mathewhe/aqua_rat huggingface dataset:
Question: The Pinedale bus line travels at an average speed of 60 km/h, and has stops every 5 minutes along its route. Yahya wants to go from his house to the Pinedale Mall, which is 10 stops away. How far away, in kilometers, is Pinedale Mall away from Yahya's house?
(A) 20 km
(B) 30 km
(C) 40 km
(D) 50 km
(E) 60 km
Rationale: Number of stops in an hour: 60/5 = 12
Distance between stops: 60/12 = 5 km
Distance between Yahya's house and Pinedale Mall: 5 x 10 = 50 km
IMO, correct answer is "D."
Answer: (D) 50 km
Question: On a test consisting of 30 questions. No. of wrong answers is 50% less than number of right answers. Each answer was either right or wrong. What is the ratio of right answers to wrong answers?
(A) 1 : 3
(B) 1 : 5
(C) 2 : 1
(D) 3 : 1
(E) 4 : 5
Rationale: Sol. Let the number of wrong answer - x and number of right answer = 30-x x = 50/100 of (30-x) x = 10
Required ratio = 20 : 10 = 2 : 1
C
Answer: (C) 2 : 1
Question: If each edge of cube increased by 10%, the percentage increase in
(A) 21
(B) 22
(C) 25
(D) 19
(E) 15
Rationale: 100 × (110)/100 × (110)/100 = 121 => 21%
Answer is A.
Answer: (A) 21
Question: 12, 14, x, 10
The median of the list of positive integers above is 11. Which of the following could be the average (arithmetic mean) of the list?
(A) 3
(B) 5.5
(C) 11
(D) 7
(E) 7.5
Rationale: GivenThe median of the list of positive integers above is 11
So arranging the numbers from lowest to highest, avg of 2 middle terms needs to be 11
so the sequence will be x 10 12 14
Lets say x = 8, which gives us mean = sum/4 = 11
C is correct
Answer: (C) 11
Question: Two cars are 15 kms apart. One is turning at a speed of 50kmph and the other at 40kmph . How much time will it take for the two cars to meet?
(A) 12min
(B) 10min
(C) 14min
(D) 15min
(E) 16min
Rationale: if they are moving in same direction then solution will be
(50-40)*t=15
ans=1.5hours
if they are moving in opposite direction then ans
(50+40)*t=15
ans=1/6 hours=10min
ANSWER:B
Answer: (B) 10min
Question: When positive integer m is divided by positive integer x, the reminder is 7 and when positive integer n is divided by positive integer y, the reminder is 11. Which of the following W is a possible value for x + y?
I. 18
II. 19
III. 20
(A) I only
(B) II only
(C) W=III only
(D) II and III only
(E) None
Rationale: TIP FOR SUCH QUESTIONS:Make Algebraic Equation in the beginning to understand how to proceed further. Then Start thinking the possible values of variables asked about
i.e.When positive integer m is divided by positive integer x, the reminder is 7can be understood as
m = ax +7which means thevalue of x must be greater than 7as the remainder 7 is possible only when the Divisor is bigger than the Remainder 7
i.e. Min Value of x = 8
AND
i.e.When positive integer n is divided by positive integer y, the reminder is 11can be understood as
n = by +11which means thevalue of y must be greater than 11as the remainder 11 is possible only when the Divisor is bigger than the Remainder 11
i.e. Min Value of y = 12
i.e. Minimum Value of x+y = 8+12 = 20
Hence III only can be True
Answer: Option
C
Answer: (C) W=III only
Question: If A : B : C = 2 : 3 : 4, then A⁄B : B⁄C : C⁄A is equal to :
(A) 4 : 9 : 16
(B) 8 : 9 : 12
(C) 8 : 9 : 16
(D) 8 : 9 : 24
(E) None of these
Rationale: Let A = 2x, B = 3x and C = 4x. Then,
A⁄B = 2x⁄3x = 2⁄3, B⁄C = 3x⁄4x = 3⁄4 and C⁄A = 4x⁄2x = 2⁄1
⇒ A⁄B : B⁄C : C⁄A = 2⁄3 : 3⁄4 : 2⁄1 = 8 : 9 : 24
Answer D
Answer: (D) 8 : 9 : 24
Question: Rob has 8 toy trucks. He gives 3 trucks to his best friend as a gift. How many trucks does Rob have left?
