MU-NLPC/Calc-aqua_rat huggingface dataset:
A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?	Choose the correct choice from the following:
A) 27 (1/3)kmph
B) 21 (1/3)kmph
C) 21 (1/7)kmph
D) 26 (1/3)kmph
E) 31 (1/3)kmph

Solution: Let the total distance be x km   total time taken = (x/4)/16 + (3x/4)/24 = x/64 + x/32 = 3x/64   Average speed = x/(3x/64) = 64/3kmph = 21 (1/3)kmph.   Answer:21 (1/3)kmph
Answer: B
The average age of a class of 25 students is 19 years. The average increased by 2 when the teacher's age also included. What is the age of the teacher?
Options.
A) 40 years  B) 41 years  C) 47 years  D) 43 years  E) 44 years

Solution: If age of the teacher was 19, average would not have changed.   Since average increased by 2,   Age of the teacher=25+22×1=47   ANSWER:47 years
Answer: C
How many of the following numbers are divisible by 132 ?
264, 396, 462, 792, 968, 2178, 5184, 6336  Pick:	A) 3	B) 4	C) 5	D) 6	E) 7

Solution: 132 = 4 x 3 x 11   So, if the number divisible by all the three number 4, 3 and 11, then the number is divisible by 132 also.   264 11,3,4 (/)   396 11,3,4 (/)   462 11,3 (X)   792 11,3,4 (/)   968 11,4 (X)   2178 11,3 (X)   5184 3,4 (X)   6336 11,3,4 (/)   Therefore the following numbers are divisible by 132 : 264, 396, 792 and 6336.   Required number of number = 4.   4)
Answer: B
A car takes 4 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? Pick one
A) 92Kmph B) 98Kmph C) 90Kmph D) 80Kmph E) 82Kmph

Solution: Time = 4   Distence = 540   3/2 of 4 hours = 4 * 3/2= 
4 * 3/2 = 6
6 Hours   Required speed= 540/6= 
540/6 = 90
90 Kmph   90Kmph)
Answer: C
A test has 160 questions. Each question has 5 options, but only 1 option is correct. If test-takers mark the correct option, they are awarded 1 point. However, if an answer is incorrectly marked, the test-taker loses 0.25 points. No points are awarded or deducted if a question is not attempted. A certain group of test-takers attempted different numbers of questions, but each test-taker still received the same net score of 40. What is the maximum possible number of such test-takers?	Select
A) 23
B) 25
C) 27
D) 29
E) 31

Solution: A correct answers get you 1 point, an incorrect answer gets you MINUS 1/4 point and a skipped question gets you 0 points. Since there are 200 total questions, there are a variety of ways to get a total of 40 points.   Let C be the number of correct answers and let I be the number of incorrect answers.   To get 40 points, a test taker must have at least 40 correct answers. Then C=> 40.   For every correct question above 40, the test taker has 4 incorrect answers.   Then, the I = 4*(C - 40).   Also, I + C <= 160. Thus 5C <= 320 and so C <= 64.   Then 40 <= C <= 64 and C can have 25 possible values.   The answer is 25.
Answer: B
Cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 1 to 7 to 8. If a total of 80 sandwiches were made, how many bologna sandwiches
were made?  Choose the correct option:
A) 15 B) 30 C) 35 D) 42 E) 48

Solution: For deciding such task we should calculate all parts 1 + 7 + 8= 
1 + 7 + 8 = 16
16 parts   and we should calculate how many sandwiches holds 1 part:   80 / 16= 
80 / 16 = 5
5 sandwiches in one part   For bologna we have 7 parts so:    7 * 5= 
 7 * 5 = 35
35   Answer is 35
Answer: C
In a class,12 students like to play Basketball and 8 like to play Cricket. 3 students like to play on both Basketball and Cricket. How many students like to play Basketball or Cricket or both? Options:
A) 12	B) 15	C) 17	D) 18	E) 22

Solution: Draw a Venn Diagram yourself !   B + 17 - B17 = Number of students that play either Basketball or 17ricket   12 +8 - 3= 
12 +8 - 3 = 17
17   17)
Answer: C
A patient was given three pills which he is required to take one after every thirty-five minutes.
How long can the pills run for him?
Choose the correct choice from the following answers:
A) 1 hour and 10 minutes.  B) 1 hour and 15 minutes.  C) 1 hour and 20 minutes.  D) 1 hour and 50 minutes.  E) 1 hour and 25 minutes.

