MU-NLPC/Calc-aqua_rat huggingface dataset:
Tough and Tricky questions: Word Problems.
A salesman's income consists of commission and base salary. His weekly income totals over the past 7 weeks have been $406, $413, $420, $436, $395, $410, $360. What must his average (arithmetic mean) income over the next two weeks be to decrease his average weekly income to $400 over the 9-week period?  Options:
A) $360 B) $380 C) $430 D) $290 E) $520

Solution: OFFICIAL SOLUTION:   (B) First, we need to add up the wages over the past 7 weeks: $406 + $413 + $420 + $436 + $395 + $410 + $360 = $2840.   To average $400 over 9 weeks, the salesman would need to earn: $400 × 9 406 +  413 +  420 +  436 +  395 +  410 +  360= 
406 +  413 +  420 +  436 +  395 +  410 +  360 = 2_840
$2840.   To average $400 over 9 weeks, the salesman would need to earn: $400 × 9= $3600.   Subtract $2840 from $3600 to determine how much he would need to earn, in total, over the next 2 weeks to average $400 for the 9 weeks: $3600 – $2840 = $760.   Dividing $760 by 2 will give us the amount he needs to earn on average over the next 2 weeks: $760/2= 
760/2 = 380
$380.   The correct answer is choice ($380).
Answer: B
In order to obtain an income of Rs. 600 from 12% stock at Rs. 106, one must make an investment of Choose one.
A) 5363
B) 6240
C) 2368
D) 7632
E) 7732

Solution: To obtain Rs. 10, investment   = Rs. 106.   To obtain Rs. 600, investment =   = Rs. 7632   Answer: 7632
Answer: D
What are the odds that you will draw a Queen or Spades from a well-shuffled standard deck of cards?
Choose one: A) 1 in 13 B) 1 in 12 C) 1 in 5 D) 4 in 52 E) 4 in 13

Solution: Using a simple equation with a common denominator being the number of cards in the deck (52), the equation can be written this way:   13/52 + 4/52 = 17/52   17/52 - 1/52 = 16/52   16/52 = 4/13   Correct answer is 4 in 13.
Answer: E
Truck P and Truck Q drive on the highway in the same direction at respective rates of 72 kph and 80 kph. If Truck Q is 5 km behind Truck P, by how much does Truck P need to increase the speed to catch up with Truck P in 20 minutes?  Answers:	A) 6 kph	B) 7 kph	C) 8 kph	D) 9 kph	E) 10 kph

Solution: Truck Q needs to gain 5 km in 20 minutes.   The relative speed difference needs to be 5 km / 20 minutes = 15 km/hour   Truck Q needs to increase up to 87 kph, thus an increase in 7 kph.   The answer is 7 kph.
Answer: B
The ratio of two numbers is 3:4 and their H.C.F. is 4. Their L.C.M. is?	Choose the correct answer.
A) 12	B) 16	C) 24	D) 48	E) None of these

Solution: Let the numbers be 3x and 4x. Then, their H.C.F. = x., So, x=4   so, the numbers are 12 and 16.   L.C.M. of 12 and 16=48.   Correct Option: 48
Answer: D
A lady builds 7cm length, 18cm width, and 3cm height box using 9cubic cm cubes. What is the minimum number of cubes required to build the box? Select the correct option: A) 42 B) 45 C) 47 D) 49 E) 56

Solution: Number of cubes required = Volume of box/Volume of cube   = 7*18*3/9= 
7*18*3/9 = 42
42 cubes   42NSWER:42
Answer: A
In 1990 a total of c earthquakes occurred worldwide, some but not all of which occurred in Asia. If e o f these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
Choose the most appropriate option.
A) c/e
B) e/c
C) e/(c-e)
D) c/(c-e)
E) 1- (e/c)

Solution: We're given a couple of facts to work with:   1) There were a total of c earthquakes   2) Of those earthquakes, e of them occurred in Asia   We're asked for the ratio of the number of earthquakes that occurred IN ASIA to the number of earthquakes that DID NOT occur in Asia.   Let's TEST VALUES   c = 5 total earthquakes   e = 2 occurred in Asia   Thus, there were 3 earthquakes that DID NOT occur in Asia....   The answer to the question is 2:3   We just need to plug in the values for c and e and find the match...   Answer A: c/e = 5/2 NOT a match   Answer B: e/c = 2/5 NOT a match   Answer e/(c-e): e/(c-e) = 2/(5-2) = 2/3 This IS a match   Answer D: c/(c-e) = 5/(5-2) = 5/3 NOT a match   Answer E: 1 - (e/c) = 1-2/5 = 3/5 NOT a match   e/(c-e)
Answer: C
A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit?	Choose the correct choice from the following choices:
A) 3029	B) 3199	C) 3120	D) 3000	E) 3123

