MU-NLPC/Calc-aqua_rat huggingface dataset:
If the compound interest on a certain sum for 2 years in Rs. 80.80 and the simple interest Rs. 80; then the rate of interest per annum is	Choose the correct answer
A) 2% B) 1% C) 3% D) 4% E) 5%

Solution: Explanation:   Let the sum be P and Rate of Interest be R% per annum   Simple Interest on Rs.P for 2 years = 80   PRT/100 = 80   (PR × 2)/100 = 80   PR/50 = 80   PR = 4000 - -- (equation 1)   Compound Interest = P(1 + R/100)T - P   = P(1 + R/100)2 - P   = P[(1 + R/100)2 - 1] = P[(1 + 2R/100 + R2/10000) - 1] = P(2R/100 + R2/10000)   = 2PR/100 + PR2/10000   = 2PR/100 + (PR × R)/10000   = [2 × 4000]/100 + (4000 × R)/10000 ( substituted the value of PR from equation 1)   = 80 + 0.4R   Given that compound interest = Rs.80.80   => 80 + 0.4R = 80.80   => 0.4R = 0.80   => R = 0.80/0.4= 
0.80/0.4 = 2
2%   2%nswer: Option 2%
Answer: A
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Choose the correct choice from the following choices:
A) 63 B) 93 C) 103 D) 83 E) 135

Solution: Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) =	(7 x 6/2 x 1) x 3= 63.   63nswer : 63.
Answer: A
A train moves past a post and a platform 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
Pick:
A) 79.0 B) 79.2 C) 79.5 D) 79.7 E) 79.6

Solution: Let x is the length of the train and v is the speed   Time taken to move the post = 8 s   => x/v = 8   => x = 8v --- (1)   Time taken to cross the platform 264 m long = 20 s   (x+264)/v = 20   => x + 264 = 20v ---(2)   Substituting equation 1 in equation 2, we get   8v +264 = 20v   => v = 264/12= 
264/12 = 22
22 m/s= 22×36/10 km/hr = 79.2 km/hr   Answer is 79.2.
Answer: B
Find the remainder when 10,000 is divided by 84
Select the correct option.
A) 4
B) 1
C) 6
D) 7
E) 8

Solution: 4nswer:4
Answer: A
The difference of 2 digit number & the number obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2 ?  Choose the correct choice from the following
A) 7  B) 8  C) 9  D) 10  E) 11

Solution: Let the number be xy.   Given xy – yx = 36.   This means the number is greater is than the number got on reversing the digits.   This shows that the ten’s digit x > unit digit y.   Also given ratio between digits is 1 : 2 => x = 2y   (10x + y) – (10y +x) = 36 => x – y = 4 => 2y – y =4.   Hence, (x + y) – (x – y) = 3y – y = 2y = 8   8
Answer: B
xy=1 then what is (4^(x+y)^2) / (4^(x-y)^2)
Pick one:
A) 256 B) 4 C) 8 D) 16 E) 32

Solution: (x+y)^2 - (x-y)^2   (x+y+x-y)(x+y-x+y)   (2x)(2y)   4xy   4   4^4 = 256   256nswer 256
Answer: A
A certain galaxy is known to comprise approximately 4 x 10^12 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun?	Choose the most appropriate option.
A) 800	B) 1,250	C) 8,000	D) 12,000	E) 80,000

Solution: 4*10^12   50 mln = 5*10^7   we divide 10^12 by 10^7 and we get (10^5)*4 = 400,000 and divide by 5. the result is 80,000   80,000
Answer: E
If a book is sold at 5% profit instead of 5% loss, it would have brought Rs 13 more. Find out the cost price of the book
Answers
A) 75
B) 72
C) 130
D) 70
E) 80

Solution: Let C.P. of the book be Rs. ’X’   Given, 1.05 X - 0.95X = 13   => 0.1 X = 13 = 13/0.1= 
13/0.1 = 130
Rs 130   ANSWER:130
Answer: C
If the number of students in each of three groups are in the ratio 8:9:10, and also the number of students in each group is a multiple of 5. then the following statements are true.
I. The product of number of students of each group is divisible by both 2 and 3.
II. The product of number of students of each group is divisible by 125
III. The product of number of students of each group is divisible by 125, 2 and 3
Pick: A) I B) II C) III D) All of the above E) None of the above

