Tag: communication

From Sunday Jan 1, 2006 to Jan 1, 2010 spans 4 years. Among these, only 2008 is a leap year (366 days), while 2006, 2007, and 2009 are normal years (365 days each). Total days = 3×365 + 366 = 1461. Dividing by 7: 1461 ÷ 7 = 208 weeks with remainder 5. Sunday + 5 days = Friday. So Jan 1, 2010 was a Friday.

May 28, 2006, falls on a Sunday. Calculating odd days from the reference year 2000: 5 years (with 1 leap year) plus days from Jan 1 to May 28 (31+28+31+30+28=148) results in a total that leaves a remainder of 0, signifying Sunday.

Using the calendar formula: (1900-1997 has 24 leap years) + (Jan-May days: 31+28+31+30+31=151) + 17 days in June. Total odd days calculation results in 3, which corresponds to Wednesday. Monday and Tuesday are incorrect based on the standard Gregorian calendar.

Divide 61 by 7 to find the remainder: 61 = (8 * 7) + 5. Five days after Monday is Saturday (Tuesday, Wednesday, Thursday, Friday, Saturday). The other options do not match the remainder calculation.

Let the number be x. One-third of one-fourth of x equals 15: (1/3) × (1/4) × x = 15, which simplifies to x/12 = 15. Solving gives x = 180. Three-tenth of this number = (3/10) × 180 = 54.

Let the integers be x, x+2, x+4. The equation is 3x = 2(x+4) + 3. Solving gives 3x = 2x + 8 + 3, so x = 11. The third integer is x+4 = 15. The other options represent the first or second integers.

Area = 1.5 hectares. Since 1 hectare = 10,000 m², the area = 1.5 × 10,000 = 15,000 m². Rain depth = 5 cm = 0.05 m. Volume = Area × depth = 15,000 × 0.05 = 750 cubic meters.

In all numbers except 427, the sum of the first and third digits equals the middle digit (3+6=9, 4+2=6, 5+2=7, 6+1=7, 2+4=6). For 427, 4+7=11, not 2. Therefore, 427 is the odd one out.