mathewhe/aqua_rat huggingface dataset:
Question: Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
(A) 11
(B) 10
(C) 9
(D) 8
(E) 7
Rationale: (5 + x)/20 + 5/25 = 1 => x = 11 days
ANSWER A
Answer: (A) 11
Question: Of the three-digit integers greater than 900, how many have two digits that are equal to each other and the remaining digit different from the other two?
(A)  94
(B)  82
(C)  80
(D)  45
(E)  36
Rationale: To satify the given condition,
required no. of cases = total numbers - numbers with all digits different - numbers when all three digits are same,
number greater than 700;
total numbers = 1*10*10 = 100
numbers with all digits different = 1*9*8 = 72
numbers when all three digits are same (777) = 1
req. = 100- 72 - 1 = 27
considering the numbers between 700999 = 27*3=95
Answer is 94 ('cause 700 can't be included)
Answer (A).
Answer: (A)  94
Question: The distance between a gym and a pharmacy is approximately 1.2 x 10^5 inches. Which of the following is closest to the distance between the gym and a pharmacy, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)
(A) 3.1
(B) 3.9
(C) 3.7
(D) 4.2
(E) 4.8
Rationale: We know that 1 kilometer = 3.9x10^4 inches. Therefore, we now have a ratio of (1 kilometer/3.9x10^4 inches).
We also know that the distance between the gym and a pharmacy is approximately 1.2 x 10^5 inches. To convert inches to kilometers, we need to multiply 1.2 x 10^5 inches by the ratio we just found out.
kilometers = 1.2 x 10^5 inches x (1 kilometer/3.9x10^4 inches) [note: "inches" cancel out, leaving us with just km]
km = 1.2 x 10^5/3.9x10^4 km
km = 3.08 = 3.1 km
Therefore, we can see that the closest answer is A.
Answer: (A) 3.1
Question: I. x2 + 5x + 6 = 0,
II. y2 + 9y +14 = 0 to solve both the equations to find the values of x and y?
(A) If x < y
(B) If x > y
(C) If x ≤ y
(D) If x ≥ y
(E) If x = y or the relationship between x and y cannot be established.
Rationale: I. x2 + 3x + 2x + 6 = 0
=> (x + 3)(x + 2) = 0 => x = -3 or -2
II. y2 + 7y + 2y + 14 = 0
=> (y + 7)(y + 2) = 0 => y = -7 or -2
No relationship can be established between x and y.
ANSWER:E
Answer: (E) If x = y or the relationship between x and y cannot be established.
Question: On a Saturday night, each of the rooms at a certain motel was rented for either $40 or $60. If 10 of the rooms that were rented for $60 had instead been rented for $40, then the total rent the motel charged for that night would have been reduced by 10 percent. What was the total rent the motel actually charged for that night ?
(A)  $600
(B)  $800
(C)  $1,000
(D)  $1,600
(E)  $2,000
Rationale: Let total rent the motel charge for all rooms =x
If 10 rooms that were rented for 60 $ had instead been rented for 40 $,
then total difference in prices = 20 $ * 10 = 200 $
Total rent the motel charged would have been reduced by 10 %
.10x = 200
=> x= 2000
Answer E
Answer: (E)  $2,000
Question: A boat running downstream covers a distance of 40 km in 2 hours while for covering the same distance upstream,it takes 4 hours.What is the speed of the boat in still water ?
(A) 4 km/hr
(B) 6 km/hr
(C) 8 km/hr
(D) Data inadequate
(E) 15 kmph
Rationale: Solution
Rate downstream =(40/2) kmph = 20 kmph, Rate upstream =(40/4) = 10 kmph.
∴ Speed in still water =1/2(20+10) kmph = 15 kmph.
Answer E
Answer: (E) 15 kmph
Question: A student gets an aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6. If the passing marks are 50% of the maximum marks and each subject has the same maximum marks, in how many subjects did he pass the examinaiton?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: Explanation :
Let the full marks of each subject is 100. So, total marks in 5 subject is 500.
Student gets 60% aggregate marks i.e 60% of 500 = 300.
=> 10x + 9x +8x +7x + 6x = 300
=> 40x = 300.
=> x = 300/40 = 7.5.
Hence,
The marks in first subject = 10x = 7.5 x 10 = 75.
