1st Unit Test (Online) 2020

The given question is asking for the sum or difference of a proper fraction and an improper fraction. The term "অপৰিমেয়" means "improper" in English, so the answer "অপৰিমেয়" indicates that the result will be an improper fraction.

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The given question is in the Assamese language and it translates to "Determine true or false". The options provided are "True" and "False". The correct answer is "True".

When we multiply 103 and 97, we get the product 9991.

The given equation is (16)3/4. To solve this, we need to multiply 16 by 3 and then divide the result by 4. Multiplying 16 by 3 gives us 48. Dividing 48 by 4 gives us 12. Therefore, the correct answer is 12.

The given equation is x/4 + 2x/4 = 3. We can simplify this equation by combining the like terms on the left side of the equation. Both terms have the same denominator of 4, so we can add the numerators together. This gives us (x + 2x)/4 = 3. Simplifying further, we get 3x/4 = 3. To solve for x, we can multiply both sides of the equation by 4 to eliminate the denominator. This gives us 3x = 12. Dividing both sides by 3, we find that x = 4. Therefore, the correct answer is 4.

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The given options are numbers between 3.5 and 3.6. The correct answer is 3.55 because it is the only option that falls within this range. The other options either fall below or above this range.

The given expression is a polynomial of degree 4. The degree of a polynomial is determined by the highest power of the variable in the expression. In this case, the highest power is 4, so the degree is 4. Therefore, the correct answer is 4.

This answer is correct because the given equation (b-a)2=b2-a2-2ba is not true. The correct equation is (b-a)2=b2-2ab+a2. Therefore, the statement "সত্য" (true) is incorrect and the statement "অসত্য" (false) is correct.

The given numbers are 0 and -7. A whole number is a number that is not a fraction or a decimal and does not have a fractional or decimal part. In this case, 0 is a whole number because it is an integer and does not have a fractional or decimal part. Therefore, the correct answer is 0.

The given equation states that 1 minus 1 equals 1. This is a false statement because the correct answer is 0.

The given sequence of numbers does not follow any specific pattern or rule. However, the number 180 is the only number that is larger than both the numbers preceding and following it. Therefore, 180 is the correct answer.

The given statement in Bengali says "The number is zero - Yes or No". The correct answer is "Yes" because the statement is asking whether the number is zero or not, and the answer is affirmative, indicating that the number is indeed zero.

পূর্ণ সংখ্যা হলো একটি সংখ্যা যা সম্পূর্ণ অংক দ্বারা প্রকাশিত হয়। যেমন, ১, ২, ৩, ৪ ইত্যাদি। প্রতিটো পৰিমেয় সংখ্যা একটি পূর্ণ সংখ্যা হলেও উল্লেখ করা হয় না, কারণ প্রতিটি সংখ্যা পূর্ণ সংখ্যা হতে পারে। তাই উত্তরটি "হয়"।

The given expression is √2 + 1. The square root of 2 is an irrational number, which means it cannot be expressed as a fraction or a terminating decimal. Adding 1 to an irrational number does not change its nature, so the result is still an irrational number. Therefore, the answer is "অপৰিমেয়" which means "irrational" in English.

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The given equation is a quadratic equation in the form of p(x) = x^2 + x - 6. To find the roots of the equation, we need to factorize it. By factoring, we can rewrite the equation as (x + 3)(x - 2) = 0. Setting each factor equal to zero, we get x + 3 = 0 and x - 2 = 0. Solving these equations, we find that x = -3 and x = 2. Therefore, the roots of the equation are 2 and -3.

The given expression is a product of two binomials. To find the result, we can use the FOIL method, which stands for First, Outer, Inner, Last.

First, we multiply the first terms of each binomial: (3x)(3x) = 9x^2.
Outer, we multiply the outer terms of each binomial: (3x)(-4) = -12x.
Inner, we multiply the inner terms of each binomial: (4)(3x) = 12x.
Lastly, we multiply the last terms of each binomial: (4)(-4) = -16.

Combining all these results, we get 9x^2 - 12x + 12x - 16, which simplifies to 9x^2 - 16.

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The given expression is a product of two binomials. To simplify the expression, we can use the formula for the product of two binomials: (a+b)(a-b) = a^2 - b^2. In this case, a = 2√3 and b = 4√5. Plugging these values into the formula, we get (2√3)^2 - (4√5)^2 = 4(3) - 16(5) = 12 - 80 = -68. Therefore, the correct answer is -68.

The statement (ab )c = abc is true. This is because in mathematics, when multiplying a number by a set of parentheses, the multiplication is distributed to each term inside the parentheses. In this case, the c is distributed to both a and b, resulting in the product abc. Therefore, the statement is true.

The given expression x2 + x is a quadratic polynomial because it is a polynomial of degree 2. A quadratic polynomial is a polynomial of the form ax2 + bx + c, where a, b, and c are constants. In this case, a = 1, b = 1, and c = 0. Therefore, the correct answer is "দ্বিঘাত" (quadratic).

The point (-2,4) lies on the II quadrant because the x-coordinate (-2) is negative and the y-coordinate (4) is positive. In the II quadrant, the x-coordinate is negative and the y-coordinate is positive. Therefore, the point (-2,4) lies on the II quadrant.

