MU-NLPC/Calc-aqua_rat huggingface dataset:
A man saves Rs. 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years?  Choose the correct choice from the following:
A) Rs.662.08
B) Rs.662.11
C) Rs.662.02
D) Rs.662.91
E) Rs.662.01

Solution: Amount = [200(1 + 5/100)3 + 200(1 + 5/100)2 + 200(1 + 5/100)]   = [200 * 21/20(21/20 * 21/20 + 21/20 + 1)] = Rs. 662.02   Answer:Rs.662.02
Answer: C
Cost Price of 2 cats are $30,000. By selling 1 at a loss of 15% and other at a profit of 19%, he found that SP of both cats is the same. Find the CP of each?	Choose the correct choice from the following:  A) $10,000  B) $10,200  C) $11,800  D) $12,100  E) $12,500

Solution: Let the C.P of 1st buffalo = x   ∴C.P of 2nd buffalo = 30,000 - x   S.P of 1st buffalo = ( 100 - loss% )   ------------------- x C.P   100   S.P = 100 - 15x   -----------= 85x/ 100   100   S.P of 2nd buffalo = ( 100 - Profit%)   --------------------- x C.P   100   S.P = (100 + 19)(30,000- x) 119(30,000 -x)   -------------------- = ----------------   100 100   S.P of 1st buffalo = S.P of 2nd buffalo   85x/ 100 = 119 ( 30,000 - x)/ 100   ⇒ 85x = 119(30,000 - x)   ⇒ 85x = 3,570,000 - 119x   ⇒ 85x + 119 x = 3,570,000   ⇒ 204x = 3,570,000   ⇒ x = 3,570,000 / 204   ⇒ x = $17,500   C.P of 1st buffalo = $17,500   C.P of 2nd buffalo = 30,000 - 17,500 = $12,500   $12,500
Answer: E
In a renowned city, the average birth rate is 7 people every two seconds and the death rate is 1 people every two seconds. Estimate the size of the population net increase that occurs in one day.  Select:
A) 32,300	B) 172,800	C) 468,830	D) 338,200	E) 259,200

Solution: Every 2 seconds, 6 persons are added (7-1). Every second 3 persons are added.   In a day 24hrs = 24 * 60 Minutes = 24 * 60 * 60= 
24 * 60 * 60 = 86_400
86400 seconds.   86400 * 3= 
86400 * 3 = 259_200
259200   Option 259,200
Answer: E
34 : 43 :: 25 :?  Choose the most appropriate option.
A) 49	B) 52	C) 36	D) 64	E) 56

Solution: Ans 52   Reverse of 25   ANSWER:52
Answer: B
If f is the smallest positive integer such that 3,150 multiplied by f is the square of an integer, then f must be Choose the correct choice from the following.
A) 2 B) 5 C) 6 D) 7 E) 14

Solution: Solution:   This problem is testing us on the rule that when we express a perfect square by its unique prime factors, every prime factor's exponent is an even number.   Let’s start by prime factorizing 3,150.   3,150 = 315 x 10 = 5 x 63 x 10 = 5 x 7 x 3 x 3 x 5 x 2   3,150 = 2^1 x 3^2 x 5^2 x 7^1   (Notice that the exponents of both 2 and 7 are not even numbers. This tells us that 3,150 itself is not a perfect square.)   We also are given that 3,150 multiplied by f is the square of an integer. We can write this as:   2^1 x 3^2 x 5^2 x 7^1 x f = square of an integer   According to our rule, we need all unique prime factors' exponents to be even numbers. Thus, we need one more 2 and one more 7. Therefore, y = 7 x 2 = 14   Answer is 14.
Answer: E
4/x + 5x = 5(x-8) Choices:
A) -9	B) -1/3	C) -1/9	D) -1/10	E) 9

Solution: We can solve - expand the right side, multiply by x on both sides and then subtract away the 5x^2 terms:   (4/X) + 5x = 5(x-8)   (4/x) + 5x = 5x - 40   4 + 5x^2 = 5x^2 - 40x   4 = -40x   -1/10 = x   and to confirm, you can plug that answer back into the original equation to see that it makes the left and right sides equal.   -1/10
Answer: D
The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy? Choose the correct choice from the following
A) 8  B) 9  C) 7  D) 6  E) 5

