MU-NLPC/Calc-aqua_rat huggingface dataset:
An urn contains g green marbles and b blue marbles. If 3 green marbles and 4 blue marbles are added, and then one marble is selected at random from the urn, what is the probability that a blue marble will be drawn? Answers.
A) b/(b+g) B) (b+5)/(g+3) C) (b+5)/(b+g+8) D) (b+4)/(b+g+7) E) b/(b+g+5)

Solution: no of fav outcomes i.e. blue MArbles = b+4   Total no of outcomes i.e. total Marbles = (b+4)+(g+3)= b+g+7   probability = (b+4) /(b+g+7)   Answer (b+4)/(b+g+7)
Answer: D
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.300 when the rate to profit rises from 5 to 7 percent. Find the Capital of C?
Choose the correct choice from the following options:	A) 3377	B) 2899	C) 3750	D) 2778	E) 1991

Solution: A:B:3750 = 2/3:1/6:1/6 = 4:1:1   x * 2/100 * 2/3 = 300   3750's capital = 22500*1/6= 
22500*1/6 = 3_750
3750   Answer: 3750
Answer: C
Walking at 5/6th of its usual speed a cab is 6mnts late. Find its usual time to cover the journey?
Answers
A) 25m  B) 30m  C) 32m  D) 50m  E) 62m

Solution: New speed = 5/6th of usual speed   New time = 6/5th of usual time   6/5 UT - UT = 6m   UT/5 = 6m   UT = 30m   Answer is 30m
Answer: B
A certain auto manufacturer sold 4% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?	Pick one.
A) 63,000  B) 2,000,000  C) 2,030,000  D) 2,040,000  E) 2,300,000

Solution: Let's assume in 2006 he has sold X. Therefore in 2007 he should have sold 97/100×X.   97/100×2100=2037   -->2,037,000 sold in 2007. When rounded to the nearest 10,000 :   2,000,000   2,000,000
Answer: B
If (12z)/(5 - 6x/y) = 4z then which of the following is true?
Pick one
A) 2x = 3y  B) 3x = 2y  C) x = 3y  D) 3x = y  E) 2x = y

Solution: (12z)/(5 - 6x/y) = 4z   => 12zy/(5y - 6x) = 4z   => 3y/(5y -6x) = 1   => 3y = 5y - 6x   => -2y = -6x   => y = 3x   Hence Ans is 3x = y
Answer: D
The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?  Pick:
A) 1  B) 6  C) 7  D) 8  E) 2

Solution: Explanation:   x + y = 25   xy = 144   (x- y)2 = (x + y)2 â€“ 4xy   (x- y)2 = 625 â€“ 576 => (x â€“ y) = 7   Answer: 7
Answer: C
76 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?  Choose the correct choice from the following options
A) 13.25	B) 38.25	C) 33.25	D) 34.25	E) 31.25

Solution: x/7 = y/9 => x:y = 7:9   7/16 * 76= 
7/16 * 76 = 133/4 = around 33.25
33.25   ANSWER:33.25
Answer: C
A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?
Select the correct option:  A) 144  B) 377  C) 377  D) 288  E) 271

Solution: Explanation:   Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.   Let their initial investments be 6x, 2x and 3x respectively.   A : B : C = (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 = 7 : 8 : 6.   B's share = Rs. (378 * 8/21) = Rs. 144.   144nswer: 144) 144
Answer: A
Of the 50 researchers in a workgroup, 50 percent will be assigned to Team A and the remaining 50 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?
Pick:  A) 15  B) 17  C) 10  D) 25  E) 30

Solution: I solved it by assuming 100 people and then dividing my answer in two to save time on calculations. (percentage equals number of people) In that case   50 will be in team A   50 will be in team B   The larger diff is   70 want team A so diff is 70-50= 
70-50 = 20
20. At least 20 people will NOT get their wish, so for 50 researchers the same number is 10.   Answer choice 10
Answer: C
John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?  Choose the correct choice from the following answers:
A) 66.5% B) 96.5% C) 56.5% D) 46.5% E) 26.5%

