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Class 10 Exam  >  Class 10 Tests  >  HOTs for Maths Olympiad - 7 - Class 10 MCQ

HOTs for Maths Olympiad - 7 - Class 10 MCQ


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10 Questions MCQ Test - HOTs for Maths Olympiad - 7

HOTs for Maths Olympiad - 7 for Class 10 2024 is part of Class 10 preparation. The HOTs for Maths Olympiad - 7 questions and answers have been prepared according to the Class 10 exam syllabus.The HOTs for Maths Olympiad - 7 MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for HOTs for Maths Olympiad - 7 below.
Solutions of HOTs for Maths Olympiad - 7 questions in English are available as part of our course for Class 10 & HOTs for Maths Olympiad - 7 solutions in Hindi for Class 10 course. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free. Attempt HOTs for Maths Olympiad - 7 | 10 questions in 15 minutes | Mock test for Class 10 preparation | Free important questions MCQ to study for Class 10 Exam | Download free PDF with solutions
HOTs for Maths Olympiad - 7 - Question 1
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Read the given statements and select the incorrect option.

Detailed Solution for HOTs for Maths Olympiad - 7 - Question 1

The Pythagorean theorem only applies to right triangles, not all triangles.

HOTs for Maths Olympiad - 7 - Question 2
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Read the given statements and select the incorrect option.

Detailed Solution for HOTs for Maths Olympiad - 7 - Question 2

All the given statements are correct:
A. Parallelogram with equal diagonals is a rectangle.
B. Parallelogram with perpendicular diagonals is a rhombus.
C. Square is a rectangle with all sides equal.

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HOTs for Maths Olympiad - 7 - Question 3
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Read the following statements carefully and state ‘T’ for true and ‘F’ for false.

(i) The arithmetic mean of the numbers 2, 4, 6, 8, and 10 is 6.
(ii) The median of the numbers 1, 3, 5, 7, and 9 is 5.
(iii) The mode of the numbers 1, 2, 2, 3, 4 is 2.

Detailed Solution for HOTs for Maths Olympiad - 7 - Question 3

(i) The arithmetic mean of 2, 4, 6, 8, and 10 is  True.
(ii) The median of 1, 3, 5, 7, and 9 is the middle value, which is 5. True.
(iii) The mode of 1, 2, 2, 3, 4 is the most frequent number, which is 2. True.

HOTs for Maths Olympiad - 7 - Question 4
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Read the following statements carefully and state ‘T’ for true and ‘F’ for false.

(i) The solution to the equation 2x + 3 = 7 is x = 2.
(ii) The function f(x) = 2x + 5 is a linear function.
(iii) The function f(x) = x2 + 2x + 1 is a quadratic function.
Detailed Solution for HOTs for Maths Olympiad - 7 - Question 4

HOTs for Maths Olympiad - 7 - Question 5
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Fill in the blanks and select the correct option.

(i) The value of sin2 45° + cos2 45° is P.

(ii) The value of tan 45° x cot 45° is Q.
Detailed Solution for HOTs for Maths Olympiad - 7 - Question 5

HOTs for Maths Olympiad - 7 - Question 6
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Fill in the blanks and select the correct option.

(i) The sum of the first 10 natural numbers is P.
(ii) The sum of the first 10 even numbers is Q.
Detailed Solution for HOTs for Maths Olympiad - 7 - Question 6

(i) The sum of the first n natural numbers is given by 
(ii) The sum of the first n even numbers is n(n + 1).
For n = 10,Q=10⋅11=110.

HOTs for Maths Olympiad - 7 - Question 7
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Read the following statements and select the correct option.

Statement-I: If the sides of a right triangle are in the ratio 3 : 4 : 5, then it is a Pythagorean triplet.

Statement-II: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Detailed Solution for HOTs for Maths Olympiad - 7 - Question 7

A right triangle with sides in the ratio 3:4:5 is a Pythagorean triplet, as 32 + 42 =52 . Statement-II is the Pythagorean theorem, which is always true for right triangles. Therefore, both statements are true.

HOTs for Maths Olympiad - 7 - Question 8
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Read the following statements and select the correct option.

Statement I: If two lines are parallel, then their slopes are equal.

Statement II: If two lines are perpendicular, the product of their slopes is −1.
Detailed Solution for HOTs for Maths Olympiad - 7 - Question 8

Statement-I is correct because if two lines are parallel, their slopes are equal.
Statement-II is correct because if two lines are perpendicular, the product of their slopes is −1.

HOTs for Maths Olympiad - 7 - Question 9
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Solve the following and select the correct option.

(i) Find the coordinates of the centroid of a triangle with vertices at (0, 0), (6, 0), and (0,8).

(ii) If a circle is inscribed in a square of side length 10 cm, find the area of the circle.
Detailed Solution for HOTs for Maths Olympiad - 7 - Question 9


HOTs for Maths Olympiad - 7 - Question 10
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Solve the following and select the correct option.

(i) If the circumference of a circle is 44 cm, find its radius. Use π = 22/7.
(ii) The sum of three consecutive integers is 33. Find the integers.
Detailed Solution for HOTs for Maths Olympiad - 7 - Question 10

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