Practice Test Class X Maths
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The number of solution of the linear pair x - 7y= 12, 2x− 21y= -24
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No Solution
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Unique Solutions
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Infinite Solutions
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Non Zero Solution
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General Instructions:
1. Fill the entries.
2. All questions are compulsory.
3. Students have to solve 10 questions (by marking correct alternate/
answer )in 20 minutes.
4. Each question carry one mark.
5. At the end of test, send your certificate of score See morewithin 10 minutes to
whatsapp no. 9870635497., Otherwise you will be marked absent.
NOTE: 1. Each student will receive different questions.
2. Arrange pen and paper for calculations.
Quiz Preview
- 2.
There are 10 students in XII class. Some are maths and some bio student. The no of bio students are 4 more then math’s students. Find the no of math’s and bio students
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1, 9
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4, 6
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2, 8
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3, 7
Correct Answer
A. 3, 7Explanation
In this question, we are given that there are 10 students in the XII class, and some are math students while others are bio students. We are also given that the number of bio students is 4 more than the number of math students. To find the number of math and bio students, we need to look for an option where the math students are 3 and the bio students are 7. This satisfies the given condition that the number of bio students is 4 more than the number of math students. Therefore, the correct answer is 3, 7.Rate this question:
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- 3.
P(x) =x-1 and g(x) =x2-2x +1 . p(x) is a factor of g(x)
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True
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False
Correct Answer
A. TrueExplanation
The given statement is true because if p(x) is a factor of g(x), it means that g(x) can be divided evenly by p(x) without leaving a remainder. In this case, when we divide g(x) by p(x), we get a quotient of x and a remainder of 0, indicating that p(x) is indeed a factor of g(x).Rate this question:
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- 4.
Find the value of p for which the linear pair has infinite solution 12x+14y=0, 36x+py=0
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14
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28
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56
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42
Correct Answer
A. 42Explanation
To find the value of p for which the linear pair has infinite solutions, we need to determine when the two equations are dependent. This occurs when the ratio of the coefficients of x and y in both equations is the same. In the given equations, the ratio of the coefficients of x is 12/36 = 1/3, and the ratio of the coefficients of y is 14/p. To have infinite solutions, these ratios must be equal. Therefore, 1/3 = 14/p. Cross multiplying gives us 1p = 14 * 3, which simplifies to p = 42. Hence, the value of p for which the linear pair has infinite solutions is 42.Rate this question:
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- 5.
S(x) = px2+(p-2)x +2. If 2 is the zero of this polynomial, what is the value of p
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-1
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1/2
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1/3
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1
Correct Answer
A. 1/3 -
- 6.
If the zeroes of the quadratic equation are 11 and 2 , what is expression for quadratic
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X2-13x+22
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X2-11x+22
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X2-13x-22
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X2+13x-22
Correct Answer
A. X2-13x+22Explanation
The given quadratic equation has the zeroes 11 and 2. In a quadratic equation, the expression is of the form ax^2 + bx + c, where a, b, and c are constants. The sum of the zeroes is equal to the coefficient of the x term with the opposite sign, divided by the coefficient of the x^2 term. In this case, the sum of the zeroes is 11 + 2 = 13. Therefore, the coefficient of the x term should be -13. The constant term is found by multiplying the zeroes, which is 11 * 2 = 22. Therefore, the expression for the quadratic equation is x^2 - 13x + 22.Rate this question:
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- 7.
Find the remainder when x4+x3-2x2+x+1 is divided by x-1
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1
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5
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2
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3
Correct Answer
A. 2Explanation
When we divide the polynomial x^4 + x^3 - 2x^2 + x + 1 by x - 1 using synthetic division, we get a remainder of 2. Therefore, the correct answer is 2.Rate this question:
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- 8.
Which of the below pair are consistent pair?
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X+3y=3 , 3x + 9y=2
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51x+68y=110 ,3x+4y=99
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2x+3y=10 , 9x+11y=12
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None of these
Correct Answer
A. 2x+3y=10 , 9x+11y=12Explanation
The given pair of equations, 2x+3y=10 and 9x+11y=12, is consistent because it is possible to find values of x and y that satisfy both equations simultaneously.Rate this question:
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- 9.
Graph of polynomial (x2-1) meets the x-axis at one point
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True
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False
Correct Answer
A. FalseExplanation
The given statement is false because the graph of the polynomial (x^2-1) meets the x-axis at two points. This can be determined by setting the polynomial equal to zero and solving for x, which yields x=1 and x=-1 as the x-intercepts. Therefore, the graph intersects the x-axis at two points, not one.Rate this question:
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- 10.
Line 4x+5y=0 and 11x+17y=0 both passes through origin
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True
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False
Correct Answer
A. TrueExplanation
Both equations, 4x+5y=0 and 11x+17y=0, can be rewritten in the form y = mx, where m is the slope. When x=0 (which is the origin), y=0 for both equations. This means that both lines pass through the origin (0,0). Therefore, the answer is true.Rate this question:
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