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Class 9 Exam  >  Class 9 Tests  >  Mathematics Olympiad for Class 9  >  High Order Thinking Skills (HOTs) - 3 - Class 9 MCQ

High Order Thinking Skills (HOTs) - 3 - Class 9 MCQ


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10 Questions MCQ Test Mathematics Olympiad for Class 9 - High Order Thinking Skills (HOTs) - 3

High Order Thinking Skills (HOTs) - 3 for Class 9 2024 is part of Mathematics Olympiad for Class 9 preparation. The High Order Thinking Skills (HOTs) - 3 questions and answers have been prepared according to the Class 9 exam syllabus.The High Order Thinking Skills (HOTs) - 3 MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for High Order Thinking Skills (HOTs) - 3 below.
Solutions of High Order Thinking Skills (HOTs) - 3 questions in English are available as part of our Mathematics Olympiad for Class 9 for Class 9 & High Order Thinking Skills (HOTs) - 3 solutions in Hindi for Mathematics Olympiad for Class 9 course. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free. Attempt High Order Thinking Skills (HOTs) - 3 | 10 questions in 15 minutes | Mock test for Class 9 preparation | Free important questions MCQ to study Mathematics Olympiad for Class 9 for Class 9 Exam | Download free PDF with solutions
High Order Thinking Skills (HOTs) - 3 - Question 1
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Solve the following questions and select the correct option.
(i) If (x+2) and (x-3) are the factors of px3+2x2-5x+q, then find the value of (p+q).

Detailed Solution for High Order Thinking Skills (HOTs) - 3 - Question 1

(i) Given factors (x+2) and (x-3), substituting in the polynomial px3+2x2-5x+q, we get:

P(−2)3+2(−2)2−5(−2)+q=0
⇒−8p+8+10+q=0
⇒−8p+q+18=0
⇒q=8p−18
P(3)3+2(3)2−5(3)+q=0
⇒27p+18−15+q=0
⇒27p+q+3=0
⇒q=−27p−3
8p−18=−27p−3
⇒35p=15
⇒p=3/7
​⇒q=8x3/7​−18=24/7 - 18 = -102/7

High Order Thinking Skills (HOTs) - 3 - Question 2
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Solve the following questions and select the correct option.
If (x+4) and (x−2) are the factors of  px3 −3x2 +x+q, then find the value of (p+q).

Detailed Solution for High Order Thinking Skills (HOTs) - 3 - Question 2

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High Order Thinking Skills (HOTs) - 3 - Question 3
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Solve the following questions and select the correct option.
(i) If (x+5) and (x−1) are the factors of px3 +4x2 +2x+q, then find the value of ( �� + �� ) (p+q).
(ii) then find the value of xyz.

Detailed Solution for High Order Thinking Skills (HOTs) - 3 - Question 3

High Order Thinking Skills (HOTs) - 3 - Question 4
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Solve the following questions and select the correct option.

(i) If  (x+6) and (x−3) are the factors of  px3 +3x2 −6x+q, then find the value of (p+q).

(ii) If a+b+c=3, then find the value of abc.
Detailed Solution for High Order Thinking Skills (HOTs) - 3 - Question 4

High Order Thinking Skills (HOTs) - 3 - Question 5
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Solve the following questions and select the correct option.

(i) If  (x+7) and ( �� − 2 ) (x−2) are the factors of px3 −5x2 +4x+q, then find the value of (p+q).

(ii) If x=1,y=−1,z=1, then find the value of xyz.
Detailed Solution for High Order Thinking Skills (HOTs) - 3 - Question 5

High Order Thinking Skills (HOTs) - 3 - Question 6
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Solve the following questions and select the correct option.

(i) If  (x+3) and (x−4) are the factors of px3 +x2 +3x+q, then find the value of (p+q).

(ii) If x2 + y2 + z2=14, then find the value of xyz.
Detailed Solution for High Order Thinking Skills (HOTs) - 3 - Question 6

High Order Thinking Skills (HOTs) - 3 - Question 7
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Solve the following questions and select the correct option.

(i) If  (x+5) and (x−6) are the factors of px3 +2x2 - x+q, then find the value of (p+q).

(ii) If , then find the value of abc.
Detailed Solution for High Order Thinking Skills (HOTs) - 3 - Question 7

High Order Thinking Skills (HOTs) - 3 - Question 8
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Solve the following questions and select the correct option.

(i) If  (x+2) and (x−5) are the factors of px3 - 4x2 + 2x+q, then find the value of (p+q).

(ii) If x+y+z=0 and x2 +y2 +z2 =20, then find the value of xyz.
Detailed Solution for High Order Thinking Skills (HOTs) - 3 - Question 8

High Order Thinking Skills (HOTs) - 3 - Question 9
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Solve the following questions and select the correct option.

(i) If  (x+1) and (x−3) are the factors of px3 + x2 + 4x+q, then find the value of (p+q).

(ii) If a+b+c=0 and a2 +b2 +c2 =18, then find the value of xyz.
Detailed Solution for High Order Thinking Skills (HOTs) - 3 - Question 9

High Order Thinking Skills (HOTs) - 3 - Question 10
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Solve the following questions and select the correct option.

(i) If  (x+4) and (x−2) are the factors of px3 + 2x2 - 5x+q, then find the value of (p+q).

(ii) If , then find the value of xyz.
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