MU-NLPC/Calc-aqua_rat huggingface dataset:
The least number which should be added to 1800 so that the sum is exactly divisible by 5,6,4 and 3 is :	Answers:
A) 3  B) 13  C) 23  D) 30  E) 43

Solution: Solution   L.C.M. of 5,6,4 and 3 = 60. on dividing 1800 by 60, the remainder is 30.   ∴ Number to be added = (60-30)= 
(60-30) = 30
30. Answer 30
Answer: D
A man sells a book at 5% profit. If he had bought it at 5% less and sold it for Re 1 less, he would have gained 10%. The cost price of the book is  Select:
A) Rs 200
B) Rs 150
C) Rs 250
D) Rs 240
E) None of these

Solution: Let the C.P of the article be Rs X   Profit = 5%   Therefore, S.P. = X + 5 % of X = 21X / 20   If C.P would have been (X - 5% of X), i.e.,   Rs 19 X / 20 and S.P would have been Rs [ (21 X / 20) - 1 ],   Then, gain % = 10 %   Therefore, [ { ( 21 X / 20) - 1 } - 19 X / 20 ] / (19 X /20 ) x 100 = 10   (2 X - 20 / 19 X) x 100 = 10   => X = 200   Rs 200NSWER:Rs 200
Answer: A
If x, y, and g are positive numbers such that 10*x/(x+y)+ 20*y/(x+y)=g and if x is less than y, which of the following could be the value of g? Options:	A) 10	B) 12	C) 15	D) 18	E) 30

Solution: Answer choice C: g= 15   (10x + 20y)/(x+y) = 15   10x + 20y = 15x + 15y   5y = 5x   y = x   Doesn't work because the problem states that x<y.   We need y to be larger, so let's try answer choice D: g=18   10x + 20y = 18x + 18y   2y = 8x   y/x = 8/2   Success! x<y.   The correct answer is 18.
Answer: D
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 7. If one of the four staff members worked on the project for 30 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Pick.
A) 60 B) 120 C) 160 D) 200 E) 300

Solution: A:B:C:D=2x:3x:5x:10x, for some positive number x. Total time 2x+3x+5x+10x=20x.   If 2x 2 +3 +5 +10= 
2 +3 +5 +10 = 20
20x.   If 2x= 30 then 20x = 300;   If 3x = 30 then 20x = 200;   If 5x = 30 then 20x = 120;   If 10x = 30 then 20x = 60;   Only answer choices which is not obtained is 160.   Answer: 160.
Answer: C
An alloy is to contain Steel and Iron in the ratio 5:2. The Iron required to be melted with 35kg of Steel is?  Select the correct option:
A) 12kg  B) 14kg  C) 15kg  D) 20kg  E) 18kg

Solution: Let the required quantity of steel be x kg   5:2::35:x   5x =2*35   x = 14kg   Answer is 14kg
Answer: B
A pharmaceutical company received $2 million in royalties on the first $20 million in sales of and then $9 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?	Choose the correct choice from the following choices
A) 8%
B) 15%
C) 45%
D) 52%
E) 56%

Solution: (9/108)/(2/20) = 30/54 = 55,5% it means that 9/108 represents only 83,3%. Therefore a decrease of 15%.   Answer 15%
Answer: B
If 5 spiders can catch five flies in five minutes, how many flies can hundred spiders catch in 100 minutes?	Pick one
A) 100 B) 1000 C) 500 D) 2000 E) None

Solution: 5 × 5 × x = 100 × 100 × 5 ⇒ x = 2000.   Answer: 2000.
Answer: D
A train 125 m long passes a man, running at 7 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choose the correct choice from the following choices
A) 52 km/hr  B) 17 km/hr  C) 76 km/hr  D) 50 km/hr  E) 15 km/hr

Solution: Speed of the train relative to man = 125/10 = 25/2 m/sec.   = 25/2 * 18/5= 
25/2 * 18/5 = 45
45 km/hr   Let the speed of the train be x km/hr. Then, relative speed= (x - 7) km/hr.   x - 7 = 45 => x = 52 km/hr.   52 km/hrnswer: 52 km/hr
Answer: A
A project scheduled to be carried out over a single fiscal year has a budget of $18,000, divided into 12 equal monthly allocations. At the end of the fourth month of that fiscal year, the total amount actually spent on the project was $6500. By how much was the project over its budget?
Answers
A) $500	B) $540	C) $1,050	D) $1,380	E) $1,430