The marks in 2ndsubject = 9x = 7.5 x 9 = 67.5.
The marks in 3rd subject = 8x = 7.5 x 8 = 60.
The marks in 4th subject = 7x = 7.5 x 7 = 52.5.
The marks in 5th subject = 6x = 7.5 x 6 = 45.
Thus , he passed in all 5 subjects.
Answer : D
Answer: (D) 5
Question: if f(f(X))=81. then. value of x=?
when f(X)=2X-1+f(X-1). is not equal to zero and f(X=0)=0
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: f(X=0) = 0
f(X=1) = 2*1-1+f(1-1)
= 2-1+0
= 1
f(X=2) = 2*2-1+f(2-1)
= 4-1+1
= 4
f(X=3) = 2*3-1+f(3-1)
= 6-1+4
= 9
===>f(X=n) = n^2
f(f(X)) = 81
X = sqrt(sqrt(81)) = 3
ANSWER:B
Answer: (B) 3
Question: The ratio of male to female in a class is 6:6. the career preference of the students in the class are to be represented in a circle graph. If the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one third of the males and two-third of the females in the class?
(A) a)180 degree
(B) b) 168 degree
(C) c)191 degree
(D) d)192 degree
(E) e)204 degree
Rationale: here is my approach => males => 6x and females =6x => total =12x
now 12x=> 360
therefore 6x => 180 degree .
P.S => 6x is nothing but total number of students with the given preference
Answer A
Answer: (A) a)180 degree
Question: A shopkeeper buys mangoes at the rate of 6 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
(A) 200%
(B) 75%
(C) 60%
(D) 50%
(E) 100 %
Rationale: The total number of mangoes bought by the shopkeeper be 12.
If he buys 6 a rupee, his CP = 3
He selling at 3 a rupee, his SP = 6
Profit = SP - CP = 6 - 3 = 3
Profit Percent = 3/3 * 100 = 100 %
Answer:E
Answer: (E) 100 %
Question: A firm is comprised of partners and associates in a ratio of 2:61. If 60 more associates were hired, the ratio of partners to associates would be 4:137. How many partners are currently in the firm?
(A) 12
(B) 14
(C) 16
(D) 18
(E) 20
Rationale: The ratio 2:61 = 4:122 so the ratio changed from 4:122 to 4:137.
137-122 = 15 which is 1/4 of the increase in 60 associates.
The ratio changed from 16:488 to 16:548.
Thus the number of partners is 16.
The answer is C.
Answer: (C) 16
Question: x, y, a, and b are positive integers of E. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?
(A) 24
(B) 21
(C) 20
(D) 17
(E) 15
Rationale: x, y, a, and b are positive integers of E. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Answer: E.
Answer: (E) 15
Question: Difference of 2 numbers is 1660. If 7.5% of one number is 12.5% of the other number, find the 2 numbers?
(A) 125,150
(B) 5124,4515
(C) 4150,2490
(D) 3250,4510
(E) 1254,3210
Rationale: Let the numbers be x and y
7.5% of x = 12.5% of y
x = 125y/75 = 5y/3
x-y = 1660
5y/3 - y = 1660
y = 2490
x = 5y/3 = 4150
Answer is C
Answer: (C) 4150,2490
Question: Rahul is younger than Karthi by 7 years. If the ratio of their ages is 7:9, find the age of Rahul
(A) 20
(B) 24
(C) 24.5
(D) 23
(E) 23.5
Rationale: karthi age is x and rahul x-7
=> (x-7)/x = 7/9
=> 9x-63 = 7x
=> 2x = 63
=> x = 31.5
then Rahul age is 31.5- 7 = 24.5
ANSWER C
Answer: (C) 24.5
Question: A cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 8 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
(A) 5.2 hrs
(B) 13.3 hrs
(C) 1.9 hrs
(D) 7.2 hrs
(E) 1.4 hrs
Rationale: Net part filled in 1 hour = (1/5 - 1/8) = 3/40
The cistern will be filled in 40/3 hrs i.e., 13.3 hrs.
Answer:B
Answer: (B) 13.3 hrs
Question: Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
(A) 18% p.a.
(B) 22% p.a.
(C) 20% p.a.
(D) 24% p.a.
(E) None of these.
Rationale: Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year.
