Maths Online Test Class 7

Substitute y = 1 into the equation: 2(1) - 3(1) - a = 3. This simplifies to 2 - 3 - a = 3, which is -1 - a = 3. Solving for a gives -a = 4, so a = -4.

To find what must be subtracted, set up the equation: (2a + b) - x = (2a - b). Solving for x gives x = (2a + b) - (2a - b) = 2a + b - 2a + b = 2b.

Sum the terms: (xy) + (x + y) + (y + xy). Grouping like terms gives (xy + xy) + x + (y + y), which results in 2xy + x + 2y.

Substitute p = 1 and q = 2 into the expression: 4(1)(2) - 3(2) + 5. This equals 8 - 6 + 5 = 2 + 5 = 7.

The term -x can be written as -1 * x. Therefore, the coefficient of x is -1.

The expression is (169 / -256) * (-128 / 13). Simplifying: (169 / 13) * (-128 / -256) = 13 * (1/2) = 13/2.

Divide both the numerator and denominator by their greatest common divisor, which is 6. -18 / 6 = -3 and 48 / 6 = 8, resulting in -3/8.

Given 7 / -3 = x / 6. Multiply both sides by 6: x = (7 / -3) * 6 = 7 * -2 = -14.

Convert fractions to a common denominator: 1/2 = 4/8 and 3/4 = 6/8. A number between 4/8 and 6/8 is 5/8.

5/40 simplifies to 1/8. Dividing 1 by 8 results in 0.125.

Simple Interest = (Principal * Rate * Time) / 100. SI = (5000 * 6 * 2) / 100 = 50 * 12 = 600.

Gain = 875 - 750 = 125. Gain percent = (Gain / Cost Price) * 100 = (125 / 750) * 100 = (1/6) * 100 = 50/3 percent.

If 25% of the price is 20, then 100% of the price is 20 * 4 = 80.

72% of 25 students = 0.72 × 25 = 18 students good in maths. Students not good = 25 - 18 = 7. Option D is correct. Options A and C are close but come from calculation errors.

Convert units to be the same: 10 km = 10,000 m. The ratio is 5 : 10,000. Dividing both by 5 gives 1 : 2000.

Align the decimal points: 5.300 + 3.250 = 8.550.

13.31 / 0.11 is equivalent to 1331 / 11. 1331 / 11 = 121.

1.3 × 3.1 = 4.03. Option C is correct. Option A (4.307) has an extra digit; Option D (40.3) misplaced the decimal.

13/4 - 2 = 13/4 - 8/4 = 5/4.

(2/5) * (21/4) = (2 * 21) / (5 * 4) = 42 / 20. Simplifying by dividing by 2 gives 21 / 10.

The multiplicative identity is the number that, when multiplied by any number, leaves it unchanged. For any number a, a * 1 = a.

When dividing a negative integer by another negative integer, the signs cancel out, resulting in a positive quotient.

The multiplicative inverse of a number x is 1/x, such that x * (1/x) = 1. For -8, the inverse is -1/8.

We are looking for two integers that sum to -5. -3 + (-2) = -5.

On a number line, numbers to the right are greater. Since 0 is to the right of -1, it is greater than -1, while all other options are to the left.