MU-NLPC/Calc-aqua_rat huggingface dataset:
Two cars were driven by A and B. They were 580 miles apart when they started driving towards each other.A's car had traveled at a speed of 20 miles per hour, 4 hours per day for 5 days when it had met B's car. If B had driven 3 hours per day for days, what was B's speed in miles per hour?  Choose the correct choice from the following choices
A) 8  B) 9  C) 105  D) 11  E) 10

Solution: 1. At 20mph for 4 hours a day, then driver A was traveling 80 miles per day. When A met with B, A had already traveled 400 miles.   2. This means that driver B had traveled 580-400= 
580-400 = 180
180 miles upon meeting up with A. B traveled a total of 3 x 6= 18 hours (3hrs/day for 6 days). 180 miles / 18 hours = 10mph   3. Answer 10!
Answer: E
What proximate value should come in place of the question mark (?) in the following question?
7.595 Ã— 1084 + 2568.34 â€“ 1708.34 = ?  Choose the most appropriate option
A) 6,000  B) 12,000  C) 10,000  D) 9068  E) 9,099

Solution: ? â‰ˆ 7.6 Ã— 1080 + 2560 â€“ 1700 â‰ˆ 8208 + 860 â‰ˆ 9068   Answer 9068
Answer: D
The charge for a single room at Hotel P is 40 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G ?	Answers:
A) 15% B) 20% C) 40% D) 50% E) 150%

Solution: Let rate in R = 100x   then P = 60x   G = 100y   P = 90y   Thus   60 x=90y   or x = 1.50 y   Ans R = 150y   so increase = 50%   Answer: 50%
Answer: D
The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?  Choose the most appropriate option
A) 1000  B) 3898  C) 7973  D) 2703  E) 2881

Solution: 2 * 22/7 * 1.75 * x = 11000   x = 1000   1000nswer: 1000
Answer: A
Four brothers Adam, Bill, Charles and David together contributed certain amount of money and purchased a car. The contribution made by Adam is half that of the total contribution made by the other three brothers, contribution made by Bill is one-fourth of the total contribution made by the other three brothers and the contribution made by Charles is two-third of the total contribution made by the other three brothers. If the total price of the car is $9600, find the contribution made by David.	Choose the correct choice from the following.
A) $540 B) $580 C) $600 D) $640 E) $680

Solution: Given that A:(B+C+D)= 1:2.   Hence A contributed 1/3rd of the total price.   Given B:(A+C+D)=1:4   Hence B contributed 1/5th of the total price.   Given C:(A+B+D)=2:3   Hence C contributed 2/5th of the total price.   Thus the contribution made by A,B and C= 1/3+1/5+2/5=14/15   So, the remaining 1/15th of the price is contributed by David.   Hence David's contribution= 1/15×9600=$640.   The answer is $640.
Answer: D
A die is thrown twice and the sum of the numbers appearing is observed to be 6.
find the conditional probability that the number 4 has appeared at least once? Pick one.
A) 2/5 B) 3/5 C) 3/11 D) 3/13 E) 3/17

Solution: Let E be the event that ‘number 4 appears at least once’ and F be   the event   that ‘the sum of the numbers appearing is 6’.   Then, E = {(4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (1,4), (2,4), (3,4),   (5,4), (6,4)}   and F = {(1,5), (2,4), (3,3), (4,2), (5,1)}   We have P(E) = 11/36   and P (F) = 5/36   Also EnF = {(2,4), (4,2)}   Therefore P(EnF) = 2/36   the required probability   P(E|F) = P(EnF)/P(F) = (2/36)/(5/36) = 2/5.   2/5)
Answer: A
What is the value of (44444445*88888885*44444442+44444438)/44444444^2
Choose the correct answer:
A) 78888883	B) 98888883	C) 88888886	D) 88888883	E) 88888888

Solution: let consider x=44444444   (x+1)*(2x-3)*(x-2)+(x-6)/x^2   =2x^3-5x^2/x^2   =2x-5   =2*44444444-5= 
2*44444444-5 = 88_888_883
88888883   ANSWER:88888883
Answer: D
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 8 per square feet if there is one door of dimensions 6 feet * 3 feet and three WINDOWS of dimensions 4 feet * 3 feet each?	Choose the correct choice from the following answers:	A) 4000	B) 345	C) 5673	D) 7248	E) 8566