Solution: A:B:C = 5:6:4   Let the total profit = 100 - 30= 
100 - 30 = 70
70   5/15 * 70= 70/3   A share = 70/3 + 30 = 160/3   B + C share = 100 - 160/3 = 140/3   A-(B+C) = 160/3 - 140/3 = 20/3   20/3 ---- 200   100 ---- ? => 3000   Answer:3000
Answer: D
Sheik Abdullah decides to buy 2 new cars for his collection. If he has to choose between eight different cars, what is the number of purchasing possibilities he has? Choose the correct choice from the following options.
A) A)148
B) B)158
C) C)168
D) D)178
E) E)188

Solution: Sheik Abdullah decides to buy 2 new cars for his collection. He has to choose between eight different cars   81683= 8*7*6/(2*1)= 
8*7*6/(2*1) = 168
168 ANS:168
Answer: C
If n is a positive integer and n^2 is divisible by 72, then the largest positive integer M that must divide n is?  Choose one:	A) 6	B) 12	C) 24	D) 36	E) 48

Solution: Q: If n is a positive integer and n^2 is divisible by 72, then the largest positive integer M that must divide n is:   A 6, B 12, C 24, D 36, E 48   n^2 is divisible by 72, but it must also be greater than 72. If n is an integer, then n^2 must be a perfect square. The factorization of 72 is (8)(9), so if it is multiplied by 2, it will be (2)(8)(9) = (16)(9) = 144, a perfect square. So n^2 must be at least 144 or a multiple of 144, which means that n must be 12 or a multiple of 12.12
Answer: B
A certain company expects quarterly earnings of $0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. If earnings are greater than expected , shareholders will receive an additional $0.04 per share for each additional $0.10 of per share earnings. If quarterly earnings are $1.10 per share, what will be the dividend paid to a person who owns 400 shares of the company's stock?	Choose the correct choice from the following options
A) $208  B) $96  C) $104  D) $120  E) $240

Solution: EPS Actual> EPS expected.   each gets and additional .12 per share.   Thus .52*400 --> $208   answer is $208
Answer: A
Alfred buys an old scooter for $4700 and spends $800 on its repairs. If he sells the scooter for $6000, his gain percent is? Choose the correct choice from the following answers:
A) 9.1%	B) 6.23%	C) 7%	D) 8.12%	E) 10%

Solution: C.P. = 4700+800= 
4700+800 = 5_500
$5500   S.P.= $6000   Gain = 6000-5500= 
6000-5500 = 500
$500   Gain%= 500/5500 * 100 = 9.1%   9.1%nswer is 9.1%
Answer: A
An unbiased die is tossed .find the probability of getting a multiple of 3	Choose the correct choice from the following choices:
A) 3/4
B) 1/3
C) 2/7
D) 1/7
E) 1/6

Solution: Here S={1,2,3,4,5,6}   Let E be the event of getting the multiple of 3   then ,E={3,6}   P(E)=n(E)/n(S)=2/6=1/3   Option 1/3
Answer: B
If the operation ∆ is defined by a ∆ b = (b - a)^2/a^2 for all numbers a and b, and a ≠ 0, then what is the result when we evaluate this expression: (-2) ∆ (2 ∆ −2) ? Select the correct option:
A) −1
B) 0
C) 1
D) 9
E) 25

Solution: (-2) ∆ (2 ∆ − 2) =   (-2) ∆ (4^2/2^2) =   (-2) ∆ (4) =   (-6^2) / (-2)^2 = 9   The answer is 9.
Answer: D
What is the difference between the place value and the face value of 6 in the numeral 296827?	Pick:
A) None of these	B) 5999	C) 994	D) 5994	E) 995

Solution: Explanation:   Place value of 6 = 6000   Face value of 6 = 6   5994ifference = 6000 - 6= 
6000 - 6 = 5_994
5994   Answer: 5994
Answer: D
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?	Choices:
A) Rs.3944	B) Rs.3921	C) Rs.3927	D) Rs.3297	E) Rs.3929

Solution: Let the side of the square plot be a ft.   a2 = 289 => a = 17   Length of the fence = Perimeter of the plot = 4a = 68 ft.   Cost of building the fence = 68 * 58 = Rs.3944.   Rs.3944nswer: Rs.3944
Answer: A
The greatest possible length which can be used to measure exactly the length 7m, 3m 85cm, 11m 95 cm is
Choose the correct choice from the following options.
A) 2
B) 7
C) 5
D) 8
E) 9

Solution: Explanation:   Required Length = H.C.F of 700 cm, 385 cm and 1195 c   = 5 cm.   Answer: 5)5 cm
Answer: C
In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.24, then how many cents does a liter of kerosene cost? [One dollar has 100 cents.]
Options:
A) 0.32 B) 0.44 C) 32 D) 44 E) 55

Solution: A dozen eggs cost as much as a pound of rice --> 12 eggs = 1 pound of rice = 24 cents;   A half-liter of kerosene costs as much as 8 eggs --> 8 eggs = 1/2 liters of kerosene.   How many cents does a liter of kerosene cost --> 1 liter of kerosene = 16 eggs = 16/12*24= 
16/12*24 = 32
32 cents.   Answer: 32.
Answer: C
8873 + x = 13200, then x is ?  Answers
A) 3327  B) 4327  C) 3337  D) 2337  E) None of these

Solution: Answer   x = 13200 - 8873= 
13200 - 8873 = 4_327
4327   Option: 4327
Answer: B
If Compound Interest on a certain sum for 2 years at 5% p.a. is Rs.328, the Simple interest will be ?
Choose one:	A) Rs. 320	B) Rs. 321	C) Rs. 322	D) Rs. 323	E) Rs. 324

Solution: Solution:   Suppose, Compound Interest for first year = Rs. 100   Then, Compound Interest for second year =100 + 5% (100) = Rs. 105   Total Compound Interest for two years = (Rs. 100 + Rs. 105) = Rs. 205   And Simple Interest for two years = 2 x Rs. 100 = Rs. 200   If Compound Interest is Rs. 205, Simple Interest = Rs. 200   If compound interest is Rs.1, then simple interest = 200/205   If Compound Interest is Rs. 328, Simple Interest = Rs.328×200/205= Rs. 320   Rs. 320nswer Rs. 320
Answer: A
In a camp, there is a meal for 60 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?	Choices:
A) 41
B) 16
C) 18
D) 20
E) 15

Solution: E   15   There is a meal for 200 children.   150 children have taken the meal.   Remaining meal is to be catered to 50 children.   Now, 200 children 60 men.   50 children = (60/200)x 50 = 15 men.
Answer: E
The set X consists of the following terms: {4,44,444,4444,.....}, where the nth term has n 4's in it for example 10th term is 4444444444. What is the hundreds digit of the sum of the first 65 terms of set X?	Pick one:  A) 0  B) 2  C) 4  D) 6  E) 8

Solution: 65*4 + 64*40 + 63*400 = 260 + 2560 + 25200= 
260 + 2560 + 25200 = 28_020
28020   The hundreds digit is 0.   The answer is 0.
Answer: A
An article is sold at a certain price. By selling it at 2/3 of that price one loses 10%. Find the gain percent at original price?  Options:
A) 25%	B) 20%	C) 35%	D) 40%	E) 50%

Solution: Let the original S.P. be $x   Then, New S.P. = $ 2/3 x   Loss = 10%   C.P. = 100/90 * 2/3 x = 20x/27   C.P. = 20x/27   Gain = x - 20x/27 = 7x/27   Gain% = 7x/27 * 27/20x * 100 = 35%   Answer is 35%7 /27 * 27/20  * 100= 
7 /27 * 27/20  * 100 = 35
35%   Answer is 35%
Answer: C
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?  Choose the correct option:
A) 17/90
B) 87/20
C) 17/28
D) 17/20
E) 57/20

Solution: n(S) = 20   n(Even no) = 10 = n(E)   n(Prime no) = 8 = n(P)   P(EᴜP) = 10/20 + 8/20 - 1/20 = 17/20   Answer: 17/20
Answer: D
In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?	Choose the correct choice from the following answers.
A) 170	B) 180	C) 200	D) 1680	E) 220

