Self Studies

Arithmetic Prog...

TIME LEFT -
  • Question 1
    1 / -0

    If the sum of the first 11 terms of an AP equals the sum of the first 19 terms, then what is the sum of the first 30 terms?

  • Question 2
    1 / -0

    Directions: Find the sum of the given series.

    101 + 99 + 97 + ... + 47

  • Question 3
    1 / -0

    The sum of the 9th, 14th and 18th terms of an AP is equal to the sum of the 20th and 24th terms. What is the ratio of the 4th term to the 2nd term?

  • Question 4
    1 / -0

    The interior angles of a polygon are in A.P. If the least angle is 42° and common difference is 33°, the number of sides is

  • Question 5
    1 / -0

    For an A.P., the 1st term and the 13th term are and m, respectively. What is the common difference of the AP?

  • Question 6
    1 / -0

    If the 17th term of an A.P. is 2 times its 15thterm and the common difference is 6, then what would be the 18th term of the A.P.?

  • Question 7
    1 / -0

    What will be the sum of the first 85 natural number which are divisible by 6?

  • Question 8
    1 / -0

    What will be the three consecutive terms if the sum of three terms of an A.P. is 54 and their product is 5544?

  • Question 9
    1 / -0

    The sum of the first n terms of an A.P. is 126. The first term and the common difference of the A.P. are 11 and 4, respectively. Which of the following is the value of n?

  • Question 10
    1 / -0

    Find the sum of n terms of the series 5, 2, –1, –4, ....

  • Question 11
    1 / -0

    If a, b, c, d, e and f are in AP, then find the value of e - c.

  • Question 12
    1 / -0

    In an AP, the mth term is and the nth term is . The sum of first mn terms is

  • Question 13
    1 / -0

    The first term of an arithmetic progression is 2 and the fourth term is 6. If the sum of first n terms of the progression is 6800, find the value of n.

  • Question 14
    1 / -0

    Susan had arranged to pay off her debt of $3,600 to CASA Bank in 40 monthly installments in the form of an A.P. When 30 of the installments had been repaid, she died leaving one third of the debt unpaid. What was the value of the first installment?

  • Question 15
    1 / -0

    Find the sum of all even numbers from 10 to 200 (inclusive), excluding those, which are multiples of 6.

  • Question 16
    1 / -0

    The sum of the first n terms, the first term and the common difference of an AP are 418, 13 and 5, respectively. What is the value of n?

  • Question 17
    1 / -0

    In an AP, the first term is x, the common difference is y and the nth term is z. Which of the following expressions is the value of n?

  • Question 18
    1 / -0

    The sales of a particular item decrease every year uniformly by a fixed number. The total sales of the product for the first 8 years were 1,18,800 units and the sale in the 10th year was 9,900 units. What was the sale of the product in the 4th year?

  • Question 19
    1 / -0

    The number of admissions in a college in the 4thyear was 5400 and in the 6thyear was 8600. Assuming that the number of admissions increases uniformly every year, the total number of admissions for n years was 49,600. How many admissions took place in the 8th year?

  • Question 20
    1 / -0

    The production of ACs in the first year was 10,000 units and in the nth year was 2500 units. Assuming that the production of ACs decreases per year by 1500 units, find the total production of ACs from the first year till the nth year.

  • Question 21
    1 / -0

    A chocolate factory produced 5400 chocolates in the 7th month and 7000 chocolates in the 11th month of the year. Assuming that the production increased uniformly by a fixed number every month, how many chocolates were produced in one year?

  • Question 22
    1 / -0

    In a strange long race, the participants have to cross 30 hurdles, which are placed at equal distance from one another in a line, and have to come back to their original positions after crossing each hurdle. The first hurdle is placed at a distance of 15 m from the starting point. If the total distance they have to cover is 9.6 km, then how far are the hurdles placed from each other?

  • Question 23
    1 / -0

    Choose the correct option:

    (i) If the first two terms of an A.P. are k and k + 2, then what is the difference between the sum of the first 11 terms and the sum of the first 7 terms?
    (ii) What will be the difference between the sum of all the odd natural numbers and the sum of all the even natural numbers starting from zero? (k is the number of terms)
    (iii) What will be the addition of the sum of the first 5 terms and the sum of the last 5 terms of the series (k + 1), (k + 3), …, (k + 13)?

  • Question 24
    1 / -0

    What will be the sum of first twenty-five terms of an A.P. if the difference between the fourth and second terms of the A.P. is 8 and the product of the same terms is 20?

  • Question 25
    1 / -0

    Fill in the blanks:

    (A) If the sums of first 8 and 19 terms of an A.P. respectively are 64 and 361, then the sum of its first n terms will be _______.
    (B) If the sum of n terms of an A.P. is an(n - 1), then the sum of the squares of these terms is ________.
    (C) If the pth, qth and rth terms of an A.P. respectively are a, b and c, then a(q - r) + b(r - p) + c(p - q) is _________.

Submit Test
Self Studies
User
Question Analysis
  • Answered - 0

  • Unanswered - 25

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • 11
  • 12
  • 13
  • 14
  • 15
  • 16
  • 17
  • 18
  • 19
  • 20
  • 21
  • 22
  • 23
  • 24
  • 25
Submit Test
Self Studies Get latest Exam Updates
& Study Material Alerts!
No, Thanks
Self Studies
Click on Allow to receive notifications
Allow Notification
Self Studies
Self Studies Self Studies
To enable notifications follow this 2 steps:
  • First Click on Secure Icon Self Studies
  • Second click on the toggle icon
Allow Notification
Get latest Exam Updates & FREE Study Material Alerts!
Self Studies ×
Open Now