MU-NLPC/Calc-aqua_rat huggingface dataset:
When I acquired my Mercedes-Benz car in Germany, the first thing I had to do was to get a license plate. The plate I got had a peculiar number on it. It consisted of 5 different numbers and by mistake when I fixed it upside down the number could be still read, but the value had increased by 78633. Choose the correct choice from the following answers:
A) 10966  B) 10968  C) 10967  D) 10966  E) 10965

Solution: 5 differ numbers can be read upside down same are 0 , 1 , 6 , 8 , 9   try with these no.s   number is 10968.   10968   78633   -------   89601   --------   ANSWER:10968
Answer: B
A basket contains 10 apples, of which 1 is spoiled and the rest are good. If we select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected will include the spoiled apple?  Choose the correct choice
A) 2/9	B) 3/8	C) 2/7	D) 1/6	E) 1/5

Solution: The total number of ways to choose 2 apples is 10C2 = 45   The number of ways that include the spoiled apple is 9C1 = 9   P(the spoiled apple is included) = 9/45 = 1/5   The answer is 1/5.
Answer: E
Ram has two dies which has a nos 2,3,4,6 when he throws the two dies together find the no of possibility so that the some of the two dies should be even...???  Pick.
A) 4/8
B) 5/8
C) 6/8
D) 7/8
E) 3/8

Solution: total possible combinations=(2,2)(2,4)(2,6)(4,2)(4,4)(4,6)(3,3)(6,2)(6,4)(6,6)=10   so probability=10/16=5/8   ANSWER:5/8
Answer: B
When positive integer N is divided by positive integer J, the remainder is 16. If N/J = 127.05, what is value of J?
Choose the correct option:
A) 300	B) 320	C) 370	D) 400	E) 450

Solution: When a number is divided by another number, we can represent it as : Dividend = Quotient * Divisor + Remainder   So, Dividend/Divisor = Quotient + Remainder/Divisor   Given that N/J = 127.05   Here 127 is the quotient.   Given that Remainder = 16   So, 127.05 = 127 + 16/J   So, J = 320   Answer: 320
Answer: B
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $1.20 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?	Choose one.
A) $255  B) $275  C) $510  D) $612  E) $2,550

Solution: Total no. Of boxes = 3060000/(20×20×15) = 510   Total cost = 510×$1.20=$612   Answer $612
Answer: D
Which of the following describes all values of x for which 9–x^2 >= 0? Select the correct option
A) x >= 1
B) x <= –1
C) -3 <= x <= 3
D) x <= –1 or x >= 1
E) –1 <= x <= 1

Solution: 9 - x^2 >=0   means x^2 - 9 <=0   => (x-3)(x+3) <= 0   => -3 <= x <= 3   Answer - -3 <= x <= 3
Answer: C
How many integers between 324,700 and 458,600 have a 2 in the tens digit and a 1 in the units digit?  Choose the correct choice: A) 1339 B) 2300 C) 4200 D) 1340 E) 2414

Solution: There is one number in hundred with 2 in th tens digit and 1 in the units digit: 21, 121, 221, 321, ...   The difference between 324,700 and 458,600 is 458,600-324,700=133,900 - one number per each hundred gives 133,900/100=1,339 numbers.   1339nswer: 1,339 1339
Answer: A
In business, A and C invested amounts in the ratio 4:2, whereas the ratio between amounts invested by A and B was 4:1, If Rs 20,000 was their profit, how much amount did A receive.
Choose the correct choice from the following choices:
A) 13333
B) 26758
C) 45896
D) 14639
E) 89576

Solution: Explanation:   13333:B = 4:1 = 4:1   => 13333:C = 4:2 = 4:2   => 13333:B:C = 4:1:2   13333 share = (4/6)*20000   = 13333   Option 13333
Answer: A
The arithmetic mean and standard deviation of a certain normal distribution are 14.5 and 1.7, respectively. What value is exactly 2 standard deviations less than the mean?	Select the correct option:
A) 10.5
B) 11
C) 11.1
D) 12
E) 12.5