(A) 5
(B) 20
(C) 2
(D) 5
(E) 8
Rationale: A. 5
Answer: (A) 5
Question: A car during its journey travels 30 minutes at a speed of 30 kmph, another 30 minutes at a speed of 60 kmph, and 1 hours at a speed of 80 kmph.The average speed of the car is
(A) 63.07 kmph
(B) 64 kmph
(C) 62.5 kmph
(D) 64.02 kmph
(E) None of these
Rationale: First car travels 30 min at speed of 30 kmph
distance = 30 x 1/2 = 15 m
Then car travels 30 min at a speed of 60 kmph
distance = 30 min at speed of 60 kmph
distance = 60 x 1/2 = 30 m
at last it travels 1 hours at speed of 80 kmph
distance = 80 x 1 = 80 m
Total distance = 15 + 30 + 80 = 125
Total time= 1/2 + 1/2 + 1 = 2
Average speed of the car = 125/2 = 62.5
ANSWER:C
Answer: (C) 62.5 kmph
Question: The area of a rectangle is equal to the area of right-angles triangle. What is the length of the rectangle?
I.	The base of the triangle is 40 cm.
II.	The height of the triangle is 50 cm.
(A) I alone sufficient while II alone not sufficient to answer
(B) II alone sufficient while I alone not sufficient to answer
(C) Either I or II alone sufficient to answer
(D) Both I and II are not sufficient to answer
(E) Both I and II are necessary to answer
Rationale: EXPLANATION
Given: Area of rectangle = Area of a right-angles triangle.
⇒l x b =1-div-1/2x B x H
II gives, H = 50 cm.I gives, B = 40 cm.
Thus, to find l, we need b also, which is not given.
Given data is not sufficient to give the answer.
answer is (D).
Answer: (D) Both I and II are not sufficient to answer
Question: Chirag was conducting an experiment in which the average of 11 observation came to be 90. Average of first five observation was 87, and that of the last five was 84. What was the measure of the 6th observation?
(A) 165
(B) 125
(C) 145
(D) 135
(E) None of these
Rationale: Explanation :
11 * 90 - 5 * 87 - 5 * 84 = 900 - 435 - 420 = 135.
Answer : D
Answer: (D) 135
Question: During the break of a football match, the coach will make 3 substitutions. If the team consists of 16 players among which there are 2 forwards, what is the probability that none of the forwards will be substituted?
(A)  21/55
(B)  18/44
(C)  3/20
(D)  28/44
(E)  36/55
Rationale: Required probability = no. of favorable outcome/ total no. of outcomes
out of 16 players any 3 can be selected in 16C3 ways
after removing 2 forwards any 3 players can be selected from the remaining 9 players in 9C3 ways
thus required probability = 9C3/16C3 =3/20
Answer: (C)  3/20
Question: In a primary school, the ratio of the number of girls to boys is 5 : 8. If there are 160 girls, the total number of students in the college is:
(A) 100
(B) 250
(C) 260
(D) 300
(E) 350
Rationale: Let the number of girls and boys be 5x and 8x.
Total number of students = 13x = 13 x 32 = 416.
Answer : D
Answer: (D) 300
Question: A box contains seven bulbs out of which 5 are defective. If five bulbs are chosen at random, find the probability that all the five bulbs are defective?
(A) 1/12
(B) 1/21
(C) 1/19
(D) 1/13
(E) 1/16
Rationale: Out of seven, two are good and five are defective. Required probability
= 5C5/7C5
= 1/21
Answer:B
Answer: (B) 1/21
Question: A dealership needs to fill the empty lot with cars. If separated into to 5 rows, 6 rows, or 7 rows, no cars will be left over. What is the least number of cars needed?
