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- Question
What will be the day of the week 15th August, 2010?
Options- A. Sunday
- B. Monday
- C. Tuesday
- D. Friday
- Correct Answer
- Sunday
Explanation
15 th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)Odd days in 1600 years = 0
Odd days in 400 years = 0
9 years = (2 leap years + 7 ordinary years) = (2 x 2 + 7 x 1) = 11 odd days ≡ 4 odd days.
Jan. Feb. March April May June July Aug. (31 + 28 + 31 + 30 + 31 + 30 + 31 + 15) = 227 days
∴ 227 days = (32 weeks + 3 days) ≡ 3 odd days.
Total number of odd days = (0 + 0 + 4 + 3) = 7 ≡ 0 odd days.
Given day is Sunday.
- 1. The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:
Options- A. 4.37%
- B. 5%
- C. 6%
- D. 8.75% Discuss
- 2. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
Options- A. 57%
- B. 60%
- C. 65%
- D. 90% Discuss
- 3. If A = x% of y and B = y% of x, then which of the following is true?
Options- A. A is smaller than B.
- B. A is greater than B
- C. Relationship between A and B cannot be determined.
- D. If x is smaller than y, then A is greater than B.
- E. None of these Discuss
- 4. In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is ⅔ of the number of students of 8 years of age which is 48. What is the total number of students in the school?
Options- A. 72
- B. 80
- C. 120
- D. 150
- E. 100 Discuss
- 5. A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
Options- A. 588 apples
- B. 600 apples
- C. 672 apples
- D. 700 apples Discuss
- 6. How many days are there in x weeks x days?
Options- A. 7x2
- B. 8x
- C. 14x
- D. 7 Discuss
- 7. What was the day of the week on 28th May, 2006?
Options- A. Thursday
- B. Friday
- C. Saturday
- D. Sunday Discuss
- 8. Today is Monday. After 61 days, it will be:
Options- A. Wednesday
- B. Saturday
- C. Tuesday
- D. Thursday Discuss
- 9. The calendar for the year 2007 will be the same for the year:
Options- A. 2014
- B. 2016
- C. 2017
- D. 2018 Discuss
- 10. The last day of a century cannot be
Options- A. Monday
- B. Wednesday
- C. Tuesday
- D. Friday Discuss
Calendar problems
Search Results
Correct Answer: 5%
Explanation:
Increase in 10 years = (262500 - 175000) = 87500.
| Increase% = | ❨ | 87500 | x 100 | ❩% = 50%. |
| 175000 |
| ∴ Required average = | ❨ | 50 | ❩% = 5%. |
| 10 |
Correct Answer: 57%
Explanation:
Total number of votes polled = (1136 + 7636 + 11628) = 20400.
| ∴ Required percentage = | ❨ | 11628 | x 100 | ❩% = 57%. |
| 20400 |
Correct Answer: None of these
Explanation:
| x% of y = | ❨ | x | x y | ❩ | = | ❨ | y | x x | ❩ | = y% of x |
| 100 | 100 |
∴ A = B.
Correct Answer: 100
Explanation:
Let the number of students be x . Then,
Number of students above 8 years of age = (100 - 20)% of x = 80% of x.
| ∴ 80% of x = 48 + | 2 | of 48 |
| 3 |
| ⟹ | 80 | x = 80 |
| 100 |
⟹ x = 100.
Correct Answer: 700 apples
Explanation:
Suppose originally he had x apples.
Then, (100 - 40)% of x = 420.
| ⟹ | 60 | x x = 420 |
| 100 |
| ⟹ x = | ❨ | 420 x 100 | ❩ = 700. |
| 60 |
Correct Answer: 8x
Explanation:
x weeks x days = (7 x + x ) days = 8 x days.
Correct Answer: Sunday
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
∴ 148 days = (21 weeks + 1 day) ≡ 1 odd day.
Total number of odd days = (0 + 0 + 6 + 1) = 7 ≡ 0 odd day.
Given day is Sunday.
Correct Answer: Saturday
Explanation:
Each day of the week is repeated after 7 days.
So, after 63 days, it will be Monday.
∴ After 61 days, it will be Saturday.
Correct Answer: 2018
Explanation:
Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day.
Year : 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 Odd day : 1 2 1 1 1 2 1 1 1 2 1
Sum = 14 odd days ≡ 0 odd days.
∴ Calendar for the year 2018 will be the same as for the year 2007.
Correct Answer: Tuesday
Explanation:
100 years contain 5 odd days.
∴ Last day of 1st century is Friday.
200 years contain (5 x 2) ≡ 3 odd days.
∴ Last day of 2nd century is Wednesday.
300 years contain (5 x 3) = 15 ≡ 1 odd day.
∴ Last day of 3rd century is Monday.
400 years contain 0 odd day.
∴ Last day of 4th century is Sunday.
This cycle is repeated.
∴ Last day of a century cannot be Tuesday or Thursday or Saturday.
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