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10th Grade > Mathematics

ARITHMETIC PROGRESSIONS MCQs

Total Questions : 107 | Page 4 of 11 pages
Question 31.

( 45 + 46 + …. + 113 + 114 + 115 ) = ?  

  1.    4000
  2.    5600
  3.    5656
  4.    5680
 Discuss Question
Answer: Option D. -> 5680
Question 32.

How many odd numbered pages are there in a book of 1089 pages ?

  1.    542
  2.    544
  3.    545
  4.    546
 Discuss Question
Answer: Option D. -> 546
To find the number of odd numbered pages in a book of 1089 pages, we can use the following formula:
If n is the total number of pages in the book, then the number of odd numbered pages is given by (n+1)/2.
Using this formula, we can calculate the number of odd numbered pages in the given book as follows:
Number of odd numbered pages = (1089+1)/2 = 545
However, this formula assumes that the first page of the book is numbered 1, which is not always the case. Sometimes, the first page of a book is numbered as a recto page (right-hand page), which means that the first page is an even-numbered page. In such cases, we need to adjust the formula to take this into account.
If the first page of the book is an even-numbered page, then the number of odd numbered pages is given by n/2. In the given book of 1089 pages, the first page is an even-numbered page (page 2), so we need to use this adjusted formula.
Number of odd numbered pages = 1089/2 = 544.5
Since we cannot have half a page, we need to round up to the nearest integer. Therefore, the number of odd numbered pages in the given book is 546.
Therefore, the correct answer is option D, 546.
If you think the solution is wrong then please provide your own solution below in the comments section .
Question 33.

Find the sum of first 20 odd natural numbers .

  1.    400
  2.    500
  3.    600
  4.    700
 Discuss Question
Answer: Option A. -> 400
Question 34.

Find the sum of all natural numbers between 100 and 200 which are multiples of 3.

  1.    4900
  2.    4950
  3.    4980
  4.    5000
 Discuss Question
Answer: Option B. -> 4950
Question 35.

If a , a – 2 , 3a are in A.P. , then find  a.

  1.    – 1
  2.    1
  3.    –2
  4.    2
 Discuss Question
Answer: Option C. -> –2
Question 36.

In a G.P. the first term is 5 and common ratio is 2 . Then  find the 8th term ?

  1.    540
  2.    640
  3.    740
  4.    840
 Discuss Question
Answer: Option B. -> 640
Question 37.

. Which term of the G.P. 5, 10, 20,40 , … is 1280 ?

  1.    8 th
  2.    9 th
  3.    10 th
  4.    11 th
 Discuss Question
Answer: Option B. -> 9 th
Question 38.

The third term of a geometrical progression is 4 find the product of first 5 terms?

  1.    43
  2.    44
  3.    45
  4.    none of these
 Discuss Question
Answer: Option C. -> 45
Question 39.

Three numbers are in G. P. their sum is 28 and  product is 512 . Find the numbers ?

  1.    2, 6, 18
  2.    2, 8, 16
  3.    4, 8, 16
 Discuss Question
Answer: Option C. -> 4, 8, 16
Question 40.

A club consists of members whose ages are in  A.P. , the common difference being 3 months . If the youngest member  of the club is just 7 years old and the sum of the  ages of all the members is 250 years , then find  the number of members in the club.

  1.    15
  2.    20
  3.    25
  4.    30
 Discuss Question
Answer: Option C. -> 25

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