Solution: He took the first pill at the zero minute.   He took the second pill after 20 minutes = 0+35= 
0+35 = 35
35   He took the third pill after 20 minutes= 35+35= 
35+35 = 70
70   Then it will last for 70 minutes or an hour and 10 minutes.   1 hour and 10 minutes.nswer 1 hour and 10 minutes.
Answer: A
A family pays $800 per year for an insurance plan that pays 65 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
Choose one
A) $1,000	B) $1,200	C) $1,400	D) $1,500	E) $2,200

Solution: Upfront payment for insurance plan = 800$   Family needs to pay 35 % of first 1000 $ in expense = 350$   Total amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 350= 
800 + 350 = 1_150
1150 $   Total amount paid by insurance plan for first 1000 $= 800 $   Total amount paid by family will equal amount paid by plan when medical expense = 1500 $   (Since insurance plan will pay 100% of amount that exceeds 1150$ )   Answer $1,500
Answer: D
A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet? Options.
A) 900 km	B) 800 km	C) 600 km	D) 690 km	E) 609 km

Solution: Explanation:   D = 30 * 5= 
30 * 5 = 150
150   RS= 40 – 30 = 10   T = 150/10= 
150/10 = 15
15   D= 40 * 15= 
40 * 15 = 600
600 km   Answer: Option 600 km
Answer: C
A car moves at 92 km/hr. What is the speed of the car in meters per second ?	Select the correct option.
A) 20 2/9m sec	B) 22 2/9m sec	C) 25 5/9m sec	D) 26 2/9m sec	E) 28 2/9m sec

Solution: Explanation:   Speed=(92∗5/18)m/sec   =230/9 m/sec   =25 5/9msec   Option 25 5/9m sec
Answer: C
Each person who attended a company meeting was either a stockholder in the company, an employee of the company or both. If 62 percent of these who attended the meeting were stockholders and 46 percent were employees. What percent were stockholders, who were not employees?	Choose one.
A) 52	B) 54	C) 59	D) 55	E) 56

Solution: I came up with the same answer choice B, but my approach was slightly different!   46% were employees which shall cover those who were only employees and those who were both shareholders and employees.   Thus, the number of attendants who were only shareholders is 100% - 46% = 54%.  100  - 46= 
  100  - 46 = 54
54%.
Answer: B
The C.P of 14 books is equal to the S.P of 18 books. Find his gain% or loss%?
Choose the correct choice from the following answers.
A) 16 2/3% loss
B) 16 2/8% loss
C) 16 3/3% loss
D) 22 2/9% loss
E) 56 2/3% loss

Solution: 14 CP = 18 SP   18 --- 4 CP loss   100 --- ? => 22 2/9% loss   Answer:22 2/9% loss
Answer: D
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 8480, what is the length of the plot in metres?	Select:	A) 20	B) 200	C) 300	D) 90	E) 140

Solution: Let length of plot = L meters, then breadth = L - 20 meters   and perimeter = 2[L + L - 20] = [4L - 40] meters   [4L - 40] * 26.50 = 8480   [4L - 40] = 8480 / 26.50= 
8480 / 26.50 = 320
320   4L= 360   L = 360/4= 
360/4 = 90
90 meters. Answer: 90
Answer: D
If 10^(x-1)< 0.000125 <10^x, what is the value of an integer x? Choose the correct choice from the following choices:
A) -4
B) -3
C) -2
D) 3
E) 4

Solution: -> Multiply 10^6- > (10^6){10^(x-1)}<125<(10^6)(10^x) -> 125 is bigger than 100   -> (10^6)(10^(x-1))=100 -> 10^(6+x-1)=10^2, x+5=2 -> x=-3   Thus, the answer is -3
Answer: B
Of 90 applicants for a job, 42 had at least 4 years' experience, 54 had degrees, and 8 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree?
Options:	A) 10	B) 8	C) 14	D) 16	E) 12

Solution: 90 - 8= 
90 - 8 = 82
82   82 - 42 - 54= -14   Then 14 are in the intersection between 4 years experience and degree.   Answer : 14
Answer: C
What number is obtained by adding the units digits of 734^99 and 347^83? Choose the correct choice from the following answers:
A) 7
B) 8
C) 9
D) 10
E) 11

Solution: The units digit of 734^99 is 4 because 4 raised to the power of an odd integer ends in 4.   The units digit of 347^83 is 3 because powers of 7 end in 7, 9, 3, or 1 cyclically. Since 83 is in the form 4n+3, the units digit is 3.   Then   4+3= 
  4+3 = 7
7.   The answer is 7.
Answer: A
A man has Rs. 512 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ? Choose the correct choice from the following answers:	A) 80	B) 90	C) 96	D) 98	E) 100

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 512   16x = 512   x = 32.   Hence, total number of notes = 3x = 96.   96
Answer: C
A study group consists of 4 English majors, 6 biological sciences majors, and 5 engineers. In how many ways can 3 English majors, 3 biological science majors and 3 engineers selected from the given group? Choose one
A) 987 ways B) 346 ways C) 600 ways D) 200 ways E) 134 ways

Solution: The number of ways of selecting three English majors, two biological science majors and three engineers is:   = ⁴C₃ * ⁶C₂ * ⁵C₃   = (4 * 3 * 2)/(3 * 2 * 1) * (6 * 5)/(3 * 2 * 1) * (5 * 4 * 3)/(3 * 2 * 1)   = 4 * 5 * 10= 
4 * 5 * 10 = 200
200 ways.   Answer: 200 ways
Answer: D
If the range T of the six numbers 4,3,14,7,10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x?
Options:
A) 0 B) 2 C) 12 D) 13 E) 15

Solution: The range T of a set is the difference between the largest and smallest elements of a set.   Without x, the difference between the largest and smallest elements of a set is  14-3= 
 14-3 = 11
11<12, which means that in order 12 to be the range of the set x must be either the smallest element so that 14-x=12 ---> x=2 OR x must the largest element so that x-3=12 --> x=15.   The the difference between the greatest possible value of x and least possible value of x is 15-2= 
15-2 = 13
13.   Answer: 13.
Answer: D
A certain car dealership offers its newest model in ten exterior and ten interior colors. If the five interior colors are identical to the ten exterior colors, and the dealership sells every pair of colors except those that would result in a car with an identically colored interior and exterior, how many different color combinations are possible?	Choose the correct choice from the following answers: A) 25 B) 81 C) 90 D) 10!/2! E) 10!

Solution: I lined up the 10 different colours for Exterion and Interior like this:   E: A B C D E F G H I J   I: A B C D E F G H I J   I calculated the number of combinations:   10*10= 
  10*10 = 100
100 combinations.   But, from these 100 we need to delete sth: the same colours.   There are 10 possible pairs of coulours that will be the same. So, I deleted these 10 pairs from 100, resulting in 25.   Mind here, that the 10 do not result in 20 colours, because 1 pair is one unit that is not allowed. So, 10 units are not allowed (surprised that 80 wasn't among the answer options to confuse test takers...).   25
Answer: A
In a soccer bet,we play 4 teams.first team odd 1.25,second 5.23,third 3.25,fourth 2.05.we place the bet with 5.00 euros.
how much money we expect to win?
Select:
A) 217.78
B) 225.5
C) 235.01
D) 266.74
E) 669.0

Solution: in the case we won the bet,we have:   1.25* 5.23* 3.25* 2.0*5.00=219.50   we will win 217.78   so correct answer is 217.78
Answer: A
36 men can complete a piece of work in 18 days. In how many days will 81 men complete the same work ?  Choose the correct choice from the following answers
A) 8  B) 77  C) 88  D) 29  E) 21

Solution: Explanation:   Less Men, means more Days {Indirect Proportion}   Let the number of days be x   then,   81 : 36 :: 18 : x   x = 8   8nswer: 8) 8 days
Answer: A
If the average (arithmetic mean) of 16 consecutive odd integers is 414, then the least of these integers is Choose the correct choice from the following answers.
A) a) 399
B) b) 418
C) c) 519
D) d) 521
E) e) 525

Solution: A very helpful rule to know in arithmetic is the rule that in evenly spaced sets, average = median. Because the average will equal the median in these sets, then we quickly know that the median of this set of consecutive odd integer numbers is 414.   There are 16 numbers in the set, and in a set with an even number of terms the median is just the average of the two most median terms (here the 7th and 8th numbers in the set). This means that numbers 7 and 8 in this set are 413 and 415. Because we know that number 7 is 413, we know that the smallest number is 7 odd numbers below this, which means that it is 7*2= 
7*2 = 14
14 below this (every odd number is every other number). Therefore   413-14= 
  413-14 = 399
399, answer choice a) 399.
Answer: A
A photography dealer ordered 30 Model X cameras to be sold for $250 each, which represents a 20 percent markup over the dealer’s initial cost for each camera. Of the cameras ordered, 6 were never sold and were returned to the manufacturer for a refund of 50 percent of the dealer's initial cost. What was the dealer's approximate profit or loss as a percent of the dealer’s initial cost for the 30 cameras?
Choose the correct option.
A) 7% loss	B) 13% loss	C) 6% profit	D) 13% profit	E) 15% profit

Solution: Total cost 30*($250/1.2)=6250;   # of cameras sold is 30-630*( 250/1.2)= 
30*( 250/1.2) = 6_250
6250;   # of cameras sold is  30-6= 
 30-6 = 24
24 total revenue is 24*250;   # of cameras returned is 6 total refund 6*(250/1.2)*0.5;   So, total income 24*250+ 6*(250/1.2)*0.5   The dealer's approximate profit is   (24*250+ 6*(250/1.2)*0.5-6250)/(6250)*100= 
  (24*250+ 6*(250/1.2)*0.5-6250)/(6250)*100 = 6
6%   Answer: 6% profit.
Answer: C
A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 980gm. for a kg.His gain is …%. Choose the most appropriate option.
A) 2.04% B) 5.36% C) 4.26% D) 6.26% E) 7.26%

Solution: His percentage gain is 100*20/980 as he is gaining 20 units for his purchase of 980 units.   so 2.04%..2.04%NSWER:2.04%
Answer: A
A sum 's' is divided into 4 parts. second person gets Rs 10
more than first.3rd person is Rs 10 more than second,4th is 10 more than 3rd.how much amount do 1st person get.? Options
A) x = (s-60)/4  B) x = (s-60)/5  C) x = (s-60)/3  D) x = (s-60)/2  E) x = (s-60)/6

Solution: let x be amount getting by first person,   second person gets x +10,third person gets x + 20,fourth person gets x + 30,   now s = (x)+(x+10)+(x+20)+(x+30)   s = 4x + 60   s - 60 = 4x   or x = (s-60)/4   x = (s-60)/4NSWER:x = (s-60)/4
Answer: A
For each hour of production, a certain factory requires 1 assembly line worker for every 10 units to be produced in that hour. The factory also requires 12 managers regardless of the number of units to be produced. Which of the following expressions represents the total number of assembly line workers and managers that this factory requires to produce 50N in one hour, where N is a positive integer?
Choose the correct choice from the following answers.
A) 12 + 5N	B) 12 + 2N	C) 62N	D) 37N	E) 25

Solution: 10 units = 1 worker;   50N units = 50N/01 = 5N workers.   So, the answer is 5N workers plus 12 managers.   12 + 5Nnswer: 12 + 5N.
Answer: A
Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 90 kmph and 70 kmph respectively. In what time will they cross each other completely? Choose the correct answer:
A) 15 sec
B) 19 sec
C) 12 sec
D) 10 sec
E) 11.25 sec

Solution: 11.25 secxplanation:   D = 250 m + 250 m = 500 m   RS = 90 + 70= 
90 + 70 = 160
160 * 5/18= 400/9   T = 500 * 9/400= 
500 * 9/400 = 45/4 = around 11.25
11.25 sec   Answer: Option 11.25 sec
Answer: E
In a chess tournament each of the six players will play with
every other player exactly once. How many matches will be
played during the tournament?
Options
A) 11	B) 12	C) 13	D) 14	E) 15

