 3, 2014 by sreemathi.v

1 answer

The sum of two irrational numbers is an irrational number.

asked Nov 3, 2014 by sreemathi.v

1 answer

Every integer is of the form $2m$,where $m$ is an integer.Is this a True or False statement.

asked Nov 3, 2014 by sreemathi.v

1 answer

If $2^n\times 5^n$ ends in $5$ then the value of $n$ is _____

asked Nov 3, 2014 by sreemathi.v

1 answer

If $n$ is a natural number,then $9^{2n}-4^{2n}$ is always divisible by

asked Nov 3, 2014 by sreemathi.v

1 answer

If $3$ is the least prime factor of number $a$ and $7$ is the least prime factor of number $b$,then the least prime factor of $a+b$ is ______

asked Nov 3, 2014 by sreemathi.v

1 answer

For any positive integer $'n'$,$n^3-n$ is divisible by _________

asked Nov 3, 2014 by sreemathi.v

1 answer

Three numbers which are in A.P whose sum is $15$ and product 80 are _______

asked Nov 3, 2014 by sreemathi.v

1 answer

Divide $24$ into three parts such that they are in A.P and their product is $440$.

asked Nov 3, 2014 by sreemathi.v

1 answer

In $\Delta PQR$ , right angled at $Q, PQ = 3 \;cm$ and $PR= 6\;cm$ . Then the value of $ \Delta P $ and $\Delta R$ is ________

asked Nov 3, 2014 by meena.p

1 answer

Santhosh buys a refrigerator for Rs.12,000.He pays Rs.6000 cash and agrees to pay the balance in annual installments of Rs.500 together with $12\%$ interest on the unpaid amount.How much will the refrigerator cost him?

asked Nov 3, 2014 by sreemathi.v

1 answer

If the sum of $n,2n$ and $3n$ terms of an A.P are $S_1,S_2$ and $S_3$ respectively then,$S_3=$_______

asked Nov 3, 2014 by sreemathi.v

1 answer

If $ \sin (A+B) =1$ and $\cos (A-B)= \large\frac{\sqrt 3}{2}, 0^{\circ} $$< (A+B) \leq 90^{\circ}, A > B $ then the value of A and B is ________

asked Nov 3, 2014 by meena.p

1 answer

The angles of a quadrilateral are in A.P whose common difference is $10^{\large\circ}$.The measures of the angles of the quadrilateral are _______

asked Nov 3, 2014 by sreemathi.v

1 answer

The value of $\theta$ if $3 \tan ^2 \theta -1 =0$ is

asked Nov 3, 2014 by meena.p

1 answer

A piece of equipment cost a factory $6,00,000$.If it depreciates in value $15\%$ the first,$13.5\%$ the next year,$12\%$ the third year and so on,what will be the value at the end of $10$ years,all percentages applying to the original cost?

asked Nov 3, 2014 by sreemathi.v

1 answer

If $2 \cos 3 \theta =1$ then the value of $\theta$ is ________

asked Nov 3, 2014 by meena.p

1 answer

The value of $ \large\frac{\cos 30^{\circ}+\sin 60^{\circ}}{1+ \cos 60^{\circ}+ \sin 30^{\circ}}$ is _______

asked Nov 3, 2014 by meena.p

1 answer

The houses of a row is numbered consecutively from 1 to 49.Let $x$ be a value such that the sum of numbers of the houses preceding the house numbered $x$ is equal to the sum of the numbers of the houses following it.The value of $x$ is

asked Nov 3, 2014 by sreemathi.v

1 answer

In a right angled triangle right angle at A, if $\tan C= \sqrt 3$, then the value of $\sin B \cos C + \cos B \sin C$ is _______

asked Nov 3, 2014 by meena.p

1 answer

If $8 \tan A = 15$ then $\sin A - \cos A$ is ___

asked Nov 3, 2014 by meena.p

1 answer

If $ \tan \theta = \large\frac{20}{21}$, then the value of $\large\frac{1- \sin \theta + \cos \theta }{1+ \sin \theta + \cos \theta }$ is _______

asked Nov 3, 2014 by meena.p

0 answers

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