Question: What is the sum of odd integers from 35 to 85, inclusive?
A) 1,560
B) 1,500
C) 1,240
D) 1,120
E) 1,100
Correct Answer: (A)
Solution and Explanation:
Approach Solution 1:
The problem statement asks to find the sum of odd integers from 35 to 85.
To solve the sum, we need to find the number of odd integers from 35 to 85.
Therefore, number of odd integers = (85-35)/2 + 1 = 50/2 + 1 = 26
Then, Sum of odd integers = (35+85)/2 * 26 = 60 * 26 = 1560
Approach Solution 2:
The problem statement asks to find the sum of odd integers from 35 to 85.
We can solve the sum also in this approach:
∑= nc + ½ ni(n−1)
Where n is the number of integers within the set, c is the initial value, and i is the interval or space between successive integers.
Since, number of odd integers = (85-35)/2 + 1 = 50/2 + 1 = 26, therefore, we can write it as:
=> ∑=(26)(35)+½ (26)(2)((26)−1)
=> ∑=910+26(25)
=> ∑=910+650
=> ∑=1,560
Therefore, the sum of odd integers from 35 to 85 = 1560
Approach Solution 3:
The problem statement asks to find the sum of odd integers from 35 to 85.
The formula of the sum of the odd integers from 35 to 85, inclusive, is as follows:
Sum = avg x quantity
Therefore, from the given conditions of the question, we can write,
Sum = (85 + 35)/2 * (85 - 35)/2 + 1
Sum = 120/2 * 50/2 + 1
Hence, Sum = 60 * 26 = 1560
“What is the sum of odd integers from 35 to 85, inclusive?''- is a topic of the GMAT Quantitative reasoning section of the GMAT exam. This question has been taken from GMAT Official Guide Quantitative Review 2020. GMAT Problem Solving questions consider how well the candidates can interpret mathematical problems. GMAT Quant practice papers represent numerous quantitative problems that tend to increase the mathematical skills of the candidates.
Suggested GMAT Problem Solving Questions
- 1/2 + 1/3 + 1/4 + 1/5 + 1/6 GMAT Problem Solving
- A Regular Pentagon is Inscribed in a Circle. If A and B are GMAT Problem Solving
- A Certain Culture of Bacteria Quadruples Every Hour GMAT Problem Solving
- If 2^x + 2^y = x^2 + y^2, Where x and y are Nonnegative GMAT Problem Solving
- If 3 < x < 100, for how many values of x is x/3 the square GMAT Problem Solving
- Hot Competition 3 Sep/8AM: In A Triangle ABC, Shown Above, Three Lines GMAT Problem Solving
- A Thief Steals a Car at 2.30 p.m. and Drives it at 60 km/h. The Theft GMAT Problem Solving
- If |x + 1 | > 2x - 1, Which Of The Following Represents The Correct Range GMAT Problem Solving
- Which Of The Following Is A True Statement? GMAT Problem Solving
- A machine puts c caps on bottles in m minutes. How many hours will it GMAT Problem Solving
- What is the least common multiple of 15, 18, and 24? GMAT Problem Solving
- The Price of Darjeeling Tea (in rupees per kilogram) is 100+0.10n GMAT Problem Solving
- A Migraine Typically Afflicts One Side of the Head, Lasts for Hours GMAT Sentence Correction
- A 5-meter-long wire is cut into two pieces. If the longer piece GMAT Problem Solving
- The average weight of 15 items is 8 kg. The least average GMAT Problem Solving
- In a class of 78 students 41 are taking French, 22 are taking German GMAT Problem Solving
- If |x| > 3, which if the following must be true? GMAT Problem Solving
- 100 students appeared for two examinations. 60 passed the first GMAT Problem Solving
- An integer between 1 and 300, inclusive, is chosen at random GMAT Problem Solving
- In How Many Ways Can 6 Chocolates Be Distributed Among 3 Children GMAT Problem Solving
- A Man Can Row 50 Km Upstream And 72 Km Downstream In 9 Hours GMAT Problem Solving
- A Sum Of Money Doubles Itself In 7 Years. In How Many Years It Becomes Four Fold GMAT Problem Solving
- On Selling A Pen At 5% Loss And A Book At 15% Gain, Karim Gains Rs. 7 GMAT Problem Solving
- If Two Typists Can Type Two Pages in Two Minutes, How Many GMAT Problem Solving
- An Empty Pool being Filled with Water at a Constant Rate takes 8 hours GMAT Problem Solving
- For Every Positive Even Integer n, the Function h(n) is Defined to be GMAT Problem Solving
- The formula F = 9/5 * C + 32 gives the relationship between the temperature GMAT Problem Solving
- A Takes 5 More Days Than B To Do A Certain Job And 9 Days More Than C GMAT Problem Solving
- A Watch Which Gains 5 Seconds In 3 Minutes Was Set Right At 7 A.M. GMAT Problem Solving
- Of The 800 Employees Of Company X, 70 Percent Have Been With The Company GMAT Problem Solving
- To 100 Litres Of Milk, 10 Litres Of Water Is Added And Then 20 Litres GMAT Problem Solving
- Walking at 3/4 of his normal speed, Mike is 16 minutes late GMAT Problem Solving
- There are 12 yes or no questions. How many ways can these be answered? GMAT Problem Solving
- There are 7 Red and 5 Blue Marbles in a Jar GMAT Problem Solving
- A Basket Contains 3 White and 5 Blue Balls GMAT Problem Solving
- Working together, John and Jack can type 20 pages in one hour GMAT Problem Solving
- Is x^2 *x^5*z>0? GMAT Problem Solving
- The average (arithmetic mean) of four distinct positive integers is 10 GMAT Problem Solving
- How many roots does the equation √x2+1+√x2+2=2 have? GMAT Problem Solving
- A Box Contains 10 Tablets of Medicine A and 15 Tablets of Medicine B GMAT Problem Solving
- If x=√10+3√9+4√8+5√7+6√6+7√5+8√4+9√3+10√2,
- then which of the following must be true? GMAT Problem Solving
- What is the last digit of (3)^(3)^3? GMAT Problem Solving
- It takes Jack 2 more hours than Tom to type 20 pages GMAT Problem Solving
- The angles in a triangle are x, 3x, 5x degrees GMAT Problem Solving
- If among 5 children, there are 2 siblings; in how many ways can the children be seated GMAT Problem Solving
- Among 200 People, 56% like Strawberry Jam, 44% like Apple Jam, and 40% like Raspberry Jam GMAT Problem Solving
- If 4 Women and 6 Men Work in the Accounting Department GMAT Problem Solving
- If 2^98=256L+N, where L and N are integers and 0≤N≤4, what is the value of N? GMAT Problem Solving?
- A draining pipe can empty a pool in 4 hours GMAT Problem Solving.
Comments