Solution: The product of consecutive positive integers are divisible by both 2 and 3.   Since the number of students in each group is divisible by 5, the product will be divisible by 125   Hence statement III is correct.   Answer:All of the above
Answer: D
Kavi spends 50% of his monthly salary on food and saves 80% of the remaining amount. If his monthly salary is Rs.19,000, how much money does he save every month ? Choose the correct choice: A) Rs.2000 B) Rs.600 C) Rs.8000 D) Rs. 3800 E) Rs.1200

Solution: Explanation:   Kavi's monthly income = Rs.19,000   He spends 50% on food.   The total money spent on food = 50/100 * 19000 = Rs. 9500   Now, his monthly remaining income = Rs.19000 – Rs.9500 = Rs. 9500   Out of Rs. 9500, he saves 40%.   Amount saved = 40/100 * 9500 = Rs. 3800   ANSWER:Rs. 3800
Answer: D
I. a3 - 405 = 324,
II. b2 - 72 = 9 to solve both the equations to find the values of a and b? Choose the correct choice from the following answers
A) a > b  B) a ≥ b  C) a < b  D) a ≤ b  E) a = b or the relationship between a and b cannot be established.

Solution: a3 = 729 => a = 9   b2 = 81 => b = ± 9   a ≥ b   ANSWER:a ≥ b
Answer: B
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 30° is?
Pick
A) 35m2
B) 36m2
C) 37m2
D) 38m2
E) 40m2

Solution: 30/360 * 22/7 * 12 * 12   = 37 m2   Answer:37m2
Answer: C
Mohan purchased 15 kgs of rice at the rate of Rs.26 per kg and 10 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?  Choose the correct answer.
A) A)Rs.598  B) B)Rs.594  C) C)Rs.596  D) D)Rs.550  E) None of these

Solution: Explanation:   Price of 15 kgs of rice at Rs.26/kg = 15x26 = Rs.390   Price of 10 kgs of pulses at Rs.26/kg = 10x26 = Rs.260   Therefore, Total amount = Rs.390+Rs.260 = Rs.550   Answer: Option Rs.550
Answer: D
Mary charges $8.50 per hour to clean a house. If she works 22 hours, how much
does she earn in one week? Pick
A) $687.00	B) $112.50	C) $187.00	D) $487.50	E) $387.50

Solution: Multiply 22 hours x $8.50 =   Answer: $187.00   correct answer $187.00
Answer: C
In a class of students, 1/2 of the number of girls is equal to 1/5 of the total number of students. What is the ratio of boys to girls in the class? Choose the correct choice from the following choices.
A) 1/2
B) 3/2
C) 1/3
D) 2/3
E) 4/3

Solution: (1/2)G=(1/5)(B+G)   5G=2B+2G   3G=2B   B/G=3/2.   The answer is 3/2.
Answer: B
There were totally 100 men.84 are married.75 have T.V, 85 have radio,70 have A.C. How many men have T.V, radio, A.C and also married? Choices:
A) 11	B) 12	C) 13	D) 14	E) 15

Solution: 100-(100-84)-(100-75)-(100-85)-(100-70)   = 100-16-25-15-30   =100-86= 
100-86 = 14
14   ANSWER:14
Answer: D
What will be in unit's place digit of 3 to the power 34. Choices:
A) 1 B) 6 C) 3 D) 0 E) 9

Solution: as the unit place digit of 3 to the power of 1 is 3, to the power of 2 is 9.to the power of 3 is 7 ,to the power of 4 is 1 and it'll be repeated again in the same order.... so the unit place digit of 3 to the power of 34 is 9..   ANSW9R:9
Answer: E
Jalal weighs twice as much as Meena. Meena's weight is 60% of Bahar's weight. Dolly weighs 50% of Laila's weight. Laila weighs 19% of Jalal's weight. Who among these 5 persons weighs the least?  Choose the correct option:
A) Bahar  B) Dolly  C) Jalal  D) Laila  E) Meena

