MU-NLPC/Calc-aqua_rat huggingface dataset:
Donna, Chris, and Austin have a total of $93 in their wallets. Donna has $7 more than Chris. Austin has 3 times what Donna has. How much do they have in their wallets?  Pick one:  A) D$20 C$13 Au$60  B) D$40 C$23 Au$40  C) D$60 C$33 Au$30  D) D$80 C$43 Au$20  E) D$90 C$53 Au$90

Solution: Let the amount in Chris’s wallet be $x   Donna has $7 more than Chrish's wallet = $(x + 7)   Austin has 3 times than Donna's wallet = $3(x + 7)   According to the problem, Donna, chris, and Austin have a total of $93 in their wallets.   Therefore,   x + (x + 7) + 3(x + 7) = 93   x + x + 7 + 3x + 21 = 93   5x + 28 = 93   - 28 -28 (subtract 28 from both sides)   5x = 65   or, 5x/5 = 65/5 (Divide both sides by 5)   x = 13   D$20 C$13 Au$60mount in Chris wallet = $x = $13   D$20 C$13 Au$60mount in Donna's wallet = $(x + 7) = $(13 + 7)= 
(13 + 7) = 20
$20   D$20 C$13 Au$60mount in D$20 C$13 Au$60ustin 's wallet= $3(x + 7) = $3(13 + 7) = $3(20) = $ 60   D$20 C$13 Au$60nswer: D$20 C$13 Au$60mount in Chris’s wallet: $13   D$20 C$13 Au$60mount in Donna's wallet: $20   D$20 C$13 Au$60mount in D$20 C$13 Au$60ustin's wallet: $60   correct answer D$20 C$13 Au$60
Answer: A
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.80. How much was lent at 5%?
Select.
A) 228	B) 299	C) 266	D) 500	E) 1000

Solution: (x*5*1)/100 + [(1500 - x)*6*1]/100 = 80   5x/100 + 90 â€“ 6x/100 = 80   x/100 = 10   => x = 1000   Answer:1000
Answer: E
A grocer purchased 20 kg of rice at the rate of 15 per kg and 30 kg of rice at the rate of 13 per kg. At what price per kg should he sell the mixture to earn 331/3% profit on the cost price?
Choose the correct choice from the following answers.
A) 28.0 B) 20.0 C) 18.4 D) 17.4 E) None of these

Solution: 18.4P= 20 ×15 + 30 ×13 = 690   \ sp = 4⁄3 of 690 × 1⁄50 = 18.40   Answer 18.4
Answer: C
Weights of two friends Ram and Shyam are in the ratio 4:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?	Select:
A) 19%  B) 10%  C) 21%  D) 16%  E) None

Solution: Solution:   given ratio of Ram and Shayam's weight = 4:5   Hence, (x-15)/(15-10) = 4/5   Or, x = 19%.   19%nswer: Option 19%
Answer: A
The radius of a semi circle is 6.7 cm then its perimeter is?	Pick: A) 32.75 B) 32.45 C) 22.45 D) 34.45 E) 32.15

Solution: 36/7 r = 6.7 = 34.45   Answer:34.45
Answer: D
The average weight of 8 person's increases by 3 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Choose the correct answer.
A) 60 kg  B) 70 kg  C) 80 kg  D) 89 kg  E) 95 kg

Solution: Total weight increased = (8 x 3) kg = 24 kg.   Weight of new person = (65 + 24)= 
(65 + 24) = 89
89 kg.   89 kg)
Answer: D
The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students? Answers: A) 82.5 B) 52.9 C) 52.2 D) 52.5 E) 52.7

Solution: Sum of the marks for the class of 30 students = 30 * 40= 
30 * 40 = 1_200
1200   Sum of the marks for the class of 50 students= 50 * 60= 
50 * 60 = 3_000
3000   Sum of the marks for the class of 80 students=   1200 + 3000= 
1200 + 3000 = 4_200
4200   Average marks of all the students= 4200/80= 
4200/80 = 105/2 = around 52.5
52.5   Answer:52.5
Answer: D
20 litres of mixture contains 40% alcohol and the rest water. If 8litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
Pick one
A) 26.32%	B) 35.14%	C) 28.57%	D) 25%	E) 31.14%