Solution: Difficulty level: 600   Each month's budget = 18000/12= 
18000/12 = 1_500
1500   Budget for 4 months= 4*1500= 
4*1500 = 6_000
6000   $500ctual amount spent= 6500   $500mount spent over the budget = 6500 - 6000= 
6500 - 6000 = 500
500   $500nswer ($500),   Regards,
Answer: A
2 pipes can separately fill a tank in 20hrs and 30hrs respectively. Both the pipes are opened to fillthe tank, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?  Choose the correct choice from the following answers
A) 10 hrs  B) 12 hrs  C) 16 hrs  D) 18 hrs  E) 20 hrs

Solution: 1/20 + 1/30 = 1/12   1 + 1/3 = 4/3   1 --- 12   4/3 --- ?     4/3 * 12= 
  4/3 * 12 = 16
16 hrs   16 hrs
Answer: C
A millionaire bought a job lot of hats 1/4 of which were brown. The millionaire sold 2/3 of the hats including 4/5 of the brown hats. What fraction of the unsold hats were brown.  Choose the correct answer:
A) 1/60  B) 1/15  C) 3/20  D) 3/5  E) 3/4

Solution: If initially he had x hats.   x/4 were brown.   sold x*2/3 hats. left with x/3 hats.   sold (x/4)*((4/5) = x/5 brown hats and left with x/4-x/5= x/20 brown hats.   Fraction of brown hats in total remaining hats = (x/20)/(x/3) = 3/20 hats   ANSWER:3/20
Answer: C
A train running at the speed of 36 km/hr crosses a pole in 9 seconds. What is the length of the train?
Pick one
A) 286 B) 278 C) 90 D) 150 E) 287

Solution: Speed=(36 * 5/18) m/sec = (10) m/sec Length of the train   = (Speed x Time) = (10 * 9)= 
(10 * 9) = 90
90 m.   Answer:90
Answer: C
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 8:6:4. If there are in all Rs.114, the number of 25 paisa coins is?	Choose the correct choice from the following choices
A) 52
B) 62
C) 72
D) 86
E) 74

Solution: 8x 6x 4x   50 25 100   400x + 150x + 400x = 11400   950x = 11400   x = 12 => 6x = 72   Answer: 72
Answer: C
At a tanning salon, customers are charged $10 for their first visit in a calendar month and $4 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon? Pick
A) $1220  B) $1160  C) $1300  D) $1340  E) $1880

Solution: I get B. This question seems too straightforward for 600+. Am I missing something?   100 first-time visits --> 100(10) = $1000   30 + 10= 
30 + 10 = 40
40 subsequent visits --> 40(4)= $160   Total revenue: 1000+ 160= 
1000+ 160 = 1_160
$1160   The answer is $1160.
Answer: B
For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] - 9.8?
Choose the correct choice from the following answers.
A) 12.6.	B) 14.4.	C) 15.8.	D) 16.2.	E) 16.4.

Solution: [6.5] x [2/3] + [2] x 7.2 + [8.4] - 9.8   = 6*0 + 2*7.2 + 8 - 9.8   = 0 +14.4 -1.8   12.6   12.6.nswer 12.6.
Answer: A
The greatest number which on dividing 1657 and 2037 leaves remainders 9 and 5 respectively, is:
Choose the correct choice from the following options.
A) 16
B) 127
C) 235
D) 305
E) 505

Solution: Explanation:   Required number = H.C.F. of (1657 - 9) and (2037 - 5)   = H.C.F. of 1648 and 2032 = 16. 16nswer: 16
Answer: A
30% of employees are women with fair hair. 40% of fair-haired employees are women. What percent of employees have fair hair? Choose the correct choice from the following answers
A) 25
B) 30
C) 50
D) 55
E) 75

Solution: I came up with (E) 75   Think of 100 people total:   From the first fact, 30 of these are women with fair hair.   From the second fact, these 20 women make up 40% of the total fair haired population.   We can then make a ratio of 60:40 fair haired men to fair haired women.   This means that (60/40)*30 equals the number of fair haired men, which is 45 men with fair hair.   Add this 45 to the 30 women and get 75 fair haired men and women out of 100 total men and women.   75%   75
Answer: E
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.33, the number of 25 paisa coins is?
Choose the correct option.
A) 30  B) 31  C) 32  D) 34  E) 33

