Explanation

A sequence is arithmetic if the common difference of all terms of a sequence is the same.

A sequence is geometric if the common ratio of all terms of sequence is the same.

A common difference is the difference between consecutive numbers in an arithmetic sequence

Sh14-8-2023

Explanation

In 1 hour, A can do 1/6th of the work

In 1 hour, B can do 1/12th of the work

In 1 hour, Both A & B work 

3/12 + 1/4

Answer: 4 hours

SH14-8-2023

Explanation

If x, y, and z are in proportion, then the correct option will be x: y:: y: z.

Step-by-step explanation:

A proportion is an equation in which two ratios are set equal to each other.

If 3 numbers are in proportion to each other then their ratios should be equal to one another.

ND12_8_2023

Explanation

 option c x=5, y=4, z=3

ND12_8_2023

Explanation

Let, a and b two given numbers.

Let,

$A_1,A_2,A_3.............A_n$ be Arithmetic means between a and b.

$a,A_1,A_2,A_3.............A_n,b$ are in A.P.

$a+A_1+A_2+A_3+......A_n+b=\left(\frac{n+2}{2}\right)\left(a+b\right)$      (first term is =a, last term=b, number of term=n+2)

  $A_1,A_2,A_3.............A_n=\frac{\left(n+2\right)\left(a+b\right)}{2}-(a+b)$

 $=\left(a+b\right)\left[\frac{n+2}{2}-1\right]$

 $=\left(a+b\right)\left[\frac{n+2-2}{2}\right]$

 $=n\left(\frac{a+b}{2}\right)$

$SH14-8-2023$

Explanation

ND12_8_2023

Explanation

Step-by-step explanation:

2 is 1/4 of 8 which means to get from 2 you need to multiply it by 4

1=1.00 which is 100% so it is 400%

ND16-8-2023

Explanation

ND16-8-2023

Explanation

Explanation

Let the cost price of the article be ,x.

Then, sales price = x * 95/100 = 0.95 x

Now, 0.95 x = 1045

So, x = 1045/0.95 = Rs. 1100

Hence, sale price with 5 % profit = 1100 * 105/100 = Rs. 1155

Explanation

Explanation

we have given 120km/hr

1 hour = 60 min

then,

120/60 = 2

then 2 × 15 = 30 .

and that is our answer.

so, 30km/min

…………………..