Solution: Mean = 14.5   Two standard deviations is 1.7 + 1.7= 
1.7 + 1.7 = 3.4
3.4   There could be two calues for this.   Mean + two standard deviations= 17.9   Mean - Two standard deviations = 11.1   Answer choice has 11.1 and so 11.1 is the answer.
Answer: C
There is a certain relation between two given words on one side of : : and one word is given on another side of : : while another word is to be found from the given alternatives, having the same relation with this word as the given pair has.  Pick
A) Chauffeur B) Steering C) Mechanic D) Brake E) gren

Solution: Explanation:   Horse is driven by a jockey .   Similarly,car is driven by a chauffeur   Chauffeurnswer: Chauffeur)
Answer: A
If B> 0 and B is divisible by the product of the first nine positive integers, all of the following must be factors of B except  Pick one
A) 35
B) 40
C) 63
D) 315
E) 704

Solution: The question states taht B is divisible by 9!,which is 1*2*3*4*5*6*7*8*9   B=(9!) * some number   A. 35 = 5*7 so will divide B   B. 40 =5*8 so will divide B   C. 63 =9*7 so will divide B   D. 315 =5*7*9 so will divide B   E. 704 =8*8*11 This will not divide B   Ans 704
Answer: E
In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:  Choose the correct choice from the following answers.
A) 3 km/hr  B) 2 km/hr  C) 4 km/hr  D) 6 km/hr  E) 8 km/hr

Solution: Speed in still water =	1/2	(11 + 5) kmph = 8 kmph.   ANSW8 km/hrR:8 km/hr
Answer: E
Anil spends 40% of his income on rent, 30% of the remaining on medicines and 20% of the remaining on education. If he saves Rs. 840 every month, then find his monthly salary?
Choices: A) 2882 B) 2672 C) 2288 D) 2500 E) 1288

Solution: Let's Anil's salary be Rs. 100.   Money spent on Rent = 40% of 100 = Rs. 40.   Money spent on medical grounds = 30% of (100 - 40) = 3/10 * 60 = Rs. 18.   Money spent on education = 20% of (60 - 18) = 1/5 * 42 = Rs. 8.40   Anil saves 100 - (40 + 18 + 8.40) i.e., Rs. 33.60   for 33.6 ---> 100 ; 840 ---> ?   Required salary = 840/33.6 * 100 = Rs. 2500   Answer: 2500
Answer: D
15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 3 hrs. each would it take for 21 women if 3 women do as much work as 2 men?	Choose the correct option
A) 60  B) 20  C) 19  D) 29  E) 39

Solution: Let 1Man does 1unit/hr of work   15M in 21 days of 8hrs will do (15*21*8) units   3W = 2M   1W=(2/3)units/hr   21W with 3hrs a day will take   (15*21*8)/(21*3*(2/3))= 
  (15*21*8)/(21*3*(2/3)) = 60
> 60 Days   60NSWER:60
Answer: A
Shopkeeper rise price by 31% and gives successive discount of 10% and 15%. What is overall % gain or loss?	Choose one:	A) 0.215%	B) 1.215%	C) 3.215%	D) 6.215%	E) 7.215%

Solution: Let d initial price be 100   31 % rise   now price = 131/100*100= 
131/100*100 = 131
131   10% discount   Then price= 131 * 90/100= 
131 * 90/100 = 1_179/10 = around 117.9
117.9   15 % discount   Then price= 117.9 * 85/100= 
117.9 * 85/100 = 100.215
100.215   So Gain= 100.215 - 100= 
100.215 - 100 = 0.215
0.215   Gain %= Gain * 100 /CP   ==> 0.215 * 100 /100= 
0.215 * 100 /100 = 0.215
0.215%   0.215%NSWER:0.215%
Answer: A
Jane covered a distance of 330 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?  Answers:  A) 2 hours 30 minutes  B) 3 hours  C) 2 hours  D) 1 hour 45 minutes  E) None of these

Solution: Answer   Let Jane travel 'x' at 60 miles per hour.   As the total time taken to cover 340 miles is 5 hours, Jane would have traveled (5 - x) hours at 80 miles per hour.   Distance covered at 60 miles per hour = Speed * time = 60 * x = 60x miles.   Distance covered at 80 miles per hour = Speed * time = 80 (5 - x) = 400 - 80x miles.   Total distance covered = Distance covered at 60 miles per hour + Distance covered at 80 miles per hour.   Therefore, total distance = 60x + 400 - 80x.   Total distance travelled = 340 miles.   Therefore, 330 = 60x + 400 - 80x   20x = 50 or x = 2 hours 30 minutes.   Choice 2 hours 30 minutes
Answer: A
1^2 – 2^2 + 3^2 – 4^2 + 5^2 – 6^2 + 7^2 – 8^2 + 9^2 – 10^2=?  Pick.
A) -21 B) -53 C) -35 D) -55 E) -58

Solution: 1-4+9-16+25-36+49-64+81-100= -55   ANSWER:-55
Answer: D
A man invested Rs. 26000 in 5% stock at 104. He sold the stock when the price rose to Rs. 120 and invested the sale proceeds in 6% stock. By doing this his income increased by Rs. 2500. At what price did he purchase the second stock?
Choose the correct choice from the following answers:	A) 125	B) 40	C) 48	D) 35	E) 50

Solution: Assuming that face value of the first stock = Rs.100 as it is not given in the question   Since it is a 5% stock, we can take the dividend per stock = Rs.5   Market Value of the first stock = Rs.104   Investment on the first stock = Rs.26000   Number of stocks purchases = 26000/104= 
26000/104 = 250
250   His total income from all these stocks= Rs.250 × 5 = Rs.1250   He sells each of this stock at Rs.120   ie, amount he earns = Rs.120 × 250 = Rs.30000   He invest this Rs.30000 in 6% stock (here also face value is not given and hence take it as Rs.100)   His new income = Rs.(1250 + 2500) = Rs.3750   ie, By Rs.30000 of investment , he earns an income of Rs.3750   To get an income of Rs.6, investment needed = 30000×6/3750=Rs.48   This is the market value of the second stock   Answer is 48.
Answer: C
55
a6
+ 2b
____
96
If a and b represent positive single digits in the correctly worked computation above, what is the value of a + 2b ?  Options:
A) 2
B) 7
C) 9
D) 11
E) 12

Solution: Adding the digits in unit's place , 5+ 6 + b = 16 (Since a and b are positive single digits )   => b = 5   Now adding the digits in ten's place , 5+a + 2 + 1= 9 (1 has been carried over from unit's place addition)   => a= 1   a+2b = 1+2*5= 
1+2*5 = 11
11   Answer 11
Answer: D
The average weight of 29 students is 28 kg. By the admission of a new student, the average weight is reduced to 27.3 kg. The weight of the new student is Select the correct option: A) 22 kg B) 21.6 kg C) 22.4 kg D) 21 kg E) 7 Kg

Solution: Exp . The total weight of 29 students = 29* 28   The total weight of 30 students = 30* 27.3   Weight of the new student = ( 30*27.3 – 29*28)   = 819 - 812= 
819 - 812 = 7
7   Answer:7 Kg
Answer: E
A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it? Pick one.
A) 11  B) 77  C) 12  D) 99  E) 02

Solution: A's 1 hour work = 1/4;   (B + C)'s 1 hour work = 1/3;   (A + C)'s 1 hour work = 1/2   (A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12   B's 1 hour work = (7/12 + 1/2) = 1/12   B alone will take 12 hours to do the work.   Answer: 12
Answer: C
Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 50% 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?  Choose the most appropriate option:
A) 66%  B) 75%  C) 86%  D) 116%  E) 150%

Solution: Let the price of 86%ompany A's assets be 100   Price of assets of KW is 50% more than company A's assets which is 150   Price of assets of KW is 100% more than company B's assets which means price of 86%ompany B's assets is half the price of KW = 75   A+B = 175   KW = 150   KW/(A+B)*100 = 150/175*100 = 85.7% or 86%   ANSWER:86%
Answer: C
A certain boxer has agreed to pay his opponent a fee of 4% of his total purse for every pound over the specified weight limit he weighs in. If the boxer pays his opponent a fee of $26,250 after weighing in seven pounds over the specified limit, what was the boxer's purse?  Select:
A) $65,625 B) $105,000 C) $150,000 D) $93,750 E) $1,050,000

