Set:
The table given below shows the amount, in grams, of carbohydrate, protein, fat
and all other nutrients, per 100 grams of nutrients in seven foodgrains. The first column
shows the foodgrain category and the second column its codename. The table has some missing
values.
The following additional facts are known.
1. Both the
pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein than
any millet.
2. Both the cereals had higher amounts of carbohydrate than any
pseudo-cereal.
3. All the missing values of carbohydrate amounts (in grams) for all the
foodgrains are non-zero multiples of 5.
4. All the missing values of protein, fat and
other nutrients amounts (in grams) for all the foodgrains are non-zero multiples of
4.
5. P1 contained double the amount of protein that M3 contains.
How many foodgrains had a higher amount of carbohydrate per 100 grams of nutrients than
M1?
✓ Accepted Answer:
5
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Set:
The table given below shows the amount, in grams, of carbohydrate, protein, fat
and all other nutrients, per 100 grams of nutrients in seven foodgrains. The first column
shows the foodgrain category and the second column its codename. The table has some missing
values.
The following additional facts are known.
1. Both the
pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein than
any millet.
2. Both the cereals had higher amounts of carbohydrate than any
pseudo-cereal.
3. All the missing values of carbohydrate amounts (in grams) for all the
foodgrains are non-zero multiples of 5.
4. All the missing values of protein, fat and
other nutrients amounts (in grams) for all the foodgrains are non-zero multiples of
4.
5. P1 contained double the amount of protein that M3 contains.
How many grams of protein were there in 100 grams of nutrients in M2?
✓ Accepted Answer:
12
No explanation saved for this question yet.
Set:
The table given below shows the amount, in grams, of carbohydrate, protein, fat
and all other nutrients, per 100 grams of nutrients in seven foodgrains. The first column
shows the foodgrain category and the second column its codename. The table has some missing
values.
The following additional facts are known.
1. Both the
pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein than
any millet.
2. Both the cereals had higher amounts of carbohydrate than any
pseudo-cereal.
3. All the missing values of carbohydrate amounts (in grams) for all the
foodgrains are non-zero multiples of 5.
4. All the missing values of protein, fat and
other nutrients amounts (in grams) for all the foodgrains are non-zero multiples of
4.
5. P1 contained double the amount of protein that M3 contains.
How many grams of other nutrients were there in 100 grams of nutrients in M3?
✓ Accepted Answer:
24
No explanation saved for this question yet.
Set:
The table given below shows the amount, in grams, of carbohydrate, protein, fat
and all other nutrients, per 100 grams of nutrients in seven foodgrains. The first column
shows the foodgrain category and the second column its codename. The table has some missing
values.
The following additional facts are known.
1. Both the
pseudo-cereals had higher amounts of carbohydrate as well as higher amounts of protein than
any millet.
2. Both the cereals had higher amounts of carbohydrate than any
pseudo-cereal.
3. All the missing values of carbohydrate amounts (in grams) for all the
foodgrains are non-zero multiples of 5.
4. All the missing values of protein, fat and
other nutrients amounts (in grams) for all the foodgrains are non-zero multiples of
4.
5. P1 contained double the amount of protein that M3 contains.
What is the median of the number of grams of protein in 100 grams of nutrients among
these food grains?
✓ Accepted Answer:
12
No explanation saved for this question yet.
Set:
Over the top (OTT) subscribers of a platform are segregated into three
categories: i) Kid, ii) Elder, and iii) Others. Some of the subscribers used one app and the
others used multiple apps to access the platform. The figure below shows the percentage of
the total number of subscribers in 2023 and 2024 who belong to the 'Kid' and 'Elder'
categories.
The following additional facts are known about the numbers of
subscribers.1. The total number of subscribers increased by 10% from 2023 to 2024.
2.
In 2024, 1/2 of the subscribers from the 'Kid' category and 2/3 of the subscribers from the
'Elder' category subscribers use one app.
3. In 2023, the number of subscribers from
the 'Kid' category who used multiple apps was the same as the number of subscribers from the
'Elder' category who used one app.
4. 10,000 subscribers from the 'Kid' category used
one app and 15,000 subscribers from the 'Elder' category used multiple apps in 2023.
How many subscribers belonged to the 'Others' category in 2024?
