Q)Â In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato. The other potatoes are arranged 3 m apart in a straight line, with a total of 10 potatoes, as shown in the figure: A competitor starts from the bucket, picks up the nearest potato, runs […]
arithmatic progression
Q) How many two digits numbers are divisible by 3? Ans: Here, we need to count all two-digit numbers which are divisible by 3. Step 1: Now we know that the smallest two-digit number is 10. ∴ the first two digits number, which is also a multiple of 3, is 12. The largest two-digit number is
How many two digits numbers are divisible by 3? Read More »
Q) Find the 7th term from the end of AP 7, 10, 13, …, 184. Ans: Given AP series is:Â 7, 10, 13, ……. , 184 Step 1: Let’s identify first term and common difference of our given AP: First term: a = 7 Common difference: d = 10 – 7 = 3 Step 2:
Find the 7th term from the end of AP 7, 10, 13, …, 184. Read More »
Q) Find the middle term of A.P 6,13, 20, ……., 230. [Q 21B – Sample Question Paper – CBSE Board 2026] Ans: Step 1: given progression is: 6,13, 20, ……., 230 Here, we can see that first term, a = 6 and the common difference, d = 13 – 6 = 7 Step 2: Let’s
Find the middle term of A.P 6,13, 20, ……., 230. Read More »
Q) The A.P 8, 10, 12,……. has 60 terms. Find the sum of last 10 terms. [Q 21A – Sample Question Paper – CBSE Board 2026] Ans: Step 1: Let’s start with first term and common difference of the given AP: First term, a = 8 and the common difference, d = 10 – 8 =
The A.P 8, 10, 12,……. has 60 terms. Find the sum of last 10 terms. Read More »
Q) -11, -7, -3, ………….,49, 53 are the terms of a progression. Answer the following: (a) What is the type of progression? (b) How many terms are there in all? (c) Calculate the value of middle most term. ICSE Specimen Question Paper 2026 Ans: a) Type of progression: Step 1: given progression is: -11, -7, -3,
-11, -7, -3, ………….,49, 53 are the terms of a progression. Answer the following: Read More »
Q) An Arithmetic Progression (A.P.) has 3 as its first term. The sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference of the A.P. ICSE Specimen Question Paper – 2026 Step 1: Given first term of AP, a = 3 Step 2: Finding value of
Q) The roots of equation (q – r) x2 + (r – p) x + (p – q) = 0 are equal. Prove that: 2q = p + r, that is, p, q & r are in A.P. ICSE Specimen Question Paper – 2026 Step 1: Let’s start comparing the given quadratic equation with standard
Q) In a class, the teacher asks every student to write an example of A.P. Two boys Aryan and Roshan writes the progression as − 5, − 2, 1, 4, …… and 187, 184, 181, …. respectively. Now the teacher asks his various students the following questions on progression. Help the students to find answers
Q) In an equilateral triangle of side 10 cm, equilateral triangles of side 1 cm are formed as shown in the figure below, such that there is one triangle in the first row, three triangles in the second row, five triangles in the third row and so on. Based on given information, answer the following