1st Unit Test (Online) 2020
Sub-Mathematics Class-IX Time-60 minute Marks-50 Prepared by Sankar Sarkar (Asst. Teacher)
Questions and Answers
- 1.
1/3 = ? (দশমিক বিস্তৃতি কি হব)
- A.
0.3333
- B.
0.131313..
- C.
0.3333....
- D.
0.03030....
Correct Answer
C. 0.3333....Explanation
All angles in a triangle add up to 180 degrees.Rate this question:
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- 2.
শূণ্যটো পৰিমেয় সংখ্যা -
- A.
হয়
- B.
নহয়
Correct Answer
A. হয়Explanation
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.Rate this question:
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- 3.
1 আৰু 2 ৰ মাজৰ এটা পৰিমেয় সংখ্যা হল-
- A.
7/3
- B.
5/4
- C.
11/3
- D.
7/2
Correct Answer
B. 5/4Explanation
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.Rate this question:
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- 4.
প্ৰতিটো পৰিমেয় সংখ্যাই এটা পূৰ্ণ সংখ্যা
- A.
হয়
- B.
নহয়
Correct Answer
A. হয়Explanation
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"।Rate this question:
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- 5.
√2+1
- A.
অপৰিমেয়
- B.
পৰিমেয়
Correct Answer
A. অপৰিমেয়Explanation
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.Rate this question:
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- 6.
am . an = am+n
- A.
হয়
- B.
নহয়
Correct Answer
A. হয় -
- 7.
(-2,4) বিন্দুটো কাৰ্টীয় সমতলৰ কোনটো চোকত থাকিব
- A.
I চোকত
- B.
II চোকত
- C.
III চোকত
- D.
IV চোকত
Correct Answer
B. II চোকতExplanation
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.Rate this question:
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- 8.
0.166666... ( p/q ৰ আৰ্হিত প্ৰকাশ কৰিলে পাও)
- A.
1/6
- B.
1/16
- C.
1/7
- D.
1/8
Correct Answer
A. 1/6Explanation
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.Rate this question:
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- 9.
8√42÷2√7 = ?
- A.
2√6
- B.
4√6
- C.
6√16
- D.
2√7
Correct Answer
B. 4√6Explanation
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.Rate this question:
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- 10.
(2√3+4√5) (2√3-4√5) = ? (পূৰণ কৰা)
- A.
-68
- B.
86
- C.
72
- D.
-58
Correct Answer
A. -68Explanation
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.Rate this question:
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- 11.
এটা পৰিমেয় সংখ্যা আৰু এটা অপৰিমেয় সংখ্যাৰ যোগফল বা বিয়োগফল -
- A.
অপৰিমেয়
- B.
পৰিমেয়
- C.
পৰিমেয় বা অপৰিমেয়
Correct Answer
A. অপৰিমেয়Explanation
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.Rate this question:
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- 12.
তলৰ কোনটো বহুপদ নহয়-
- A.
4x2 + 2x – 1
- B.
![1st Unit Test (Online) 2020 - Quiz]()
- C.
x3 – 1
- D.
Y2 + 5y + 1
Correct Answer
B. -
- 13.
P(x) = 2x + 5 ৰ শূণ্য
- A.
2
- B.
5
- C.
![1st Unit Test (Online) 2020 - Quiz]()
- D.
![1st Unit Test (Online) 2020 - Quiz]()
Correct Answer
D.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.Rate this question:
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- 14.
103 × 97 (m=পূৰণ)
- A.
9919
- B.
9991
- C.
9888
- D.
9099
Correct Answer
B. 9991Explanation
When we multiply 103 and 97, we get the product 9991.Rate this question:
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- 15.
Px2 + qx + rx4 + 5 বহুপদটোৰ মাত্ৰা
- A.
4
- B.
3
- C.
5
- D.
2
Correct Answer
A. 4Explanation
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.Rate this question:
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- 16.
x2 +x বহুপদটো
- A.
ৰৈখিক
- B.
