MU-NLPC/Calc-aqua_rat huggingface dataset:
A train moves at 80kmph to reach destination point of 640km. Find the time taken to travel.	Pick.
A) 8
B) 7
C) 9
D) 6
E) none

Solution: Length = Speed * time   Time= L/S   Time =640km/80kmph   Time =8Hrs   8ns: (8 )640  /80= 
640  /80 = 8
8Hrs   8ns: (8 )
Answer: A
The workforce of Company X is 40% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 50%.How many employees did the company have after hiring the additional male workers? Choose the correct choice:
A) 480
B) 500
C) 520
D) 460
E) 440

Solution: let x be the total worker then 0.4x =female worker and 0.6x is male worker then 20 male worker added   04x/(0.6x +20) = 50/100 or 40x = 50*( 0.6x+100) = 30x+ 5000 or 10x = 5000 , x = 500   total worker = 500 +20= 
500 +20 = 520
520   520
Answer: C
The triplicate ratio of 1:7 is? Answers.
A) 1:7
B) 1:8
C) 1:343
D) 1:1
E) 1:2

Solution: 1^3: 7^3 = 1:343   Answer: 1:343
Answer: C
Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. Six years from today, the difference between the age of the boy and the combined ages of the girls will be  Choose the correct option:
A) 1
B) 2
C) -3
D) –5
E) –1

Solution: Approach I (Plugin's)   Girl I ............... Girl II ................ Boy   1 ....................... 1 ........................ 3 (Assume the current ages)   1 + 1 < 3 .......... (Satisfies the given condition)   1 Year later there ages are   2 ....................... 2 ......................... 4   2 + 2= 
2 + 2 = 4
4 ............ (Satisfies the given condition)   After 6 years there ages are   7 ....................... 7 ............................ 9   –5ifference= 9 - (7+7) = 9 - 14 = -5   Answer = –5
Answer: D
What is the product of the prime numbers between 10 and 20 Choose the correct choice from the following.
A) 10^1	B) 10^2	C) 10^3	D) 10^4	E) 10^5

Solution: 10^5)
Answer: E
1852 - 1230 ÷ 10.00 = ? Choose the correct choice: A) 62.2 B) 2000 C) 1700 D) 1729 E) None

Solution: Answer   Given expression = 1852 - 1230 ÷ 10.00   = 1852 - 123= 
1852 - 123 = 1_729
1729   Correct Option: 1729
Answer: D
A stock trader originally bought 300 shares of stock from a company at a total cost of m dollars. If each share was sold at 60% above the original cost per share of stock, then interns of m for how many dollars was each share sold?	Choose the correct choice from the following choices:
A) a) 2m/300
B) b) m/300
C) c) 5m/900
D) d) m/300 + 50
E) e) 350/m

Solution: Let c) 5m/900ost of 300 shares be $ 3000   So, c) 5m/900ost of 1 shares be $ 10 =>m/300   Selling price per share = (100+60)/100 * m/300   Or, Selling price per share = 5/3 * m/300 => 5m/900   Hence answer will be (c) 5m/900)
Answer: C
The speed of a car is 140 km in the first hour and 40 km in the second hour. What is the average speed of the car? Choose the correct option:
A) 72 kmph B) 75 kmph C) 30 kmph D) 90 kmph E) 82 kmph

Solution: S = (140 + 40)/2= 
(140 + 40)/2 = 90
90 kmph   ANSWER:90 kmph
Answer: D
A pineapple costs Rs 7 each and a watermelon costs Rs. 5 each. If I spend Rs 38 on total what is the number of pineapple I purchased?
Choose the correct choice from the following answers:
A) 7
B) 6
C) 5
D) 2
E) 3

Solution: Explanation:   The equation for this problem can be made as:   5x + 7y =38   Where x is the number of watermelons and y is the number of pineapples.   Now test for 2, 3 and 4:   For y = 2   5x + 14 =38   x is not an integer   For y = 3   5x = 17   X not an integer   For y =4   X = 2   So 4 pineapples and 2 watermelons can be bought by 38 Rs.   ANSWER:2
Answer: D
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 30 percent during the third year. What is the value of the account today? Choose the correct choice from the following: A) $10,350 B) $8,050 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 * 0.7 = 10,395   Answer $8,050 is correct.
Answer: B
A train 125 m long passes a man, running at 3 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is? Choose the correct choice from the following: A) 48 B) 50 C) 28 D) 26 E) 29

