Practice Questions Chat

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PS Question 1- Nov 18

If a × b is a positive number and b^2 > ab, then which of the following can be true?

I. a^2 < b^2 < a < b

II. a < b < a^2 < b^2

III. b < a < a^2 < b^2

A) I only
B) II only
C) III only
D) I & III only
E) I, II & III

Source: GMATWhiz | Difficulty: Hard

DS Question 2 - Nov 18 - A slight modified version to DS Question 1

If at least one of p, q, r is an integer, is p + q + r even?

(1) p−q−r is even.

(2) (p-r)/q is odd

Source : Others | Difficulty : Hard

Awesome kapil1995. E is the right answer !

PS Question 2 - Nov 18

When positive integer n is divided by 53, the remainder is 21, and when positive integer p is divided by 53, the remainder is 25. What is the remainder when the product np is divided by 53?

A. 16
B. 32
C. 36
D. 44
E. 48

Source: Others (PS Butler) | Difficulty: Medium

48

DS Question 3 - Nov 18

Line P and Q intersect at a point (2,-5), is the slope of line P is greater than that of line Q?

(1) X intercept of P is less than Q

(2) Y intercept of P is more than Q.

Source: Expert’s Global | Difficulty: Hard

Concept Recap

Are the below statements True or False - Let’s see who gets all correct !

Note: The statements may or may not be correct. If you think a statement is false, please share the correct version.

1) The median of a set with odd number of terms will be always be a member of the set.

2) A polygon is a regular polygon, if length of its sides is same.

3) If x+y = constant, the maximum value of x*y is when x = y.

4) If the diagonal of a quadrilateral is perpendicular to each other, the quadrilateral is either a rhombus or a square.

5) A set X consists of n terms and the arithmetic mean of the set is ’A’. A new term, whose value is same as the arithmetic mean of set X (i.e A) is added to the set. Post this operation the resultant arithmetic mean (say A1) is less than the original mean. (in other words - is A1 < A ?)

6) The product of three consecutive integers is always divisible by 6.

Hi

Is there a group for verbal too

No one answered this . Here are the answers .

1) The median of a set with odd number of terms will be always be a member of the set.

TRUE

2) A polygon is a regular polygon, if length of its sides is same.

FALSE : The length of the side and the value of the angle should be same.

3) If x+y = constant, the maximum value of x*y is when x = y.

TRUE

4) If the diagonal of a quadrilateral is perpendicular to each other, the quadrilateral is either a rhombus or a square.

FALSE : Can be kite as well.

5) A set X consists of n terms and the arithmetic mean of the set is ’A’. A new term, whose value is same as the arithmetic mean of set X (i.e A) is added to the set. Post this operation the resultant arithmetic mean (say A1) is less than the original mean. (in other words - is A1 < A ?)

FALSE: The mean (average) remains the same when the new term added is same as the existing mean.

6) The product of three consecutive integers is always divisible by 6.

TRUE

PS Question 1 - Nov 19

A certain experimental mathematics program was tried out in 2 classes in each of 32 elementary schools and involved 37 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. If the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are

A) 0 and 13
B) 0 and 14
C) 1 and 10
D) 1 and 9
E) 2 and 8

Source: Official Guide | Difficulty : Hard

Should be A.
64 classes, 37 teaches - each teacher can take 2 classes and have classes left over, so min is 0
For max: cannot be 14 since 14(3)+23>64 therefore must be A.

DS Question 1 - Nov 19

Is the average of n consecutive integers equal to 1 ?

(1) n is even
(2) if S is the sum of the n consecutive integers, then 0 < S < n

Source: Manhattan | Difficulty: Hard

48?

C - both together?

is it D ?

PS Question - 2

If 2f(x) + f(x^2 - 1) = 1, for all x, then what is the value of f(-root(2)) ?

A. -1/3
B. 0
C. 1/3
D. 2/3
E. 1

Source: GMAT Club Tests | Difficulty: Hard

The answer is not C

Sorry ! my bad .. your working looks fine. The answer on the forum seems otherwise. My Apologies. I will get that corrected. The answer should be C. Kudos !

Also - I realized that I solved and obtained C as well. Didn’t check that

DS Question-2 Nov 19

If x is a positive number, is x an even integer?

(1) 3x is an even integer.

(2) 5x is an even integer.

Source: Manhattan | Difficulty: Hard

A) Insuff. X can be 2/3 or 2.
B) Insuff X can be 2/15 or 2.
C) Suff. No fraction exists that allows for both conditions to be satisfied - for example 2/15 leads 1 and 2 insuff. Therefore X must be an integer, and since 3 and 5 are odd but 3x and 5x are even, X is even integer.

The answer is C. The answer was incorrectly initially incorrect published. It was later corrected. Hope that clarifies kapil1995