Question
Number of faculties in Physics and Biology in an
institute is in the ratio of 3:5 respectively. If 75 more faculties join Physics, while 40 more faculties join Biology, the respective ratio becomes 3:4. Originally what was the total number of faculties in both together? ÂSolution
 ATQ, Let the original number of faculties in Physics and Biology be 3x and 5x respectively According to the question,  => (3x + 75)/(5x + 40) = 3/4 => 15x + 120 = 12x + 300 => x = 60 Original number of faculties = 3x + 5x = 8x = 8 × 60 = 480
166    156    136   ?     66    16
Find the missing number in the given number series.
6, 15, 35, 66, 108, ?4, 12, 36, 108, ?, 396
124, 128, ?, 135, 110, 146
10296/72 + 3040 = (? × 4) + 1395
47, 72, 122, ?, 297, 422
52, 77, 127, ?, 302, 427
16, 24, 36, ?, 81, 121.5
10, 15, 25, 35, ?, 65
105, 111, 123, 141, ?, 195