###
**What is the sum of all positive integers up to 1000, which are divisible by 5 and are not divisible by 2?**

A. 10,050
B. 5050
C. 5000
D. 50,000
**Answer: Option D**

## Show Answer

Solution(By Apex Team)

The positive integers, which are divisible by 5 are 5, 10, 15, ….., 1000
Out of these 10, 20, 30, ……, 1000 are divisible by 2
Thus, we have to find the sum of the positive integers 5, 15, 25, ……, 995
If n is the number of terms in it the sequence
Then,
995 = 5 + 10(n – 1)
⇒ 1000 = 10n
∴ n = 100
Thus the sum of the series
$\begin{aligned}&=\left(\frac{n}{2}\right)(a+l)\\
&=\left(\frac{100}{2}\right)(5+995)\\
&=\frac{100\times1000}{2}\\
&=50000\end{aligned}$

## Related Questions On Progressions

### How many terms are there in 20, 25, 30 . . . . . . 140?

A. 22B. 25

C. 23

D. 24

### Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.

A. 5B. 6

C. 4

D. 3

### Find the 15th term of the sequence 20, 15, 10 . . .

A. -45B. -55

C. -50

D. 0

### The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is

A. 600B. 765

C. 640

D. 680