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. Ans: It is given that first term, a = 3 (given). Let’s consider the common difference as d. Step 1: We know […]
An Arithmetic Progression (A.P.) has 3 as its first term. The sum of the first 8 terms Read More »
Q) Your elder brother wants to buy a car and plans to take loan from a bank for his car. He repays his total loan of Rs. 1,18,000 by paying every month starting with the first installment of Rs. 1000. If he increases the instalment by Rs. 100 every month , answer the following: 1.
Q) A man starts his job with a certain monthly salary and earns a fixed increment every year. If his salary was Rs. 15,000 after 4 years of service and Rs. 18,000 after 10 years of service, what was his starting salary and what was the annual increment? Ans: Step 1: Let’s consider the starting
A man starts his job with a certain monthly salary and earns a fixed increment Read More »
Q) Treasure Hunt is an exciting and adventurous game where participants follow a series of clues/numbers/maps to discover hidden treasures. Players engage in a thrilling quest, solving puzzles and riddles to unveil the location of the coveted prize. While playing a treasure hunt game, some clues (numbers) are hidden in various spots collectively forming an
Treasure Hunt is an exciting and adventurous game where participants follow a series Read More »
Q) Ms. Sheela visited a store near her house and found that the glass jars are arranged one above the other in a specific pattern. On the top layer there are 3 jars. In the next layer there are 6 jars. In the 3rd layer from the top there are 9 jars and so on till
Ms. Sheela visited a store near her house and found that the glass jars are arranged Read More »
Q) If the sum of first 7 terms of an A.P. is 49 and that of first 17 terms is 289, find the sum of its first 20 terms. Ans: Let’s consider the first term be A and the common difference be D. Step 1: We know that sum of first n terms of an A.P.
If the sum of first 7 terms of an A.P. is 49 and that of first 17 terms is 289 Read More »
Q) The ratio of the 10th term to its 30th term of an A.P. is 1 : 3 and the sum of its first six terms is 42. Find the first term and the common difference of A.P. Ans: Step 1: We know that nth term of an A.P. = a + (n-1) d Therefore,
The ratio of the 10th term to its 30th term of an A.P. is 1 : 3 and the sum of Read More »
Q) If the sum of first m terms of an A.P. is same as sum of its first n terms (m ≠ n), then show that the sum of its first (m + n) terms is zero. Ans: Step 1: We know that the sum of first m terms of an AP is given by: Sm
Q) In an A.P., the sum of three consecutive terms is 24 and the sum of their squares is 194. Find the numbers. Ans: Step 1: Let’s consider that the middle term is A, first term is A – D and third term is A + D, here D is the common difference. By given 1st
Q) How many numbers lie between 10 and 300, which when divided by 4 leave a remainder 3? Also find their sum? Ans: Step 1: Since we need to find out numbers divisible by 4 between 10 and 300. These numbers will be in an AP where common difference will be 4. Let’s find out