Solution: 5x 6x 2x   50 25 100   250x + 150x + 200x = 3300   600x = 3300   x = 5.5 => 6x = 33   ANSW33R:33
Answer: E
50% of a number is 10 less than 3/5th of that number. What is the number?  Select:
A) 100
B) 50
C) 150
D) 200
E) 75

Solution: Let the number be x   Then, 3x/5 - (50% of x) = 10   3x/5-50x/100 = 10   x = 100   100nswer is 100
Answer: A
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is ? Select the correct option: A) 5/7 B) 5/9 C) 5/3 D) 5/2 E) 5/1

Solution: No two dice show same number would mean all the three faces should show different numbers. The first can fall in any one of the six ways. The second die can show a different number in five ways. The third should show a number that is different from the first and second. This can happen in four ways.   Thus   6 * 5 * 4= 
  6 * 5 * 4 = 120
120 favourable cases.   The total cases are   6 * 6 * 6= 
  6 * 6 * 6 = 216
216.   The probability= 120/216 = 5/9.   Answer:5/9
Answer: B
Two trains are moving in the same direction at 108 kmph and 54 kmph. The faster train crosses a man in the slower train in 24 seconds. Find the length of the faster train?
Pick one:
A) 320
B) 330
C) 340
D) 350
E) 360

Solution: Relative speed = (108 - 54) * 5/18 = 3 * 5= 
3 * 5 = 15
15 mps.   Distance covered in 27 sec= 24 * 15= 
24 * 15 = 360
360 m.   The length of the faster train= 360 m.   Answer:360
Answer: E
If A and B get profits of Rs.4,000 and Rs.2,000 respectively at the end of year then ratio of their investments are Options
A) 4:1  B) 1:4  C) 3:2  D) 2:3  E) 2:1

Solution: Ratio = 4000/2000= 
4000/2000 = 2
2 : 1   Answer : 2:1
Answer: E
The true discount on a bill due 9 months hence at 16% per annum is Rs. 189.The amount of the bill is	Choose the correct option:
A) Rs. 1386	B) Rs. 1764	C) Rs. 1575	D) Rs. 2268	E) None of these

Solution: Solution   32.5   Let P.W. be Rs. x.Then,S.I. on Rs.x at 16% for 9 months =Rs.189.   ∴ x 16 x9/ 12x 1/100}= 189 or x = 1575.   ∴ P.W. = Rs. 1575.   Answer Rs. 1764
Answer: B
Two numbers are 30% and 37% are less than a third number .How much percent is the second number less than the first? Choose the most appropriate option:  A) 19%  B) 80%  C) 10%  D) 90%  E) 15%

Solution: I II III   70 63 100   70 -------- 7   100 ------ ? => 10%   Answer:10%
Answer: C
Find the least value of 'a' so that 365a24 is divisible by 8.	Select the correct option.
A) 9 B) 8 C) 0 D) 2 E) 1

Solution: Explanation:   Given, number is divisible by 8 only if 'a24' is divisible by 8.   .: Least value of a is '0'.   Answer: Option 0
Answer: C
If the radius of a circle that centers at the origin is 5, how many M points on the circle have integer coordinates? Pick
A) 4	B) 8	C) 12	D) 15	E) 20

Solution: I understand this might not be required but I used the equation of a circle.   Since the origin is at 0, x^2+y^2=5^2.   X,Y could be +/- (0,5 or 5,0) - 4 possibilities.   X,Y could be +/- (3,4 or 4,3) - 8 possibilities.   Ans: M=12
Answer: C
in a certain flower shop, which stocks four types of flowers, there are 1/3 as many violets as carnations, and 1/3 as many tulips as violets. If there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations? Choices:
A) 63
B) 64.28
C) 65
D) 66
E) 68

Solution: Given :-   Violets - C/3   Carnations - C   Tulip - C/9   Rose - C/9   Total flowers in terms of C = C/3+C+C/9+C/9 = 14C/9   Percentage of Carnations = C/14C/9 *100 =64.28%   Answer 64.28
Answer: B
The speed of a train is 90 kmph. What is the distance covered by it in 30 minutes?  Choose one.
A) 15  B) 66  C) 77  D) 52  E) 45

