1. What will be the day of the week [latex]{15}^{th}[/latex]July, 2001?
A. Sunday
B. Monday
C. Friday
D. Tuesday
Answer: Option B
Explanation:
[latex]{15}^{th}[/latex] July, 2000 = (2000 years + Period 1.7.2001 to 15.7.2001)
Odd days in 1600 years = 0
Odd days in 400 years = 0
1 year = (1 ordinary year) = (1 x 1) = 1 odd day.
Jan. Feb. March April May June July.
(31 + 28 + 31 + 30 + 31 + 30 + 15) = 196 days
196 days = (28 weeks) 0 odd days.
Total number of odd days = (0 + 0 + 1 + 0) = 1= 1 odd day.
Given day is Monday.
2. What was the day of the week on [latex]{17}^{th}[/latex] June, 1998?
A. Monday
B. Thursday
C. Wednesday
D. Tuesday
Answer: Option C
Explanation:
[latex]{17}^{th}[/latex] June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)
Odd days in 1600 years = 0
Odd days in 300 years = 1
97 years has 24 leap years + 73 ordinary years.
Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.
Jan. Feb. March April May June
3. What was the day of the week on [latex]{28}^{th}[/latex] May, 2006?
A. Thursday
B. Friday
C. Saturday
D. Sunday
Answer: Option D
Explanation:
28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)
Odd days in 1600 years = 0
Odd days in 400 years = 0
5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) = 6 odd days
Jan. Feb. March April May
(31 + 28 + 31 + 30 + 28 ) = 148 days
4. It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
A. Sunday
B. Monday
C. Thursday
D. Friday
Answer: Option D
Explanation:
On [latex]{31}^{st}[/latex] December, 2005, it was Saturday.
Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days.
On 31st December 2009, it was Thursday.
Thus, on 1st Jan 2010, it is Friday.
5. There are 5000 students in a school. The next year it was found that the number of boys and girls increased by 10% and 15% respectively making the total number of students in school as 5600. Find the number of girls originally in the school?
A. 4500
B. 2000
C. 3000
D. Cannot be determined
Answer: Option B
Explanation:
Let number of girls = x, then no of boys = (5000 - x). then
10% of (1000 - x) + 15% of x = (5600 - 5000)
Solve, x = 2000