MU-NLPC/Calc-aqua_rat huggingface dataset:
what is the least number. which should be added to 0.0478 to make it a perfect square?  Pick:
A) 0.0002
B) 0.0004
C) 0.0006
D) 0.0008
E) 0.001

Solution: 0.0478+0.0006= 
0.0478+0.0006 = 0.0484
0.0484   (0.22)^2   ANSWER:0.0006
Answer: C
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 15. The larger of the two numbers is: Select the correct option.
A) 276
B) 299
C) 322
D) 345
E) 355

Solution: Clearly, the numbers are (23 x 13) and (23 x 15).   Larger number = (23 x 15) = 345. Answer: Option 345
Answer: D
A painting 2 inches wide is placed around a rectangular board with dimensions 8 inches by 12 inches. What is the area of the painting, in square inches?  Choices.
A) 144  B) 196  C) 96  D) 144  E) 128

Solution: This question is an example of a 'punch out' question - we have to find the area of EVERYTHING, then 'punch out' the part that we don't want.   We're told that a painting 2 inches wide is placed around a rectangular board with dimensions 8 inches by 12 inches. We're asked for the area of the painting , in square inches.   Area of a rectangle = (length)(width)   So the area of the board is... (8)(12) = 96   The painting 'adds' 2 inches to the top, bottom, left and right 'sides' of the picture, so the area of EVERYTHING is...   (8+2+2)(12+2+2) = (12)(16) = 196   When we 'punch out' the area of the rectangular board , we'll be left with the area of the FRAME:   192 - 96= 
192 - 96 = 96
96   Final Answer:   96
Answer: C
A can do a work in 10days and B can do the same work in 8 days. They work together for 3days and then A goes away. In how many days will B finish the work?  Choices.
A) 11/17days	B) 21/40days	C) 31/40days	D) 14/21days	E) 15/31days

Solution: A+B can do the work in 3 days = 3( 1/10 + 1/8) = 9/40   Rest of the work = 1 - 9/40 = 31/40   B will do the rest of the work in = 1 - 9/40 = 31/40days   Answer is 31/40days
Answer: C
Ron has a cycle worth $ 1800 and he wants to sell it at a profit of $ 220. What should cycles selling price be?  Choose the correct choice:
A) 2690	B) 1790	C) 1890	D) 2020	E) 2300

Solution: Cost Price = $ 1800   Profit = $ 220   Selling Price = Cost Price + Profit   Selling Price = 1800 + 220= 
1800 + 220 = 2_020
$ 2020   Selling price of the cycle= $ 2020 ANSWER : 2020
Answer: D
Of the six-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two? Choose one:
A) 2443200  B) 3643200  C) 5443200  D) 1443200  E) 2163200

Solution: Of the six-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?   A. 24   B. 36   C. 72   D. 144   E. 216   Choosing the digit for p - 9 ways;   Choosing the digit for q - 8 ways;   Choosing the digit for r - 7ways;   Choosing the digit for s - 6ways;   Choosing the digit for t - 5ways;   # of permutations of 3 digits in ppqrst - 6!/2!   Total: 9*8*7*6*5*6!/2!=5443200.   Answer: 5443200.
Answer: C
A certain sum of money at simple interest amounted Rs.980 in 3 years at 5% per annum, find the sum? Choose the correct choice from the following answers:
A) 867	B) 855	C) 299	D) 852	E) 903

Solution: 980 = P [1 + (3*5)/100]   P = 852   Answer: 852
Answer: D
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?	Choose the correct choice from the following choices
A) 2000  B) 2500  C) 2400  D) 2600  E) 1500

Solution: Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.   Then, 4x - 3x = 1000   x = 1000.   B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.   2000NSWER 2000
Answer: A
If 6^e is a factor of (10!)^2, What is the greatest possible value of e ?  Choose the correct option:
A) 2
B) 4
C) 6
D) 8
E) 10

