Question

14. One page is torn from a booklet whose
pages are numbered in the usual
manner starting from the first page as 1.
The sum of the numbers on the
remaining pages is 195. The torn page
contains
which of the following
numbers?
(a) 5,6
(b) 7,8
(c) 9, 10
(d) 11, 12​

Answer 1

Answer:B

Step-by-step explanation:

1+2+3+4+5+6+9+10+11+12+13+14+15+18+17+18+19+20 = 195

So the numbers left are 7 and 8.

Answer 2

Answer:

Required numbers are 7 and 8.

So, option b is the correct answer.

Step-by-step explanation:

From a booklet with pages numbered in the usual way, one page is torn from the first page 1.

The sum of the numbers on the remaining pages is 195

Formula used:

1. Sum of n natural numbers = (n/2) (n + 1)

Calculations:

According to the question, the amount is 195

But there is one page that has been torn out

So we count the number of pages in the book as x

So the total is 195 + x

So,

195 + x = (n/2) (n + 1) (number of pages starts from 1, which is a natural number)

Now look at its value, which is equal to 195

If n = 19, the sum of the pages is 190, so it cannot be read

Currently 20, sum of pages = 210 [(20/2) × 21 = 210)

So the number of pages must be 20

Now we can assume that

195 + x = 210

⇒ x = 15

There are a total of 15 pages in the selection (pages 7 and 8)

∴ The torn page has 7 and 8 numbers.

Sum related two more questions:

https://brainly.in/question/3239864

https://brainly.in/question/2863410

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