MU-NLPC/Calc-aqua_rat huggingface dataset:
A train is moving at a speed of 100 km/hour. The length of the train is 100 metre. In how much time will it cross a pole?
Choose the correct choice from the following answers:
A) 1 second B) 2.5 second C) 4 second D) 3.6 second E) 4.5 second

Solution: In order to cross the pole, the train will need to cover its own length of 100 meter. To cover 100x1000 meter, train takes 60 minutes or 60 x 60 = 3600 second. So, to cover 100 meter, train would take 3600 x 100 / 100 x 1000 = 3.6 second.   Answer: 3.6 second.
Answer: D
If 4x+y=40, 2x-y=20, for integers of x and y, y^2=?
Choose the correct choice from the following choices
A) 2 B) 4 C) 0 D) 10 E) 3

Solution: 4x+y = 40   2x-y = 20   6x = 60   x = 10   y = 0   y^2 = 0   Answer is 0
Answer: C
The difference between a number and its two-fifth is 510. What is 20% of that number?  Select the correct option:	A) 177	B) 170	C) 172	D) 174	E) 171

Solution: Let the number be x. Then,   x - 2/5 x = 510   x = (510 * 5)/3= 
(510 * 5)/3 = 850
850   20% of 850= 170.   Answer:170
Answer: B
A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day? Select the correct option.
A) 22 B) 66 C) 28 D) 41 E) 61

Solution: (1 man + 1 woman)'s 1 day work = (1/3 + 1/4) = 7/12 Work done by 1 man and 1 woman in 1/4 day = (7/12 * 1/4) = 7/48   Remaining work = (1 - 7/48) = 41/48   Work done by 1 boy in 1/4 day = ( 1/12 * 1/4) = 1/48   Number of boys required = 41/48 * 41 = 41.   Answer: 41
Answer: D
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 16 hours respectively. The ratio of their speeds is?  Choose one
A) 4:5
B) 4:2
C) 4:4
D) 4:8
E) 4:1

Solution: Let us name the trains A and B.   Then, (A's speed) : (4:2's speed)   = √b : √a = √16 : √4   = 4:2   Answer: 4:2
Answer: B
In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?
Choose the correct answer:
A) 7787	B) 8000	C) 1988	D) 1277	E) 2081

Solution: x*110/100 * 90/100 = 7920   X*0.99=7920   X=7920/0.99= 
7920/0.99 = 8_000
> 8000   Answer:8000
Answer: B
At 3:00 pm, a car has driven 30 miles east. It will continue to drive east at 0.6 minutes per mile and then turn around and drive at 0.6 minutes per mile back to its original starting point. How far can it drive before turning around in order to arrive back to its original starting point by 3:40 pm?	Choose the correct option: A) a) 10 B) b) 11 C) c) 55/3 D) d) 13 E) e) 14

Solution: 0.8 minutes --> 1 mile   1 minute --> 1/0.6 = 10/6 = 5/3 miles/minute   Distance covered in 40 minutes = 5/3 * 40 = 200/3 miles   Distance covered in the current direction = Distance covered from the opposite direction (since car returns back to starting point)   Let x be the miles driven before turning   30 + x = 200/3 - x   2x = 200/3 -30   x = 55/3   Answer: c) 55/3
Answer: C
In a certain sequence of 9 numbers, each number after the first is 1 more than the previous number. If the first number is −5, how many of the numbers in the sequence are positive?  Choose the correct choice from the following: A) None B) One C) Two D) Three E) Four

Solution: Non - Negative ( zero to positive infinity )   Solution to the question :   -5,-4,-3,-2,-1,0 , 1,2,3   Hence ans is 3 ..option Three
Answer: D
Given the two equations 10r + 5s = 115 and r + 2s = 16, by how much does r exceed s? Choose the correct choice from the following
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: Solve by Simultaneous Equations.   My Answer is E.   r=10   s=3
Answer: E
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $432 per week. How much does she earn in dollars per hour?  Choose the correct choice from the following options: A) 2 B) 8 C) 9 D) 11 E) 12