Solution: Area of the four walls = 2h(l + b)   Since there are doors and WINDOWS, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.   Total cost = 906 * 8 = Rs. 7248   Answer: Option 7248
Answer: D
The denominator of a fraction is 1 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 3/5. Find the fraction?	Options:
A) 5/4	B) 5/5	C) 5/2	D) 5/9	E) 5/1

Solution: Let the numerator and denominator of the fraction be 'n' and 'd' respectively.   d = 2n - 1   (n + 1)/(d + 1) = 3/5   5n + 5 = 3d + 3   5n + 5 = 3(2n - 1) + 3 => n = 5   d = 2n - 1 => d = 9   Hence the fraction is : 5/9.   Answer:5/9
Answer: D
One man adds 5 liters of water to 10 liters of milk and another 4 liters of water to 20 liters of milk. What is the ratio of the strengths of milk in 2 mixtures? Choose the correct choice from the following.
A) 4:5
B) 9:11
C) 2:3
D) 4:7
E) 3:7

Solution: Strength of milk in the mixture = Quantity of milk/total quantity of mixture   strength of milk in the 1st mixture = 10/15   strength of the milk 2nd mixture = 20/24   The ratio of their strengths = 10/15 : 20/24 = 4:5   Answer is 9:11
Answer: B
7 does not occur in 1000. So we have to count the number of times it appears between 1 and 999. Any number between 1 and 999 can be expressed in the form of xyz where 0 < x, y, z < 9.	Choose the correct option:  A) 210  B) 300  C) 235  D) 256  E) 245

Solution: 1. The numbers in which 7 occurs only once. e.g 7, 17, 78, 217, 743 etc   This means that 7 is one of the digits and the remaining two digits will be any of the other 9 digits (i.e 0 to 9 with the exception of 7)   You have 1*9*9= 
1*9*9 = 81
81 such numbers. However, 7 could appear as the first or the second or the third digit. Therefore, there will be 3*81= 
3*81 = 243
243 numbers (1-digit, 2-digits and 3- digits) in which 7 will appear only once.   In each of these numbers, 7 is written once. Therefore, 243 times.   2. The numbers in which 7 will appear twice. e.g 772 or 377 or 747 or 77   In these numbers, one of the digits is not 7 and it can be any of the 9 digits ( 0 to 9 with the exception of 7).   There will be 9 such numbers. However, this digit which is not 7 can appear in the first or second or the third place. So there are   3 * 9= 
  3 * 9 = 27
27 such numbers.   In each of these 27 numbers, the digit 7 is written twice. Therefore, 7 is written 54 times.   3. The number in which 7 appears thrice - 777 - 1 number. 7 is written thrice in it.   Therefore, the total number of times the digit 7 is written between 1 and 999 is  243 + 54 + 3= 
 243 + 54 + 3 = 300
300   Ans: 300
Answer: B
If x and y are different prime numbers, each greater than 12, which of the following must be true? I. x+y is an even integer II. xy is an odd integer III. (x/y) is not an integer  Pick:
A) I only
B) I,II and III
C) II only
D) III only
E) I,III only

Solution: Given: x and y are different prime numbers, both greater than 12   Statement I: x+y is an even integer   Since x and y are prime numbers greater than 12, they will be odd   Therefore sum will be even.   Correct   Statement II: xy is an odd integer   Since x and y are prime numbers greater than 12, they will be odd   Therefore multiplication will be odd.   Correct   Statement III: (x/y) is not an integer   Since x and y are prime integers, therefore they will not have any common factor apart from 1   Hence (x/y) will not be an integer   Correct   Hence all three statements I, II and III are correct   Answer : I,II and III
Answer: B
A certain truck uses 18 gallons of diesel fuel in traveling 270 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?	Choose the correct choice from the following answers.
A) 8	B) 9	C) 12	D) 15	E) 27

