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DILR || Mega Quiz - 3 - Weekly Revision || CAT 2021 || 4 April

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Question 1

Direction: Answer the questions based on the following information.

Mr Bankatlal acted as a judge for the beauty contest. There were four participants, viz. Ms Andhra Pradesh, Ms Uttar Pradesh, Ms West Bengal and Ms Maharashtra. Mrs Bankatlal, who was very anxious about the result, asked him about it as soon as he was back home. Mr Bankatlal just told that the one who was wearing the yellow saree won the contest. When Mrs Bankatlal pressed for further details, he elaborated as follows:

All of them were sitting in a row.

All of them wore sarees of different colours, viz. green, yellow, white, red.

There was only one runner-up and she was sitting beside Ms. Maharashtra.

The runner-up was wearing the green saree.

Ms West Bengal was not sitting at the ends and was not the runner up.

The winner and the runner-up are not sitting adjacent to each other.

Ms Maharashtra was wearing white saree.

Ms Andhra Pradesh was not wearing the green saree.

Participants wearing yellow saree and white saree were at the ends.
Who was the runner-up?

Question 2

Direction: Answer the questions based on the following information.

Mr Bankatlal acted as a judge for the beauty contest. There were four participants, viz. Ms Andhra Pradesh, Ms Uttar Pradesh, Ms West Bengal and Ms Maharashtra. Mrs Bankatlal, who was very anxious about the result, asked him about it as soon as he was back home. Mr Bankatlal just told that the one who was wearing the yellow saree won the contest. When Mrs Bankatlal pressed for further details, he elaborated as follows:

All of them were sitting in a row.

All of them wore sarees of different colours, viz. green, yellow, white, red.

There was only one runner-up and she was sitting beside Ms. Maharashtra.

The runner-up was wearing the green saree.

Ms West Bengal was not sitting at the ends and was not the runner up.

The winner and the runner-up are not sitting adjacent to each other.

Ms Maharashtra was wearing white saree.

Ms Andhra Pradesh was not wearing the green saree.

Participants wearing yellow saree and white saree were at the ends.
Which saree was worn by Ms Andhra Pradesh?

Question 3

Direction: Answer the questions based on the following information.

Mr Bankatlal acted as a judge for the beauty contest. There were four participants, viz. Ms Andhra Pradesh, Ms Uttar Pradesh, Ms West Bengal and Ms Maharashtra. Mrs Bankatlal, who was very anxious about the result, asked him about it as soon as he was back home. Mr Bankatlal just told that the one who was wearing the yellow saree won the contest. When Mrs Bankatlal pressed for further details, he elaborated as follows:

All of them were sitting in a row.

All of them wore sarees of different colours, viz. green, yellow, white, red.

There was only one runner-up and she was sitting beside Ms. Maharashtra.

The runner-up was wearing the green saree.

Ms West Bengal was not sitting at the ends and was not the runner up.

The winner and the runner-up are not sitting adjacent to each other.

Ms Maharashtra was wearing white saree.

Ms Andhra Pradesh was not wearing the green saree.

Participants wearing yellow saree and white saree were at the ends.
Ms. West Bengal was sitting adjacent to

Question 4

Direction: Answer the questions based on the following information.

Mr Bankatlal acted as a judge for the beauty contest. There were four participants, viz. Ms Andhra Pradesh, Ms Uttar Pradesh, Ms West Bengal and Ms Maharashtra. Mrs Bankatlal, who was very anxious about the result, asked him about it as soon as he was back home. Mr Bankatlal just told that the one who was wearing the yellow saree won the contest. When Mrs Bankatlal pressed for further details, he elaborated as follows:

All of them were sitting in a row.

All of them wore sarees of different colours, viz. green, yellow, white, red.

There was only one runner-up and she was sitting beside Ms. Maharashtra.

The runner-up was wearing the green saree.

Ms West Bengal was not sitting at the ends and was not the runner up.

The winner and the runner-up are not sitting adjacent to each other.

Ms Maharashtra was wearing white saree.

Ms Andhra Pradesh was not wearing the green saree.

Participants wearing yellow saree and white saree were at the ends.
Who wore the red saree?

Question 5

Directions: A cube is colored on all faces. It is cut into 64 smaller cubes of equal size. Now answer the questions given below.
How many cubes are coloured on three faces?

Question 6

Directions: A cube is colored on all faces. It is cut into 64 smaller cubes of equal size. Now answer the questions given below.
How many cubes are not coloured on any face?