Solution: .04*7= 
.04*7 = 0.28
.28   26250/.28= $93,750   Answer: $93,750
Answer: D
In a class of 38 students 26 play football and play 20 long tennis, if 17 play above, many play neither?  Choose the correct choice:
A) 6	B) 8	C) 9	D) 12	E) 14

Solution: 26 + 20 - 17= 
26 + 20 - 17 = 29
29   38 - 29= 
38 - 29 = 9
9 play neither   Answer is 9
Answer: C
The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 686, Krishan has ? Choose the correct choice from the following options:
A) s. 2890
B) s. 4046
C) s. 1190
D) s. 1620
E) s. 2680

Solution: Ram : Gopal = 7 : 17 = 49 : 119   Gopal : Krishan = 7 : 17 = 119 : 289   Ram : Gopal : Krishan = 49 : 119 : 289   Ram : Krishan = 49 : 289   Thus, 49 : 289 = 686 : N   &there N = 289 x 686 / 49   = Rs. 4046   Answer :s. 4046
Answer: B
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?  Options
A) 2%
B) 4%
C) 6%
D) 9%
E) 2%

Solution: 65*(90/100)*((100-x)/100) = 56.16   x = 4%   Answer:4%
Answer: B
A salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100. If the sale price of each machine was $10,000 and the salesperson received a $32,000 commission, how many machines did she sell?	Choose the correct choice from the following options:
A) 90 B) 110 C) 105 D) 115 E) 120

Solution: First 100 machines = 3% commission = 0.03*100*10000= 
0.03*100*10000 = 30_000
30000   Commission from sale of next machines= 34000 - 30000= 
34000 - 30000 = 4_000
4000   So 10 more machines..   Total= 110 machines   IMO 110..
Answer: B
An alloy weighing 60 ounces is 20 percent copper. How many ounces of copper must be added to create an alloy that is 60 percent copper?	Select:  A) 40  B) 50  C) 60  D) 70  E) 80

Solution: An alloy of 60oz which is 20% copper means there is 12 oz of gold. To get to an alloy that is 60% copper, let's use this expression: (12 + x)/(60 + x) = 0.60 with x representing the amount of pure copper that must be added to get to 60%. The expression we are using represents the new total weight of pure copper over the new total weight of the alloy and this fraction should represent 60% or 0.6. you will see that 60 is the correct answer, as  72/120= 
 72/120 = 3/5 = around 0.6
0.6   60hoose 60
Answer: C
Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 45% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?  Select the correct option
A) 5%  B) 10%  C) 15%  D) 35%  E) 30%

Solution: The formula is   n(AUBUC) = n(A)+n(B)+n(C)-B+A-N   where B is both (it will sum of (AB), (BC), (CA)).   and A is All   and N is neither   so plugging in we get   100 = 60+50+45+10-B-0   B = 65.   exactly two = 65 - 3(10) = 35   subtracting 10% three times as this value is including in all the (AB), (BC), (CA).   Answer 35%
Answer: D
A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be: Select the correct option
A) 1
B) 2
C) 8
D) 11
E) 10

Solution: Let x = 296q + 75   = (37 x 8q + 37 x 2) + 1   = 37 (8q + 2) + 1   Thus, when the number is divided by 37, the remainder is 1.   1nswer :1
Answer: A
Two cars start from the opposite places of a main road, 105 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?	Pick one:
A) 65  B) 38  C) 20  D) 28  E) 21

Solution: Answer: 20) 20 km
Answer: C
If N = 2^0.25 and N^b = 8, b must equal Choose the correct choice:
A) 3/80
B) 3/5
C) 12
D) 5/3
E) 80/3

Solution: 25/100 = 1/4   N = 2 ^ 1/4   N^b = 2^3   (2^1/4)^b = 2^3   b =12   Answer: 12
Answer: C
If $400 is deposited into a savings account at an annual interest rate of 3% that compounds monthly, what is the value of the investment after 8 years?  Answers:
A) 574.65
B) 514.23
C) 508.35
D) 536.87
E) 235.87

