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Weekly Revision Quant Quiz II IPM Indore 2022 II 15.08.2021

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Question 1

A and B are two workers. Working together they can complete the work in 20 hours. If A worked for 5 hours and B worked for 17 hours, only half of the work was done. In how many hours can A working alone can finish the work.

Question 2

The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days then in how many days can 12 men, 12 women and 12 boys together finish the same work working 8 hours per day?

Question 3

The ratio of work done by 30 women and 20 men in the same time is 5:6. If 9 women and 6 men can complete the piece of work in 10 days, then find how many women will be required to complete the work in 3 days?

Question 4

Alok can do a piece of work in 18 days and Mohan can do the same work in 24 days. Alok started the work and after 10 days Mohan joined with Alok. In how many days the work will be completed?

Question 5

The ratio of time taken by A, B and C to complete a work alone are 3 : 4 : 2. B and C together can do the same work in 8 days. In how many days A alone can do the same work?

Question 6

Three pipes A, B and C together can fill a tank in 6 hours. After working together for 2 hours, C is closed and A and B fill the remaining part of the tank in 8 hours. In how much time (in hours) tank can be completely filled by pipe C alone?

Question 7

P and Q are two taps which can fill a tank individually in 5 minutes and 10 minutes respectively. However, there is a leakage at the bottom which can empty a filled tank in 15 minutes. If the tank is empty initially, how much time will both the taps take to fill the tank (leakage is still there)?

Question 8

Three pipes A, B and C can fill a tank in 27 hours. After working for 3 hours together C is closed. A and B can now fill the tank in 9 hours more than A, B and C together. In how much time C alone can fill the tank?

Question 9

A pipe ‘P’ can fill a tank in 12 minutes and another pipe ‘Q’ can fill it in 16 minutes. But the third pipe ‘R’ can empty it in 6 minutes. The first two pipes P and Q are kept open for 4 minutes in the beginning and then third pipe R is also opened. How long will take to empty the tank?

Question 10

Pipe A and B can fill a tank in 12 hours and 15 hours respectively while pipe C can empty the 50% of the tank in 9 hours. If pipe A is opened at 7 am, pipe B at 8:30 am and pipe C at 10 am, then after 10 am how much more time will be taken by all the three pipes together to fill the tank?

Question 11

The entrance ticket for the cinepolis in Inorbit mall is Rs. 250. When the price of the ticket was lowered, the sale of tickets increased by 50% while the collections recorded a decrease of 17.5%. Find the deduction in the ticket price.

Question 12

Population of a town B in the year 2003 is 2600. Population of town B increases by 10% in the year 2003-04 and by certain percentage in the year 2004-05. If  population of a town B in the year 2005 is 3289, then find the percentage increase in population.

Question 13

Akash invested 20% more than Arun. Arun invested 10% less than Akshay. If the total sum of their investment is Rs. 35760 how much amount did Akashy invest?

Question 14

In a zoo in December 2017, out of 500 birds, 60% are black and the remaining are white. In January 2018, 60 black birds came in the zoo and 20% of white birds migrated. In June 2018, 80 black birds migrated. How many white birds should come in zoo after June 2018 so that the percentage of white birds become 60%?

Question 15

Sahil spends 10% of his monthly income on food, 20% of remaining amount on transportation & insurance, 5% of remaining amount on cloths, 25% of the remaining amount on medicine & education and saves the remaining amount. What percentage of monthly income is saved by Sahil?

Question 16

There are 105 workers (men and women) and an amount Rs. 270 is to be divided among them.The ratio of total amount received to men and women is 2 : 1 and the ratio of amount given to each man and each woman is 3 : 2. Find the number of men.

Question 17

A total amount of Rs. 17.90 is in the form of 10 paise and 25 paise coin. The total number of coins is 110.Find the number of 10 paise coins.

Question 18

The total number of students of a school was 1320. The ratio between the number of boys and that of girls was 13 : 9. After some days, 30 new girls joined the school and some boys left the school, then the new ratio between the number of boys and that of girls became 6 : 5. The number of boys who left the school is

Question 19

TCS and CTS quote for a tender. On the tender opening day, TCS realizes that their quotations are in the ratio 7: 4 and hence it decreases its price during negotiations to make it Rs. 1 Lakh lower than CTS's quoted price. CTS realizes that the final quotes of the two were in the ratio of 3:4. What was the price at which TCS bid?

Question 20

The cost of a product is composed of two materials- Raw & Pure- used in making it. The cost of the product, originally, is 3 times the value of the raw materials used in it. If the cost of raw materials increased in the ratio of 3 : 7 and that of Pure material increased in the ratio of 4 : 9, then find the present cost of the material. The original cost of the product was Rs. 1800.
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