Solution: 90 * 30/60= 
90 * 30/60 = 45
45 kmph   Answer:45
Answer: E
If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of;
5 – 9 + 8 × 3 ÷ 20 =	Choose the most appropriate option
A) 6	B) 9	C) 12	D) -2	E) 8

Solution: 9 9
Answer: B
A and B are two stations 390 km apart. A train starts from A at 10 a.m. and travels towards B at 65 kmph. Another train starts from B at 11 a.m. and travels towards A at 35 kmph. At what time do they meet?  Choose the correct choice.
A) 5.15 a.m B) 7.20 a.m C) 2.15p.m D) 3.45p.m E) 6.10p.m

Solution: Suppose they meet x hours after 10 a.m.   Then, (Distance moved by first in x hrs) + [Distance moved by second in (x-1) hrs]=390.   65x + 35(x-1) = 390 => 100x = 425 => x =	17/4   So, they meet 4 hrs.15 min. after 10 a.m i.e., at 2.15 p.m.   Ans: 2.15p.m
Answer: C
The price of an article has been reduced by 25%. In order to restore the original price the new price must be increased by?  Choose the correct choice from the following answers.
A) 33 1/3%	B) 33 1/8%	C) 33 6/3%	D) 33 8/3%	E) 31 1/3%

Solution: 100   75   -------   75 ------- 25   100 ------ ? => 33 1/3%   33 1/3%nswer: 33 1/3%
Answer: A
The expression rs+r is odd when the r and s are integers. Which of the following expressions must be even? Choose the correct answer:
A) r  B) s  C) r + s  D) rs - r  E) r + s^2

Solution: rs+r is odd   r and s are integers   If r were even rs+r would be even despite any value of s.   s can't be odd, so s must be even.   Ans : s
Answer: B
The product of a and b is equal to 10 more than twice the sum of a and b. If b = 9, what is the value of b - a?	Pick one:
A) 2  B) 5  C) 7  D) 24  E) 35

Solution: ab= 10 + 2(a+b)   9a= 10+2a +18   7a= 28   a=4   b-a= 9-4= 
9-4 = 5
5   5 is the answer
Answer: B
Mike drives his new Corvette from San Francisco to Las Vegas, a journey of 640 miles. He drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. If the second half of the trip takes him 200 percent longer than the first half, what is his average rate P in miles per hour for the entire trip? Choose the correct choice.
A) P=26.7
B) P=30.0
C) P=40.0
D) P=53.3
E) P=60.0

Solution: VERITAS PREPOFFICIAL SOLUTION   Correct Answer : C   Using the formula: Time = Distance/Rate, we find that Mike takes 4 hours to cover the first 320 miles of his trip. Since the 2nd 320 miles take 200% longer than the first, it takes Mike 8 hours longer, or 12 hours. (Note: 200% longer than the first half is not 200% of the first half.) The overall time is 4 hours + 12 hours or 16 hours. Since the definition of Average Rate = Total Distance Traveled/Total Time of Travel, Mike's average rate = 640/16 or 40 miles per hour.   Answer choice P=40.0 is correct.
Answer: C
How many different ways can you select a pilot and a co pilot if you have 45 people to choose from?
Pick one:  A) 199  B) 1980  C) 3984  D) 4950  E) 9900

Solution: You are not just choosing two from 45. Each of the two people chosen fills a particular slot. The first filling the pilot slot and the second filling the copilot slot is different from the first filling the copilot slot and the second filling the pilot slot.   So the answer is in a sense (45C2) x 2 = 1980.   Ans 1980
Answer: B
In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 20 percent of revenues. The profits in 2009 were what percent of the profits in 2008?  Select the correct option:  A) 80%  B) 105%  C) 120%  D) 124.2%  E) 160%

Solution: x = profits   r= revenue   x/r = 0,1   x= 10   r=100   2009:   r=80   x/80 = 0,2 = 15/100   x= 80*20/100= 
80*20/100 = 16
16   16/10= 1,6 = 160%, Answer 160%
Answer: E
Three sets of 40, 50 and 60 students appeared for an examination and the pass percentage was 100, 90 and 80 respectively. the pass percentage of the whole set is	Choose one: A) 88.33 B) 84.33 C) 88.66 D) 84.66 E) None of these