Solution: There are two sets 18G1 gallons and 10G2 gallons details given.   18 gallons covering 270 miles   Then 1 G1 is used to cover 15 miles.   Now for 10 G2 covering 270 miles.   then 1 G2 is used to cover 27 miles.   There must   27 - 15= 
  27 - 15 = 12
12 miles per gallon increment is needed for 10 gallons to improve the mileage to cover 270 miles.   Answer: 12 is correct answer.
Answer: C
Set X consists of all two-digit primes and set Y consists of all positive odd multiples of 9 less than 100. If the two sets are combined into one, what will be the range of the new set?	Pick:
A) 84
B) 89
C) 90
D) 92
E) 95

Solution: Set X = {11, 13, 17,............., 83, 89, 97}   Set Y = {9, 27, 45,..............., 63, 81, 99}   90ombining two sets, say Set Z   Set Z = {9, 11, 13, 17, 27,..................., 63, 81, 83, 89,97,99}   Range = Max Value - Min Value   Range (Z) = 99 - 9= 
99 - 9 = 90
90   OA 90 is the answer.
Answer: C
What is the present worth of Rs. 165 due in 2 years at 5% simple interest per annum
Choose the correct choice from the following answers
A) 110  B) 120  C) 130  D) 150  E) None of these

Solution: Explanation:   Let the present worth be Rs.x   Then,S.I.= Rs.(165 - x)   = (x*5*2/100) = 165 - x   = 10x = 16500 - 100x   = 110x = 16500   x= 150   Answer: 150
Answer: D
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?  Answers
A) 7  B) 6  C) 5  D) 8  E) 2

Solution: Speed downstream = d/t = 85/(2 1/2) = 34 kmph   Speed upstream = d/t = 45/(2 1/2) = 18 kmph   The speed of the stream = (34 - 18)/2= 
(34 - 18)/2 = 8
8 kmph.Answer: 8
Answer: D
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
Choose the correct choice from the following choices.
A) 4:7 B) 4:3 C) 4:0 D) 4:2 E) 4:6

Solution: Let us name the trains A and B.   Then, (A's speed) : (4:3's speed)   = √b : √a = √16 : √9   = 4:3   Answer:4:3
Answer: B
A thief steals at a car at 2.30 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?	Choose the most appropriate option:
A) 1 p.m B) 3 p.m C) 4 p.m D) 5 p.m E) 6 p.m

Solution: D   5 p.m   Suppose the thief is overtaken x hrs after 2.30 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 5 p.m.
Answer: D
A certain street contains 100 buildings.They are numbered from 1 to 100. How many 9s are used in numbering these buildings? Choose the most appropriate option.
A) 21 B) 20 C) 19 D) 18 E) 9

Solution: 9,19,29,39,49,59,69,79,89,90,91,92,93,94,95,96,97,98,99   so number of 9's=20   ANSWER:20
Answer: B
What is the number? I. The sum of the two digits is 8. The ratio of the two digits is 1 : 3. II. The product of the two digit of a number is 12. The quotient of two digits is 3.	Choices: A) I alone sufficient while II alone not sufficient to answer B) II alone sufficient while I alone not sufficient to answer C) Either I or II alone sufficient to answer D) Both I and II are not sufficient to answer E) Both I and II are necessary to answer

Solution: Let the tens and units digit be x and y respectively. Then,   I. x + y = 8 and	x/y	=	1/3   I gives, 4y = 24 y = 6.   So, x + 6 = 8 x = 2.   II. xy = 12 and	x/y	=	3/1   II gives, x^2 = 36 x = 6.   So, 3y = 6 y = 2.   Therefore, Either I or II alone sufficient to answer.   Option Either I or II alone sufficient to answer
Answer: C
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  Pick:
A) 74	B) 78	C) 86	D) 92	E) 98

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: C
In an examination, a student scores 4 marks for every correct answer and loses 1mark for every wrong answer. If he attempts all 200 questions and secures 240 marks, the number of questions he attempts incorrectly, is:	Pick one.
A) 135
B) 200
C) 140
D) 112
E) 48