Solution: if 2 players are playing thn no of match= 1   if 3 player are playing thn no of match =2   hence for Pth player no of matches = n-1 where n= no of players   so for 6th player it is 5   for 5th it is 4....   for 1 it is 0.   don't be confuse 1 already played with 6,5,4,3,2   __________________   6--->5,4,3,2,1   5----->4,3,2,1   4---->3,2,1   3---->2,1   2---->1   5+4+3+2+1= 
5+4+3+2+1 = 15
15   ANSW15R:15
Answer: E
A train is 360 meter long is running at a speed of 90 km/hour. In what time will it pass a bridge of 140 meter length?	Choose the correct choice from the following options:
A) 65 seconds
B) 46 seconds
C) 40 seconds
D) 20 seconds
E) 26 seconds

Solution: Speed = 90 Km/hr = 90*(5/18) m/sec = 25 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= 20 secondsistance/speed   = 500 * (1/25)= 
500 * (1/25) = 20
20 seconds   Answer:20 seconds
Answer: D
How many 7 in between 1 to 130?
Choose the correct choice from the following options:	A) 18	B) 20	C) 22	D) 23	E) 24

Solution: 7,17,27,37,47,57,67,   70,71,72,73,74,75,76,77(two 7's),78,79,87,97,107,117,127   23 7's between 1 to 130   ANSWER:23
Answer: D
The median annual household income in a certain community of 21 households is $50,000. If the mean W income of a household increases by 10% per year over the next 2 years, what will the median income in the community be in 2 years?	Pick.
A) $50,000  B) $60,000  C) $60,500  D) $65,000  E) Cannot be determined

Solution: Answer is E, because there are different numbers in the set and we are not sure which side of the numbers in the set will be increased so the mean W is increase by 10%. It could be the case that small number of higher end incomes increased a little or many low end incomes increased - it cannot be identified.
Answer: E
A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
Choices
A) 23  B) 28  C) 27  D) 19  E) 24

Solution: Let the average after the 16th inning be P.   So, the average after the 15th inning will be (P-3) Hence, 15(P-30) + 64   = 16P => P   = 19.   Answer: 19
Answer: D
The function F is defined for all positive integers n by the following rule: f(n) is the number of position integer each of which is less than n, and has no position factor in common with n other than 2. If p is any prime number then f(p)=	Choose the correct choice:
A) p-1  B) p-2  C) (p+1)/2  D) (p-1)/2  E) 2

Solution: The confusing moment in this question is its wording. Basically question is: how many positive integers are less than given prime number p which has no common factor with p except 1.   Well as p is a prime, all positive numbers less than p have no common factors with p (except common factor 1). So there would be p-1 such numbers (as we are looking number of integers less than p).   If we consider p=7 how many numbers are less than 7 having no common factors with 7: 1, 2, 3, 4, 5, 6 --> 7-1=6.   Answer: 2.
Answer: E
Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 6 muffins remained. How many guests did Monica plan on? Choose one
A) 3.  B) 4.  C) 5.  D) 6.  E) 7.

Solution: Let x be the number of guests.   Number of muffins prepared = 5x + 2   Number of muffins eaten + Number of muffins remaining = Number of muffins prepared   6(x - 1) + 6 = 5x + 2   6x - 6 = 5x + 2   x = 8   3.nswer: 3.
Answer: A
If the sides of a triangle are 26 cm, 24 cm and 20 cm, what is its area? Choose the correct choice from the following choices:
A) 120	B) 772	C) 288	D) 266	E) 240

Solution: The triangle with sides 26 cm, 24 cm and 20 cm is right angled, where the hypotenuse is 26 cm.   Area of the triangle = 1/2 * 24 * 20= 
1/2 * 24 * 20 = 240
240 cm2   Answer: 240
Answer: E
The total age of A and B is 10 years more than the total age of B and C. C is how many year younger than
Choose the correct choice from the following options.
A) 14 years  B) 12 years  C) 56 years  D) 10 years  E) 55 years

Solution: Given that A+B = 10 + B + C   => A â€“ C = 10 + B â€“ B = 10   => C is younger than A by 10 years   Answer:10 years
Answer: D
In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 28 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp?  Options:
A) 70 B) 245 C) 150 D) 200 E) 350