Solution: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 3) km/hr. x - 3 = 45 ==> x = 48 km/hr   48nswer: 48
Answer: A
A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.	Choose the correct choice from the following options
A) 1987  B) 2799  C) 3288  D) 3000  E) 2982

Solution: A:B:C = 5:6:4   Let the total profit = 100 - 30= 
100 - 30 = 70
70   5/15 * 70= 70/3   A share = 70/3 + 30 = 160/3   B + C share = 100 - 160/3 = 140/3   A-(B+C) = 160/3 - 140/3 = 20/3   20/3 ---- 200   100 ---- ? => 3000   Answer: 3000
Answer: D
Tina and Rebecca had the same number of candies. Tina gave Rebecca 24 candies so that now Rebecca has four times as many candies as Tina has. Rebecca has now how many candies initially?
Answers:
A) 36
B) 48
C) 54
D) 55
E) 40

Solution: T = R   T - 24 ;R + 24   R + 24 = 4 ( T - 24 )   R + 24 =4T - 96   R - 4T = - 120   We knowR = T, so   R - 4T = - 120   Or, R - 4R = -120   Or, - 3R = - 120   Or, R = 40( This is the initital no of Candies Rebecca had)   Answer will be 40 40
Answer: E
A company hired a printer to produce a total of x + 1 envelopes. The job consisted of two types of envelopes, 2¢ envelopes and 3¢ envelopes. If the company requested 1 more 2¢ envelopes than 3¢ envelopes, which of the following expressions denotes the cost, in cents, of the total x + 1 envelopes ?
Choices.
A) (7x-4)/2 B) 5x+7 C) 4x-1 D) (3x+22)/2 E) (9x-4)/2

Solution: We can take   X+1 = 5   X= 4   So 2c envelopes will be 3   and 3c envelopes will be 2   So total cost will be 12   Then that is our target   Plug x =4 in answer choices   Only (7x-4)/2 works   Correct (7x-4)/2nswer : (7x-4)/2
Answer: A
A list of measurements in increasing order is 4, 5, 6, 8, 10 and x. If the median of these measurements is 3/4 times their arithmetic mean, what is the value of x?  Choose the correct choice from the following answers:
A) 17
B) 19
C) 21
D) 23
E) 25

Solution: The median is (6+8)/2= 
(6+8)/2 = 7
7   The mean is (4+5+6+8+10+x)/6= (33+x)/6   (33+x) /6 * 3/4 = 7   x = 56-33= 
56-33 = 23
23   The answer is 23.
Answer: D
Evaluate 49 / .07 Select the correct option
A) 400	B) 500	C) 700	D) None of these	E) 506

Solution: Explanation:   49/.07 = 4900/7= 
4900/7 = 700
700   Option 700
Answer: C
What is the remainder when 43^91 is divided by 5?
Choose the correct choice from the following
A) 0
B) 1
C) 2
D) 3
E) 4

Solution: The units digit of the exponents of 3 cycle in a group of 4: {3, 9, 7, 1}   91 has the form 4k+3 so the units digit of 43^91 is 7.   The remainder when dividing by 5 is 2.   The answer is 2.
Answer: C
If x = 5 - q and y = 3q - 1, then for what value of q, x is three times to y ? Choose the correct choice from the following options.
A) 0
B) 1
C) -1
D) -8
E) 8

Solution: Explanation:   x = 3y <=> 5 - q = 3 (3q - 1) <=> 5 - q = 9q - 3 <=> 8q = 8 <=> q = 1.   Answer: 1
Answer: B
Jimâ€™s Taxi Service charges an initial fee of $2.5 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?	Pick:	A) $3.15	B) $4.45	C) $4.80	D) $5.65	E) $5.40

