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10 questions that I made myself [#permalink]
30 Jan 2014, 04:53

6

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Took the GMAT - Q51! Could not have done it without your amazing website and tests. Attached are 10 questions that I made myself. I tried to classify them at a certain level, but I will leave the final call up to you.

Level: 650 - 700

1. Is x < 0.2^{10} ?

(1) x < 0.1^5 (2) x < 0.4^{20}

2. If 27! Is divided by x, for what values of x will the last digit of 27!/x be a zero?

I. 10^5 II. 10^6 III. 10^26

A. None B. Only I C. Only I and II D. Only II and III E. I, II and III

3. The sales price of a new iPad is increased in 2005 by X%. In 2006, the sales price is subsequently decreased by Y%. Is the new price higher than the old price?

(1) x > 2y (2) x > y^3 + 100

4. If x is an integer such that no factor is 1 < y < x, which of the following cannot be the last digit of x^3?

A. 1 B. 5 C. 6 D. 7 E. 8

5. If integer x is the side of a square, is the area of this square greater than the perimeter of this square?

(1) x < 5 (2) The area of a square with side x + 1 is greater than the perimeter of this square

Level 700 - 750

6. On New Year's Eve, a chess competition is organized by the US Chess Society. In this tournament, every chess player plays against each other player exactly 3 times. The total number of matches played was 198. How many players participated in the tournament?

A. 8 B. 11 C. 12 D. 22 E. 24

7. Is w*x*y*z positive?

(1) If w, x, y and z are each multiplied by -1, then the outcome of w*x*y*z is not negative (2) The product of w + 5, x + 5, y + 5 and z + 5 is positive

Level 750 - 800

8. If set S consists of integers {2, 3, 5, 8, x, y}, not necessarily in that order, which of the following could be true if y = 2x?

I. The mean of set S is 8 and the range of set S is 16 II. The median of set S is 4 and the mean of set S is 5 III. The range of set S is defined by 8 - y.

A. None B. Only I C. Only II D. Only III E. I, II and III

9. All numbers that form the consecutive set of integers ("S") with product 720, where no number is greater than 50, are put on a number line. Two numbers are randomly picked, while no number can be picked twice. What is the chance that the sum of the two numbers is less than 10?

A. 1/33 B. 2/15 C. 13/15 D. 17/18 E. 32/33

10. Bart travels by car from Town A to Town B, from Town B to Town C and from Town C back to Town A. The three towns are located in a triangle such that the road from A to B is perpendicular to the road from B to C. The distance between A and B is 5 and the distance between B to C is 12, Was Bart's average speed during the entire trip higher than 60 mph?

(1) It took Bart 2 minutes to travel from town A to town B (2) The ratio of Bart's average speed between AB, BC and AC is 1:7:5

Re: 10 questions that I made myself [#permalink]
31 Jan 2014, 00:48

Kudos for the Q51 and thanks for the great questions. I'd be great if someone could turn them into single questions with the GMAT Timer, makes everything so simple and easier to review for later.

Btw, would you be kind enough to share the study materials/approach you used for quant, or you're just a math-whiz?

Re: 10 questions that I made myself [#permalink]
01 Feb 2014, 00:46

Can you please share the solution too... My answers are: 1: B 2: A 3: D 4: Unable to understand the question 5: A 6: B 7: E 8: D 9: unable to solve 10: C

Re: 10 questions that I made myself [#permalink]
01 Feb 2014, 12:59

Apologies for not posting the answers earlier - I just added them (see my first post).

Quote:

Btw, would you be kind enough to share the study materials/approach you used for quant, or you're just a math-whiz?

I have always been good at math, however, I still studied quite a lot for the math section. GMAT-math is a league on its own. Used ManhattanGMAT and GMATClubs - both highly recommended.

Quote:

1: B 2: A 3: D 4: Unable to understand the question 5: A 6: B 7: E 8: D 9: unable to solve 10: C

4/10 - as mentioned, they are tricky. I haven't had somebody checking the answers for me, though I am quite convinced my answers are correct. I PM'ed Bunuel to do a sanity check.

Regarding question 4 - I believe ManhattanGMAT uses this style quite often to describe a certain number property (1 < y < x). Regarding question 9 - What do you mean by unsolvable?