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Q) In a school examination hall, the teacher makes students sit in such a way that no students can cheat from other student. So, the teacher decides to mark the numbers on each chair from 1. 2. 3……. If there are 26 students and each student is seated at alternate position in examination hall such that
In a school examination hall, the teacher makes students sit in such a way that Read More »
Q) A sum of Rs. 1400 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs. 40 less than the preceding price, find the value of each of the prizes. Ans: It is given that each prize money is less than the
Q) If the sum of m terms of an A.P. is the same as the sum of its n terms, show that the sum of its (m+n) terms is zero. Ans: Let = First term of the given A.P. and = Common difference . Then, . Now, Hence Proved! Please do press “Heart”
Q) The ratio of the sum of m and n terms of an A.P. is . Show that the ratio mth and nth term is (2m-1) : (2n-1). Ans: Let: First term of given A.P. = , Common difference = , Then, the sums of m and n terms are given by Then, Please do
Q) In Mathematics, relations can be expressed in various ways. The matchstick patterns are based on linear relations. Different strategies can be used to calculate the number of matchsticks used in different figures. One such pattern is shown below. Observe the pattern and answer the following questions using Arithmetic Progression: (a) Write the AP for
Q) Your friend Veer wants to participate in a 200m race. He can currently run that distance in 51 seconds and with each day of practice it takes him 2 seconds less. He wants to do in 31 seconds. 1. Which of the following terms are in AP for the given situation a) 51,53,55….
Q) Find the common difference of an A.P. whose first term is 8, the last term is 65 and the sum of all its terms is 730. Ans: In the AP question, we are given, a = 8 Last term Tn = 65, Sum of AP Sn = 730; We need to find value of
Q) In an AP, the sum of the first n terms is given by Sn = 6n – n2. Find its 30th term. Ans: VIDEO SOLUTION STEP BY STEP SOLUTION Step 1: We know that, the formula for the sum of the first n terms of an arithmetic progression (AP) is given by: Sn =
In an AP, the sum of the first n terms is given by Sn = 6n – n2. Find its 30th term. Read More »
Q) Deepa has to buy a scooty. She can buy scooty either making cashdown payment of ₹ 25,000 or by making 15 monthly instalments as below. Ist month – ₹ 3425, IInd month – ₹ 3225, IIIrd month – ₹ 3025, IVth month – ₹ 2825 and so on i. Find the amount of 6th
Deepa has to buy a scooty. She can buy scooty either making cashdown payment of ₹ 25,000 Read More »
Q) India is competitive manufacturing location due to the low cost of manpower and strong technical and engineering capabilities contributing to higher quality production runs. The production of TV sets in a factory increases uniformly by a fixed number every year. It produced 16000 sets in 6th year and 22600 in 9th year. 1) In
India is competitive manufacturing location due to the low cost of manpower and Read More »