Question
Four numbers are arranged in ascending order. When the
1st two numbers are increased by the number equal to their position, and the last two numbers (i.e., 3rd and 4th numbers) are increased by 3 and 5 respectively, the series thus formed is in A.P. If the 1st number is 3 less than the 2nd number, and the sum of all the numbers is 24, then find the average of the last three numbers.Solution
Let the four numbers be a,b,c,d. Given: a=b−3, a+b+c+d=24, and new series (a+1,b+2,c+3,d+5) forms an A.P. A.P. Condition:(b+2) − (a+1)=4, (c+3) − (b+2)=4, (d+5) − (c+3) = 4. This gives: c − b = 3 and d−c=2. Substitute c=b+3 and d=b+5 into the sum equation: a+b+c+d=24 ⟹ (b−3)+b+(b+3)+(b+5)=24. Solve: 4b+5=24 ⟹ b = 4.75. Find other numbers: a = b − 3 = 1.75, c = b+3 = 7.75,d = b+5 = 9.75. Average of the last three numbers: 
What is a partner obligated to do in case of wilful neglect in conducting the firm's business?
In which of the following cases the doctrine of supervening impossibility will not apply?
Which one of the following Section of the Act has been substituted for the old Section by the Information Technology Act, 2000_______.
When is the risk in goods deemed to have passed from the seller to the buyer in a sale of goods?
According to the Information Technology Act, 2000 addressee means_______________
1. In civil cases, an admission is not relevant if:
Which of the following is considered to be an appellate court under the Companies Act?
Where under a contract between the partners the firm is not dissolved by the death of a partner, the estate of a deceased partner is _____________
One Person Company shall file a copy of the financial statements duly adopted by its member, along with all the documents which are required to be attac...
Chapter X III of the Negotiable Instrument Act, 1881 deals with_______.
Relevant for Exams:
