MU-NLPC/Calc-aqua_rat huggingface dataset:
The difference between a two-digit number and the number obtained by interchanging the digit is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1:2?  Select the correct option:
A) 4  B) 8  C) 16  D) 24  E) None of these

Solution: Since the number is greater than the number obtained on reversing the digits, so the ten's digit is greater than the unit's digit.   Let the ten's and unit's digits be 2x and x respectively.   Then, (10 * 2x + x) - (10x + 2x) = 36   9x = 36   x = 4   Required difference = (2x + x) - (2x - x) = 2x = 8.   ANSWER:8
Answer: B
There are 870 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?	Pick:
A) 75
B) 100
C) 125
D) 175
E) 145

Solution: Let m be the number of male participants and f be the number of female articipants in the meeting. Thetotal number of participants is given as 870.   Hence, we have m+f= 870   Now, we have that half the female participants and one-quarter of the male participants are Democrats.   Let d equal the number of the Democrats.   Then we have the equation f/2 + m/4 =d   Now, we have that one-third of the total participants are Democrats. Hence, we have the equation   d = 870/3= 
870/3 = 290
290   Solving the three equations yields the solution   f= 290,m= 580, and d= 290.   The number of female democratic participants equals half the female participants equals   290/2= 
290/2 = 145
145.   ANSW145R:145
Answer: E
12.5 * 4.2 * 8.8 = ?
Select
A) 352  B) 435  C) 462  D) 646  E) 742

Solution: 462   462   ? = 12.5 * 4.2 * 8.8= 
12.5 * 4.2 * 8.8 = 462
462
Answer: C
15 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books of each type?	Choose the correct choice from the following answers:
A) 80
B) 160
C) 720
D) 2100
E) 2940

Solution: No. of ways of picking 2 biology books(from 15 books) = 15c2 = (15*14)/2= 
(15*14)/2 = 105
105   No. of ways of picking 2 chemistry books(from 8 books)= 8c2 = (8*7)/2= 
(8*7)/2 = 28
28   Total ways of picking 2 books of each type= 105*28= 
105*28 = 2_940
2940   (Option 2940)
Answer: E
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train? Choose the correct answer: A) 49 sec B) 50 sec C) 48 second D) 43 sec E) 32 sec

Solution: D = 540 + 180= 
540 + 180 = 720
720   S= 54 * 5/18= 
54 * 5/18 = 15
15 mps   T= 720/15= 
720/15 = 48
48 sec   Answer:48 second
Answer: C
50% of a number is added to 200, the result is the same number. Find the number?	Select
A) 300  B) 288  C) 400  D) 129  E) 281

Solution: (50/100) * X + 200 = X   x/2 +200 = x   x+400=2x   x=400   Answer : 400
Answer: C
What is the probability of getting a number less than 4 when a die is rolled?	Choose one: A) 1/2 B) 1/6 C) 1/3 D) 1/4 E) 1/5

Solution: Total number of outcomes possible when a die is rolled = 6 (âˆµ any one face out of the 6 faces)   i.e., n(S) = 6   E = Getting a number less than 4 = {1, 2, 3}   Hence, n(E) = 3   P(E) = n(E)/n(S)=3/6=1/2   1/2nswer:1/2
Answer: A
The numbers {1, 3, 6, 7, 7, 7} are used to form three 2-digit numbers. If the sum of these three numbers is a prime number p, what is the largest possible value of p?
Choose the correct answer:  A) 97  B) 151  C) 209  D) 211  E) 219

Solution: What is the largest possible sum of these three numbers that we can form? Maximize the first digit: 76+73+71= 
76+73+71 = 220
220=even, so not a prime. Let's try next largest sum, switch digits in 76 and we'll get:  67+73+71= 
 67+73+71 = 211
211=prime.   Answer: 211.
Answer: D
Worker A takes 7 hours to do a job. Worker B takes 10 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?	Choose the correct choice from the following options:
A) 70/17
B) 40/9
C) 50/9
D) 60/9
E) 80/9