Solution: e 10!= 10*9*8*7*6*5*4*3*2*1 = 2*5*3*3*2*2*2*7*2*3*5*2*2*3*2 = 2^8*3^4*5^2*7   6= 2*3   Therefore only the exponents of 2 and 3 are relevant, 2^8 or 3^4 -> higher number counts = 8 -> Answer Choice 8
Answer: D
A salt manufacturing company produced a total of 2500 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its ave66rage daily production for that year? Choose the most appropriate option.
A) 100  B) 105  C) 109  D) 120  E) 90

Solution: Total production of salt by the company in that year = 2500 + 2600 + 2700 + .... + 3600 = 36600.   100verage monthly production of salt for that year = 36600/365 â‰ˆ 100   100NSWER:100
Answer: A
Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many two letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter? Choose the correct choice.
A) 2,420  B) 6,435  C) 12,100  D) 12,870  E) 25,740

Solution: Since we are given atleast one symmetric letter in the three letter word we can take the following cases   1. All two   2. One symmetry and other two non   4. All the two letters can be arranged in 2 ways   ( 11c2+ 11c1 * 15c2) *2   ( 11*10/ 2 + 11 * 15 * 14 / 2 ) * 2   2420   IMO option A is the correct answer..   O2,420 please...will correct if I missed anything..
Answer: A
A certain kind of necklace is made from 9 gold, 6 blue, and 3 white beads. What is the maximum number of these necklaces that can be made from 36 beads of each color ?	Choose the correct choice from the following answers:	A) 8	B) 4	C) 6	D) 5	E) 4

Solution: Atleast 9 gold breads are needed to make a necklace, so irrespective of the combinations of blue and white beads, the number of necklaces that can be formed will be   36/9= 
36/9 = 4
4   Answer:- 4
Answer: E
A ladies hostel had provision of food for 200 women for 35 days. After 10 days, 25 women left the hostel. The number of days for which the remaining food will last is:  Choose the correct choice from the following options:
A) 28.97
B) 28.0
C) 28.47
D) 27.47
E) 29.47

Solution: Explanation :   After 10 days : 200 women had food for 25 days.   Suppose 175 women had food for x days.   Now, Less women, More days (Indirect Proportion)   175 : 200 :: 25 : x   => 175 x x = 200 x 25   => x = 200 x 25 / 175   => x =28.47   Answer : 28.47
Answer: C
A toy train produces at least 10 different tunes when it moves around a circular toy track of radius 5 meters, at 10 meters per minute. However, the toy train is defective and it now produces only two different tunes at random. What is the probability that the toy train produces 3 music tunes of the same type (1 in _____ ) ?
Choose the correct choice from the following choices
A) 3
B) 9
C) 8
D) 4
E) 5

Solution: 1/2^3=1/8 but here der r two types of tone and we need to find the odds of d train of two tones to form 3 tones consequently so 2*1/8= 1/4 so ans is 4   ANSWER:4
Answer: D
Average of 10 matches is 34, How many runs one should should score to increase his average by 5 runs.  Choose the most appropriate option:  A) A)70  B) B)76  C) C)78  D) D)89  E) E)88

Solution: Explanation:   Average after 11 innings should be 39   So, Required score = (11 * 39) - (10 * 34)   = 429 - 340= 
429 - 340 = 89
89   Answer: Option 89
Answer: D
If x and y are integers, then xy(x + y) is
Choose the correct choice from the following answers:
A) Always positive B) Always negative C) Positive when x is positive D) Negative when x is negative E) It cannot be determined by the information given

Solution: If you consider the case where x = 0 or y = 0, the result is zero regardless of the value (be it positive or negative) of the other variable.   so given that x < 0 (i.e, x is negative) and y = 0, the result = 0.   Answer is It cannot be determined by the information given
Answer: E
How many seconds will a 400 metre long train take to cross a man running with a speed of 6 km/hr in the direction of the moving train if the speed of the train is 30 km/hr? Select the correct option.
A) 25
B) 30
C) 45
D) 64
E) 60

