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4GMAT Diagnostic test Q3 - Problem Solving - Word Problems : Algebraic Factorization

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This one is a word problem in algebra and tests your ability to frame equations and mathematical expressions from the information given in words. The concept tested is that of elementary algebraic factorization. Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. The difference between the number of sheep in the first row of the farms is 4 and the difference in the number of sheep in the two farms is 152. What is the sum of the number of sheep in the two farms? A) 620 B) 730 C) 441 D) 289 E) 480

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GMAT QUANTITATIVE REASONING WORD PROBLEMS ALGEBRA: FACTORIZING PROBLEM SOLVING Diagnostic Test
Question Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. The difference between the number of sheep in the first row of the farms is 4 and the difference in the number of sheep in the two farms is 152. What is the sum of the number of sheep in the two farms? A. 620 B. 730 C. 441 D. 289 E. 480
Step 1 Express what is stated in words into equations or expressions
Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. What is the sum of the number of sheep in the two farms?
Step 1: Words to equations Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. What is the sum of the number of sheep in the two farms?
Step 1: Words to equations Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. What is the sum of the number of sheep in the two farms? 01 Sheep made to stand in square formation
Step 1: Words to equations Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. What is the sum of the number of sheep in the two farms? 01 Sheep made to stand in square formation In a square formation, the number of sheep in a row is the same as the number of rows.
Step 1: Words to equations Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. What is the sum of the number of sheep in the two farms? 01 Sheep made to stand in square formation In a square formation, the number of sheep in a row is the same as the number of rows. Let there be ¡®a¡¯ rows in farm A. So, there will ¡®a¡¯ sheep in each row of farm A.
Step 1: Words to equations Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. What is the sum of the number of sheep in the two farms? 01 Sheep made to stand in square formation In a square formation, the number of sheep in a row is the same as the number of rows. Let there be ¡®a¡¯ rows in farm A. So, there will ¡®a¡¯ sheep in each row of farm A. Therefore, total number of sheep in farm A = a * a = a2
Step 1: Words to equations Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. What is the sum of the number of sheep in the two farms? 01 Sheep made to stand in square formation In a square formation, the number of sheep in a row is the same as the number of rows. Let there be ¡®a¡¯ rows in farm A. So, there will ¡®a¡¯ sheep in each row of farm A. Therefore, total number of sheep in farm A = a * a = a2 Let there be ¡®b¡¯ rows in farm B. So, there will ¡®b¡¯ sheep in each row of farm B.
Step 1: Words to equations Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. What is the sum of the number of sheep in the two farms? 01 Sheep made to stand in square formation In a square formation, the number of sheep in a row is the same as the number of rows. Let there be ¡®a¡¯ rows in farm A. So, there will ¡®a¡¯ sheep in each row of farm A. Therefore, total number of sheep in farm A = a * a = a2 Let there be ¡®b¡¯ rows in farm B. So, there will ¡®b¡¯ sheep in each row of farm B. Therefore, total number of sheep in farm B = b * b = b2
The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms?
The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­
The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­ 02 First row difference is 4
The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­ 02 First row difference is 4 Number of sheep in first row of farm A = a
The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­ 02 First row difference is 4 Number of sheep in first row of farm A = a Number of sheep in first row of farm B = b
The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­ 02 First row difference is 4 Number of sheep in first row of farm A = a Number of sheep in first row of farm B = b Difference = (a ¨C b) = 4
The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­ 02 First row difference is 4 03 Difference in number of sheep is 152 Number of sheep in first row of farm A = a Number of sheep in first row of farm B = b Difference = (a ¨C b) = 4
The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­ 02 First row difference is 4 03 Difference in number of sheep is 152 Number of sheep in first row of farm A = a Number of sheep in first row of farm B = b Difference = (a ¨C b) = 4 Number of sheep in farm A = a2
