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# Quant Question of the Day Chat

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Re: Quant Question of the Day Chat [#permalink]
mysterymanrog
Take note that it states m and n are non negative integers. In other words, m and n can be 0,1,2.... Also note that any number with 5 in tbe units digit will always have 5, if it taised to a positive power. The same applies to 6 (always 6 if pos power). Statement 1 is a trap. Consider the case of m=0, n=3. We would have units digit of 6. But if m=2, n=3, unjts digit of 1. Statement 2 works. It will always be 1 units digit since it will be 5+6 in the units place. B.
How about a fraction power? 1/2 power will be 2.xx; 1/3 will be 1.xx for both 5 & 6 considering 2^2 = 4 & 2^3 = 8; 6 lies between 5&6 lie between 4&8

C

*Lies between 4&8 for both 5&6

Originally posted by Saakshi2407 on 10 May 2023, 22:57.
Last edited by Saakshi2407 on 10 May 2023, 23:00, edited 2 times in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia
DS Question 1 - May 10 If m and n are non-negative integers, what is the units digit of 5^m + 6^n? (1) m + n > 2 (2) mn > 0 Source: GMAT Club Tests | Difficulty: Medium
B

gmatophobia
PS Question 1 - May 10 Which of the following is/are true? I. |3x - 19| > 5 - x holds for all values of x. II. There is no value of x for which |2x - 10| < 4 - x holds. III. -|5x - 23| is negative for all values of x. A. None B. I only C. I and II only D. I and III only E. I, II and III Source: Expert’s Global | Difficulty: Hard
C

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

Originally posted by gmatophobia on 11 May 2023, 01:27.
Last edited by gmatophobia on 11 May 2023, 01:38, edited 3 times in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia
DS Question 1 - May 11 Is |2a − 3b| < |a − b| + |a − 2b|? (1) b = 3 (2) a < b Source: Others | Difficulty: Hard
can someone explain solution to thi
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Re: Quant Question of the Day Chat [#permalink]
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

Originally posted by Piyush1105 on 11 May 2023, 04:40.
Last edited by Piyush1105 on 11 May 2023, 04:42, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia
DS Question 1 - May 11 Is |2a − 3b| < |a − b| + |a − 2b|? (1) b = 3 (2) a < b Source: Others | Difficulty: Hard
B

gmatophobia
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
A

gunjan_iocl
can someone explain solution to thi
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

Originally posted by wickedvikram on 11 May 2023, 10:39.
Last edited by wickedvikram on 11 May 2023, 10:47, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia
DS Question 1 - May 11 Is |2a − 3b| < |a − b| + |a − 2b|? (1) b = 3 (2) a < b Source: Others | Difficulty: Hard
What is the correct answer?
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Re: Quant Question of the Day Chat [#permalink]
Piyush1105
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
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia
DS Question 1 - May 11 Is |2a − 3b| < |a − b| + |a − 2b|? (1) b = 3 (2) a < b Source: Others | Difficulty: Hard
C

gmatophobia
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
A

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

Originally posted by gmatophobia on 12 May 2023, 23:46.
Last edited by gmatophobia on 12 May 2023, 23:52, edited 3 times in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia
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
option A , she bought one apple

gmatophobia
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
A

Originally posted by AbhinavKumar on 13 May 2023, 00:10.
Last edited by AbhinavKumar on 13 May 2023, 00:13, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia
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
B , solve by mod X = +x , -x for x>0 & x<0 respectively
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia
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
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.
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Re: Quant Question of the Day Chat [#permalink]
Europass
B , solve by mod X = +x , -x for x>0 & x<0 respectively
apply numbers. This is straightforward
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Re: Quant Question of the Day Chat [#permalink]
Hello friends,
can anybody please share the link for questions to practise on topics standard deviation and averages
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Re: Quant Question of the Day Chat [#permalink]
115^2 = 11*12 25 = 13225

0Lucky0
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

Originally posted by 0Lucky0 on 14 May 2023, 08:37.
Last edited by 0Lucky0 on 14 May 2023, 08:45, edited 4 times in total.
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Re: Quant Question of the Day Chat [#permalink]
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?
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia
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
A

gmatophobia
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
A

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

Originally posted by gmatophobia on 15 May 2023, 00:45.
Last edited by gmatophobia on 15 May 2023, 00:46, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink]
gmatophobia
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

gmatophobia
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
C, kinda guessing on this one

Originally posted by crucifier on 15 May 2023, 10:35.
Last edited by crucifier on 15 May 2023, 10:40, edited 1 time in total.
Re: Quant Question of the Day Chat [#permalink]
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