Solution: one day work of 70/17 = 1/7   one day work of B = 1/10   so one day work of 70/17 and B together = 1/7 + 1/10 = 17/70   so total days required = 70/17   70/17NSWER:70/17
Answer: A
A rower whose speed is 8 km/hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 4 km/hr. What is the rower's average speed (in km/hr) for the total journey?  Choose the correct option
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: time upstream = d / 4   time downstream = d / 12   total time = d/4 + d/12 = d/3   average speed = 2d / (d/3) = 6 km/hr   The answer is 6.
Answer: B
A , B , C started a partnership business by investing Rs 27000 , 72000 , 81000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?	Choose the correct choice from the following
A) 80000  B) 90000  C) 70000  D) 120000  E) None of these

Solution: Explanation :   A:B:C = 27000:72000:81000   = 3:8:9   Let the total profit= p   Then p * 9/20 = 36000   => p = 36000*20/9= 
36000*20/9 = 80_000
80000. 80000nswer : Option 80000
Answer: A
Mike drives his new Corvette from San Francisco to Las Vegas, a journey of 640 miles. He drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. If the second half of the trip takes him 200 percent longer than the first half, what is his average rate J in miles per hour for the entire trip?
Choose the correct choice from the following choices.
A) 26.7  B) J=30.0  C) J=40.0  D) J=53.3  E) 60.0

Solution: VERITAS PREPOFFICIAL SOLUTION   Correct Answer: C   Using the formula: Time = Distance/Rate, we find that Mike takes 4 hours to cover the first 320 miles of his trip. Since the 2nd 320 miles take 200% longer than the first, it takes Mike 8 hours longer, or 12 hours. (Note: 200% longer than the first half is not 200% of the first half.) The overall time is 4 hours + 12 hours or 16 hours. Since the definition of Average Rate = Total Distance Traveled/Total Time of Travel, Mike's average rate = 640/16 or 40 miles per hour.   Answer choice J=40.0 is correct.
Answer: C
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 6?	Choose the correct choice from the following choices
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: i'm not sure i got the question right, if it is what i think it is, then 4 should be the right answer   0,1,2, will not have 2 slip sum it 6,add another (either 6,7,8 or 9) and we'll have a pair with sum 6   Ans:4
Answer: B
How many 4digit no.'s can be formed using the digits {1, 3, 4, 5, 7,9}repetition of digits is not allowed?	Choose the correct choice from the following choices
A) 200
B) 220
C) 240
D) 250
E) 360

Solution: The given digits are six.   The number of four digit numbers that can be formed using six digits is 6P4 = 6 x 5 x 4 x 3 = 360.   360
Answer: E
A man buys oranges at Rs 5 a dozen and an equal number at Rs 4 a dozen. He sells them at Rs 5.50 a dozen and makes a profit of Rs 50. How many oranges does he buy? Choose the correct option
A) 30 dozens	B) 40 dozens	C) 50 dozens	D) 60 dozens	E) 70 dozens

Solution: Explanation:   Cost Price of 2 dozen oranges Rs. (5 + 4) = Rs. 9.   Sell price of 2 dozen oranges = Rs. 11.   If profit is Rs 2, oranges bought = 2 dozen.   If profit is Rs. 50, oranges bought = (2/2) * 50= 
(2/2) * 50 = 50
50 dozens. Answer: 50 dozens
Answer: C
Five years ago, the average age of A, B, C and D was 45 years. With E Joining them now, the average of all the five is 48 years. The age of E is?	Select
A) 45
B) 47
C) 48
D) 49
E) 40

Solution: Solution   5 years ago average age of A,B,C,D = 45 years   => 5 years ago total age of A, B, C, D = 45 x 4 = 180 years   => Total present age of A, B, C, D = 180 + 5x4 = 200 years   If E's present age is x years = 200+x/5= 48   x=40 years. Answer 40
Answer: E
The average of first seven prime numbers which are odd is?
Select.
A) 12.2
B) 11.5
C) 9.5
D) 10.1
E) 10.7

