MU-NLPC/Calc-aqua_rat huggingface dataset:
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?	Choose the correct choice from the following choices:	A) 3	B) 4	C) 5	D) 6	E) 7

Solution: C.P. of 6 toffees = Rs. 1   S.P. of 6 toffees = 120% of Rs. 1 = Rs 6/5   For Rs. 6/5 Toffees Sold 6   For Rs. 1, toffees sold = 6x (5/6)= 5   answer :5
Answer: C
Find the area of the quadrilateral of one of its diagonals is 22 cm and its off sets 9 cm and 6 cm?
Answers:
A) 188 cm2	B) 165 cm2	C) 168 cm2	D) 198 cm2	E) 987 cm2

Solution: 1/2 * 22(9 + 6)   = 165 cm2   Answer: 165 cm2
Answer: B
The cross-section of a tunnel is a trapezium in shape. If the tunnel is 15 m wide at the top and 5 m wide at the bottom and the area of cross-section is 400 sq m, the depth of tunnel is?
Pick.
A) 200 m	B) 600 m	C) 400 m	D) 800 m	E) 900 m

Solution: 1/2 * d (15 + 5) = 400   d = 400   ANSWER:400 m
Answer: C
The compound and the simple interests on a certain sum at the same rate of interest for two years are Rs.11730 and Rs.10200 respectively. Find the sum.
Choose the correct choice from the following choices:
A) 17008	B) 17000	C) 170028	D) 171776	E) 170892

Solution: The simple interest for the first year is 10200/2 is Rs.5100 and compound interest for first year also is Rs.5100. The compound interest for second year on Rs.5100 for one year   So rate of the interest = (100 * 1530)/ (5100 * 1)= 
(100 * 1530)/ (5100 * 1) = 30
30% p.a.   So P= (100 * 10200)/ (30 * 2) = Rs.17000   Answer: 17000
Answer: B
Working together, Jose and Jane can complete an assigned task in 30 days. However, if Jose worked alone and complete half the work and then Jane takes over the task and completes the second half of the task, the task will be completed in 45 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose  Choose one:	A) 90 days	B) 30 days	C) 60 days	D) 65 days	E) 36 days

Solution: Assume:   Jose does 1 job in x days, so Jose does 1/x job in a day   Jane does 1 job in y days, so Jane does 1/y job in a day   Together, they does (x+y)/xy job in a day. This is equals to 1/20. So   (x+y)/xy = 1/30   30(x+y) = xy   Next, we're told 1 job takes 45 days to complete if Jose and Jane each does half the work. So since Jose does 1 job in x days, he wil need x/2 days to do half the job. Jane similarly will need y/2 days to do the other half.   x/2 + y/2 = 45   x+y = 90   So   xy = 30 *90= 
30 *90 = 2_700
2700   The answer choices are:   90 days   30 days   60 days   65 days   36 days   From the answer choices, So I'll go for 90 days for Jose and 30 days for Jane.   90 daysnswer : 90 days
Answer: A
The sum of the ages of Latha and Geetha is 60years. Also 5 years ago, the Latha's age was 5 times the age of the Geetha. What is the age of the Geetha?  Choose the correct choice from the following answers
A) 13years
B) 15yeas
C) 20years
D) 18years
E) 22years

Solution: Let the age of the Geetha be x years   The age of the Latha is 60-x years   5 years ago 5(x-5) = 60-x-5   x = 13 approximately   Geetha's age = 13years   Answer is 15yeas
Answer: B
The speed at which a man can row a boat in still water is 150 kmph. If he rows downstream, where the speed of current is 48 kmph, what time will he take to cover 390 metres?
Choose the correct choice from the following answers.
A) 10 B) 11 C) 12 D) 13 E) 14

Solution: Speed of the boat downstream = 150 + 48= 
150 + 48 = 198
198 kmph= 198 * 5/18 = 30 m/s   Hence time taken to cover 390 m = 390/30= 
390/30 = 13
13 seconds. Answer: 13
Answer: D
The 15 homes in a new development are each to be sold for one of three different prices so that the developer receives an average (arithmetic mean) of $200,000 per home. If 4 of the homes are to be sold for $170,000 each and 5 are to be sold for $200,000 each, what will be the selling price of each of the remaining 16 homes?  Choices.
A) $200,000  B) $210,000  C) $215,000  D) $207,500  E) $230,000

