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How many times between 4 am and 5 am the minute and hour hand of a clock will be at right angle?
When the time by the watch is 20 minutes past 7. What is the angle between the hand of the watch?
Required angle = 15 × 6 + 20 × 1/2
= 90 + 10 = 100°
Smt Indira Gandhi died on 31st October 198 4. What was the day of the week?
1600 years contain 0 odd days. 300 years contain 1 odd day. 83 years contain 20 leap years & 63 ordinary years.
∴ 40 odd days = 5 odd days.
1983 year contains 0 + 1 + 5 = 6 odd days.
Number of days from Jan 1984 to 31st October 1984 = 31 + 29 + 31 + 30 + 31 + 30 + 31 +
30 + 31 = 305 days
In 305 days, there are 4 odd days otal no. of odd days = 6 + 4
= 10 odd days
= 3 odd days.
So, 31st October was Wednesday.
Nilesh’s position is 11th from the top and thirty one from the bottom in a class. How many students are there in the class?
Total no. of students = 11 + 31 – 1 = 41
How many even numbers are there in the given sequence of number which are immediately followed by an odd number as well as immediately preceded by an even number?
8 6 7 6 8 9 3 2 7 5 3 4 2 2 3 5 5 2 2 8 1 1 9
There are 4 such even numbers.
Raju is 5th from the left and Pankaj is 12th from the right end in a row of students. If Pankaj shifts three places towards Raju, his position is 10th from the left. How many students are there in the row?
When Pankaj shifts 3 places towards Raju his position is 15th from right and 10th from left.
∴ No. of students = 15 + 10 – 1 = 24 students.
In a particular year 1st November is Wednesday what day was 1st October in that year?
1st November is Wednesday.
31st October is Tuesday.
29th, 22th, 15th, 8th, 1st October was Sunday.
Some students stand in a row. Manish’s position is 19th from both the ends. How many students are there in that row?
Manish’s position is 19th from both the ends. Total no. of students = 19 + 19 – 1 = 38 – 1 = 37
Navin ranks 18th in a class of 49 students. What is his rank from the last?
Here 49 – 18 = 31
Navin’s rank from last = 32nd
The position of how many digits in the number 321465987 will remain same when the digits are arranged in ascending order?
How many numbers amongst the number 9 to 81 are there which are divisible by 9 but not by 3?
There are no such number which is divisible by 9 but not by 3.
If Aman find that he is 12th from the right in a line of boys and 4th from the left. How many boys should be added to the line such that there are 28 boys in the line?
12 + 4 – 1 = 15
Number of boys to be added = 28 – 15 = 13
If the 25th of August in a year is Thursday, the number of Mondays in that month is
25th August is Thursday. 29th August is Monday. Then 29th, 22th, 15th, 8th, 1st days are Monday. So, there are 5 Monday in that month.
Which two months in a year have the same calendar?
April and July have the same calendar.
The number of odd days in a leap year is
A leap year has 366 days.
366 days = 52 weeks + 2 days
No. of odd days in a leap year = 2