Solution: 3x + 5x + 7x = 45   x =3   3x = 9   Answer:9
Answer: B
A number is doubled and 15 is added. If resultant is trebled, it becomes 75. What is that number	Select the correct option:
A) 8
B) 10
C) 5
D) 14
E) 7

Solution: Explanation:   => 3(2x+15) = 75   => 2x+15 = 25   => x = 5   Option 5
Answer: C
Two trains of length 100 m and 160 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?  Choose the correct choice from the following answers
A) 18 sec
B) 70 sec
C) 13 sec
D) 20 sec
E) 19 sec

Solution: Relative speed = (42 + 30) * 5/18 = 4 * 5= 
4 * 5 = 20
20 mps.   Distance covered in passing each other= 100 + 160= 
100 + 160 = 260
260 m.   The time required= d/s   = 260/20= 
260/20 = 13
13 sec.   Answer: 13 sec
Answer: C
In how many ways can 5 people be arranged in a circle?
Choose the correct choice.
A) 2!	B) 5!	C) 4!	D) 3!	E) 6!

Solution: (5−1)!=4!=24 ways   Ans - 4!
Answer: C
What ratio must a shopkeeper mix Peas and Soybean of Rs.16 and Rs. 25/kg, As to obtain a mixture of Rs.21.50 ? Choose the correct choice from the following options.
A) 10 : 7  B) 9 : 8  C) 7 : 11  D) 13 : 11  E) 14 : 8

Solution: 7 : 11orrect option: (7 : 11)   Use rule of alligation, to determine the ratio   The required ratio of Soybean and Peas = 3.50 : 5.50 = 7:11
Answer: C
A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 204, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala? Choose the correct choice from the following answers
A) 22
B) 33
C) 36
D) 77
E) 88

Solution: Let f = pure fuji , g = pure gala and c - cross pollinated.   c = 10% of x where x is total trees.   c = .1x   also 3x/4 = f and c+f = 204 => .1x + 3/4x = 204 => x = 240   240 - 204 = pure gala = 36.   36
Answer: C
two friends A,B are running up hill and then to get down! length if road is 440 yards A on his return journey met B going up at 20 yards from top, A has finished the race .5 minute earlier than B, then how much time A had taken to complete the race. Choose the correct choice.
A) 55 minutes
B) 95 minutes
C) 105 minutes
D) 115 minutes
E) 125 minutes

Solution: A gains 20 yards over B in it's down the hill journey. So for entire journey A will have a lead of 40 yards over B.   now, when A is at destination B is 40 yards behind which B will cover in 5 minutes.   so, by unitary method we get..   For B, 40 yards in 5 minutes   therefore,1 yard in 5/40 minutes   therefore,880 yards in  (5/40)*880= 
 (5/40)*880 = 110
110 minutes.   Now b takes 110 minutes so A will take 105 minutes.   ANSWER:105 minutes
Answer: C
Which of the following is not a leap year ?	Choose the correct choice:
A) 700
B) 800
C) 1200
D) 2000
E) 500

Solution: Solution   The century divisible by 400 is a leap year.   ∴ The year 700 is not a leap year. 700nswer 700
Answer: A
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?	Choose the correct choice from the following options:
A) 22
B) 77
C) 18
D) 99
E) 88

Solution: Total CP = Rs. 42000 + Rs. 13000 = Rs. 55000 and SP = Rs. 64900   Profit(%) = (64900 - 55000)/55000 * 100= 
(64900 - 55000)/55000 * 100 = 18
18%   Answer: 18
Answer: C
Ann can have her bicycle repaired for $50, or she can trade it in, as is, and receive $22 credit toward the purchase of a new bicycle that sells for $107. If Ann trades in her current bicycle, the cost to her of purchasing the new bicycle is what percent greater than the cost of having her current bicycle repaired?  Choose the correct choice from the following answers:	A) 44%	B) 60%	C) 70%	D) 114%	E) 170%

Solution: The cost for repair is $50;   The cost of new bicycle is $107-$22=$85;   So, the cost to Ann of purchasing the new bicycle is 85−50/50∗100  107- 22= 
  107- 22 = 85
$85;   So, the cost to Ann of purchasing the new bicycle is 85−50/50∗100=70 greater than the cost of having her current bicycle repaired.   Answer: 70%.
Answer: C
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
Choices: A) 6 kilometre per hour B) 8 kmph C) 9 kmph D) 10 kmph E) 3 kmph