Solution: IMO the answer has to be D.   5 houses are being sold for 200,000. 4 houses are being sold for $30,000 less, resulting in a loss of $120,000. To make the average selling price intact i.e. $200,000, the remaining 16 houses must be sold at such a profit that it compensates for the loss of 120,000. Hence 16x=120,000.   x=7500.   The 16 houses are sold at $7,500 profit or at $207,500. (ANSWER $207,500)
Answer: D
Simple interest on a certain amount is 9/16 of the principal. If the numbers representing the rate of interest in percent and time in years be equal, then time, for which the principal is lent out, is : Choices
A) 6 1/2	B) 7 1/2	C) 8	D) 9 1/2	E) None

Solution: Sol.   Let sum = x. Then, S.I. = 9/16 x.   Let rate = R% and time = R years.   ∴ [x * R * R / 100] = 9x / 16 ⇔ R² = 900/16   ⇔ R = 30/4 = 7 1/2   Hence, time = 7 1/2 years.   Answer 7 1/2
Answer: B
What is the area of an equilateral triangle whose one side length is 70?	Choices.
A) 825√3
B) 925√3
C) 1025√3
D) 1125√3
E) 1225√3

Solution: -> The area of an equilateral triangle with one side length of a is √3a2/4. Thus, √3(70^2)/4=1225√3 and the answer is 1225√3.
Answer: E
A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :
Choose the correct answer:
A) 3 10 /2  B) (3)10 - (2)10  C) 243 *(35 -1)  D) (3)10 -(2)5  E) None of these

Solution: Solution: Total number of bacteria after 10 seconds,   = (3)10 - (3)5   = (3)5 *(3)(5 -1)   = 243 *(3)(5 -1)   Since, just after 10 seconds all the bacterias (i.e. 35 ) are dead after living 5 seconds each.   Answer: Option 243 *(35 -1)
Answer: C
What should come in place of the question mark (?) in the following number series?
11 16 23 32 43 ?  Pick:
A) 55
B) 56
C) 57
D) 58
E) 59

Solution: Explanation:   The difference is 5,7,9,11.   It increases by every consecutive odd number.   Answer: 59
Answer: E
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.65 less, he could have gained 25%. What is the cost price?  Options.
A) 325
B) 375
C) 278
D) 267
E) 288

Solution: CP1 = 100 SP1 = 120   CP2 = 80 SP2 = 80 * (125/100)= 
80 * (125/100) = 100
100   20 ----- 100   65 ----- ?=> 325   325nswer:325
Answer: A
How many numbers from 10 to 50 are exactly divisible by 3?  Pick one.
A) 13
B) 15
C) 16
D) 17
E) 18

Solution: 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45,48.   13 Numbers.   10/3 = 3 and 50/3 = 16 ==> 16 - 3= 
16 - 3 = 13
13. Therefore 13 digits   13)
Answer: A
The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is:	Choose the correct choice
A) 1.2 km
B) 2.4 km
C) 3.2 km
D) 3.6 km
E) 4.6 km

Solution: Speed downstream = (15 + 3)= 
(15 + 3) = 18
18 kmph.   Distance travelled= 18 x 12/60	km = 3.6 km.   ANSWER:3.6 km
Answer: D
The average of first 40 prime numbers is?  Pick:
A) 15.41 B) 16.41 C) 15.61 D) 15 E) 16.91

Solution: Explanation:   Average = (2+3+5+7+11+13+17+19+23+29+31+37)/12= 197/12= 16.41(Approx)   Answer is 16.41
Answer: B
Aishwarya’s mom was 38 years of age at the time of her birth, while her mom was 34 years old when her 4 years younger sister was born. The variance between the parents ages is :	Choose the most appropriate option:
A) 6 years  B) 11 years  C) 10years  D) 12 years  E) 8 years

