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Questions and Answers
What is the next number in the sequence: 1, 6, 27, 108, ____?
What is the next number in the sequence: 4, 10, 33, 136, _____?
What is the missing number in the series: 6, 11, 18, 27, ____?
Which letter comes next in the series: CMM, EOO, GQQ, _____, KUU?
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The missing number in the series 14, 25, 47, 91, 179, ____ is
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B2CD, _____, BCD4, B5CD, BC6D
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Match the following programming languages with their primary usage:
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If 50% of boys and 25% of girls are getting scholarships for their studies, what is the percentage of school students who are not getting any scholarships?
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In an ornament, the ratio of gold and copper is 3 : 2. What is the percentage of gold in the ornament?
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The ratio of ages of two students is 3 : 2. One is older to the other by 5 years. What is the age of the younger student?
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The ratio of present age of two brothers is 1 : 2. 5 years back, the ratio was 1 : 3. What will be the ratio of their age after 5 years?
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The sum of the age of a father and his son is 100 years now. 5 years ago their ages were in the ratio of 2 : 1. What will be the ratio of the age of father and son after 10 years?
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What would have been the percentage of profit or loss if the book was sold for Rs.25.75 instead of Rs.27.50?
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How much did Jacob spend on repairs if he made a profit of Rs.1100 with a 20% profit after spending 10% of the cost on repairs?
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What is the marked price of the product, given the provided statements?
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Is A an even number based on the provided statements?
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What is the approximate ratio of funds to be arranged through Toll and Market Borrowing?
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Which of the following options best represents the percentage of profit or loss for companies M and N together?
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What was the approximate percentage of profit/loss of all the five Companies taken together in 2001?
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Which company earned the maximum percentage profit in the year 2001?
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What was the sales percentage increase of lipsticks in 2000 compared to nail enamels in 2000?
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What is the approximate ratio of the sales of nail enamels in 2000 to the sales of Talcum powders in 1995?
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What percentage less were the sales of conditioners in 1995 compared to shampoos in 1995?
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Match the following programming languages with their primary usage:
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In which year did the company sell the highest percentage of its produced units?
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What is the total number of units sold by the company over the five years?
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What is the average number of units produced by the company per year over the five years?
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What is the ratio of the total population in the age group 21-30 to the combined total population of the age groups 51-60 and 71-80?
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If a company policy requires at least 40% of employees in any department to be under 40 years of age for initiating a specific training program, which of the following departments are eligible for the program?
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What is the average number of employees in the 41-50 years age group across all departments?
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If the company decides to lay off 10% of employees aged 51-60 years from each department, how many employees in this age group will remain in the company?
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Study Notes
Percentage Calculations
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Calculating percentage increase/decrease:
- If price increases from 200to200 to 200to250, the percentage increase is 25%
- If price decreases from 1500to1500 to 1500to1200, the percentage decrease is 20%
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Finding original number from percentage change:
- If a number increases by 15% to become 92, the original number was 80
- If a number decreases by 10% to become 45, the original number was 50
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Discount calculations:
- If a shirt had an original price of 500andisdiscountedby20500 and is discounted by 20%, the sale price is 500andisdiscountedby20400
- 20% of 550 is 110
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Proportional reasoning:
- In a class of 40 students, 30% are girls, so there are 28 boys
- A car depreciates by 20% per year, so its value after 1 year from 25,000is25,000 is 25,000is22,500
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Profit/loss percentage:
- If a cycle was purchased for 1600andsoldfor1600 and sold for 1600andsoldfor1400, the loss percentage is 12.5%
- If a cycle was purchased for 1400andsoldata151400 and sold at a 15% loss, the selling price is 1400andsoldata151190
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Comparing proportional quantities:
- If two numbers are 20% and 50% of a third number, the first is 40% of the secondHere are the study notes for the text:
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Numerical Ability*
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Various numerical problems are given, including profit/loss, percentage increase/decrease, and ratio-based problems.
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Questions involve calculation of profit/loss percentage, increase/decrease in values, and ratio calculations.