Solution: Let the fixed charge of Jimâ€™s Taxi Service = 2.5 $   and charge per 2/5 mile(.4 mile) = .35$   Total charge for a trip of 3.6 miles = 2.5 + (3.6/.4) * .35   = 2.5 + 9*.35= 
2.5 + 9*.35 = 5.65
5.65 $   Answer $5.65
Answer: D
Which of the following CANNOT be the median E of the four consecutive positive integers w, x, y, and z, where w < x < y < z ?  Choose the correct choice
A) (w+x)/2 - 1 B) (w+z)/2 C) (x+y)/2 D) (y+z)/2 -1 E) (w+x+y+z)/4

Solution: Using the properties of consecutive positive integers we could right away eliminate B,C and E.   (B) - The average of first and last terms is the median   (C) - For even number of integers, the median is the average of middle terms   (E) - The average is equal to median if the integers are consecutive   Remaining answer choices are A and D.   For A, the average of first two consecutive numbers (w,x) will definitely be less than x making it impossible to be a median E.   (w+x)/2 - 1nswer ((w+x)/2 - 1)
Answer: A
E individuals pledged to pay equal contributions so that a charity’s goal of $x could be reached. If d of the contributors failed to pay their share, which of the following represents the additional number of dollars that each of the remaining individuals would have to pay in order to allow the charity to reach its goal?	Choose the correct choice from the following options
A) E-d
B) dx/E
C) dx
D) dx/E(E - d)
E) E-d

Solution: Number of individuals = E   Amount paid by each individual = n   Total expected amount = Charity's goal = nE = x   n = x/E   Number of individuals who fail to pay = d   Contribution from individuals who would fail to pay = dx/E --> Additional amount   Number of individuals who are paying = E - d   Additional amount has to be divided among the (E - d) individuals --> dx/E(E - d)   dx/E(E - d)
Answer: D
In how many ways can live boys and three girls sit in a row such that all boys sit together? Choices:	A) 2888	B) 2887	C) 2880	D) 2886	E) 2881

Solution: Treat all boys as one unit. Now there are four students and they can be arranged in 4! ways. Again five boys can be arranged among themselves in 5! ways.   Required number of arrangements = 4! * 5! = 24 * 120= 
24 * 120 = 2_880
2880.   Answer:2880
Answer: C
A fair 8-sided dice labeled 1 to 8 is tossed three times. What is the probability the value of the dice shown is 3 at least once?	Choose the correct choice.
A) 57/512	B) 7/512	C) 55/512	D) 9/512	E) 11/512

Solution: This is a fair dice with 8 fair sides, so the probability of the dice landing on any sides is equal.   The question ask if the value of the dice is shown 3 at least once   So the calculation of the first possible outcomes is 1/8*1/8*1/8 (all of the dice thrown shown the value of 3)   This is follow by the second possible outcomes if the dice thrown show the value of 3 2 times ( 1/8*1/8*7/8) *7 here referring to any number besides 3   The third possible outcomes is that the dice show the value 3 one time ( 1/8*7/8*7/8)   So the answer is 1/512+7/512+49/512= 57/512   57/512nswer: 57/512
Answer: A
The simple interest on a sum of money will be Rs.400 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?  Select.
A) 800 B) 3799 C) 1200 D) 2693 E) 1732

Solution: P --- 10 ---- 400   P --- 5 ----- 200   3P --- 5 ----- 600   ------   => 800   800nswer: 800
Answer: A
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.1200, what is the reduced price for kg?
Choose the correct choice from the following options: A) s.40 B) s.46 C) s.49 D) s.41 E) s.60

Solution: 1200*(25/100)= 
1200*(25/100) = 300
300 ---- 5   ? ---- 1=> Rs.60   Answer: s.60
Answer: E
If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of the sky ?
Answers:
A) Red	B) BLUE	C) PINK	D) ORANCE	E) BLACK

Solution: Explanation:   Pink → Orange   Orange → Blue   Blue → Red   Red → Green   Green → Black   Black → White   The color of the sky is 'Blue' but in coding language, 'Blue' is called 'Red'.   RedNSWER: Red
Answer: A
c.	What number should replace the letter K?
2, 2, 4, 12, 12, 24, 72, 72, 144, 432, K	Choose the correct answer:
A) 866	B) 864	C) 434	D) 432	E) 452