The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­ 02 First row difference is 4 03 Difference in number of sheep is 152 Number of sheep in first row of farm A = a Number of sheep in first row of farm B = b Difference = (a ¨C b) = 4 Number of sheep in farm A = a2 Number of sheep in farm B = b2
The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­ 02 First row difference is 4 03 Difference in number of sheep is 152 Number of sheep in first row of farm A = a Number of sheep in first row of farm B = b Difference = (a ¨C b) = 4 Number of sheep in farm A = a2 Number of sheep in farm B = b2 Difference in number of sheep is (a2 ¨C b2) = 152
Step 2 Algebraic Factorization to determine a and b
What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152
What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯
What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b)
What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b) a2 ¨C b2 = 152 ¡­ eqn (1)
What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b) a2 ¨C b2 = 152 ¡­ eqn (1) a ¨C b = 4 ¡­ eqn (2)
What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b) a2 ¨C b2 = 152 ¡­ eqn (1) a ¨C b = 4 ¡­ eqn (2) i.e., 152 = (a + b) * 4
What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b) a2 ¨C b2 = 152 ¡­ eqn (1) a ¨C b = 4 ¡­ eqn (2) i.e., 152 = (a + b) * 4 Or (a + b) = 152 4 = 38 ¡­ eqn (3)
What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b) a2 ¨C b2 = 152 ¡­ eqn (1) a ¨C b = 4 ¡­ eqn (2) i.e., 152 = (a + b) * 4 Or (a + b) = 152 4 = 38 ¡­ eqn (3) Solve equations (2) and (3) to get ¡®a¡¯ and ¡®b¡¯
What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b) a2 ¨C b2 = 152 ¡­ eqn (1) a ¨C b = 4 ¡­ eqn (2) i.e., 152 = (a + b) * 4 Or (a + b) = 152 4 = 38 ¡­ eqn (3) Solve equations (2) and (3) to get ¡®a¡¯ and ¡®b¡¯ Adding (2) and (3), (a ¨C b + a + b) = 4 + 38 Or 2a = 42. a = 21
What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b) a2 ¨C b2 = 152 ¡­ eqn (1) a ¨C b = 4 ¡­ eqn (2) i.e., 152 = (a + b) * 4 Or (a + b) = 152 4 = 38 ¡­ eqn (3) Solve equations (2) and (3) to get ¡®a¡¯ and ¡®b¡¯ Adding (2) and (3), (a ¨C b + a + b) = 4 + 38 Or 2a = 42. a = 21 If a = 21, in eqn (2) 21 ¨C b = 4. So, b = 17
Finding a and b is not the last step. There is one more to go. What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b) a2 ¨C b2 = 152 ¡­ eqn (1) a ¨C b = 4 ¡­ eqn (2) i.e., 152 = (a + b) * 4 Or (a + b) = 152 4 = 38 ¡­ eqn (3) Solve equations (2) and (3) to get ¡®a¡¯ and ¡®b¡¯ Adding (2) and (3), (a ¨C b + a + b) = 4 + 38 Or 2a = 42. a = 21 If a = 21, in eqn (2) 21 ¨C b = 4. So, b = 17
Step 3 Compute the total number of sheep in the two farms
What is the sum of the number of sheep in the two farms? a =21 and b = 17
What is the sum of the number of sheep in the two farms? a =21 and b = 17 Step 3: Compute the total number of sheep
What is the sum of the number of sheep in the two farms? a =21 and b = 17 Step 3: Compute the total number of sheep Total number of sheep in farm A = a2 = 212 = 441
What is the sum of the number of sheep in the two farms? a =21 and b = 17 Step 3: Compute the total number of sheep Total number of sheep in farm A = a2 = 212 = 441 Total number of sheep in farm B = b2 = 172 = 289
What is the sum of the number of sheep in the two farms? a =21 and b = 17 Step 3: Compute the total number of sheep Total number of sheep in farm A = a2 = 212 = 441 Total number of sheep in farm B = b2 = 172 = 289 Total number of sheep in both the farms together = 441 + 289 = 730
What is the sum of the number of sheep in the two farms? a =21 and b = 17 Step 3: Compute the total number of sheep Total number of sheep in farm A = a2 = 212 = 441 Total number of sheep in farm B = b2 = 172 = 289 Total number of sheep in both the farms together = 441 + 289 = 730 730 sheep in both farms
What is the sum of the number of sheep in the two farms? a =21 and b = 17 Step 3: Compute the total number of sheep Total number of sheep in farm A = a2 = 212 = 441 Total number of sheep in farm B = b2 = 172 = 289 Total number of sheep in both the farms together = 441 + 289 = 730 Choices B is the answer. 730 sheep in both farms
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4GMAT Diagnostic test Q3 - Problem Solving - Word Problems : Algebraic Factorization

  • 1. GMAT QUANTITATIVE REASONING WORD PROBLEMS ALGEBRA: FACTORIZING PROBLEM SOLVING Diagnostic Test
  • 2. Question Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. The difference between the number of sheep in the first row of the farms is 4 and the difference in the number of sheep in the two farms is 152. What is the sum of the number of sheep in the two farms? A. 620 B. 730 C. 441 D. 289 E. 480
  • 3. Step 1 Express what is stated in words into equations or expressions
  • 4. Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. What is the sum of the number of sheep in the two farms?