Solution: Let Jalal weigh 100 kg.   Then Meena = 50 kg, Bahar = 83.33 kg, Laila = 19 kg, Dolly = 9.5 kg   Therefore clearly Dolly is the lightest.   ANSWER:Dolly
Answer: B
Solve x2 – 7x = 0
Pick:
A) 0,7
B) 1,7
C) 2,7
D) 3,7
E) 4,7

Solution: This quadratic factors easily: Copyright © Elizabeth Stapel 2002-2011 0,7ll Rights Reserved   x2 – 7x = 0   x(x – 7) = 0   x = 0 or x – 7 = 0   x = 0 or x = 7   The solution is x = 0, 7   0,7NSWER 0,7 0,7
Answer: A
How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGAR', if repetition of letters is not allowed? Choose the correct choice from the following answers:
A) 690  B) 60  C) 740  D) 760  E) 780

Solution: The word 'LOGAR' has 5 different letters.   Hence, the number of 3-letter words(with or without meaning) formed by using these letters   = 5P3   =   5   ×   4   ×   3   =   60   Option 60
Answer: B
A train running at the speed of 56 km/hr crosses a pole in 9 sec. What is the length of the train?
Select.
A) 140 m B) 786 m C) 566 m D) 546 m E) 445 m

Solution: Speed = 56 * 5/18 = 140/9 m/sec   Length of the train = speed * time = 140/9 * 9= 
140/9 * 9 = 140
140 m   140 mnswer: 140 m
Answer: A
If w and t are positive integers, wt + w + t cannot be Choose the correct choice from the following choices:
A) 5
B) 6
C) 7
D) 8
E) 9

Solution: Let wt + t + w = x   Add 1 on both sides:   wt + t + w + 1 = x + 1   t(w + 1) + w + 1 = x + 1   (w + 1)(t + 1) = x + 1   Minimum value of (w + 1) = 2   Minimum value of (t + 1) = 2   Hence x + 1 cannot be prime   Substitute x from the given options:   6 + 1= 
  6 + 1 = 7
7 --> prime --> wt + t + s cannot be 6   Answer: 6
Answer: B
A mobile battery in 1 hour charges to 20 percent.How much time (in minute) will it require more to charge to 30 percent.
Choose the correct answer:
A) 145
B) 90
C) 175
D) 160
E) 130

Solution: 1 hr =20 percent.Thus 15 min=5 percent .Now to charge 30 percent 90 min.Answer:90
Answer: B
If the average (arithmetic mean) of 18 consecutive odd integers is 414, then the least of these integers is  Answers.
A) a) 497
B) b) 518
C) c) 519
D) d) 521
E) e) 525

Solution: A very helpful rule to know in arithmetic is the rule that in evenly spaced sets, average = median. Because the average will equal the median in these sets, then we quickly know that the median of this set of consecutive odd integer numbers is 414.   There are 18 numbers in the set, and in a set with an even number of terms the median is just the average of the two most median terms (here the 9th and 10th numbers in the set). This means that numbers 9 and 10 in this set are 413 and 415. Because we know that number 9 is 413, we know that the smallest number is 8 odd numbers below this, which means that it is 8*2= 
8*2 = 16
16 below this (every odd number is every other number). Therefore   413-16= 
  413-16 = 397
397, answer choice a) 497
Answer: A
A car started running at a speed of 38 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.	Choose the correct answer.
A) 47 km  B) 76 km  C) 25 km  D) 15 km  E) 30 km

Solution: 47 km   47 km   The total distance covered by the car in the first 10 hours = 38 + 40 + 42 + 44 + 46 + 48 + 50 + 52 + 54 + 56= sum of 10 terms in 47 kmP whose first term is 30 and last term is 56 = 10/2 [38 + 56] = 470 km.
Answer: A
H.C.F. of 513, 1134 and 1215 is	Options.
A) 27 B) 21 C) 76 D) 42 E) 33

Solution: H.C.F. of 513, 1134 and 1215 = 3 × 3 × 3 = 27   27nswer: Option 27
Answer: A
On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.3, what is the probability that Malachi will return home at the end of the day on the following Monday? Choose the correct choice from the following.
A) 0.008	B) 0.147	C) 0.488	D) 0.512	E) 0.64