Solution: Explanation:   Total hours worked = 8 x 3 + 6 x 2 = 36   Total earned = 432. Hourly wage = 432 / 36= 
432 / 36 = 12
12   Answer: 12
Answer: E
Three candidates contested an election and received 1000, 7000 and 100 votes respectively. What percentage of the total votes did the winning candidate get?  Choose the correct choice from the following options
A) 57%	B) 60%	C) 65%	D) 90%	E) 86.4%

Solution: total votes are 8100 ( sum of votes obtained by 3 candidates)   percentage of the total votes recd by the winning candidate = 100*7000/8100 = 86.4%   ANSW86.4%R:86.4%
Answer: E
The area of square ABCD above is 18. The shaded region is the intersection of the square and a circular region centered at C. What is the area of the shaded region?
Options.
A) 18−9/4∗π	B) 18−9/2∗π	C) 9+9/4∗π	D) 9+9/2∗π	E) 9/2−9/4∗π

Solution: =Square - Quarter circle   =18- pi*18/4   =18- pi*9/2   ANSWER:18−9/2∗π
Answer: B
P and Q are the only two applicants qualified for a short-term research project that pays 300 dollars in total. Candidate P has more experience and, if hired, would be paid 50 percent more per hour than candidate Q would be paid. Candidate Q, if hired, would require 10 hours more than candidate P to do the job. Candidate P’s hourly wage is how many dollars greater than candidate Q’s hourly wage?
Pick one:
A) $5
B) $10
C) $15
D) $20
E) $25

Solution: Let Q's hourly wage be x, then P's hourly wage is 1.5x   Let T be the number of hours that Q needs, then P needs T-10 hours to do the job.   Since they both are paid an equal total amount of $300:   x*T=1.5x*(T-10)   T = 30 hours and Q's hourly wage is 300/30= 
300/30 = 10
$10   P's hourly wage is 300/(T-10)= $15 which is $5 per hour more.   The answer is $5.
Answer: A
In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 50 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old? Pick one.
A) A)0.9  B) B)0.6  C) C)0.45  D) D)0.3  E) E)0.25

Solution: Percent of students who are 25 years old or older is 0.5*48+0.2*52=~34, so percent of people who are less than 25 years old is 100-3=66.   Answer: 0.6.
Answer: B
How many numbers from 29 to 79 are exactly divisible by 11	Pick one
A) 5 B) 7 C) 8 D) 9 E) 11

Solution: 29/11 = 2 and 79/11 = 7 ==> 7 - 2= 
7 - 2 = 5
5 Numbers   Option '5'
Answer: A
7 boys take 12 days to complete a job. They worked for 5days, after 5days 2boys left the job. In how many days 5 boys will complete the job ?
Pick one
A) 5 days
B) 6 days
C) 7 days
D) 9 days
E) 9 ⅘ days

Solution: 7 men can do 1/12 of the job per day   So after 5 days they have completed 5/12th job. Still 7/12 part of the job is to be completed.   5 men can do 1/12 × 5/7 = 5/84 of the job per day   So they will take 7/12 × 84 /5 = 9 ⅘ days to complete the job   (9 ⅘ days)
Answer: E
What is the sum of the odd integers from 35 to 55, inclusive?
Choose the correct choice from the following answers:
A) 495
B) 550
C) 555
D) 600
E) 605

Solution: The mean is 45.   Sum=Mean(# of elements)   There are 11 odd numbers between 35-55 inclusive. 11*45=495   495
Answer: A
The average of five results is 46 and that of the first four is 40. The fifth result is?  Answers:	A) 50	B) 88	C) 70	D) 66	E) 51

Solution: 5 * 46 â€“ 4 * 40   = 70   Answer: 70
Answer: C
The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4π·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams W?
Choose the correct answer.
A) W=16
B) W=32
C) 64
D) 128
E) 512

Solution: Weight directly proportional to 4 pi r^2   Now, 4pi is constant, so, weight is directly proportional to r^2.   When radius = 0.15, weight = 8, so (0.15) ^ 2 proportional to 8;   (0.15)^2 * 4 proportional to 8*4, solving further   (0.15)^2 * 2 ^2 = (0.15*2)^2 = 0.3 ^ 2; so answer = 32 (W=32)
Answer: B
An empty pool being filled with water at a constant rate takes 4 hours to fill to 3/5 of its capacity. How much more time will it take to finish filling the pool?	Select.
A) 5 hr 30 min	B) 5 hr 20 min	C) 4 hr 48 min	D) 3 hr 12 min	E) 2 hr 40 min

