Test: Quantitative Techniques- 6


19 Questions MCQ Test Mock Test Series for CLAT 2021 | Test: Quantitative Techniques- 6


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QUESTION: 1

Directions : Answer the questions on the basis of the information given below.
The table given below shows the minimum and the maximum temperature (in degree Celsius) recorded on the 1 st day of each month in five different cities.

What is the difference between the maximum temperature of London on 1st November and the minimum temperature of Boston on 1 st January?

Solution:

Maximum temperature of London on 1st November = 4°C.
Minimum temperature of Boston on 1st January = -7°C
Difference = 4 - (-7) = 11°c.

QUESTION: 2

Directions : Answer the questions on the basis of the information given below.
The table given below shows the minimum and the maximum temperature (in degree Celsius) recorded on the 1 st day of each month in five different cities.

During the given five months which city recorded the maximum variation in temperature and by how much? (Variation = Highest max. temp - Lowest min. temp)

Solution:

Maximum variation in temperature in each of the cities:
Boston = 35 - (-7) = 42
Moscow = 12 - (-13) = 25
London = 15 - (-19) = 34
Cairo = 45 - (11) = 34
Melbourne = 15 - (-13) = 28
It is clear that Boston witnessed the maximum variation in temperature.

QUESTION: 3

Directions : Answer the questions on the basis of the information given below.
The table given below shows the minimum and the maximum temperature (in degree Celsius) recorded on the 1 st day of each month in five different cities.

In which month is the difference between the maximum and the minimum temperatures of Boston the second highest?

Solution:

The difference between the maximum and minimum temperatures of Boston is second highest in the month of November.
12 + 9 +15 + 2 + 5
5

QUESTION: 4

Directions : Answer the questions on the basis of the information given below.
The table given below shows the minimum and the maximum temperature (in degree Celsius) recorded on the 1 st day of each month in five different cities.

What is the average maximum temperature of Melbourne over all the months together?

Solution:
QUESTION: 5

Directions : Answer the questions on the basis of the information given below.
The table given below shows the minimum and the maximum temperature (in degree Celsius) recorded on the 1 st day of each month in five different cities.

What is the ratio of the minimum temperature of Melbourne on 1st September to the maximum temperature of London on 1st October?

Solution:

Required ratio = 9 : 15 = 3 : 5.

QUESTION: 6

Directions : Answer the questions on the basis of the information given below.
Mr.Jindal purchases shares of six companies - A, B, C, D, E and F - in January 2018 and reviews his investment portfolio after a year. The six companies fall under three broad categories - IT, Pharmaceutical and FMCG.
The line graph given below shows the share prices of the 6 companies in January 2018 and 2019.

It is known that the share prices of the two IT companies in which Mr.Jindal invested showed the highest absolute variation. Which of the following options shows the percentage increase in the share price of these two IT companies?

Solution:

The highest absolute variation was shown by E and C.
The required percentage increase for these two companies is C - 60% and E - 20%.

QUESTION: 7

Directions : Answer the questions on the basis of the information given below.
Mr.Jindal purchases shares of six companies - A, B, C, D, E and F - in January 2018 and reviews his investment portfolio after a year. The six companies fall under three broad categories - IT, Pharmaceutical and FMCG.
The line graph given below shows the share prices of the 6 companies in January 2018 and 2019.

If one of the two FMCG companies showed the highest percentage variation in the share price while the other FMCG company showed the lowest percentage variation and Mr.Jindal had purchased 150 shares of each of these companies, then what was the total value of these shares in January 2019?

Solution:

The highest and lowest percentage variation was for C and D respectively.
Total value of these shares = 320 x 150 + 440 x 150 = Rs.1,14,000.

QUESTION: 8

Directions : Answer the questions on the basis of the information given below.
Mr.Jindal purchases shares of six companies - A, B, C, D, E and F - in January 2018 and reviews his investment portfolio after a year. The six companies fall under three broad categories - IT, Pharmaceutical and FMCG.
The line graph given below shows the share prices of the 6 companies in January 2018 and 2019.

If Mr.Jindal had purchased 10 shares each of four of the above mentioned companies, then what can be the minimum possible percentage return?

Solution:

For minimum possible percentage gain we take
those companies that have showed the minimum % increase.
These companies are B, D, E and F.

QUESTION: 9

Directions : Answer the questions on the basis of the information given below.
Mr.Jindal purchases shares of six companies - A, B, C, D, E and F - in January 2018 and reviews his investment portfolio after a year. The six companies fall under three broad categories - IT, Pharmaceutical and FMCG.
The line graph given below shows the share prices of the 6 companies in January 2018 and 2019.

Which of the following represents the descending order of the percentage increase in share prices of the above mentioned companies?

Solution:

It is clear from the table that C > A > F > E > B > D is the correct order.

