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gmatophobia
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gmatophobia
DS Question 1 - Dec 09

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
D
IMO you’re considering all the numbers as integers (if so, that’s not correct)

Ex.

p = 9/4, q = 5/4 and r = 1

Both statements satisfy, however p + q + r is not even

p = 8, r = 2 , q = 2

p + q + r is even
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gmatophobia
singhaz
gmatophobia
DS Question 1 - Dec 09

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
D
IMO you’re considering all the numbers as integers (if so, that’s not correct)

Ex.

p = 9/4, q = 5/4 and r = 1

Both statements satisfy, however p + q + r is not even

p = 8, r = 2 , q = 2

p + q + r is even
yes, just realized all are not integers, it must be E
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:thumbsup:

PS Question 1 - Dec 09

The Carson family will purchase three used cars. There are two models of cars available, Model A and Model B, each of which is available in four colors: blue, black, red, and green. How many different combinations of three cars can the Carsons select if all the cars are to be different colors?

A. 24
B. 32
C. 48
D. 60
E. 192

Source: Manhattan GMAT | Difficulty : Hard
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gmatophobia
PS Question 1 - Dec 09

The Carson family will purchase three used cars. There are two models of cars available, Model A and Model B, each of which is available in four colors: blue, black, red, and green. How many different combinations of three cars can the Carsons select if all the cars are to be different colors?

A. 24
B. 32
C. 48
D. 60
E. 192

Source: Manhattan GMAT | Difficulty : Hard
they can buy
all 3 cars of model A or Model B with different colours
total combination will be
(4 * 3 * 2 ) * 2 =24

and

Two of model A & 1 or model B or opposite which will have total 6 combinations

(4*3*2) * 6=144


Total =192
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DS Question 2 - Dec 09

What is the value of integer x?

(1) x + x^2 = 0
(2) |x| + x^2 = 2x

Source: Others | Difficulty: Medium
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gmatophobia
DS Question 2 - Dec 09

What is the value of integer x?

(1) x + x^2 = 0
(2) |x| + x^2 = 2x

Source: Others | Difficulty: Medium
by 1
x can be 0 or -1
by 2
x can be 0 or +1

by both x is 0
Ans: C
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gmatophobia
DS Question 2 - Dec 09

What is the value of integer x?

(1) x + x^2 = 0
(2) |x| + x^2 = 2x

Source: Others | Difficulty: Medium
Solving for 1 we get x=0 or -1
Solving 2:
x>0
x+x^2=2x
x^2-x=0
x=0 or 1
x<0
x^2-3x=0
x(x-3)=0
x=0 or 3
x=3 does not work if we substitute back into the original equation, so we can ignore that solution. Insuff
C) the only value is 0. Thereofre C
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gmatophobia
PS Question 1 - Dec 09

The Carson family will purchase three used cars. There are two models of cars available, Model A and Model B, each of which is available in four colors: blue, black, red, and green. How many different combinations of three cars can the Carsons select if all the cars are to be different colors?

A. 24
B. 32
C. 48
D. 60
E. 192

Source: Manhattan GMAT | Difficulty : Hard
b - 32

gmatophobia
PS Question 1 - Dec 09

The Carson family will purchase three used cars. There are two models of cars available, Model A and Model B, each of which is available in four colors: blue, black, red, and green. How many different combinations of three cars can the Carsons select if all the cars are to be different colors?

A. 24
B. 32
C. 48
D. 60
E. 192

Source: Manhattan GMAT | Difficulty : Hard
aaa OR bbb OR aab OR abb

gmatophobia
DS Question 2 - Dec 09

What is the value of integer x?

(1) x + x^2 = 0
(2) |x| + x^2 = 2x

Source: Others | Difficulty: Medium
c
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PS Question 2 - Dec 09

Set J consists of 18 consecutive even numbers. If the smallest term in the set is -10, what is the range of the positive integers in set J?

A. 22
B. 24
C. 34
D. 36
E. 38

Source: Veritas Prep | Difficulty : Medium
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gmatophobia
PS Question 2 - Dec 09

Set J consists of 18 consecutive even numbers. If the smallest term in the set is -10, what is the range of the positive integers in set J?

A. 22
B. 24
C. 34
D. 36
E. 38

Source: Veritas Prep | Difficulty : Medium
Sneaky question if you don’t read carefully

A.
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gmatophobia
PS Question 2 - Dec 09

Set J consists of 18 consecutive even numbers. If the smallest term in the set is -10, what is the range of the positive integers in set J?

A. 22
B. 24
C. 34
D. 36
E. 38

Source: Veritas Prep | Difficulty : Medium
A
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Which of the following ratio is most nearly equal to the ratio 2√ 5-1 to 4
(A) 19 to 20
(B) 35 to 40
(C) 17 to 20
(D) 33 to 40
(E) 16 to 20

I would request everyone to not do the actual calculations, just try doing it in your head with estimation

And if you get an answer, Please explain your thought process
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Arya1556
Which of the following ratio is most nearly equal to the ratio 2√ 5-1 to 4
(A) 19 to 20
(B) 35 to 40
(C) 17 to 20
(D) 33 to 40
(E) 16 to 20
D?
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Arya1556
Which of the following ratio is most nearly equal to the ratio 2√ 5-1 to 4
(A) 19 to 20
(B) 35 to 40
(C) 17 to 20
(D) 33 to 40
(E) 16 to 20
Most likely wrong but:
Root 5 is just a little over root 4, which is 2. 2 times 2 is 4, less. 1 3. so aprox ratio is slightly more than 3/4.
E is 4/5. too bif
D is close
C is more than E, out
A is far too big
D vs B
B seems closer - D is really close to just 3:4, and we aproximated down (root 5 bigger than 2) and then subtracted 1.
I would go with B

Are these your own questions?
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mysterymanrog
Arya1556
Which of the following ratio is most nearly equal to the ratio 2√ 5-1 to 4
(A) 19 to 20
(B) 35 to 40
(C) 17 to 20
(D) 33 to 40
(E) 16 to 20
Most likely wrong but:
Root 5 is just a little over root 4, which is 2. 2 times 2 is 4, less. 1 3. so aprox ratio is slightly more than 3/4.
E is 4/5. too bif
D is close
C is more than E, out
A is far too big
D vs B
B seems closer - D is really close to just 3:4, and we aproximated down (root 5 bigger than 2) and then subtracted 1.
I would go with B
Yes answer is (B)

mysterymanrog
Are these your own questions?
They are from my coaching centre
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Cool. Is it GMAT coaching center
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Time

I went with (D), because I thought that closest to root 5 is a tad bit over 2 , so the ratio must be approx 3.something:4
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