MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Menu
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 440 off
USE CODE: MOB20

				   

A  leaf  is  torn  from  a  paperback  novel. The  sum  of  the  numbers  on  the  remaining  pages  is 15000.  What are the page numbers on the torn leaf ?

4 years ago

Share

Answers : (1)

										Hello student,
Please find the answer to your question below
The sum of the numbers form an arithmetic progression.
So, assuming the number of pages is n, the first is number 1. And number missing are p and p+1 (a leaf is torn so two page numbers missing).
Then Sum of all pages= n/2 (2+n-1) {using the formula of sum of AP with a=1}
The Sum of remaining pages =15000=n/2(2+n-1)-p-(p+1);
=> 15000= n+n^2/2-n/2-2p-1
=> 15000=n^2/2+n/2-2p-1
=>14999*2=n^2+n-4p
=>4p=n^2+n-14999*2
=>p=(n^2+n-14999*2)*0.25
=>p=(n(n+1)-14999*2)*0.25
Thus knowing the total number of pages you can determine p and p+1 numerically.
one year ago

Post Your Answer

How to show that the group ( Z 4 , + 4 ) is isomorphic to ( i , *) ?
 
 
first you have to show that there exist an homomorphisim from( Z4, + 4 ) to( i , *) after that if this homomorphisim is a monomorphisim as well as an epimorphisim i.e.,homomorphisim is...
  img
Arif Hossain one month ago
 
Take the mapping n -----> i n . where n is an integer. Its easy to check that its a homomorphism with kernel 4Z. Hence, by the first isomorphism theorem the coset Z/4Z i.e. Z 4 is...
 
mycroft holmes one month ago
25*25
 
 
You can actually find out the squares of any number ending with 5 easilyby using this method. For eg you want to find the square of 25 , take the number before 5 in this case 2 and multiply ...
 
Athiyaman 8 months ago
 
5*5*5*5*=625
 
raju 8 months ago
 
25*25=625
 
charan 8 months ago
if pth term of AP is q and qth term of Ap is p prov that nth term is p+q-n
 
 
a ​p ​= q = a + (p-1)d (1) a q ​=p = a + (q-1)d (2) (1) – (2​) q-p = (p-q)d d= -1 Substituting d in (1) a= p+q -1 a n = a+(n-1)d = p+q-1 + (n-1)(-1) a n = p+q-1 -n +1 = p+q-n
  img
Harsh Patodia 3 months ago
 
Let the A.P. be given by q = a + (p -1)d ... ( 1 ) p = a + (q -1)d ... ( 2 ) Subtracting ( 2 ) from ( 1 ), q - p = (p - q)d => d = -1 Putting d = -1 in ( 1 ), a = p + q - 1 nte term = a +...
 
Nikhilkumar 2 months ago
can someone tell me where is monotonicity part in the book M.L. Khanna. I’m unable to solve questions of monotonicity.
 
 
Monotonocity part in Ml khanna is in chapters like derivatives,differentiations etc
  img
Charchit Tailong 9 months ago
find the integration of the ques 2+3cosx/sinx+2cosx+3
 
 
Dear Student, For this type of problem, Assume, numerator = A(differentition of Denominator) + B(Denominator) + C From here find the values of A, B and C. then Integrate the problem. Thanks.
  img
Vijay Mukati 2 months ago
(1+sint ) ( 1 + cost ) = 5 / 4 Find the value of ( 1 - sint ) ( 1 - cost ).
 
 
, and adding . Completing the square on the left in the variable gives Subtracting twice this from our original equation
 
Ajaiy Prabhu 12 days ago
 
First not
 
mycroft holmes 7 months ago
 
My solution disappeared!! Hint: sin t cos t = ½ [(sin t + cost) 2 -1]. So use substitution sin t +cos t = y, and solve for y. Required expression is 5/4 – 2y
 
mycroft holmes 7 months ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 4,500 off
USE CODE: FC30

Get extra R 440 off
USE CODE: MOB20

More Questions On Algebra

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details