MU-NLPC/Calc-aqua_rat huggingface dataset:
A starts business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the Capital ?  Choose the correct choice from the following options.
A) 24887
B) 20778
C) 23788
D) 9000
E) 2811

Solution: Explanation:   A invested Rs.3500 for 12 months.   Let B joined with investment x. And he invested for 12 - 5= 
12 - 5 = 7
7 months.   So there profit ratio= (3500 × 12) : (7x) = 2 : 3   ⇒ x = 9000   Answer: 9000
Answer: D
How many multiples of 2 are there between 0 and 100, exclusive ?	Choose the correct choice from the following:
A) 48
B) 47
C) 46
D) 45
E) 49

Solution: 2 * 50= 
2 * 50 = 100
100   Total multiples= (50 -1) + 1= 
(50 -1) + 1 = 50
50   49xclude 0 and 100= 50 - 1= 
50 - 1 = 49
49   Answer is 49.
Answer: E
If 2 cards are selected (with replacement) at random from the deck of 52 cards then what is the probability that one of the selected cards will be red and the other will be black?
A deck of cards has a total of 52 cards, consisting of 4 suits: spades (black), hearts (red), diamonds (red), and clubs (black). In each suit, there are 13 cards including 1 king, 1 queen, and 1 jack.  Choices
A) 1/2	B) 1/4	C) 1/8	D) 1/16	E) 1/32

Solution: P(1 red and 1 black) = 2(1/2*1/2) = 1/2   The answer is 1/2.
Answer: A
For the past n days, the average (arithmetic mean) daily production at a company was 30 units. If today's production of 90 units raises the average to 35 units per day, what is the value of n ?	Choose the correct option.
A) 30  B) 18  C) 10  D) 9  E) 3

Solution: (average production for n days) * n = (total production for n days) --> 30n=(total production for n days);   (total production for n days) + 90 = (average production for n+1 days) * (n+1) --> 30n + 90 = 35 * (n+1) --> n=3.   Answer: 3.
Answer: E
The G.C.D of 1.08, 0.42 and 0.9 is Answers.
A) 0.19	B) 0.1	C) 0.06	D) 0.11	E) 0.12

Solution: Explanation:   Given numbers are 1.08 , 0.42 and 0.90   H.0.06.F of 108, 42 and 90 is 6 [because G.0.06.D is nothing but H.0.06.F]   therefore H.0.06.F of given numbers = 0.06   Answer: 0.06)
Answer: C
The difference between the squares of two consecutive odd integers
is a square<1000 whose root equals the combined sum of the digits
of the two integers. What is the sum of the digits X of the larger integer?	Choose the correct option:	A) X=2	B) X=5	C) X=8	D) 10	E) 11

Solution: Really hard. But let's start with few concepts:   1. Square of an odd integer will be odd.   2. Difference of odd and odd will be even.   3. Any odd integer can be expressed as difference of two squares.   4. An even integer can be expressed as difference of two squares only if that even integer is a multiple of 4.   Assume two odd integers to be (2x-1) and (2x+1).   Difference of their squares = (2x+1)^2 - (2x-1)^2   = 4x^2 + 1 + 4x - (4x^2 + 1 - 4x)   = 4x^2 + 1 + 4x - 4x^2 - 1 + 4x   = 8x   Now root of 8x needs to be an integer such that it is equal to the sum of the digits of the two odd integers.   8 = 2^3, so x needs to be such that itcompletesa perfect square.   If we find x, we can find the value of 2x+1 (larger integer) and then sum of its digits.   Let's check the options, starting with c.   For sum to be 8, few possibilities are: 17, 35, 53, 71   If we take 17, the pair is 15 and 17, meaning x = 8.   8x = 64   root of 64 = 4 but 4 is not equal to 1+5+1+7.   Reject.   If we take 35, the pair is 33 and 35, meaning x = 17.   8x = 8*17   Reject since perfect square is not possible.   If we take 53, the pair is 51 and 53, meaning x = 26.   8x = 8*26   Reject since perfect square is not possible.   If we take 71, the pair is 69 and 71, meaning x = 35.   8x = 8*35   Reject since perfect square is not possible.   I tried each option and the possibilities and then got lost.   Then, it occurred to me that I was only checking 2-digit integers. What about 3-digits?   Starting with option a, only 2-digit odd integer whose sum is 2 is 101.   If we take 101, the pair is 99 and 101, meaning x = 50.   8x = 8*50= 
8*50 = 400
400   root of 400= 20 which is indeed equal to 9+9+1+1.   X=2nswer (X=2).
Answer: A
John and Karen begin running at opposite ends of a trail until they meet somewhere in between their starting points. They each run at their respective constant rates until John gets a cramp and stops. If Karen runs 50% faster than John, who is only able to cover 25% of the distance w before he stops, what percent longer would Karen have run than she would have had John been able to maintain his constant rate until they met. Pick one.
A) 25%
B) 50%
C) 75%
D) 100%
E) 200%