Solution: The sequence progresses x1, x2, x3 repeated; The letter K should be 432 x 1 = 432.   Ans 432 = 432
Answer: D
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 20, the dividend is:	Options:
A) 1000	B) 1200	C) 1020	D) 100	E) 120

Solution: Divisor = (5 * 20)= 
(5 * 20) = 100
100= 10 * Quotient = Divisor   => Quotient = 100/10= 
100/10 = 10
10   Dividend= (Divisor * Quotient) + Remainder   Dividend = (100* 10) + 20= 
(100* 10) + 20 = 1_020
1020.   1020
Answer: C
Four representatives are to be randomly chosen from a committee of six men and six women. How many different 4-representative combinations contain at least one woman?	Choose the most appropriate option
A) 400
B) 415
C) 455
D) 480
E) 495

Solution: 12*11*10*9/4*3*2*1=11*5*9= 
11*5*9 = 495
495   Forbidden options   6*5*4*3/4*3*2*1=5*3= 
5*3 = 15
15   495-15= 
495-15 = 480
480   ANS:480
Answer: D
Tough and Tricky questions: Word Problems.
ACT Car Company wants to manufacture a new car known as Model X, and it is trying to determine how many cars it needs to sell in order to make an annual profit of $30,500,000. The annual fixed costs for Model X total $50,200,000. In addition, each Model X car has an average cost of $5,000 per vehicle to manufacture. If the Company forecasts it will sell 20,000 Model X cars this year, at what price must the Company sell the car to achieve the desired annual profit?
Choose the correct choice from the following choices
A) $4,035  B) $4,036  C) $9,035  D) $16,140  E) $36,140

Solution: The ACT company plans to make a profit of $30,500,000 and it needs to earn the fixed costs of $50,200,000, so it needs to earn $80,700,000 on top of the costs for the production of the 20,000 cars.   Therefore, price of each car needs to be the unit costs plus $80,700,000/20,000. After removing the 0's, we end with the unit costs plus $8,070/2, which is $5,000 plus $4,035. Therefore, Answer $9,035 is correct.
Answer: C
What is the probability of getting a queen or spade from a set of cards?
Choose the correct option:
A) 3/13
B) 4/13
C) 5/13
D) 6/13
E) 7/13

Solution: no. of spade = 13   no. of queen = 3 (excluding queen of spade)   no. of possible outcome = 13+3= 
13+3 = 16
16   probability= no. of favorable outcome/ total possible outcomes = 16/52 = 4/13   ANSWER:4/13
Answer: B
In a certain game, each player scores either 2 or 5 points. If n players score 2 points and m players score 5 points and the total number of points scored is 65, what is the least possible difference between n and m.
Options.
A) a.1	B) b.3	C) c.5	D) d.6	E) e.9

Solution: 2n+5m=65   try with n=5 and m=11 the equation will be satisfied   2(5)+5(11)=65   so difference between M and N is 6,   Answer d.6
Answer: D
The set X consists of the following terms: {4,44,444,4444,.....}, where the nth term has n 4's in it for example 10th term is 4444444444. What is the hundreds digit of the sum of the first 25 terms of set X?  Pick:
A) 0	B) 2	C) 4	D) 6	E) 8

Solution: 25*4 + 24*40 + 23*400 = 100 + 960 + 9200= 
100 + 960 + 9200 = 10_260
10260   The hundreds digit is 2.   The answer is 2.
Answer: B
Set X is composed of nine numbers, labeled X1 through X9. Set Y is also composed of nine numbers, labeled Y1 through Y9. Set Y is defined as follows: Y1 = 1 + X1; Y2 = 2 + X2; and so on, including Y9 = 9 + X9. How much larger is the sum of set Y's mean and range than the sum of set X's mean and range?
Select the correct option
A) cannot be determined
B) 4
C) 9
D) 5
E) 12

Solution: Yes, the correct answer is cannot be determined
Answer: A
Rohit spends 40 % of his salary on food, 20% on house rent,10% on entertainment and 10% on conveyance. If his savings at the end of the month are Rs. 1500, Then his monthly salary is:
Choose the correct choice from the following answers
A) Rs.6000  B) Rs. 7500  C) Rs. 8000  D) Rs. 9,000  E) Rs. 10,000