Solution: Alcohol in the 20litres of mix. = 40% of 20litres = (40*20/100)= 
(40*20/100) = 8
8litres   water in it= 20-8= 
20-8 = 12
12litres   new quantity of mix.= 20+8= 
20+8 = 28
28 litres   Quantity of alcohol in it= 8litres   Percentage of alcohol in new mix. = 8*100/28 = 50/3= 28.57%   Answer is 28.57%
Answer: C
Three numbers are in the ratio 4 : 5 : 6 and their average is 25 . The largest number is:
Choose the correct choice from the following answers
A) 28  B) 30  C) 36  D) 42  E) 45

Solution: Explanation:   Let the numbers be 4x, 5x and 6x. Therefore,   (4x+5x+6x)/3 = 25   15x = 75   x = 5   Largest number = 6x = 30.   ANSWER 30
Answer: B
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is: Pick:
A) 448
B) 488
C) 542
D) 548
E) 560

Solution: Required number = (L.C.M. of 12, 15, 20, 54) + 8   = 540 + 8= 
540 + 8 = 548
548.   answer :548
Answer: D
Calculate the standard deviation of each data set {10,10,10,10,10}  Choose the correct answer:  A) 8.05  B) 9  C) 10  D) 15  E) 15.5

Solution: Standard Deviation Data set 8.05   = √[ ( (9-10)2+(10-10)2+(11-10)2+(7-10)2+(13-10)2 )/5 ] = 2   Standard Deviation Data set B   = √[ ( (10-10)2+(10-10)2+(10-10)2+(10-10)2+(10-10)2 )/5 ] = 0   Standard Deviation Data set C   = √[ ( (1-10)2+(1-10)2+(10-10)2+(19-10)2+(19-10)2 )/5 ] = 8.05   Option 8.05
Answer: A
If x is a positive even number, then each of the following is odd EXCEPT  Choose the correct choice from the following options:  A) (x + 3)(x + 5)  B) x^2 + 5  C) x^2 + 6x + 9  D) 3x^2 + 4  E) 5(x + 3)

Solution: lets see the choices..   A. (x + 3)(x + 5)   We have two terms with x and each is added with a odd number..   each bracket becomes odd and Odd*Odd=Odd   B. x^2 + 5   here we are adding an Odd number to even.. so E + O=O   C. x^2 + 6x + 9   here we are again adding an Odd number to even.. so E +E + O=O   D. 3x^2 + 4   here we are adding an Even number to even.. so E + E=E..   so this is our answer   E. 5(x + 3)   again O*O=O   ANSWER:3x^2 + 4
Answer: D
A rectangular box of volume x has width, depth and height in the ratio of 5:1:2 (in that order). What is the width as a function of x?  Choose the correct answer:
A) (4x/12)^(1/2)  B) (10x/4)^(1/2)  C) (5x)^(1/2)  D) (2x/5)^(1/2)  E) (4x/3)^(1/2)

Solution: We are given width = 5, depth = 1, height = 2   Then Volume x = Width x Depth x Height = 5*1*2= 
5*1*2 = 10
10   i.e. x= 10   i.e. The correct option should result in 5 (the width) on substituting the value of x=10   Checking options with x=10   A) (4x/12)^(1/2) = (4*10/12)^(1/2) = (40/12)^(1/2) INCORRECT ANSWER   (10x/4)^(1/2)) (10x/4)^(1/2) = (10*10/4)^(1/2) = 25^(1/2) = 5 CORRECT ANSWER   C) (5x)^(1/2) = (5*10)^(1/2) = 50^(1/2) INCORRECT ANSWER   D) (2x/5)^(1/2) = (2*10/5)^(1/2) = 4^(1/2) = 2 INCORRECT ANSWER   E) (4x/3)^(1/2) = (4*10/3)^(1/2) = 40/3^(1/2) INCORRECT ANSWER   Answer: Option (10x/4)^(1/2)
Answer: B
A man has a job, which requires him to work 8 straight days and rest on the ninth day. If he started work on Monday, find the day of the week on which he gets his 12th rest day.	Choices:
A) Thursday
B) Wednesday
C) Tuesday
D) Friday
E) None

Solution: Explanation :   The man get his 1st rest on the ninth day,   So he will get his 12th rest on : 12x9 = 108th day   The first day is monday so 108th(15x7 + 3) day will be same as 3rd day which will be Wednesday.   Answer : Wednesday
Answer: B
A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?  Choose the correct choice: A) 9:1 B) 9:9 C) 9:7 D) 9:5 E) 9:2