Solution: Explanation:   Sum of first 10 prime no. which are odd = 75   Average = 75/7 = 10.7   Answer:10.7
Answer: E
A side of beef lost 35 percent of its weight in processing. If the side of beef weighed 570 pounds after processing, how many pounds did it weigh before processing?  Choose the correct choice from the following answers.
A) 191 B) 355 C) 737 D) 876 E) 1,560

Solution: Let weight of side of beef before processing = x   (65/100)*x = 570   => x = (570 * 100)/65 = 876   Answer 876
Answer: D
The ratio of three numbers is 5:1:4 and their sum is 1000. The last number of the three numbers is? Select the correct option:
A) 24 B) 26 C) 27 D) 400 E) 30

Solution: 5:1:4   Total parts = 10   10 parts --> 1000   1 part ---->100   The last number of the three numbers is = 4 * 100= 
4 * 100 = 400
400   Answer : 400
Answer: D
A man goes 6 km against the current of the stream in 3 hr and goes 2 km along the stream in 30 min. How long will it take to go 4 km in stationary water? Choose the most appropriate option.
A) 1 hr 20 min	B) 1 hr 40 min	C) 2 hr 30 min	D) 3 hr 20 min	E) None of these

Solution: Explanation:   Speed up stream = 6/3= 
6/3 = 2
2 km/hr   Speed down stream= 2/(1/2)= 
2/(1/2) = 4
4 km/hr   Speed in still water= 1/2(2+4) = 6/2= 
6/2 = 3
3 km/hr   Time taken to travel 4 km in still water is= 4/3 = 1 (1/3) hr = 1 hr 20 min   1 hr 20 minnswer: Option 1 hr 20 min
Answer: A
There were 45 students in a hostel, if the numbers of students increased by 7, the expenses of the mess were increased by Rs. 39 per day while the average expenditure per head diminished by Re.1. What is the original expenditure of the mess? Pick one:
A) 575
B) 585
C) 595
D) 625
E) 555

Solution: Explanation:   Let the original expenditure be Rs.x   Original average expenditure = X/45   New average expenditure = (x+39)/52   So (x/45) – ((x+39) / 52) = 1 so x = 585   so, original expenditure is Rs 585   Answer: 585
Answer: B
A train covers a distance of 12 km in 10 minutes. If it takes 4 seconds to pass a telegraph post, then the length of the train is  Answers
A) 80m B) 120m C) 140m D) 160m E) 170cm

Solution: Explanation:   Speed =12/10x 60 km/hr = 72 x5/18m/sec = 20 m/sec.   Length of the train = (Speed x Time) = (20 x 4) m = 80 m   80mnswer: Option 80m
Answer: A
What least number should be subtracted from 997 so that the remainder when divided by 5, 9, and 11 will leave in each case the same remainder 3 ?	Select:
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: The LCM of 5,9 and 11 is 495. The next multiple is  2*495= 
 2*495 = 990
990.   990 + {remainder}= 990 + 3= 
990 + 3 = 993
993, which is 4 less than 997.   Answer: 4.
Answer: D
Bert left the house with N dollars. He spent 1/4 of this at the hardware store, then $8 at the dry cleaners, and then half of what was left at the grocery store. When he got home, he had $10 left in his pocket. What was the value of N? Choose the correct choice from the following choices:
A) $32	B) $36	C) $52	D) $60	E) $68

Solution: started to test answer B   if he had 36, then he spent 9 at hardware store   now he was left with 27$   he spent 8 dollars on cleaning, thus he remained with 19$   he then spent 1/2 of 19, or 9.50,   hence, the only option that can be right is A.   $32NS $32
Answer: A
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 25 hours and 16 hours respectively. The ratio of their speeds is?
Answers:
A) 4:6 B) 4:3 C) 4:9 D) 4:5 E) 4:2