Solution: E   8 years   Mom’s age when Aishwarya’s sister was born = 34 years.   Dad’s age when Aishwarya’s sister was born = (38 + 4)= 
(38 + 4) = 42
42 years.   Needed Variance= (42 – 34) years = 8 years.   Answer is 8 years
Answer: E
A thief steals at a car at 2.00 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
Pick:  A) 1 p.m  B) 3 p.m  C) 4 p.m  D) 4.30 p.m  E) 6 p.m

Solution: D   4.30 p.m   Suppose the thief is overtaken x hrs after 2.00 p.m.   Then, distance covered by the owner in (x - 1/2) hrs.   60x = 75(x - 1/2) => x = 5/2 hrs.   So, the thief is overtaken at 4.30 p.m.
Answer: D
If TIER is written as 7163 and BRAIN is written as 23415, how is RENT coded ? Choose one:  A) 7536  B) 7653  C) 3657  D) 3765  E) None of these

Solution: Explanation:   Given :   Letter : T I E R B A N   Code : 7 1 6 3 2 4 5   Thus, the code for RENT is 3657.   ANSWER 3657
Answer: C
How much time will it take for an amount of Rs. 900 to yield Rs. 81 as interest at 4.5% per annum of simple interest?	Choose the most appropriate option
A) 2 years B) 3 years C) 1 year D) 4 years E) 5years

Solution: Solution:   P = Rs.900   SI = Rs.81   T = ?   R = 4.5%   T= 100×SI/PR=100×81/900×4.5=2 years   2 yearsnswer : Option 2 years
Answer: A
One side of a rectangular field is 14 m and one of its diagonal is 17 m. Find the area of the field.  Choose the correct choice from the following choices:  A) 134.4  B) 120  C) 150  D) 180  E) None

Solution: Solution   Other side = √(17)2 - (14)2   = √289 - 196= 
289 - 196 = 93
√93= 9.6 m.   ∴ Area = (14 x 9.6)m2 = 134.4 m2.   134.4nswer 134.4
Answer: A
An engineer undertakes a project to build a road 15 km long in 300 days and employs 40 men for the purpose. After 100 days, he finds only 2.5 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time. Options:
A) a. 43	B) b. 45	C) c. 55	D) d. 68	E) e. 60

Solution: 40 workers working already   Let x be the total men required to finish the task in next 200 days   2.5 km done hence remaining is 12.5 km   Also, work has to be completed in next 200 days (300 - 100 = 200)   We know that, proportion of men to distance is direct proportion   and, proportion of men to days is inverse proportion   Hence, X = (40 * 12.5 * 100) / (2.5 * 200)   thus, X = 100   Thus, more men needed to finish the task = 100-40= 
100-40 = 60
60   hence Answer is e. 60
Answer: E
In the next Cricket World Cup T-20, Team W has decided to score 200 runs only through 4s and 6s. In how many ways can the Team W score these 200 runs?	Pick:
A) 13
B) 15
C) 16
D) 17
E) 18

Solution: Team W can score a maximum of 50 fours and a minimum of 2 fours with an interval or spacing of 3 units to accommodate the 6's.   So the number of fours scored forms an AP 2, 5, 8, ... 50 with a common difference of 3.   Number of ways of scoring 200 only through 4's and 6's = (50 - 2)/3 + 1= 
(50 - 2)/3 + 1 = 17
17   Answer: D   Alternate solution: 4x + 6y= 200 --> 2x + 3y = 100   x = (100 - 3y)/2 --> 100 - 3y should be even. This is possible when 3y is even.   There are 17 even multiples of 3 between 0 and 100.   Answer: 17
Answer: D
Suresh borrowed some money at the rate of 4% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of 11 years is Rs.8160, how much money did he borrow?	Choose the most appropriate option
A) s.8500	B) s.6000	C) s.8500	D) s.9000	E) s.7000

Solution: using the formula S.I=P*T*R/100   (x*4*3/100)+(x*9*5/100)+(x*13*3/100)=8160   x=8500   i.e money borrowed is Rs.8500   ANSWER:s.8500
Answer: C
Convert the 11/36 m/s into kilometers per hour? Pick.
A) 1.7  B) 1.5  C) 1.3  D) 1.1  E) 1.2

