Test Details

Polynomials,Real Numbers

Math Class 10

Apr 01, 11:00 AM

60 minutes

Apr 02, 11:00 AM

40.0 marks

MCQ

20 questions

Prakash Academy

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Class Details

Mathematics

Class 10

Mathematics

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Question Text

Question 1 :
Can two numbers have 18 as their HCF and 380 as their LCM?

Question 2 :
How is 156 expressed as a product of its prime factors?

Question 3 :
Without actually performing the long division, state whether $\frac{35}{50}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Question 4 :
Find the LCM and HCF of the following integer by applying the prime factorisation method: 17, 23 and 29

Question 8 :
State true or false: From the fundamental theorem of arithmetic, we can say that every composite number can be expressed as a product of primes.

Question 9 :
An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?

Question 10 :
What are the LCM and HCF of 8, 9 and 25?

Question 11 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19a4f273b23058497991c.png' /> In the image above, the graph of $y=p\left(x\right)$, where $p\left(x\right)$ is a polynomial. Here, find the number of zeroes of $p\left(x\right)$

Question 13 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19a51273b23058497991f.png' /> In the image above, the graph of $y=p\left(x\right)$, where $p\left(x\right)$ is a polynomial. Here, find the number of zeroes of $p\left(x\right)$

Question 15 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19a52273b230584979920.png' /> In the image above, the graph of $y=p\left(x\right)$, where $p\left(x\right)$ is a polynomial. Here, find the number of zeroes of $p\left(x\right)$

Question 18 :
Find the zeroes of the quadratic polynomial $3x^{2} + 5x - 2$.

Question 19 :
Find all the zeros of $2x^4-3x^3-3x^2+6x-2$, if you know that two of its zeroes are $\sqrt{2}$ and $-\sqrt{2}$ .

Question 20 :
Find a quadratic polynomial, the sum and product of whose zeroes are 0 and $\sqrt {5}$, respectively.

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