Solution: Let the number of correct answers be x.   Number of incorrect answers = (200 â€“ x).   4x â€“ (200 â€“ x) = 240 or 5x = 440 or x = 88.   Number of incorrect answers=200-88= 
200-88 = 112
112   ANSWER:112
Answer: D
Paper charge is Rs. 60 per kg. How much expenditure would be there to cover a cube of edge 10m with a paper, if one kg of paper covers 20 sq.m. area?	Pick:
A) Rs. 2250
B) Rs. 3600
C) Rs. 2700
D) Rs. 1800
E) None of these

Solution: Explanation:   Total surface area of the cube =6x(10)2=600sq.m   1kg covers 20sq.m area,for 600 we need=600/20= 
600/20 = 30
30kg paper.   Expenditure=rate x quantity=Rs.60x30kg=Rs.1800   ANSWER IS Rs. 1800
Answer: D
Last year, the taxes for small enterprises, was a minimum of 28 dollars for every 5000 dollars of revenue. Tax rates were revised this year to a minimum tax of 2.5 dollars for every 1500 dollars of revenue. By approximately what percent did the ratio of tax to revenue decrease from the previous charge?
Select the correct option:  A) 70  B) 69  C) 71  D) 66  E) 72

Solution: Initial tax/revenue ratio = 28/5000 = 84/15000   Revised charge/transaction ratio = 2.5/1500 = 25/15000   70nswer: 70
Answer: A
A person crosses a 800m long street in 10 minnutes. What is his speed in km per hour? Pick one:
A) 5.8km/hr B) 4.68km/hr C) 9km/hr D) 2.5km/hr E) 3km/hr

Solution: Speed = 800/10*60 = 1.3m/sec   =1.3*18/5= 
1.3*18/5 = 4.68
4.68km/hr   Answer is 4.68km/hr
Answer: B
If A speaks the truth 40% of the times, B speaks the truth 20% of the times. What is the probability that at least one will tell the truth	Options
A) 1.8 B) 2.0 C) 1.52 D) 0.52 E) 1.3

Solution: probability of A speaks truth p(A)=4/10;false=6/10   probability of B speaks truth p(B)=2/10;false=8/10.For given qtn   Ans=1-(neither of them tell truth).Because A & B are independent events   =1-[(6/10)*(8/10)]=1-48/100=1-0.48= 
1-0.48 = 0.52
0.52   ANSWER:0.52
Answer: D
This is a famous paradox probability riddle which has caused a great deal of argument and disbelief from many who cannot accept the correct answer.
Four balls are placed in a bowl. One is Green, one is Black and the other two are Yellow. The bowl is shaken and someone draws two balls from the bowl. He looks at the two balls and announces that atleast one of them is Yellow. What are the chanches that the other ball he has drawn out is also Yellow?
Choices.
A) 1/4 B) 1/5 C) 1/6 D) 1/7 E) 1/8

Solution: B   1/5   There are six possible pairings of the two balls withdrawn,   Yellow+Yellow   Yellow+Green   Green+Yellow   Yellow+Black   Black+Yellow   Green+Black.   We know the Green + Black combination has not been drawn.   This leaves five possible combinations remaining. Therefore the chances tbowl the Yellow + Yellow pairing has been drawn are 1 in 5.   Many people cannot accept tbowl the solution is not 1 in 3, and of course it would be, if the balls had been drawn out separately and the color of the first ball announced as Yellow before the second had been drawn out. However, as both balls had been drawn together, and then the color of one of the balls announced, then the above solution, 1 in 5, must be the correct one.
Answer: B
Find the compound interest on $ 36,000 at 20% per annum for 9 months, compounded quarterly  Choose the correct choice
A) 2532.6 B) 2552.2 C) 2524.1 D) 5674.5 E) 2512.9

Solution: Principal = $ 36000; Time = 9 months =3 quarters;   Rate = 20% per annum = 5% per quarter.   Amount = $ [36000 x (1+(5/100))^3] = $ 41674.5   CI. = $ (41674.5 - 36000)= 
(41674.5 - 36000) = 5_674.5
$ 5674.5   Answer 5674.5.
Answer: D
A discount electronics store normally sells all merchandise at a discount of 2 percent to 50 percent off the suggested retail price. If, during a special sale, an additional 20 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $100 before any discount?	Choose the correct choice from the following answers:
A) $100.00	B) $40.00	C) $50.00	D) $30.00	E) $10.00