Solution: Using CI Formula:   A=P(1+r/n)^n*t   A=400(1+3/2)^2*8   A=508.35.   Option: 508.35
Answer: C
The wheel of a motorcycle, 70 cm in diameter makes 40 revolutions in every 10 seconds. What is the speed of the motorcycle in km/hr Choose the correct choice from the following answers:
A) 30.68 km/hr  B) 31.68 km/hr  C) 32.68 km/hr  D) 33.68 km/hr  E) None of these

Solution: Explanation:   In this type of question, we will first calculate the distance covered in given time.   Distance covered will be, Number of revolutions * Circumference   So we will be having distance and time, from which we can calculate the speed. So let solve.   Radius of wheel = 70/2= 
70/2 = 35
35 cm   Distance covered in 40 revolutions will be   40 * Circumference=40 * 2*\pi*r =40∗2∗22/7∗35=8800cm   =8800/100= 
8800/100 = 88
88m   Distance covered in 1 sec=88/10= 
88/10 = 44/5 = around 8.8
8.8m   Speed=8.8m/s=8.8∗18/5=31.68km/hr   Option 31.68 km/hr
Answer: B
What is the absolute value of twice the difference of the roots of the equation J= 5y^2 − 20y + 15 = 0 ?  Choose one
A) 0
B) 1
C) 2
D) 3
E) 4

Solution: J=5y^2 − 20y + 15 = 0 --> y^2 − 4y + 3 = 0 --> y=1 or y=3. The difference is 2, twice the difference is 4.   Answer: 4.
Answer: E
Yesterday's closing prices of 2,420 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday? Answers:
A) 484
B) 726
C) 1,100
D) 1,320
E) 1,694

Solution: Lets consider the below -   The number of stocks that closed at a higher price = H   The number of stocks that closed at a lower price = L   We understand from first statement -> H+L = 2420 ----(1)   We understand from second statement -> H = (120/100)L => H = 1.2L ----(2)   Solve eq (1) & (2) to get H = 1320.   1,320 is answer.
Answer: D
10 is 6% of a, and 6 is 10% of b. c equals b/a. What is the value of c? Choices:  A) 3/10  B) 6/17  C) 9/25  D) 10/33  E) 12/35

Solution: 6a/100 = 10   a = 500/3   b/10 = 6   b = 60   c = b/a = 60*3/ 500 = 9/25   The answer is 9/25.
Answer: C
At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but,not together?	Choose the correct choice from the following options:
A) (5 + 5/11 )min past 5
B) (5 + 5/11 )min past 7
C) (5 + 5/11 )min past -0
D) (5 + 7/11 )min past 7
E) (5 + 5/71 )min past 7

Solution: Explanation:   When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.   At 7 o'clock, they are 25 min. spaces apart.   Minute hand will have to gain only 5 min. spaces.   55 min. spaces are gained in 60 min.   5 min spaces are gained in min = min   so, Required time = min past 7   Answer: (5 + 5/11 )min past 7)
Answer: B
Valentine day 14 Feb. 2005 was celebrated by Anand and shilpa on Tuesday. They were very happy. What day of the week would come on 14 Feb. 2010?	Choose the most appropriate option
A) monday B) tuesday C) sunday D) wednesday E) thursday

Solution: feb 14 2005 - tuesday   feb 14 2006 - wednesday   feb 14 2007 - thursday   feb 14 2008 - friday   feb 14 2009 - sunday[since 2008 is leap year , 2 days ll go forward]   feb 14 2010 - monday   mondayNSWER:monday
Answer: A
A certain characteristic in a large population has a distribution that is symmetric about the mean m. 84 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 9.2 years and the standard deviation is 3.5 years, what percent of the distribution has more than 12.7 years as a shelf’s average life?
Choose the correct option:
A) 18%
B) 19%
C) 20%
D) 21%
E) 22%

