1st Unit Test (Online) 2020

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| By Sankar Sarkar

Sankar Sarkar

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| Attempts: 181

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1/50 Questions

শূণ্যটো পৰিমেয় সংখ্যা -
- হয়
- নহয়

About This Quiz

Sub-Mathematics
Class-IX
Time-60 minute
Marks-50
Prepared by Sankar Sarkar (Asst. Teacher)

Quiz Preview

2.

প্ৰতিটো পৰিমেয় সংখ্যাই এটা পূৰ্ণ সংখ্যা
- হয়
- নহয়
Correct Answer

A. হয়

Explanation

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"।

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3.

√2+1
- অপৰিমেয়
- পৰিমেয়
Correct Answer

A. অপৰিমেয়

Explanation

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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4.

a^m . aⁿ = a^m+n
- হয়
- নহয়
Correct Answer

A. হয়
5.

(2√3+4√5) (2√3-4√5) = ? (পূৰণ কৰা)
- -68
- 86
- 72
- -58
Correct Answer

A. -68

Explanation

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.

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6.

এটা পৰিমেয় সংখ্যা আৰু এটা অপৰিমেয় সংখ্যাৰ যোগফল বা বিয়োগফল -
- অপৰিমেয়
- পৰিমেয়
- পৰিমেয় বা অপৰিমেয়
Correct Answer

A. অপৰিমেয়

Explanation

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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7.

তলৰ কোনটো বহুপদ নহয়-
- 4x² + 2x – 1
- x³ – 1
- Y² + 5y + 1
Correct Answer

A.
8.

103 × 97 (m=পূৰণ)
- 9919
- 9991
- 9888
- 9099
Correct Answer

A. 9991

Explanation

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

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9.

Px² + qx + rx⁴ + 5 বহুপদটোৰ মাত্ৰা
- 4
- 3
- 5
- 2
Correct Answer

A. 4

Explanation

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.

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10.

p(x) = x² + x – 6 বহুপদটোৰ শূণ্য
- 2, 3
- -2, 3
- 2, -3
- -2, -3
Correct Answer

A. 2, -3

Explanation

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.

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11.

যদি x²=11 তেন্তে x এটা পৰিমেয় সংখ্যা -
- সত্য
- অসত্য
Correct Answer

A. অসত্য
12.

3.5 আৰু 3.6 ৰ মধ্যবিন্দুটো
- 3.50
- 3.55
- 3.25
- 3.60
Correct Answer

A. 3.55

Explanation

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.

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13.

(3x+4) (3x-4) = ? (পূৰণফলটো হব)
- 6x²-16
- 9x²-8
- 9x²-16
- 9x-16
Correct Answer

A. 9x²-16

Explanation

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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14.

(16)^3/4 = ? (ইয়াৰ মান হব)
- 8
- 16
- 4
- 2
Correct Answer

A. 8

Explanation

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.

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15.

সংখ্যাটো
- পৰিমেয়
- অপৰিমেয়
- স্বাভাৱিক সংখ্যা
- এটাও নহয়
Correct Answer

A. পৰিমেয়
16.

তলৰ কোনটো সংখ্যা পূৰ্ণ
- 0
- –7
Correct Answer

A. 0

Explanation

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.

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17.

1^-1=1 (ই সত্য নে অসত্য বিচাৰ কৰা)
- সত্য
- অসত্য
Correct Answer

A. সত্য

Explanation

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

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18.

(a^b)^c=a^bc(সত্য নে অসত্য বিচাৰ কৰা)
- সত্য
- অসত্য
Correct Answer

A. সত্য

Explanation

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.

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19.

সত্য নে অসত্য বিচাৰ কৰা
- সত্য
- অসত্য
Correct Answer

A. সত্য

Explanation

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".

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20.

মান দিয়া-
- 100
- 180
- 160
- 90
Correct Answer

A. 180

Explanation

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.

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21.

X/4+2x/4=3 (x ৰ মান দিয়া)
- 3
- 4
- 5
- 6
Correct Answer

A. 4

Explanation

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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22.

(b-a)²=b²-a²-2ba (সত্য নে অসত্য)
- সত্য
- অসত্য
Correct Answer

A. অসত্য

Explanation

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.

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23.

(-2,4) বিন্দুটো কাৰ্টীয় সমতলৰ কোনটো চোকত থাকিব
- I চোকত
- II চোকত
- III চোকত
- IV চোকত
Correct Answer

A. II চোকত

Explanation

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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24.

P(x) = 2x + 5 ৰ শূণ্য
- 2
- 5
Correct Answer

A.