Rate of interest = (100 * 240) / (100 * 1) = 20% p.a
ANSWER:C
Answer: (C) 20% p.a.
Question: There are 13 cans in the refrigerator. 7 of them are red and 6 of them are blue. In how many ways we can remove 8 cans so that at least one red and at least one blue cans to remain the refrigerator.
(A) 460
(B) 490
(C) 493
(D) 455
(E) 445
Rationale: Answer: A.
Answer: (A) 460
Question: The average (arithmetic mean) of eight numbers is 8. If 4 is added from each of five of the numbers, what is the new average?
(A) 4.5
(B) 8.9
(C) 10.5
(D) 4.5
(E) 5.6
Rationale: Sum of 8 numbers = 8*8=64
If 4 is added from each of five of the numbers , we added 4*5=20 from the total sum
Sum of 8 number after adding 4 from each of five of the numbers =64+20=84
New average = 84/8=10.5
Answer C
Answer: (C) 10.5
Question: If a committee of 3 people is to be selected from among 6 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
(A) 20
(B) 40
(C) 50
(D) 80
(E) 480
Rationale: Each couple can send only onerepresentativeto the committee. Let's see in how many ways we can choose 3 couples (as there should be 3 members) each to send onerepresentativeto the committee: 6C3=60.
But these 3 chosen couples can send two persons (either husband or wife): 2*2*2=2^3=8.
Total # of ways: 6C3*2^3=480.
Answer: E.
Answer: (E) 480
Question: In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
(A) 10 m
(B) 20 m
(C) 30 m
(D) 40 m
(E) 45 m
Rationale: A - distance of (500 - 140)m =>360 m
A cover 3 m , B covers 4 m => 480 m
when A reaches the winning post B covers 480 m and remains 20 m behind
= > A wins by 20 m
ANSWER B
Answer: (B) 20 m
Question: In a company of 10 employees, 5 employees earn $30,000, 3 employees earn $40,000, and the 2 highest-paid employees earn the same amount. If the average annual salary for the 10 employees is $65,000, what is the annual salary for each of the highest-paid employees?
(A) $190,000
(B) $170,000
(C) $150,000
(D) $130,000
(E) $110,000
Rationale: 5*30,000+3*40,000+2x=10*65,000
2x=650,000-150,000-120,000
2x=380,000
x=190,000
The answer is A.
Answer: (A) $190,000
Question: How many pieces of 75 cm can be cut from a rope 45 meters long?
(A) 30
(B) 40
(C) 60
(D) None
(E) Cannot be determined
Rationale: Explanation :
Total pieces of 75 cm that can be cut from a rope of 45 meters long is
= (45 meters)/(75 cm)
= (45 meters)/(0.75 meters)
= 60
Answer : C
Answer: (C) 60
Question: If grapes are 90% water and raisins are 15% water, then how many kilograms did a quantity of raisins, which currently weighs 12 kilograms, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
(A) 96
(B) 98
(C) 100
(D) 102
(E) 104
Rationale: Let x be the original weight of the grapes.
The weight of the grape pulp was 0.1x.
Since the grape pulp is 85% of the raisins, 0.1x = 0.85(12 kg).
Then x = 8.5*12 = 102 kg.
The answer is D.
Answer: (D) 102
Question: The number 106 can be written as the sum of squares of 3 integers. Which of the following could be the difference between the largest and smallest integers of the 3?
(A) 6
(B) 5
(C) 7
(D) 8
(E) 9
Rationale: Notice that the question asks which of the followingcouldbe the difference between the largest and smallest integers, not must be. The 3 integers could be: +/-4, +/-3 and +/-9, so the difference could be 6, or 12. Since only one of them is among the choices, then it must be the correct answer.
Answer:A
Answer: (A) 6
Question: On a certain transatlantic crossing, 25 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?
(A) 33.3%
(B) 40%
(C) 50%
(D) 60%
(E) 62.5%
Rationale: 0.25P = RT + C
0.6(RT) = no C
=> 0.40(RT) had C
0.25P = 0.40(RT)
RT/P = 62.5%
Answer - E
Answer: (E) 62.5%
Question: A is twice as good as workman as B and together they finish a piece of work in 18 days. In how many days will B alone finish the work.