No explanation saved for this question yet.
Set:
Over the top (OTT) subscribers of a platform are segregated into three
categories: i) Kid, ii) Elder, and iii) Others. Some of the subscribers used one app and the
others used multiple apps to access the platform. The figure below shows the percentage of
the total number of subscribers in 2023 and 2024 who belong to the 'Kid' and 'Elder'
categories.
The following additional facts are known about the numbers of
subscribers.1. The total number of subscribers increased by 10% from 2023 to 2024.
2.
In 2024, 1/2 of the subscribers from the 'Kid' category and 2/3 of the subscribers from the
'Elder' category subscribers use one app.
3. In 2023, the number of subscribers from
the 'Kid' category who used multiple apps was the same as the number of subscribers from the
'Elder' category who used one app.
4. 10,000 subscribers from the 'Kid' category used
one app and 15,000 subscribers from the 'Elder' category used multiple apps in 2023.
What percentage of subscribers in the 'Kid' category used multiple apps in 2023?
No explanation saved for this question yet.
Set:
Over the top (OTT) subscribers of a platform are segregated into three
categories: i) Kid, ii) Elder, and iii) Others. Some of the subscribers used one app and the
others used multiple apps to access the platform. The figure below shows the percentage of
the total number of subscribers in 2023 and 2024 who belong to the 'Kid' and 'Elder'
categories.
The following additional facts are known about the numbers of
subscribers.1. The total number of subscribers increased by 10% from 2023 to 2024.
2.
In 2024, 1/2 of the subscribers from the 'Kid' category and 2/3 of the subscribers from the
'Elder' category subscribers use one app.
3. In 2023, the number of subscribers from
the 'Kid' category who used multiple apps was the same as the number of subscribers from the
'Elder' category who used one app.
4. 10,000 subscribers from the 'Kid' category used
one app and 15,000 subscribers from the 'Elder' category used multiple apps in 2023.
What was the percentage increase in the number of subscribers in the 'Elder' category
from 2023 to 2024?
No explanation saved for this question yet.
Set:
Over the top (OTT) subscribers of a platform are segregated into three
categories: i) Kid, ii) Elder, and iii) Others. Some of the subscribers used one app and the
others used multiple apps to access the platform. The figure below shows the percentage of
the total number of subscribers in 2023 and 2024 who belong to the 'Kid' and 'Elder'
categories.
The following additional facts are known about the numbers of
subscribers.1. The total number of subscribers increased by 10% from 2023 to 2024.
2.
In 2024, 1/2 of the subscribers from the 'Kid' category and 2/3 of the subscribers from the
'Elder' category subscribers use one app.
3. In 2023, the number of subscribers from
the 'Kid' category who used multiple apps was the same as the number of subscribers from the
'Elder' category who used one app.
4. 10,000 subscribers from the 'Kid' category used
one app and 15,000 subscribers from the 'Elder' category used multiple apps in 2023.
What could be the minimum percentage of subscribers who used multiple apps in 2024?
No explanation saved for this question yet.
Set:
The air-conditioner (AC) in a large room can be operated either in REGULAR mode
or in POWER mode to reduce the temperature.
If the AC operates in REGULAR mode,
then it brings down the temperature inside the room (called inside temperature) at a
constant rate to the set temperature in 1 hour. If it operates in POWER mode, then this is
achieved in 30 minutes.
If the AC is switched off, then the inside temperature
rises at a constant rate so as to reach the temperature outside at the time of switching off
in 1 hour.
The temperature outside has been falling at a constant rate from 7 pm
onward until 3 am on a particular night. The following graph shows the inside temperature
between 11 pm (23:00) and 2 am (2:00) that night.
The following facts are known about the AC operation that
night.
• The AC was turned on for the first time that night at 11 pm (23:00).
• The AC setting was changed (including turning it on/off, and/or setting different
temperatures) only at the beginning of the hour or at 30 minutes after the hour.
• The
AC was used in POWER mode for longer duration than in REGULAR mode during this 3-hour
period.
How many times the AC must have been turned off between 11:01 pm and 1:59 am?
No explanation saved for this question yet.
Set:
The air-conditioner (AC) in a large room can be operated either in REGULAR mode
or in POWER mode to reduce the temperature.
