April 2024

Q) Write first four terms of the A.P. when the first term a and the common difference d are given as follows (v) a = – 1.25, d = – 0.25 Ans: Since we need to form AP consisting of first 4 terms, let’s start from formula for nth term. The nth term of an […]

Q) Write first four terms of the A.P. when the first term a and the common difference d are given as follows (iv) a = – 1, d = 1 / 2 Ans: Since we need to form AP consisting of first 4 terms, let’s start from formula for nth term. The nth term of

Q) Write first four terms of the A.P. when the first term a and the common difference d are given as follows (iii) a = 4, d = − 3 Ans: Since we need to form AP consisting of first 4 terms, let’s start from formula for nth term. The nth term of an AP,

Q) In which of the following situations does the list of numbers involved make an arithmetic progression and why? (iv) The amount of money in the account every year, when Rs. 10,000 is deposited at compound interest at 8% per annum.. Ans: Let’s start from making a sequence of the air amount in the cylinder

Q) In which of the following situations does the list of numbers involved make an arithmetic progression and why? (iii) The cost of digging a well after every metre of digging, when it costs Rs. 150 for the first metre and rises by Rs. 50 for each subsequent metre. Ans: Let’s first start making a sequence

Q) In which of the following situations does the list of numbers involved make an arithmetic progression and why? (ii) The amount of air present in a cylinder when a vacuum pump removes 1/4 of the air remaining in the cylinder at a time. Ans: Let’s start from making a sequence of the air amount in the

Q) In which of the following situations does the list of numbers involved make an arithmetic progression and why? (i) The taxi fare after each km when the fare is Rs 15 for the first km and Rs. 8 for each additional km.  Ans: Let’s first start making a sequence and then check if the sequence

Q. The sum of the reciprocals of Rehman’s ages (in years) 3 years ago and 5 years from now is 1/3 . Find his present age. Ans:  Let’s consider Rehman’s present age be X Hence, his age 3 years ago = X – 3 and his age 5 years from now = X + 5

Q. In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects. Ans:  Let’s consider the marks in mathematics be X.

Q. The diagonal of rectangular field is 60 meters more than the shorter side. If the longer side is 30 m more than the shorter side, find the sides of the field. Ans:  Let’s consider the shorter side of the field be X m. Hence, the longer side will be (X + 30) m (by

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