(A) 27 days
(B) 54 days
(C) 56 days
(D) 68 days
(E) 65 days
Rationale: Explanation:
As per question, A do twice the work as done by B.
So A:B = 2:1
Also (A+B) one day work = 1/18
To get days in which B will finish the work, lets calculate work done by B in 1 day =1/18*1/3=1/54
[Please note we multiplied by 1/3 as per B share and total of ratio is 1/3]
So B will finish the work in 54 days
ANSWER IS B
Answer: (B) 54 days
Question: Juan and his five friends will sit on six fixed seats around a circular table. If Juan must sit on the seat closest to the window and Jamal must sit next to Juan, in how many can Juan and his five friends sit?
(A) 20
(B) 24
(C) 48
(D) 72
(E) 120
Rationale: J = Juan, F = Jamal
Since J is always fixed, set J, set F relative to J, then see how many options there are:
J F 4 3 2 1 = 24 or
F J 4 3 2 1 = 24
24+24=48 … C
ANSWER:C
Answer: (C) 48
Question: If I walk at 5 km/h, I miss the bus by 12 minutes. If I walk at 6 km/h, I reach 15 minutes before the arrival of the bus. How far I walk to reach the bus stand ?
(A) 11.0 km
(B) 13.8 km
(C) 11.5 km
(D) 12.5 km
(E) 13.5 km
Rationale: d = product of speed difference of time /difference of speed
d = 5x6/60[12âˆ’(âˆ’15)/6-5]
[Here, â€“ve sign indicates before the schedule time]
â‡’ d = 13.5 km
Answer E
Answer: (E) 13.5 km
Question: When a positive integer A is divided by 11 and 3, the remainders obtained are 1 and 2, respectively. When the positive integer B is divided by 11 and 3, the remainders obtained are 1 and 2, respectively. Which of the following is a factor of (A - B)?
(A) 14
(B) 28
(C) 33
(D) 42
(E) 49
Rationale: A = 11k+1 = 3j+2
B = 11m+1 = 3n+2
A-B = 11(k-m) = 3(j-n)
A-B is a multiple of both 11 and 3, so it is a multiple of 33.
The answer is C.
Answer: (C) 33
Question: In a group of ducks and cows, the total number of legs are 36 more than twice the number of heads. Find the total number of cows.
(A) 12
(B) 14
(C) 16
(D) 18
(E) 20
Rationale: Let the number of ducks be d
and number of cows be c
Then, total number of legs = 2d + 4c = 2(d + 2c)
total number of heads = c + d
Given that total number of legs are 36 more than twice the number of heads
=> 2(d + 2c) = 36 + 2(c + d)
=> d + 2c = 18 + c + d
=> 2c = 18 + c
=> c = 18
i.e., total number of cows = 18
Answer is D.
Answer: (D) 18
Question: 1100 boys and 700 girls are examined in a test; 31% of the boys and 23% of the girls pass. The percentage of the total who failed is ?
(A) A)63.3%
(B) B)52.4%
(C) C)81.2%
(D) D)75.4%
(E) E)72.11%
Rationale: Total number of students = 1100+700 = 1800
Number of students passed = (31% of 1100+23% of 700) = 341+161 = 502
number of failures = 1298*100/1800= 72.11%
Answer is E
Answer: (E) E)72.11%
Question: The banker's gain on a sum due 3 years hence at 12% per year is Rs. 270. The banker's discount is:
(A) 960
(B) 840
(C) 1020
(D) 760
(E) 920
Rationale: T.D. =(B.G. x 100/R x T)
= Rs.(270 x 100/12 x 3)= Rs. 750.
Therefore, B.D. = Rs.(750 + 270) = Rs. 1020.
Answer is C
Answer: (C) 1020
Question: There are 4 books on fairy tales,5 novels and 3 plays.In how many ways can you arrange these so that books on fairy tales are together,novels are together and plays are together and in the order,books on fairy tales,novels and plays.
(A) 22000
(B) 19261
(C) 17280
(D) 18168
(E) 21671
Rationale: There are 4 books arranged in 4!ways
Similarly,5 novels arranged in 5!ways.
And 3 plays arranged in 3!ways.
Counting principle all of them together can be arranged=4!*5!*3!