(A) 103
(B) 98
(C) 265
(D) 33
(E) 210
Rationale: To solve you need to find the LCM. LCM (5,6,7)=210. Each row would need 210 cars wether there were 5, 6, or 7 rows. Answer E.
Answer: (E) 210
Question: X and Y invested in a business. They earned some profit which they divided in the ratio of 1 : 2. If X invested Rs.20,000. the amount invested by Y is
(A) Rs.45,000
(B) Rs.40,000
(C) Rs.60,000
(D) Rs.80,000
(E) None
Rationale: Solution
Suppose Y invested Rs.y
Then,	20000 /y = 1 / 2
â€¹=â€º y=(20000Ã—2 / 1).
â€¹=â€º y=40000.
Answer B
Answer: (B) Rs.40,000
Question: A reduction of 20% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
(A) s.42
(B) s.46
(C) s.40
(D) s.41
(E) s.32
Rationale: 800*(20/100) = 160 ---- 5
? ---- 1 => Rs.32
Answer: E
Answer: (E) s.32
Question: If c + xy = c and x is not equal to 0, which of the following must be true?
(A) x=0
(B) x+y=0
(C) y=0
(D) x<0
(E) x=c
Rationale: c + xy = c --> xy=0. Since x is not equal to 0, thus y = 0.
Answer: C.
Answer: (C) y=0
Question: There are 8 people and 3 tables. In how many ways people can occupy the tables?
(A) 336
(B) 840
(C) 560
(D) 740
(E) 800
Rationale: total people = 8
total tables = 3
1st can be occupy in 8ways
2nd can be occupy in 7ways
3rd can be occupy in 6ways
total number of ways = 8*7*6 = 336 ways
correct option is A
Answer: (A) 336
Question: A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:4, and the ratio of soap to salt is five times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. At that time, what is the ratio of water to salt in the solution?
(A) 9:32
(B) 9:30
(C) 32:9
(D) 19:32
(E) 18:30
Rationale: Water:soap = 3:4
Soap:Salt=15:20
=> For 15 soap, salt = 20
=> For 4 Soap, salt = (20/15)*4 = 80/15=16/3
So, water:soap:salt = 3:4:16/3= 9:12:16
After open container, water:soap:salt =4.5:12:16
So, water:salt = 4.5:16 = 9:32
ANSWER:A
Answer: (A) 9:32
Question: Convert the 13/54 m/s into kilometers per hour?
(A) 1.7
(B) 1.5
(C) 0.86
(D) 1.1
(E) 1.2
Rationale: 13/54 m/s = 13/54 * 18/5 = 13/15
= 0.86 kmph.
Answer: C
Answer: (C) 0.86
Question: What is the next number of the following sequence
8, 24, 12, 36, 18, 54, (....)
(A) 27
(B) 108
(C) 68
(D) 72
(E) 62
Rationale: The series is
8*3=24
24/2=12
12*3=36
36/2=18
18*3=54
54/2=27
ANSWER:A
Answer: (A) 27
Question: The H.C.F. and L.C.M. of two numbers are 13 and 5040 respectively If one of the numbers is 144, find the other number
(A) 400
(B) 256
(C) 120
(D) 455
(E) None of these
Rationale: Explanation:
Solve this question by using below formula.
Product of 2 numbers = product of their HCF and LCM
144 * x = 13 * 5040
x = (13*5040)/144 = 455
Option D
Answer: (D) 455
Question: On a certain transatlantic crossing, 30 percent of a ship's passengers held round-trip tickets and also took their cars aboard the ship. If 60 percent of the passengers with round-trip tickets did not take their cars aboard the ship, what percent of the ship's passengers held round-trip tickets?
(A) 33 1/3%
(B) 75%
(C) 50%
(D) 60%
(E) 66 2/3%
Rationale: On a certain transatlantic crossing, 20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets?