দ্বিঘাত
- C.
ত্ৰিঘাত
Correct Answer
B. দ্বিঘাতExplanation
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).Rate this question:
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- 17.
2x – x3 বহুপদটোৰ x3ৰ সহগ
- A.
2
- B.
-1
- C.
1
- D.
0
Correct Answer
A. 2Explanation
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.Rate this question:
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- 18.
অক্ষ দুডালে পৰস্পৰক ছেদ কৰা বিন্দুটো-
- A.
বহুপদ
- B.
কেন্দ্ৰবিন্দু
- C.
মুলবিন্দু
- D.
ভুজ
Correct Answer
C. মুলবিন্দু -
- 19.
p(x) = x2 + x – 6 বহুপদটোৰ শূণ্য
- A.
2, 3
- B.
-2, 3
- C.
2, -3
- D.
-2, -3
Correct Answer
C. 2, -3Explanation
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.Rate this question:
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- 20.
যদি x2=11 তেন্তে x এটা পৰিমেয় সংখ্যা -
- A.
সত্য
- B.
অসত্য
Correct Answer
B. অসত্য -
- 21.
3.5 আৰু 3.6 ৰ মধ্যবিন্দুটো
- A.
3.50
- B.
3.55
- C.
3.25
- D.
3.60
Correct Answer
B. 3.55Explanation
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.Rate this question:
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- 22.
√81+√196=?
- A.
23
- B.
21
- C.
22
- D.
24
Correct Answer
A. 23Explanation
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.Rate this question:
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- 23.
(3x+4) (3x-4) = ? (পূৰণফলটো হব)
- A.
6x2-16
- B.
9x2-8
- C.
9x2-16
- D.
9x-16
Correct Answer
C. 9x2-16Explanation
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.Rate this question:
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- 24.
(16)3/4 = ? (ইয়াৰ মান হব)
- A.
8
- B.
16
- C.
4
- D.
2
Correct Answer
A. 8Explanation
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.Rate this question:
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- 25.
83 × 24= ? (সৰল কৰি মান পোৱা যাব)
- A.
167
- B.
213
- C.
210
- D.
84
Correct Answer
B. 213Explanation
The correct answer is 213 because when we multiply 83 by 24, we get 1992.Rate this question:
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- 26.
সংখ্যাটো
- A.
পৰিমেয়
- B.
অপৰিমেয়
- C.
স্বাভাৱিক সংখ্যা
- D.
এটাও নহয়
Correct Answer
A. পৰিমেয় -
- 27.
1.101001000100001... সংখ্যাটো
- A.
পৰিমেয়
- B.
স্বাভাবিক
- C.
অপৰিমেয়
- D.
এটাও নহয়
Correct Answer
C. অপৰিমেয় -
- 28.
তলৰ কোনটো সংখ্যা পূৰ্ণ
- A.
0
- B.
–7
- C.
![1st Unit Test (Online) 2020 - Quiz]()
- D.
![1st Unit Test (Online) 2020 - Quiz]()
Correct Answer
A. 0Explanation
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.Rate this question:
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- 29.
5625 ৰ বৰ্গমুল
- A.
85
- B.
65
- C.
95
- D.
75
Correct Answer
D. 75Explanation
The correct answer is 75. This is because 75 multiplied by itself equals 5625. In other words, 75 squared is equal to 5625.Rate this question:
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- 30.
ইয়াৰ মান দিয়া-
- A.
5/6
- B.
4/25
- C.
4/5
- D.
6/16
Correct Answer
C. 4/5Explanation
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.Rate this question:
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- 31.
1-1=1 (ই সত্য নে অসত্য বিচাৰ কৰা)
- A.
সত্য
- B.
অসত্য
Correct Answer
A. সত্যExplanation
The given equation states that 1 minus 1 equals 1. This is a false statement because the correct answer is 0.Rate this question:
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- 32.
(ab )c =abc (সত্য নে অসত্য বিচাৰ কৰা)
- A.
সত্য
- B.
