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The sum of a father and son's ages is 52. In four years, the father's age will be four times the son's age. What is the son's current age?
The sum of a father and son's ages is 52. In four years, the father's age will be four times the son's age. What is the son's current age?
- 9 years
- 8 years (correct)
- 12 years
- 10 years
Two pipes can fill a tank separately in 36 minutes and 45 minutes respectively, and a drain pipe can remove 40 liters of water per minute. If all three pipes are opened, the tank fills in one hour. What is the tank's capacity?
Two pipes can fill a tank separately in 36 minutes and 45 minutes respectively, and a drain pipe can remove 40 liters of water per minute. If all three pipes are opened, the tank fills in one hour. What is the tank's capacity?
- 1200 liters (correct)
- 600 liters
- 300 liters
- 400 liters
In a factory of 100 workers, the average monthly salary is Rs. 4,500. If the median salary is Rs. 4,900, what is the mode salary?
In a factory of 100 workers, the average monthly salary is Rs. 4,500. If the median salary is Rs. 4,900, what is the mode salary?
- Rs. 5,600
- Rs. 5,500 (correct)
- Rs. 5,800
- Rs. 5,700
A hollow cube made of paper has a volume of 512 cubic units. How much paper (in square units) is required to make the cube?
A hollow cube made of paper has a volume of 512 cubic units. How much paper (in square units) is required to make the cube?
A rectangular box measures 1.6 m in length, 90 cm in width, and 60 cm in height. How many soap cakes, each measuring 6cm x 5cm x 40 mm, can be packed into the box with no empty space?
A rectangular box measures 1.6 m in length, 90 cm in width, and 60 cm in height. How many soap cakes, each measuring 6cm x 5cm x 40 mm, can be packed into the box with no empty space?
Ten years ago, a father's age was three times his son's age. After ten years, the father's age will be twice the son's age. What is the ratio of their present ages?
Ten years ago, a father's age was three times his son's age. After ten years, the father's age will be twice the son's age. What is the ratio of their present ages?
The runs scored by 11 players in a cricket match are: 7, 16, 121, 51, 101, 81, 1, 16, 9, 11, 16. What is the median of the data set?
The runs scored by 11 players in a cricket match are: 7, 16, 121, 51, 101, 81, 1, 16, 9, 11, 16. What is the median of the data set?
In how many years will Rs. 2,500 invested at 16% simple interest become Rs. 4,100?
In how many years will Rs. 2,500 invested at 16% simple interest become Rs. 4,100?
A sum of Rs. 7,786 is divided among A, B, and C such that the ratio of A's share to B's share is 3:4 and the ratio of B's share to C's share is 12:13. How much does B receive?
A sum of Rs. 7,786 is divided among A, B, and C such that the ratio of A's share to B's share is 3:4 and the ratio of B's share to C's share is 12:13. How much does B receive?
In triangle XYZ, XY = 5cm, XZ = 7cm, and Q is a point on YZ such that XQ bisects angle X. Find the ratio of YQ:QZ.
In triangle XYZ, XY = 5cm, XZ = 7cm, and Q is a point on YZ such that XQ bisects angle X. Find the ratio of YQ:QZ.
What is the average of all prime numbers between 69 and 92?
What is the average of all prime numbers between 69 and 92?
In an election, a candidate who gets 90% of the votes wins by a margin of 800 votes. What is the total number of votes cast, assuming only two candidates and all votes are valid?
In an election, a candidate who gets 90% of the votes wins by a margin of 800 votes. What is the total number of votes cast, assuming only two candidates and all votes are valid?
Find the value of $\sqrt{625/100} + \sqrt{625/10000} + \sqrt{625/1000000}$
Find the value of $\sqrt{625/100} + \sqrt{625/10000} + \sqrt{625/1000000}$
If the interest rate is 2.5% per annum for the first year and 2% per annum for the second year, what is the compound interest on Rs. 6,000 over two years?
If the interest rate is 2.5% per annum for the first year and 2% per annum for the second year, what is the compound interest on Rs. 6,000 over two years?
Sudarshan and Abraham apply for two vacancies. Sudarshan's probability of selection is 1/3, and Abraham's is 1/5. What is the probability that neither is selected?
Sudarshan and Abraham apply for two vacancies. Sudarshan's probability of selection is 1/3, and Abraham's is 1/5. What is the probability that neither is selected?
Find the value of $(\sqrt[3]{343})^{-1} \times (\sqrt[3]{216})^{-3}$.
Find the value of $(\sqrt[3]{343})^{-1} \times (\sqrt[3]{216})^{-3}$.
A sells a watch to B at a 33 \frac{1}{3}% profit, and B sells it to C at a 20% loss. If C paid Rs. 532, what was A's purchase price?
A sells a watch to B at a 33 \frac{1}{3}% profit, and B sells it to C at a 20% loss. If C paid Rs. 532, what was A's purchase price?
Richa's expenditures and savings are in the ratio of 2:1. If her income and expenditure increase by 20% and 15%, respectively, by what percentage does her savings increase?
