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Recent questions in Class 10
Questions
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Olympiad-Math
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Class 10
If $x^a=c^b$ and $x^c=c^a$ then $a^2=$_
olympiad
math
ch-1
real-numbers
class10
asked
Nov 5, 2014
by
sreemathi.v
1
answer
The captain of an aeroplane who is flying at an alttitude of $1200\;m$ sights two ships at an angle of depression of $60^{\circ}$ and $30^{\circ}$. The distance between the two ships is ________
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 5, 2014
by
meena.p
1
answer
If $\big(\large\frac{a}{b}\big)^{x-1}=\big(\large\frac{b}{a}\big)^{x-3}$,then the value of $x$ is _____
olympiad
math
ch-1
real-numbers
class10
asked
Nov 5, 2014
by
sreemathi.v
1
answer
From the top of a $50\;m$ high building , the angle of depression of a car on the road is $30^{\circ}$. The distance between the car and the building is ________
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 5, 2014
by
meena.p
1
answer
If $x=2^{2n}$,then the value of $8.x^{\Large\frac{3}{2n}}-8.x^{-\Large\frac{3}{2n}}$ is __
olympiad
math
ch-1
real-numbers
class10
asked
Nov 5, 2014
by
sreemathi.v
1
answer
The value of $2\sqrt[3]{40}+3\sqrt[3]{625}-4\sqrt[3]{320}$ is _
olympiad
math
ch-1
real-numbers
class10
asked
Nov 5, 2014
by
sreemathi.v
1
answer
The rational form of $18.\overline{48}$ is ____
olympiad
math
ch-1
real-numbers
class10
asked
Nov 5, 2014
by
sreemathi.v
1
answer
$0$ is a ________ number
olympiad
math
ch-1
real-numbers
class10
asked
Nov 5, 2014
by
sreemathi.v
1
answer
The rational form of $0.37\overline{81}$ is _____
olympiad
math
ch-1
real-numbers
class10
asked
Nov 5, 2014
by
sreemathi.v
1
answer
If $\large\frac{5+2\sqrt 3}{7+4\sqrt 3}$$=a+b\sqrt 3$ then the value of $a$ and $b$ is
olympiad
math
ch-1
real-numbers
class10
asked
Nov 5, 2014
by
sreemathi.v
1
answer
If $x=\frac {\sqrt3 + 1}{2}$ then the value of $4x^3+2x^2-8x+7$
olympiad
math
ch-1
real-numbers
class10
asked
Nov 5, 2014
by
sreemathi.v
1
answer
The value for $\sqrt{252}-5\sqrt 6+\sqrt{294}-3\sqrt{\large\frac{1}{6}}$ is ______
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
The angle of elevation of a cloud from a point $60\;m$ above a lake is $30^{\circ}$ and the angle of depression of the lake of the cloud in the lake is $60^{\circ}$. The height of the cloud is
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
What is the value of $\large\frac{1}{1+\sqrt 2}+\frac{1}{\sqrt 2+\sqrt 3}+\frac{1}{\sqrt 3+\sqrt 4}$+...... 15 terms?
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
A kite is flying attached to a thread which is $165\;m$ long. The thread makes an angle of $30^{\circ}$ with the ground. The height of the kite from the ground is ________
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
If $x=\sqrt{\large\frac{5+2\sqrt 6}{5-2\sqrt 6}}$,then the value of $x^2(x-10)^2$ is ____
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
If $2 cosec^2 30^{\circ} + x \sin^2 60^{\circ}- \large\frac{3}{4} $$\tan^2 30 =10$ then the value of x is ________
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
If $a=2+\sqrt 3$,then the value of $a^3+\large\frac{1}{a^3}$ is _____
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
The value of $\sin (70^{\circ}+ \theta) - \cos (20^{\circ}- \theta )$=________
sat
math
trigonometry
olympiad
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
If $g=t^{\large\frac{2}{3}}+4t^{\large\frac{-1}{2}}$,then the value of $g$ when $t=64$ is ____
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
If $x=\large\frac{\sqrt 5+\sqrt 3}{\sqrt 5-\sqrt 3}$ and $y=\large\frac{\sqrt 5-\sqrt 3}{\sqrt 5+\sqrt 3}$ then the value of $x+y+xy$ is _____
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
If A and B are angle and $\sin A = \cos B$, then $A+B$ =______
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
If $\large\frac{\sqrt 3-1}{\sqrt 3+1}=$$a-b\sqrt 3$ then the value of $a$ and $b$ are __
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
If $x+\sqrt{15}=4$ ,then $x+\large\frac{1}{x}$ is _____
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
If $\sec \theta + \tan \theta =m$ and $\sec \theta - \tan \theta =n$ then $mn $ =______
sat
math
trigonometry
olympiad
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
The value of $\sqrt{5+2\sqrt 6}$ is _______
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
If $3 \sin \theta +5 \cos \theta =5$, then $5\sin \theta -3 \cos \theta$ =_____
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
If $\sqrt{14-b\sqrt{3}}=\sqrt 8+\sqrt 6$,then the value of $b$ is _____
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
If $a \cos \theta- b \sin \theta =c$ then $(a \cos \theta)$=________
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
If $x=3-2\sqrt 2$,then the value of $x^2+\large\frac{1}{x^2}$ is ___
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
If $x=2+\sqrt 3$,then the value of $x^2+\large\frac{1}{x^2}$ is ____
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
If $x=\large\frac{1}{2-\sqrt 3}$ then the value of $x^3-2x^2-7x+5$ ____
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
The value of $a^2+ab+b^2$ if $a=\large\frac{\sqrt 2+1}{\sqrt 2-1}$ and $b=\large\frac{\sqrt 2-1}{\sqrt 2+1}$ is ______
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
The value of $(cosec^2 \theta -1) \tan ^2 \theta =$ _____
sat
math
trigonometry
olympiad
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
The value of $ \sin ^2 32+ \sin ^2 58$ is ________
sat
math
trigonometry
olympiad
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
If $\sqrt{13-a\sqrt{10}}=\sqrt8+\sqrt 5$,then the value of $'a'$ are __
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
If $x= r \sin \theta \cos \phi , y = \sin \theta \sin \phi $, and $z= r \cos \theta ,$ then
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
The HCF of the smallest composite number are the smallest prime number is ________
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
If $ a \cot \theta + b\; cosec \theta =p$ and $b \cot \theta + a\; cosec \theta =q ,$ then $p^2-q^2=$
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
$\cos ^4 A - \sin ^4 A =$
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
The sum of the exponents of the prime factors in the prime factorization of $196$ is ____
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
If $\large\frac{\sin \theta}{1+\cos \theta}=$
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 4, 2014
by
meena.p
1
answer
The LCM of two numbers is $1200$.Then the number which is not its HCF is _____
olympiad
math
ch-1
real-numbers
class10
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 _____
olympiad
math
ch-1
real-numbers
class10
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 $a$=
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
2
answers
If HCF(26,169)=13,then LCM(26,169)=____
olympiad
math
ch-1
real-numbers
class10
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
olympiad
math
ch-1
real-numbers
class10
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 _______
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
Given that HCF (306,657)=9 then LCM (306,657) is ______
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
$\large\frac{125}{441}$ is a ______ decimal
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
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