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Recent questions tagged class10
Questions
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
$\large\frac{13}{3125}$ is a ________ decimal
olympiad
math
ch-1
real-numbers
class10
asked
Nov 4, 2014
by
sreemathi.v
1
answer
If $ 6x = \sec \theta $ and $ \large\frac{6}{x}$$= \tan \theta $, then the value of $36 \bigg(x^2 - \large\frac{1}{x^2} \bigg)$ is __________
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
2
answers
If $\cos \theta = \large\frac{3}{4}$ then the value of $9 \tan ^2 \theta +9 $ is ______
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
If $ \sin \theta + \cos \theta = \sqrt 2 \cos (90^{\circ}- \theta)$ then $\cot \theta $ is
sat
math
trigonometry
olympiad
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
If $ \cos \theta = \large\frac{2}{3}$, then $2 \sec^2 \theta+2 \tan ^2 \theta -7$ is equal to
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
If $x \tan 45^{\circ} \cos 60^{\circ} = \sin 60^{\circ} cot 60^{\circ}$, then x=_______
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
The value of $\cos ^{\circ} \cos 2^{\circ} \cos 3^{\circ}...... \cos 179^{\circ} \cos 180^{\circ}$
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
The value of $\theta$ satisfying $\sqrt 3 \sin \theta =\cos \theta$ is ________
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
If $\sec 3A= cos (A-26^{\circ})$ where $3A$ is an angle, then the value of A is ________
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
If $\sec 4A= cosec (A-20^{\circ})$ where $4A$ is an angle, then th value of A is ________
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
If $A,B,C$ are the interior angles of a triangle $ABC$, then $\tan \bigg(\large\frac{B+C}{2} \bigg)$$=_____
olympiad
math
ch-10
trigonometry-and-its-applications
class10
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
olympiad
math
ch-10
trigonometry-and-its-applications
class10
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 ________
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
The HCF of 95 and 152 is
olympiad
math
ch-1
real-numbers
class10
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
olympiad
math
ch-1
real-numbers
class10
asked
Nov 3, 2014
by
sreemathi.v
1
answer
Say True or False : The product of any three consecutive natural number is divisible by $6$.
olympiad
math
ch-1
real-numbers
class10
asked
Nov 3, 2014
by
sreemathi.v
1
answer
If $\sqrt p+\sqrt q$ is an irrational number then,_______
olympiad
math
ch-1
real-numbers
class10
asked
Nov 3, 2014
by
sreemathi.v
1
answer
For any positive real number $x$,there exists an irrational number $y$ such that _______
olympiad
math
ch-1
real-numbers
class10
asked
Nov 3, 2014
by
sreemathi.v
1
answer
If $\sqrt P$ is an irrational number then $P$ is ______
olympiad
math
ch-1
real-numbers
class10
asked
Nov 3, 2014
by
sreemathi.v
1
answer
If $a$ and $b$ are co-prime numbers,then $a^2$ and $b^2$ are
olympiad
math
ch-1
real-numbers
class10
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
olympiad
math
ch-1
real-numbers
class10
asked
Nov 3, 2014
by
sreemathi.v
1
answer
The sum of two irrational numbers is an irrational number.
olympiad
math
ch-1
real-numbers
class10
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.
olympiad
math
ch-1
real-numbers
class10
asked
Nov 3, 2014
by
sreemathi.v
1
answer
If $2^n\times 5^n$ ends in $5$ then the value of $n$ is _____
olympiad
math
ch-1
real-numbers
class10
asked
Nov 3, 2014
by
sreemathi.v
1
answer
If $n$ is a natural number,then $9^{2n}-4^{2n}$ is always divisible by
olympiad
math
ch-1
real-numbers
class10
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 ______
olympiad
math
ch-1
real-numbers
class10
asked
Nov 3, 2014
by
sreemathi.v
1
answer
For any positive integer $'n'$,$n^3-n$ is divisible by _________
olympiad
math
ch-1
real-numbers
class10
asked
Nov 3, 2014
by
sreemathi.v
1
answer
Three numbers which are in A.P whose sum is $15$ and product 80 are _______
olympiad
math
ch-5
arithmetic-progression
class10
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 $440$.
olympiad
math
ch-5
arithmetic-progression
class10
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 ________
olympiad
math
ch-10
trigonometry-and-its-applications
class10
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?
olympiad
math
ch-5
arithmetic-progression
class10
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,$S_3=$_______
olympiad
math
ch-5
arithmetic-progression
class10
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 ________
olympiad
math
ch-10
trigonometry-and-its-applications
class10
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 _______
olympiad
math
ch-5
arithmetic-progression
class10
asked
Nov 3, 2014
by
sreemathi.v
1
answer
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