Solution: Since 30% of the boys from school A study science, then 70% of the boys from school A do NOT study science and since 20% of the total number of boys are from school A, then 0.2*0.7= 
0.2*0.7 = 0.14
0.14, or 14% of the boys in the camp are from school A and do not study science.   We are told that this number equals to 28, so 0.14*{total}= 28 --> {total} = 200.   Answer: 200.
Answer: D
Tough and Tricky questions: Distance/Rate.
On a reconnaissance mission, a state-of-the-art nuclear powered submarine traveled 200 miles to reposition itself in the proximity of an aircraft carrier. This journey would have taken 1 hour less if the submarine had traveled 10 miles per hour faster. What was the average speed, in miles per hour, for the actual journey? Select
A) 20
B) 40
C) 50
D) 80
E) 100

Solution: Say, if speed is 40, 200/40 = 5 hrs and 200/50= 
200/50 = 4
4 hrs (a reduction of 1 hr -> Correct answer)   Answer (40)
Answer: B
In how many ways can the letters of the word 'APPLE' be arranged?  Answers
A) 48 B) 60 C) 56 D) 32 E) 18

Solution: The word APPLE contains 5 letters   1A,2P,1L AND 1E   required number of ways = 5!/(1!*2!*1!*1!) = 60   Answer is 60
Answer: B
There are 400 tigers at a large zoo. The number of tigers is 5 times the number of all the other animals combined. How many more tigers are there than non tigers animals at the zoo?
Choices
A) 400	B) 390	C) 370	D) 320	E) 90

Solution: Answer is B.   Total tigers= 400 = 5 * Other Animals (X)   or X = 80.   So, 320ifference in tigers and X = 400-80= 
400-80 = 320
320.
Answer: D
If x^2 - 4 = 0 and x < 0, which of the following must be equal to 0 ? Choose the correct choice from the following options:
A) x^2 - 9x B) x^2 - 9x + 20 C) x^2 - 2x + 3 D) x^2 + 2x - 3 E) x^2 + 5x + 6

Solution: x^2-4 = 0   x= +2 or x = -2   if we substitute x= -2 in the equation x^2 +5x+6 = 4-10+6= 
4-10+6 = 0
0   x^2 + 5x + 6 is also the answer
Answer: E
On Monday, Kramer purchases exactly 3 new shirts, 2 new sweaters, and 4 new hats, On the following day and each subsequent day thereafter, Kramer wears one of his new shirts together with one of his new sweaters and one of his new hats. Kramer avoids wearing the exact same combination of shirt, sweater, and hat for as long as possible. On which day is this no longer possible?	Choose the correct answer:
A) Tuesday	B) Wednesday	C) Thursday	D) Friday	E) Saturday

Solution: Shirt combinations = 3!/1*(3-1)! = 3*2*1/1*2*1 = 3   Sweater combinations = 2!/1*(2-1)! = 2*1/1*1 2 /1*(2-1)= 
2 /1*(2-1) = 2
2*1/1*1= 
2*1/1*1 = 2
2   Hat combinations= 4!/1!*(4-1)! = 4*3*2*1/1*3*2*1 = 4   Total Combinations = Shirt Combos*Sweater Combos*Hat Combos    3*2*4= 
 3*2*4 = 24
24 combinations   24 / 7 (days of the week)= remainder of 3   Purchased on Monday, 3rd day is Thursday. Next day, which he won't have a new combination for, is Friday. (Friday)
Answer: D
A shopkeeper labeled the price of his articles so as to earn a profit of 30% on the cost price. He then sold the articles by offering a discount of 10% on the labeled price. What is the actual percent profit earned in the deal? Choose the correct choice:	A) 18%	B) 20%	C) 17%	D) 18%	E) None of these

Solution: Explanation:   Let the CP of the article = Rs.100.   Then labeled price = Rs.130.   SP = Rs.130- 10% of 130 = Rs.130-13 = Rs.117.   Gain = Rs.117 – Rs.100 = Rs.17   Therefore, gain/profit percent = 17%.   Answer: Option 17%
Answer: C