Solution: total passed student =40+45+48= 
40+45+48 = 133
133   133 is 88.66% of 150   ANSWER:88.66
Answer: C
Arabica coffee costs $0.3 per ounce while Robusta coffee costs $0.2 per ounce. If the blend of Arabica and Robusta costs $0.22per ounce, what is the share of Arabica in this blend?	Choose the correct choice from the following options
A) 20%  B) 24%  C) 30%  D) 33%  E) 40%

Solution: a= amount of arabica coffee   1-a = amount of robusta coffee. because if you subtract a from the 1 ounce, the remaining amount is robusta   therefore:   .3a + .2(1-a) = .22   .3a + .2 - .2a = .22   a= .2   therefore: .2/1 ounce = 20%. Therefore, the answer should be 20%
Answer: A
If 7 is added to four times a number and this sum is multiplied by 5, the result is the same as if the number is multiplied by 6 and 7 is added to the product. What is the number?	Choices.
A) -4  B) -3  C) -5  D) -2  E) 11

Solution: let the number be x;   5(7+4x)=6x+7;   x=-2   ANSWER:-2
Answer: D
Two pipes can fill a tank in 30 minutes and 20 minutes. An outlet pipe can empty the tank in 15 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?	Choose the correct choice from the following options:
A) 48 B) 54 C) 60 D) 66 E) 72

Solution: Let V be the volume of the tank.   The rate per minute at which the tank is filled is:   V/30 + V/20 - V/15 = V/60 per minute   The tank will be filled in 60 minutes.   The answer is 60.
Answer: C
Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are
Choose the most appropriate option.
A) 4, 8, 12  B) 5, 10,15  C) 10, 20, 30  D) 12, 24, 36  E) None

Solution: Solution   Let the required numbers be x, 2x and 3x.   Then, their H.C.F = x. So x = 12.   The numbers are 12, 24, 36.   Answer 12, 24, 36
Answer: D
Katy worked for h hours each day for d consecutive days. If she earns $3.5 per hour, what is the total amount she earned?
Options
A) 3.50/d + h  B) 3.50 + d + h  C) 3.50 + dh  D) 3.50h + d  E) 3.50dh

Solution: H hours for d days.   Income each day = 3.5*h   Total income = 3.5*h*d   Correct option: 3.50dh
Answer: E
3^3+3^3+3^3=?  Select.
A) a) 3^3  B) b) 3^4  C) c) 3^5  D) d) 3^6  E) e) 3^15

Solution: The correct answer is b) 3^4 3^4   3^4 = 3^3+3^3+3^3
Answer: B
Jim’s Taxi Service charges an initial fee of $2.25 at the beginning of a trip and an additional charge of $0.15 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?  Choices:	A) $3.15	B) $4.45	C) $3.60	D) $5.05	E) $5.40

Solution: Let the fixed charge of Jim’s Taxi Service = 2.25 $   and charge per 2/5 mile(.4 mile) = .15$   Total charge for a trip of 3.6 miles = 2.25 + (3.6/.4) * .15   = 2.25 + 9*.15= 
2.25 + 9*.15 = 3.6
3.6 $   Answer $3.60
Answer: C
if lox x[9/16] = 1/2 then the value of x
Choose the correct answer:
A) 256/81	B) 250/87	C) -3/4	D) 3/4	E) 5/2

Solution: lox x (9/16) =1/2   x^-1/2 = 9/16=>x=256/81   256/81NSWER 256/81
Answer: A
if 36% of a number is 72, what is the number?	Select
A) 100  B) 200  C) 250  D) 300  E) 350

Solution: Assume number as x then   0.36*x = 72   x = 200   ANSWER:200
Answer: B
If the cost price is 92% of the selling price, then what is the profit percent?	Choices.
A) 9%
B) 11%
C) 13%
D) 21%
E) 19%

Solution: Let S.P. = $100   C.P. = $92   Profit = $8   Profit% = 8/92 * 100 = 25/6 = 9% approximately   9%nswer is 9%
Answer: A
A father is now three times as old as his son. Nine years back, he was four times as old as his son. The age of the son (in years) is  Choose the correct choice from the following.
A) A)12
B) B)15
C) C)18
D) D)27
E) E)22

Solution: Explanation:   Let son's age be x years. Then, father's age = (3x) years.   Nine years ago, father's age = (3x - 9) years and son's age = (x - 9) years.   So, 3x - 9 = 4 (x - 9)=> 3x - 9 = 4x - 36=> x = 27.   Answer: 27
Answer: D
In a certain village, 200 litres of water are required per household per month. At this rate, if there are 10 households in the village, how long (in months) will 2000 litres of water last?
Answers:
A) 1 B) 20 C) 2 D) 200 E) 2.5

