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Recent questions in Class 10
Questions
>>
Olympiad-Math
>>
Class 10
$\large\frac{13}{3125}$ 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
The value of $\theta$ if $3 \tan ^2 \theta -1 =0$ is
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
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?
olympiad
math
ch-5
arithmetic-progression
class10
asked
Nov 3, 2014
by
sreemathi.v
1
answer
If $2 \cos 3 \theta =1$ then the value of $\theta$ is ________
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
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
olympiad
math
ch-5
arithmetic-progression
class10
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 _______
sat
trigonometry
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
1
answer
If $8 \tan A = 15$ then $\sin A - \cos A$ is ___
olympiad
math
ch-10
trigonometry-and-its-applications
class10
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 _______
olympiad
math
ch-10
trigonometry-and-its-applications
class10
asked
Nov 3, 2014
by
meena.p
0
answers
The coordinate of the circum centre of the triangle formed by the points $0(0,0), A(a,0)$ and $B(o,b)$ are
olympiad
math
ch-6
coordinate-geometry
class10
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 ________
olympiad
math
ch-6
coordinate-geometry
class10
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 ____
olympiad
math
ch-6
coordinate-geometry
class10
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=$
olympiad
math
ch-6
coordinate-geometry
class10
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 ________
olympiad
math
ch-6
coordinate-geometry
class10
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 _______
olympiad
math
ch-5
arithmetic-progression
class10
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?
olympiad
math
ch-5
arithmetic-progression
class10
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
olympiad
math
ch-5
arithmetic-progression
class10
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 _____
olympiad
math
ch-5
arithmetic-progression
class10
asked
Oct 31, 2014
by
sreemathi.v
1
answer
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