Solution: John and Karen begin running at opposite ends of a trail until they meet somewhere in between their starting points. They each run at their respective constant rates until John gets a cramp and stops. If Karen runs 50% faster than John, who is only able to cover 25% of the distance w before he stops, what percent longer would Karen have run than she would have had John been able to maintain his constant rate until they met.   Lets say the distance of the trail is 100 miles. Lets also say that J rate = 10 miles/hour and K rate = 15 miles/hour.   If John stops at the 25% mark that means he travels 25 miles in 2.5 hours. It would take Karen t=d/r t=75/15= 
75/15 = 5
5 hours to reach john. If John had not stopped, their combined rate would 10+15= 
10+15 = 25
25 miles/hour meaning they would have met in 4 hours. Therefore, she ran one hour longer (25%) longer than she would have needed to if John ran for the entire time.   25%NSWER: 25%) 25%
Answer: A
If 1+2+3+...+n=n (n+1), then 3 (1+3+5+....+79)=?	Options:
A) 4500
B) 4250
C) 4350
D) 4800
E) 4150

Solution: Explanation :   To solve this use the formula of AP,   Sn= (n/2)(a+l) ................(1)   To find n, use   => Tn= a+(n-1)d   => 79=1+(n-1)2   => n=40   Use value of n in (1)   then,   Sn = (40/2)(1+79) = 1600   Ans:- 3(Sn) = 4800   Answer : 4800
Answer: D
Look at this series: 72, 76, 73, 77, 74, __, 75, ... What number should fill the blank?	Choose the correct choice from the following choices
A) 70	B) 71	C) 75	D) 78	E) 79

Solution: Explanation: This series alternates the addition of 4 with the subtraction of 3.   Answer: Option 78
Answer: D
Find large number from question the difference of two numbers is 1365.On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder?  Choose the correct choice from the following.
A) 1235	B) 1455	C) 1535	D) 1615	E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 15   5x = 1350   x = 270   Large number = 270+1365= 
270+1365 = 1_635
1635   1635
Answer: E
In a friendship gang Raja has 9 gang, in how many ways can he invite one or more of the gang to his house?	Choose one:
A) 124 B) 587 C) 987 D) 511 E) 263

Solution: Raja can select one or more than one of his 8 gang.   => Required number of ways = 2^9 – 1= 511.   511
Answer: D
The average height of 20 girls out of a class of 50 is 142 cm. and that of the remaining girls is 149 cm. The average height of the whole class is :  Choose the correct choice
A) 146.2 cms	B) 146.5 cms	C) 146.9 cms	D) 142.2 cms	E) 136.2 cms

Solution: Explanation:   146.2 cmsverage height of the whole class =(20×142+30×149/50)=146.2 cms   146.2 cmsnswer 146.2 cms
Answer: A
A certain bag contains 60 balls — 22 white, 18 green, 5 yellow, 6 red, and 9 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple? Choose the correct choice from the following answers:
A) 0.09 B) 0.15 C) 0.54 D) 0.75 E) 0.91

Solution: According to the stem the ball can be white, green or yellow, so the probability is (white + green + yellow)/(total) = (22 + 18 + 5)/60 = 45/60 = 0.75.   Answer: 0.75.
Answer: D
A boy runs 200 metres in 60 seconds. What is his speed ? Choose the correct answer.
A) 12 km/hr	B) 24 km/hr	C) 13 km/hr	D) 14 km/hr	E) 16 km/hr

