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ATQ, We can say that let no of days taken by Deepak, Deepti and Danny when they work alone be taken as - x, y and z days individually. (1/x) + (1/y) = (1/60)..........eq(1) (1/y) + (1/z) = (1/90)...........eq(2) (1/x) + (1/z) = (1/90)............eq(3) While adding eq(1),(2) and (3) we get (2/x) + (2/y) + (2/z) = (1/60) + (1/90) + (1/90) = 2((1/x) + (1/y) + (1/z)) (3 + 2 + 2)/180 = (1/x) + (1/y) + (1/z) = (7/360)......eq(4) Now Subtract eq(4) with - eq 1, eq 2 and eq 3. eq(4) - (1) = (1/z) = (7/360) - (1/60) = (1/360) eq(4) - (2) = (1/x) = (7/360) - (1/90) = (1/120) eq(4) - (3) = (1/y) = (7/360) - (1/90) = (1/120) Therefore, no of days taken by Deepak, Deepti and Danny are 120,120 and 360 days individually.
16 25 36 49 64 ?
5, 18, 39, 68, 105, ?
-1, 5, 23, 59, ?
58, 67, ?, 76, 40, 85
188 178 158 ? 88 38
Which of the following number will replace the question mark (?) and complete the given number series?
4, 5, 12, 39, 160, ?
418, 406, 430, 382, 478, ?, 670
12, 11, 20, 57, 224, 1015
216, 81, 297, 378, ?, 1035, 1728
8, 9, 125, ?, 1331, 169