Solution: 11/36 m/s = 11/36 * 18/5 = 11/10= 
11/10 = 11/10 = around 1.1
1.1 kmph.   Answer: 1.1
Answer: D
The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides?  Choose the correct choice from the following options:
A) area=3 B) 4 C) 5 D) 6 E) 7

Solution: S = (1 + 2 + 3) /2= 
(1 + 2 + 3) /2 = 3
3=> No triangle exists   area=3nswer: area=3
Answer: A
The cost of registration at a professional association meeting was $50 per person; a lunch for registrants only was available for an additional $22 per person. If the number of registrants who paid for lunch was 30 more than the number who did not, and if receipts for registration and lunch totaled $75,360, how many people paid just for registration at the meeting? Choose the correct choice from the following answers
A) 700  B) 800  C) 600  D) 1,500  E) 1,800

Solution: Hope this might be useful to you.   Let the number of people who have opted only to register = x   Now since the registration cost is 50$ per person, the total amount sums to = 50x $   As per the information given in the question, the number of registrants who paid for lunch was 30 more than the number who did not. That means, total number of people who registered and paid for lunch = 30 + x.   For the people who registered for lunch the cost is 50 $ (for the event registration) + 22 $ (for lunch) = 72 $.   Total amount in this case sums to = 72(30 + x) = 2160 + 72x   Now, total amount received was 75360.   Thus, from the above data,   50x + 2160 + 72x = 75360   122x = 75360 - 2160   122x = 73200   x = 600.   Hence the correct Ans is 600
Answer: C
You have been given a physical balance and 5 weights of 45, 42, 37, 36 and 67 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 157 kgs. Choose the correct choice from the following answers.
A) 160	B) 151	C) 154	D) 153	E) 152

Solution: 45+42+67= 
45+42+67 = 154
154   Answer: 154
Answer: C
Three numbers are in the ratio 4 : 5 : 6 and their average is 42 . The largest number is: Select the correct option:
A) 28
B) 32
C) 36
D) 50.4
E) 45

Solution: Explanation:   Let the numbers be 4x, 5x and 6x. Therefore,   (4x+5x+6x)/3 = 42   15x = 126   x = 8.4   Largest number = 6x = 50.4.   ANSWER 50.4
Answer: D
The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
Pick one
A) 20 m B) 60 m C) 40 m D) 80 m E) 90 m

Solution: 1/2 * d (10 + 6) = 640   d = 80   ANSWER:80 m
Answer: D
In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is?  Answers:  A) 80  B) 86  C) 92  D) 94  E) 96

Solution: Divisor = (6 * 3) + 2= 
(6 * 3) + 2 = 20
20   5 * Quotient= 20   Quotient = 4.   Dividend = (Divisor * Quotient) + Remainder   Dividend = (20 * 4) + 6= 
(20 * 4) + 6 = 86
86   86)
Answer: B
If n = 2×3×5×7×11×13, then which of the following statements must be true?
I. n2 is divisible by 600
II. n + 19 is divisible by 19
III. is even n+4 / 2 = even
IV . n is Divisible by 35	Choose the correct option:	A) none and IV only	B) b- II only	C) III only	D) I and III only	E) e None

Solution: 2×3×5×7×11×13= 2310   I. not divisible by 600   II 2310+19= 
2310+19 = 2_329
2329 not divisible by 19   III. 2310+4/2= odd   iv. divisible by 35   none and IV only
Answer: A
700 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ? Choose the correct option:
A) 162  B) 138  C) 60  D) 38  E) 14

Solution: Passed in english = 65%   Passed in maths = 55%   Passed in both = 40% of 55% = 2/5 * (55%) = 22%   Passed in (14nglish + Maths - Both + Neither) 2/5 * (55 )= 
2/5 * (55 ) = 22
22%   Passed in (14nglish + Maths - Both + Neither)= 100%   65 + 55 - 22 + Neither = 100   Neither = 100 - 98= 
100 - 98 = 2
2%= 0.02 * 700= 
0.02 * 700 = 14
14   Answer: 14
Answer: E
A group of 16 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase?	Pick.
A) E/(12 - n)  B) nE / [16(16-n)]  C) E/[12(12-n)]  D) (12 - n)/E  E) (12-n)E/(12n)