Explanation

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.

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25.

x² +x বহুপদটো
- ৰৈখিক
- দ্বিঘাত
- ত্ৰিঘাত
Correct Answer

A. দ্বিঘাত

Explanation

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).

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26.

<b=?
- 150
- 130
- 110
- 140
Correct Answer

A. 150
27.

5625 ৰ বৰ্গমুল
- 85
- 65
- 95
- 75
Correct Answer

A. 75

Explanation

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

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28.

মান দিয়া-
- 100
- 50
- 80
- 60
Correct Answer

A. 50

Explanation

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.

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29.

<a=? আৰু <b=?
- 50,20
- 20,50
- 30,60
- 30.60
Correct Answer

A. 20,50

Explanation

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.

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30.

B²-a² উত্পাদক হিচাবে ভাঙিলে পাম
- (b-a) (b-a)
- (b-a) (b+a)
- (b-a) (b-a)
- এটাও নহয়
Correct Answer

A. (b-a) (b+a)

Explanation

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).

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31.

X²y⁶z² ৰ বৰ্গমুল-
- Xy⁴z
- Xy³z
- X²y³z
- এটাও নহয়
Correct Answer

A. Xy³z

Explanation

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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32.

<x=?
- 135
- 130
- 140
- 150
Correct Answer

A. 150
33.

8√42÷2√7 = ?
- 2√6
- 4√6
- 6√16
- 2√7
Correct Answer

A. 4√6

Explanation

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.

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34.

<a+<b=?
- 80
- 100
- 90
- 105
Correct Answer

A. 100

Explanation

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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35.

25x⁴y² ৰ বৰ্গমুল-
- Xy²
- 5xy²
- 5x²y²
- এটাও নহয়
Correct Answer

A. এটাও নহয়

Explanation

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).

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36.

1.101001000100001... সংখ্যাটো
- পৰিমেয়
- স্বাভাবিক
- অপৰিমেয়
- এটাও নহয়
Correct Answer

A. অপৰিমেয়
37.

1 আৰু 2 ৰ মাজৰ এটা পৰিমেয় সংখ্যা হল-
- 7/3
- 5/4
- 11/3
- 7/2
Correct Answer

A. 5/4

Explanation

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.

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38.

√81+√196=?
- 23
- 21
- 22
- 24
Correct Answer

A. 23

Explanation

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.

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39.

ইয়াৰ মান দিয়া-
- 5/6
- 4/25
- 4/5
- 6/16
Correct Answer

A. 4/5

Explanation

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.

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40.

যদি l ll m হয় তেন্তে <x=? <y=? (মান দিয়া-)
- (100,80)
- (80,100)
- (100,110)
- (110,100)
Correct Answer

A. (110,100)

Explanation

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

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41.

5x-6=2x+9 (x ৰ মান দিয়া)
- 6
- 7
- 5
- 3
Correct Answer

A. 5

Explanation

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.

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42.

(A+B)2-(A-B)²=4AB (সত্য নে অসত্য)
- সত্য
- অসত্য
Correct Answer

A. সত্য

Explanation

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).

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43.

1/3 = ? (দশমিক বিস্তৃতি কি হব)
- 0.3333
- 0.131313..
- 0.3333....
- 0.03030....
Correct Answer

A. 0.3333....

Explanation

All angles in a triangle add up to 180 degrees.

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44.

0.166666... ( p/q ৰ আৰ্হিত প্ৰকাশ কৰিলে পাও)
- 1/6
- 1/16
- 1/7
- 1/8
Correct Answer

A. 1/6

Explanation

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.

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45.

A^k+1/a^k
- 1
- A
- 2a
- 0
Correct Answer

A. A

Explanation

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.

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46.

2x – x³বহুপদটোৰx³ৰ সহগ
- 2
- -1
- 1
- 0
Correct Answer

A. 2

Explanation

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.

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47.

8³ × 2⁴= ? (সৰল কৰি মান পোৱা যাব)
- 16⁷
- 2¹³
- 2¹⁰
- 8⁴
Correct Answer

A. 2¹³

Explanation

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

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48.

অক্ষ দুডালে পৰস্পৰক ছেদ কৰা বিন্দুটো-
- বহুপদ
- কেন্দ্ৰবিন্দু
- মুলবিন্দু
- ভুজ
Correct Answer

A. মুলবিন্দু
49.

X³-y³ ক x-y ৰে হৰণ কৰিলে ভাগফল পাম-
- X+y
- X²+y²
- X²+xy+y²
- এটাও নহয়
Correct Answer

A. X²+xy+y²

Explanation

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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