  • 5. Step 1: Words to equations Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. What is the sum of the number of sheep in the two farms?
  • 6. Step 1: Words to equations Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. What is the sum of the number of sheep in the two farms? 01 Sheep made to stand in square formation
  • 7. Step 1: Words to equations Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. What is the sum of the number of sheep in the two farms? 01 Sheep made to stand in square formation In a square formation, the number of sheep in a row is the same as the number of rows.
  • 8. Step 1: Words to equations Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. What is the sum of the number of sheep in the two farms? 01 Sheep made to stand in square formation In a square formation, the number of sheep in a row is the same as the number of rows. Let there be ¡®a¡¯ rows in farm A. So, there will ¡®a¡¯ sheep in each row of farm A.
  • 9. Step 1: Words to equations Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. What is the sum of the number of sheep in the two farms? 01 Sheep made to stand in square formation In a square formation, the number of sheep in a row is the same as the number of rows. Let there be ¡®a¡¯ rows in farm A. So, there will ¡®a¡¯ sheep in each row of farm A. Therefore, total number of sheep in farm A = a * a = a2
  • 10. Step 1: Words to equations Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. What is the sum of the number of sheep in the two farms? 01 Sheep made to stand in square formation In a square formation, the number of sheep in a row is the same as the number of rows. Let there be ¡®a¡¯ rows in farm A. So, there will ¡®a¡¯ sheep in each row of farm A. Therefore, total number of sheep in farm A = a * a = a2 Let there be ¡®b¡¯ rows in farm B. So, there will ¡®b¡¯ sheep in each row of farm B.
  • 11. Step 1: Words to equations Sheep in farm A are made to stand in a square formation; sheep in farm B are made to stand in another square formation. What is the sum of the number of sheep in the two farms? 01 Sheep made to stand in square formation In a square formation, the number of sheep in a row is the same as the number of rows. Let there be ¡®a¡¯ rows in farm A. So, there will ¡®a¡¯ sheep in each row of farm A. Therefore, total number of sheep in farm A = a * a = a2 Let there be ¡®b¡¯ rows in farm B. So, there will ¡®b¡¯ sheep in each row of farm B. Therefore, total number of sheep in farm B = b * b = b2
  • 12. The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms?
  • 13. The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­
  • 14. The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­ 02 First row difference is 4
  • 15. The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­ 02 First row difference is 4 Number of sheep in first row of farm A = a
  • 16. The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­ 02 First row difference is 4 Number of sheep in first row of farm A = a Number of sheep in first row of farm B = b
  • 17. The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­ 02 First row difference is 4 Number of sheep in first row of farm A = a Number of sheep in first row of farm B = b Difference = (a ¨C b) = 4
  • 18. The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­ 02 First row difference is 4 03 Difference in number of sheep is 152 Number of sheep in first row of farm A = a Number of sheep in first row of farm B = b Difference = (a ¨C b) = 4
  • 19. The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­ 02 First row difference is 4 03 Difference in number of sheep is 152 Number of sheep in first row of farm A = a Number of sheep in first row of farm B = b Difference = (a ¨C b) = 4 Number of sheep in farm A = a2
  • 20. The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­ 02 First row difference is 4 03 Difference in number of sheep is 152 Number of sheep in first row of farm A = a Number of sheep in first row of farm B = b Difference = (a ¨C b) = 4 Number of sheep in farm A = a2 Number of sheep in farm B = b2