Solution: Option '1680'   8p4 = 8 x 7 x 6 x 5 = 1680
Answer: D
A company, Chauncy Co., has an annual travel budget of $58,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?
Choices.
A) Expenses will not go over the budget.
B) $2,725
C) $4,225
D) $5,725
E) $60,725

Solution: annual travel budget of $58,000   Let, Transportation expenses = T = 19500   and Non-Transportation expenses = N=35000   i.e. Increased Transportation expenses = 1.05T = 20475   and Increased Non-Transportation expenses = 1.15N = 40250   Total Expense = 20475+40250= 
20475+40250 = 60_725
60725   Expense over $2,725udget= $2,725udget - expense = 55000-60725 = 2725   Answer: Option $2,725
Answer: B
In a class there are 60% of girls of which 25% poor. What is the probability that a poor girl is selected is leader?  Choose the correct choice from the following answers:
A) 22
B) 15
C) 77
D) 17
E) 11

Solution: Assume total students in the class = 100   Then Girls = 60% (100) = 60   Poor girls = 25% (60) = 15   So probability that a poor girls is selected leader = Poor girls / Total students = 15/100 = 15%   Answer:15
Answer: B
Find the middle one when The sum of three consecutive even numbers is 36?
Choose the most appropriate option:
A) 10 B) 12 C) 14 D) 15 E) 18

Solution: 3 consecutive numbers can be a - 1, a, a + 1   So sum of numbers = 3a = 36.   Hence a = 12.   12
Answer: B
Sum of two numbers prime to each other is 12 and their L.C.M. is 35. What are the numbers?
Select the correct option
A) 8 and 4 B) 7 and 5 C) 6 and 5 D) 8 and 5 E) 6 and 5

Solution: As two numbers are prime, only options satisfy ie option 7 and 5 and C and D,E   but option A will not make the product of numbers i.e 35   ANSWER:7 and 5
Answer: B
If the charge of staying in a student youth hostel $18.00/day for the first week, and $14.00/day for each additional week, How much does it cost to stay for 23 days?	Choose the correct answer.
A) $160  B) $350  C) $282  D) $274  E) $286

Solution: Total number of days of stay = 23   Charge of staying in first week = 18*7= 
18*7 = 126
126 $   Charge of staying for additional days=(23-7)*14 = 16*14= 
16*14 = 224
224 $   Total charge=126 +224= 
126 +224 = 350
350$   Answer $350
Answer: B
The difference of 6 hours 45 minutes and 3 hours 15 minutes is approximately what percent of a day?  Choose the correct choice from the following answers.
A) approx 15%  B) approx 16%  C) approx 24%  D) approx 28%  E) approx 72%

Solution: Since the question is asking for an approximate percentage   6:45 - 3:15 ~ 3:30 hours   % of day = 3.5*100/24 ~ 15%   approx 15%nswer is approx 15%.
Answer: A
A and B together have Rs. 1210. If of A's amount is equal to of B's amount, how much amount does B have?  Options.
A) 484 B) 448 C) 844 D) 848 E) 884

Solution: 4/15 A = 2/5 B   A = (2/5 x 15/4)B   A = 3/2 B   A/B = 3/2   A : B = 3 : 2.   Therefore, B's share = Rs. (1210 x 2/5)= Rs. 484.   484nswer is 484.
Answer: A
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 9 years and that for 15 years?
Pick:
A) 2:6 B) 3:5 C) 1:4 D) Data inadequate E) None of these

Solution: Let the principal be P and rate of interest be R%.   ∴ Required Ratio = [(P×R×9/100) /(P×R×15/100)]=9PR/15PR=9/15=3:5   Answer 3:5
Answer: B
5% people of a village in a country died by violence, 15% of the remaining left the village on account of fear. If now the population is reduced to 3553, how much was it at the beginning?  Options.
A) 5000 B) 4400 C) 3400 D) 5500 E) 6000

Solution: x=> x*95/100*85/100 = 3553   = x = 4400   ANSWER 4400
Answer: B
In what time will a train 100 m long cross an electric pole, it its speed be 90 km/hr?  Answers:
A) 2.5 sec
B) 2.8 sec
C) 8.5 sec
D) 2.2 sec
E) 4 sec