Solution: 200/60 * 18/5= 
200/60 * 18/5 = 12
12 km/hr   12 km/hrNSWER:12 km/hr
Answer: A
In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 75 percent of the Republicans and 15 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election?  Choose one:
A) 2%  B) 5%  C) 8%  D) 10%  E) 15%

Solution: Since we were expected to find a percentage figure - It thought that it might be easier to pick a 'smart number' to represent the total number of voters (republicans and democrats). Therefore, I picked 100 (as the total number of voters) and thus 3:2 ==60:40 represents the number ratio of Republicans:Democrats. If 75% of Republicans (which is (60*0.75)= 
(60*0.75) = 45
45) and 15% of Democrats (40*0.15= 6) voted for candidate X, means that out of total of 100 voters; 51 (45 + 6) voters voted for candidate X and 49 voted for candidate Y. Thus we can infer that candidate X is expected to win the election by 2 (51-49) votes. Therefore candidate X is expected to win the election by (2/100) votes which is equivalent to 2%.   I think the answer is 2%.
Answer: A
A man spends 50% of his income on food, 15% on children education and 50% of the remaining on house rent. What percent of his income he is left with?	Choices.
A) 17.5%
B) 16%
C) 15.4%
D) 12.6%
E) 13.5%

Solution: Let the total income be x   then, income left = (100-50)% of x - [100-(50+15)]% of x = 50% of 35% of x = 17.5% of x   17.5%nswer is 17.5%
Answer: A
There are 12 points in a given plane, no three of which are on the same line. If one of the points is represented as 'A', then how many triangles can be determined with the 12 points that contain the point A?  Choose the correct choice from the following answers:
A) 55 B) 105 C) 182 D) 210 E) 455

Solution: Any 2 points out 11 points will create triangle with third point A, so the answer is 11C2=55.   55nswer: 55.
Answer: A
The monthly income of Suman in the year 2009 was approximately what percentage of the monthly income of Jyothi in the year 2010? Select:
A) 22
B) 27
C) 26
D) 29
E) 21

Solution: Answer:26
Answer: C
Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Choose one:
A) 906	B) 900	C) 960	D) 450	E) 280

Solution: Explanation:   Distance= speed * Time   60(x + 1) = 64x   X = 15   60 * 16= 
60 * 16 = 960
960 km   Answer: 960
Answer: C
The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?	Choose the correct answer.
A) 432
B) 197
C) 279
D) 269
E) 207

Solution: 2(3x + x) = 96   l = 36 b = 12   lb = 36 * 12= 
36 * 12 = 432
432   432nswer: 432
Answer: A
The letters B,G,I,N and R are rearranged to form the word 'Bring'. Find its probability. Choose the correct choice from the following options
A) 1/120  B) 1/235  C) 1/24  D) 1/76  E) 1/53

Solution: Explanation :   There are total 5 letters. The probability that B gets the first position is 1/5.   The probability that G is in the second position is 1/4.   Likewise, probability for I,N and G are 1/3, 1/2 and 1/1.   Hence, the required probability is:-   => (1/5) x (1/4) x (1/3) x (1/2) x 1.   => 1/120.   1/120nswer : 1/120
Answer: A
What is the 25th digit to the right of the decimal point in the decimal form of 6/11?	Choose the correct choice from the following answers.
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: Explanation:   To determine the greatest possible number of members, first recognize that each member had to contribute the lowest amount given. Build an inequality for the individual contributions and the total amount collected, with n=the number of members in the club, and solve for n.   12n≤599   n≤49 11/12   Since n represents individual people it must be a whole number. Thus the greatest number of people is 49.   Answer: Option 5
Answer: C
On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 19 more transactions than Cal. How much transactions did Jade handled?  Choose the correct choice from the following choices:
A) 80  B) 81  C) 82  D) 83  E) 85

Solution: Solution:   Mabel handled 90 transactions   Anthony handled 10% more transactions than Mabel   Anthony = 90 + 90 × 10%   = 90 + 90 × 0.10   = 90 + 9= 
90 + 9 = 99
99   Cal handled 2/3rds of the transactions than Anthony handled   Cal= 2/3 × 99   = 66   Jade handled 19 more transactions than Cal.   Jade = 66 + 19= 
66 + 19 = 85
85   Jade handled= 85 transactions.   Answer: 85
Answer: E
Subtracting 10% from X is the same as multiplying X by what number?
Options.
A) 70%  B) 90%  C) 50%  D) 97%  E) 10%