=[(4*3*2*1)*(5*4*3*2*1)*(3*2*1)]
=17280 ways
Option C
Answer: (C) 17280
Question: M is the set of all consecutive odd integers between A and B. If B>A>1, and both A and B are even integers, what is the average (arithmetic mean) of M?
(A) (A−B)/2
(B) (A−B)/2 + 1
(C) (A+B−1)/2
(D) (A+B)/2
(E) (A+B+1)/2
Rationale: Let A be 2 and B be 6...as per condition..A and B have to be even...
2,3,4,5 and 6...then M is avg of odd integers...in our case 3+5/2 = 4..
We need to check which option is going to yield 4 and only option D does..
6+2/2 = 4...
Answer option D.
Answer: (D) (A+B)/2
Question: If x represents the sum of the interior angles of a square and y represents the sum of the interior angles of a regular pentagon, then the difference between x and y is equal to the sum of the interior angles of what geometric shape?
(A) Triangle
(B) Square
(C) Rhombus
(D) Trapezoid
(E) Pentagon
Rationale: Sum of angles of square = 180*(4-2) = 360 => using formula sum of angles of polygon = 180*(n-2) where n is the number of sides in a polygon
Sum of angles in Pentagon = 180*(5-2) =540
Difference = 540 - 360 = 180 => Triangle
hence (A).
Answer: (A) Triangle
Question: Bradley owns b video game cartridges. If Bradley’s total is one-third the total owned by Andrew and five times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
(A) (16/3)b
(B) (17/4)b
(C) (13/4)b
(D) (21/5)b
(E) (7/12)b
Rationale: Step 1: Categorize the problem
This problem is testing basic algebra and equations, with an extra layer of complexity by having variables in the answer choices.
Step 2: Think like the test maker
What is the key detail or key details in the problem? The key detail to immediately recognize is that the problem gives you Andrew and Charlie’s totals in relation to Bradley’s total rather than giving you Bradley’s total in relation to the other two; and then the problem asks you to solve the problem in terms of b. This means that you have to relate Andrew and Charlie’s values in relation to Bradley’s total. The test maker is attempting to force you to structure the problem in the opposite way that most people are used to structuring information. By gaining this insight, it makes it easier to solve the problem.
Step 3: Solve the problem
b = Bradley’s total
3b = Andrew’s total
(1/5)b = Charlie’s total
Add each total
b + 3b+ (1/5)b = 4b + (1/5)b = (16/4)b + (1/5)b = (21/5)b
Therefore,choose D.
Answer: (D) (21/5)b
Question: If the volume of two cubes are in the ratio 27:1, the ratio of their edges is:
(A) 3:1
(B) 3:5
(C) 3:8
(D) 3:29
(E) 3:11
Rationale: Let the edges be a and b of two cubes, then
a3b3=271=>(ab)3=(31)3ab=31=>a:b=3:1
Answer: A
Answer: (A) 3:1
Question: The value of (34.31*0.473*1.567)/(0.0673*23.25*7.57) is close to
(A) 2
(B) 1.15
(C) 2.05
(D) 2.15
(E) 2.35
Rationale: (34.31*0.473*1.567)/(0.0673*23.25*7.57) = 25.4303/11.845
= 2.15
ANSWER:D
Answer: (D) 2.15
Question: Cricket match is conducted in US. The run rate of a cricket game was only 3.2 in first 10 over. What should be the run rate in the remaining 40 overs to reach the target of 252 runs?
(A) 6
(B) 6.25
(C) 7.25
(D) 5.5
(E) 8
Rationale: Required run rate = 252 - (3.2 x 10) =	220 = 5.5
40	40
D
Answer: (D) 5.5
Question: Raj is working on a set of Data Sufficiency problems for his December GMAT: a geometry problem, an algebra problem, and a data interpretation problem. He has determined that statement 1 of the geometry problem is insufficient on its own, that both statement 1 and 2 of the algebra problem are insufficient on their own, and that statement 2 of the data interpretation problem is insufficient on its own. If the probabilities are expressed as percents W, approximately how much greater is the probability that all three answers are “C” after Raj figures out that statement 1 of the data interpretation problem is also insufficient on its own?