Solution: S = 1   M = x   DS = x + 1   US = x - 1   35/(x + 1) + 35/ (x - 1) = 12   x = 6   6 kilometre per hournswer:6 kilometre per hour
Answer: A
In a 1000 m race, A beats B by 50 m and B beats C by 10 m. In the same race, by how many meters does A beat C?	Choose the correct answer
A) A)60m
B) B)829m
C) C)822m
D) D)929m
E) E)132mj

Solution: By the time A covers 1000 m, B covers  (1000 - 50)= 
 (1000 - 50) = 950
950 m.   By the time B covers 1000 m, C covers  (1000 - 10)= 
 (1000 - 10) = 990
990 m.   So, the ratio of speeds of A and C=   1000/950 * 1000/990 = 1000/940 So, by the time A covers 1000 m, C covers 940 m.   So in 1000 m race A beats C by 1000 - 940= 
1000 - 940 = 60
60 m.   60mnswer:60m
Answer: A
A man goes from A to B at a speed of 21 kmph and comes back to A at a speed of 21 kmph. Find his average speed for the entire journey?  Choose one
A) 23.3 kmph
B) 25.3 kmph
C) 22.5 kmph
D) 22.3 kmph
E) 22.9 kmph

Solution: Distance from A and B be 'd'   Average Speed = total distance/total time   Average Speed = (2d)/[(d/21) + (d/24]   = (2d)/[15d/168) => 22.3 kmph.   Answer:22.3 kmph
Answer: D
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?	Choose the correct choice from the following answers.
A) 18:11  B) 18:18  C) 18:22  D) 18:39  E) 18:39

Solution: Explanation:   A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.   18:11 : B   8000*18 : (8000*4) + (4000*14)   14400 : 88000   18:11:B = 18:11   18:11nswer:18:11
Answer: A
For four days of work, a clerk had daily earnings of $140, $130, $140, and $140 respectively. In which of the following intervals does the standard deviation of the daily earnings lie?
Choose the correct choice from the following answers:
A) Between $10 and $100
B) Between $10 and $50
C) Between $0 and $10
D) Between $10 and $70
E) Between $10 and $90

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(130-(140*3+130)/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: C
If a large pizza has a radius that is 20% larger that that of a medium pizza, what is the percent increase in area between a medium and a large pizza? Choose the correct choice
A) 20%
B) 36%
C) 44%
D) 50%
E) 64%

Solution: Let the radius of medium pizza be r. Then the radius of large pizza is 1.2r.   The area of the medium pizza is pi*r^2   The area of the large pizza is pi*(1.2*r)^2 = 1.44*pi*r^2, an increase of 44%.   The answer is 44%.
Answer: C
The ratio of the radius of two circles is 3: 4, and then the ratio of their areas is? Pick
A) 1:7  B) 9:16  C) 1:9  D) 3:7  E) 3:4

Solution: r1: r2 = 3:4   Î r1^2: Î r2^2   r1^2: r2^2 = 9:16   Answer: 9:16
Answer: B
A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph? Choose the correct answer:  A) 33  B) 20  C) 99  D) 78  E) 61

Solution: Let the distance between A and B be x km.   Total time = x/(9 + 1) + x/(9 - 1) = 4.5   => x/10 + x/8 = 9/2 => (4x + 5x)/40 = 9/2 => x = 20 km.   Answer:20
Answer: B
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?	Choices:
A) 4 years	B) 5 years	C) 6 years	D) 7 years	E) None

Solution: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.   Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50   5x = 20   x = 4.   4 yearsge of the youngest child = x = 4 years   4 years)
Answer: A
In a year N, the 259th day of the year is a Saturday. In the year N+l, the 222th day of the year is also a Saturday. What is the 119th day of the year N-l?
Select:
A) Thursday
B) Saturday
C) Friday
D) Tuesday
E) Monday