Solution: Re-phrasing the question:   What is the probability of: Saturday: No rain, Sunday: No rain, Monday: Rain   Probablity of rain = 0.3   Therefore, probability of no rain = 0.7   0.7*0.7*0.3= 
0.7*0.7*0.3 = 0.147
0.147   Hence 0.147
Answer: B
If 10 men can make 200 tables working for 15 days at the rate of 8 hr per day, how many tables can 5 men make working for 10 days at the rate of 6 hr a day?A  Choose the correct choice from the following
A) 150
B) 50
C) 250
D) 100
E) 120

Solution: formula   men* days * workinghour / work   so m1*d1*t1/ w1 = m2*d2*t2 / w2   = 50   ANSWER:50
Answer: B
A and B together can do a work in6 days. If A alone can do it in 42 days. In how many days can B alone do it?
Choose the correct option: A) 11 B) 7 C) 8 D) 20 E) 25

Solution: 7   7   1/6 â€“ 1/42 = 1/7 => 7
Answer: B
A cistern can be filled by a tap in 7 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ?  Choose the correct choice from the following answers.
A) 4.5 hrs	B) 5 hrs	C) 6.5 hrs	D) 17.2 hrs	E) 31.5 hrs

Solution: Net part filled in 1 hour= 1/7 -1/9= 2/63   Therefore the cistern will be filled in 63/2 hours or 31.5 hours.   ANSW31.5 hrsR:31.5 hrs
Answer: E
A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 80 percent of the drive from the center, what percent of the round-trip has the technician completed?	Pick one:
A) 5%	B) 75%	C) 25%	D) 40%	E) 50%

Solution: The complete round trip consists of driving to the service center and then back home again.   So, once the technician drives to the service center he/she has already competed 50% of the entire trip.   Since the technician completes a portion of the trip back home,the correct answer must be greater than 50%   Only one answer choice works.   Answer:   75%
Answer: B
A shop sells chocolates at re.1 each. U can exchange 3 wrappers for 1 chocolate. If u have Rs.100, how many chocolates can you totally get?  Choose the correct choice from the following answers:  A) 147  B) 148  C) 149  D) 145  E) 141

Solution: for 100 rupees we will get 100 chocolates   then for 3 wrappers we will get 1 chocolate so 100/3==33 chocolates and we left with one more wraper the  33+1= 
 33+1 = 34
34 ...34/3=11...one more wrapper so   12/3= 
  12/3 = 4
4 ..4/3=1 and one more wrapper so finally...100+33+11+4+1=149   ANSWER:149
Answer: C
A trader bought a car at 20% discount on its original price. He sold it at a 50% increase on the price he bought it. What percent of profit did he make on the original price?
Choose the most appropriate option
A) A)10%  B) B)12%  C) C)14%  D) D)20%  E) E)22%

Solution: Original price = 100   CP = 80   S = 80*(150/100)= 
80*(150/100) = 120
120   100 - 120= 20%   20%)
Answer: D
In a colony of 70 residents, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of education to uneducated persons is 8:27, then find the ratio of the number of educated and uneducated men in the colony?
Choose the correct answer
A) 1:9	B) 1:6	C) 1:3	D) 1:1	E) 1:3

Solution: Number of men in the colony = 4/7 (70) = 40   Number of women in the colony = 3/7 (70) = 30   Number of educated women in the colony = 1/5 (30) = 6   Number of uneducated women in the colony = 4/5 (30) = 24   Number of educated persons in the colony = 8/35 (70) = 16   As 6 females are educated, remaining 10 educated persons must be men.   Number of uneducated men in the colony = 40 - 10= 
40 - 10 = 30
30   Number of educated men and uneducated men are in the ratio 10:30=> 1:3   Answer: 1:3
Answer: E
If rupee one produces rupees nine over a period of 25 years, find the rate of simple interest? Options
A) 22 1/7 % B) 36 % C) 22 1/8 % D) 22 1/2 % E) 22 1/2 %

Solution: 9 = (1*25*R)/100   R = 36 %   Answer:36 %
Answer: B
Sripad has scored average of 64 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?	Choose the correct choice
A) 79  B) 28  C) 76  D) 27  E) 21