Solution: Milk = 3/5 * 20= 
3/5 * 20 = 12
12 liters, water= 8 liters   If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.   Remaining milk = 12 - 6= 
12 - 6 = 6
6 liters   Remaining water= 8 - 4= 
8 - 4 = 4
4 liters   10 liters of pure milk are added, therefore total milk= (6 + 10)= 
(6 + 10) = 16
16 liters.   The ratio of milk and water in the new mixture= 16:4 = 4:1   If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 * 10= 
4/5 * 10 = 8
8 liters.   Amount of water removed= 2 liters.   Remaining milk = (16 - 8)= 
(16 - 8) = 8
8 liters.   Remaining water= (4 -2)= 
(4 -2) = 2
2 liters.   The required ratio of milk and water in the final mixture obtained= (8 + 10):2 = 18:2 = 9:1 9:1nswer:9:1
Answer: A
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 35%?  Choose the most appropriate option:  A) 228  B) 480  C) 267  D) 416  E) 276

Solution: SP = 800   Profit = 25%   CP = (SP)*[100/(100+P)]   = 800 * [100/125]   = 640   Loss 800 *  100/125= 
800 *  100/125 = 640
640   Loss= 25% = 25% of 640 = Rs.224   SP = CP - Loss = 640 - 224 = Rs.416   Answer: 416
Answer: D
What is the smallest positive integer x for which x3+5xx3+5x has a value more than 80?
Options
A) 2 B) 3 C) 4 D) 5 E) 6

Solution: 4^3 + 5*4 = 64 + 20= 
64 + 20 = 84
84   That's pretty close to 80 already so I can cancel D and E since they'll be more than 80. B just needs to be checked just in case so...   3^3 + 5*3= 27 + 15 = not close to 80.   Therefore, 4 (4) is the smallest positive integer x for which x^3 + 5x has a value more than 80.ANSWER:4
Answer: C
The cash realised on selling a 14% stock is Rs.109.25, brokerage being 1/4% is Choose the correct choice from the following answers:	A) 123	B) 109	C) 100	D) 156	E) 240

Solution: Explanation:   Cash realised= Rs. (109.25 - 0.25)   = Rs. 109.   Answer: 109
Answer: B
X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.24200. What is the share of X in the profit? Choose the correct choice.
A) Rs.14400
B) Rs.26400
C) Rs.12000
D) Rs.12500
E) Rs.13200

Solution: Ratio of the investment=21000:17500=210:175   =42:35=6:5   Share of X in the profit=(24200×6)/11=   =13200   ANSWRs.13200R:Rs.13200
Answer: E
How many terminating zeroes W does 200! have?  Pick
A) 40	B) 48	C) 49	D) 55	E) 64

Solution: You have 40 multiples of 5, 8 of 25 and 1 of 125. This will give 49 zeros.49
Answer: C
P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?  Choices
A) 10 days
B) 14 days
C) 15 days
D) 9 days
E) 5 days

Solution: Explanation :   Amount of work P can do in 1 day = 1/20   Amount of work Q can do in 1 day = 1/30   Amount of work R can do in 1 day = 1/60   P is working alone and every third day Q and R is helping him   Work completed in every three days = 2 × (1/20) + (1/20 + 1/30 + 1/60) = 1/5   So work completed in 15 days = 5 × 1/5 = 1   Ie, the work will be done in 15 days   Answer :15 days
Answer: C
30 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?
Select:
A) 30  B) 32  C) 45  D) Data inadequate  E) None of these

Solution: Capacity of the tank = 30 Ã— 13.5= 405 litres   When the capacity of each bucket = 9 litres, then the required no. of buckets   =405â„9 = 45   Answer 45
Answer: C
Surekha started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajesh joined him with an amount of Rs. 35,000. In 2001, Surekha invested another additional amount of Rs.10,000 and Jay joined them with an amount of Rs.35,000. What will be Rajesh's share in the profit of Rs.1,20,000 earned at the end of 3 years from the start of the business in 1999?  Choose the correct choice from the following answers.
A) Rs 40000 B) Rs 50000 C) Rs 70000 D) Rs 75000 E) None

Solution: Surekha:Rajesh:Jay= (25000×12+35000×12+45000×12):(35000×24) : (35000×12) = 1260000 : 840000 : 420000 = 3 : 2 : 1. Rajesh's share =Rs.(120000×2/6) = Rs.40000.   Rs 40000nswer Rs 40000
Answer: A
A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately?	Choose the correct choice:	A) 10.7 km/hr	B) 10.8 km/hr	C) 17.8 km/hr	D) 10.5 km/hr	E) 30.8 km/hr

