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Example
Find the Highest Common Factor of 54, 72 and 150.
First we consider 54 and 72. The HCF for these two quantities is calculated as follows:
54) 72 (1 54 --------- 18) 54 (3 54 ------- 0 -------
The HCF is 18. Now we consider 18 and 150 and obtain the HCF for these two quantities. It will be obtained as follows.
18) 150 (8 144 --------- 6) 18 (3 18 ------- 0 -------
We observe that 6 is the highest common factor for these two quantities. That is, 6 is the HCF of the three given quantities.
a person having rs.10 shares of value rs.6000 in a company which pays a 7% dividend invested the money gained by selling those shares and bought rs.25 shares at rs.24 per share in
the ratio of dogs to cats is 2 to 9.if there are 10 dogs how many cats are there?
a=halfbh a=17 b=5
1. How many closed necklaces of length 7 can be made with 3 colors? (notice that 7 is a prime) 2. How many closed necklaces of length 10 can be made with 3 colors (this is di erent
Now we take up combinations and its related concepts. Combinations are defined as each of the groups or selections which can be made by taking some or all of the
OPERATION RESEARCH ABSTRACT
the radii of circular base of right circular cylinder and cone are in the ratio of 3:4 and their height are in the ratio of the 2:3 what is the ratio of their volume?
SOLVE AND GRAPH THE PARABOLA NOTE: WRITE YOUR SOLUTIONS AND COMPLETE EQUATION OF GRAPH SPOINTS EACH 1. V(0,0) (0.2) P-2 2. V(0,0) E-5,0) P=-5 3. V(4-3) F(4,-2) P=1 4. V-1,5)
1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.
There are a variety of strategies that people use for developing this ability. For instance, while adding 1821,695 and 250, a person could estimate it mentally i) by rounding of
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