Solution: Let total number of passengers be 100
According to Q stem 40% of passengers who had round-trip tics have taken cars - let number of passengers with round trip be X then
40% of X = 30 => X= 75.
Answer B
Answer: (B) 75%
Question: In how many different number of ways 3 boys and 4 girls can sit on a bench such that girls always sit together.
(A) A)720
(B) B)576
(C) C)740
(D) D)780
(E) E)790
Rationale: 576
Option 'B'
Answer: (B) B)576
Question: Which of the following options is the possible total number of people in a hall given that the number of people is a multiple of both 8 and 22.?
(A) 88
(B) 56
(C) 64
(D) 72
(E) 80
Rationale: the number of people are a multiple of both 8 and 22, so it must be divisible by 8 and 22.
using the elimination method look for a number that is both divisible by 8 and 22,
of all the options only 88 is divisible by 8 and 22.
[ 88/8=11 and 88/22=3]
answer :A
Answer: (A) 88
Question: A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 5,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
(A)  1.25%
(B)  3.75%
(C)  6.25%
(D)  6.67%
(E)  11.11%
Rationale: The remaining solution will be approximately what percent sodium chloride?means:what percent of the remaining solution is sodium chloride. Now, since the remaining solution is 10,000-5,500=4,500 gallons and sodium chloride is 500 gallons (5% of initial solution of 10,000 gallons) then sodium chloride is 500/4,500*100=~11.11% of the remaining solution of 4,500 gallons.
Answer: E.
Answer: (E)  11.11%
Question: When average age of 22 members are 0, how many members greater than 0?
(A) 17
(B) 21
(C) 22
(D) 24
(E) 25
Rationale: Average of 22 numbers = 0.
Sum of 22 numbers (0 x 22) = 0.
It is quite possible that 21 of these numbers may be positive and if their sum is a then 22nd number is (-a)
Answer is 21 (B)
Answer: (B) 21
Question: A team has to design a flag. The team has five yellow strips of cloth and six green strips of cloth that they must use as is to make the flag. How many different flags can the team design with the materials at hand?
(A) 120
(B) 144
(C) 256
(D) 462
(E) 600
Rationale: The # of permutations of total 5+6=11 strips where 5 are identical yellow and 6 are identical green is 11!/(5!*6!)=462 (note that they must use all the materials at hand, also I guess that the strips must be either only vertical or only horizontal).
Answer: D.
Answer: (D) 462
Question: If the number 52,1n8, where n represents the tens digit, is a multiple of 3, then the value of n could be which of the following?
(A) 6
(B) 5
(C) 3
(D) 1
(E) 0
Rationale: The sum of the digits 5 + 2 + 1 + n + 8 must be a multiple of 3
16 + n must be a multiple of 3
substituting the numbers n must = 5
Answer B
Answer: (B) 5
Question: If the ratio of the sum of the first 6 terms of a G.P. to the sum of the first 3 terms of the G.P. is 65, what is the common ratio of the G.P?
(A) 4
(B) 1/4
(C) 2
(D) 9
(E) 1/9
Rationale: 65=(a1+a2+a3+a4+a5+a6)/(a1+a2+a3)
Factorize the same terms
65=1+(a4+a5+a6)/(a1+a2+a3)
Write every term with respect to r
a1=a1
a2=a1*r^1
a3=a1*r^2
.........
65=1+(a1(r^3+r^4+r^5))/(a1(1+r^1+r^2))
64=(r^3 (1+r^1+r^2))/((1+r^1+r^2))
64=r^3
r=4
A
Answer: (A) 4
Question: Three people have $36, $72, and $98, respectively. If they pool their money then redistribute it among them, what is the maximum value for the median amount of money?
(A) $103
(B) $85
(C) $98
(D) $101
(E) $202
Rationale: Solution -
Total money distributed is $206. In order to maximize median, one person has to accept $0 and remaining two people share $103 each. Hence median is $103.