Solution: Let N be the total number of books sold. Hence   N = 75 + 50 + 64 + 78 + 135= 
75 + 50 + 64 + 78 + 135 = 402
402   Let M be the books NOT sold   M= 1200 - N = 1200 - 402= 
1200 - 402 = 798
798   Percentage   Books not sold / total number of books= 798/1200= 
798/1200 = 133/200 = around 0.665
0.665= 66.5%   correct answer 66.5%
Answer: A
In a class,9 students like to play Basketball and 8 like to play Cricket. 6 students like to play on both Basketball and Cricket. How many students like to play Basketball or Cricket or both?  Choose the correct choice from the following answers:
A) 12 B) 11 C) 16 D) 18 E) 22

Solution: Draw a Venn Diagram yourself !   11 + C - 11C = Number of students that play either 11asketball or Cricket     9 +8 - 6= 
  9 +8 - 6 = 11
11   11)
Answer: B
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?  Pick:
A) 3944 B) 5667 C) 5525 D) 2466 E) 2665

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.   3944nswer: Option 3944
Answer: A
Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?	Answers.
A) 5 B) 6 C) 2 D) 3 E) 1

Solution: 6 * 22= 
6 * 22 = 132
132   7 * 19= 
7 * 19 = 133
133   --------------   1   ANSW1R 1
Answer: E
Lakshmi has $100 in her piggy bank. How much will she have in her bank 15 weeks from now if she puts $1 in the bank next week, $2 two weeks from now, $3 three weeks from now, and continues to increase the amount that she puts in by $1 each week?	Choose the most appropriate option
A) 210 B) 220 C) 230 D) 240 E) 250

Solution: The dollar deposits are in an A.P.   1,2,3,4...15with common difference 1   Sum of the terms is n(n+1) / 2   i.e 15* (15+1) /2   = 15* 16/2= 
15* 16/2 = 120
120   Total deposit therefore with Chiu-Lihas is 100 + 120= 
100 + 120 = 220
220$
Answer: B
If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum C of the 3 greatest of these temperatures, in degrees Fahrenheit, could be	Choose the correct choice from the following.
A) 6x
B) C=4x
C) C=5x/3
D) C=3x/2
E) 3x/5

Solution: OA please. Yeah so 5x is the sum of the 5, then I guess 4x could be the answer (B)   But what about C,D,E? Any ideas why these could be wrong?   Note that we have 5 positive temperatures.   Next, as the average is x then the sum of the temperatures is 5x and as all the temperatures are positive then the sum of the 3 greatest must be more than (or equal to) 3x (as the average of the 3 greatest must be at least x) and less than 5x: 3x<sum<5x --=""> only option B fits.   Answer: C</sum<5x>=4x.
Answer: B
A lighting store is stocked with 410 fixtures. Some of the fixtures are floor lamps and the rest are table lamps. If 5% of the floor lamps and 30% of the table lamps are imported, what is the smallest possible number of imported lamps stocked at the store?
Choose the correct choice from the following options.
A) 3 B) 10 C) 13 D) 20 E) 23

Solution: F + T = 410   Now, expression for the no. of imported items = 0.05F+0.3T   => 0.05F+0.3(410-F)=123-0.25F   =>F has to be a multiple of 4   to minimize the expression, we have to maximize F   Max value of F can only be 400, as anything beyond this (404 or 408) will give a fractional value of the no. of imported Ts   Hence, minimum no. of imported stuff = 123-400/4= 
123-400/4 = 23
23   ANSW23R:23
Answer: E
I have a fruit basket with only apples, pears and oranges. I have as many apples in grams as pears in hectograms, and I have as many apples in hectograms and oranges in kilograms. I have a total of 60 kilograms of fruit. How many oranges in kilograms do I have?	Choose the correct answer:
A) 5 kilograms B) 20 kilograms C) 10 kilograms D) 15 kilograms E) 50 kilograms

