Basic Simplification Quiz Set 001

This is a multiplication by 9. Proceed like this: 146 × 9 = 146 × (10 - 1) = 146 × 10 - 146 = 1460 - 146 = 1314. Sometimes, the options can be ruled out by examining the units places, but for simpler cases these shortcuts will help you save time overall.

x - 3 = +88, so x = 88 + 3 = 91 is one solution, and we can also have x - 3 = -88, which gives x = 3 - 88 = -85. The sum is 91 + (-85) = 6.

We have by bodmas 122 + 345 - 1 × 1116 ÷ 372 = 122 + 345 - (1 × (1116 ÷ 372)) = (122 + 345) - (1 × (3)) = (122 + 345) - 3 = 467 - 3 = 464.

The maximum occurs when the value of |x - 7| is the lowest, which is 0, so the maximum value is 68.

We have to find $21{1/2}$ × ${42/43}$, which can be written as ${43/2}$ × ${42/43}$, which simplifies to 42/2 = Rs. 21.