Question : What is the sum of all natural numbers between 1 and 100 which are multiples of 7?
Option 1: $735$
Option 2: $675$
Option 3: $745$
Option 4: $705$

Question

Question : What is the sum of all natural numbers between 1 and 100 which are multiples of 7?

Option 1: $735$

Option 2: $675$

Option 3: $745$

Option 4: $705$

Team Careers360 · Accepted Answer

Correct Answer: $735$

Solution : The numbers between 1 and 100 which are divisible by 7 are (7,14,21..........98)
Equation for the number of terms: $T_n = a + (n–1)d$
Where $a$ = 1^st term
$n$ = number of terms
$d$ = difference
Putting the values we get,
$98 = 7 + (n - 1)7$
⇒ $91 = (n-1)7$
⇒ $n = 14$
Now sum of terms $S = \frac{n}{2}(2a+(n-1)d)$
= $\frac{14}{2}(2 imes7+(14–1)7)$
= $\frac{14}{2}(14+(13×7))$
= $7 × (14 + 91)$
= $7 × 105$
= $735$
Hence, the correct answer is $735$.

Popular Searches

Question : What is the sum of all natural numbers between 1 and 100 which are multiples of 7?
Option 1: $735$
Option 2: $675$
Option 3: $745$
Option 4: $705$

Related Questions

Question : How many multiples of 7 are there between 100 and 200?
Option 1: 14
Option 2: 15
Option 3: 12
Option 4: 16

Question : The ratio of two numbers is 3 : 7. The sum of the two numbers is 180. what is the positive difference between the two numbers?
Option 1: 80
Option 2: 72
Option 3: 85
Option 4: 78

Question : Three numbers are in the ratio of 1 : 2 : 3. The product of the three numbers is 1296. What is the sum of the three numbers?
Option 1: 36
Option 2: 30
Option 3: 72
Option 4: 24

Question : The difference between the two numbers is 24 while the sum of those two numbers is 120. Which of the options below can be the ratio of those two numbers?
Option 1: 3 : 5
Option 2: 3 : 2
Option 3: 4 : 5
Option 4: 5 : 8

Question : What is the average of the cubes of the first 7 natural numbers?
Option 1: 84
Option 2: 105
Option 3: 96
Option 4: 112

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Popular Searches

Question : What is the sum of all natural numbers between 1 and 100 which are multiples of 7?Option 1: $735$Option 2: $675$Option 3: $745$Option 4: $705$

Related Questions

Question : How many multiples of 7 are there between 100 and 200?Option 1: 14Option 2: 15Option 3: 12Option 4: 16

Question : The ratio of two numbers is 3 : 7. The sum of the two numbers is 180. what is the positive difference between the two numbers?Option 1: 80Option 2: 72Option 3: 85Option 4: 78

Question : Three numbers are in the ratio of 1 : 2 : 3. The product of the three numbers is 1296. What is the sum of the three numbers?Option 1: 36Option 2: 30Option 3: 72Option 4: 24

Question : The difference between the two numbers is 24 while the sum of those two numbers is 120. Which of the options below can be the ratio of those two numbers?Option 1: 3 : 5Option 2: 3 : 2Option 3: 4 : 5Option 4: 5 : 8

Question : What is the average of the cubes of the first 7 natural numbers?Option 1: 84Option 2: 105Option 3: 96Option 4: 112