Solution: Let o be the oranges’ weight in kilograms. If p is the weight of pears in kilograms, then pears are p10 hectograms. If a is apples’ weight in kilograms, then apples’ is a1000 grams. Thus,a1000 = p10Since apples is a10 hectograms,a10 = oSince apples, pears and oranges together are 60 kilograms,a + p + o = 60The above system of 3 equations in 3 unknowns (a, p and o) can be solved as follows:o / 10 +10o + o = 60 oro + 100o + 10o = 600 oro = 600 / 111 = 5 years5 kilogramsnswer = 5 kilograms
Answer: A
A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter made instead a sandbox which was twice as long, twice as wide and twice as high as the original, what would the capacity be of the new larger sandbox?	Choose one:
A) 20
B) 40
C) 60
D) 80
E) 100

Solution: Explanation:   When all the dimensions of a three dimensional object are in fact doubled, then the capacity increases by a factor of 2x2x2=2^3=8. Thus the capacity of the new sandbox is 8x10=80 cubic feet.   Answer: Option 80
Answer: D
A farmer spent $35 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 60% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
Options.
A) $37.80  B) $38.50  C) $39.20  D) $39.50  E) $51

Solution: A farmer spent 40% money on chicken feed, so he spent 0.4*$35=$14 on chicken feed, thus he spent the remaining 35-14 0.4* 35= 
 0.4* 35 = 14
$14 on chicken feed, thus he spent the remaining   35-14= 
  35-14 = 21
$21 on goat feed.   Now, since he bought chicken feed at a 20% discount then the original price of it was x*0.4=$14 --> x=$35.   Therefore if the farmer had paid full price for both the chicken feed and the goat feed, then he would he have spent 35+21=$51.   Answer: $51.
Answer: E
don and his wife each receive an 8 percent annual raise. if don receives a raise rs.800 and his wife receives a raise of rs. 840, what is the difference between their annual income after their raises?
Choose the correct choice from the following choices:  A) 40  B) 460  C) 500  D) 540  E) 150

Solution: 540on salary 8% = 800 ; Therefore, 100% = 10000   His wife salary 8% = 840; Therefore, 100% = 10500   After raise 8%,   540on salary = 10000 + 800= 
10000 + 800 = 10_800
10800   And his wife salary= 10500+ 840= 
10500+ 840 = 11_340
11340   540ifference= 11340 - 10800= 
11340 - 10800 = 540
540   ANSWER:540
Answer: D
A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to?
Choose the most appropriate option.
A) 2 km/hr B) 3 km/hr C) 4 km/hr D) 7 km/hr E) 8 km/hr

Solution: B   Let A's speed = x km/hr. Then, B's speed = (7 - x) km/ hr.   So, 24/x + 24/(7 - x) = 14   x2 - 98x + 168 = 0   (x - 3)(x - 4) = 0 => x = 3 or 4.   Since, A is faster than 3 km/hr, so A's speed = 4 km/hr and 3 km/hr's speed = 3 km/hr.
Answer: B
Natasha climbs up a hill, and descends along the same way she went up. It takes her 4 hours to reach the top and 2 hours to come back down. If her average speed along the whole journey is 4 kilometers per hour, what was her average speed (in kilometers per hour) while climbing to the top?	Choose the correct choice from the following answers:
A) 2	B) 2.5	C) 3	D) 3.25	E) 3.5

Solution: Let the distance to the top be x, so the total distance traveled by Natasha is 2x.   The total time is 4 + 2= 
4 + 2 = 6
6 hours   The average speed= total distance/total time taken = 2x/6 = x/3   The average speed of the complete journey is 4 km/hour   x/3 = 4   x = 12 km   The average speed while climbing = distance/time = 12/4= 
12/4 = 3
3 km/h   The answer is 3.
Answer: C
In an election between two candidates, 10% of votes are were declares invalid. First candidate got 5400 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was:  Choices:
A) 9000 B) 98000 C) 30000 D) 11000 E) 12000

Solution: 100 % - 10 % = 90 %   54%-36%=18%   18% ------> 5400 ( 18 × 300   54 -36= 
  54 -36 = 18
18%   18% ------> 5400 ( 18 × 300= 5400)   100% -------> 30000 votes (100 × 300 = 30000)   30000
Answer: C
John is facing very difficult financial times and can only pay the interest on a $10,000 loan he has taken. The bank charges him a quarterly compound rate of 10%. What is the approximate interest he pays annually? Select:
A) 4000
B) 9500
C) 2500
D) 2000
E) 4500