Solution: X - (10/100) X = X * ?   ? = 90%   Answer: 90%
Answer: B
In the simple subtraction problem below some single digits are replaced by letters .Fined the value of 7A+5D+6CD?  Choose the correct choice:  A) 288  B) 3799  C) 277  D) 278  E) 7A+5D+6CD=240

Solution: 15 - 7= 
15 - 7 = 8
8 So D= 8   10 + (C -1) - 8 = 4 So C = 3   10 + (5-1) - B = 7 So B = 7   (A-1) - 1 = 6 So A = 8   7A + 5D + 6CD = 56 + 40 + 144= 
56 + 40 + 144 = 240
240   Answer:7A+5D+6CD=240
Answer: E
Caleb spends $74.50 on 50 hamburgers for the marching band. If single burgers cost $1.00 each and double burgers cost $1.50 each, how many double burgers did he buy?	Options.
A) 5
B) 10
C) 20
D) 40
E) 49

Solution: Solution -   Lets say, Single hamburgersxand Double hamburgersy   Given that,   x+y=50 and 1x+1.5y=74.50. By solving the equations y=49. ANS 49.
Answer: E
A girl has exactly 6 quarters, 6 dimes, and 10 nickels in her pocket. If she withdraws a number of these coins at random, how many coins would she have to withdraw to ensure that she has at least a 50 percent chance of withdrawing at least one quarter?	Pick one:	A) 1	B) 2	C) 3	D) 4	E) 5

Solution: When the probability of NOT drawing a quarter is 50% or less, then the probability of drawing a quarter is at least 50%.   P(not drawing a quarter with 2 coins) = 16/22 * 15/21 = 40/77 > 50%   P(not drawing a quarter with 3 coins) = 40/77 * 14/20 = 4/11 < 50%   The answer is 3.
Answer: C
In a ratio which is equal to 4:6, if the antecedent is 20, then the consequent is?
Pick one:
A) 72  B) 85  C) 30  D) 51  E) 45

Solution: We have 4/6 = 20/x   4x = 20*6   x = 30   consequent = 30   Answer is 30
Answer: C
A certain team has 14 members, including Joey. A three-member relay team will be selected as follows: one of the 14 members is to be chosen at random to run first, one of the remaining 13 members is to be chosen at random to run second, and one of the remaining 12 members is to be chosen at random to run third. What is the probability that Joey will be chosen to run second or third?
Pick one.
A) 1/3  B) 2/5  C) 1/6  D) 1/7  E) 5/14

Solution: Each member has an equal probability to run second (1/14) or third (1/14).   The probability that Joey runs second or third is 1/14 + 1/14 = 1/7   The answer is 1/7.
Answer: D
When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?  Choices.
A) Rs. 21,000 B) Rs. 22,500 C) Rs. 25,300 D) Rs. 25,800 E) Rs. 55,800

Solution: Explanation :   Let the C.P. of the plot = Rs. x   Given that x - 15% of x = 18700.   => (85/100) * x = 18700   => x = 22000   So the cost price (C.P.) of the plot = Rs. 22000   S.P. of plot for 15% profit = 22000 + 15% of 22000 = 22000*(115/100)= 
22000*(115/100) = 25_300
25300   Answer : Rs. 25,300
Answer: C
The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 60 percent of b, what is the value of m/x?  Select the correct option:
A) 1/3	B) 2/5	C) 3/4	D) 3/2	E) 2/3

Solution: a/b = 4/5   m/x = (2/5)*5 / (5/4)*4 = 2/5   The answer is 2/5.
Answer: B
The sum of two consecutive integers is 61. Find the numbers.
Pick:
A) 17, 18	B) 30,31	C) 5, 6	D) 1, 2	E) 8, 9

Solution: n + (n + 1) = 61   2n + 1 = 61   2n = 60   n = 30   Answer: 30,31
Answer: B
Average between 2 sets of numbers is closer to the set with more no's?
Choose the correct choice from the following answers:
A) 70  B) 80  C) 90  D) 92  E) 94

