Question
What is the smallest four-digit number that can be
evenly divided by 20, 24, and 36?Solution
We know the smallest four digit number = 1000 LCM of 20, 24 and 36 = 360 Now, when we divide the smallest four digit number i.e. 1000 by 360, then we get the 280 as remainder. So, the smallest four digit number which is exactly divisible by 20, 24 and 36 = {1000 + (360 – 280)} = 1080 Alternate Solution Since, the number is divisible by 20, 24 and 36 this means it is a multiple of 4 Out of given options, only 1000 and 1080 are multiple of 4 but 1000 is not a multiple of 24 and 36 Therefore, required number = 1080
Consider two concentric circles having radii 17 cm and 15 cm. What is the length (in cm) of the chord, of the bigger circle, which is a tangent to the s...
If O is the orthocentre of ΔABC , if ∠ BOC = 105 0 then what is the measure of ∠ BAC?
In the given figure CD is parallel to AB then ∠y is?
If O is circumcentre of acute angled triangle ABC, if ∠ OBC = 150 then ∠BAC = ?
- Length of a chord in a circle of radius 'r' cm, is 40 cm and distance between chord and centre of the circle is 21 cm. Find the value of (2r + 1).
The sides of a triangle are 10 cm, 17 cm, and 21 cm. Find the area of the triangle using Heron’s formula.
The radius of the incircle of a triangle is 8 cm. if the area of the triangle is 56 cm 2 , then its perimeter is?
The internal bisector of ∆ABC at ∠A cuts BC on D and cuts the circumcircle at E. If DE = 6cm, AC = 8cm and AD = 10 cm, then find the length of AB?
Find the area of triangle having sides 5 m, 6 m, and 9 m.