Solution: as 259th day of year N and 222th day of year N+1 is same i.e saturday, so number of day between above 2 day is must be divided by 7..   no. of days btwn dis 2 day may b   (366-259)+222= 
  (366-259)+222 = 329
329----(1) or  (365-259)+222= 
 (365-259)+222 = 328
328------(2)   as 329 is divided by 7 so year N is leap year son Year N-1 is not a leap year....   now number of day btwn 119th of N-1 and 259th of N is   (365-119)+259= 
  (365-119)+259 = 505
505   now 505/7 gives remainder 1 , so 504 is divided by 7, so 120th day of N-1 is saturday...so 119th day of N-1 is Friday   ANSWER:Friday
Answer: C
A train which has 410 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
Answers:
A) 56 sec	B) 41 sec	C) 36 sec	D) 29 sec.	E) 19 sec.

Solution: Time taken to cross a moving person = length of train/ relative speed   Time taken = 410/((45-9) (5/18)   = 410/ 36*(5/18)   = 410/10= 
410/10 = 41
41 sec   ANSWER:41 sec
Answer: B
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 23 seconds, what is the ratio of their speeds?  Choose the correct answer.
A) Insufficient data  B) 3 : 2  C) 3 : 1  D) 1 : 3  E) 1 : 2

Solution: Explanation:   Let the speed of the trains be x and y respectively   length of train1 = 27x   length of train2 = 17y   Relative speed= x+ y   Time taken to cross each other = 23 s   => (27x + 17 y)/(x+y) = 23   => (27x + 17 y)/ = 23(x+y)   => 4x = 6y   => x/y = 6/4 = 3/2   Answer: Option 3 : 2
Answer: B
For a certain exam,a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean.What was the mean score Q for the exam?
Pick one
A) 74 B) 76 C) 78 D) 80 E) 82

Solution: A score of 58 was 2 standard deviations below the mean --> 58 = Mean - 2d   A score of 98 was 3 standard deviations above the mean --> 98 = Mean + 3d   Solving above for Mean Q= 74.   74nswer: 74.
Answer: A
Excluding stoppages, the speed of a bus is 75 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?	Answers.
A) 15 B) 24 C) 17 D) 19 E) None of these

Solution: Due to stoppages, it covers 30 km less.   Time taken to cover 30 km = ((30/75)Ã—60) = 24 min.   Option(24) is correct
Answer: B
In traveling from a dormitory to a certain city, a student went 1/4 of the way by foot, 1/2 of the way by bus, and the remaining 10 kilometers by car. What is the distance, in kilometers, from the dormitory to the city? Choose the correct choice from the following choices:
A) 10
B) 45
C) 30
D) 20
E) 40

Solution: Whole trip = distance by foot + distance by bus + distance by car   x = 1/4x + 1/2x + 10   x - 1/4x - 1/2x = 10   X = 40km   Option: 40
Answer: E
Chris age after 9years will be 5 times his age 5years back. what is the present age of Chris?	Choose the correct option:
A) A)20	B) B)25	C) C)15	D) D)22	E) E)16

Solution: Chris present age= x   after 9years = x+9   5years back = x-5   x+9= 5(x-5)   x=16   Answer is 16
Answer: E
38, 56, 22,64, 31,47, 13, 82
Which of the following numbers is greater than three-fourth of the numbers but less than one-fourth of the numbers in the list above? Choose the correct choice from the following options:
A) a- 60 B) b- 68 C) c- 69 D) d- 71 E) e- 73

Solution: Important:- Arrange the numbers in ascending order first.   13, 22, 31, 38, 47, 56, 64, 82   3/4th of the number list represents- 56 (6th number)   remaining 1/4th list represents 64 (7 th number)   60 fits in between above 2   a- 60nswer:- a- 60
Answer: A
Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 40% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets?	Pick
A) 66%
B) 75%
C) 82%
D) 116%
E) 150%

Solution: Let the price of 82%ompany A's assets be 100   Price of assets of KW is 40% more than company A's assets which is 140   Price of assets of KW is 100% more than company B's assets which means price of 82%ompany B's assets is half the price of KW = 70   A+B = 170   KW = 140   KW/(A+B)*100 = 140/170*100 = 82.35% or 82%   82%
Answer: C
What is the next number in the given series
4,18,100,294,....?
Choose the correct choice from the following answers
A) 1210	B) 1220	C) 1230	D) 1240	E) 1250