Solution: Assuming Sripad has scored the least marks in subject other than science,   Then the marks he could secure in other two are 58 each.   Since the average mark of all the 3 subject is 64.   i.e (58+58+x)/3 = 64   116 + x = 192   x = 76 marks.   Therefore, the maximum marks he can score in maths is 76.   Answer: 76
Answer: C
Roses can be purchased individually for $7.30, one dozen for $36, or two dozen for $50. What is the greatest number of roses that can be purchased for $680?
Choose the correct option: A) 156 B) 162 C) 316 D) 324 E) 325

Solution: Buy as many $50 deals as possible. We can by   650/50= 
  650/50 = 13
13 two dozen roses, thus total of 13*24= 
13*24 = 312
312 roses.   We are left with   680 - 650= 
  680 - 650 = 30
$30. We can buy 30/7.3= ~4 roses for that amount.   Total = 312 + 4= 
312 + 4 = 316
316.   Answer: 316.
Answer: C
The average age of a class of 42 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher Choose the correct choice from the following:
A) 45 Years B) 46 Years C) 59 Years D) 52 Years E) 54 Years

Solution: Total age of students is 42X16 = 672 Years Total age inclusive of teacher = 43X (16+1) = 731 So, Teacher's age is 731-672= 
731-672 = 59
59 Yrs There is a shortcut for these type of problems Teacher's age is 16+(43X1)= 59 Years Answer : 59 Years
Answer: C
Suganya and Suriya are partners in a business. Suganya invests Rs. 35,000 for 8 months and Suriya invests Rs.42,000 for 10 months. Out of a profit of Rs.30,570. Suganya's share is	Choose the correct option
A) Rs.9471	B) Rs.12,628	C) Rs.18,040	D) Rs.12,228	E) None

Solution: Solution   Ratio of their shares	=(35000Ã—8):(42000Ã—10)   = 2 : 3.   Suganya's share	= Rs.(31570 Ã—2/5)   = Rs.12228.   Answer Rs.12,228
Answer: D
A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 40min will be.  Answers:	A) 60 km/h	B) 55 km/h	C) 40 km/h	D) 70 km/h	E) 80 km/h

Solution: Time=50/60 hr=5/6hr   Speed=48mph   distance=S*T=48*5/6= 
48*5/6 = 40
40km   time=40/60hr=2/3hr   New speed = 40* 3/2= 
40* 3/2 = 60
60kmph   60 km/hnswer : 60 km/h.
Answer: A
A train 650 m long is running at a speed of 117 km/hr. In what time will it pass a bridge 325 m long? Choose the correct choice from the following:
A) 30  B) 35  C) 40  D) 45  E) 50

Solution: Speed = 117 * 5/18 = 65/2 m/sec   Total distance covered = 650 + 325= 
650 + 325 = 975
975 m   Required time= 975 * 2/65= 
975 * 2/65 = 30
30 sec   30nswer: 30
Answer: A
The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 25 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row? Select
A) 9 years B) 29 years C) 18 years D) 19 years E) 17 years

Solution: Total age seven persons = (28 * 7)years   Total age of the first three persons and the last three persons are (25 * 3) years and (34 * 3) years respectively.   Age of the person sitting in the middle of the row = 28 * 7 - 25 * 3 - 34 * 3 = 196 - 75 - 102= 
196 - 75 - 102 = 19
19 years.   ANSWER:19 years
Answer: D
A train speeds past a pole in 25 seconds and a platform 150 m long in 30 seconds. Its length is?
Choose the correct choice from the following answers.
A) 23	B) 22	C) 21	D) 30	E) 19

Solution: Let the length of the train be x meters and its speed be y m/sec.   They, x / y = 25 => y = x/25   (x + 150) / 30 = x / 25   x = 30 m.   Answer:30
Answer: D
Two trains are moving in opposite directions with speed of 150 km/hr and 90 km/hr respectively. Their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in --- seconds
Select
A) 56 B) 48 C) 47 D) 30 E) 25