Solution: total cost =E   no of people willing to participate initially =16   initial cost for each =E/16   when n people decided not to participate   Cost for each =E/16-n   nE / [16(16-n)]
Answer: B
Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is?  Pick.
A) 8 days
B) 10 days
C) 11 days
D) 12 days
E) 14 days

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 = 10 × 40/50 = 8 days   8 days)
Answer: A
In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?	Select the correct option.
A) 27  B) 29  C) 17  D) 10  E) 86

Solution: Convert kmph to mps. 36 kmph = 36 * 5/18= 
36 * 5/18 = 10
10 mps.   The distance to be covered is equal to the length of the train.   Required time t= d/s = 100/10= 
100/10 = 10
10 sec.   Answer:10
Answer: D
The side of a square has the length of 5. What is the area of the region shaded?  Select.
A) 48-8π  B) 48-6 π  C) 24+6π  D) 16-5π  E) 64-8π

Solution: The area of a square whose side is 5 – (the area of a square whose side is 4 + the area of the semi-circle whose side is 4) = the area of the region shaded   The correct answer is 16-5π.
Answer: D
x - y = 4
2x = 2y + 8
The system of equations above has how many solutions? Choose the correct choice from the following answers:
A) None B) Exactly one C) Exactly two D) Exactly three E) Infinitely many

Solution: x-y=4 ---------------1   2x=2y+8 ---------------2   Divide equation 2 by 2:   2x/2=(2y+8)/2   x=y+4   x-y=3----------------3   Infinitely manyquation 1 and 3 are equal and thus have infinitely many solutions:   x-y=4   x=8, y=4   x=6, y=2   x=7, y=3   Ans:Infinitely many
Answer: E
A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be both spade. Find the probability of the lost card being a spade. Pick one: A) 10/50 B) 10/53 C) 11/50 D) 11/53 E) 12/53

Solution: total cards:52   drawn cards(spade):2   now, actual present total cards=total cards-drawn cards=52-2= 
52-2 = 50
50   total spade=spade-drawn cards(spade)=13-2= 
13-2 = 11
11   so,probability=11/50   ANSWER:11/50
Answer: C
Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 5 percent during the second year, and decreased by 15 percent during the third year. What is the value of the account today?	Choose the correct choice from the following choices:	A) $10,350	B) $9817.50	C) $10,500	D) $11,500	E) $12,705

Solution: Value after 1 year: 10,000 * 1.1 = 11,000   Value after 2 years: 11,000 * 1.05 = 11,550   Value today: 11,550 * 0.85 = 10,395   Answer $9817.50 is correct.
Answer: B
Integer d is the product of the integers a,b, and c and 1<a<b<c. If the remainder when 233 is divided by d is 79, what is the value of a+c?	Choose the correct option:
A) 7	B) 9	C) 13	D) 14	E) 18

Solution: 79 is the remainder, therefore the number(a*b*c) or multiple of the number we need is 79 less than 233   Hence 233- 79= 
233- 79 = 154
154   Therefore, 154 is either a number we want or it is a multiple of the number we want   But the largest factor of 154 is 77 because 77 * 2= 
77 * 2 = 154
154   But 77 is less than 79 hence it can not be a number   Thus 154 is the number we want   a*b*c= 154   now factorize 154 =1*2*7*11 all are prime   Also we know 1<a<b<c   thus a = 2 and c = 11   therefore a+c= 2+11= 
2+11 = 13
13   ANSWER:13
Answer: C
If 2/X - 2 = 3/X - 3, then X = Choose the correct option
A) -3/2
B) 2/3
C) -1
D) 1
E) 3/2

Solution: We're given the equation 2/X - 2 = 3/X - 3. We're asked for the value of X.   The common-denominator of these 4 numbers is X, so we need to multiply both sides of the equation by X, giving us...   2X/X - 2X = 3X/X - 3X   We can then eliminate that denominator, which gives us....   2 - 2X = 3 - 3X   1 = X   1
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?  Select
A) 535 m B) 100 m C) 186 m D) 168 m E) 150 m