If the AC operates in REGULAR mode,
then it brings down the temperature inside the room (called inside temperature) at a
constant rate to the set temperature in 1 hour. If it operates in POWER mode, then this is
achieved in 30 minutes.
If the AC is switched off, then the inside temperature
rises at a constant rate so as to reach the temperature outside at the time of switching off
in 1 hour.
The temperature outside has been falling at a constant rate from 7 pm
onward until 3 am on a particular night. The following graph shows the inside temperature
between 11 pm (23:00) and 2 am (2:00) that night.
The following facts are known about the AC operation that
night.
• The AC was turned on for the first time that night at 11 pm (23:00).
• The AC setting was changed (including turning it on/off, and/or setting different
temperatures) only at the beginning of the hour or at 30 minutes after the hour.
• The
AC was used in POWER mode for longer duration than in REGULAR mode during this 3-hour
period.
What was the temperature outside, in degree Celsius, at 1 am?
✓ Accepted Answer:
34
No explanation saved for this question yet.
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Set:
The air-conditioner (AC) in a large room can be operated either in REGULAR mode
or in POWER mode to reduce the temperature.
If the AC operates in REGULAR mode,
then it brings down the temperature inside the room (called inside temperature) at a
constant rate to the set temperature in 1 hour. If it operates in POWER mode, then this is
achieved in 30 minutes.
If the AC is switched off, then the inside temperature
rises at a constant rate so as to reach the temperature outside at the time of switching off
in 1 hour.
The temperature outside has been falling at a constant rate from 7 pm
onward until 3 am on a particular night. The following graph shows the inside temperature
between 11 pm (23:00) and 2 am (2:00) that night.
The following facts are known about the AC operation that
night.
• The AC was turned on for the first time that night at 11 pm (23:00).
• The AC setting was changed (including turning it on/off, and/or setting different
temperatures) only at the beginning of the hour or at 30 minutes after the hour.
• The
AC was used in POWER mode for longer duration than in REGULAR mode during this 3-hour
period.
What was the temperature outside, in degree Celsius, at 9 pm?
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Set:
The air-conditioner (AC) in a large room can be operated either in REGULAR mode
or in POWER mode to reduce the temperature.
If the AC operates in REGULAR mode,
then it brings down the temperature inside the room (called inside temperature) at a
constant rate to the set temperature in 1 hour. If it operates in POWER mode, then this is
achieved in 30 minutes.
If the AC is switched off, then the inside temperature
rises at a constant rate so as to reach the temperature outside at the time of switching off
in 1 hour.
The temperature outside has been falling at a constant rate from 7 pm
onward until 3 am on a particular night. The following graph shows the inside temperature
between 11 pm (23:00) and 2 am (2:00) that night.
The following facts are known about the AC operation that
night.
• The AC was turned on for the first time that night at 11 pm (23:00).
• The AC setting was changed (including turning it on/off, and/or setting different
temperatures) only at the beginning of the hour or at 30 minutes after the hour.
• The
AC was used in POWER mode for longer duration than in REGULAR mode during this 3-hour
period.
What best can be concluded about the number of times the AC must have either been turned
on or the AC temperature setting been altered between 11:01 pm and 1:59 am?
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Set:
The air-conditioner (AC) in a large room can be operated either in REGULAR mode
or in POWER mode to reduce the temperature.
If the AC operates in REGULAR mode,
then it brings down the temperature inside the room (called inside temperature) at a
constant rate to the set temperature in 1 hour. If it operates in POWER mode, then this is
achieved in 30 minutes.
If the AC is switched off, then the inside temperature
rises at a constant rate so as to reach the temperature outside at the time of switching off
in 1 hour.
The temperature outside has been falling at a constant rate from 7 pm
onward until 3 am on a particular night. The following graph shows the inside temperature
between 11 pm (23:00) and 2 am (2:00) that night.
The following facts are known about the AC operation that
night.
• The AC was turned on for the first time that night at 11 pm (23:00).
• The AC setting was changed (including turning it on/off, and/or setting different
temperatures) only at the beginning of the hour or at 30 minutes after the hour.
• The
AC was used in POWER mode for longer duration than in REGULAR mode during this 3-hour
period.