Solution: Average = 9.2   SD = 3.5   9.2 - 3.5 < 84% of distribution < 9.2 + 3.5   5.7 < 84% of distribution < 12.7   42% is outside this range.   Given: Distribution is symmetric. So 21% of distribution is less than 5.7 and the other 21% of distribution is greater than 5.7.   Answer: 21%
Answer: D
If 20 men can build a wall 66 meters long in 6 days, what length of a similar can be built by 86 men in 8 days?  Choose the correct answer
A) 49  B) 39  C) 29  D) 19  E) None of them

Solution: Let the required length be x meters   More men, More length built (Direct Proportion)   Less days, Less length built (Direct Proportion)   Men 20: 35   Days 6: 3 : : 56 : x   Therefore (20 x 6 x x)=(35 x 3 x 56)= x=(35 x 3 x 56)/120=49   Hence, the required length is 49 m.   49nswer is 49.
Answer: A
In a tournament, there are n teams T1 , T2 ....., Tn with n > 5. Each team consists of k players, k > 3. The following pairs of teams have one player in common: T1 & T2 , T2 & T3 ,......, Tn − 1 & Tn , and Tn & T1. No other pair of teams has any player in common. How many players are participating in the tournament, considering all the n teams together?  Choose the most appropriate option:  A) n(k-1)  B) k(n-1)  C) n(k-2)  D) k(n-2)  E) (n-1)(k-1)

Solution: Explanation :   Let T1 - T6 be the number of teams, and let 1,2,3,4,5,6….be the players in the teams.   Total players if there are no repetition is 6*4 here. Generally, it is n * k. (n = number of teams, k = player/team). However, we see that, in each team, 1 player is repeated. i.e.   T1 & T2 have 4 in common (So 1 can be subtracted)   T2 & T3 have 7 in common (So 1 can be subtracted)   T3 & T4 have 10 in common (So 1 can be subtracted)   T4 & T5 have 13 in common (So 1 can be subtracted)   T5 & T6 have 16 in common (So 1 can be subtracted)   T6 & T1 have 1 in common (So 1 can be subtracted)   So, totally from each column 1 can be subtracted.   There are “n” columns totally, so n can be subtracted ( Here 6 needs to be subtracted)   So, here we have 6 * 4 – 6 players. Generally we have n * k – n i.e n(k-1) players.   n(k-1)nswer : n(k-1)
Answer: A
From the sale of sleeping bags, a retailer made a gross profit of 13% of the wholesale cost. If each sleeping bag was sold for $28, what was the wholesale cost per bag? Pick one:
A) 3.0	B) 3.36	C) 24.78	D) 25.0	E) 31.36

Solution: Cost price * 1.13 = Selling price --> Cost price * 1.13 = $28 --> Cost price = $24.78.   Answer: 24.78.
Answer: C
A furniture store owner decided to drop the price of her recliners by 20% to spur business. By the end of the week she had sold 70% more recliners. What is the percentage increase of the gross?  Pick one:  A) 10%  B) 15%  C) 20%  D) 36%  E) 50%

Solution: Say a recliner is actually worth $100   If she sells 100 recliners then she earns $10000   After the discount of 20%, she will earn $80 per recliner and she sells 70% more ie.,170 recliners   Hence her sales tields 170*80= 
170*80 = 13_600
$13600   Increase in sales=13600-10000= 
13600-10000 = 3_600
$3600   So% increase= 3600*100/10000= 
3600*100/10000 = 36
36%   36% is the answer
Answer: D
A sum of money is divided among A, B, C & D in the ratio 3:5:8:9 respectively. If the share of D Rs.1872 more than the share of A, then what is the total amount of money of B & C together?	Options
A) 3456
B) 4056
C) 4156
D) 4567
E) 6532

Solution: Sol. Share of B + C = -3 x (5 + 8) = Rs. 4056   4056
Answer: B
Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 16 hours respectively. The ratio of their speeds is
Choose the correct choice from the following options
A) 4:1  B) 4:2  C) 4:5  D) 4:3  E) 4:6

Solution: Ratio of their speeds = Speed of first train : Speed of second train   = √16−−√4   = 4:2   Answer is 4:2.
Answer: B