Solution: The given series is difference of cubes and squares of consecutive prime numbers.   2*2*2-2*2= 
2*2*2-2*2 = 4
4,   3*3*3-3*3= 
3*3*3-3*3 = 18
18,   5*5*5-5*5= 
5*5*5-5*5 = 100
100,   7*7*7-7*7= 
7*7*7-7*7 = 294
294,   11*11*11-11*11= 
11*11*11-11*11 = 1_210
1210   1210NSWER:1210
Answer: A
A palindrome is a number that reads the same front-to-back as it does back-to-front (e.g. 202, 575, 1991, etc.) p is the smallest integer greater than 200 that is both a prime and a palindrome. What is the sum of the digits of p? Pick one
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: Given that p is smallest integer greater than 200 - assume there is a 3-digit that satisfies the above conditions. Let the number be xyx ; question asks us the values of 2x+y   We can straight away cross out options A) and D) - sum of digits 3 or 6 implies it is divisible by 3 ---> we know that p is a prime number   Coming to option B) 2x + y = 4 --> only x = 2 and y = 0 satisfy this equation ( x> 2 will never give sum of digits = 4) ; but 202 is divisible by 2 ; we know that p is a prime number   Similarly option C) 2x+y = 5 --> only x = 2 and y = 1 satisfy this equation ( x> 2 will never give sum of digits = 5) ; but 212 is divisible by 2 ; we know that p is a prime number   Therefore answer option should be 7 ---> can be verified by taking 2x+y = 7 ---> x = 3 and y = 1 ; gives 313   ANSW7R:7
Answer: E
The average of 7 consecutive numbers is 20. The largest of these numbers is :  Select.
A) 21
B) 25
C) 31
D) 23
E) 29

Solution: Let the numbers be x, x + 1, x + 2, x + 3, x + 4, x + 5 and x + 6,Then (x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6)) / 7 = 20.or 7x + 21 = 140 or 7x = 119 or x =17.Latest number = x + 6 = 23. Answer : 23
Answer: D
The smallest number when increased by " 1 " is exactly divisible by 12, 18, 24, 32 and 40 is:  Choices
A) 1439
B) 1440
C) 1459
D) 1449
E) 1549

Solution: LCM = 1440   1440 - 1= 
1440 - 1 = 1_439
1439   1439NSWER:1439
Answer: A
What is the next number of the following sequence
2,5,10,50,500,?	Choose the correct choice.
A) 24000 B) 20000 C) 30000 D) 25000 E) 40000

Solution: 2*5= 
2*5 = 10
10   5*10= 
5*10 = 50
50   10*50= 
10*50 = 500
500   50*500= 
50*500 = 25_000
25000   therefore next no. is 25000   ANSWER:25000
Answer: D
Let p be a prime number greater than 2 and let N = 14p. How many even numbers divide N?
Choices.
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: Answer: A. There is exactly one. The prime factorization of 14 is 14 = 2*7, so N = 2*7*p = 7*2*p = 7*2p, so 2p is the only even number that divides N.
Answer: A
A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?  Choose the correct choice from the following choices:  A) 287  B) 288  C) 350  D) 278  E) 728

Solution: D = 72 * 5/18 = 25 = 500 – 150   = 350   Answer: 350
Answer: C
What is the value of X, if
1/(log442/441 X) + 1/(log443/442 X) + 1/(log444/443 X) +…+ 1/(log899/898 X) +1/(log900/899 X) = 2?  Choose the correct choice
A) 2/21	B) 1	C) 7/100	D) 10/7	E) None of these

Solution: The given equation   = 1/(log442/441 X) = (log442/441)/logX = logX 442/441.   = logX 442/441 + logX 443/442 + logX 444/443 +......+ logX 899/898 + logX 900/899 = 2.   = logX 900/441 = 2   =>X2 = 900/441   =>X = 30/21 = 10/7.   ANSWER:10/7
Answer: D
A person is traveling at 75 km/hr and reached his destiny in 4hr then find the distance? Options:
A) 300 km
B) 200 km
C) 250 km
D) 400 km
E) 220 km

Solution: T = 4 hrs   D= T*S = 75*4= 
75*4 = 300
300KM   300 kmnswer is 300 km
Answer: A
Two children want to walk together to visit their aunt, who lives exactly 7 blocks north and 5 blocks east of their current location. If they travel only along streets and do not travel diagonally, the shortest possible route connecting the two points is exactly 12 blocks. How many different 12-block routes may they take to travel the shortest possible distance to their aunt’s house? Choose the correct answer.
A) 12!/(7*5)  B) 19!/(12!)  C) 12!/(7!5!)  D) 12!*7!*5!  E) 7!*5!