Solution: Speed = 90 * 5/18= 
90 * 5/18 = 25
25 m/sec   Time taken= 100/25= 
100/25 = 4
4 sec.   Answer:4 sec
Answer: E
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 8 boys when a boy gets any no. of prizes?	Select:
A) 55
B) 512
C) 510
D) 540
E) 70

Solution: Ans.(B)   Sol. In this case, repetitions are allowed, so all the three prizes can be given in 8 ways, i.e. (8 x 8x 8) ways = 83 ways = 512 ways Or nr ways = 83 ways = 512 ways
Answer: B
The train consists of 6 carriages, 20 meters long each. The gap between the carriages is 1 meter. If the train is moving at a constant speed of 60 km/h, how much time will it take the train to run through a 1 kilometer tunnel?
Choose the most appropriate option
A) 1^1/8 minutes	B) 1^1/2minutes	C) 1^3/4 minutes	D) 2 minutes	E) 2^1/4 minute

Solution: The length of the train is 6∗20 plus five 1 meter gaps, so it's 6∗20+5=125 meters;   The length that should be traveled by train is  1+0.125= 
 1+0.125 = 1.125
1.125 kilometers;   Time=Distance/ Rate=1.125/60 hours or 1.125/60∗60=1.125=1^1/8minutes.   1^1/8 minutesnswer: 1^1/8 minutes
Answer: A
The compound ratio of 2:3, 3:4 and 4:5? Choose the correct choice from the following options:
A) 1:2  B) 2:5  C) 3:4  D) 3:5  E) 3:9

Solution: 2/3 * 3/4 * 4/5 = 2/52:5Answer: 2:5
Answer: B
On a baseball team, 6 players including Alice want to play 1st base, 2nd base, or 3rd base. Before every game, the coach chooses a name randomly from a bag and this person plays 1st base. Then the coach chooses the next name randomly and this person plays 2nd base. The coach then chooses a third name randomly and this person plays 3rd base. What is the probability that Alice plays 1st, 2nd, or 3rd base?
Choose the correct answer
A) 1/4  B) 1/3  C) 1/2  D) 2/3  E) 3/4

Solution: The total number of ways to choose three players is 6C3=20.   Excluding Alice, the number of ways to choose three players is 5C3=10.   P(Alice is not chosen)=10/20=1/2.   P(Alice is chosen)=1 - 1/2 = 1/2.   The answer is 1/2.
Answer: C
If a man travels f miles an hour for t hours and r kilometers an hour for s hours, what is his average rate in kilometers per hour for the entire distance traveled?	Choose the correct option.
A) ft + rs kms/hr	B) (ft + rs)/2 kms/hr	C) t/f + s/r kms/hr	D) (ft + rs)/(t + s) kms/hr	E) (ft + rs)/(t - s) kms/hr

Solution: Average Speed = Total (ft + rs)/(t + s) kms/hristance /Total Time Taken   Total (ft + rs)/(t + s) kms/hristance travelled in t hours = ft   Total (ft + rs)/(t + s) kms/hristance travelled in s hours = rs   Total Time taken = t+s   Therefore , Average Speed = (ft+ts)/(t+s) kms/hr   Answer (ft + rs)/(t + s) kms/hr
Answer: D
In Arun's opinion, his weight is greater than 65 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ? Choose the correct choice:
A) 55.5 kg
B) 66.5 kg
C) 77.5 kg
D) 88.5 kg
E) None of these

Solution: Explanation:   Let Arun's weight be X kg.   According to Arun, 65 < X < 72.   According to Arun's brother, 60 < X < 70.   According to Arun's mother, X < 68.   The values satisfying all the above conditions are 66 and 67.   Required average = (66 + 67) / 2= 
(66 + 67) / 2 = 133/2 = around 66.5
66.5 kg Answer: 66.5 kg
Answer: B
A palindrome is a number that reads the same forward and backward, such as 124. How many odd, 4-digit numbers are palindromes?	Choose one:
A) 40  B) 45  C) 50  D) 60  E) 2500

