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Ask QuestionPosted by Yash Jain 7 years, 9 months ago
- 3 answers
Sankalp Kumar 7 years, 9 months ago
H T 7 years, 9 months ago
Posted by Shone Steephen 6 years, 6 months ago
- 1 answers
Sia ? 6 years, 6 months ago
Let the middle most terms of the A.P. be {tex}(a - d), a, (a + d){/tex}
Given {tex}a -d + a + a + d = 225{/tex}
{tex}3a = 225{/tex}
or, {tex}a = 75{/tex}
and the middle term = {tex}\frac { 37 + 1 } { 2 }{/tex}= 19th term
{tex}\therefore{/tex} A.P. is
(a - 18d ),....(a - 2d), {a - d), a, (a + d), (a + 2d),..........{tex}(a + 18d){/tex}
Sum of last three terms
{tex}(a + 18d) + (a + 17d) + (a + 16d) = 429{/tex}
or,{tex} 3a +51d = 429{/tex}
or, {tex}225 + 51d = 429 {/tex}
or, d = 4
First term a1 = a - 18d = 75 - 18{tex}\times{/tex}4 = 3
a2 = 3 + 4 = 7
Hence, A.P. = 3, 7, 11 ,.........., 147
Posted by H T 7 years, 9 months ago
- 3 answers
Posted by Animesh Mishra 7 years, 9 months ago
- 3 answers
Nyayir Riba 7 years, 9 months ago
Mudit Bhatia 7 years, 9 months ago
Posted by Vanshika Rajput 7 years, 9 months ago
- 0 answers
Posted by Dipak Kumar Chaudhary 7 years, 9 months ago
- 1 answers
Posted by Vidhi Padhiyar 7 years, 9 months ago
- 1 answers
Posted by Yash Jain 7 years, 9 months ago
- 5 answers
Aryan Nachiketh 7 years, 9 months ago
Sankalp Kumar 7 years, 9 months ago
Pardeep Narwal 7 years, 9 months ago
Posted by Nidhi Patel 6 years, 6 months ago
- 1 answers
Sia ? 6 years, 6 months ago
Let n =3k
then n + 2 = 3k + 2
and n + 4 = 3k + 4
Case 1: When n=3k ,n is divisible by 3 ............(1)
n + 2 = 3k + 2
or, n + 2 is not divisible by 3
n + 4 = 3k + 4
= 3(k + 1) + 1
or, n + 4 is not divisible by 3
Case 2:When n=3k+1, n is not divisible by 3
n + 2 = (3k + 1) + 2
=3k + 3 = 3(k + 1)
{tex} \Rightarrow{/tex} n+ 2 is clearly divisible by 3..........................(2)
n + 4 = (3k + 1) + 4
= 3k + 5
= 3(k + 1) + 2
{tex}\Rightarrow{/tex} n + 4 is not divisible by 3
Case 3:When n=3k+2,n is not divisible by 3
n + 2 = (3k + 2) + 2
= 3k + 4
(n + 2) is not divisible by 3
x + 4 = 3k + 6 = 3(k + 2)
{tex}\Rightarrow{/tex} n + 4 is divisible by 3........................(3)
Hence, from (1),(2) and (3) it is clear that exactly one of the numbers n, n + 2, n + 4, is divisible by 3.
Posted by Shubham Giri 7 years, 9 months ago
- 1 answers
Posted by Pardeep Narwal 7 years, 9 months ago
- 8 answers
Posted by Ijjkgg Rgfddggjhh 7 years, 9 months ago
- 0 answers
Posted by Prasanna Kumari 7 years, 9 months ago
- 0 answers
Posted by Utkarsh Sharma 7 years, 9 months ago
- 4 answers
Utkarsh Sharma 7 years, 9 months ago
Posted by Chirag Goyal 6 years, 6 months ago
- 1 answers
Sia ? 6 years, 6 months ago
For canal, Width = 6 m and Depth = 1.5 m = {tex}\frac { 3 } { 2 }{/tex}m
Speed of flow of water = 10 km/h = 10 x 1000 m/h = 10000 m/h
= {tex}\frac { 10000 } { 60 }{/tex} m/min = {tex}\frac { 500 } { 3 }{/tex} m/min
{tex}\therefore{/tex} Speed of flow of water in 30 minutes = {tex}\frac { 500 \times 30 } { 3 }{/tex} m/min
{tex}\therefore{/tex} Volume of water that flows in 30 minutes = {tex}6 \times \frac { 3 } { 2 } \times 5000{/tex} = 45000 m3
{tex}\therefore{/tex}The area it will irrigate = {tex}\frac { 45000 } { \left( \frac { 8 } { 100 } \right) } = \frac { 4500000 } { 8 }{/tex}= 562500 m 2
= {tex}\frac { 562500 } { 10000 }{/tex} hectares = 56.25 hectares
Posted by Roushan Kumar 7 years, 9 months ago
- 0 answers
Posted by Mohd Shezal 7 years, 9 months ago
- 3 answers
Nidhi Patel 7 years, 9 months ago
Sankalp Kumar 7 years, 9 months ago
Posted by Dev Kumrawat 7 years, 9 months ago
- 2 answers
Posted by Nishamt Dhayal 7 years, 9 months ago
- 4 answers
Posted by Anurag Dubey 7 years, 9 months ago
- 4 answers
Posted by Varinder Singh Saini 7 years, 9 months ago
- 1 answers
Sankalp Kumar 7 years, 9 months ago
Posted by Aman Phagna 6 years, 6 months ago
- 1 answers
Sia ? 6 years, 6 months ago
Let the usual speed of the plane b x km/hr.
Distance to the destination = 1500 km
Case (i):
{tex}\text{we know that,} \ Speed = {Distance\over Time} \\ \Rightarrow Time = {Distance\over speed}{/tex}
So, in case(i) Time = {tex}1500 \over x{/tex}Hrs
Case (iI)
Distance to the destination = 1500 km
Increased speed = 100 km/hr
So, speed = x+100
So, in case(ii) Time = {tex}1500 \over {x+100}{/tex}Hrs
So, according to the question
{tex}\therefore{/tex} {tex}\frac{1500}{x}{/tex} - {tex}\frac{1500}{x + 100}{/tex} = {tex}\frac{30}{60}{/tex}
{tex}\Rightarrow{/tex} x2 + 100x - 300000 = 0
{tex}\Rightarrow{/tex} x2 + 600x - 500x - 300000 = 0
{tex}\Rightarrow{/tex} (x + 600)(x - 500) = 0
{tex}\Rightarrow{/tex}x = 500 or x = -600
Since, speed can not be negative, x = 500
Therefore, Speed of plane = 500 km/hr.
Posted by Jasmine Kaur 6 years, 5 months ago
- 1 answers
Posted by Ayush Arora 7 years, 9 months ago
- 1 answers
Posted by Aryan Nachiketh 7 years, 9 months ago
- 5 answers
Posted by Mohd Kaif 7 years, 9 months ago
- 1 answers
Sankalp Kumar 7 years, 9 months ago
Posted by Vaibhav Dixit 7 years, 9 months ago
- 3 answers
Posted by Naresh Krish 7 years, 9 months ago
- 1 answers
Harry Potter 7 years, 9 months ago
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Aryan Nachiketh 7 years, 9 months ago
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