ANS A
Answer: (A) $103
Question: All the faces of cubes are painted with red colour.It is then cut into 64 equal small cubes.Find How many small cubes have only one face coloured ?
(A) 4
(B) 8
(C) 16
(D) 24
(E) 2
Rationale: There are 64 small cubes,Hence one side side of the big cube is 3√64=4 cm
Number of small cubes having only one face coloured = (x - 2)2 x No. of faces
= (4 - 2)^2 x 6
= 24
Answer:D
Answer: (D) 24
Question: If Juan takes 16 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
(A) 16x/y
(B) 16y/x
(C) x/(16y)
(D) 16/(xy)
(E) xy/16
Rationale: This problem is testing us on the Rate x Time = Distance relationship. This relationship also tells us that Rate = Distance/Time and Time = Distance/Rate.
Ultimately, we are looking for how many seconds it will take Juan to run x yards. Thus, the equation we’ll use is: Time = Distance/Rate. We know the distance is x yards, and we need to find Juan’s rate.
We can find Juan’s rate as follows: Rate = Distance/Time = y yards/16 seconds
Using that rate, we need to determine how long it takes him to run x yards at the same rate. So we have:
Time = Distance/Rate
Time = x yards/(y yards/16 seconds)
Time = (x yards) x (16seconds/y yards)
Time = 16x/y seconds
Answer A.
Answer: (A) 16x/y
Question: Find the odd man out 2, 3, 6, 15, 52.5, 157.5, 630
(A) 6
(B) 157.5
(C) 15
(D) 3
(E) 52.5
Rationale: 2 x 1.5 = 3
3 x 2 = 6
6 x 2.5 = 15
15 x 3 = 45
ANSWER:E
Answer: (E) 52.5
Question: A man walks at a speed of 5 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
(A) 1 4/5 hours
(B) 2 hours
(C) 2 1/6 hours
(D) 2 1/3 hours
(E) 2 1/2 hours
Rationale: Required time
= (5 1/4)/5 + (5 1/4)/7
= 1 4/5 hours.
Answer:A
Answer: (A) 1 4/5 hours
Question: A straight line in the xy- plane has y-intercept of 49 . On this line the x-coordinate of the point is 71 and y-coordinate is 12 then what is the slope of the line?
(A) 0.5
(B) 0.51
(C) -0.52
(D) 0.31
(E) -0.49
Rationale: Eq of line = Y = MX +C
C= 49
X=71
Y=12
Substitute given:
M = (Y-C) / X = (12 - 49) / 71 = -37/71 = -0.52
correct option is C
Answer: (C) -0.52
Question: Bob and Sue are building a brick wall. They can each lay fifty bricks per hour. If Bob takes a one hour break after every two hours of working, and Sue takes a one-hour break after every three hours of working, how long will it take them to finish the wall if they need to lay 600 bricks to finish the wall?
(A) 6 hours
(B) 7 hours
(C) 8 hours
(D) 9 hours
(E) 10 hours
Rationale: Bob works 2 hours out of every 3. Sue works 3 hours out of every 4. They can each lay 50 bricks per hour of work. Laying 600 bricks will take a total work of 600/50 = 12 hours. After 6 hours, Bob has done 4 hours of work and Sue has done 5 hours of work, for a total of 9 hours. After 7 hours, Bob has done 5 hours of work and Sue has done 6 hours of work, for a total of 11 hours. After 8 hours, Bob has done 6 hours of work and Sue has done 6 hours of work, for a total of 12 hours. Therefore, the answer is C.
Answer: (C) 8 hours
Question: If the side length of Square B is sqrt(5) times that of Square A, the area of Square B is how many times the area of Square A?
(A) 1.5
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: Let x be the side length of Square A.
Then the area of Square A is x^2.
The area of Square B is (sqrt(5)x)^2=5x^2.
The answer is E.
Answer: (E) 5
Question: If a clock strikes 12 in 33 seconds, it will strike 6 in how many seconds?