Solution: An easy way too attempt this is by approximation:   For the first quarter, he pays 10% of 10,000 which is $1000.   So for the four quarters in the year, he will approximately play  1000*4= 
 1000*4 = 4_000
4000 over the entire year.   Because of compound interest it will be more than 4000. Approx. option E is correct.   Answer :4500
Answer: E
If n = 3^8 – 2^6 which of the following is NOT a factor of n?	Choose the correct option:	A) 89	B) 65	C) 73	D) 89	E) 1

Solution: 3^8 - 2^6   = (3^4)^2 - (2^3)^2   =(3^4 + 2^3)(3^4 - 2^3)   =(81+8)(81-8)   =89*73   Therefore, 65 is Not a factor of n.   65
Answer: B
A trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. In order to earn a profit of 40%, what should be the sale price of the mixed tea? Pick:
A) 22.4
B) 22
C) 20
D) 19.2
E) None of these

Solution: C.P. of mixture = 80×15+20×20 /80+20=16   ∴ S.P. = (100+40)/100×16=22.4   22.4nswer 22.4
Answer: A
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Choose the most appropriate option
A) 1/16 B) 12/14 C) 33/91 D) 8/22 E) 9/36

Solution: Explanation:   Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is = Â¹Â²33/91â‚„/Â¹âµ33/91â‚„   = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12) = 33/91   Answer: 33/91
Answer: C
A rectangular floor that measures 24 meters by 64 meters is to be covered with carpet squares that each measure 8 meters by 8 meters. If the carpet squares cost $24 apiece, what is the total cost for the number of carpet squares needed to cover the floor?
Options:	A) $200	B) $576	C) $480	D) $960	E) $1,920

Solution: The width of the rectangular floor(24 m) is a multiple of one side of the square(8 m), and the length of the floor(64 m) is also a multiple of the side of the square. So the number of carpets to cover the floor is (24/8)*(64/8)= 
(24/8)*(64/8) = 24
24.   The total cost is 24*24= 
24*24 = 576
$576.   The answer is, therefore, $576.
Answer: B
a dealer buys 4 varieties of wheat costing rs. 18,rs.20,rs.22 and rs.24 per kg in the ratio 2:1:3:4 and mixes all the four varieties and sells at 50% profit. What is the selling price per kg of wheat? Choose the most appropriate option.
A) 30.5
B) 31.8
C) 32.0
D) 32.7
E) 34.0

Solution: CP = 18*2+20*1+22*3+24*4= 
18*2+20*1+22*3+24*4 = 218
218   SP= 1.5*218= 
1.5*218 = 327
327   Total no.of kgs=2+1+3+4= 
2+1+3+4 = 10
10   SP per kg=327/10= 
327/10 = 327/10 = around 32.7
32.70   ANSWER:32.7
Answer: D
. In digging a pond 17 m * 20 m * 4 m the volumes of the soil extracted will be?	Choose the most appropriate option
A) 3323  B) 1360  C) 2877  D) 2992  E) 7111

Solution: 17 * 20 * 4= 
17 * 20 * 4 = 1_360
1360   Answer: 1360
Answer: B
Luke and Seth started out to visit Uncle Arnie. After driving 50 miles, they saw a restaurant, and
Luke wanted to stop for lunch. Seth wanted to look for something better, so they drove on for 8
miles before giving up and going back to the restaurant. After eating they traveled on for 26 more
miles from the restaurant. Seth saw a sign for a classic car museum, which they decided to visit.
The museum was 6 miles from their route. After returning to the main road, they drove for another 40
miles and arrived at Uncle Arnie’s house.How many miles did they drive on the way there?
Choose the correct choice from the following answers:  A) 444 miles  B) 344 miles  C) 244 miles  D) 144 miles  E) 644 miles