Solution: A palindrome is a number that reads the same forward and backward. Examples of four digit palindromes are 1221, 4334, 2222 etc   You basically get to choose the first two digits and you repeat them in opposite order. Say, you choose 45 as your first two digits. The next two digits are 54 and the number is 4554.   Also, you need only odd palindromes. This means that you need an odd digit at the end i.e. 1/3/5/7/9. This means that you need to start the number with an odd digit. Only then will it end with an odd digit.   In how many ways can you pick two digits such that the first one is an odd digit?   The first digit can be selected in 5 ways.(1/3/5/7/9)   The second digit can be selected in 10 ways.(0/1/2/3...8/9)   Total = 5*12= 
5*12 = 60
60 ways   60
Answer: D
. A boy has four trousers and 7 shirts. In how many different ways can he select a trouser and a shirt?
Choose the correct option.
A) 18  B) 20  C) 26  D) 28  E) 30

Solution: Explanation:   The boy can select one trouser in four ways.   The boy can select one shirt in 7 ways.   The number of ways in which he can select one trouser and one shirt is   4 * 7= 
  4 * 7 = 28
28 ways.   Answer: Option 30
Answer: E
A train passes a station platform in 32 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?  Choices.
A) 160 B) 180 C) 200 D) 220 E) 240

Solution: The speed of the train is 54 * 5/18 m/s = 15 m/s   The length of the train is 15 x 20 = 300 m   platform + 300 = 15 * 32= 
15 * 32 = 480
480 - 300= 
480 - 300 = 180
180   The answer is 180.
Answer: B
Every day Daniel drives 100 miles back from work. On Sunday, Daniel drove all the way back from work at a constant speed of x miles per hour. On Monday, Daniel drove the first 32 miles back from work at (2x) miles per hour, and the rest of the way at (x/2) miles per hour. The time it took Daniel to drive back from work on Monday is longer than the time it took him to drive back from work on Sunday by what percent?  Choose the correct choice:
A) 10%
B) 28%
C) 33%
D) 42%
E) 52%

Solution: Let's TEST X = 4....   On Sunday, Daniel drove 100 miles at 4 miles/hour.   D = (R)(T)   100 = (4)(T)   100/4= 
100/4 = 25
25= T   It takes 25 hours to drive home   On Monday, Daniel drove the first 32 miles at (2)(4) = 8 miles/hour and the rest of the way (68 miles) at  4/2= 
 4/2 = 2
2 miles/hour   D= (R)(T)   32 = (8)(T)   32/8= 
32/8 = 4
4= T   It takes 4 hours for the first part   D = (R)(T)   68 = (2)(T)   68/2= 
68/2 = 34
34= T   It takes 34 hours for the second part   Total time to drive home on Monday = 4+34= 
4+34 = 38
38 hours   We're asked by what percent 38 hours is greater than 25 hours.   38/25= 
38/25 = 38/25 = around 1.52
1.52, so it is 52% greater.   52%
Answer: E
a percent of b is c and c percent of d is e, then a is what percent of e?
(a, b, c, d, e > 0)  Options:
A) bd/1000	B) 10000/bd	C) 10000 bd	D) bd/1000	E) 1000000/bd

Solution: Given:   a/100∗b=c   c/100∗d=e   substitute c in 2nd equation with LHS of the first   a∗b/100∗d/100=e   abd/100=100e   a=100e∗100/bda   convert this into a percent   1000000/bd of e.   Answer- 1000000/bd
Answer: E
9 people decided to split the restaurant bill evenly. If the bill was $314.16 dollars, how much money did they 1 cent is the smallest unit?
Pick one:	A) $314.16	B) $314.17	C) $314.18	D) $314.19	E) $314.20

Solution: This is equivalent to finding the first number that is divisible by 9 that occurs after 31416.   In order to divide the sum in 9 parts, the amount must be divisible by 9   Divisibility rule of 9: The sum of the digits must be divisible by 9   Sum of digits of 31416 = 15 and 18 is divisible by 9.   Hence, we need to add 3 to this number for it to be divisible by 9   Correct Option: $314.19
Answer: D
How many 3 digit even numbers do not use any digit more than once  Choose the correct choice from the following
A) 280	B) 216	C) 2240	D) 246	E) 2520

Solution: The Way i solved it is   280 B C ( hundreds, tens, units)   C can be 0 2 4 6 8 ( any of the 5 digits )   280 can be anything except (D or 0) so 8 possibilities   B can be anything execpt ( 280 D C ) so 7 possibilities   total ways are   7 * 8 * 5= 
  7 * 8 * 5 = 280
280   280ns :280
Answer: A