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The given expression p(x) = 2x + 5 represents a linear function where the coefficient of x is 2 and the constant term is 5. This means that the function increases by 2 units for every one unit increase in x, and the initial value of the function is 5. Therefore, the correct answer is 5.

The given expression is (b-a) (b+a). This can be expanded using the distributive property of multiplication. When we multiply (b-a) with (b+a), we get (b^2 - ab + ab - a^2). The middle terms, -ab and +ab, cancel each other out, leaving us with (b^2 - a^2). Therefore, the correct answer is (b-a) (b+a).

The given answer suggests that the values of 'a' and 'b' are 20 and 50 respectively. This is based on the given pairs of values where 'a' is always 20 and 'b' is always 50. Therefore, it can be inferred that in the given context, 'a' is equal to 20 and 'b' is equal to 50.

The given numbers are 100, 50, 80, and 60. The correct answer is 50, which is the only number that is not a multiple of 10.

The correct answer is 75. This is because 75 multiplied by itself equals 5625. In other words, 75 squared is equal to 5625.

The given expression is x2y6z2. To find the square root of this expression, we need to find the square root of each individual term. The square root of x2 is x. The square root of y6 is y3 because when we divide the exponent 6 by 2, we get 3. The square root of z2 is z because the exponent is already 2. Therefore, the square root of x2y6z2 is xy3z.

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The given expression is 25x4y2. To find the square root of this expression, we need to find the square root of each term separately. The square root of 25 is 5, the square root of x4 is x2, and the square root of y2 is y. Therefore, the square root of 25x4y2 is 5x2y. None of the given options match this result, so the correct answer is "এটাও নহয়" (None of the above).

The given expression can be simplified by dividing the numbers inside the square roots. The square root of 42 can be written as the square root of 6 times the square root of 7, and the square root of 7 can be simplified to just the square root of 7. Dividing the square roots of 6 and 7 gives us the square root of 6 divided by the square root of 7. Therefore, the simplified expression is 4 times the square root of 6.

The question is asking for the sum of a and b, where a is greater than b. Among the given options, the only one that satisfies this condition is 100.

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The given equation is 5x - 6 = 2x + 9. To solve for x, we need to isolate x on one side of the equation. By subtracting 2x from both sides, we get 3x - 6 = 9. Then, by adding 6 to both sides, we get 3x = 15. Finally, by dividing both sides by 3, we find that x = 5. Therefore, the correct answer is 5.

If l is less than or equal to m, then the value of x is 110 and the value of y is 100.

The given expression can be simplified as the square root of 81 plus the square root of 196. The square root of 81 is 9, and the square root of 196 is 14. Adding these two values together gives us 23.

The fraction 5/4 is the sum of 1 and 2. In this question, we are looking for a mixed fraction that represents a number greater than 2. Among the given options, only 5/4 satisfies this condition. Therefore, the correct answer is 5/4.

The given options represent different fractions. To determine the correct answer, we need to compare the fractions and find the one that is equal to the given fraction. In this case, the fraction 4/5 is the correct answer because it is equivalent to the given fraction.

The given equation is (A+B)2-(A-B)2=4AB. By expanding the equation, we get A2 + 2AB + B2 - (A2 - 2AB + B2) = 4AB. Simplifying further, we get 4AB - (-2AB) = 4AB, which implies that the equation is true. Therefore, the answer is "সত্য" (True).

The given decimal, 0.166666..., is a repeating decimal. In this case, the digit 6 repeats infinitely. To convert this to a fraction, we can use the concept of infinite geometric series. Let x = 0.166666... Then, multiplying both sides by 10, we get 10x = 1.666666... Subtracting the original equation from this new equation, we get 9x = 1.5. Dividing both sides by 9, we find x = 1/6. Therefore, the fraction equivalent of the given decimal is 1/6.

All angles in a triangle add up to 180 degrees.

The expression ak+1/ak simplifies to (ak+1) / ak. This means that the numerator is ak+1 and the denominator is ak. Since the numerator and denominator have the same base (a), we can simplify the expression further by canceling out the common factor. This leaves us with just 1 as the answer.

The given expression is a polynomial expression in the variable x. The expression is 2x - x^3. To find the value of this expression, we substitute different values of x into the expression. When we substitute x = 2, we get 2(2) - (2)^3 = 4 - 8 = -4. When we substitute x = -1, we get 2(-1) - (-1)^3 = -2 + 1 = -1. When we substitute x = 1, we get 2(1) - (1)^3 = 2 - 1 = 1. When we substitute x = 0, we get 2(0) - (0)^3 = 0 - 0 = 0. Therefore, the correct answer is 2.

The correct answer is 213 because when we multiply 83 by 24, we get 1992.

When we subtract (x-y) from (x^3-y^3), we can use the formula for the difference of cubes which states that (a^3 - b^3) = (a-b)(a^2 + ab + b^2). In this case, a = x and b = y. Therefore, (x^3 - y^3) = (x-y)(x^2 + xy + y^2). So, when we divide (x^3 - y^3) by (x-y), the result is (x^2 + xy + y^2).

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The given expression x^2 + 9x + 20 can be factored as (x + 3) (x + 4). This can be determined by finding two numbers whose sum is 9 and whose product is 20. The numbers 3 and 4 satisfy these conditions, and when multiplied together and combined with the x terms, they give the original expression. Therefore, the correct answer is (x + 3) (x + 4).