Maths Mock Test- 1 - Class 9 MCQ

Remainder,

[We have taken individual remainder, which means if 73 is divided by 34 individually, it will give remainder 5, 75 divided 34 gives remainder 7 and so on.]

[We have taken here negative as well as positive remainder at the same time. When 30 divided by 34 it will give either positive remainder 30 or negative remainder -4. We can use any one of negative or positive remainder at any time.]

Required remainder = 32.

Octal to Decimal conversion is obtained by multiplying 8 to the power of base index along with the value at that index position.

(532.2)8 = 5 * 8² + 3 * 8¹ + 2 * 8⁰ + 2 * 8^-1 = (346.25)10

Things which are double of the same things are equal to one another.
Example : 
1. If 2x = 2y then x = y.
2. If a = b, then 2a = 2b

To understand this, let's break down the information given:

1. x-axis: The x-axis is the horizontal line in the coordinate plane. Any point on the x-axis will have a y-coordinate of 0 because it does not move up or down from the axis.

2. Distance of 4 units in the negative direction of x-axis:

   • The x-axis has a positive direction (towards the right) and a negative direction (towards the left).
   • Moving 4 units in the negative direction means moving 4 units to the left from the origin (0,0).

3. Coordinates:

   • When you move 4 units to the left on the x-axis, the x-coordinate becomes -4, and since the point is on the x-axis, the y-coordinate remains 0.

Therefore, the point that lies on the x-axis 4 units in the negative direction is (−4,0)(-4, 0)(−4,0).

This corresponds to option (b) (-4, 0).

To find if ( x = 2, y = -1 ) is a solution for a given equation, substitute these values into each equation:

- A: ( 2(2) + 3(-1) =1 not  5 ) ❌
- B: ( 2 + (-1) = 1 not 5 ) ❌
- C: ( 2 + (-1) = 1 ) ✓
- D: ( 2 - (-1) = 3 not 9 ) ❌

Therefore, option C is the correct answer.

Let
a = 15cm
b = 25cm
c = 14cm

Semi-Perimeter = a + b + c / 2
= 15 + 25 + 14 / 2
= 54 / 2
= 27 cm.


Area Through Heron's Formula

= √s(s-a)(s-b)(s-c)
= √27(27-15)(27-25)(27-14)
= √27 × 12 × 2 × 13
= √3 × 3 × 3 × 2 × 2 × 3 × 13
= 3 × 3 × 2 √13
= 18 √13

A non-terminating, non-repeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly.

Decimals of this type cannot be represented as fractions, and as a result, are irrational numbers.

Degree is the highest exponent of any value in an equation. Here, this highest exponent is 4. Therefore, 4 is the degree of the given equation.