Solution: Let us name the trains A and B.   Then, (A's speed) : (B's speed)   = âˆšb : âˆša = âˆš16 : âˆš25 = 4:5.Answer:4:5
Answer: D
Set #1 = {A, B, G, F, E}
Set #2 = {K, L, M, N, O, Q}
There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?  Choose one:
A) 1/2  B) 1/3  C) 1/4  D) 1/6  E) 1/7

Solution: At least questions are best solved by taking the opposite scenario and subtracting it from 1. Probability of choosing no vowel from set 1 is 3/5 and set 2 is 5/6. Multiply these to get 1/2. Therefore, probability of picking at least one vowel = 1-1/2=1/2.
Answer: A
In a certain company, the formula for maximizing profits is P = -25x^2 + 7500x,, where P is profit and x is the number of machines the company operates in its factory. What value for x will maximize P?
This one is from IntegratedLearning.
Here's what I did:
The OA states: To find a maximum or minimum value of an equation with an exponent in it, you take the derivative of the equation, set it to zero, and solve. I dont really get what that means. So whoever solves it, could you plz post explanation of what the above sentence mean as well? Choose one.
A) 10 B) 50 C) 150 D) 200 E) 300

Solution: Recognize that 25 is a factor of 7500. If we take this out, we have two parts to the equation:   -X^2300X   One part of the equation brings our value down, whereas the other part brings our value up. At this point, we can test the numbers in the answer choice. Notice that they are very straight forward to square, and multiplication by 300 is very easy.   A) 10 - 3000 - 100 = 2900   B) 50 - 15000 - 2500 = 12500   C) 150 - 45000 - 22500 = 22500   D) 200 - 60000 - 40000 = 20000   E) 300 - recognize that this is zero   Therefore, answer is 150.   Hope this helps those - like myself - who haven't thought about calculus for over half a decade.150
Answer: C
The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:
Choose the correct answer:
A) 850	B) 525	C) 550	D) 750	E) 950

Solution: Speed = [90 * 5/18] m/sec = 25 m/sec; Time = 1 min. = 60 sec.   Let the length of the train and that of the platform be x meters.   Then, 2x/60 = 25 è x = 25 * 60 / 2= 
25 * 60 / 2 = 750
750   ANSWER:750
Answer: D
Ramu crosses a 1000 m long street in 10 minutes. What is his speed in km per hour?  Choose the correct choice from the following answers.
A) 5.6km/hr  B) 7.2km/hr  C) 3.6km/hr  D) 5.9km/hr  E) 10km/hr

Solution: Speed =1000/10 *60 = 1.66m/sec   Converting m/sec to km/hr .   =1.66*18/5=5.9km/hr   Answer is 5.9km/hr
Answer: D
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Choose the correct choice from the following answers: A) 228 B) 277 C) 288 D) 270 E) 128

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 26 sec.   Let the length of the train be x meters.   Then, (x + 250)/26 = 20   x = 270 m. Answer: 270
Answer: D
A train 150 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Choose the correct choice from the following answers
A) 5 sec B) 9 sec C) 12 sec D) 15 sec E) 18 sec

Solution: Speed of the train relative to man = (68 - 8) kmph   = (60* 5/18) m/sec = (50/3)m/sec   Time taken by the train to cross the man   = Time taken by It to cover 150 m at 50/3 m / sec = 150 *3/ 50= 
150 *3/ 50 = 9
9sec   Answer : 9 sec.
Answer: B
Working alone, A can complete a certain kind of job in 12 hours. A and D, working together at their respective rates, can complete one of these jobs in 4 hours. In how many hours can D, working alone, complete one of these jobs?  Choose the correct choice from the following answers.
A) 1  B) 3  C) 4  D) 6  E) 9

Solution: Let total time taken by S to complete the job = S   total time taken by A to complete the job = 12   Work done by A in an hour   1/A = 1/12   Working together A and 6 can complete the job in 4 hours   1/A + 1/6 = 1/4   =>1/6 = 1/4 - 1/12   = 1/4 - 1/12   = 1/6   => 6 = 6 hours   Answer 6
Answer: D
A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?	Pick one:	A) 9 ½ sec	B) 5 ½ sec	C) 6 ½ sec	D) 8 ½ sec	E) 2 ½ sec