Solution: Total distance traveled = 10 + 12= 
10 + 12 = 22
22 km /hr.   Total time taken= 10/12 + 12/10 = 61/30 hrs.   Average speed = 22 * 30/61 = 10.8 km/hr.   Answer:10.8 km/hr
Answer: B
A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?	Choose the correct answer.
A) 2.4 km
B) 2.9 km
C) 3.4 km
D) 4.4 km
E) 5.6 km

Solution: Explanation:   Speed in still water = 5 kmph   Speed of the current = 1 kmph   Speed downstream = (5+1)= 
(5+1) = 6
6 kmph   Speed upstream= (5-1)= 
(5-1) = 4
4 kmph   Let the required distance be x km   Total time taken= 1 hour   ⇒ x/6+x/4=1   ⇒2x+3x=12   ⇒5x=12   ⇒x=2.4 km   2.4 kmnswer: Option 2.4 km
Answer: A
On Monday, Lou drives his vehicle with 27-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his vehicle to 30-inch tires yet drives to work at the same average speed as on Monday. What is the percent change from Monday to Tuesday in the average number of revolutions that Lou's tires make per second?  Choose the correct choice from the following answers.
A) Decrease by 14.3% B) Decrease by 10% C) Increase by 14.3% D) Increase by 12.5% E) Cannot be determined with the given information.

Solution: 270 the LCM   On Tuesday  270/30= 
 270/30 = 9
9   On Monday  270/27= 
 270/27 = 10
10   Therefore, 9-10/10= -10% decrease   Answer is Decrease by 10%
Answer: B
If x = a!, which of these following values of a is the least possible value (in this list) for which the last 10 digits of the integer x will all be zero? Choose the correct answer.
A) 16 B) 27 C) 38 D) 44 E) 63

Solution: 2*5 will give one 0 at the end. We need 2^10*5^10 to get 10 zeroes at the end.   There are many 2's, so we need to find the first 10 appearances of 5.   These multiples of 5 are: 5, 10, 15, 20, 5*5, 30, 35, 40, 45...which gives us 10.   To have at least 10 zeroes at the end, a => 45.   The answer is 63.
Answer: E
Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?  Choose the correct choice from the following choices
A) 2/5
B) 1/6
C) 1/4
D) 1/9
E) 2/6

Solution: 1/6   1/6   A's one day's work = 1/30   1/6's one day's work = 1/45   (A + 1/6)'s one day's work = 1/30 + 1/45 = 1/18   The part of the work completed in 3 days = 3 (1/18) = 1/6.
Answer: B
At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s – 1). An employee with a salary grade of 4 receives how many more dollars per hour than an employee with a salary grade of 1?  Select the correct option.
A) $0.75  B) $1.00  C) $1.25  D) $1.50  E) $1.75

Solution: Salary grade of 4 is p(4)=9.50+0.25(4–1)=9.50+0.25*3;   Salary grade of 1 is p(1)=9.50 + 0.25(1–1)=9.50;   p(4)-p(1)=9.50+0.25*4-9.50=0.75.   $0.75nswer: $0.75.
Answer: A
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 option:
A) 337  B) 278  C) 287  D) 270  E) 191

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
Take a marker and start from a corner of a cube. How many edges you can trace if you dont move the marker twice anywhere and never remove it? (You can move the marker only on the corner and edges)  Choose the correct choice:
A) 7
B) 8
C) 9
D) 10
E) 11

Solution: we can trace 9 edeges   ANSWER:9
Answer: C
X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?  Choose the most appropriate option:
A) Rs 14400	B) Rs 26400	C) Rs 12000	D) Rs 12500	E) Rs 13000

Solution: Ratio of the investment   =21000:17500=210:175 = 42:35 = 6:5   26400*6/11=2400*6= 
2400*6 = 14_400
14400   Rs 14400NSWER Rs 14400
Answer: A
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?	Choose one:
A) 33 1/8% B) 33 3/3% C) 33 1/3% D) 32 1/3% E) 33 5/3%

Solution: 675 ---- 225   100 ---- ? => 33 1/3%   Answer:33 1/3%
Answer: C
Two cups X and Y contain coffee and water combined in the ratio 8:5 and 5:2 correspondingly. What is the ratio in these 2 combinations be combined to get a new combination has coffee and a water in the ratio of 9:4?
Choose the correct choice from the following answers: A) 2:5 B) 2:3 C) 2:7 D) 2:9 E) None of these