Solution: Saving = [100 – (40 + 20 +10 + 10)] %   = 20 %   Let the monthly salary be Rs. X   Then,   20% of X = 1500 ¡ê 20X / 100 = 1500   X = 1500 x 5 = 7500   X = 7500   answer : Rs. 8000
Answer: C
The largest number among st the following that will perfectly divide 101^100 – 1 is:  Choose the correct choice:
A) 9,000	B) 9900	C) 10,000	D) 11,000	E) 12000

Solution: The easiest way to solve such problems for objective exam purposes is trial and error or by back   substituting answers in the choices given.   1012 = 10,201   1012 − 1 = 10,200.   This is divisible by 100.   Similarly try for 1013 − 1 = 1,030,301−1 = 1,030,300.   So you can safely conclude that (1011 − 1) to (1019 − 1) will be divisible by 100.   (10110 − 1) to (10199 − 1) will be divisible by 1000.   Therefore, (101100 − 1) will be divisible by 10,000.   10,000
Answer: C
If x : y = 2 : 9, find the value of (2x + 2y) : (5x – y)	Answers:
A) 22:1
B) 22:3
C) 7:1
D) 5:3
E) 8:1

Solution: Explanation:   Given: x/y = 2/9   (2x + 2y) : (5x – y)   = (2*2 + 2*9) : (5*2 – 9)   = 22:1   22:1NSWER: 22:1
Answer: A
If x is 13 percent greater than 80, then x = Choose the most appropriate option.
A) 88.8  B) 90.4  C) 88.0  D) 70.9  E) 71.2

Solution: 13% of 80 = (80*0.13)= 
(80*0.13) = 10.4
10.4   11% greater than 80= 80 + 10.4= 
80 + 10.4 = 90.4
90.4   Answer is clearly 90.4.
Answer: B
The average age of a family of 6 members is 22 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?	Choose the correct choice from the following answers: A) 15 B) 18 C) 21 D) 12 E) 19

Solution: Present age of total members = 6 X 22 = 132   7 yrs back their ages were = 6 x 7 = 42   Ages at the birth of youngest member = 132 - 42= 
132 - 42 = 90
90   Therefore, avg age at the birth of youngest member= 90/6= 
90/6 = 15
15.   15NSWER:15
Answer: A
The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
Choose the correct choice
A) 23.56  B) 23.58  C) 23.56  D) 23.51  E) 23.57

Solution: Let the side of the square be a cm.   Parameter of the rectangle = 2(16 + 14) = 60 cm Parameter of the square = 60 cm   i.e. 4a = 60   A = 15   Diameter of the semicircle = 15 cm   Circimference of the semicircle   = 1/2(∏)(15)   = 1/2(22/7)(15) = 330/14 = 23.57 cm to two decimal places   Answer:23.57
Answer: E
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%? Choose one:
A) 8
B) 7
C) 5
D) 2
E) 1

Solution: 96% ---- 12   144% ---- ?     96/144 * 12= 
  96/144 * 12 = 8
8   8NSWER 8
Answer: A
If y > 0, (4y)/20 + (3y)/10 is what percent of y?
Select:
A) 40% B) 50% C) 60% D) 70% E) 80%

Solution: can be reduced to 2y/10+3y/10 =y/2=50%   Answer 50%
Answer: B
If the sum of two numbers is 18 and the sum of their squares is 220, then the product of the numbers is	Choices:
A) 40 B) 44 C) 52 D) 88 E) 90

Solution: Sol.   Let the numbers be x and y.   Then, (x+y) = 18 and x2 + y2 = 220.   Now, 2xy = (x+y)2 - (x2 + y2)   = (18)2 - 220= 324 - 220= 
324 - 220 = 104
104   xy= 52.   Answer 52
Answer: C
Eight years ago, the ratio of ages of P and Q was 5:2. Six years from now, the ratio of their ages will be 4:3. What is P's age at present? Choose the correct choice from the following answers
A) 16 B) 18 C) 20 D) 22 E) 24