Solution: If on a test three people answered 90% of the questions correctly and two people answered 80% correctly, then the average for the group is not 85% but rather 3×90+2×805=4305=86.3×90+2×805=4305=86.   Here, 90 has a weight of 3 => it occurs 3 times.   Whereas 80 has a weight of 2 => it occurs 2 times.   So the average is closer to 90 than to 80 as we have just calculated.   80
Answer: B
If the wheel is 14 cm then the number of revolutions to cover a distance of 1408 cm is?  Choose the correct choice from the following answers:
A) A)16
B) B)10
C) C)14
D) D)12
E) E)11

Solution: 2 * 22/7 * 14 * x = 1408 => x = 16   16NSWER:16
Answer: A
If it takes a machine 4⁄5 minute to produce one item, how many items will it produce in 2 hours?  Choose one:
A) 1⁄3  B) 150  C) 80  D) 120  E) 180

Solution: 1 item takes 4/5 min so it takes 120 min to produce x   4x/5=120 the x=150   Answer:150
Answer: B
If points A and B are (4+1) units apart, which of the following can have only one possible value?
I. The area of a square region with side AB
II. The circumference of a circle passing through points A and B
III. The area of a rectangular region with diagonal AB Pick one.
A) I only	B) II only	C) III only	D) I and II only	E) I and III only

Solution: I. The area of a square region with side AB --> side=AB=(4+1) or 5 --> the area of a square is 5^2=25, so only one possible value;   II. The circumference of a circle passing through points A and B --> circle is not defined by only two points, hence the circumference of a circle passing through points A and B can take infinitely many values. For example consider when AB=diameter and when points A and B are not the endpoints of the diameter;   III. The area of a rectangular region with diagonal AB --> consider the case when AB is the diagonal of a square (the area is 25/2) and the case when AB is the diagonal of a rectangle with the sides equal to 3 and 4 (the area 12).   I onlynswer: I only.
Answer: A
In a party attended by 10 persons, each clinch their glass with every other. How many glass clinches?  Choose the correct choice from the following answers
A) 45	B) 52	C) 53	D) 54	E) 55

Solution: Total no. of person = 11   Total no. of glass clinches = n(n-1)/2   =10*9/2= 
10*9/2 = 45
45   45NSWER:45
Answer: A
If the positive integer y is divisible by 3, 8, and 12, then which of the following must y be divisible by?
I. 24
II. 36
III. 48
Choose the correct choice.
A) I only B) II only C) I and II only D) II and III only E) I, II, and III

Solution: y needs to be divisible by 3, 8 and 12. This means that it must be the LCM of 3, 8 and 12 or a multiple of the LCM. The LCM is the smallest number which is divisible by all 3 numbers.   LCM of 3, 8 and 12 will be 3*8= 
3*8 = 24
24   Now y must be either 24 or a multiple of 24. In any case it will always be divisible by 24.   Will it be divisible by 36 necessarily? No. Say if y is 24, it will not be divisible by 36.   Will it be divisible by 48 necessarily? No. Say if y is 24, it will not be divisible by 48.   I onlynswer (I only)
Answer: A
How many possible integer values are there for x if |6x - 3| < 6 ?
Choices:	A) One	B) Two	C) Three	D) Four	E) Five

Solution: Solution: |6x-3| < 6   let 6x=a therefore we have |a-3| < 6 ==> read this as origin is at +3 and we have to move +6 to the right and -6 to the left   (the less than sign represents that the a must be within boundaries )   (3-6)----------3----------(3+6)   now, we have -3<a<9   but a =6x ==> -3<6x<9   dividing all values by +4 we have -0.5 <x < 1.5   Now question says Integer values (not rational ) therefore we have 0,1   Hence 2 Two
Answer: B
At what rate percent per annum will a sum of money double in 8 years.	Choose one.
A) 12.5%
B) 13.5%
C) 11.5%
D) 14.5%
E) 24.5%