(A) W=2.3%
(B) W=2.8%
(C) W=3.3%
(D) 5.6%
(E) 8.3%
Rationale: Step 1: Figure out what we need to know.We have two probabilities that we need to figure out: the one before Raj figures out that statement 1 of the data interpretation problem is also insufficient, and the one after. The answer is the difference between them, in the form of a percent.
Step 2: The first probability.
If statement 1 of the geometry problem is insufficient, then the only valid answer choices are B, C, and E; the probability that it is C is 1/3.
If both statements of the algebra problem are insufficient on their own, then the only remaining valid answers are C and E; the probability that it is C is 1/2
If statement 2 of the data interpretation problem is insufficient, then the remaining answers are A, C, and E, and the probability that C is correct is 1/3.
The probability of all three occurring is the product of the probability fractions: (1/3)*(1/2)*(1/3) = 1/18.
Step 3: The second probability.
Only the third problem has changed; if Raj now knows that statement 1 is also insufficient, the valid answer choices are only C and E, leaving a 1/2 probability that the answer is C.
The probability of all three occurring is still the product of those fractions, but this time they are (1/3)*(1/2)*(1/2) = 1/12.
Step 4: The answer.Note that here, as will sometimes happen on the GMAT, values that you compute “along the way” appear as wrong answer choices. This problem calls for the difference between our two numbers,W (1/12)-(1/18) = 1/36, which is a 2.77777% chance, rounded to 2.8% —the correct answer is Choice B.
Answer: (B) W=2.8%
Question: At Company X, senior sales representatives visit the home office once every 15 days, and junior sales representatives visit the home office once every 10 days. The number of visits that a junior sales representative makes in a 2-year period is approximately what percent greater than the number of visits that a senior representative makes in the same period?
(A) 10%
(B) 25%
(C) 33%
(D) 50%
(E) 67%
Rationale: Each 30-day period, senior representatives visit the home office 2 times while junior representatives visit 3 times, thus 50% more.
The answer is D.
Answer: (D) 50%
Question: A survey of n people in the town of Eros found that 50% of them preferred Brand A. Another survey of 130 people in the town of Angie found that 60% preferred Brand A. In total, 55% of all the people surveyed together preferred Brand A. What is the total number of people surveyed?
(A) 50
(B) 100
(C) 150
(D) 260
(E) 250
Rationale: It is simply a weighted average question. Since the given average of 50% and 60% is 55% (right in the middle), it means the number of people surveyed in Eros (n) is same as the number of people surveyed in Angie.
So n = 130
Total = 130 + 130 = 260
Answer (D)
Answer: (D) 260
Question: A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280more at the second station it drops one half the new total and takes twelve more .on arriving at the third station it is found to have 248 passengers. Find the no of passengers in the beginning?
(A) 288
(B) 321
(C) 651
(D) 246
(E) 248
Rationale: Let no of passengers in the beginning be x
After first station no passengers=(x-x/3)+280=2x/3 +280
After second station no passengers =1/2(2x/3+280)+12
½(2x/3+280)+12=248
2x/3+280=2*236
2x/3=192
x=288
Option A is answer
Answer: (A) 288
Question: The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10% respectively. What will be the new ratio?
(A) 21:24
(B) 21:24
(C) 21:22
(D) 21:45
(E) 21:97
Rationale: Originally, let the number of boys and girls in the college be 7x and 8x respectively.
Their increased number is (120% of 7x) and (110% of 8x).
i.e., (120/100 * 7x) and (110/100 * 8x)
i.e., 42x/5 and 44x/5
Required ratio = 42x/5 : 44x/5 = 21:22
Answer: C
Answer: (C) 21:22
Question: The ratio between the sale price and the cost price of an article is 6:2. What is the ratio between the profit and the cost price of that article?
(A) 23
(B) 1:2
(C) 2:5
(D) 3:5
(E) 2:1
Rationale: C.P. = Rs. 2x and S.P. = Rs. 6x.
Then, Gain = Rs. 4x
Required ratio = 4x : 2x = 2:1
E
Answer: (E) 2:1
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 240 meter length?
(A) 65 seconds
(B) 46 seconds
(C) 40 seconds
(D) 97 seconds
(E) 48 seconds
Rationale: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec
Total distance = 360+240 = 600 meter
Time = Distance/speed
= 600 * (2/25)
= 48 seconds
Answer:E
Answer: (E) 48 seconds