Solution: (3/5) of a pool/ 4 hours = 3/20 (the rate)   (3 pools/20 hours) = (2/5* pool)/ x hours   Cross multiply 3x = (2/5) 20   x = 2 2/3   2/3 of an hour = 40 minutes   2 hr 40 min
Answer: E
A photo-mat shop charges $0.50 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $52.58 if each film contains 36 photos?  Choose the correct choice from the following answers: A) 4 films and 12 photos B) 5 films and 6 photos C) 5 films and 14 photos D) 6 films and 4 photos E) 6 films and 28 photos

Solution: 1st photo = 0.55   Subsequent = 0.50*0.6= 
0.50*0.6 = 0.3
0.30   Price of 1 full film=0.55+0.33*35= 
0.55+0.33*35 = 12.1
12.1   Price of 4 full film= 12.1*4= 
12.1*4 = 48.4
48.4   52.58-48.4= 
52.58-48.4 = 4.18
4.18   4.18=0.55+0.33x   x=11   52.58--->5 full films and 1+11=14 photos   Answer: 5 films and 14 photos
Answer: C
Positive integer e is divisible by 3. What is the remainder of dividing (4+2e)-e(1+1) by 3? Choose the correct choice from the following options:
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: When we solve the following equations: 10-6 (e=3) or 22-18 (e=9) we end up with 4. Since 4 divided by 3 leaves a remainder of 1 the correct answer is 1.
Answer: B
A car is traveling 60 kilometers per hour. How many meters does the car travel in one minute? Choose the correct choice from the following answers:
A) 1250m/min  B) 1360m/min  C) 1000m/min  D) 1670m/min  E) 1890m/min

Solution: 1000m/minonvert hour into minutes ( 1 hour = 60 minutes) and kilometers into meters (1 km = 1000 m) and simplify   60 kilometers per hour = 60 km/hr   = (60 × 1000 meters) / (60 minutes) = 1,000 meters / minute   correct answer is 1000m/min)1000m/min
Answer: C
A sum of money is divided among A, B, C & D in the ratio 3:5:8:9 respectively. If the share of D Rs.1872 more than the share of A, then what is the total amount of money of B & C together? Answers
A) Rs. 4000  B) Rs. 4056  C) Rs. 5000  D) Rs. 5050  E) Rs. 6500

Solution: Sol. Share of B + C = -3 x (5 + 8) = Rs. 4056   Rs. 4056
Answer: B
find the ratio of 9th and 7th term of sequence 3.1, 5.6, 8.1, .....?
Choose the correct choice from the following
A) 101/91 B) 181/61 C) 247/194 D) 231/181 E) 408/203

Solution: common difference = d = 5.6 - 3.1= 
5.6 - 3.1 = 2.5
2.5 ,, n= 9, a = first term = 3.1-----   By using arithmetic progression , t9 = a + (n-1)*d = 3.1 + (9-1)*2.5 = 3.1+20= 
3.1+20 = 23.1
23.1   Also 7th term , t7= a + (n-1)*d = 3.1 + (7-1) * 2.5= 
3.1 + (7-1) * 2.5 = 18.1
18.1   Ratio= t9/t7 = 23.1/18.1   =231/181 ..... Ans - 231/181
Answer: D
Marc wants to make a minimum net profit of 20% on a his headphones, which he bought for $500. If originally, he was selling the pair at 25% gain, what is the largest discount he can allow?	Choose the correct option:
A) 10% B) 0% C) 5% D) 3% E) 4%

Solution: E   If he bought the headphones at $500, he is currently selling them at (115/100)*500 = $625.   He wants to make a profit of 20%, which means he needs to sell them at   (120/100)*500= 
  (120/100)*500 = 600
$600   The max discount he can allow is thus   ((625-600)/625)*100= 
  ((625-600)/625)*100 = 4
4%
Answer: E
Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Child A has to sit next to both BG, with these two children immediately adjacent to here on either side. The other four children can sit in any order in any of the remaining seats. How many possible configurations Q are there for the children? Choose the correct choice from the following options:  A) 240  B) 480  C) 720  D) 1440  E) 3600