(A) 33⁄2
(B) 15
(C) 12
(D) 22
(E) None of these
Rationale: In order to strike 12, there are 11 intervals of equal time
= 33⁄11 = 3 seconds each
Therefore, to strike 6 it has 5 equal intervals, it requires 5 × 3 = 15 sec.
Answer B
Answer: (B) 15
Question: What is the average (arithmetic mean) of the numbers 5, 6, 7, 7, 8, and 9?
(A)  4.2
(B)  6.5
(C)  6
(D)  7
(E)  8
Rationale: {5, 6, 7, 7, 8, 9}={7-2,7-1, 7, 7,7+1,7+2} --> the average = 7.
Answer: D.
Answer: (D)  7
Question: (1/2) of a number is 3 more than the (1/6) of the same number?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
Rationale: Take a number as x.
(1/2) of a number is 3 more than the (1/6) of the same number.
i.e., x/2 = 3+(x/6)
=> x/3 = 3
=> x = 9
ANSWER:D
Answer: (D) 9
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
(A) 480
(B) 287
(C) 289
(D) 270
(E) 927
Rationale: 1/x - 1/20 = -1/24
x = 120
120 * 4 = 480
Answer: A
Answer: (A) 480
Question: A part of certain sum of money is invested at 9% per annum and the rest at 15% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
(A) 4:2
(B) 4:8
(C) 5:3
(D) 4:0
(E) 4:9
Rationale: 15:9
= 5:3
Answer: C
Answer: (C) 5:3
Question: A can run 4 times as fast as B and gives B a start of 60 m. How long should the race course be so that A and B might reach in the same time?
(A) 70 m
(B) 60 m
(C) 80 m
(D) 65 m
(E) 75 m
Rationale: Speed of A:Speed of B=4:1
means in a race of 4m A gains 3m.
then in a race of 60m he gains 60*(4/3)
I.e 80m
ANSWER:C
Answer: (C) 80 m
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 250 resolutions?
(A) 352 m
(B) 704 m
(C) 454 m
(D) 186 m
(E) 176 m
Rationale: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 250 resolutions.
= 250 * 2 * 22/7 * 22.4
= 35200 cm
= 352 m
Answer: A
Answer: (A) 352 m
Question: If x is the median of the set {9/2, 10/3, 27/9, 21/5, x}, x could be
(A) 16/5
(B) 17/5
(C) 28/7
(D) 30/7
(E) 31/7
Rationale: The median is the middle number once all the numbers are arranged in increasing/decreasing order.
We see that
10/3 = 3.something,
27/9 = 3.something
21/5 = 4.something
9/2 = 4.something
So x should greater than the smallest two numbers and smaller than the greatest two numbers. We can see that x = 4 is possible. (First look at the simplest option or the middle option since options are usually arranged in increasing/decreasing order)
Answer (C)
Answer: (C) 28/7
Question: 12, 38, 116, 350, 1052, ?
(A) 5815
(B) 3815
(C) 3518
(D) 3158
(E) 1538
Rationale: 12
12 × 3 + 2 = 38
38 × 3 + 2 = 116
116 × 3 + 2 = 350
350 × 3 + 2 = 1052
1052 × 3 + 2 = 3158
Answer is D.
Answer: (D) 3158
Question: A, B and C enter into a partnership. They invest Rs.40,000, Rs.80,000 and Rs.1,20,000 respectively. At the end of the first year, B withdraws Rs.40,000 while at the end of the second year, C withdraws Rs.80,000. In what ratio will the profit be shared at the end of 3 years?
(A) 2 : 3 : 5
(B) 3 : 4 : 7
(C) 4 : 5 : 9
(D) None of these
(E) Cannot be determined
Rationale: Solution
A : B: C	=(40000×36) : (80000×12+40000×24) : (120000×24+40000×12)
=144 :192 :336
= 3 : 4 : 7.
Answer B
Answer: (B) 3 : 4 : 7
Question: Taps A and B can fill a bucket in 12 minutes and 15 minutes respectively. If both are opened and B is closed after 3 minutes, how much further time would it take for A to fill the bucket?