Solution: 2(P-8)/5 = (Q-8). Then Q = 2(P-8)/5 + 8   3(P+6)/4 = Q+6   3(P+6)/4 = 2(P-8)/5 +14   15P+90 = 8P + 216   7P = 126   P = 18   The answer is 18.
Answer: B
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B? Choose one:
A) 2888	B) 2669	C) 2500	D) 2762	E) 8227

Solution: A:B:2500 = 2/3:1/6:1/6 = 4:1:1   x * 2/100 * 2/3 = 200   B capital = 15000*1/6= 
15000*1/6 = 2_500
2500   Answer:2500
Answer: C
A university needs to select an eight-member committee on extracurricular life, whose members must belong either to the student government or to the student advisory board. If the student government consists of 9 members, the student advisory board consists of 8 members, and 5 students hold membership in both organizations, how many different committee are possible? Pick one
A) 215  B) 275  C) 325  D) 385  E) 495

Solution: student government + the student advisory board consists of  9 + 8= 
 9 + 8 = 17
17 members.   5 students hold membership in both, so they were counted twice.   The total number of people to choose from is 17 - 5= 
17 - 5 = 12
12   The number of ways to choose 8 members from 12 is 12C8= 495   The answer is 495.
Answer: E
Which of the following is an integer?
I. 9! / 6!
II. 9! / 8!
III. 9! / 7!5! Select the correct option:
A) I only B) II only C) III only D) I and II only E) I, II, and III

Solution: 9!/6! = 9*8*7 which is an integer.   9!/8! = 9 which is an integer.   9!/7!5! = 9*8 / 5*4*3*2 = 3/5 which is not an integer.   The answer is I and II only.
Answer: D
John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $18, what was the price before the first discount?	Choose the correct choice from the following choices
A) $32	B) $34.31	C) $28.44	D) $67.54	E) $65.23

Solution: let x be the price before the first discount. The price after the first discount is   x - 25%x (price after first discount)   $32 second discount of 25% of the discounted price after which the final price is 18   (x - 25%x) - 25%(x - 25%x) = 18   Solve for x   x = $32   correct answer $32
Answer: A
Having scored 96 runs in the 19th inning, a cricketer increases his average score by 4. What will be his average score after 19 innings?  Choose the correct answer:
A) 28
B) 27
C) 26
D) 22
E) 24

Solution: Explanation :   Let the average score of the first 18 innings be n   18n + 96 = 19(n+4)=> n = 20   So, Average score after 19th innings = x+4 =24.   Answer : 24
Answer: E
Two pipes A and B can fill a tank in 10 hours and 20 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?  Choose the correct choice from the following answers:
A) 10/3	B) 20/3	C) 15/7	D) 11/17	E) 1/4

Solution: Part filled by A in 1 hour = 1/10   Part filled by 20/3 in 1 hour = 1/20   Part filled by (A+20/3) in 1 hour = 1/10 + 1/20 = 3/20   20/3oth the pipes together fill the tank in 20/3 hours   Answer is 20/3
Answer: B
At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 450-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $200? Choose the correct choice from the following answers:
A) 1,108  B) 3,700  C) 2,108  D) 2,124  E) 2,256

Solution: We have $200 and we have to maximize the number of hot dogs that we can buy with this amount.   Let's try to find out what is the maximum number of hot dogs that we can buy for a lesser amount of money, which in this case is 450 for $22.95.   For the sake of calculation, let's take $23. 23x8 gives 184 ,i.e. a total of 450x8 = 3600 hot dogs . We are left with ~$16. Similarly, let's use $3 for calculation. We can buy 5 20-pack hot dogs (3x5), a total of 20x5 = 100 hot dogs. So we have 3700 hot dogs.   2108 looks far-fetched (since we are not likely to be left with > $1.55). Hence, (b) 3700 (ANSWER 3,700)
Answer: B
In a sample of books, 10 percent are 100-200 pages long, and 60 percent have more than 100 pages. What percentage of the books are more than 200 pages? Select the correct option.
A) 40  B) 50  C) 60  D) 70  E) 80

Solution: 60 percent are more than 100 pages --> This means 60 percent of books are either 100-200 pages or more than 200 pages   Already, we know % of 100-200 pages= 10 %   So, % of 200+ page books = 60 % - 10 % = 50 % .. => (B).. Is it correct ?
Answer: B