Richa's expenditures and savings are in the ratio of 2:1. If her income and expenditure increase by 20% and 15%, respectively, by what percentage does her savings increase?
Flashcards
Tank Filling Problem
Tank Filling Problem
Two pipes fill a tank in 36 and 45 minutes, respectively. A drain removes 40 liters/minute. All pipes open, the tank fills in one hour. Find the tank's capacity.
Mode Salary
Mode Salary
The distribution of 100 workers employed shows an average salary of Rs. 4,500. If the median salary is Rs.4,900, find the mode salary.
Hollow Cube Paper
Hollow Cube Paper
The hollow cube has a volume of 512 cubic units. The question ask how much paper in square units will be required to make the cube?
Packing Cakes
Packing Cakes
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Age ratio
Age ratio
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Median Calculation
Median Calculation
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Simple interest years
Simple interest years
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Ratio Calculation
Ratio Calculation
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Angle bisector theorem
Angle bisector theorem
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Average Prime Numbers
Average Prime Numbers
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Election Votes
Election Votes
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Compound interest
Compound interest
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Expenditures ratio
Expenditures ratio
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Faulty Stocks Problem
Faulty Stocks Problem
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Average of multiples
Average of multiples
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Discounts
Discounts
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Parallel lines and transversal
Parallel lines and transversal
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Triangle Angle Ratios
Triangle Angle Ratios
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Study Notes
- These notes cover math problems from the SSC CHSL 2023 Mains exam held on January 10, 2024.
Age Problems
- The sum of a son and fathers age is 52 years. After 4 years, the fathers age would be 4 times the sons age, the sons current age is 9 years.
- 10 years prior, a fathers age was 3 times his sons age. 10 years from now, the fathers age will be twice the sons age. The ratio of their current age is 7:3.
Pipes and Cisterns
- Two pipes fill a tank in 36 and 45 minutes respectively. A drain removes 40 liters/minute, with all pipes, the tank fills in 1 hour. The tanks is 1200 liters.
Statistics
- For 100 workers, the average salary is Rs. 4,500, the median is Rs. 4,900, and the mode salary is Rs. 5,700.
- Runs scored by 11 players in a cricket match: 7, 16, 121, 51, 101, 81, 1, 16, 9, 11, 16. The median of the data is 16.
Geometry and Mensuration
- A hollow cube made of paper with a volume of 512 cubic units needs 384 square units of paper.
- A rectangular box measures 1.6 m in length, 90 cm in width, and 60 cm in height. It can be packed using 6cm x 5cm x 40 mm soap cakes using 7200 cakes.
- A right prism with an equilateral triangle base of sides 4 cm has a lateral surface area of 120 cm². The prisms volume is 40√3 cm³.
Simple and Compound Interest
- Rs. 2,500 invested at 16% simple interest becomes Rs. 4,100 in 4 years.
- With an interest rate of 2.5% for the first year and 2% for the second year, the compound interest on Rs. 6,000 over two years is Rs. 273.
Ratios and Proportions
- Rs. 7,786 is divided among A, B, and C, the ratio of A to B is 3:4 and B to C is 12:13. B receives Rs. 2,977.
- In triangle XYZ, XY = 5cm, XZ = 7cm, with Q on YZ where XQ bisects angle X, the value of YQ:QZ is 5:7.
- The ratio of coffee to tea prices is 3:4, with consumption quantities in a 4:7 ratio. The ratio of using coffee and tea is 3:7.
Averages
- The average of prime numbers between 69 and 92 is 80.
- The average of the first eight multiples of 6 is 27.
Percentages and Discounts
- In an election, a candidate getting 90% wins by 800 votes, with a total of 1000 votes cast.
- A sells a watch to B at a 33% profit, and B sells to C at a 20% loss. If C pays Rs. 532, A's purchase price was Rs. 600.
- Richas expenditure and savings are in a 2:1 ratio. A 20% increase in income and a 15% increase in expenditure result in a 30% increase in saving.
- A 27% discount on a bill has a difference of Rs. 56 from two successive discounts of 20% and 10%, with the bill amounting to Rs. 5,600.
Profit and Loss
- Sohan sells sugar at cost price but uses faulty weights earning a 28% profit. He gives 2500 g of sugar for 3.2 kg.
Probability
- Sudarshan and Abraham appear for two vacancies, with selection probabilities of 1/3 and 1/5 respectively. The probability of neither being selected is 8/15.
Time and Distance
- A boat moves 3 km upstream in 1 hour and 1 km downstream in 12 minutes, needing 1 hours 20 minutes to travel 6 km in still water.
Trigonometry
- When the Suns angle is 30° instead of 45°, a towers shadow is 40 m longer, tower height is 20(√3+1) meters.
- A man observes an electric pole at 60° and 30° from P and Q, 10 m apart. The poles height 15√3 m.
Angles
- Two triangle angles are in a 3:7 ratio, and their sum is the third angle, the smallest angle is 9°.
- With a transversal intersecting two parallel lines and interior angles on the same side differing by 40°, the smallest angle is 70°.
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