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प्रश्न
Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.
If the number of digits formed is taken to be n, the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern.
How many segments are required to form 5, 10, 100 digits of the kind −
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उत्तर
It is given that the number of segments required to form n digits of the kind -
is (5n + 2).
Number of segments required to form 5 digits = (5 × 5 + 2)
= 25 + 2 = 27
Number of segments required to form 10 digits = (5 × 10 + 2)
= 50 + 2 = 52
Number of segments required to form 100 digits = (5 × 100 + 2)
= 500 + 2 = 502
संबंधित प्रश्न
Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.
If the number of digits formed is taken to be n, the number of segments required to
form n digits is given by the algebraic expression appearing on the right of each pattern.
How many segments are required to form 5, 10, 100 digits of the kind −
Write down the following in the product form: x2y4
Write down the following in the product form: 9xy2z
Find a number which when multiplied by 5 is increased by 80.
Find two numbers such that one of them exceeds the other by 18 and their sum is 92.
One out of two numbers is thrice the other. If their sum is 124, find the numbers.
The sum of two consecutive even numbers is 74. Find the numbers.
Reena is 6 years older than her brother Ajay. If the sum of their ages is 28 years, what are their present ages?
The two digit number whose ten’s digit is ‘t’ and units’s digit is ‘u’ is ______.
If x is a negative integer, – x is a positive integer.
The side of an equilateral triangle is shown by l. Express the perimeter of the equilateral triangle using l.
The side of a regular hexagon is denoted by l. Express the perimeter of the hexagon using l.
(Hint: A regular hexagon has all its six sides equal in length.)
To find sum of three numbers 14, 27 and 13, we can have two ways:
- We may first add 14 and 27 to get 41 and then add 13 to it to get the total sum 54 or
- We may add 27 and 13 to get 40 and then add 14 to get the sum 54. Thus, (14 + 27) + 13 = 14 + (27 + 13)
This can be done for any three numbers. This property is known as the associativity of addition of numbers. Express this property which we have already studied in the chapter on whole numbers, in a general way, by using variables a, b and c.
The side length of the top of square table is x. The expression for perimeter is ______.
The speed of car is 55 km/hrs. The distance covered in y hours is ______.
In a rectangular plot, 5 square flower beds of side (x + 2) metres each have been laid (see the figure). Find the total cost of fencing the flower beds at the cost of ₹ 50 per 100 metres:
The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 10.
If 
= 2x + 3, 
= `3/2x + 7` and 
= x – 3 then find the value of:
2
+ 
– 
Write an expression for the sum of 1 and twice a number n. If you let n be any odd number, will the result always be an odd number?
