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10.04.2021

NCERT Solutions for Class 10 Maths Chapter 6 Exercise Triangles  The mouse jumps on following steps: 14, 16,18, 20, 22, 24, 26 and The cat jumps on following steps: 3, 6, 9,12,15, 18, 21, 24, 27 and Both cat and the mouse jump on following steps and Yes, because they never come together at steps 18 and So, the mouse safely gets away.

Find Out 1. If the cat starts from the 5th step and jumps five steps at a time and the mouse starts from the 8th step and jumps four steps at a time, can the mouse get away? Cat jumps the following steps: 5,10,15,20,25 Tbe mouse jumps the following steps: 8,12,16,20,24 Both of them reach the step 20 after four jumps.

Hence, the mouse will not get away. Monto cat is waiting for somebody. Do you know for whom he is waiting? There is a trick to find out. Let us mark red with R, yellow with Y and blue with B.

The last player left is the winner. Play the game by changing the number to 4. Now which numbers did you replace with Meow? Write any ten multiples of 5. Following are the 10 multiples of 5: 5,10,15, 20, 25, 30, 35, 40, 45 and Throw two dice together. What are the numbers that turn up on the faces of the dice?

Make a two-digit number using them. If it is a multiple of any of the numbers written next to the circles, you can write it in that circle.

The one who can write more numbers in 10 rounds is the winner. Hint: I have 3 and 2 on my dice. If I make 23, it is not the multiple of any of the numbers. So I will make 32, which is a multiple of 4, and write it in the red circle, Ans. Following are some examples: ,24,36,42 ,25,35,45 ,16,24,32 ,21,35, Think of a number.

If it is a multiple of 3 write it in the red circle. If it is a multiple of 5 write it in the blue circle. Where do I write 15? It is a multiple of both 3 and 5. We put 15 in the purple part. Some numbers are multiples of both 3 and 5 and hence they are common to both 3 and 5. If you can write the multiples common to 3 and 5 in the purple part, then will they still be in both the red and the blue circles? Which is the smallest among these common multiples? Write the common multiples of 2 and 7.

Following are the common multiples of 2 and 7: 14,28,42,56,70,����. Repeat the game by putting the multiples of 4, 6 and 5 in the circles.

What common multiples of 5 and 6 did you write in the green part? What common multiples of 4 and 6 are written in the orange part? In which coloured part did you write the common multiples of 4, 5 and 6? They are written in the grey part. What is the smallest common multiple of 4, 5 and 6?

Sunita took some tamarind imli seeds. She made groups of five with them, and found that one seed was left over.

She tried making groups of six and groups of four. Each time one seed was left over. What is the smallest number of seeds that Sunita had? In the previous question we have seen that the smallest common multiple of 4, 5 and 6 is Ammini is arranging 12 tamarind seeds in the form of different rectangles.

Try to make more rectangles like this using 12 tamarind seeds. How many different rectangles can you make? If there are 15 tamarind seeds how many rectangles can you make? Three rectangles can be made using 12 seeds. If there are 15 tamarind seeds, we have rectangles of following sizes: 1 x 15, 3 x 5 Hence, there will be two rectangles. Colouring the Grid In the grid here, a rectangle made of 20 boxes is drawn. The width of this rectangle is 2 boxes. What is its length?

The length is 10 boxes. Colour a rectangle made of 20 boxes in some other way. It can be shown by the following grid. What is the length and width of the rectangle you coloured?

Rectangles of following length and width can be made: 5 x 4 , 20 x 1. In how many ways can you colour a rectangle of 20 boxes? Colour them all in the grid, and write the length and width of each rectangle you have coloured. This can be done in three ways: 10 x 2 , 20 x 2 And 5 x 4. Meena is trying to group them.

She can put them in groups of 2, 3, 6, 9 and 18 without any bangle being left. How many groups will she have if she makes groups of 1 bangle each?

Now complete the table, for different numbers of bangles. For each number see what different groups can be made. Complete the multiplication chart given here: Ans. Look at the green boxes in the chart. We pay 1, 2, 3, 4, 6, and 12 are factors of What are the factors of 10? The factors of 10 are: 1, 2, 5, Can you do this from the chart?

Yes, we can find it from the chart also. What are the factors of 36? The factors of 36 are: 1, 2, 3, 4, 6, 9,12,18 and Find out all the factors of 36 from the multiplication chart. What is the biggest number for which you can find the factors from this chart? The biggest number for which we can find the factors from tins chart? The biggest number for which can find factor from the chart is What can you do for numbers bigger than that? The number should be reduced by division method. Then we can use the table for getting further fractions.

Write the factors of 25 in the red circle and the factors of 35 in the blue circle. Which are the factors you have written in the common part of both circles?

These are common factors of 25 and Now write the factors of 40 in the red circle and 60 in the blue circle. What are the factors written in the common part of the circle? Which is the biggest common factor of 40 and 60? The Class 9 Maths Chapter 9 Question Answer Ed factors written in common part of the circle are;1, 2, 4, 5,10 and 20 The biggest common factor of 40 and 60 is Look at the factor tree.

Now you can make another tree like this? In how many ways can you draw a factor tree for 24? Draw three of them below.  Simply said:

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