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Pie Chart Problems*
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A pie chart shows the sources of funds to be collected by the National Highways Authority of India (NHAI) for its Phase II projects.
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The chart is divided into four sections: SPVs, External Assistance, Annuity, and Market Borrowing.
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Questions involve calculation of percentage of funds from each source and the amount of funds to be arranged through each source.
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Another pie chart shows the subscriptions generated for India Bonds from different categories of investors.
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The chart is divided into four sections: Corporate Houses, FII's, NRI's, and Offshore Funds.
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Questions involve calculation of investment amounts and percentage of investment from each category.
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Circle Graph Problems*
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A circle graph shows the spendings of a country on various sports during a particular year.
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The graph is divided into five sections: Tennis, Hockey, Golf, Basketball, and Football.
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Questions involve calculation of percentage of spending on each sport and the amount of spending on each sport.
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Bar Graph Problems*
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A bar graph shows the income and expenditures of five companies in the year 2001.
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The graph is divided into five sections: M, N, P, Q, and R.
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Questions involve calculation of profit/loss percentage and the amount of profit/loss for each company.
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Another bar graph shows the sales of five different products of a cosmetic company during 1995 and 2000.
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The graph is divided into five sections: Lipsticks, Nail Enamels, Conditioners, Shampoos, and Talcum Powders.
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Questions involve calculation of sales amounts and percentage increase/decrease in sales from 1995 to 2000.
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A third bar graph shows the foreign exchange reserves of a country from 1991-1992 to 1998-1999.
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Questions involve calculation of average reserves and the ratio of years with above-average reserves to those with below-average reserves.### Foreign Exchange Reserves
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Average foreign exchange reserves over a given period = 3480 million US $
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Country had reserves above 3480 million US during3yearsandbelow3480millionUS during 3 years and below 3480 million US during3yearsandbelow3480millionUS during 5 years
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Required ratio = 3 : 5
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Foreign exchange reserves in 1997-98 were 1.5 times that in 1994-95
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Percentage increase in foreign exchange reserves in 1997-98 over 1993-94 = 100%
Classification of 100 Students Based on Marks Obtained in Physics and Chemistry
- Number of students passed with 30 as cut-off marks in Chemistry = 27
- Number of students passed with 30 as cut-off marks in aggregate = 21
- Difference between the number of students passed with 30 as cut-off marks in Chemistry and those passed with 30 as cut-off marks in aggregate = 6
- At least 60% marks in Physics are required for pursuing higher studies in Physics
- Number of students eligible to pursue higher studies in Physics = 32
- Minimum qualifying marks in Chemistry for eligibility to Symposium = 20-30
Results of Half Yearly and Annual Examinations
- Number of students passing an examination is considered a criteria for comparison of difficulty level of two examinations
- Both half-yearly and annual examinations had almost the same difficulty level
- Total number of students in Class IX in the school = 430
- Section D has the maximum pass percentage in at least one of the two examinations
Population Distribution of Five States
- Percentage distribution of population of five states, P, Q, R, S, and T on the basis of poverty line and sex
- Proportion of males and females below and above poverty line for each state
- If male population above poverty line for State R is 1.9 million, then the total population of State R is 6.25 million
- If population of State S is 7 million, then number of females above poverty line in State S is 2.43 million
Units Produced and Sold by a Company Over Five Years
- Number of units produced and sold by a company over five years from 2019 to 2023
- Total number of units sold by the company over the five years = 86,500
- Average number of units produced by the company per year over the five years = 18,000
Age Distribution of Population
- Age distribution of population in different age groups from 0-10 to 81-90 years
- Ratio of total population in the age group 21-30 to the combined total population of age groups 51-60 and 71-80 = 1.10
Age Distribution of Employees in a Company
- Age distribution of employees in different departments, HR, IT, Finance, Marketing, and Operations
- If a company policy requires at least 40% of employees in any department to be under 40 years of age for initiating a specific training program, then HR, IT, Marketing, and Operations departments are eligible for the program
- Average number of employees in the 41-50 years age group across all departments = 9
- If the company decides to lay off 10% of employees aged 51-60 years from each department, then 23 employees in this age group will remain in the company
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