Solution: Use a drawing to show their travels.   The distances don’t have to be to sc   50 + 26 + 40= 
50 + 26 + 40 = 116
116 miles from house to house     50 + 8 + 8= 
  50 + 8 + 8 = 66
66 miles past restaurant and back    66 + 26= 
 66 + 26 = 92
92 miles to museum turnoff   92 + 6 + 6= 
92 + 6 + 6 = 104
104 miles back to main route    104 + 40= 
 104 + 40 = 144
144 miles total driven   correct answer 144 miles
Answer: D
A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 80 percent of books that were loaned out are returned and there are 64 books in the special collection at that time, how many books of the special collection were loaned out during that month?	Choose the correct choice from the following options.
A) 20
B) 30
C) 35
D) 40
E) 55

Solution: there are 11 books less(75-64) which represents 20% of the loaned books (100-80)   So total loaned out books = 55   Answer 55
Answer: E
Dexter and Prexter are competing with each other in a friendly community competition in a pool of 50 m length and the race is for 1000 m. Dexter crosses 50 m in 2 min and Prexter in 3 min 15 sec. Each time they meet/cross each other, they do handshake's. How many such handshake's will happen if they start from the same end at the same time? Select the correct option.
A) 17	B) 18	C) 19	D) 20	E) 22

Solution: Explanation :   When Dexter completes second round, they do handshake once.   Now for every round which Dexter completes, there will be one hand shake as the ratio of speed is 13:8.   D and P will meet at the pool end only after D completes 26 rounds.   In the 20th round, D finish the race and the total handshake's will be:   20−1= 19.   Answer : 19
Answer: C
The speed of a train is 70 kmph excluding stoppages and including stoppages it is 63 kmph. Of how many minutes does the train stop per hour?  Answers:
A) 3
B) 6
C) 7
D) 9
E) 14

Solution: Explanation:   T = 7/70 * 60= 
7/70 * 60 = 6
6   Answer: Option 6
Answer: B
A fort had provision of food for 150 men for 45 days. After 15 days, 25 men left the fort. The number of days for which the remaining food will last, is: Select the correct option.
A) 36 B) 37 1/4 C) 42 D) 54 E) 48

Solution: After 15 days : 150 men had food for 30 days.   Suppose 125 men had food for x days.   Now, Less men, More days (Indirect Proportion)   Therefore 125 : 150 :: 30 : x <=> 125 x x = 150 x 30   => x =150 x 30/125   => x = 36.   Correct answer is 36
Answer: A
A man took some money for borrowed, for 3 years the total will be Rs.6000 and 5 years it will be Rs.7000/-. Then how much amount he borrowed?	Pick:	A) s.4000/-	B) s.4500/-	C) s.4770/-	D) s.4800/-	E) s.4820/-

Solution: 3 years --------> Rs.6000/-   5 years --------> Rs.7000/-   ~ ~   ------------------------------   2 years ---------> Rs.1000/-   1 year ----------> Rs.500/-   3years * Rs.500/- = Rs.1500/-   P = Rs.6000/- - Rs.1500/- = Rs.4500/-   P = Rs.4500/-   s.4500/-
Answer: B
If 1/a + 3/a + 3/a is an integer, which of the following must also be an integer?	Choose the correct choice from the following.
A) 12/a  B) 3/a  C) 7/a  D) 9/a  E) 15/a

Solution: 1/a + 3/a + 3/a   =7/a   Answer 7/a
Answer: C
The H.C.F. of two numbers is 63 and the other two factors of their L.C.M. are 11 and 17. The larger of the two numbers is: Choose one:	A) 3421	B) 2132	C) 1111	D) 4323	E) 1071

Solution: :	Explanation:   Clearly, the numbers are (63 x 11) and (63 x 17).   {\color{Blue} \therefore } Larger number = (63 x 17) = 1071.   Answer: 1071)1071
Answer: E
At a local supermarket, a box of cereal usually costs 13 dollars. This week, the supermarket sells the box of cereal for 7 dollars. How much money will you save if you buy this cereal at this supermarket?	Choose the correct choice from the following:
A) 5 dollars
B) 3 dollars
C) 4 dollars
D) 2 dollars
E) 6 dollar

