GMAT Questions
Q1 On two of his tests, Harry scored 30 out of a maximum of 50 and on the third he scored 40 out of a maximum of 100? What is his average percentage score on the three tests?
(a) 33.33%
(b) 40%
(c) 50%
(d) 53.3%
(e) 66.66%
Q2 In a bundle of 1000 flowers, 200 have 13 petals each, 700 have 15 petals each and the rest have 17 petals each. What is the average number of petals that the 1000 flowers have?
(a) 12.1
(b) 14.8
(c) 15.5
(d) 15.8
(e) 16.1
Q3 What is x - y?
1) x + y = 8
2) x - 2y = 2
(a) 33.33%
(b) 40%
(c) 50%
(d) 53.3%
(e) 66.66%
Q2 In a bundle of 1000 flowers, 200 have 13 petals each, 700 have 15 petals each and the rest have 17 petals each. What is the average number of petals that the 1000 flowers have?
(a) 12.1
(b) 14.8
(c) 15.5
(d) 15.8
(e) 16.1
Q3 What is x - y?
1) x + y = 8
2) x - 2y = 2
A) if statement (1) by itself is sufficient to answer the question, but statement (2) by itself is not;
B) if statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not;
C) if statements (1) and (2) taken together are sufficient to answer the question, even though neither
statement by itself is sufficient;
D) If either statement by itself is sufficient to answer the question;
E) If statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem.
B) if statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not;
C) if statements (1) and (2) taken together are sufficient to answer the question, even though neither
statement by itself is sufficient;
D) If either statement by itself is sufficient to answer the question;
E) If statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem.
Q4 A trader has two kinds of wheat grains - one that he purchased for $20 per sack, and the other that he purchased for $12.5 per sack. How many sacks of the cheaper wheat should he mix in 50 sacks of the expensive wheat, so that the mixture yields a 33.33% profit when sold at $20 per sack?
(a) 20
(b) 25
(c) 50
(d) 100
(e) 200
(a) 20
(b) 25
(c) 50
(d) 100
(e) 200
Q5 If m kg of metal x are melted with n kg of metal y, to form an alloy, it weighs a kg. If i kg of metal x are melted with j kg of metal y, to form an alloy, it weighs a kg. Which one of the following expressions is true?
(a) mx - ny = ix - jy
(b) mx + ix = jy + ny
(c) x / y = m / n = i / j
(d) x / y = mx / my
(e) x/y = (j - n)/(m - i)
Q6 Former prisoners of Japanese internment camps seeking monetary reparations from the government are often told, “There is neither wealth nor wisdom enough in the world to compensate in money for all the wrongs in history.” Which of the following most weakens the argument above?(a) mx - ny = ix - jy
(b) mx + ix = jy + ny
(c) x / y = m / n = i / j
(d) x / y = mx / my
(e) x/y = (j - n)/(m - i)
A) Prior wrongs should not be permitted as a justification for present wrongs.
B) Even though all wrongs cannot be compensated for, some wrongs can be.
C) Since most people committed wrongs, the government should compensate for wrongs with money.
D) Monetary reparations upset social order less than other forms of reparation.
E) Since money is the basic cause of the wrongs, should it not be the cure?
Solutions
Q1 Explanation: Harry's percentage scores for the three tests are 60%, 60%, and 40% respectively. Hence the average percentage is (60+60+40)/3 = 160/3 = 53.33. A common mistake here is to simply take the average of 60% and 40% and incorrectly reach the solution 50%. Since there are two tests in which Harry scores 60%, we take a weighted average, wherein we add 60+60+40 and divide by 3. (d)
B) Even though all wrongs cannot be compensated for, some wrongs can be.
C) Since most people committed wrongs, the government should compensate for wrongs with money.
D) Monetary reparations upset social order less than other forms of reparation.
E) Since money is the basic cause of the wrongs, should it not be the cure?
Solutions
Q1 Explanation: Harry's percentage scores for the three tests are 60%, 60%, and 40% respectively. Hence the average percentage is (60+60+40)/3 = 160/3 = 53.33. A common mistake here is to simply take the average of 60% and 40% and incorrectly reach the solution 50%. Since there are two tests in which Harry scores 60%, we take a weighted average, wherein we add 60+60+40 and divide by 3. (d)
Q2 The calculation of the weighted average is as follows:
(200 × 13 + 700×15 + 100 × 17) / 1000
= 14.8
Q3 (1) is not sufficient since (x - y) is the quantity desired. Likewise, (2) is not sufficient. But (1) and (2) together provide us with 2 equations and two unknowns from which x - y can be determined. The correct response is C. (We may solve the problem by subtracting (2) from (1): 3y = 6, therefore y = 2 and x = 6, so that x - y = 6 - 2 = 4. This calculation is, however, unnecessary.)
Q4 Explanation: The mixture yields a 33.33% profit when sold at $20. Hence its purchase price to the trader was $20/1.33 = $15. This implies that the weighted average purchase price of the two kinds of wheat grains is $ 15. We have 50 sacks of the expensive wheat. Assume that we have n sacks of the cheaper wheat. Hence,
(12.5n + 50 x 20)/(50 + n) = 15. Simplifying this:
12.5n + 1000 = 750 + 15n
Hence, n = 100 (D)
(12.5n + 50 x 20)/(50 + n) = 15. Simplifying this:
12.5n + 1000 = 750 + 15n
Hence, n = 100 (D)
Q5 Explanation:
mx + ny = ix + jy (as both weigh a kg)
mx - ix = jy - ny
x (m - i) = y (j - n)
x/y = (j - n)/(m - i)
Answer is (E)
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