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ECGC PO Superb 30 Quiz: Quantitative Aptitude

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Question 1

Direction: Study the following caselet carefully and answer the questions given below:

In a small city, there are 1200 viewers of three English Channels – Sony Pix, Fashion TV and AXN. The number of male viewers and the number of female viewers are in the ratio of 7 : 5. Each viewer follows at least one of these English Channels. 10% of male viewers follow Sony Pix only, 20% follow Fashion TV only and 12% follow AXN only. 10% follow only Sony Pix and AXN. 18% follow only AXN and Fashion TV and 20% follow only Sony Pix and Fashion TV. The remaining male viewers follow all the English Channels. 18% of female viewers follow Sony Pix only. 10% follow only Fashion TV only and 12% follow AXN only. 20% follow only Sony Pix and AXN, 12% follow only AXN and Fashion TV and 8% follow only Sony Pix and Fashion TV. The remaining female viewers follow all three English Channels.

What is the ratio of the number of male viewers who follow Fashion TV to the number of female viewers who follow Sony Pix?

Question 2

Direction: Study the following caselet carefully and answer the questions given below:

In a small city, there are 1200 viewers of three English Channels – Sony Pix, Fashion TV and AXN. The number of male viewers and the number of female viewers are in the ratio of 7 : 5. Each viewer follows at least one of these English Channels. 10% of male viewers follow Sony Pix only, 20% follow Fashion TV only and 12% follow AXN only. 10% follow only Sony Pix and AXN. 18% follow only AXN and Fashion TV and 20% follow only Sony Pix and Fashion TV. The remaining male viewers follow all the English Channels. 18% of female viewers follow Sony Pix only. 10% follow only Fashion TV only and 12% follow AXN only. 20% follow only Sony Pix and AXN, 12% follow only AXN and Fashion TV and 8% follow only Sony Pix and Fashion TV. The remaining female viewers follow all three English Channels.

The number of female viewers following AXN only is approximately what per cent less than the number of male viewers following Sony Pix only?

Question 3

Direction: Study the following caselet carefully and answer the questions given below:

In a small city, there are 1200 viewers of three English Channels – Sony Pix, Fashion TV and AXN. The number of male viewers and the number of female viewers are in the ratio of 7 : 5. Each viewer follows at least one of these English Channels. 10% of male viewers follow Sony Pix only, 20% follow Fashion TV only and 12% follow AXN only. 10% follow only Sony Pix and AXN. 18% follow only AXN and Fashion TV and 20% follow only Sony Pix and Fashion TV. The remaining male viewers follow all the English Channels. 18% of female viewers follow Sony Pix only. 10% follow only Fashion TV only and 12% follow AXN only. 20% follow only Sony Pix and AXN, 12% follow only AXN and Fashion TV and 8% follow only Sony Pix and Fashion TV. The remaining female viewers follow all three English Channels.

The number of male viewers following only Fashion TV is what percent of the sum of the number of female viewers who follow only AXN and the number of female viewers who follow only Sony Pix?

Question 4

Direction: Study the following caselet carefully and answer the questions given below:

In a small city, there are 1200 viewers of three English Channels – Sony Pix, Fashion TV and AXN. The number of male viewers and the number of female viewers are in the ratio of 7 : 5. Each viewer follows at least one of these English Channels. 10% of male viewers follow Sony Pix only, 20% follow Fashion TV only and 12% follow AXN only. 10% follow only Sony Pix and AXN. 18% follow only AXN and Fashion TV and 20% follow only Sony Pix and Fashion TV. The remaining male viewers follow all the English Channels. 18% of female viewers follow Sony Pix only. 10% follow only Fashion TV only and 12% follow AXN only. 20% follow only Sony Pix and AXN, 12% follow only AXN and Fashion TV and 8% follow only Sony Pix and Fashion TV. The remaining female viewers follow all three English Channels.

The total number of male viewers following less than two English Channels is what percent of the total number of female viewers following more than one Channel?

Question 5

Direction: Study the following caselet carefully and answer the questions given below:

In a small city, there are 1200 viewers of three English Channels – Sony Pix, Fashion TV and AXN. The number of male viewers and the number of female viewers are in the ratio of 7 : 5. Each viewer follows at least one of these English Channels. 10% of male viewers follow Sony Pix only, 20% follow Fashion TV only and 12% follow AXN only. 10% follow only Sony Pix and AXN. 18% follow only AXN and Fashion TV and 20% follow only Sony Pix and Fashion TV. The remaining male viewers follow all the English Channels. 18% of female viewers follow Sony Pix only. 10% follow only Fashion TV only and 12% follow AXN only. 20% follow only Sony Pix and AXN, 12% follow only AXN and Fashion TV and 8% follow only Sony Pix and Fashion TV. The remaining female viewers follow all three English Channels.

What is the ratio of the total number of female viewers who follow all the English Channels to the total number of male viewers who follow all three English Channels?