Solution: Explanation :   i) : If C.P. of coffee be Re.1   Given ratio of combination in X= 8:5   Coffee in 1 cup combination in X = (8/13)cups   C.P of 1 cup combination in X= Rs. 8/13   Therefore, The ratio of Combination in Y = 5:2   Coffee in 1 cup combination in Y – (5/7) cups   C.P of 1 cup combination in B = Rs. 5/7   Ratio of new combination = 9:4   milk in 1 cup combination = 9/13   C.P of 1 cup combination = Rs/ 9/13 (Mean price)   ii) : By the rule of allegation,   i. C.P of 1 cup of combination in X =8/13   ii. C.P of 1 cup of combination in Y = 5/7   iii. Mean price (p) = 9/13   iv. d – m = 9/13 – 5-7 = 2/91   v. m – c = 9/13 – 8/13 = 1/13   Needed ratio = 2/91 : 1/13 = 2:7   Answer : 2:7
Answer: C
A seller uses 840gm in place of 1kg to sell his goods. Find his actual % profit or loss, when he sells his article his article on 4% gain on cost price?  Choose the correct choice from the following answers.
A) 23 17/21%
B) 25%
C) 27 25/37%
D) 30%
E) 32%

Solution: Selling price of 840gm = 100+4= 
100+4 = 104
$104   Profit= 104-84= 
104-84 = 20
$20   % of profit= 20*100/84 = 23 17/21 %   23 17/21%nswer is 23 17/21%
Answer: A
Write 840,000,000,000 in scientific notation.  Select the correct option: A) 8.4 * 10^11 B) 800.900 * 10^11 C) 8.900 * 10^11 D) 80.9000* 10^11 E) 08.900 * 10^11

Solution: a * 10 n , where a is a real number such that 1 * |a| < 10 and n is an integer.   840,000,000,000 = 8.4* 100,000,000,000 = 8.4 * 10 11**   correct answer 8.4 * 10^11
Answer: A
The product of all the prime numbers less than 20 is closest to which of the following powers of 20 ?
Choose the correct choice from the following answers.
A) 10^9	B) 10^8	C) 10^7	D) 10^6	E) 10^5

Solution: 2*3*5*7*11*13*17*19   2*19*3*17*5*13*7*11   38*51*65*77   By approximation   40*50*70*70   2000*4900   By approximation   2000*5000   10,000,000   10^7
Answer: C
Tough and Tricky questions: Distance/Rate.
On a reconnaissance mission, a state-of-the-art nuclear powered submarine traveled 300 miles to reposition itself in the proximity of an aircraft carrier. This journey would have taken 1.5 hour less if the submarine had traveled 10 miles per hour faster. What was the average speed, in miles per hour, for the actual journey?
Choose one:
A) 20  B) 40  C) 60  D) 80  E) 100

Solution: Say, if speed is 60, 300/40 = 7.5 hrs and 300/50= 
300/50 = 6
6 hrs (a reduction of 1.5 hr -> Correct answer)   Answer (40)
Answer: B
A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent W of the cost would the gross profit on the item have been if it had been sold without the discount?
Choices.
A) 20%	B) 40%	C) 50%	D) 60%	E) 75%

Solution: Let the Market Price of the product is MP.   Let the Original Cost Price of the product is CP.   Selling Price (Discounted Price) = 100%of MP - 20%MP   = 80% of MP. ---------------- (1)   Profit made by selling at discounted price = 20% of 50%P -------------- (2)   Apply the formula:   Profit W= Selling Price - Original 50%ost Price   => 20% of 50%P = 80% of MP - 100% 50%P   => MP = 12050%P/80 = 3/2 (50%P)   Now if Product is sold without any discount, then,   Profit = Selling Price (without discount) - Original 50%ost Price   = Market Price - Original 50%ost Price   = MP - 50%P   = 3/2 50%P - 50%P   = 1/2 50%P   =50%of 50%P   Thus, Answer should be50%.
Answer: C
The expression 10^12−120 is divisible by all of the following integers EXCEPT
Options:	A) 7	B) 3	C) 4	D) 8	E) 11

Solution: Yeah. I agree this question has two answers which are (B) and (E). If 10 is power to odd number and equal or more than 5, then the answer choice (7) is correct.
Answer: A
The public library has exactly 2 floors. It has 1/3 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 5/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor?	Choose the correct option:
A) 1/4  B) 5/14  C) 5/9  D) 9/14  E) 18/23