Solution: Original price : 100 $   Max first discount = -50%   Thus : 100âˆ—(1âˆ’50/100)=50   Second discount on the discounted price = -20%   Thus : 50âˆ—(1âˆ’20/100)=40   Answer $40.00.
Answer: B
The letters of the word 'SURITE' are written in all possible orders and these words are written in alphabetical order. Then what is the rank of the word 'SURITI'  Choose the correct answer:
A) - 236
B) - 245
C) - 307
D) - 315
E) - 475

Solution: Total Number of Words = 6! = 720 [(number of characters)/(repeating group )!]   After S, we have T and U.   Number of words starting with T = 5! = 120   Number of words starting with U = 5! = 120   So any word starting with S will have rank < 720 - 120(for Us) - 120(for Ts) = 480   Only option A < 480, so Answer is - 475
Answer: E
Which of the following numbers should not be included in the set?
331, 482, 551, 263, 385, 242, 111	Choose the correct choice from the following
A) 263 B) 385 C) 242 D) 111 E) None of these

Solution: Solution   In each number except 385,the product of first and third digits is the middle one. Answer 385
Answer: B
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?  Choose the correct choice from the following options.
A) 1350	B) 2997	C) 2087	D) 2697	E) 9824

Solution: 1350rea = (l + b +2d) 2d   = (75 + 55 +2.5 * 2) 2*2.5   => 675   675 * 2   = Rs.1350   1350nswer:1350
Answer: A
Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 60 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders who were not employees? Answers:
A) 34%	B) 38%	C) 45%	D) 53%	E) 62%

Solution: Let M represent the number of meeting attendees. Then, since 60% of M or 0.60M   were stockholders and 47% of M or 0.47M were employees, it follows that 0.60M +   0.47M = 1.07M were either stockholders, employees, or both. Since 1.07M exceeds   M, the excess 1.07M − M = 0.07M must be the number of attendees who were both   stockholders and employees, leaving the rest 0.60M − 0.07M = 0.53M, or 53%, of   the meeting attendees to be stockholders but not employees.   The correct answer is 53%.
Answer: D
The average weight of 5 persons increases by 1.5 kg. If a person weighing 65 kg is replaced by a new person, what could be the weight of the new person?
Choose the correct choice from the following
A) 76 kg
B) 77 kg
C) 72.5 kg
D) Data inadequate
E) None of these

Solution: total weight increases = 5 × 1.5 = 7.5 kg   so the weight of new person = 65 + 7.5= 
65 + 7.5 = 72.5
72.5 kg   Answer 72.5 kg
Answer: C
A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 5 people to travel x miles if he decides to give them a 50% discount? Choose the correct choice:  A) xr/40  B) 3x/200r  C) 3r/200x  D) 3xr/200  E) xr/600

Solution: 1 person for x miles = xr cents   5 person for x miles = 5xr   xr/40fter discount 50% = 5xr/2 cents   In dollars = 5xr/200= xr/40   xr/40nswer : xr/40
Answer: A
n a 1000m race, if A gives B a start of 40m, A wing by 19sec. But if A gives B start of 30sec, B wins by 40m.
Find the time taken by B to run 1000m race?
Choose the correct answer
A) 125  B) 130  C) 140  D) 150  E) 160

Solution: then 960/B -1000/125 = 19 => 24/B - 25/125 = 19/40   and 1000/B - 960/125 = 30 => 25/B - 24/125 = 30/40   solving equation 125 speed =8 and B=20/3   for 1000m b will take 1000/20/3= 125 sec   125
Answer: A
If there are 85 students in a statistics class and we assume that there are 365 days in a year, what is the probability that at least two students in the class have the same birthday (assuming birthdays are distributed independently)?  Choose the correct choice from the following answers:	A) 85/365∗84/364	B) 13/65∗13/64	C) 1 - 85!/365!	D) 1 - {365!}/{280!(365^8^5)}	E) 1 - 85!/(365^8^5)

