# Mathematics Quiz for AFCAT and INET Exam: 24 Dec 2019

## Mathematics Quiz for AFCAT and INET Exam: 24 Dec 2019

Jai Hind Aspirants, Defence Adda is providing you all with this quiz on Mathematics questions for**CDS, AFCAT, CAPF and other Defence Examinations.**

1.Ram borrowed Rs. 725 from Shyam at the beginning of a year at interest. After 8 months, he again borrowedRs. 362.50 at a rate of interest double that the former sum bears. At the end of the year, the sum of interest on both loans is Rs. 43.50. Find the first rate of interest per annum?

1.Ram borrowed Rs. 725 from Shyam at the beginning of a year at interest. After 8 months, he again borrowedRs. 362.50 at a rate of interest double that the former sum bears. At the end of the year, the sum of interest on both loans is Rs. 43.50. Find the first rate of interest per annum?

(a)4.5%

(b)4.75%

(c)6.25%

(d)7.2%

**2.The cost price of goods with a bankrupt is Rs. 25500 and if the goods had realised in their full value, his creditiors would have received 85 paise in the rupee. But 2/5 of the goods were sold at 17% and the remainder at 22% below their cost price. How many paise in a rupee was received by the creditors?**

(a)72 paise

(b)68 paise

(c)55 paise

(d)52 paise

**3.A Shopkeeper undertakes to supply 2000 tables at Rs. 1725 each. He estimates that if 10% are defective which will be sold at 50%, then the profit will be 15% on his whole outlay. When the tables were supplied, 70% of the tables were found defective. What loss did the Shopkeeper incur?**

(a)Rs. 607500

(b)Rs. 557500

(c)Rs. 550500

(d)Rs. 80680

**4.Sweta invested Rs. 10,000 in a scheme exactly three years ago. The value of the investment increased by 10% during the first year, increased by 5% during the second year, and decreased by 10% during the third year. What is the value of the investment today?**

(a)Rs. 10,500

(b)Rs. 10,395

(c)Rs. 10,342

(d)Rs. 10,230

**5.In Mumbai, 60% of the registered voters are BJP-supporters and the rest are Congress-supporters. In a mayoral race, if 75% of the registered voters who are BJP-supporters and 20% of the registered voters who are Congress-supporters are expected to vote for candidate X, what percent of the registered voters are expected to vote for candidate X?**

(a)53%

(b)55%

(c)57%

(d)59%

**6.A pharmaceutical company received Rs. 3 million in royalties on the first Rs. 20 million in sales of the generic equivalent of one of its products and then Rs.9 million in royalties on the next Rs. 108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first Rs. 20 million in sales to the next Rs. 108 million in sales?**

(a)10.27%

(b)20.63%

(c)38.6%

(d)44.44%

**7.In Jamshedpur, 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 while 8% reads both the newspapers. 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 advertisement while 50% of those who read both the newspapers look into advertisements. What is the percentage of the population who read an advertisement?**

(a)13.9%

(b)15.8%

(c)17.2%

(d)21.4%

**8.In my office, at least 50% of the people read an e-newspaper. Among those who read an e-newspaper, at most 25% read more than one e-paper. Only one of the following statements follows from the statements given below. Which one is it?**

(a)At the most 37.5% read exactly one e-paper.

(b)At least 37.5% read exactly one e-paper.

(c)At the most 19.8% read exactly one e-paper.

(d)At least 19.8% read exactly one e-paper.

**9.In Convent Model School, 60% of the students are boys. In an aptitude test, 80% of the girls scored more than 40 marks (out of a maximum possible 150 marks). If 60% of the total students scored more than 40 marks in the same test, find the fraction of the boys who scored 40 marks or less?**

(a)3/5

(b)6/7

(c)5/7

(d)7/15

**10.In a recent opinion poll held during April, 60% of the respondents favoured India Against Corruption (IAC) while the rest favoured Indian political parties (IPP). It was found in May polls that 10% of IAC supporters switched their preference to IPP, while the same percentage of IPP’s supporters also switched their preference to IAC. What percentage of the electorate should now switch their preference from IAC to IPP so that they are at par?**

(a)14

(b)19%

(c)24%

(d)29%

**Solution:**

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