Solution: If they need to walk 7 blocks north and 5 blocks east, we can express this route as NNNNNNNEEEEE. The question thus asks us how many ways we can arrange those letters.   The number of arrangements of 12 things is 12!   We then divide by the repetitions of N's and E's, which are 7! and 5! respectively.   The number of walking routes is 12!/(7!5!).   The answer is 12!/(7!5!).
Answer: C
There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs. 2288, then what was the price of the article initially?	Choose the correct answer: A) 2009 B) 6000 C) 2000 D) 7000 E) 1000

Solution: Let the price of the article, four years age be Rs. 100 in the 1st year, price of the article   = 100 + 30 = Rs. 130. In the 2nd year, price = 130 - 20% of 130   = 130 - 26 = Rs. 104.   In the 3rd year, price = 104 + 10% of 104   = 104 + 10.4 = Rs. 114.40.   But present price of the article is Rs. 2288   for 114.4 ---> 100 ; 2288 ---> ?   Required price = (2288 * 100)/114.4 = 20 * 100 = Rs.2000.   Answer:2000
Answer: C
The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. Find the length of the rectangle? Pick one.
A) 10 cm  B) 20 cm  C) 30 cm  D) 40 cm  E) 50 cm

Solution: Solution   Let the breadth = x	Then length =2x   = [(2x-5)(x+5)-2x ] x [x=75]   x =20.   Length of the rectangle=20cm.   Answer 20 cm
Answer: B
If c is 20% of a and 10% of b, what percent of a is b?
Choose the correct option
A) 2.5% B) 15% C) 25% D) 35% E) 200%

Solution: Answer = 200%   20a/100 = 10b/100   b = 20a/10 = 200a/100 = 200%
Answer: E
A babysitter is paid a regular rate of $16 per hour for any number of hours that does not exceed 30 hours per week. For any overtime hours worked in excess of 30 hours per week, the babysitter is paid a rate that is 75% higher than his regular rate. If last week the babysitter earned $760, how many total hours did she work that week?
Choose one.
A) 40	B) 30	C) 35	D) 25	E) 45

Solution: For 30 hrs = 30*16= 
30*16 = 480
480   Excess= 760-480= 
760-480 = 280
280   For extra hours=.75(16)=12 in addition to $16. Thus, 12+16=28   Number of extra hrs =280/28= 
280/28 = 10
10   Total hrs=30+10= 
30+10 = 40
40   40nswer 40 40
Answer: A
In a race of 4Kms A beats B by 100m or 25 seconds, then time taken by A is
Choose one.
A) 8 min 15 sec  B) 10 min 17 sec  C) 15 min 8 sec  D) 16 min 15 sec  E) 17 min 15 sec

Solution: B covers 100m in 25 seconds   B take time =(4000*25)/100= 
(4000*25)/100 = 1_000
1000 sec=16 min 40 sec.   A takes time =1000 sec-25sec=975 sec= 16 min 25 sec.   ANSWER:16 min 15 sec
Answer: D
A , B , and C started a partnership business by investing $27,000 , $72,000 , and $81,000 respectively. At the end of the year , the profit was distributed among them. If C's share of profit is $18,000, what is the total profit?
Choose the correct choice from the following.
A) $24,000
B) $32,000
C) $40,000
D) $48,000
E) $56,000

Solution: A:B:C = 27000:72000:81000 which is a ratio of 3:8:9.   Let the total profit be x.   x * 9/20 = 18000   x = 18000*20/9 = 40,000.   The answer is $40,000.
Answer: C
An article is bought for Rs.605 and sold for Rs.900, find the gain percent? Choose the correct answer.
A) 30 1/3%  B) 33 1/3%  C) 48 92/121%  D) 35 1/3%  E) 29 1/3%

Solution: 48 92/121%   48 92/121%   605 ---- 295   100 ---- ? => 48 92/121%
Answer: C