Solution: Probability(At Least 2 share a bday) = 1 - Probability(All 85 have distinct birthdays)   total ways to pick 85 birthdays = 365^85   Ways to pick distinct 85 out of the 365 & distribute it to 85 people = C(365,85)*85!   Hence Probability = 1−365!/280!36585   ANswer is 1 - {365!}/{280!(365^8^5)}
Answer: D
The radius of a cylinder is 10 m, height 15 m. The volume of the cylinder is:	Choose the most appropriate option:
A) 2200	B) 5500	C) 3300	D) 1100	E) 4714.3

Solution: Cylinder volume = Ï€r(power2)h   = 22/7 Ã— 10 Ã— 10 Ã— 15   = 4714.3 m(power3)   Answer is 4714.3.
Answer: E
A doctor prescribed 12 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage lesser than the typical dosage?  Pick one.
A) 8% B) -25% C) 11% D) 12.5% E) 14.8%

Solution: Typical dosage per 15 pound of the body weight = 2 c.c   Typical dosage per 120 pound of the body weight = 2 *(120/15)   = 2 * 8= 
2 * 8 = 16
16 c.c   Dosage prescribed by doctor for 120 pound patient= 12 c.c   % prescribed dosage greater than the typical dosage = (12-16/16) *100%   =(-4/16) *100%   = -25%   Answer -25%
Answer: B
If the simple interest on Rs.3100 amount to Rs. 632.40 in 2 Years, What is the rate percent?  Pick.
A) 11.2%
B) 10.2%
C) 12.2%
D) 13.2%
E) 18.2%

Solution: $632.40 = (3100*2*R)/100   R = 10.2%   Answer: 10.2%
Answer: B
Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?	Choose the correct option
A) 22
B) 27
C) 20
D) 288
E) 21

Solution: Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year.   Rate of interest = (100 * 240) / (100 * 1) = 20% p.a   22nswer: 22
Answer: A
There are 9 novel books, 4 drama books, 12 poetry books and 7 grammar books in my bookshelf. The books are randomly arranged in the shelf and not at all in the order of their type. What is the least number of books that must be drawn from the shelf in order to get 6 books of a particular type? Choices: A) a)	20 B) b)	23 C) c)	25 D) d)	28 E) e)	None of these

Solution: Indeed the answer is A. for the reason explained above
Answer: A
A person purchased a TV set for Rs. 18000 and a DVD player for Rs. 5000. He sold both the items together for Rs. 46000. What percentage of profit did he make?  Pick:
A) 100%
B) 90%
C) 140%
D) 115%
E) 120%

Solution: The total CP = Rs. 18000 + Rs. 5000   = Rs. 2300 and SP   = Rs. 46000   Profit(%)   = (46000 - 23000)/23000 * 100= 
(46000 - 23000)/23000 * 100 = 100
100%   100%nswer:100%
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 option
A) 23.99 cm
B) 18.98 cm
C) 16.98 cm
D) 17.87 cm
E) 23.57 cm

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 cm
Answer: E
The smallest number which when diminished by 5, is divisible by 12, 16, 18, 21 and 28 is
Select
A) 1008	B) 1013	C) 1022	D) 1032	E) 1043

Solution: Required Number = (L.C.M of 12, 16, 18,21,28)+5   = 1008 + 5= 
1008 + 5 = 1_013
1013   Answer: 1013
Answer: B
A certain factory employed 600 men and 400 women and the average wager was Rs. 25.50 per day, If a woman got Rs. 5 less than a man, then what are their daily wages ?	Pick.
A) m:27.50 w:22.22 B) m:27.50 w:22.50 C) m:27.50 w:22.20 D) m:23.50 w:22.50 E) m:27.50 w:21.50

Solution: Explanation:   Let the daily wage of a man be Rs. x.   Then, daily wage of a woman = Rs. (x - 5).   Now, 600x + 400 (x - 5) = 25.50 * (600 + 400) <=> 1000x = 27500 <=> x = 27.50.   Man's daily wages = Rs. 27.50; Woman's daily wages = (x - 5) = Rs. 22.50   Answer: m:27.50 w:22.50
Answer: B