Solution: Explanation:   Relative speed = 150+90= 
150+90 = 240
240 km/hr (Since both trains are moving in opposite directions)   Total distance= 1.1+.9= 
1.1+.9 = 2
2km   Time= 2/240 hr = 1/120 hr = 3600/120= 
3600/120 = 30
30 seconds   Answer: Option 30
Answer: D
LCM of 2/7,3/14 and 5/3is	Pick one:
A) 45	B) 35	C) 30	D) 25	E) None

Solution: Explanation:   L30M of numerators /H30F of denominators= L30M of 2, 3, 5/H30Fof7,14,3 = 30/1= 
30/1 = 30
30   30orrect Option: 30
Answer: C
A man can do a piece of work in 5days, but with the help of his son, he can finish it in 4days. In what time can the son do it alone? Choices:  A) 5  B) 5 1/2  C) 7 1/2  D) 6  E) 20

Solution: Son's 1day work = 1/4 - 1/5 = 1/20   Son alone can do the work in 20days = 20 days   Answer is 20
Answer: E
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.13000 after a year?  Options:	A) 3630	B) 3900	C) 8828	D) 2387	E) 2813

Solution: 6300:4200:10500   3:2:5   3/10 * 13000= 
3/10 * 13000 = 3_900
3900   Answer: 3900
Answer: B
An error 1% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:	Choose the correct option
A) 2.01  B) 30.1  C) 3.01  D) 25.01  E) 4.05

Solution: Explanation:   100 cm is read as 101 cm.   2.011 =(100 × 100)cm2 = 10000   and 2.012= (101 × 101)cm2= 10609   (2.012 - 2.011) = 10201-10000= 
10201-10000 = 201
201=> 201/10000*100= 
201/10000*100 = 201/100 = around 2.01
2.01   2.01nswer : 2.01
Answer: A
If the cost price is 81% of selling price then what is the profit percentage.
Pick:
A) 22.45
B) 23.45
C) 32.45
D) 23.54
E) 23.55

Solution: selling price=Rs100 : then cost price=Rs 81:profit =Rs 19.   Profit={(19/81)*100}%=23.45%   Answer is 23.45.
Answer: B
Alice’s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 6 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
Choose the correct choice from the following options.
A) 1/7 B) 1/6 C) 1/5 D) 1/2 E) 1/3

Solution: Suppose the portion of her salary that she saved is X   and the remaining portion is Y   X+Y= total take home salary   given, 12X = 6Y   or 2X = Y   Total take-home salary= X+ 2X= 3X   hence, she saved 1/3-rd portion of her take home salary   1/3
Answer: E
On a certain day, Tim invested $500 at 10 percent annual interest, compounded annually, and Lana invested 800 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years?	Choose the correct choice from the following choices:
A) $5
B) $15
C) $23
D) $100
E) $105

Solution: Compounded annually means that the interest is applied once per year. One can have 10% annual interest compounded monthly - in this case 10%/12 would be applied each month, or 10% annual interest compounded daily etc.   With respect to the problem at hand, at the end of two years, Tim would have   500(1.10)^2 = 500(1.21) = 605   and Lana would have   800(1.05)^2 = 800(1.1025) = 882   Thus, Tim earned 105 dollars, while Lana earned 82 dollars   The difference is $23 and the answer is $23.
Answer: C
John completes a piece of work in 320 days, Rose completes the same work in 480 days. If both of them work together, then the number of days required to complete the work is?
Choices.
A) 190 B) 192 C) 194 D) 196 E) 198

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days.   That is, the required No. of days = 320 × 480/800 = 192 days   Answer is 192
Answer: B
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day? Choose the correct choice:
A) 20 B) 18 C) 12 D) 14 E) 15

Solution: A's 2 day's work = 1/20 x 2 = 1/10   (A + B + C)'s 1 day's work = 1/20 + 1/30 + 1/60 = (3+2+1)/60 = 1/10   Work done in 3 days = A's 2 day's work + (A + B + C)'s 1 day's work   Work done in 3 days = 1/10 + 1/10   Now, work is done in 3 days = 2/10 = 1/5   So, 1/5 cork is done in 3 days.   So, work will be done in (3 x 5) = 15 days.   So, correct answer is 15
Answer: E