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PS Question 2 - Dec 17

The function f is defined for each positive three-digit integer n by f(n)=2^x * 3^y * 5^z , where x, y and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive integers such that f(m)=9∗f(v) , then m−v= ?

(A) 8
(B) 9
(C) 18
(D) 20
(E) 80

Source: Official Guide | Difficulty : Medium
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gmatophobia
PS Question 2 - Dec 17 The function f is defined for each positive three-digit integer n by f(n)=2^x * 3^y * 5^z , where x, y and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive integers such that f(m)=9∗f(v) , then m−v= ? (A) 8 (B) 9 (C) 18 (D) 20 (E) 80 Source: Official Guide | Difficulty : Medium
I’m pretty sure the answer is D.

Taking f(m)=9*f(v)
2^a*3^b*5^c=9(2^x*3^y*5^z)
2^a-x*3^b-y*5^c-z=9
Since 3^2=9, a-x=0, b-y=2, c-z=0

which means the hundreds and ones digits are the same and the tena digits have a difference of 2 which means the difference is 20
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PS Question 1 - Dec 17 For an odd integer n, the function f(n) is defined as the product of all odd integers from 1 to n. The lowest odd prime factor f(71)-­1 lies between… A. 3 and 10 B. 11 and 30 C. 31 and 50 D. 51 and 70 E. 71 and above Source: Experts Global | Difficulty: Hard

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DS Question 1 - Dec 17 Is the standard deviation of the numbers in list R less than the standard deviation of the numbers in list S ? (1) The range of the numbers in R is less than the range of the numbers in S. (2) Each number in R occurs once and each number in S is repeated. Source: Official Guide | Difficulty: Hard

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PS Question 2 - Dec 17 The function f is defined for each positive three-digit integer n by f(n)=2^x * 3^y * 5^z , where x, y and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive integers such that f(m)=9∗f(v) , then m−v= ? (A) 8 (B) 9 (C) 18 (D) 20 (E) 80 Source: Official Guide | Difficulty : Medium
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DS Question 1 - Dec 18

What is the value of m?

(1) |1 - x| = m - 3
(2) |2 - m| = 7.

Source: Experts Global | Difficulty : Medium

PS Question 1 - Dec 18

The last digit of 12^(12) + 13^(13) – 14^(14) * 15^(15) =

A. 0
B. 1
C. 5
D. 8
E. 9

Source: Veritas Prep | Difficulty : Hard
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DS Question 1 - Dec 18 What is the value of m? (1) |1 - x| = m - 3 (2) |2 - m| = 7. Source: Experts Global | Difficulty : Medium
1) Clearly ins
2) Solve inequalitiy, m=-5 or 9.
3) ABS cannot be negative, m is 9.

C

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PS Question 1 - Dec 18 The last digit of 12^(12) + 13^(13) – 14^(14) * 15^(15) = A. 0 B. 1 C. 5 D. 8 E. 9 Source: Veritas Prep | Difficulty : Hard
B

12^12 has units digit of 6, 3^13 units digit of 3, 14^14 has units digit of 6, 15^5 has unit digit 5.
9-30=-21
units digit of 1
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DS Question 2 - Dec 18

In the xy-plane, does the line y = 2x - 1 contain the point (p,q)?

(1) (2p - 1 - q)(3p + 7 - q) = 0
(2) (5p + 2 - q)(1 - 2p + q) = 0

Source: Experts Global | Difficulty : Hard
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DS Question 1 - Dec 18 What is the value of m? (1) |1 - x| = m - 3 (2) |2 - m| = 7. Source: Experts Global | Difficulty : Medium

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PS Question 1 - Dec 18 The last digit of 12^(12) + 13^(13) – 14^(14) * 15^(15) = A. 0 B. 1 C. 5 D. 8 E. 9 Source: Veritas Prep | Difficulty : Hard

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DS Question 2 - Dec 18 In the xy-plane, does the line y = 2x - 1 contain the point (p,q)? (1) (2p - 1 - q)(3p + 7 - q) = 0 (2) (5p + 2 - q)(1 - 2p + q) = 0 Source: Experts Global | Difficulty : Hard
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gmatophobia
DS Question 2 - Dec 18 In the xy-plane, does the line y = 2x - 1 contain the point (p,q)? (1) (2p - 1 - q)(3p + 7 - q) = 0 (2) (5p + 2 - q)(1 - 2p + q) = 0 Source: Experts Global | Difficulty : Hard
Rephrase the question as
q=2p-1

1) We have two solutions

q=2p-1 or q=3p+7. NS
2) 5p+2=q, q=-2p+1.
NS.
3) Combing both we still cannot determine. E.
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DS Question 1 - Dec 19

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: Experts Global | Difficulty: Hard
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PS Question 1 - Nov 19

Three-fourths of the area of a rectangular lawn 30 feet wide by 40 feet long is to be enclosed by a rectangular fence. If the enclosure has full width and reduced length rather than full length and reduced width, how much less fence will be needed?

A. 5/2
B. 5
C. 10
D. 15
E. 20

Source: Official Guide | Difficulty: Hard
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gmatophobia
DS Question 1 - Dec 19 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: Experts Global | Difficulty: Hard

Yusa
B

DS Question 1 - Dec 20

Flasks M and N contain m and n liters of water respectively. Half of the water in flask M is poured into flask N (without spillage). Then half of the water in flask N is poured into flask M (without spillage). If flask M now contains 2 liters of water, what is the value of m?

(1) m and n are integers

(2) n= 4−(3m/2)

Source: GMATPrepNow | Difficuty: Hard
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If m and n are integers, only one value possible ie, m =2, n =1 ..(1) is sufficient; but (2) is not sufficient..Hence (A) will be the answer
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DS Question 1 - Dec 20 Flasks M and N contain m and n liters of water respectively. Half of the water in flask M is poured into flask N (without spillage). Then half of the water in flask N is poured into flask M (without spillage). If flask M now contains 2 liters of water, what is the value of m? (1) m and n are integers (2) n= 4−(3m/2) Source: GMATPrepNow | Difficuty: Hard

PS Question 1 - Dec 21

If a car had traveled 20 kmh faster than it actually did, the trip would have lasted 30 minutes less. If the car went exactly 60 km, at what speed did it travel?

A. 35 kmh
B. 40 kmh
C. 50 kmh
D. 60 kmh
E. 65 kmh

Source: GMAT Club Tests | Difficulty: Medium
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Ans. B [ 60/40-60/60]=30 min
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Hey Nikhil could you elaborate a bit
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DS Question 1 - Dec 21

If p and q are integers, then what is the units digit of 155^(9q) + 138^p + 146^q

(1) The remainder is 2, when the positive integer p is divided by 8
(2) q is a prime number less than 10

Source: GMAT Whiz | Difficulty : Hard
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Sharma22
Hey Nikhil could you elaborate a bit
let d=60km speed of the car=V km/hr t= d/v
when car travelled in V+20 velcoity it reach 60Km destination in 30 min less than V travelled
so (60/V)-(60/V+20) = 30 min or 0.5 hour
(60/40)-(60/60) = 05 hour or 30 min
hence the answer B
i hope this will help you
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