# All You Wanted to Know About GRE Quant Arithmetic

###### What is tested in Arithmetic?

What is tested in Arithmetic can be split into three broad buckets:

• Numbers and Operations

• Ratio and Percentages

• Rates

##### I) Numbers and Operations

A student who is writing GRE must be very clear about Real numbers as it is a basic concept one will need to solve any GRE question.

Questions will be based on properties of integers, fractions, Powers and Roots of a number, and Number line (Real Line).

Properties of integers questions test your skills at:

• Division algorithm

• Divisibility Rules

• Remainder Rules

• Prime factorization

• Factors and Multiples

Fractions questions test your skills at:

• How to compare fractions

• Terminating fraction and Non-terminating fraction.

Exponents and roots questions test your skills in:

• Basic exponent rules

• Cyclic of powers (unit’s place of number when raised to an integer power)

• Maximum power of an integer in a factorial

Number line questions mostly test the decimals values, distance between two numbers, and total number of elements between two integers.
**Sample Questions**
**1. What is the unit’s digit of (16782345) * (30753847) ?**
**1. 0 2. 2 3. 5 4. 6 5. 8**
**Explanation Here, one must know the cyclicity patterns of each and every digit.We only we need to find 82345 * 538478 – follows a 4 cycle pattern – that is the units place ends with either 8,4,2,6.82345 = 82344+1 = units place is 8.5any = always ends with 5. Five raised to any integer (positive) power always ends with 5.8 * 5 = 40. So the answer is A**.
II) Ratio and Percentages:
Ratios and Percentages will also be tested in Algebra and Geometry.In Arithmetic, the questions will be based on Ratio and Proportion, Percentages, and Profit and loss.
Ratio and Proportion questions test your skills at:
• Finding the actual value when given a ratio
• Comparing two ratios and multiple ratios
• Constructing an equation using ratios
Percentages questions test your skills at:
• Converting a fraction to a percentage
• Successive percentage change
•Percent increase/ Decrease.
• Simple Interest and Compound Interest
Profit and loss questions test your skills at:
• Cost Price, Selling Price and Marked price
• Successive discounts
• Increasing/Decreasing one price with respect to another.
**Sample question:**
**A used car dealer sold one car at a profit of 25% of the dealer’s purchase price for that car, and sold another car at a loss of 20% of the dealer’s purchase price for that car. If the dealer sold each car for $20,000, what was the dealer’s total profit or loss, in dollars, for the two transactions combined?**
**1. 1000 profit 2. 2000 profit 3. 1000 loss 4. 2000 loss 5. 3334 loss**
**Explanation: A dealer sold one car at a profit of 25% of the dealer’s purchase price for that car,let’s say C1, for $20,000.C1∗1.25 = 20,000.C1=16,000.Profit = Selling price−purchase price=20,000−16,000=4,000.A dealer sold another car at a loss of 20% of the dealer’s purchase price for that car,let’s say C2, again for $20,000.C2∗0.8=20,000C2=25,000Loss = purchase price−selling price=25,000−20,000=5,000;Overall loss is 5,000-4,000=1,000,Hence, the answer is C.**
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