Solution: I find it much easier to understand with real numbers, so choose (almost) any numbers to replace m,n and p:   In a certain village,m 200 litres of water are required per household per month. 1t this rate, if there aren 10 households in the village, how long (in months) willp2000litres of water last?   Water required is 200*10= 
200*10 = 2_000
2000 (m*n)   Water available is 2000 (p)   It will last 1 months (p/m*n)   1nswer (1)
Answer: A
A train is 360 meter long is running at a speed of 50 km/hour. In what time will it pass a bridge of 140 meter length?	Options.
A) 87
B) 69
C) 36
D) 72
E) 21

Solution: Speed = 50 Km/hr = 50*(5/18) m/sec = 125/9 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= Distance/speed   = 500 * (9/125)= 
500 * (9/125) = 36
36 seconds   Answer: 36
Answer: C
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number? Answers.
A) 240	B) 270	C) 295	D) 360	E) 260

Solution: x-y=1365   divide larger number by the smaller, we get 6 as quotient and the 15 as remainder   x/y=6 quotient and 15 reminder convert this as   x=6y+15   apply this x in above eqn   therefore,   6y+15-y=1365   5y+15=1365   y+3=273   y=270   ANSWER:270
Answer: B
Miguel is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be olive oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Miguel accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be olive oil? Choices:
A) 15/29  B) 5/8  C) 5/16  D) 1/2  E) 13/27

Solution: Olive Oil = 240*5/8= 
240*5/8 = 150
150   Vinegar= 240*1/4= 
240*1/4 = 60
60   Remainder (240-210) equally divided in three parts   Salt= 10   Pepper = 10   Sugar = 10   The question then says Miquel doubles the vinegar and forgets sugar. Therefore, we will bad salad will have   150 + 120 (for 60*2) + 10+10 = 290   Ratio of Olive Oil/ New salad = 150/290 ie 15/29.   15/29NSWER:15/29
Answer: A
The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 25%, then the cost price of the article is:  Choose the most appropriate option:
A) 500	B) 277	C) 222	D) 448	E) 111

Solution: Explanation:   110% of S.P. = 616   S.P. = (616 * 100)/110 = Rs. 560   C.P = (100 * 560)/125 = Rs. 448   Answer:448
Answer: D
The length and breadth of a rectangular courtyard is 75 m and 32 m. Find the cost of leveling it at the rate of $3 per m2. Also, find the distance covered by a boy to take 4 rounds of the courtyard. Choose the correct choice from the following answers:
A) 3573 B) 3455 C) 8600 D) 7000 E) 7200

Solution: Length of the courtyard = 75 m   Breadth of the courtyard = 32 m   Perimeter of the courtyard = 2 (75 + 32) m   = 2 × 107 m   = 214 m   Distance covered by the boy in taking 4 rounds = 4 × perimeter of courtyard = 4 × 214 = 856 m   We know that area of the courtyard = length × breadth   = 75 × 32 m2   = 2400 m2   For 1 m2, the cost of levelling = $3   For 2400 m2, the cost of levelling = $3 × 2400 = $7200 ANSW7200R : 7200
Answer: E
The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction? Options
A) 5/4	B) 6/8	C) 6/7	D) 3/11	E) 2/7

Solution: Explanation:   The denominator be P, the numerator will be (P - 8).   The fraction will be (P - 8)/P.   Adding 3 to the numerator and subtracting 3 from the denominator, (P - 8 + 3)/(P - 3) = 3/4.   (P - 5)/(P - 3) = 3/4   P = 20 - 9 => P = 11.   The fraction is: 3/11.   Answer 3/11
Answer: D
In a race of 200 m, A can beat B by 32 m and C by 24 m. In a race of 440 m, C will beat B by ?
Choose the correct choice from the following answers
A) 22 m
B) 75 m
C) 85 m
D) 20 m
E) 15 m

Solution: Explanation:   A:B = 200 : 168 = 100:84   A:C = 200 : 176 = 100:88   => B:C = 84:88   When C covers 176 m , B Covers 168 m   When C covers 440 m , B Covers   => 420 m   So C beats B by (440 - 420)= 
(440 - 420) = 20
20 m.   Answer: 20 m
Answer: D