Question 6

Direction: Study the following pie chart and table carefully and answer the following questions:

Pie-Chart shows here time taken by different pipe to fill the tank:

The table shows time taken by different outlet pipes to empty the tank:

If pipes C and D were opened together to fill a tank but accidentally pipe I was also opened with pipes C and D then find the time taken to fill the empty tank?

Question 7

Direction: Study the following pie chart and table carefully and answer the following questions:

Pie-Chart shows here time taken by different pipe to fill the tank:

The table shows time taken by different outlet pipes to empty the tank:

If pipes J and K were used to drain water from the tank (completely filled) but were not opened properly , so the pipes allowed 50% and 66 % part of water respectively, how long will they take to empty the tank?

Question 8

Direction: Study the following pie chart and table carefully and answer the following questions:

Pie-Chart shows here time taken by different pipe to fill the tank:

The table shows time taken by different outlet pipes to empty the tank:

The pipes B and E filled the empty tank of capacity 150 liters in 3.75 hrs then find how many liters of water pipe D fills in 1 hr.?

Question 9

Direction: Study the following pie chart and table carefully and answer the following questions:

Pie-Chart shows here time taken by different pipe to fill the tank:

The table shows time taken by different outlet pipes to empty the tank:

Pipe B and F were opened simultaneously to fill an empty tank. After sometimes F was closed then Pipe B took 2 hrs. to fill the rest tank. For how much time was the Pipe B and F opened together?

Question 10

Direction: Study the following pie chart and table carefully and answer the following questions:

Pie-Chart shows here time taken by different pipe to fill the tank:

The table shows time taken by different outlet pipes to empty the tank:

Pipe C and E were opened to fill the empty tank. When the tank was 50% filled, Pipe A was also Opened. Find the total time taken to fill the tank ?

Question 11

Abhay and Rajan together invested an amount of 15500 in two different schemes A and B at the simple interest rate of 20% p.a. and 10% p.a. respectively. The total amount of simple interest earned in three years is Rs.7650. If Abhay invested 63% of Rajan, then find the ratio of Abhay’s investment to the amount for scheme A.

Question 12

Ram borrowed Rs. x from Shyam at the rate of 13% simple interest and Rs. 2x from Mohan at the rate of 26 % simple interest he then added Rs. 82500 with the total amount he borrowed from Shyam and Mohan together and lend it to Sohan at the rate of 10% simple interest. The total profit, he received at the end of one year in this process was Rs. 1725. Find the value of x?

Question 13

A shopkeeper defrauds both the whole seller and the customer by measuring weights incorrectly. When he is purchasing items from the whole seller, he takes 25% more than the indicated weight and when he is selling items to the customer, he gives 20% less than the indicated weight. If the price that the shopkeeper charges his customer is the same as what the whole seller charges the shopkeeper, then what profit percentage does the shopkeeper earn?

Question 14

There were 11 students in a hostel. If the number of students increased by 4, the expenses of the mess increased by Rs. 45 per day while the average expenditure per head diminished by Rs. 13. Find the original expenditure of the mess.

Question 15

A and B started a business in partnership investing Rs. 10,000 and Rs. 7,500 respectively. After 3 months, C joined them with Rs. 10,000. What will be B’s share in the total profit of Rs 12,000 earned at the end of 1 year from the starting of the business?

Question 16

Direction: In each of the following questions, a question is followed by two statements numbered 1 and 2. Read both the statements and answer accordingly.
A certain jewelry store sells gold necklaces in 18-inch and 28-inch lengths, and all necklaces of the same length sell for the same price per necklace regardless of the number of necklaces purchased. What is the price of a 28-inch necklace at this jewelry store?
(1) The total price of an 18-inch and a 28-inch gold necklace is $68.
(2) The total price of two 18-inch necklaces and one 28-inch necklace is $96.

Question 17

Direction: In each of the following questions, a question is followed by two statements numbered 1 and 2. Read both the statements and answer accordingly.
Julie runs a small art museum. How many paintings does her museum have?
(1) Her next acquisition of 4 Monet paintings will increase the number of paintings in the museum’s collection by 10%.
(2) The museum currently exhibits 3 impressionist paintings for every 2 non-impressionist paintings.

Question 18

Direction: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.
Quantity I: Speed of the train A. if the length of train and a platform are 132m and 183 m respectively and train takes 9 second to cross the platform.
Quantity II:Speed of train B. if it travels 300 km in 3 hr 30 min.

Question 19

Direction: Find the correct relationship between the given quantities:
Speed of a boat in still water is 12 km/hr. Speed of stream 4 km/hr
Quantity I: time taken by boat to go 28 km in still water.
Quantity II: time taken by boat to go downstream 32 km.

Question 20

Direction: Find the correct relationship between the given quantities:
A solution contains water and ethanol in the ratio 5 : 1 initially and 60 ml of pure water is added to the solution.

Quantity I: 5 times the volume of ethanol in the final solution.

Quantity II: Volume of water in the final solution.
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Feb 12PO, Clerk, SO, Insurance