Quant Question of the Day Chat

DS Question 1 - May 11

Is |2a − 3b| < |a − b| + |a − 2b|?

(1) b = 3
(2) a < b

Source: Others | Difficulty: Hard

DS Question 1 - May 11

A rectangular solid, x by y by z, is inscribed in a sphere, so that all eight of its vertices are on the sphere. If x, y and z are positive integers, and the radius of the sphere is √14/2, what is the volume of the rectangular solid?

A. 6
B. 11
C. 12
D. 18
E. 22

Source: GMAT Club Test | Difficulty: Hard

PS Question 1 - May 11

A rectangular solid, x by y by z, is inscribed in a sphere, so that all eight of its vertices are on the sphere. If x, y and z are positive integers, and the radius of the sphere is √14/2, what is the volume of the rectangular solid?

A. 6
B. 11
C. 12
D. 18
E. 22

Source: GMAT Club Test | Difficulty: Hard

can someone explain solution to thi

It is based on the modulus concept:
Equality will hold if (a-b) & (a-2b) are of the same sign. If (a-b) & (a-2b) are of different sign then LHS=RHS. So, basically, we have to find relative sign of (a-b) & (a-2b).

(1) b=3 so. (a-3) and (a-6) Now depending on value of a both quantities can be -,- ; +,- ; or +, +.
So we don’t know hence, options D and A ruled out

(2) (a-b) < 0 But. (a-2b) can be both positive and negative depending on value of b. So, option B ruled out.

(Combined) Given (a-3) < 0. So (a-6) will also be negative. Implies both quantities are negative which means equality will hold. So, we have an answer.

I think answer is (C) 😊

It is based on the modulus concept:
Equality will hold if (a-b) & (a-2b) are of the same sign. If (a-b) & (a-2b) are of different sign then LHS < RHS. So, basically, we have to find relative sign of (a-b) & (a-2b).

(1) b=3 so. (a-3) and (a-6) Now depending on value of a both quantities can be -,- ; +,- ; or +, +.
So we don’t know hence, options D and A ruled out

(2) (a-b) < 0 But. (a-2b) can be both positive and negative depending on value of b. So, option B ruled out.

(Combined) Given (a-3) < 0. So (a-6) will also be negative. Implies both quantities are negative which means equality will hold. So, we have an answer.

I think answer is (C) 😊

*Correction

B

A

stmt 1: b=3
you will get 4 intervals. a<3, 3<a<4.5, 4.5<a<6, a>6
eqn will be false for a<3 & a>6 and true for 3<a<4.5, 4.5<a<6
Not sufficient
stmt 2 a<b; eqn will be always false; sufficient

What is the correct answer?

C is the right answer. There is detailed discussion in the forum by various experts.
is-2a-3b-a-b-a-2b-1-b-3-2-a-b-136682.html

PS Question 1 - May 13[b]

Joan spent $10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange cost $1. How many apples did she buy?

(1) She spent more than $6 on buying oranges

(2) She spent less than $10 on buying oranges

Source: eGMAT | Difficulty: Medium

[b] DS Question 1 - May 13

Joan spent $10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange cost $1. How many apples did she buy?

(1) She spent more than $6 on buying oranges

(2) She spent less than $10 on buying oranges

Source: eGMAT | Difficulty: Medium

PS Question 1 - May 13

If X > X / |X| , Which of the following gives solution set of integer X?
A. X > 1
B. X > -1
C. |X| < 1
D. |X| = 1
E. |X|^2 > 1

Source: Others | Difficulty: Medium

option A , she bought one apple

A

B , solve by mod X = +x , -x for x>0 & x<0 respectively

1) more than 6 dollars on oranges. We know that it cannot be 10 dollars on oranges, as she purchased at least one apple. Therefore the only possible combination is 8 dollars of oranges, and 2 dollars of apples.
2) Clearly NS. Consider the case of 2 dollars on oranges. and 8 on apples or the reverse.

A.

apply numbers. This is straightforward

Hello friends,
can anybody please share the link for questions to practise on topics standard deviation and averages

115^2 = 11*12 25 = 13225

If possible, can someone please explain this shortcut to me and how to use this? Thanks

mysterymanrog, Do you know?

mysterymanrog

oops, sorry, I figured it out. No need to explain anymore. Thank you everyone. Cheers

hi i ’m just new to the gmat quant. I’m doing some of the 700-questions and found them quite hard to solve under 1m30s. How long should it take to answer these questions?

PS Question 1 - May 15

When the digits of two-digit positive integer M are reversed, the result is two-digit positive integer N. Which of the following cannot be a factor of M^2+N^2?

A. 17
B. 29
C. 40
D. 73
E. 101

Source: Veritas Prep | Difficulty: Hard

DS Question 1 - May 15

If 1 < x < 2, is x a terminating decimal?

(1) 22x is an integer.

(2) 56x is an integer.

Source: Expert’s Global | Difficulty : Hard

c

C, kinda guessing on this one

DS Question 1 - May 16

If a and b are positive integers such that a = 24b + 56, what is the highest common factor for a and b?

(1) a = 8p, where p is a positive integer.

(2) b= 7q, where q is a positive integer.

Source: Expert’s Global | Difficulty: Hard

PS Question 1 - May 16

A contractor estimated that his 10-man crew could complete the construction in 110 days if there was no rain. (Assume the crew does not work on any rainy day and rain is the only factor that can deter the crew from working). However, on the 61-st day, after 5 days of rain, he hired 6 more people and finished the project early. If the job was done in 100 days, how many days after day 60 had rain?

A. 4
B. 5
C. 6
D. 7
E. 8

Source: GMAT Club Tests | Difficulty: Hard