Questions and Answers
A father's age is twice the sum of the ages of his four sons. In 30 years, the total of the sons' ages will be twice the age of their father. How old is the father now?
If the temperature drops by 18°F in a given day, how much did it drop in degrees Celsius?
Which of the following will not dissolve in water?
Which of the following structures of the skeletal system is innervated?
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Two trains are approaching each other from opposite directions with speeds of 10 miles per hour and 20 miles per hour, respectively. If they are a quarter mile apart, how long will it take for them to collide?
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Which of the following statements is correct?
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If an unknown compound is found to have an empirical formula of CH4, which of the following is the molecular formula if the molar mass was determined to be 128 g/mol?
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Which of the following molecules is amphipathic?
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Study Notes
Mathematics Problem Solving
- A father's age is twice the combined ages of his four sons.
- After 30 years, the sons' total ages will equal twice their father's age.
- Present age of the father calculated as 40 years after solving the equations.
Temperature Conversion
- Temperature drop of 18°F converts to a decrease of 10°C using the formula (change in °F × 5/9).
- Converting 18°F directly to Celsius results in -7.78°C when applying the full conversion formula.
Solubility and Chemical Properties
- Benzene (C6H6) does not dissolve in water due to its non-polar nature.
- Water is polar and dissolves polar substances (e.g., salt, ethanol, hydrogen chloride, acetic acid).
Innervation of Skeletal Structures
- Haversian canals in bone are innervated, containing nerves and blood vessels.
- Structures like hair and nails lack innervation, as they consist of dead cells.
- Cartilage is also not innervated, explaining slower healing in sprains.
Relative Motion and Time Calculation
- To determine time until two trains collide traveling towards each other at 10 mph and 20 mph with a distance of 0.25 miles, use combined speed (30 mph) resulting in a collision time of 30 seconds.
Molecular Polarity
- Polarity of a molecule is influenced by its three-dimensional structure.
- Dipole moments arise from uneven charge distribution; more than one bond in a polyatomic molecule can complicate the dipole moment's total.
Empirical and Molecular Formula Calculations
- An empirical formula of CH4 and a molar mass of 128 g/mol indicate the molecular formula is C8H32 upon calculating the ratio of molecular mass to empirical mass.
Amphipathic Molecules
- Amphipathic molecules have both hydrophilic and hydrophobic regions, influencing their solubility properties.
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Description
Test your problem-solving skills with this DAT Question of the Day Flashcard. This question involves algebraic reasoning to determine the current age of a father based on the ages of his four sons. Dive deep into the logic and calculations required to find the solution.
