Question
P, Q, and R are racing on a
circular track with a length of 'd' meters. During the race, P finishes 800 meters ahead of Q and 1200 meters ahead of R. Likewise, Q finishes 600 meters ahead of R. The race lasts for 'r' rounds. Based on the given information, which of the following values cannot be 'r', assuming the track length is an integer?Solution
ATQ, Length of race = d X r = 'dr' metres Distance covered by Q in the time that P takes to cover dr metres = (dr - 800) metres And, distance covered by R in the time that P takes to cover dr metres = (dr - 1200) metres And, distance covered by R in the time that Q takes to cover dr metres = (dr - 600) metres ATQ; {(dr - 800)/(dr - 1200)} = {dr/(dr - 600)} Or, (dr - 600) X (dr - 800) = dr X (dr - 1200) Or, dr2 - 600dr - 800dr + 480000 = dr2 - 1200dr Or, 480000 = 200dr So, dr = 2400 So, r = {2400/d} Among given options, only 18 is not a factor of 2400. So, all the other options are possible answers.
Select the option that represents the correct order of the given words as they would appear in an English dictionary.
1. Variance
2. Viole...
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance...
In a certain code language, βKENTβ is coded as β9^*7β and βBENTβ is coded as β*~79β. What is the code for βBβ in that code language?...
A is 25 years younger than B. The age of B would be double the age of C after 15 years. The current age of B is three times the current age of C. What i...
Two statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance w...
Find the missing number in the given analogy:
144 : 1728 :: 169 : ?
Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left...
Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly ...
If βJβ stands for βΓ·β, βVβ stands for βΓβ, βKβ stands for β+β and βAβ stands for βββ, what will come in place of the...
Choose the next number in the series.
15, 27, 51, 99, 195,?