  • 21. The difference between the number of sheep in the first row of the farms is 4 the difference in the number of sheep in the two farms is 152 What is the sum of the number of sheep in the two farms? Step 1: Words to equations continued¡­ 02 First row difference is 4 03 Difference in number of sheep is 152 Number of sheep in first row of farm A = a Number of sheep in first row of farm B = b Difference = (a ¨C b) = 4 Number of sheep in farm A = a2 Number of sheep in farm B = b2 Difference in number of sheep is (a2 ¨C b2) = 152
  • 22. Step 2 Algebraic Factorization to determine a and b
  • 23. What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152
  • 24. What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯
  • 25. What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b)
  • 26. What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b) a2 ¨C b2 = 152 ¡­ eqn (1)
  • 27. What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b) a2 ¨C b2 = 152 ¡­ eqn (1) a ¨C b = 4 ¡­ eqn (2)
  • 28. What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b) a2 ¨C b2 = 152 ¡­ eqn (1) a ¨C b = 4 ¡­ eqn (2) i.e., 152 = (a + b) * 4
  • 29. What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b) a2 ¨C b2 = 152 ¡­ eqn (1) a ¨C b = 4 ¡­ eqn (2) i.e., 152 = (a + b) * 4 Or (a + b) = 152 4 = 38 ¡­ eqn (3)
  • 30. What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b) a2 ¨C b2 = 152 ¡­ eqn (1) a ¨C b = 4 ¡­ eqn (2) i.e., 152 = (a + b) * 4 Or (a + b) = 152 4 = 38 ¡­ eqn (3) Solve equations (2) and (3) to get ¡®a¡¯ and ¡®b¡¯
  • 31. What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b) a2 ¨C b2 = 152 ¡­ eqn (1) a ¨C b = 4 ¡­ eqn (2) i.e., 152 = (a + b) * 4 Or (a + b) = 152 4 = 38 ¡­ eqn (3) Solve equations (2) and (3) to get ¡®a¡¯ and ¡®b¡¯ Adding (2) and (3), (a ¨C b + a + b) = 4 + 38 Or 2a = 42. a = 21
  • 32. What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b) a2 ¨C b2 = 152 ¡­ eqn (1) a ¨C b = 4 ¡­ eqn (2) i.e., 152 = (a + b) * 4 Or (a + b) = 152 4 = 38 ¡­ eqn (3) Solve equations (2) and (3) to get ¡®a¡¯ and ¡®b¡¯ Adding (2) and (3), (a ¨C b + a + b) = 4 + 38 Or 2a = 42. a = 21 If a = 21, in eqn (2) 21 ¨C b = 4. So, b = 17
  • 33. Finding a and b is not the last step. There is one more to go. What is the sum of the number of sheep in the two farms? a ¨C b =4 and a2 ¨C b2 = 152 Step 2: Factorize to determine ¡®a¡¯ and ¡®b¡¯ a2 ¨C b2 = (a + b)(a ¨C b) a2 ¨C b2 = 152 ¡­ eqn (1) a ¨C b = 4 ¡­ eqn (2) i.e., 152 = (a + b) * 4 Or (a + b) = 152 4 = 38 ¡­ eqn (3) Solve equations (2) and (3) to get ¡®a¡¯ and ¡®b¡¯ Adding (2) and (3), (a ¨C b + a + b) = 4 + 38 Or 2a = 42. a = 21 If a = 21, in eqn (2) 21 ¨C b = 4. So, b = 17
  • 34. Step 3 Compute the total number of sheep in the two farms
  • 35. What is the sum of the number of sheep in the two farms? a =21 and b = 17
  • 36. What is the sum of the number of sheep in the two farms? a =21 and b = 17 Step 3: Compute the total number of sheep
  • 37. What is the sum of the number of sheep in the two farms? a =21 and b = 17 Step 3: Compute the total number of sheep Total number of sheep in farm A = a2 = 212 = 441
  • 38. What is the sum of the number of sheep in the two farms? a =21 and b = 17 Step 3: Compute the total number of sheep Total number of sheep in farm A = a2 = 212 = 441 Total number of sheep in farm B = b2 = 172 = 289
  • 39. What is the sum of the number of sheep in the two farms? a =21 and b = 17 Step 3: Compute the total number of sheep Total number of sheep in farm A = a2 = 212 = 441 Total number of sheep in farm B = b2 = 172 = 289 Total number of sheep in both the farms together = 441 + 289 = 730
  • 40. What is the sum of the number of sheep in the two farms? a =21 and b = 17 Step 3: Compute the total number of sheep Total number of sheep in farm A = a2 = 212 = 441 Total number of sheep in farm B = b2 = 172 = 289 Total number of sheep in both the farms together = 441 + 289 = 730 730 sheep in both farms
  • 41. What is the sum of the number of sheep in the two farms? a =21 and b = 17 Step 3: Compute the total number of sheep Total number of sheep in farm A = a2 = 212 = 441 Total number of sheep in farm B = b2 = 172 = 289 Total number of sheep in both the farms together = 441 + 289 = 730 Choices B is the answer. 730 sheep in both farms
  • 42. For more questions Visit http://www.4gmat.com GMAT Classes and GMAT Preparation Send your comments / feedback to info@4gmat.com
  • 43. 4GMAT We offer classroom training in Chennai and Bangalore Tutors include GMAT 98%ilers, US B School graduates and IIM graduates Call us: +91 95000 48484 Mail us: info@4gmat.com