Solution: MAGOOSHOFFICIAL SOLUTION:   First, we will consider the restricted elements — children ABG have to be in three seats in a row. How many “three in a row” seats are there in a row of seven seats?   X X X _ _ _ _   _ X X X _ _ _   _ _ X X X _ _   _ _ _ X X X _   _ _ _ _ X X X   There are five different “three in a row” locations for these three children. Now, for any given triplet of seats, we know A has to be in the middle, so the children could be seated B-A-G or G-A-B — just those two orders. This means the total number of configurations for these three children is 5*2= 
5*2 = 10
10.   Now, consider the non-restricted elements, the other four. Once ABG are seated, the remaining four children can be seated in any order among the remaining four seats — that’s a permutation of the 4 items —- 4P4= 4! = 24. For any single configuration of ABG, there are 24 ways that the other children could be seated in the remaining seats.   Finally, we’ll combine with the Fundamental Counting Principle. We have 10 ways for the first three, and 24 ways for the remaining four. That’s a total number of configurations Q of  24*10= 
 24*10 = 240
240.   240nswer= 240
Answer: A
In a 1000 m race, A beats B by 320 meters or 25 seconds. Find the speed of B? Choices:
A) 8  B) 9  C) 12.8  D) 5  E) 2

Solution: Since A beats B by 320 m or 25 seconds, i   t implies that B covers 320 m in 25 seconds.   Hence speed of B = 320/25= 
320/25 = 64/5 = around 12.8
12.8 m/s.   Answer: 12.8
Answer: C
There are 6 red balls and 4 blue balls in a jar. If 3 balls are selected from the jar, what is the probability that all 3 balls selected are red balls? Pick
A) 1/3	B) 1/6	C) 5/12	D) 5/24	E) 7/24

Solution: The number of ways of choosing 3 balls from the jar is 10C3 = 120.   The number of ways of choosing 3 red balls is 6C3 = 20.   P(3 red balls) = 20/120=1/6.   The answer is 1/6.
Answer: B
If n is a positive integer, which one of the following numbers must have a remainder of 2 when
divided by any of the numbers 4, 5, and 6?
Choose the correct choice from the following answers:
A) 12n + 2
B) 24n + 2
C) 80n + 2
D) 90n + 2
E) 120n + 2

Solution: The numbers 4, 5, and 6 all divide 120 so they all divide 120n.   When we divide (120n + 2) by 4, 5, or 6, the remainder must be 2.   The answer is 120n + 2.
Answer: E
Out of 12 students in a class, 6 are wearing blue shirts, 4 are wearing green shirts, and 2 are wearing red shirts. Four students are to be selected at random. What is the probability that at least one is wearing a green shirt?
Choose the correct choice from the following options
A) 25/33  B) 35/44  C) 65/77  D) 75/88  E) 85/99

Solution: Total possible ways to choose 4 students out of 12 = 12C4 = 495   The number of ways to choose 4 students with no green shirts = 8C4 = 70   P(no green shirts) = 70/495 = 14/99   P(at least 1 green shirt) = 1 - 14/99 = 85/99   The answer is 85/99.
Answer: E
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? Choose the correct option:  A) 150  B) 200  C) 180  D) 250  E) 230

Solution: speed = (60*5/18) = 50/3   length = (speed*time)   length = (50/3*9)= 
(50/3*9) = 150
150 m   150NSWER 150
Answer: A
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 67 kg. What is the weight of the new person?
Choose the most appropriate option.
A) 75 B) 65 C) 87 D) 95 E) 80

Solution: Total increase in weight = 8 × 2.5 = 20   If x is the weight of the new person, total increase in weight = x−67   => 20 = x - 67   => x = 20 + 67= 
20 + 67 = 87
87   Answer is 87.
Answer: C
If p/4 = r/2 and r = 0.75s, what is the ratio of p to r to s?	Choices
A) 2 : 3 : 4	B) 8 : 12 : 9	C) 12 : 6 : 8	D) 6 : 4 : 3	E) 12 : 8 : 3

Solution: p/4=r/2, r=0.75s, what is p:r:s?   we get p/r=4/2 and r/s=3/4, so   4/3*3/2 and 2/2*3/4   12/6 and 6/8   12 : 6 : 8
Answer: C
X and Y are both integers. If X/Y = 59.80, then what is the sum of all the possible two digit remainders of X/Y?  Choose the correct choice.
A) 560 B) 616 C) 672 D) 200 E) 1024