Solution: 8 ½ sec = 170   S = 72 * 5/18= 
72 * 5/18 = 20
20 mps   T= 170/20 = 8 ½ sec   Answer:8 ½ sec
Answer: D
Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?  Pick
A) 9 B) 8 C) 7 D) 6 E) 4

Solution: Explanation:   x – y = 5   4x – 6y = 6   x = 12 y = 7   Answer: Option 7
Answer: C
A coin is tossed 4 times. What is the probability x that the number of Heads is equal to the number of Tails? Choose one.
A) 1/8
B) 1/4
C) 3/8
D) 1/2
E) 9/16

Solution: We have to find the probability that we get 2 heads and 2 tails in 4 tosses of the coin.   Using the binary formula and defining a head as a success,   P(2 heads in 4 tosses) = 43/82* (1/2)^2 * (1/2)^2   x= 6/16   = 3/8   The answer is therefore (3/8)
Answer: C
How many two letter words are formed using the letters of the word MACHINE?	Select: A) 52 B) 56 C) 38 D) 42 E) 48

Solution: The number of letters in the given word is seven.   The number of two letter words that can be formed using these seven letters is 7P2   = 7 * 6= 
7 * 6 = 42
42.   Answer: 42
Answer: D
If 9 persons can do 9 times of a particular work in 9 days, then, 7 persons can do 7 times of that work in?  Select:
A) 2 days B) 3 days C) 5 days D) 7 days E) 9 days

Solution: That is, 1 person can do one time of the work in 9 days.   Therefore, 7 persons can do 7 times work in the same 9 days itself.   9 days)
Answer: E
A boat running up stram takes 6 hours to cover a certain distance, while it takes 9 hours to cover the same distance running down stream. what is the ratio between the speed of the boat and the speed of water current respectively?	Options.
A) 2 : 3  B) 5 : 1  C) 4 : 5  D) 7 : 1  E) 8 : 1

Solution: Explanation:   Let speed of boat is x km/h and speed stream is y km/hr   6(x+y) = 9(x-y)   6x+6y = 9x-9y   15y = 3x   5y = x   x/y = 5/1   5 : 1   Answer: Option 5 : 1
Answer: B
The average of 20 numbers is zero. Of them, How many of them may be greater than zero, at the most?	Choose the correct choice from the following choices:
A) 1
B) 20
C) 0
D) 19
E) 18

Solution: Explanation:   Average of 20 numbers = 0   =>Sum of 20 numbers/20=0   Hence at the most, there can be 19 positive numbers.   (Such that if the sum of these 19 positive numbers is x, 20th number will be -x)   ANSWER IS 19
Answer: D
At the end of the first quarter, the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 50 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?	Choose the correct choice from the following options.
A) 20%  B) 25%  C) 30%  D) 33%  E) 40%

Solution: Say price at the beginning of year = 100   End of 1st Quarter = 100+20= 
100+20 = 120
120   End of 2nd Quarter= 100+50= 
100+50 = 150
150   Percentage increase between 1st & 2nd Quarter=150−120/120∗100=25   Answer = 25%
Answer: B
Which of the following is a prime number ? Choose the correct answer:
A) 27  B) 45  C) 97  D) 98  E) 100

Solution: 97learly, 97 is a prime number.
Answer: C
A cistern can be filled by pipes A, X in 3 minutes 45 seconds. If the larger pipe takes 4 minutes less than the smaller pipe to fill the cistern, how much time will the smaller pipe take to fill the tank? Choose the correct answer:
A) 12min	B) 6min	C) 10min	D) 8min	E) 9min

