1.
Que 1 st fill in the blank
1)the number of the form m/n are called ......
Correct Answer
B. B ) rational numbers.
Explanation
The number of the form m/n are called rational numbers because they can be expressed as a fraction or a ratio of two integers.
2.
2)If a line internets given two line in two distinct point then that line is called a ...........
Correct Answer
B. B) transversal of those two lines.
Explanation
If a line intersects two other lines at two distinct points, it is called a transversal of those two lines. A transversal is a line that intersects two or more lines at different points. In this case, the line is not necessarily a rational number or an integer, but it is specifically referred to as a transversal.
3.
3) the line in the same plane which do not intersect each other are called ........
Correct Answer
A. A)parallel lines..
Explanation
Parallel lines are lines in the same plane that do not intersect each other. They have the same slope and will never meet or cross each other no matter how far they are extended. In geometry, parallel lines are represented by the symbol "||".
4.
4)Pair of angles which are on the opposite side of the transversal and their arms on the transversal show opposite direction is called a ..........
Correct Answer
C. C)pair of alternate angle.
Explanation
A pair of alternate angles refers to a pair of angles that are formed by a transversal intersecting two lines. These angles are located on opposite sides of the transversal and their arms on the transversal show opposite directions. This means that if one angle is facing left, the other angle will be facing right. Therefore, the correct answer is c) pair of alternate angle.
5.
5)Sach a decimal form of a rational number is called a ...........
Correct Answer
C. C) terminating decimal form
Explanation
The correct answer is c) terminating decimal form. A terminating decimal is a decimal number that has a finite number of digits after the decimal point. In other words, the decimal representation of a rational number terminates or ends after a certain number of decimal places. This is in contrast to a non-terminating decimal, which goes on indefinitely without repeating. Therefore, a terminating decimal form is the appropriate term to describe a decimal representation of a rational number that ends after a finite number of decimal places.
6.
9)3√ 0.125
Correct Answer
C. C)0.5
Explanation
The correct answer is c) 0.5. This is because the square root of 0.125 is equal to 0.5. When a number is multiplied by itself, it will result in the original number. In this case, 0.5 multiplied by itself gives 0.125. Therefore, 0.5 is the correct answer.
7.
Que 1 st B)find the cube of the following numbers.
1) (1.2)
Correct Answer
A. A) 1.728
Explanation
The cube of a number is found by multiplying the number by itself twice. In this case, the number is 1.2. When we multiply 1.2 by itself twice, we get 1.728, which is the correct answer.
8.
2)( - 6)
Correct Answer
B. B) -216
9.
3) 17
Correct Answer
A. A) 4913
10.
4)( 0.02 )
Correct Answer
C. C) 0.000008
Explanation
The correct answer is c) 0.000008. This is because the given number, 0.02, is less than 1 and greater than 0. Therefore, to convert it to scientific notation, we move the decimal point 2 places to the left and add zeros as needed. This gives us 0.00002. Since there are 6 zeros after the decimal point, the answer is 0.000008.
11.
5) ( - 2/5)
Correct Answer
D. D) -8/125
Explanation
The given expression is -2/5. To find the correct answer, we need to simplify this expression. To do that, we multiply the numerator and denominator by 8, which gives us -16/40. Simplifying further, we divide both the numerator and denominator by 5, resulting in -8/20. Finally, we simplify the fraction by dividing both the numerator and denominator by 5 again, giving us the final answer of -8/125.
12.
Que 2 A) find the cube roots of the following numbers.
1)8000
Correct Answer
C. c) 20
Explanation
The cube root of a number is a value that, when multiplied by itself twice, gives the original number. In this case, finding the cube root of 8000 means finding a value that, when multiplied by itself twice, equals 8000. The cube root of 8000 is 20 because 20 * 20 * 20 equals 8000. Therefore, option c) 20 is the correct answer.
13.
2)729
Correct Answer
B. B)9
14.
3)343
Correct Answer
A. A) 7
15.
4) -512
Correct Answer
D. D)-8
Explanation
The correct answer is -8 because it is the only option that is a negative number. The other options (-7, -6, -7.5) are all greater than 0 or have a decimal point, which makes them positive or non-integer values. Therefore, the correct answer must be -8.
16.
5) - 2744
Correct Answer
B. B) -14
Explanation
The correct answer is b) -14. This is because -2744 is a negative number, and the answer choice with the closest value to -2744 is -14.
17.
6) 32768
Correct Answer
D. d)32
Explanation
The number 32768 is a power of 2. It can be expressed as 2^15, which means it is multiplied by 2, a total of 15 times. Therefore, the correct answer is d) 32, which is the exponent that represents the number of times 2 is multiplied to get 32768.
18.
7)216
Correct Answer
C. C)6
19.
8)-1331
Correct Answer
A. A) -11
Explanation
The given number, -1331, is a cube of -11. This means that -11 multiplied by itself twice (-11 * -11 * -11) equals -1331. Therefore, the correct answer is a) -11.
20.
10) 1728
Correct Answer
B. B) 12