Solution: Explanation :   Speed of train relatively to man = ( 30 - 6)km/hr   = 24 km /hr   = (24 x 5 / 18)m/sec   = 6.66 m/sec   Time taken to pass the man = (400/ 6.66)sec = 60 sec.   Answer : 60
Answer: E
Let x be a positive integer, what is the remainder when 4^(2x+5)+3 is divided by 5? Choose the most appropriate option
A) 2 B) 3 C) 4 D) 1 E) 5

Solution: For: (4^(2x+5)+3)/5   Let n = 2x + 5   4^n   4^1 = 4   4^2 = 16   4^3 = 64   4^4 = 256, last digit pattern repeats 4, 6, 4, 6, ....   Rule: x^(m+n) = (x^m)(x^n)   (4^(2x))(4^5)   Rule: x^(mn) = (x^m)^n   (4^2)(4^x)(4^5) => Now, (6)(4)(4) + 3 = (6) + 3 => Finally, 9/5 and remainder is 4.   Answer: 4
Answer: C
Find the L.C.M of 36,90,210 Select.
A) 630  B) 2520  C) 1260  D) 1360  E) 1460

Solution: 36=2^2*3^2 90=3^2*2*5 210=2*5*3*7   L.1260.M=2^2*3^2*5*7=1260   Answer=(1260)
Answer: C
On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 150,000 cells two hours ago, approximately how many cells will be populating the colony six hours from now? Select the correct option.
A) 77,500 B) 1,860,000 C) 2,400,000 D) 3,720,000 E) 4,960,000

Solution: 150,000 × 2 × 2×2×2 = 150,000 × 16 = 2,400,000
Answer: C
The value of y^2+2y-(2yy) when y=3 is:
Pick one
A) -2	B) -3	C) 4	D) -1	E) 2

Solution: 3^2+2*3-(2*3*3)   9+2*3-(18)   9+6-18   15-18=-3   answer -3
Answer: B
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?	Choose one:
A) 5.75
B) 5.7
C) 5.76
D) 5.71
E) 5.74

Solution: M = 6   S = 1.2   DS = 7.2   US = 4.8   x/7.2 + x/4.8 = 1   x = 2.88   D = 2.88 * 2= 
2.88 * 2 = 5.76
5.76   Answer:5.76
Answer: C
The cost of 16 pens and 8 pencils is Rs.352 and the cost of 4 pens and 4 pencils is Rs.96. Find the cost of each pen?
Pick one.
A) 11  B) 27  C) 21  D) 92  E) 20

Solution: Explanation:   Let the cost of each pen and pencil be 'p' and 'q' respectively.   16p + 8q = 352 --- (1)   4p + 4q = 96   8p + 8q = 192 --- (2)   (1) - (2) => 8p = 160   => p = 20   Answer: 20
Answer: E
list of salaries of 7 employees are listed below. What is the median salary?
$40,000, $29,000, $35,500, $31,000, $30,000, $27,000, $32,000
Choose the correct choice: A) $28,000 B) $28,500 C) $30,200 D) $31,000 E) $31,500

Solution: Ordering the data from least to greatest, we get:   $27,000, $29,000, $30,000, $31,000, $32,000, $35,500, $40,000   Since there is an odd number of items in the data set, we compute the median by taking the middle number   The median salary is $31,000.   Answer : $31,000
Answer: D
The flying acrobatic team is made up of 120 airplanes. The team wants to form a rectangular formation with X planes in a row and Y planes in a column. If the
number of airplanes in a row is no less than 4 and no more than 30, how many different combinations of rectangular shapes are possible? Choose the correct choice from the following options.
A) 4.  B) 5.  C) 6.  D) 8.  E) 10.