অসত্য
Correct Answer
A. সত্যExplanation
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.Rate this question:
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- 33.
সত্য নে অসত্য বিচাৰ কৰা
- A.
সত্য
- B.
অসত্য
Correct Answer
A. সত্যExplanation
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".Rate this question:
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- 34.
যদি l ll m হয় তেন্তে <x=? <y=? (মান দিয়া-)
- A.
(100,80)
- B.
(80,100)
- C.
(100,110)
- D.
(110,100)
Correct Answer
D. (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.Rate this question:
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- 35.
মান দিয়া-
- A.
100
- B.
180
- C.
160
- D.
90
Correct Answer
B. 180Explanation
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.Rate this question:
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- 36.
মান দিয়া-
- A.
100
- B.
50
- C.
80
- D.
60
Correct Answer
B. 50Explanation
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.Rate this question:
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- 37.
<a+<b=?
- A.
80
- B.
100
- C.
90
- D.
105
Correct Answer
B. 100Explanation
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.Rate this question:
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- 38.
<b=?
- A.
150
- B.
130
- C.
110
- D.
140
Correct Answer
A. 150 -
- 39.
<a=? আৰু <b=?
- A.
50,20
- B.
20,50
- C.
30,60
- D.
30.60
Correct Answer
B. 20,50Explanation
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.Rate this question:
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- 40.
<x=?
- A.
135
- B.
130
- C.
140
- D.
150
Correct Answer
D. 150 -
- 41.
Ak+1/ak
- A.
1
- B.
A
- C.
2a
- D.
0
Correct Answer
B. AExplanation
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.Rate this question:
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- 42.
X3-y3 ক x-y ৰে হৰণ কৰিলে ভাগফল পাম-
- A.
X+y
- B.
X2+y2
- C.
X2+xy+y2
- D.
এটাও নহয়
Correct Answer
C. X2+xy+y2Explanation
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).Rate this question:
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- 43.
5x-6=2x+9 (x ৰ মান দিয়া)
- A.
6
- B.
7
- C.
5
- D.
3
Correct Answer
C. 5Explanation
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.Rate this question:
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- 44.
X/4+2x/4=3 (x ৰ মান দিয়া)
- A.
3
- B.
4
- C.
5
- D.
6
Correct Answer
B. 4Explanation
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.Rate this question:
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- 45.
(b-a)2=b2-a2-2ba (সত্য নে অসত্য)
- A.
সত্য
- B.
অসত্য
Correct Answer
B. অসত্যExplanation
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.Rate this question:
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- 46.
(A+B)2-(A-B)2=4AB (সত্য নে অসত্য)
- A.
সত্য
- B.
অসত্য
Correct Answer
A. সত্যExplanation
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).Rate this question:
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- 47.
B2-a2 উত্পাদক হিচাবে ভাঙিলে পাম
- A.
(b-a) (b-a)
- B.
(b-a) (b+a)
- C.
(b-a) (b-a)
- D.
এটাও নহয়
Correct Answer
B. (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).Rate this question:
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- 48.
X2 +9x+20 উত্পাদক হিচাবে ভাঙিলে পাম
- A.
(x+3) (x+4)
- B.
(x+5)(x+4)
- C.
(x+5)(x+3)
- D.
এটাও নহয়
Correct Answer
A. (x+3) (x+4)Explanation
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).Rate this question:
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- 49.
X2y6z2 ৰ বৰ্গমুল-
- A.
Xy4z
- B.
Xy3z
- C.
X2y3z
- D.
এটাও নহয়
Correct Answer
B. Xy3zExplanation
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.Rate this question:
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- 50.
25x4y2 ৰ বৰ্গমুল-
- A.
Xy2
- B.
5xy2
- C.
5x2y2
- D.
এটাও নহয়
Correct Answer
D. এটাও নহয়Explanation
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).Rate this question:
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Mar 15, 2023Quiz Edited by
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May 04, 2020Quiz Created by
Sankar Sarkar
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