Quant Question of the Day Chat

The answer should be “A”.

Reason behind this is the question tells us that to make a cube fir inside a cylinder the volume of the cylinder should be greater than the volume of cube.

Statement 1 tells that the height and diameter. The diameter is the only thing here to take a call as we need to check that whether the bottom of the cube aka the square can fit inside or pass inside the circle of the cylinder. Divide the square into half as isosceles and get 3 root 2 as one diameter of square whereas we have the diameter of circle aka cylinder as 4 and hence square is bigger so its should be a NO.

Statement 2 tells that if the volume of cylinder increased by 50% will fit 3 cubes that means before increase it already had a space of 2 cubes but one statement can differ with the another one so if this is YES and the statement 1 should be Yes to but isn’t. Statement 1 provides slight more info as we don’t that how much the volume will increase after in 50% increase that it may fit 3 cubes.

I got the answer from A so didn’t solved with C however if A goes wrong then only it should be C.

Hence, as of now it should be “A”.

PS Question 1 - Nov 25

The line represented by the equation y = 4 – 2x is the perpendicular bisector of line segment RP. If R has the coordinates (4, 1), what are the coordinates of point P?

(A) (–4, 1)
(B) (–2, 2)
(C) (0, 1)
(D) (0, –1)
(E) (2, 0)

Source: Manhattan | Difficulty: Medium

nice and simple q to start.
Recall that when two lines are perpendicular to each other, the two slopes must multiply to -1.
Therefore, slope of line 1 is -2
-2*m=-1
m=1/2
The slope of line PR will be 1/2
Now we can solve for the equation of PR
1=1/2(4)+b
b=-1
Therefore, line PR has equation
y=1/2x-1


Accidentally hit send before completing.
Before blindly trying answers, we can see that D is the only one that is on line PR, as when x is 0, y is -1 as per our equation. D is therefore clearly the answer. Alternatively you can plug in each answer choice with the same result.

DS Question 1 - Nov

If p,q and R are positive numbers, does q lie between p and r on the number line?

1. 2p < q < 3r
2. 3r < 2q < 5p

Source: Expert’s Global | Difficulty: Hard

DS Question 1 - Nov 25


If p,q and R are positive numbers, does q lie between p and r on the number line?

1. 2p < q < 3r
2. 3r < 2q < 5p

Source: Expert’s Global | Difficulty: Hard

C. We are dealing with positive numbers. From 1) we know that p<q, but don’t know where r lies. From 2) we know that r<q, but don’t know where p lies. Combining both, we know that both p and r are less than q. Thus our answer is a definite no.

PS Question 1 - Nov 26

The product of all the prime numbers less than 20 is closest to which of the following powers of 10 ?

(A) 10^9
(B) 10^8
(C) 10^7
(D) 10^6
(E) 10^5

Source: Official Guide | Difficulty : Hard

C). Best way to approach this is to intelligently create groups of the primes in such a way that the product of each group is close to a power of 10. Then add the total powers of 10. While adding up the powers, it’s better to keep a rough tab on which groups you have rounded up and which groups you have rounded down, so that you don’t end up inadvertently making an error in aggregating the rounding-ups or rounding-downs.

DS Question 1 - Nov 26

Last year 3/5 of the members of a certain club were males. This year the members of the club include all the members from last year plus some new members. Is the fraction of the members of the club who are males greater this year than last year?

(1) More than half of the new members are male.

(2) The number of members of the club this year is 6/5 the number of members last year.

Source: Official Guide | Difficulty: Hard

** WARNING LONGEST APPROACH **
seeking for better, faster approach...

let us assume, last year total members = 100
according to question -
males = 60
females = 40

now This year x members joined, where
males = a
females = b
total strength = 100+x

therefore, now total strength of males this year = 60+a
also. total strength of females this year = 60+b

question asks -

is (60+a) / (100+x) > (60/100)
or (5/3)a > x
or 1.67a > x ?

statement 1: a > x/2

or 2a > x this does not answer whether 1.67a > x
think of some example -

if a=6, and x=8 - yes
if a=5 and x=8 - No


statement 2: 100+x = 6/5 * 100

or x = 20; no info about "a" so insufficient


combine (1) + (2) -
2a>x and x = 20
therefore, a>10 and x = 20

test out: is 1.67a > x
a=11 ans is NO
a = 14 ans is YES


still insufficient - hence option E

small correction above -

"this year" total number of females = 40+b

DS Question 2 - Nov 26

Petra took five exams at a certain university, and on each exam received a grade between 0 and 100 inclusive. Any grade 50 or higher is considered a passing grade. Did Petra receive a passing grade on all five of her exams?

1) The median of her five grades was 68.

2) The average (arithmetic mean) of her five grades was 78.

Source: Ian Stewart Books | Difficulty: Medium

E. The tricky part is reading carefully, with all the modifiers and comparison language present. Okay so the new ratio of males will be higher than that of last year if more than 60% of the newcomers are male. A) comes close and says more than 50% of the newcomers are male, but we don’t know whether it’s more than 60%. B) gives us nothing, since we are not concerned about the number of newcomers, but rather the proportion of males present in the newcomers.

PS Question 2 - Nov 26

If a > b^2 > c^3, which of the following may be true?

I. a > b > c
II. c > b > a
III. a > c > b

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III

Source: Expert’s Global | Difficulty : Hard

C


Yes E
Nice explanation

first case: we can have them be positive proper fractions, so 1 is okay. Elim B.
second case: if they are negative proper fractions it can be true. Elim D, A.
third case: if they are negative integers it can be true. Elim C.
E.

c

Isn’t A?


Sorry It Is E..!!