Solution: Speed = 60 * 5/18   = 50/3 m/sec   Length of the train   = speed * time   = 50/3 * 6= 
50/3 * 6 = 100
100 m   Answer:100 m
Answer: B
The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?	Choose the correct answer.
A) 120
B) 388
C) 278
D) 298
E) 271

Solution: 4*5*6= 
4*5*6 = 120
120   120nswer: 120
Answer: A
Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
Choose one.
A) 30	B) 36	C) 40	D) 45	E) 50

Solution: Speed => x   two trains = 2x   2x = 120+120/12==>2x=20   x=10   speed = 10 m/sec = 10*18/5= 
10*18/5 = 36
36   ANSWER 36
Answer: B
A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Choose the correct choice from the following answers.
A) 6 min	B) 7 min	C) 9 min	D) 4 min	E) 2 min

Solution: Clearly, pipe B is faster than pipe A and so, the tank will be emptied.   Part to be emptied = 2/5   Part emptied by (A + B) in 1 minute   = (1/6 - 1/10)   = 1/15   1/15 : 2/5 :: 1 : x   x = (2/5 * 1 * 15)= 
(2/5 * 1 * 15) = 6
6 min.   So, the tank will be emptied in 6 min.   6 minnswer:6 min
Answer: A
The speed of a boat in still water is 30 kmph. What is the speed of the stream if the boat can cover 80 km downstream or 40 km upstream in the same time?	Choose the correct choice from the following choices:
A) 11 kmph B) 10 kmph C) 12 kmph D) 16 kmph E) 15 kmph

Solution: X = the speed of the stream   (30 + X) / (30 - X) = 2/1   30+ X = 60 - 2X   3X = 30   X = 10 km/hour   If the speed of the stream is 10km/hour, then the 'downstream' speed of the boat is   30+10= 
  30+10 = 40
40km/hour and the 'upstream' speed of the boat is 30-10= 
30-10 = 20
20km/hour. In that way, if the boat traveled for 2 hours, it would travel 2x40= 80km downstream and 2x20 = 40 km/hour upstream.   Answer : 10 kmph
Answer: B
A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year? Choose the correct choice from the following answers.
A) 3:5  B) 3:4  C) 3:8  D) 3:9  E) 3:1

Solution: They should share the profits in the ratio of their investments.   The ratio of the investments made by A and 3:4   =6000 : 8000 => 3:4   Answer:3:4
Answer: B
Jill has 21 gallons of water stored in quart, half-gallon, and one gallon jars. She has equal numbers of each size jar holding the liquid. What is the total number of water filled jars?	Choose the correct choice:
A) 3 B) 6 C) 9 D) 36 E) 14

Solution: Let the number of each size of jar = wthen 1/4w + 1/2w + w = 21 1 3/4w = 21w=12The total number of jars = 3w =36Answer: 36
Answer: D
There are 10 magazines lying on a table; 6 are sports magazines and the other 4 are current affairs magazines. If 4 magazines are to be selected at random from the 10 magazines, what is the probability that at least one of the current affairs magazines will be selected?	Select the correct option.
A) 2/5	B) 3/5	C) 4/5	D) 6/5	E) 7/5

Solution: Total probability=10C4=210   4C4 +4C3*6C1+4C2*6C2+4C1*6C3=1+24+21+80= 
1+24+21+80 = 126
126   therefore the probability that at least one of the current affairs magazines will be selected= 126/210=3/5   answer is 3/5
Answer: B
5a=15625. Find 5a-3
Answers:
A) 125 B) 228 C) 270 D) 778 E) 101

Solution: 125NSWER : 125
Answer: A
A factory has a fixed cost of $41,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly? Answers.
A) 9,000  B) 14,000  C) 16,400  D) 22,500  E) 27,000

Solution: selling price - 16,400ost price = 2.5 so per unit profit =2.5   cost to recover =41000   no of items required = 41000/2.5= 
41000/2.5 = 16_400
16400   Answer: 16,400
Answer: C
You are renting an apartment and you need √729 for each side, how many feet are you looking to measure?
Choose one:
A) 21
B) 22
C) 23
D) 24
E) 27

Solution: Try filling the numbers into the answer y x y =   Find the closest to 729   Answer 27
Answer: E