What was the maximum difference between temperature outside and inside temperature, in
degree Celsius, between 11:01 pm and 1:59 am?
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Set:
Out of 10 countries -- Country 1 through Country 10 -- Country 9 has the
highest gross domestic product (GDP), and Country 10 has the highest GDP per capita. GDP per
capita is the GDP of a country divided by its population. The table below provides the
following data about Country 1 through Country 8 for the year 2024.
• Column 1
gives the country's identity.
• Column 2 gives the country's GDP as a fraction of the
GDP of Country 9.
• Column 3 gives the country's GDP per capita as a fraction of the
GDP per capita of Country 10.
• Column 4 gives the country's annual GDP growth
rate.
• Column 5 gives the country's annual population growth rate.
Assume that the GDP growth rates and population growth rates
of the countries will remain constant for the next three years.
Which one among the countries 1 through 8, has the smallest population in 2024?
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Set:
Out of 10 countries -- Country 1 through Country 10 -- Country 9 has the
highest gross domestic product (GDP), and Country 10 has the highest GDP per capita. GDP per
capita is the GDP of a country divided by its population. The table below provides the
following data about Country 1 through Country 8 for the year 2024.
• Column 1
gives the country's identity.
• Column 2 gives the country's GDP as a fraction of the
GDP of Country 9.
• Column 3 gives the country's GDP per capita as a fraction of the
GDP per capita of Country 10.
• Column 4 gives the country's annual GDP growth
rate.
• Column 5 gives the country's annual population growth rate.
Assume that the GDP growth rates and population growth rates
of the countries will remain constant for the next three years.
The ratio of Country 4's GDP to Country 5's GDP in 2026 will be closest to
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Set:
Out of 10 countries -- Country 1 through Country 10 -- Country 9 has the
highest gross domestic product (GDP), and Country 10 has the highest GDP per capita. GDP per
capita is the GDP of a country divided by its population. The table below provides the
following data about Country 1 through Country 8 for the year 2024.
• Column 1
gives the country's identity.
• Column 2 gives the country's GDP as a fraction of the
GDP of Country 9.
• Column 3 gives the country's GDP per capita as a fraction of the
GDP per capita of Country 10.
• Column 4 gives the country's annual GDP growth
rate.
• Column 5 gives the country's annual population growth rate.
Assume that the GDP growth rates and population growth rates
of the countries will remain constant for the next three years.
Which one among the countries 1, 4, 5, and 7 will have the largest population in 2027?
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Set:
Out of 10 countries -- Country 1 through Country 10 -- Country 9 has the
highest gross domestic product (GDP), and Country 10 has the highest GDP per capita. GDP per
capita is the GDP of a country divided by its population. The table below provides the
following data about Country 1 through Country 8 for the year 2024.
• Column 1
gives the country's identity.
• Column 2 gives the country's GDP as a fraction of the
GDP of Country 9.
• Column 3 gives the country's GDP per capita as a fraction of the
GDP per capita of Country 10.
• Column 4 gives the country's annual GDP growth
rate.
• Column 5 gives the country's annual population growth rate.
Assume that the GDP growth rates and population growth rates
of the countries will remain constant for the next three years.
For how many countries among Country 1 through Country 8 will the GDP per capita in 2027
be lower than that in 2024?
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Set:
The figure below shows a network with three parallel roads represented by
horizontal lines R-A, R-B, and R-C and another three parallel roads represented by vertical
lines V1, V2, and V3. The figure also shows the distance (in km) between two adjacent
intersections. Six ATMs are placed at six of the nine road intersections. Each ATM has a
distinct integer cash requirement (in Rs. Lakhs), and the numbers at the end of each line in
the figure indicate the total cash requirements of all ATMs placed on the corresponding
road. For example, the total cash requirement of the ATM(s) placed on road R-A is Rs. 22
Lakhs.
The following additional information is known.
1. The ATMs with the
minimum and maximum cash requirements of Rs. 7 Lakhs and Rs. 15 Lakhs are placed on the same
road.
2. The road distance between the ATM with the second highest cash requirement and
the ATM located at the intersection of R-C and V3 is 12 km.
Which of the following statements is correct?
a.
The ATM placed at the (R-C, V2) intersection has a cash requirement of Rs. 9
Lakhs.
b.
