Basic Simplification Quiz Set 016

Let the score in English be E, then his score in math is 612 - E. We have also been given $(612 - E)/25 = E/28 + 16$. Solving for E, we get E = 112.

We have to find $29{1/2}$ × ${58/59}$, which can be written as ${59/2}$ × ${58/59}$, which simplifies to 58/2 = Rs. 29.

We have -341 + (-354) - (-393) + 418 = -341 - 354 + 393 + 418 = -(341 + 354) + (393 + 418) = -695 + 811 = 116.

This is a multiplication by a number whose units place is 9. Proceed like this: 547 × 79 = 547 × (70 + 9) = 547 × (70 + 10 - 1) = (547 × 70) + (547 × 10) - 547 = 38290 + 5470 - 547 = 43213. The other approach could have been 547 × 79 = 547 × (80 - 1), etc.,

Had he attempted all correctly, he would have got 129 × 4 = 516. But he has lost 516 - 131 = 385 marks due to wrong attempts. Each wrong attempt leads to an overall loss of 5 marks, so the number of wrong attempts is 385/5 = 77.