Question 7

Directions: A cube is colored on all faces. It is cut into 64 smaller cubes of equal size. Now answer the questions given below.
How many cubes have two black opposite faces?

Question 8

Directions: 5 cities P, Q, R, S, T are connected by different modes of transports as follows –
â P and Q are connected by boat as well as by rail
â S and R are connected by bus and boat
â Q and T are connected only by air
â P and R are connected only by boat
â T and R are connected by rail and bus
Between two cities, among the pairs of cities given below, are maximum travel options available? (if there is more than one route possible between two cities, consider the one with lease number of cities enroute)

Question 9

Directions: 5 cities P, Q, R, S, T are connected by different modes of transports as follows –
â P and Q are connected by boat as well as by rail
â S and R are connected by bus and boat
â Q and T are connected only by air
â P and R are connected only by boat
â T and R are connected by rail and bus
If a person visits each of the places starting from P and gets back to P, which of the following places must he visit twice?

Question 10

Directions: 5 cities P, Q, R, S, T are connected by different modes of transports as follows –
â P and Q are connected by boat as well as by rail
â S and R are connected by bus and boat
â Q and T are connected only by air
â P and R are connected only by boat
â T and R are connected by rail and bus
Which mode of transport would help one to reach R starting from Q but without changing any mode of transport?

Question 11

Directions: 5 cities P, Q, R, S, T are connected by different modes of transports as follows –
â P and Q are connected by boat as well as by rail
â S and R are connected by bus and boat
â Q and T are connected only by air
â P and R are connected only by boat
â T and R are connected by rail and bus
Which of the following pair of cities are connected directly? (Without going to any other city)

Question 12

Direction

In a village in Ottoman Empire, only three items i.e., grains, cooking oil and pottery are traded and bronze coins are used as money. There is only one trader in the village who transacts these three items with the common people (i.e., buys from the common people and sells to the common people) by exchanging bronze coins. The base exchange rate of an item is the weight of the bronze coins (in kg), which are equivalent in value to one kg of the item being traded. The trader buys items at buying exchange rates that are lower than the base exchange rates, and sells the items at selling exchange rates that are higher than the base exchange rates.

The base exchange rates (in terms of kg of bronze coins) for per kg of grains, cooking oil and pottery are in the ratio 12 : 50 : 45. The trader would offer 10% less weight of bronze coins than the base exchange rate for buying any of the three items from the common people. Further, the trader would charge 20% more weight of bronze coins than the base exchange rate for selling any of the three items to the common people. The trader had enough bronze coins and the three types of items for the exchange on any day.

The following points are known about the exchange of items on a particular day.

1) At the time of opening of the market in the morning, the trader had 90,000 kg grains, 50,000 kg cooking oil and 6,000 kg pottery.

2) At the time of closing of the market in the evening, the trader had 75,000 kg grains, 55,000 kg cooking oil and 6,000 kg pottery.

3) The weight of the bronze coins paid by the trader to buy cooking oil was same as the weight of the bronze coins received by the trader by selling cooking oil on that day.

4) The weight of the bronze coins paid by the trader to buy grains and that paid by him to buy pottery was in the ratio 7 : 6.

5) The weight of the bronze coins received by the trader by selling grains and that by selling pottery was in the ratio 2 : 1.

6) The weight of the bronze coins received by the trader by selling grains was 43,200 Kg.

Find the weight of the bronze coins received by the trader by selling cooking oil on that day.

Question 13

Direction

In a village in Ottoman Empire, only three items i.e., grains, cooking oil and pottery are traded and bronze coins are used as money. There is only one trader in the village who transacts these three items with the common people (i.e., buys from the common people and sells to the common people) by exchanging bronze coins. The base exchange rate of an item is the weight of the bronze coins (in kg), which are equivalent in value to one kg of the item being traded. The trader buys items at buying exchange rates that are lower than the base exchange rates, and sells the items at selling exchange rates that are higher than the base exchange rates.

The base exchange rates (in terms of kg of bronze coins) for per kg of grains, cooking oil and pottery are in the ratio 12 : 50 : 45. The trader would offer 10% less weight of bronze coins than the base exchange rate for buying any of the three items from the common people. Further, the trader would charge 20% more weight of bronze coins than the base exchange rate for selling any of the three items to the common people. The trader had enough bronze coins and the three types of items for the exchange on any day.

