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Theorems No Circle Class 10 Ch-10

PROOF OF IMPORTANT THEOREMS ON THE CIRCLE Coplete explanation with proof of Theorem 10.1 and  theorem 10.2 class 10 chapter 10, strictly based on NCERT Book and syllabus.

Maths Quiz Questions with Answers Part - 1

Question Bank for Quiz competition
VIII, IX and X standard

Maths Quiz Questions with Answers. Let us answer here some of the quizzes which are based on the basic concepts and formulas of classes 7th , 8th , 9th and 10th  concepts.

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Question: 1

Define fundamental theorem  of arithmetic.

Ans : Every composite number can be expressed as the product of primes and this factorization is unique irrespective of order of factors.

Question: 2

What is the largest prime number of two digit.    

Ans : 97

Question: 3

How many times can you subtract 100 from 2000.

Ans : Only Once

Question: 4

Out of following   -1, 0 & 1, which are integers?  

Ans : All of these

Question: 5
A person has 4 sons. If each brother has one sister, then how many children are there?

Ans : 5

Question: 6
What is the condition of the denominator of a terminating decimal .   

Ans : 2x 5n

Question: 7
What are irrational decimals.
Ans : Non-terminating and non-recurring decimals are called rational decimals.

Question: 8
Define   co-prime number, give any example?     
Ans : When HCF of two numbers is 1, then numbers are called co-prime numbers. For Example  5, 6

Question: 9
What is the value of  50 + 50/100  
Ans : 50.5

Question: 10
Define Rational Number.
Ans : The numbers which can be put in the form of p/q (q ≠ 0) are called rational numbers.

Question: 11
Define prime numbers.       
Ans : The numbers which have only two factors are called prime numbers. 2 is the smallest prime number and is the only even prime.

Question: 12
What is the smallest odd composite number.   
Ans : 9

Question: 13
Product of two number is 1800 if LCM of two number is 180 then what is its H.C.F. 
Ans : 10

Question: 14
Who many prime numbers are there in the counting from 1 to hundred
Ans : 25

Question: 15
What is the area of trapezium whose sum of parallel sides is 17 cm and height of trapezium is 4 cm.
Ans : 34 cm2

Question: 16
What is the total surface area of cylinder whose radius is 2cm and height is 5 cm. 
Ans : 88 cm2

Question: 17
What is the  diagonal of cube of side 3 cm.
Ans:    Formula used : equation

Question: 18
Expand the identity:-    a- b3
Ans : (a - b)(a2  +  b2  +  ab)

Question: 19
What is the area of circle of radius 7 cm 
Ans : 154 cm2

Question: 20
What is  the diagonal of cuboid of dimension 4 cm, 3 cm, 2 cm  
Ans: 
If a, b, c are the dimensions of cuboid then diagonal is given by  equation

Question:  21

Using suitable identity find the value of:-     (6)+ (5)+ ( - 11)

Ans :  - 990

If a + b + c = 0, then a+ b+ c= 3abc

Question:  22
What is the smallest no. of three digits which is divisible by  11.  
Ans : 110

Question:  23
Expand the identity:-    a+ b3   
Ans : (a + b)(a2 + b2 – ab)

Question:  24
What is the common formula used for finding the area of square and rhombus.
Ans :  equation

Question:  25
What is the sum of all exterior angles of a regular hexagon (or polygon).
Ans : 360o

Question:  26
What is measure of each interior angle of regular hexagon. 
Ans : [120o] Formula used : equation

Question:  27
What we call the  point that lies on all the diameters of the circle. 
Ans : Centre of the circle

Question:  28
What is the probability of getting a spade or 10 in a deck of 52 playing cards.
Ans : 16/52
Explanation: Number of spade = 13
No. of 10 other than spade = 3
P(spade or 10) = 16 / 52

Question:  29
What is the sum of all interior angles of a regular heptagon  (side 7)
Ans : (n - 2) x 180 = 900o (here n = 7)

Question:  30
Find the class mark of the class interval    156 – 188 

Ans : 172    equation

Question:  31
Find the class size of the class interval    156 – 188 
Ans : 32 ( Upper Limit - Lower Limit )

Question:  32
How many diagonals an octagon can have ? 
Ans : [20] Formula used :  equation

Question:  33
Expand the identity:-    a+ b+ c- 3abc  
Ans : (a + b + c)(a2 + b2 + c2 – ab – bc - ca)

Question:  34
What is the formula of finding mode of the grouped data. 

Ans :  equation

Question:  35
What is the probability of finding at least  two tails when three coins are tossed.
Ans : 4/8 or 1/ 2

Question:  36
What angle is the  50 %  of its complementary.
Ans : 30o

Question:  37
What is the probability of getting face card or ace card.
Ans : 16/52 
No. of face card = 12, No. of ace card = 4

Question:  38
What is the special name of the quadrilateral whose all sides are equal but diagonals are not equal.  
Ans : Rhombus

Question:  39
Define Altitude of the triangles.
Ans : It is the line segment from the vertex of a tringle and is perpendicular to the opposite side.

Question:  40
What is the probability of getting a queen or a black card in a deck of 52 playing cards. 
Ans : 28/52 
Number of black cards = 26
No. of red queen = 2

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