QUESTION: 10

Directions : Answer the questions on the basis of the information given below.
Mr.Jindal purchases shares of six companies - A, B, C, D, E and F - in January 2018 and reviews his investment portfolio after a year. The six companies fall under three broad categories - IT, Pharmaceutical and FMCG.
The line graph given below shows the share prices of the 6 companies in January 2018 and 2019.

If Mr.Jindal had purchased exactly 100 shares on
January 2018, then what would be the difference between the maximum and minimum returns that he could possibly get in January 2019 from buying the shares of these six companies in any combination? 

Solution:

Difference between the maximum and minimum
Returns = 100 x {(320 - 200) - (440 - 400)} = Rs.8,000.

QUESTION: 11

Directions : Answer the questions on the basis of the information given below. The table given below shows the State-wise Population Growth Rate of 10 states, in percentages.

Select the options that represents the states which occupied the first two ranks in terms of the population growth rate during the given three decades.

Solution:

Ranks - Year/State:
Rank 1: 1981-1991/Rajasthan; 1991-2201,20012011/Bihar
Rank 2: 1981-1991/Madhya Pradesh; 1991-2001, 2001-2011/Rajasthan

QUESTION: 12

Directions : Answer the questions on the basis of the information given below. The table given below shows the State-wise Population Growth Rate of 10 states, in percentages.

Select the option with the states for which the rank in terms of the population growth rate remained unchanged from 1991-2001 to 2001-2011.

Solution:

From 1991-2001 to 2001-2011: Bihar - Rank 1; Rajasthan - Rank 2.

QUESTION: 13

Directions : Answer the questions on the basis of the information given below. The table given below shows the State-wise Population Growth Rate of 10 states, in percentages.

Which among the following four states shows the highest percentage increase in population from 1981-1991 to 2001-2011?

Solution:

Let the population at the beginning of 1981 be 100 in all the four states.
Therefore, population in each of these states will be:
Karnataka = 100 x 1.2112 x 1.175 x 1.157 = 164.6596
Andhra Pradesh = 100 x 1.242 x 1.146 x 1.111 = 158.1322
Bihar = 100 x 1.2338 x 1.286 x 1.251 = 198.492 
Tamil Nadu = 100 x 1.1539 x 1.117 x 1.156 = 148.9976
Hence, Bihar saw the highest percentage increase in population in the three decades.
Short cut: From the table, Bihar shows the highest growth rate.

QUESTION: 14

Directions : Answer the questions on the basis of the information given below. The table given below shows the State-wise Population Growth Rate of 10 states, in percentages.

In how many states did the population growth rate increase from 1981-1991 to 1991-2001?

Solution:

Three states - Uttar Pradesh, Bihar and Gujarat.

QUESTION: 15

Directions : Answer the questions on the basis of the information given below.
The line graph given below shows the Consumer Price Index of five States/UTs from January to October of the year 2016.

Which was the only state to register a drop in the Consumer Price Index from January to October and by how many points did it drop?

Solution:

By observing the graph we can clearly see that
Meghalaya is the only State/UT that registered a drop in the Consumer Price Index from January to October and the drop is (134.2 - 132.1) = 2.1 points.

QUESTION: 16

Directions : Answer the questions on the basis of the information given below.
The line graph given below shows the Consumer Price Index of five States/UTs from January to October of the year 2016.

Which state did not register a continuous increase or decrease in the Consumer Price Index for more than one time interval during the above mentioned time period?

Solution:

By observing the graph we can clearly see that Daman and Diu witnessed a continuous fluctuation in the Consumer Price Index from January to October.

QUESTION: 17

Directions : Answer the questions on the basis of the information given below.
The line graph given below shows the Consumer Price Index of five States/UTs from January to October of the year 2016.

What was the change in the average Consumer Price Index of all the five States/UTs from April to October? 

Solution:
QUESTION: 18

Directions : Answer the questions on the basis of the information given below.
The line graph given below shows the Consumer Price Index of five States/UTs from January to October of the year 2016.

If he States/UTs are ranked according to the 531 increase in the number of points in the Consumer Price Index from January to October of 2016, then which three States/UTs are first, second and third? 

Solution:

Increase in the number of points in the Consumer Price Index from January to October for:
Nagaland = 136.1 - 130.3 = 5.8
Meghalaya = 132.1 - 134.2 = -2.1
Jharkhand = 134.9 - 126.5 = 8.4
Chattisgarh = 133.7 - 131.3 = 2.4
Daman and Diu = 138.3 - 135.8 = 2.5
Hence, Jharkhand, Nagaland and Daman & Diu are first, second and third.

QUESTION: 19

Directions : Answer the questions on the basis of the information given below.
The line graph given below shows the Consumer Price Index of five States/UTs from January to October of the year 2016.

During the above mentioned time period which States/UTs registered the highest and the lowest Consumer Price Indices and during which months respectively?

Solution:

By observing the graph we can clearly see that the highest and the lowest Consumer Price Indices were for Daman and Diu in June and Jharkhand in January respectively.

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