The following points are known about the exchange of items on a particular day.

1) At the time of opening of the market in the morning, the trader had 90,000 kg grains, 50,000 kg cooking oil and 6,000 kg pottery.

2) At the time of closing of the market in the evening, the trader had 75,000 kg grains, 55,000 kg cooking oil and 6,000 kg pottery.

3) The weight of the bronze coins paid by the trader to buy cooking oil was same as the weight of the bronze coins received by the trader by selling cooking oil on that day.

4) The weight of the bronze coins paid by the trader to buy grains and that paid by him to buy pottery was in the ratio 7 : 6.

5) The weight of the bronze coins received by the trader by selling grains and that by selling pottery was in the ratio 2 : 1.

6) The weight of the bronze coins received by the trader by selling grains was 43,200 Kg.

What was the base rate of exchange (in kg) of bronze coins for one kg of grains?

Question 14

Direction

In a village in Ottoman Empire, only three items i.e., grains, cooking oil and pottery are traded and bronze coins are used as money. There is only one trader in the village who transacts these three items with the common people (i.e., buys from the common people and sells to the common people) by exchanging bronze coins. The base exchange rate of an item is the weight of the bronze coins (in kg), which are equivalent in value to one kg of the item being traded. The trader buys items at buying exchange rates that are lower than the base exchange rates, and sells the items at selling exchange rates that are higher than the base exchange rates.

The base exchange rates (in terms of kg of bronze coins) for per kg of grains, cooking oil and pottery are in the ratio 12 : 50 : 45. The trader would offer 10% less weight of bronze coins than the base exchange rate for buying any of the three items from the common people. Further, the trader would charge 20% more weight of bronze coins than the base exchange rate for selling any of the three items to the common people. The trader had enough bronze coins and the three types of items for the exchange on any day.

The following points are known about the exchange of items on a particular day.

1) At the time of opening of the market in the morning, the trader had 90,000 kg grains, 50,000 kg cooking oil and 6,000 kg pottery.

2) At the time of closing of the market in the evening, the trader had 75,000 kg grains, 55,000 kg cooking oil and 6,000 kg pottery.

3) The weight of the bronze coins paid by the trader to buy cooking oil was same as the weight of the bronze coins received by the trader by selling cooking oil on that day.

4) The weight of the bronze coins paid by the trader to buy grains and that paid by him to buy pottery was in the ratio 7 : 6.

5) The weight of the bronze coins received by the trader by selling grains and that by selling pottery was in the ratio 2 : 1.

6) The weight of the bronze coins received by the trader by selling grains was 43,200 Kg.

How many kilograms of pottery was sold by the trader to the common people on that day?

Question 15

Direction

In a village in Ottoman Empire, only three items i.e., grains, cooking oil and pottery are traded and bronze coins are used as money. There is only one trader in the village who transacts these three items with the common people (i.e., buys from the common people and sells to the common people) by exchanging bronze coins. The base exchange rate of an item is the weight of the bronze coins (in kg), which are equivalent in value to one kg of the item being traded. The trader buys items at buying exchange rates that are lower than the base exchange rates, and sells the items at selling exchange rates that are higher than the base exchange rates.

The base exchange rates (in terms of kg of bronze coins) for per kg of grains, cooking oil and pottery are in the ratio 12 : 50 : 45. The trader would offer 10% less weight of bronze coins than the base exchange rate for buying any of the three items from the common people. Further, the trader would charge 20% more weight of bronze coins than the base exchange rate for selling any of the three items to the common people. The trader had enough bronze coins and the three types of items for the exchange on any day.

The following points are known about the exchange of items on a particular day.

1) At the time of opening of the market in the morning, the trader had 90,000 kg grains, 50,000 kg cooking oil and 6,000 kg pottery.

2) At the time of closing of the market in the evening, the trader had 75,000 kg grains, 55,000 kg cooking oil and 6,000 kg pottery.

3) The weight of the bronze coins paid by the trader to buy cooking oil was same as the weight of the bronze coins received by the trader by selling cooking oil on that day.

4) The weight of the bronze coins paid by the trader to buy grains and that paid by him to buy pottery was in the ratio 7 : 6.

5) The weight of the bronze coins received by the trader by selling grains and that by selling pottery was in the ratio 2 : 1.

6) The weight of the bronze coins received by the trader by selling grains was 43,200 Kg.

How many kilograms of cooking oil was bought by the trader from the common people on that day?
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