Mathematics - Quiz (15 Minutes)
1> A car travels to hill top at the speed of 20 km /hr from base and returns at the speed of 25 km /hr. If the distance of hill top from base is 100 km then what is the average speed during this entire journey?
2> Give two practical examples where 11 + 3 = 2 holds good.
3> How many numbers are there which are less than 100 and divisible by both 2,3?
4> What is the angle between Hr and Minute Hands at 1:45 P.M.?
5> Was yr 1900 a leap year?
6> What is sqaure of 75?
7> 27th Feb 2012 was Monday then what would be day on 27th Feb 2013 and 27th Feb 2014?
8> x = 17, a = 1, b = 2, ..., z = 26 then
( x - a ) * ( x - b ) * ...*(x - z) = ?
9> 101 * 101 = 10201
102 * 102 = 10404
103 * 103 = 10609
then 109 * 109 = ?10> A monley has to cross distance of 100 m. In his first leap he crosses 50 m and in each of his subsequent leaps he crosses half of the distance remaining. How many leaps he would take to cross finish line.
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Answers
1> Average speed = Total distance travelled / total time taken
Here Total distance travelled = 200 KM
Total time taken = 9 Hr
Hence average speed = 200 / 9 = 22.22 km /hr
Here you may get tempted to answer this as 22.5 in hurry.
2> 3 Hrs after 11 A.M. we have 2 P.M.
3 months after November we are in February the second month
3> Answer 16
The number divisible by both 2 and 3 is 6
There are 16 numbers less than 100 which are divisible by 6 and hence the answer.
4> The minute hand is at 9
The angle between 9 and 1 = 120
The Hr hand travels 30 degrees in 60 minutes
so in 45 minutes it will travel 22.5 degrees
Hence the total angle = 142.5 degrees
5> No.
The year which ends with 00, needs to be divisible by 400 to qualify as leap year
6> 5625.
To get square of any number ending with 5, first write 25 and then precede it with product of the number (7) and the subsequent number (8)
7> Wednesday and Thursday respectively.
In leap year we have 366 days, which means 2 additional days to 52 weeks. So weekday shift by 2 days
In normal year we have 365 days, which means 1 additional day to 52 weeks and hence the weekday shift by 1 day
8> 0
One of the term in the series would be (x-x)
9> 11881
(a+b)*+(a+b) = a*a + 2*a*b+ b*b
Here a = 100, b = 9
10> Monkey won't reach the finish line.
1> A car travels to hill top at the speed of 20 km /hr from base and returns at the speed of 25 km /hr. If the distance of hill top from base is 100 km then what is the average speed during this entire journey?
2> Give two practical examples where 11 + 3 = 2 holds good.
3> How many numbers are there which are less than 100 and divisible by both 2,3?
4> What is the angle between Hr and Minute Hands at 1:45 P.M.?
5> Was yr 1900 a leap year?
6> What is sqaure of 75?
7> 27th Feb 2012 was Monday then what would be day on 27th Feb 2013 and 27th Feb 2014?
8> x = 17, a = 1, b = 2, ..., z = 26 then
( x - a ) * ( x - b ) * ...*(x - z) = ?
9> 101 * 101 = 10201
102 * 102 = 10404
103 * 103 = 10609
then 109 * 109 = ?10> A monley has to cross distance of 100 m. In his first leap he crosses 50 m and in each of his subsequent leaps he crosses half of the distance remaining. How many leaps he would take to cross finish line.
DON'T SCROLL TILL YOU HAVE FINISHED ANSWERING ALL QUESTIONS
Answers
1> Average speed = Total distance travelled / total time taken
Here Total distance travelled = 200 KM
Total time taken = 9 Hr
Hence average speed = 200 / 9 = 22.22 km /hr
Here you may get tempted to answer this as 22.5 in hurry.
2> 3 Hrs after 11 A.M. we have 2 P.M.
3 months after November we are in February the second month
3> Answer 16
The number divisible by both 2 and 3 is 6
There are 16 numbers less than 100 which are divisible by 6 and hence the answer.
4> The minute hand is at 9
The angle between 9 and 1 = 120
The Hr hand travels 30 degrees in 60 minutes
so in 45 minutes it will travel 22.5 degrees
Hence the total angle = 142.5 degrees
5> No.
The year which ends with 00, needs to be divisible by 400 to qualify as leap year
6> 5625.
To get square of any number ending with 5, first write 25 and then precede it with product of the number (7) and the subsequent number (8)
7> Wednesday and Thursday respectively.
In leap year we have 366 days, which means 2 additional days to 52 weeks. So weekday shift by 2 days
In normal year we have 365 days, which means 1 additional day to 52 weeks and hence the weekday shift by 1 day
8> 0
One of the term in the series would be (x-x)
9> 11881
(a+b)*+(a+b) = a*a + 2*a*b+ b*b
Here a = 100, b = 9
10> Monkey won't reach the finish line.
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