Question
At what time between 3 and 4 o’clock will the
hands of a watch be in opposite directions?Solution
At 3 o’clock, the hands of the watch are 15 minutes, spaces apart. To be in opposite directions, they must be 30 minutes spaces apart. ∴ Minute hand will have to gain 45 minutes spaces. 55 minutes spaces are gained in 60 minutes. 45 minutes spaces are gained in (60/55×45) min or 49*1/11 min ∴ Required time = 49*1/11 min past 3.
12, 24, 72, 288, 1440, ?
7 29 ? 129 211 349
2120 1976 2097 1997 ? 2014
...19.11 × 5.98 + 20.03 × 3.12 – 34.95 + 97.9 × 3.02 =?
25 30 300 315 6300 ?
...640 320 160 ? 40 20
14Â Â Â 42Â Â Â Â 105Â Â Â Â 210Â Â Â Â Â 315Â Â Â ?
64Â Â Â Â Â Â 96Â Â Â Â Â Â Â 48Â Â Â Â Â Â 72Â Â Â Â Â Â 36Â Â Â Â Â Â ?
...362Â Â Â 284Â Â Â 393Â Â Â Â 451Â Â Â Â 144Â Â Â Â Â 221
...11Â Â Â 46Â Â Â 109Â Â Â 208Â Â Â Â 351Â Â Â Â ?