There is no ATM placed at the (R-C, V2) intersection.
c.
The ATM placed at the (R-C, V2) intersection has a cash requirement of Rs. 8
Lakhs.
d.
The cash requirement of the ATM placed at the (R-C, V2) intersection cannot
be uniquely determined.
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Set:
The figure below shows a network with three parallel roads represented by
horizontal lines R-A, R-B, and R-C and another three parallel roads represented by vertical
lines V1, V2, and V3. The figure also shows the distance (in km) between two adjacent
intersections. Six ATMs are placed at six of the nine road intersections. Each ATM has a
distinct integer cash requirement (in Rs. Lakhs), and the numbers at the end of each line in
the figure indicate the total cash requirements of all ATMs placed on the corresponding
road. For example, the total cash requirement of the ATM(s) placed on road R-A is Rs. 22
Lakhs.
The following additional information is known.
1. The ATMs with the
minimum and maximum cash requirements of Rs. 7 Lakhs and Rs. 15 Lakhs are placed on the same
road.
2. The road distance between the ATM with the second highest cash requirement and
the ATM located at the intersection of R-C and V3 is 12 km.
How many ATMs have cash requirements of Rs. 10 Lakhs or more?
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Set:
The figure below shows a network with three parallel roads represented by
horizontal lines R-A, R-B, and R-C and another three parallel roads represented by vertical
lines V1, V2, and V3. The figure also shows the distance (in km) between two adjacent
intersections. Six ATMs are placed at six of the nine road intersections. Each ATM has a
distinct integer cash requirement (in Rs. Lakhs), and the numbers at the end of each line in
the figure indicate the total cash requirements of all ATMs placed on the corresponding
road. For example, the total cash requirement of the ATM(s) placed on road R-A is Rs. 22
Lakhs.
The following additional information is known.
1. The ATMs with the
minimum and maximum cash requirements of Rs. 7 Lakhs and Rs. 15 Lakhs are placed on the same
road.
2. The road distance between the ATM with the second highest cash requirement and
the ATM located at the intersection of R-C and V3 is 12 km.
Which of the following two statements is/are DEFINITELY true?
A)Statement A:
Each of R-A, R-B, and R-C has two ATMs.
B)Statement B: Each of V1, V2, and V3 has
two ATMs.
a.
Both Statement A and Statement B
b.
Neither Statement A nor Statement B
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Set:
The figure below shows a network with three parallel roads represented by
horizontal lines R-A, R-B, and R-C and another three parallel roads represented by vertical
lines V1, V2, and V3. The figure also shows the distance (in km) between two adjacent
intersections. Six ATMs are placed at six of the nine road intersections. Each ATM has a
distinct integer cash requirement (in Rs. Lakhs), and the numbers at the end of each line in
the figure indicate the total cash requirements of all ATMs placed on the corresponding
road. For example, the total cash requirement of the ATM(s) placed on road R-A is Rs. 22
Lakhs.
The following additional information is known.
1. The ATMs with the
minimum and maximum cash requirements of Rs. 7 Lakhs and Rs. 15 Lakhs are placed on the same
road.
2. The road distance between the ATM with the second highest cash requirement and
the ATM located at the intersection of R-C and V3 is 12 km.
What best can be said about the road distance (in km) between the ATMs having the second
highest and the second lowest cash requirements?
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Set:
The figure below shows a network with three parallel roads represented by
horizontal lines R-A, R-B, and R-C and another three parallel roads represented by vertical
lines V1, V2, and V3. The figure also shows the distance (in km) between two adjacent
intersections. Six ATMs are placed at six of the nine road intersections. Each ATM has a
distinct integer cash requirement (in Rs. Lakhs), and the numbers at the end of each line in
the figure indicate the total cash requirements of all ATMs placed on the corresponding
road. For example, the total cash requirement of the ATM(s) placed on road R-A is Rs. 22
Lakhs.
The following additional information is known.
1. The ATMs with the
minimum and maximum cash requirements of Rs. 7 Lakhs and Rs. 15 Lakhs are placed on the same
road.
2. The road distance between the ATM with the second highest cash requirement and
the ATM located at the intersection of R-C and V3 is 12 km.
What is the number of ATMs whose locations and cash requirements can both be uniquely
determined?
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