Test Details

Pair of Linear Equations in Two Variables, Polynomials and 1 other Topics

Mcqs

Jan 20, 7:00 PM

40 minutes

Jan 31, 8:00 PM

60.0 marks

MCQ

30 questions

SOFI, HILAL AHMAD

teaching high school math from more than 8 years

Class Details

Math

Class 10th

Math

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Question Text

Question 1 :
The ages of two friends Ani and Biju differ by 3 years. Ani’s father Dharam is twice as old as Ani and Biju is twice as old as his sister Cathy. The ages of Cathy and Dharam differ by 30 years. Find the ages of Ani and Biju.

Question 2 :
Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed are parallel lines.

Question 3 :
Every solution of the equation is a _________ on the line representing it.

Question 4 :
Is the pair of equations x + 2y – 3 = 0 and 6y + 3x – 9 = 0 consistent?

Question 5 :
The ratio of incomes of two persons is 9 : 7 and the ratio of their expenditures is 4 : 3. If each of them manages to save Rs. 2000 per month, find their monthly incomes.

Question 6 :
What are the LCM and HCF (by prime factorisation method) of 96 and 404?

Question 8 :
Without actually performing the long division, state whether $\frac{64}{455}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Question 9 :
State True or False, Let x = $\frac{p}{q}$, where p and q are coprimes, be a rational number, such that the prime factorisation of q is not of the form $2^n5^m$, where n, m are non-negative integers. Then, x has a decimal expansion which is non-terminating repeating (recurring).

Question 10 :
State true or false: The square of any positive integer is either of the form 4q or 4q + 1 for some integer q.

Question 11 :
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is _____ .

Question 12 :
Can $6^n$ end with the digit 0 for any natural number n ?

Question 13 :
What are the LCM and HCF of 12, 15 and 21?

Question 14 :
Any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer. TRUE or FALSE ?

Question 16 :
(7 × 11 × 13 + 13) and (7 × 6 × 5 × 4 × 3 × 2 × 1 + 5) are composite numbers. TRUE or FALSE ?

Question 18 :
Use Euclid's division algorithm to find the HCF of : 196 and 38220

Question 19 :
Using Euclid’s division lemma can we show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m?

Question 20 :
If n is an odd integer, then $n^2 $– 1 is divisible by 8. Is it true?

Question 21 :
If one zero of the quadratic polynomial $x^2+3x+k$ is 2, then the value of $k$ is:

Question 22 :
Find the zeroes of the quadratic polynomial using the given sum and product respectively of the zeroes: $-\frac{8}{3}$, $\frac{4}{3}$

Question 23 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bdf273b230584979a33.png' /> Look at the graph given 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 25 :
The zeroes of the polynomial $x^4-6x^3-26x^2-138x-35$ are $2\pm \sqrt {3}$, 7, -5.

Question 26 :
3, –1, $-\frac {1}{3}$ are the zeroes of the cubic polynomial $p\left(x\right)=3x^3-5x^2-11x-3$. Is it correct or not?

Question 27 :
If the zeroes of the quadratic polynomial $x^2+\left(a+1\right)x+b$ are 2 and -3, then:

Question 28 :
Given that the zeroes of the cubic polynomial $x^3-6x^2+3x+10$ are of the form a, a+b, a+2b for some real numbers a and b, find the value of a.

Question 29 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19a54273b230584979923.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 30 :
Find a quadratic polynomial, the sum and product of whose zeroes are 1 and 1, respectively.

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