Solution: let A is larger pipe and X is smaller then,   let time taken to X = t   then time taken to A= t-4   so efficiency of X=t-4   and efficiency of A=t   using formula time= total work/total efficiency   total work =t(t-4)   total time= 3 + 45/60= 15/4   using formula   15/4=t(t-4)/(t+t-4)   by solving it   t=10 min   so smaller pipe take 10 mins.   ANSWER:10min
Answer: C
How many even integers from 1 to 200 (both inclusive) have even number of factors? Choose one.
A) 13 B) 14 C) 5 D) 6 E) 7

Solution: Integers having even number of factors will be perfect squares. even numbers will have even perfect squares. Thus, the possible values for the perfect squares are :   4,16,36,64,100,144,196 and the corresponding integers are 2,4,6,8,10,12,14 (more than 6). Thus 7 is the correct answer .
Answer: E
What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?
Choose the correct option.
A) 551.28 B) 551.25 C) 551.2 D) 551.23 E) 551.21

Solution: Let each installment be Rs. x. Then,   x/(1 + 5/100) + x/(1 + 5/100)2 = 1025   820x + 1025 * 441   x = 551.25   So, value of each installment = Rs. 551.25.Answer: 551.25
Answer: B
A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?  Choose the correct answer.
A) 17 kmph B) 45 kmph C) 86 kmph D) 197 kmph E) 15 kmph

Solution: Let the distance to be travelled to catch the bus be x km   x/30 - x/40 = 30/60 => (4x - 3x)/120 = 1/2 => x = 60 km   By traavelling 30 kmph time taken = 60/30= 
60/30 = 2
2 hours   By taking 2 hours, he is late by 40 min. So, he has to cover 60 km in at most speed= 60/(4/3)= 
60/(4/3) = 45
45 kmph.   Answer:45 kmph
Answer: B
An Indian company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible?	Choose the correct answer.
A) 3,024  B) 4,536  C) 5,040  D) 9,000  E) 10,000

Solution: An Indian company plans to assign identification numbers to its employees.The first digit can take 9 values from 1 to 9 inclusive;   The second digit can also take 9 values (9 digits minus the one we used for the first digit plus 0);   The third digit can take 8 values;   The fourth digit can take 7 values.   Total = 9*9*8*7 = something with the units digit if 6.   Answer: 4,536.
Answer: B
A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased one number. The average of the remaining numbers is 35*7/17. What was the number erased?	Choose the correct choice from the following answers:
A) 7
B) 8
C) 6
D) 5
E) 4

Solution: Explanation :   Let the higher number be n and x be the number erased.   Then((n(n+1)/2)+x)/(n+1) = 35*7/17 = 602/17   Hence, n = 69 and x =7 satisfy the above conditions.   7nswer : 7
Answer: A
In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability R at least one of the shirts he draws will be blue?	Choose the correct choice from the following answers
A) 25/153	B) 28/153	C) 5/17	D) 4/9	E) R=12/17

Solution: P(at least one blue) = 1- P(0 blue) = 1 - 10/18*9/17 =R= 12/17.   Answer: R=12/17.
Answer: E
A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
Choices:
A) 3377
B) 3677
C) 4200
D) 2871
E) 2123

Solution: 15:25 => 3:5   9600*10/100= 
9600*10/100 = 960
960   9600 - 960= 
9600 - 960 = 8_640
8640   8640*3/8= 
8640*3/8 = 3_240
3240 + 960= 
3240 + 960 = 4_200
4200   Answer: 2871
Answer: D
A man has Rs. 640 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:
A) 110	B) 115	C) 120	D) 125	E) 130

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 640   16x = 640   x = 40.   Hence, total number of notes = 3x = 120   ANSWER :120
Answer: C
A trader sells 92 meters of cloth for Rs. 9890 at the profit of Rs. 24 per metre of cloth. What is the cost price of one metre of cloth? Choose the correct choice:
A) 22  B) 89.5  C) 76.9  D) 83.5  E) 11

Solution: SP of 1m of cloth = 9890/92 = Rs. 107.5   CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth   = Rs. 107.5 - Rs. 24 = Rs. 83.5   Answer: 83.5
Answer: D