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The population of towns A and B is in the ratio of 1: 4. For the next 2 years, the population of A would increase and that of B would decrease by the same percentage every year. After 2 years, their population became equal. What is the percentage change in the population?

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Important Questions on Arithmetic

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IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 45
In a laboratory, equal number of rats were injected with solution A and solution B. In a week, 55% of rats injected with solution A got infected with a disease and of that, equal number of rats were treated with vaccine C and D. Now, percentage of rats treated with vaccine C that recovered was 70% and that with vaccine D was 50%, whereas others died. Calculate the number of rats on whom the experiment was carried out in the laboratory, if the number of rats that died even after being treated with vaccines due to the disease is 77 .
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 4
Some people form a joint account for one year with a condition that "each person will deposit an amount equal to the number of people in the account that month". Moreover, the person who withdraws from the account in between will get their amount at the end of the year. After 6 months, 25% of the people withdrew, and 33.33% of the remaining withdrew after 3 months. At the end of the year, there was an amount of ₹ 4860 in their account before paying off the withdrawn amounts. Find the number of people in the beginning of the year.
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 10
Consider a big cube formed of 64 smaller cubes of which 40 are coloured. The smaller cubes are arranged such that the exposure of the coloured cubes to the outside is minimized. What is the percentage of the exposed area that is coloured?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 11
On May 1, 2002, a person sold all his investments for ₹ 108,000, incurring a loss of 10% with respect to the previous month. On April 1, 2002, he had invested all his money in shares, which represented a 20% increase over the sum he had on March 1,2002 , which represented a 20% decrease over the money he had on February 1, 2002, which represented a 25% increase over the money he had on January 1,2002 . The person had maximum money in:
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 14
The owner of a flower shop follows a particular pattern for his business. During a period of inflation, he raises his price by P%, and during a slowdown, he decreases his existing prices by P%. After a year in which there was inflation first, followed by a slowdown, the cost of a red-rose bouquet decreases by ₹ 162. After another year, in which there was inflation once more followed by a slowdown, the cost of this bouquet reduced by a further ₹ 147.42. What was the original price of the red-rose bouquet?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 19
In Ranchi, only two newspapers Dainik Jagran and Prabhat Khabar are published. It is known that 25% of the city population reads Dainik Jagran and 20% reads Prabhat Khabar, whereas 8% reads both Dainik Jagran and Prabhat Khabar. It is also known that 30% of those who read Dainik Jagran but not Prabhat Khabar look into advertisement and 40% of those who read Prabhat Khabar but not Dainik Jagran look into advertisements, whereas 50% of those who read both Dainik Jagran and Prabhat Khabar look into advertisements. What is the percentage of the population who read an advertisement?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 23
In D-segment car market, only three competitors (Honda, Toyota, and Hyundai) exist. Last year, the sales of Toyota were 10% more than Honda. In a year, both the firms Honda and Toyota increased their respective sales by 20%. This year, the sales of Toyota are five times that of Hyundai. How much were the sales of the firm Hyundai last year, if the total sales remained constant over the two years period?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 24
Chintu is given a quadratic equation ax2+bx+c=0 and is asked to make another quadratic equation from this with a=1. In addition, one root of the second quadratic equation is same as one of the roots of the first equation but opposite in sign and the other root of the second equation is two times the second root of the first equation. Find the percentage change in the constant term of the second equation as compared to the first equation?