3 Hardest GRE Questions from April 2017

Posted by on April 17, 2017 in GRE | 3 comments

A GRE student with a 170 on the quantitative section last week shared that these were 3 of the hardest types of questions you could see on the test. Can you answer these? I have given the answers below and will share solutions once you give these a try.

1. Mary sold 15 widgets last week. The median sale price of all widgets was $130 and the average sale price of all widgets was $150.

Quantity A: $165
Quantity B: The least possible sale price of the most expensive widget.

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.

2. Each student in a school takes either the French class or Spanish class, but not both. Each class has some male and some female students. The ratio of the number of female students to the number of male students is less for Spanish class than for French class.

Quantity A: The ratio of the number of female students to the number of male students in French class.
Quantity B: The ratio of the number of female students to the number of male students in the school.

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.

3. Function f(100)= the product of all the even integers from 2 to 100, inclusive.

Quantity A: 40
Quantity A: The largest prime factor of f(100)

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.

Answers

1. B
2. A
3. B

3 Comments

  1. Would you mind explaining these? The fact that I cannot solve these after 4 months of full time prep is kinda scary.

  2. Q1:- The sum of 15 widgets CP will be = 15 X 150 = 2250
    As median is 130 so there will be 7 items whose CP will be less than or equal to this. To get the least greatest price, assume all are 130 then 8*130 = 1040
    The remaining will have a sum of = 7 X A(Avg price)
    Now 2250 – 1040 = 7 X A
    A = 172
    so Answer is B

    Q2- Assume the ratio of Female to male in Spanish is 1/3 and French is 1/2. This satisfies the question condition.
    A= 1/2 and B=2/5 so A is greater.

    Q3- A = 40 and B=highest prime factor of f(100)
    f(100) = 2 x 4 x 6 x …x 98 x 100

    For B, 94 has factors 2, 47. 47 is prime Hence answer is B

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