Solution: Let x be the no of shelves and y be the no of books per shelf on first floor.   Now no of shelves on 2nd floor = (1/3)*x   no of books per shelf on 2nd floor = (5/6) * y   So total no books on first floor = xy and total no of books on 2nd floor = (1/3)*x*(5/6)*y = (5/18)*xy   fraction of library books on first floor = (xy)/(xy + (5/18)*xy)   =1 / (1+(5/18))   =18/23   So 18/23
Answer: E
Seller selling an apple for Rs.19, a Seller loses 1/6th of what it costs him. The CP of the apple is? Choose one.
A) 10
B) 12
C) 20
D) 18
E) 21

Solution: SP=19Loss=20P20Loss=20P−SP=20P−19⇒20P20=20P−19⇒19 20P20=19⇒20P20=1⇒20P=20   20
Answer: C
Ifaequals the sum of the even integers from 2 to 60, inclusive, andbequals the sum of the odd integers from 1 to 59, inclusive, what is the value of a - b ? Choose the correct choice from the following:
A) 1
B) 10
C) 30
D) 20
E) 21

Solution: This is a solution from Beatthegmat:   even numbers:   (60-2)/2 + 1= 
(60-2)/2 + 1 = 30
30 even integers.   (60+2)/2= 
(60+2)/2 = 31
31 is the average of the even set.   sum= avg*(#of elements) = 31*30= 
31*30 = 930
930= a   odd numbers:   (59-1)/2 + 1= 
(59-1)/2 + 1 = 30
30 odd integers.   (59+1)/2= 
(59+1)/2 = 30
30 is the average of the odd set.   sum= avg*(#of elements) = 30*30= 
30*30 = 900
900= b   a-b = 930 - 900= 
930 - 900 = 30
30. Answer : 30
Answer: C
Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability W that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls?	Options: A) 8/28 B) W=9/28 C) W=10/28 D) 10/18 E) 11/18

Solution: (3c2 *2c1*3c2)/8c5   =(3*2*3)/(8*7*6/3*2)   =18/56   =9/28   W=9/28
Answer: B
Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay?  Choose the most appropriate option:
A) 30 years
B) 40 years
C) 32 years
D) 48 years
E) None of these

Solution: Let the present ages of Ajay and Vijay be 'A' and 'V' years respectively.   A - 8 = 4/3 (V - 8) and A + 8 = 6/5 (V + 8)   3/4(A - 8) = V - 8 and 5/6(A + 8) = V + 8   V = 3/4 (A - 8) + 8 = 5/6 (A + 8) - 8   => 3/4 A - 6 + 8 = 5/6 A + 20/3 - 8   => 10 - 20/3 = 10/12 A - 9/12 A   => 10/3 = A/12 => A = 40.   ANSWER:40 years
Answer: B
A, B and C start a business each investing 20,000. After 6 months A withdrew 5000, B withdrew 4000 and C invests 6000 more. At the end of the year, a total profit of 67,600 was recorded. Find the share of B.
Options:
A) 20,000  B) 21,200  C) 21,600  D) 20,500  E) None of these

Solution: Ratio of the capitals of A, B and 21,600   = 20000 Ã— 6 + 15000 Ã— 6 : 20000 Ã— 6 + 16000 Ã—6 : 20000 Ã— 6 + 26000 Ã— 6   = 210000 : 216000 : 250000 = 210 : 216 : 250   Bâ€™s share = (67600 Ã— 216â„676) = 21600   Answer 21,600
Answer: C
The point A and point B is 30 miles apart, the point B and point C is 25 miles apart. A car travels from point A to point B in 30 min and point B to point C in 40 min. What is the average speed of the car? Choose the correct option:
A) 34.15	B) 40.35	C) 47.14	D) 50.12	E) 56.66

Solution: Average speed=Total distance covered/Total time taken   =55miles/70min   =0.79miles/min   =47.14 miles/hour   Answer: 47.14
Answer: C
The L.C.M of two numbers is 2310 and their H.C.F is 30. If one number is 385 the Other is  Choose the correct answer.
A) 180  B) 300  C) 270  D) 250  E) 350

Solution: The other number   = L.C.M * H.C.F/given number   = 2310*30/385= 
2310*30/385 = 180
180   180nswer is 180.
Answer: A