(A) 5min. 50sec.
(B) 5min. 30 sec.
(C) 6 min 36 sec.
(D) 6mins. 32 sec.
(E) 6 min. 15 sec.
Rationale: Explanation:
Part filled in 3 minutes =
3∗(1/12+1/15)=3∗9/60=9/20
Remaining part =1−9/20=11/20
=>1/12:11/20=1:X
=>X=6.6 mins.
=>X=6.6 mins.
So it will take further 6 mins 36 seconds to fill the bucket.
Option C
Answer: (C) 6 min 36 sec.
Question: James took a 3-hour bike ride. In the second hour he traveled 6 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?
(A) 54.0
(B) 54.9
(C) 18.5
(D) 57.0
(E) 63.0
Rationale: Let the distance travelled in the first hour be x. Thus, 1.2x = 6, x = 5. Now, the distance travelled in the 3rd hour = 6+1/4âˆ—6=7.5 The only option ending with a 0.5 in the decimal place is C.
ANSWER:C
Answer: (C) 18.5
Question: Dimitri weighs x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of 2y-y pounds. Which of the following represents Allen’s weight?
(A) y - x/2
(B) 2x - y/2
(C) (y - x)/2
(D) y - 2x
(E) 2x - y
Rationale: These type of multi-variable story problems are usually perfect for TESTing VALUES.
Here, we're told that Dimitri weighs X pounds more than Allen weighs and that they weight a combined TOTAL of 2Y-Y or Y pounds.
IF....
Dimitri = 30
Allen = 20
X = 10
Y = 50
We're asked for Allen's weight, so we're looking for an answer that equals 20 when X = 10 and Y = 50.
Answer A: 50 - (10/2) = 45 NOT a match
Answer B: 20 - (50/2) = -5 NOT a match
Answer C: (50-10)/2 = 20 This IS a match
Answer D: 50 - 20 = 30 NOT a match
Answer E: 20 - 50 = -30 NOT a match
Final Answer:
C
Answer: (C) (y - x)/2
Question: 24 oz of juice P and 25 oz of juice V are mixed to make smothies X and Y . The ratio of p to V in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X?
(A) 5
(B) 10
(C) 15
(D) 20
(E) 25
Rationale: Let us now solve for x:
(4/5)X + (1/6)(49-X) = 24
24x + 5(49-x) = (24)(30)
24x + 245-5x = (24)(30)
19x = 720 -245
19x = 475
x=25
ANSWER:E
Answer: (E) 25
Question: 895.7 – 573.07 – 95.007 = ?
(A) 227.623
(B) 224.777
(C) 233.523
(D) 414.637
(E) None of these
Rationale: Solution
Given expression = 895.7 - (573.07 + 95.007) = 895.7 - 668.077 = 227.623. Answer A
Answer: (A) 227.623
Question: Which is smallest prime number?
(A) 97
(B) 109
(C) 103
(D) 95
(E) 163
Rationale: Answer:A
Answer: (A) 97
Question: The number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively. After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 6:4. As a result of the gift, Kaye had how many more stamps than Alberto?
(A) 80
(B) 85
(C) 65
(D) 55
(E) 50
Rationale: C
K1 = 5x
A1 = 3x
K2 = 5x - 10
A2 = 3x + 10
K2/A2 = 6/4
(5x-10)/(3x+10) = 6/4
4*(5x-10) =6*(3x+10)
20x - 40 = 18x + 60
2x = 100
x = 50
K2 = 5*50 - 10 = 240
A2 = 3*50 + 10 = 160
K2 - A2 = 80
Answer : A
Answer: (A) 80
Question: What distance will be covered by a bus moving at 54 kmph in 30 seconds?
(A) 605
(B) 450
(C) 601
(D) 609
(E) 604
Rationale: 54 kmph = 54 * 5/18 = 15 mps
D = Speed * time = 15 * 30
= 450 m.
Answer: B
Answer: (B) 450