DILR Sets (with Video solutions) - Shashank Prabhu, CAT 100 Percentiler - Part 5
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Table A below provides data about ages of children in a school. For the age given in the first column, the second column gives the number of children not exceeding the age. For example, first entry indicates that there are 9 children aged 4 years or less.
Tables B and C provide data on the heights and weights respectively of the same group of children in a similar format. Assuming that an older child is always taller and weighs more than a younger child, answer the following questions. (If you think that any of the answers cannot be determined, put X as your answer)
What is the number of children of age 9 years of less whose height does not exceed 135 cm?
How many children of age more than 10 years are taller than 150 cm and do not weigh more than 48 kg?
Among the children older than 6 years but not exceeding 12 years, how many weigh more than 38 kg?
The Film Federation of India chooses a movie to be sent as an official entry to the Oscars every year. Over the last few years, Newton, Court, Liar’s Dice and Visaranai were sent to the Oscars by giving them ratings on four parameters namely Story, Dialogue, Cinematography and Direction. However, because of the recent rains in Mumbai, there was smudging of the paper on which the ratings were mentioned. After a bit of effort, the FFI could come up with the following table that indicates the possible ratings obtained by the movies in the different parameters.
Further, it is known that
A. No movie obtained the same rating in any two parameters
B. No two movies obtained the same rating in any parameter
C. The aggregate of the ratings in the four parameters, obtained by each movie was different.
D. The aggregate of the ratings obtained by the four movies was different across the four parameters.
If you cannot arrive at a unique answer, mark X as your response.
What is the aggregate of the ratings obtained by the four movies for Story?
In which of the following parameters the aggregate ratings obtained by all the four mentioned movies can never be the maximum?
a. I only
b. II only
c. III only
d. II and III
The aggregate ratings secured by Newton, when Court gets a rating of 7 for Direction, is
The time traveler visited the earth at numerous times in the future. The table given below provides information about the percentage of Morlocks and Eloi (who form the total population) in AD 802,701, AD 802,702, AD 802,703 and AD 802,704.
The number of Morlocks in the years AD 802,701, AD 802,702, AD 802,703 and AD 802,704 is given by H, G, W and T respectively. The following equations are known:
H + G + W = 4600
G + W + T = 6100
G – W = 500
H + T = 3300
What is the number of Morlocks in AD 802,703?
What is the ratio of the total number of inhabitants in AD 802,704 to the number of Eloi in AD 802,703?
Additional Information for questions 3 and 4: The time traveler newly observed that there were a total of 2000 inhabitants more than what were officially recorded over the years such that the distribution in AD 802,701, AD 802,702, AD 802,703 and AD 802,704 of these newly observed inhabitants was in the ratio 4:3:2:1.
If the total number of Morlocks that were newly observed over the four years is equal to the total number of Morlocks in AD 802,701 after the addition of the newly observed inhabitants, then the total number of Eloi that have been newly observed will be at most?
If the total number of Morlocks that were newly observed is equal to the number of Morlocks in AD 802,701 after the addition of the new inhabitants, then the total number of Eloi that have been newly observed will be at least