Solution: Remainder = 0.80= --> 80/100 --> Can be written as (80/4) / (100/4) = 20/25   So remainders can be 20, 40, 60, 80   We need the sum of only 2 digit remainders --> 20 + 40 + 60 + 80 = 200   Answer: 200--  20 + 40 + 60 + 80= 
--  20 + 40 + 60 + 80 = 200
200   Answer: 200
Answer: D
The last time Rohit bought Diwali cards, he found that the four types of cards that he liked were priced Rs.9.00, Rs.7.00, Rs.4.50 and Rs.5.50 each. As Rahul wanted 30 cards, he took five each of two kinds and ten each of the other two, putting down the exact number of 10 rupees notes on the counter payment. How many notes did Rohit give? Choose the correct option.
A) 15	B) 10	C) 22	D) 20	E) 18

Solution: Explanation :   Let the four cards be a, b ,c and d. 'x' be the number of notes.   Then, according to the question,   => 5a + 5b + 10c + 10d = 10*x.   => a + b + 2(c+d) = 2 * x . -----------------------------(i)   Since, a + b = 9+7= 
9+7 = 16
16   And,=> c + d = 4.50+5.50= 
4.50+5.50 = 10
10 .   Putting these values in (i), we get :-=> 16 + 2 *10 = 2 * x.   => x = 18.   Answer :18
Answer: E
2/3rd of the boys and 3/4th of the girls of a school participate in a function. If the no.of participating students is 550, out of which 150 are girls, what is the total no.of students in the school?
Select
A) 500	B) 600	C) 800	D) 900	E) 1000

Solution: Let total number of boys be x and total number of girls be y. y=400=>x = 600and^= I50=>y = 200 Now, x + y = 800   800
Answer: C
When x is divided by y, the quotient is t with remainder r. What is x in terms of r, y, and t? Choose the correct choice from the following choices:
A) y + r + t
B) yt + r
C) x/y+r
D) y/t+r
E) rt + y

Solution: (x/y) = t + r   solve for x   x=(t*y)+r   Ans yt + r.
Answer: B
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?  Choices
A) 288  B) 744  C) 788  D) 298  E) 177

Solution: W = 62% L = 38%   62% - 38% = 24%   24% -------- 288   62% -------- ?  62  - 38= 
 62  - 38 = 24
24%   24% -------- 288   62% -------- ?=> 744   Answer: 744
Answer: B
A group of 12 girl scouts had enough food to last for 8 days when they arrived in camp. However, 4 more scouts joined them without the amount of food being increased. How long will the food last if each scout is given the same daily ration as originally planned? Choose the correct choice from the following choices.
A) 2
B) 3
C) 4
D) 5
E) 6

Solution: (M1*D1)/W1 = (M2*D2)/W2   here W1 = W2 (food)   M1 = 12   D1 = 8   M2 = 12+4= 
12+4 = 16
16   so (12*8)= (16*D2)   D2 = 6   ANSW6R:6
Answer: E
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective. Select:
A) 1/166
B) 1/129
C) 1/526
D) 1/121
E) 1/126

Solution: Out of nine, five are good and four are defective. Required probability = 4C4/9C4 = 1/126.Answer: 1/126
Answer: E
The value for S=(0.889 × 55)/9.97 to the nearest tenth is Choose the most appropriate option:
A) 0.5	B) 4.63	C) 4.9	D) 7.7	E) 49.1

Solution: if we read the Q, we can easily home on to the answer,,   the numerator is clearly between 40 and 50..   denomiator is close to 10..   so S=(0.889 × 55)/9.97 is between 4 and 5..   It may tempt us to solve it since ther are two values between 4 and 5..   but the catch is innearest tenth   4.63 can be called nearest to hundreth and no tenth, so can be eliminated..   4.9 is our answer...   4.9
Answer: C
In a class of 20 students, 2 students did not borrow any books from the library, 10 students each borrowed 1 book, 5 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed? Choose the correct choice from the following answers:  A) 12  B) 13  C) 14  D) 15  E) 16