Solution: Solution:   In this situation, there is a decrease in the price.   Saving = 13 - 7= 
13 - 7 = 6
6 dollars   Option 6 dollar
Answer: E
A is twice as good a workman as B and together they finish a piece in 18 days. In how many days will A alone finish the work?	Choose the correct choice from the following choices:
A) 25 days
B) 26 days
C) 23 days
D) 45 days
E) 27 days

Solution: Sol. (A’s 1 day’s work):)(B’s 1 days work) = 2 : 1.   (A + B)'s 1 day's work = 1/18   Divide 1/18 in the ratio 2 : 1.   :. A’s 1 day's work =(1/18*2/3)=1/27   Hence, A alone can finish the work in 27 days.   Ans: 27 days
Answer: E
For four days of work, a clerk had daily earnings of $160, $150, $160, and $160 respectively. In which of the following intervals does the standard deviation of the daily earnings lie? Choose the correct choice.
A) Between $10 and $50
B) Between $0 and $10
C) Between $20 and $25
D) Between $50 and $100
E) Between $50 and $65

Solution: The standard deviation is between 0 and 10.   The reason is that none of the numbers in the set is further away from the mean than 10(or rather Abs(150-(160*3+150)/4)). I am not fully sure how to calculate the standard deviation(I simply remember that there were some formula for calculating the average of the squared distances from the mean for all items in the set from statistics classes - variation), but I believe this will suffice for any GMAT question related to standard deviation.   Answer : Between $0 and $10
Answer: B
Sophia finished 2/3 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book? Select the correct option.
A) 270
B) 260
C) 250
D) 230
E) None

Solution: Solution:   Let x be the total number of pages in the book, then she finished 2/3⋅x pages.   Then she has x−2/3⋅x=1/3.x pages left.   2/3⋅x - 1/3.x=90   1/3.x=90   x=270   So the book is 270 pages long.   270nswer 270
Answer: A
The average score of a cricketer for six matches is 36 runs. If the average for first four matches is 32, then average for last 2 matches is	Select
A) 48  B) 46  C) 44  D) 34.5  E) 35.5

Solution: Explanation:   =(36×6)−(32×4)/2   =(216−128)/2=44   Answer: Option 44
Answer: C
A group of 11 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase? Choose the most appropriate option
A) E/(12 - n)
B) (12 - n)/E
C) E/[12(12-n)]
D) nE / [11(11-n)]
E) (12-n)E/(12n)

Solution: total cost =E   no of people willing to participate initially =11   initial cost for each =E/11   when n people decided not to participate   Cost for each =E/11-n   nE / [11(11-n)]
Answer: D
The cost price of 17 articles is equal to the selling price of 11 articles. Find the profit percent? Pick one
A) 58 2/91%	B) 54 6/11%	C) 58 9/11%	D) 58 2/91%	E) 52 2/11%

Solution: 17 CP = 11 SP   11 --- 2 CP   100 --- ? =>54 6/11%   Answer:54 6/11%
Answer: B
10 men, working 7 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ? Choose one
A) 4 hours a day
B) 5 hours a day
C) 6 hours a day
D) 7 hours a day
E) 8 hours a day

Solution: Explanation:   More Men, Less Hours {Indirect Proportion}   Less 7 hours a dayays, More Hours {Indirect Proportion}   [men 15 10   days 12 18] ::7:x   =>xâˆ—15âˆ—12=10âˆ—18âˆ—7   =>x=10âˆ—18âˆ—7/ 15âˆ—12   =>x=7   Option 7 hours a day
Answer: D
Consider the sets Tn = {n, n + 1, n + 2, n + 3, n + 4}, where n = 1, 2, 3,...., 72. How many of these sets contain 6 or any integral multiple thereof (i.e., any one of the numbers 6, 12, 18, ...)?
Options.
A) (a) 80	B) (b) 81	C) (c) 60	D) (d) 83	E) (e) 84

Solution: T1: 1,2,3,4,5   T2: 2,3,4,5,6   T3: 3,4,5,6,7   etc.   means that every multiple of 6 will be involved in 5 sets. We have (72-6)/6+1= 
(72-6)/6+1 = 12
12 such multiples.   So, final number of sets is  12*5= 
 12*5 = 60
60   Answer : (c) 60
Answer: C