Class 10 Exam  >  Class 10 Questions  >   Directions: In the following questions, A st... Start Learning for Free
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): Sum of first hundred even natural numbers divisible by 5 is 500.
Reason (R): Sum of first n terms of an A.P is given l is last term
  • a)
    Both A and R are true and R is the correct explanation for A.
  • b)
    Both A and R are true and R is not correct explanation for A.
  • c)
    A is true but R is false.
  • d)
    A is false but R is true.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: In the following questions, A statement of Assertion (A) ...
Yes, R is true because the given formula is the apt way to find out the sum of n terms of a given AP.

Now, let's lee whether the Assertion is true or false.

Given:
n = 100
d = 10 [Since they are even multiples of 5]
a = 10 [The first even multiple of 5]
l = 200 [The last even multiple of 5]

Further working is attached below.
As you can see, the sum calculated and the sum given in the assertion are not similar at all.
Hence we can conclude that the given assertion is false.
∴ The correct option is:
(D) Assertion is false but Reason is true.
Free Test
Community Answer
Directions: In the following questions, A statement of Assertion (A) ...
First hundred even natural numbers divisible by 5 are
10, 20, 30, 40, 50............1000
If last term is 1000, then sum of all these numbers can’t be 500
Therefore, A is false but R is true.
Explore Courses for Class 10 exam

Top Courses for Class 10

Question Description
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Sum of first hundred even natural numbers divisible by 5 is 500.Reason (R): Sum of first n terms of an A.P is given l is last terma)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Sum of first hundred even natural numbers divisible by 5 is 500.Reason (R): Sum of first n terms of an A.P is given l is last terma)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Sum of first hundred even natural numbers divisible by 5 is 500.Reason (R): Sum of first n terms of an A.P is given l is last terma)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'D'. Can you explain this answer?.
Solutions for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Sum of first hundred even natural numbers divisible by 5 is 500.Reason (R): Sum of first n terms of an A.P is given l is last terma)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Sum of first hundred even natural numbers divisible by 5 is 500.Reason (R): Sum of first n terms of an A.P is given l is last terma)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Sum of first hundred even natural numbers divisible by 5 is 500.Reason (R): Sum of first n terms of an A.P is given l is last terma)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Sum of first hundred even natural numbers divisible by 5 is 500.Reason (R): Sum of first n terms of an A.P is given l is last terma)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Sum of first hundred even natural numbers divisible by 5 is 500.Reason (R): Sum of first n terms of an A.P is given l is last terma)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): Sum of first hundred even natural numbers divisible by 5 is 500.Reason (R): Sum of first n terms of an A.P is given l is last terma)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev