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Re: A virus sample multiplies itself by becoming \(16\) times itself every hour. But due to anti-agent present in the sy

A virus sample multiplies itself by becoming \(16\) times itself every hour. But due to anti-agent present in the system, only half of them survive every hour. If we start with \(x\) number of virus and after the \(8\) hours there are \(2^{40}\) viruses, what is the value of \(x?\) A. \(2^{16}\) B....


Re: If Ben were to lose the championship, Mike would be the winner with a probability of \(\dfrac14,\) and Rob \(-\dfrac

If Ben were to lose the championship, Mike would be the winner with a probability of \(\dfrac14,\) and Rob \(-\dfrac13.\) If the probability of Ben being the winner is \(\dfrac17,\) what is the probability that either Mike or Rob will win the championship? Assume that there can be only one winner. ...


Re: \(\dfrac{3.003}{2.002} =\)

\(\dfrac{3.003}{2.002} =\) A. \(1.05\) B. \(1.50015\) C. \(1.501\) D. \(1.5015\) E. \(1.5\) Answer: E Source: Official Guide Solution: Approximating, we have: 3/2 = 1.5 Note that the quotient of 3.003/2.002 is exactly 1.5. Since half of 2.002 is exactly 1.001, when me multiply 2.002 by 1.5, we obta...

by Scott@TargetTestPrep

Thu Sep 24, 2020 7:10 am
Forum: Problem Solving
Topic: \(\dfrac{3.003}{2.002} =\)
Replies: 2
Views: 33

Re: Toshi is four times as old as Kosuke. In \(x\) years Toshi will be three times as old as Kosuke. How old is Kosuke,

Toshi is four times as old as Kosuke. In \(x\) years Toshi will be three times as old as Kosuke. How old is Kosuke, in terms of \(x?\) (A) \(2x\) (B) \(3x\) (C) \(4x\) (D) \(8x\) (E) \(12x\) Answer: A Solution: If we let Kosuke’s current age = K, then Toshi’s current age = 4K. In x years, we have: ...


Re: 7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no te

7 teams compete in a track competition. If there are 20 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event? A. 3 B. 4 C. 5 D. 6 E. 7 Answer: E Solution: Let’s say that 6 teams won (the maxi...


Re: If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake'

If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake's present weight, in pounds? (A) 131 (B) 135 (C) 139 (D) 147 (E) 188 Answer: E Solution: We let J = Jake’s current weight and S = Sister’s current weight, in pounds, and create the eq...


Re: A foreign language club at Washington Middle School consists of \(n\) students, \(\dfrac25\) of whom are boys. All o

A foreign language club at Washington Middle School consists of \(n\) students, \(\dfrac25\) of whom are boys. All of the students in the club study exactly one foreign language. \(\dfrac13\) of the girls in the club study Spanish and \(\dfrac56\) of the remaining girls study French. If the rest of...


Re: If \(a\) is the units digit of \(7^{47}\) and \(b\) is the rightmost nonzero digit in \(125^{10}\cdot 28^{15}.\) Wha

If \(a\) is the units digit of \(7^{47}\) and \(b\) is the rightmost nonzero digit in \(125^{10}\cdot 28^{15}.\) What is the value of \(a+b?\) A) 1 B) 2 C) 5 D) 6 F) 8 Answer: D Solution: Recall the units digit pattern of powers of 7 is 7-9-3-1. Since the exponent 47 is 3 more than a multiple of 4,...


Re: A farmer spent $35 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 20% disc

A farmer spent $35 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 20% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount wou...


Re: If \(x\) is not equal to \(0\) and \(x^y=1,\) then which of the following must be true?

If \(x\) is not equal to \(0\) and \(x^y=1,\) then which of the following must be true? I. \(x=1\) II. \(x=1\) and \(y=0\) III. \(x=1\) or \(y=0\) A. I only B. II only C. III only D. I and III only E. None Answer: E Source: GMAT Club Tests Solution: If x is 1, then y can be any number. So statement...


Re: Working at their normal constant rates, 20 diggers can dig a 100-meter long trench in hard soil in 3 days. A constru

Working at their normal constant rates, 20 diggers can dig a 100-meter long trench in hard soil in 3 days. A construction company ordered the diggers to dig a 180-meter long trench in soft soil. If diggers can work 20% faster in soft soil than in hard soil, how many diggers are required to complete...


Re: Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta,

Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, the integer 8 is labeled delta. What is the label on an integer that is the sum of a gamma raised to the se...


Re: The variable \(x\) takes on integer values between \(1\) and \(7\) inclusive as shown above. What is the probability

\(x\) frequency 1 3 2 1 3 3 4 1 5 3 6 1 7 3 The variable \(x\) takes on integer values between \(1\) and \(7\) inclusive as shown above. What is the probability that the absolute value of the difference between the mean of the distribution which is \(4\) and a randomly chosen value of \(x\) will be...


Re: If the average (arithmetic mean) of \(5\) positive temperatures is \(x\) degrees Fahrenheit, then the sum of the \(3

If the average (arithmetic mean) of \(5\) positive temperatures is \(x\) degrees Fahrenheit, then the sum of the \(3\) greatest of these temperatures, in degrees Fahrenheit, could be: A. \(6x\) B. \(4x\) C. \(\dfrac{5x}3\) D. \(\dfrac{3x}2\) E. \(\dfrac{3x}5\) Answer: B Source: GMAT Paper Tests Sol...


Re: Lucy deposited $62500 in an investment fund that provided 16 percent annual return compounded quarterly. If she made

Lucy deposited $62500 in an investment fund that provided 16 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $5100? A. 0.5 B. 2 C. 3 D. 6 E. 6.1 Answer: D Solution: Since the annual...