Solution: Explanation:   Let principal = P, Then, S.I.=P and Time=8 years   Rate = [(100 x P)/ (P x 8)]% = 12.5% per annum.   12.5%nswer: 12.5%
Answer: A
The L.C.M of two numbers is 48. The numbers are in the ratio 1:2. The sum of numbers is: Pick.
A) 28 B) 30 C) 40 D) 50 E) 72

Solution: Let the numbers be 1x and 2x.   Then, their L.C.M = 2x. So, 2x = 48 or x = 24.   The numbers are 24 and 48.   Hence, required sum = (24 + 48)= 
(24 + 48) = 72
72.   ANSW72R:72
Answer: E
225 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Choose the correct choice.
A) 10  B) 12  C) 15  D) 17  E) 18

Solution: 26 trees have 25 gaps between them,   Required distance (225/25) = 10   10
Answer: A
How many multiples of 5 are there between 5 to 100?
Choose the correct choice from the following options
A) 9
B) 18
C) 17
D) none of these
E) Cannot be determined

Solution: Explanation :   As you know, multiples of 5 are integers having 0 or 5 in the digit to the extreme right (i.e. the units place).   So the numbers are 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95.   Answer : 18
Answer: B
If V is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of V?
Choose the correct choice from the following options
A) 10	B) 12	C) 14	D) 16	E) 18

Solution: V = 30!   8   V = 30 x 29 x 28 x 27 x 26 x 25 x 24 x 24 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 09 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1   Out of these 30 , 27 , 24 , 21 , 18, 15 , 12 , 09 , 06 , 3 are factors of 3   3 x 10 , 3 x 3 x 3 , 3 x 8 , 3 x 3 x 2, 3 x 5 , 3 x 4 , 3 x 3 x 3 , 3 x 2 , 3   So we have a total of 14 three's ...   Therefore the maximum value of K can be 14 (14)
Answer: C
Which of the following is the equation of the line in the xy-plane that has slope 0
(I) x = 3
(II) y = 3
(III) x + y = 0  Choose the correct choice from the following: A) II B) I C) III D) I&II E) II&III

Solution: y =mx+c therefore y-c= mx then m =(y-c)/x   m=0 means y = c constant ..= II   II
Answer: A
The cost of the paint is rs.20 per kg. if 1kg of paint covers 15 sq.ft, how much will it cost to paint outside of a cube having 5 feet each side  Options:
A) Rs.200
B) Rs.672
C) Rs.546
D) Rs.876
E) None of these

Solution: Explanation:   surface area of a cube= 6 x 5^2 = 150 sq.ft   quantity of paint required=(150/15)= 
(150/15) = 10
10 kg   cost of painting= 20 x 10 = Rs.200   Rs.200nswer: Rs.200
Answer: A
Find the average of first 30 natural numbers.	Pick: A) 20.5 B) 15.5 C) 19.5 D) 19 E) 17

Solution: Exp. Sum of first n natural numbers = n( n+1)/2   So, sum of first 30 natural numbers = 30*31/2= 
30*31/2 = 465
465   Required average=465/30= 
465/30 = 31/2 = around 15.5
15.5   Answer:15.5
Answer: B
If there are 56 laborers in a crew, and on a certain day, 30 were present. Calculate the percentage that showed up for work? (round to the nearest tenth).	Choose the correct choice from the following
A) 53.6%	B) 52.6%	C) 54.6%	D) 55.6%	E) 59.6%

Solution: 30/56*100=53.57   53.6%   correct answer 53.6%
Answer: A
A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done? Choose the correct answer:
A) 15 days	B) 14 days	C) 13 days	D) 11 days	E) 10 days

Solution: Explanation:   x/24 + x/30 + x/40 = 1   x = 11 days   Answer: 11 days
Answer: D
Two horses begin running on an oval course at the same time. One runs each lap in 8 minutes; the other takes 12 minutes to run each lap. How Many minutes after the start will the faster horse have a one lap lead?	Choose the most appropriate option.
A) 24	B) 12	C) 9	D) 4	E) 3

Solution: The rate of the faster horse is 1/8 lap/minute;   The rate of the slower horse is 1/12 lap/minute;   Their relative rate is 1/8-1/12=1/24 lap/minute;   The faster horse to gain one full lap will need time=distance/rate=1/(1/24)= 
1/(1/24) = 24
24 minutes.   24nswer: 24.
Answer: A