Solution: firstly factors of 120 = 1,2,3,4,5,6,8,10,12,15,20,24,30,40,... etc...   the questions says each row will have airplanes not less than 4 and not more than 30,   therefore, we should be interested in the factors starting from 4 till 30 (inclusive)   4(in each row) * 30(number of columns) =120, similarly   5 * 24   6 * 20   8 * 15   10 * 12   12 * 10   15 * 8   20 * 6   24 * 5   30 * 4   total possibilities = 10   option 10.
Answer: E
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Options.
A) 140 sq.units	B) 219 sq.units	C) 287 sq.units	D) 216 sq.units	E) 289 sq.units

Solution: Given that the area of the square = 1225 sq.units   => Side of square = √1225 = 35 units   The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35= 
2/5 * 35 = 14
14 units   Given that breadth= 10 units   140 sq.unitsrea of the rectangle = lb = 14 * 10= 
14 * 10 = 140
140 sq.units   140 sq.unitsnswer: 140 sq.units
Answer: A
Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many T kilometers per hour did Tammy walk on the second day?	Choices.
A) 3	B) 3.5	C) 4	D) 4.5	E) 6

Solution: Ans: C   Total time = 14 hrs   Let time traveled during 1st day = x   Let time traveled during 2nd day = x-2   Total time =14   x+x-2 = 14   x=8   speed * time = distance   s*8 + (s+0.5)(8-2) = 52   solving s = 4.5   now speed for 2nd day is 0.5 less than the 1st day which is 4.5   Thus speed for 2nd day = 4   Its simple algebra for s*8 + (s+0.5)(8-2) = 52 but for some reason Im getting 3.5 and not 4.5.   8s+6s+3=52   14s=49   s=3.5
Answer: C
Three cannons are firing at a target. If their individual probabilities to hit the target are 0.5, 0.2, and 0.3 respectively, what is the probability that none of the cannons will hit the target after one round of fire?
prob. that all the cannons will hit the target = .06
prob. that none of the cannons will hit = 1 - .06 = .94	Options:  A) 0.06  B) 0.12  C) 0.21  D) 0.29  E) 0.28

Solution: The probability that eachdoesn'thit is: 0.5, 0.8, and 0.7. When we have multiple independent events, we multiply the probabilities:   .5*.8*.7 = 0.28.   Option: 0.28
Answer: E
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?  Pick
A) 2134	B) 2234	C) 2540	D) 2560	E) 5184

Solution: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184   432 12 x 62   5184
Answer: E
If x and y are both prime numbers greater than 10, which of the following CANNOT be true?
I. xy is an even number.
II. The difference between x and y equals 117.
III. The sum of x and y is even.
Choose the correct choice from the following answers.
A) I only B) II and III only C) I and III only D) I and II only E) I, II and III

Solution: MANHATTAN GMATOFFICIAL SOLUTION:   Since x and y are both prime numbers greater than 10, they must both be odd. Therefore xy must be an odd number, so Statement I cannot be true. Similarly, if x and y are both odd, then x - y cannot equal 117 (an odd number). This difference must be even. Therefore, Statement II cannot be true. Finally, since x and y are both odd, x + y must be even, so Statement III will always be true. Since Statements I and II CANNOT be true, but Statement III IS true,the correct answer is (D).   Answer : I and II only
Answer: D
What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?  Choose the correct choice from the following answers:
A) 399  B) 383  C) 120  D) 288  E) 133

Solution: When compounded annually, interest   = 12000[1 + 20/100]1 - 12000 = Rs.2400   When compounded semi-annually, interest   = 12000[1 + 10/100]2 - 12000 = Rs.2520   Required difference = 2520 - 2400 = Rs.120   Answer: 120
Answer: C
Two cars cover the same distance at the speed of 50 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car. Choose the correct choice from the following answers:  A) 212 km  B) 214 km  C) 224 km  D) 216 km  E) 204 km

Solution: 50(x + 1) = 64x   X = 3.57   60 * 3.57 = 214 km   ANSWER:214 km
Answer: B
1 barrel of gas is enough to power the lawnmower to mow both you and your neighbor's lawn 15 times before refilling. You're son decided he's going take over mowing these lawns and also mow 6 more neighbor's lawns. How many times will he be able to mow your lawn and the neighbor's lawns before refilling the barrel of gas? Pick
A) 4.15	B) 2.75	C) 1.875	D) 3.75	E) 5

Solution: First set up a ratio with all the relevant values and also the unknown variable:   2*15 = 8*x   Now solve by multiplying 2 by 15 and then dividing that product by 8:    2*15= 
 2*15 = 30
30   30/8= x   x = 3.75   The value of x equals how many times 8 lawns can be mowed on one 1 barrel of gas.   Answer: 3.75
Answer: D
In a public show 60 % of the seats were filled. If there were 600 seats in the hall, how many seats were vacant?  Choose the correct choice:
A) 100
B) 110
C) 120
D) 140
E) 240

Solution: 75 % of 600   = 60/100 × 600   = 360   Therefore, the number of vacant seats = 600 - 360= 
600 - 360 = 240
240.   Answer:240
Answer: E
How many words can be formed from the letters of the word ‘EXTRA’ so that the vowels are never together?
Select.
A) 72	B) 25	C) 14	D) 65	E) 18

Solution: Sol. The given word contains 5 different letters.   Taking the vowels EA together, we treat them as one letter.   Then, the letters to be arranged are XTR (EA).   These letters can be arranged in 4! = 24 ways.   The vowels EA may be arranged amongst themselves in 2! = 2 ways.   Number of words, each having vowels together = (24x2) = 48 ways.   Total number of words formed by using all the letters of the given words   = 5! = (5x4x3x2x1) = 120.   Number of words, each having vowels never together = (120-48)= 
(120-48) = 72
72.   72ns:72
Answer: A
A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it? Choose the correct choice from the following answers.
A) 33
B) 77
C) 28
D) 90
E) 28

Solution: 1/9 - 1/x = 1/10   => 90 hrs   Answer:90
Answer: D
Amy, Bob, Cindy, and Daniel all have the same birthday, but they are all different ages. Today is their birthday. Cindy's age is divisible by Bob's age, and Amy's age is divisible by Cindy's age. If A is Amy's age in years, B is Bob's age, and C is Cindy's age, which of the following CANNOT be Daniel's age?	Answers
A) AC/B B) (A+C)/B C) (A+B)/C D) AB/C E) (A-C)/B

Solution: Since today's is Daniel's birthday, his age must be an integer. As per the question, let A = 12, B = 2, and C = 6. Plugging these into the answer choices, only B)(A+/B does not yield an integer.
Answer: C
Some of the 68% solution of acid was removed and this was replaced with an equal amount of 11% solution of acid. As a result, a 35% solution of acid was obtained. What fraction of the original solution was replaced?  Choose the correct option
A) 7/11
B) 7/17
C) 8/17
D) 8/19
E) 11/19

Solution: Let x be the fraction of the original solution that was replaced.   0.68*(1-x)+0.11(x)=0.35   0.57x=0.33   x=33/57=11/19   The answer is 11/19.
Answer: E
A and B go around a circular track of length 600 m on a cycle at speeds of 30 kmph and 60 kmph. After how much time will they meet for the first time at the starting point?
Select
A) 120 sec B) 176 sec C) 178 sec D) 72 sec E) 189 sec

Solution: Time taken to meet for the first time at the starting point   = LCM { length of the track / speed of A , length of the track / speed of B}   = LCM { 600/ (30 * 5/18) , 600/ (60 * 5 /18) }   = 72 sec.   Answer: 72 sec
Answer: D
J and M were each paid x dollars in advance to do a certain job together. J worked on the job for 10 hours and M worked for 4 hours less than J. If M gave J y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that J was paid in advance?  Pick: A) a)4y B) b)5y C) c)6y D) d)8y E) e)9y

Solution: J and M were both paid x dollars   If M gave Y dollars from her X to J then at the end   J will have X+Y dollars   M will have X- Y dollars   Now since the hourly wages have to be same then   Hourly wage of J = (X+Y) / 10 (Since J worked for 10 hrs)   Hourly wage of M = (X-y) /6 (Since M worked 4 hrs less than J)   Equating both   (X+Y)/10=(X-Y)/6   on simplifying X=4y   a)4ynswer a)4y
Answer: A
In a certain sequence , the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term of the sequence?  Choose the correct choice from the following:
A) 3/5
B) 5/8
C) 8/5
D) 5/3
E) 9/2

Solution: First term = 1   Second term = (1/1)+ 1= 
(1/1)+ 1 = 2
2   Third Term= (1/2)+1 = 3/2   Forth Term = [1/(3/2)]+1 = 5/3   Fifth Term = [1/(5/3)]+1 = 8/5   Answer: Option 8/5
Answer: C
An error 2% in excess is made while measuring the side ofa square. The % of error in the calculated area of the square is?
Choices.
A) 4%  B) 4.04%  C) 4.12%  D) 4.17%  E) 4.18%

Solution: 100 cm is read as 102 cm.   A1 = (100 x 100) cm2 and A2 (102 x 102) cm2.   (A2 - A1) = [(102)2 - (100)2]   = (102 + 100) x (102 - 100)   = 404 cm2.   Percentage error = 404 x 100 % = 4.04%   100 x 100   4.04%
Answer: B
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 5 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?	Options
A) 480  B) 287  C) 289  D) 270  E) 600

Solution: 1/x - 1/20 = -1/24   x = 120   120 * 5= 
120 * 5 = 600
600   Answer: 600
Answer: E
Mayank, Mirza, Little and Jaspal bought a motorbike for $60. Mayank paid one-half of the sum of the amounts paid by the other boys. Mirza pad one-third of the sum of the amounts paid by the other boys. Little paid one-fourth of the sum of the amounts paid by the other boys. How much did Jaspal have to pay?	Options:
A) $15
B) $13
C) $17
D) None of these
E) Cannot be determined

Solution: Explanation :   Mayank paid 1/2 of what others paid.   => Mayank paid 1/3 rd of the total amount = $20.   Similarly, Mirza paid $15 and Little paid $12.   Remaining amount of $60 - $20 - $15 - $12 = $13 is paid by Jaspal.   Answer : $1360 -  20 -  15 -  12= 
60 -  20 -  15 -  12 = 13
$13 is paid by Jaspal.   Answer : $13
Answer: B
Fry ship’s pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all extremely intelligent, treacherous and selfish (especially the captain).
The captain always proposes a distribution of the loot. All pirates vote on the proposal, and if half the crew or more go “Aye”, the loot is divided as proposed, as no pirate would be willing to take on the captain without superior force on their side.
If the captain fails to obtain support of at least half his crew (which includes himself), he faces a mutiny, and all pirates will turn against him and make him walk the plank. The pirates start over again with the next senior pirate as captain.
What is the maximum number of coins the captain can keep without risking his life?  Pick: A) 98 B) 77 C) 55 D) 39 E) 82

Solution: A   98 Coins   The captain says he will take 98 coins, and will give one coin to the third most senior pirate and another coin to the most junior pirate. He then explains his decision in a manner like this…   If there were 2 pirates, pirate 2 being the most senior, he would just vote for himself and that would be 50% of the vote, so he’s obviously going to keep all the money for himself.   If there were 3 pirates, pirate 3 has to convince at least one other person to join in his plan. Pirate 3 would take 99 gold coins and give 1 coin to pirate 1. Pirate 1 knows if he does not vote for pirate 3, then he gets nothing, so obviously is going to vote for this plan.   If there were 4 pirates, pirate 4 would give 1 coin to pirate 2, and pirate 2 knows if he does not vote for pirate 4, then he gets nothing, so obviously is going to vote for this plan.   98s there are 5 pirates, pirates 1 & 3 had obviously better vote for the captain, or they face choosing nothing or risking death.
Answer: A
Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choose the correct option
A) 3.5  B) 4.5  C) 5.6 percent  D) 6.5  E) None

Solution: Solution   C.P of 1 toy	= Rs.(375/12)   = Rs.31.25   S.P of 1 toy	= Rs.33.   Therefore,Profit	= (1.75/31.25×100)%   =(28/5)= 
(28/5) = 28/5 = around 5.6
5.6%.   Answer 5.6 percent
Answer: C