Solution: The total number of books the students borrowed is 20*2= 
20*2 = 40
40.   The students who borrowed zero, one, or two books borrowed   10*1+5*2= 
  10*1+5*2 = 20
20 books.   The 3 students who borrowed at least three books borrowed   40-20= 
  40-20 = 20
20 books.   If 2 of these students borrowed exactly 3 books, then the maximum that one student could have borrowed is  20-6= 
 20-6 = 14
14 books.   The answer is 14.
Answer: C
A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 20 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the level of the field will raise by nearly?
Choose the correct choice from the following answers:
A) 1390 B) 2887 C) 2667 D) 1898 E) 1671

Solution: 2(25 * 15 + 15 * 8 + 25 * 8)   2(375 + 120 + 200) => 1390   1390nswer: 1390
Answer: A
The below sequence is a bit tricky. Can you solve it to find the next number?
5, 25, 325, 4325, ?  Choose the correct choice
A) 29816	B) 38291	C) 54325	D) 38290	E) 55291

Solution: C   54325   Consider 1 = 5   2 = 25   3 = 325   4 = 4325   Then 5 = 54325   See the pattern. With every digit, the previous numbers are added after that digit   So the next number in the series is 54325
Answer: C
Solve the equation for x : 19(x + y) + 17 = 19(-x + y) - 21 Choose the correct choice.
A) -1 B) -9 C) -7 D) -2 E) -4

Solution: Explanation:   19x + 19y + 17 = -19x + 19y - 21   38x = -38 => x = -1   -1nswer:-1
Answer: A
In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class? Choose the correct option:  A) 12 Years  B) 12.6 Years  C) 13 Years  D) 13.5 Years  E) None

Solution: Total age of 50 students   (30X 13+20 X 12) = 630   Average = 630/50= 
630/50 = 63/5 = around 12.6
12.6 Years   12.6 Years
Answer: B
Carl is facing very difficult financial times and can only pay the interest on a $30,000 loan he has taken. The bank charges him a quarterly compound rate of 10%. What is the approximate interest he pays annually?  Pick:
A) $1200  B) $2000  C) $2150  D) $2500  E) $12000

Solution: Usually, you are given the annual rate of interest and it is mentioned that it is annual rate.   The bank charges him a quarterly compounded ANNUAL rate of 40%.   Here you find per quarter rate as  (40/4)= 
 (40/4) = 10
10%   I have actually never seen a question with quarter rate given but since this question did not mentionannual rate of interestand since the options did not make sense with 5% annual rate of interest, it is apparent that the intent was a 10% quarterly rate. So the bank charges 10% every quarter and compounds it in the next quarter. Had it been a simple quarterly rate, we would have just found 4 * 10% of 30,000= $12000 as our answer.   But since, the interest is compounded, it will be a bit more than $12000. Option ($12000) looks correct.
Answer: E
Someone on a skateboard is traveling 13 miles per hour. How many feet does she travel in 25 seconds? (1 mile = 5280 feet)
Pick
A) 476.75 ft B) 450 ft C) 480 ft D) 490 ft E) 500 ft

Solution: per second => 13*5280 ft/60*60 =19.07 ft   25 seconds => 19.07 * 25= 
19.07 * 25 = 476.75
476.75 ft   476.75 ftnswer : 476.75 ft
Answer: A
If a, b, and c are consecutive positive integers and a < b < c, which of the following must be true?
I. c - a = 2
II. abc is an even integer.
III. (a + b + c)/3 is an integer.
Select the correct option.
A) I only
B) II only
C) I and II only
D) II and III only
E) I, II, and III

Solution: Since a, b, and c are consecutive positive integers and a < b < c, then c = a + 2, from which it follows that c - a = 2. So, I is true.   Next, out of 3 consecutive integers at least 1 must be even, thus abc=even. II is true.   Finally, since b = a + 1, and c = a + 2, then (a + b + c)/3 = (a + a + 1 + a + 2)/3 = a + 1 = integer. III is true as well.   Answer: I, II, and III.
Answer: E
A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?  Choose the correct answer
A) 6	B) 2	C) 3	D) 4	E) 98

Solution: Work done by A in 2 days = 2/5   Remaining work = 3/5   Work done by both A and 2 in one day = 1/5 + 1/10 = 3/10   Remaining work = 3/5 * 10/3= 
3/5 * 10/3 = 2
2 day   Answer: 2
Answer: B