Question
What is the ratio of the sum of the squares of the first
8 natural numbers to the sum of the first 12 odd natural numbers?Solution
Sum of first 'n' odd numbers = n2
Sum of square of first 'n' natural numbers. =Â {(n x (n + 1) x (2n + 1)}/6
ATQ
Sum of square of first 8 natural numbers = {8 X ([8 + 1) X (8 X 2 + 1) ] ÷ 6} = [(8 X 9 X 17) ÷ 6] = 204
Sum of first 12 odd natural numbers = n2Â = 122Â = 144
Required ratio = (204/144) = 17:12
In the question below, three sentences are given, each divided into four parts, which may or may not contain grammatical errors. From the options, choos...
In the sentence, certain words are in bold and numbered from A to E, which are the possible pairs to be interchanged. Choose the pair(s) of words which...
The interviewer asked the candidate (a) / to what district (b) / he came from. (c) / No Error (d)Â
Directions : In the following question, a sentence is given, divided into 5 parts. Part (E) is grammatically correct. Out of the other four parts, one ...
This question consists of a sentence that is divided into four parts numbered (1) to (4). Only one part of the sentence is not acceptable in standard w...
In these questions, some of the sentences have errors and some have none. Find out which part of a sentence has an error and indicate corresponding to t...
1.The brain is not only a receiver, it is also a transmitter of thoughtpackets.
2. This sending and receiving of thought packets is governed by t...
Care for the kids (A)/at school has never (B)/ been tiring, as I was (C)/born with a talent for it (D).
Read the given sentence to find out whether there are any grammatical/contextual errors in it. The errors, if any, will be in two of the phrases of the ...
Except for coastal peninsular areas, (A)/almost all of the India (B)/received deficit rainfall in March (C).
Relevant for Exams:
