175760 =2³ x 2 x 5 x 13³
= 2³ x 2 x 5 x 13³
To make perfect cube, it must be divided by 2 x 5 = 10
If LCM = HCF then, the two numbers are equal.
3000 ? 3 = 2997
We know that,
1 meter = 100 cms.
=> 1 meter = 3.28084 feet.
After 5 mins ..... 3 persons will get rumour
After 10 mins .... 3x2 + 3 = 9 =
persons will get
after 15 =5x3 min ......9x2 + 9 =27 =
persons will get news.
.
.
after 5x6 mins ...
= 729 persons will get news.
Therefore, time taken to spread the rumour to 729 persons is 30 minutes.
From the given information in the question
24 ÷ 4 + 6 - 3 x 4
6 + 6 - 12 = 0
Let number of 2 wheelers be 'x'
and 4 wheelers be 'y'
Given total number of vehicles = 200
i.e, x + y = 200 ....(1)
Given total number of wheels = 580
i.e, 2x + 4y = 580 ...(2)
By solving (1)&(2), we get
y = 90
=> x = 110
Therefore, number of two wheelers = 110
number of four wheelers = 90
Given two lines are parallel
pa+b=2
b=-pa+2..........(1)
3a+b=4
b=-3a+4 ...........(2)
m1 = -p
m2= -3
The condition for the two lines to be parallel is m1=m2
p = 3
There are total 5 ways.
we have only one kg of weight so,
2kg = 1kg + 1kg
4kg = 1 + 2 + 1
8kg = 1 + 2 + 4 + 1
16kg = 1 + 2 + 4 + 8 + 1
31kg = 1 + 2 + 4 + 8 + 16
So 5 weights are needed.
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