MU-NLPC/Calc-aqua_rat huggingface dataset:
The S.I. on a certain sum of money for 3 years at 10% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?	Choose the correct choice:
A) 2197 B) 1267 C) 1750 D) 2267 E) 1400

Solution: Explanation:   C.I. = [4000 * (1 + 10/100)2 - 4000]   = (4000 * 11/10 * 11/10 - 4000) = Rs. 840.   Sum = (420 * 100)/(3 * 10) = Rs. 1400   Answer:1400
Answer: E
An article is bought for Rs.675 and sold for Rs.700, find the gain percent? Choose the correct option: A) 2% B) 3% C) 4% D) 5% E) 6%

Solution: 675 ---- 25   100 ---- ? =>   =4%   Answer:4%
Answer: C
At a particular graduation party with 220 guests, 70% of the guests brought gifts, and 40% of the female guests brought gifts. If 12 males did not bring gifts to the party, how many females did bring gifts? Choose the correct choice: A) 18 B) 36 C) 42 D) 68 E) 70

Solution: the correct method   total = 220..   70% of 220= 154 got gifts..   66 did not get gift, out of which 12 are males, so remaining 60-12=54 are females..   But 40% females brought gift, so 60% did not get it..   so 60% = 54, 100%= 54*100/60= 90..   ans 40% of 90 =36   36
Answer: B
A car traveled 480 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?  Choose the correct choice from the following
A) 14 B) 16 C) 21 D) 22 E) 27

Solution: Let the speed in highway be h mpg and in city be c mpg.   h = c+6   h miles are covered in 1 gallon   462 miles will be covered in 462/h.   Similarly c miles are covered in 1 gallon   336 miles will be covered in 336/c.   Both should be same (as car's fuel capacity does not change with speed)   => 336/c = 480/h   => 336/c = 480/(c+6)   => 336c+336*6=480c   =>c=336*6/144= 
336*6/144 = 14
14   14nswer 14.
Answer: A
Ramesh has solved 108 questions in an examination. If he
got only ‘0’ marks, then how many questions were wrong
when one mark is given for each one correct answer and 1/3
mark is subtracted on each wrong answer. Pick one:
A) 78
B) 79
C) 80
D) 81
E) 82

Solution: If Ramesh attempts 'x' questions correct and 'y' questions wrong, then   x + y=108 ---(i) &   x - (1/3)y=0 ---(ii)   On solving x=27, y=81   ANSWER:81
Answer: D
Sara bought both German chocolate and Swiss chocolate for some cakes she was baking. The Swiss chocolate cost $2.5 per pound, and German chocolate cost $1.5 per pound. if the total the she spent on chocolate was $30 and both types of chocolate were purchased in whole number of pounds, how many total pounds of chocolate she purchased?  Choose the correct choice from the following answers.
A) 7  B) 18  C) 10  D) 12  E) 11

Solution: If there were all the expensive ones 2.5....   There would be 30/2.5 or 12 of them but since 1.5$ ones are also there, answer has to be >12....   If all were 1.5$ ones, there will be 30/1.5 or 20...   So ONLY 18 is left   Ans 18..
Answer: B
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choose the correct choice from the following choices
A) 340	B) 350	C) 360	D) 370	E) 380

Solution: Speed = 300/18 = 50/3 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/39 = 50/3   3x + 900 = 1950 => x = 350 m.   Answer: Option 350
Answer: B
In a river flowing at 2 km/hr, a boat travels 72 km upstream and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time.
Choose the correct option:
A) 10 hours
B) 12 hours
C) 14 hours
D) 27 hours
E) None of these

Solution: Explanation :   speed of the boat = 6 km/hr   Speed downstream = (6+2)= 
(6+2) = 8
8 km/hr   Speed upstream= (6-2)= 
(6-2) = 4
4 km/hr   Distance travelled downstream= Distance travelled upstream = 72 km   Total time taken = Time taken downstream + Time taken upstream   = (72/8) + (72/4)= 
(72/8) + (72/4) = 27
27 hr. Answer : Option 27 hours
Answer: D
Each week a restaurant serving Mexican food uses the same volume of chili paste, which comes in either 25-ounce cans or 15-ounce cans of chili paste. If the restaurant must order 30 more of the smaller cans than the larger cans to fulfill its weekly needs, then how manysmallercans are required to fulfill its weekly needs? Pick one
A) 60	B) 70	C) 75	D) 100	E) 120

Solution: let x be the number of 25 ounce cans. Therefore (x+30) is the number of 15 ounce cans.   Total volume is same, therefore   25x=15(x+30)   10x=450   x=45   Therefore, number of 15 ounce cans=45+30= 
45+30 = 75
75   Ans - 75
Answer: C
If x^2 + y^2 = 2xy, then (x+y)^2 = Choose the most appropriate option:
A) x^2 B) 3x^2 C) 4xy D) 2y^2 E) -y^2

Solution: Its B   x^2 +y^2 = 2xy   Add 2xy on both sides we get   x^2 +y^2+2xy = 2xy+2xy   (x+y)^2=4xy   4xyorrect Option : 4xy
Answer: C
A company D has 30 percent of the employees are secretaries and 20 percent are salespeople. If there are 60 other employees of Company D, how many employees does Company D have? Answers
A) 120  B) 162  C) 180  D) 152  E) 250

Solution: Let the total number of employees in the company be x   % of secretaries = 30%   % of salespeople = 20%   % of of employees other than secretaries and salespeople = 100 - 50= 
100 - 50 = 50
50%   But this number is given as 60   so 50% of x= 60   x = 120   Therefore there a total of 120 employees in the company D   Correct answer - 120
Answer: A
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay? Choose the correct choice from the following choices:
A) 74%	B) 49%	C) 44%	D) 74%	E) 34%

Solution: g% = 20 + 20 + (20*20)/100= 
20 + 20 + (20*20)/100 = 44
44%   Answer:44%
Answer: C
The editor of an anthology of short stories will select authors from a pool of 10 authors, of which 3 are female. If the anthology is to include the work of 7 authors of which at least 2 are female, in how many ways can the editor select the authors?
Choose the most appropriate option
A) 58  B) 68  C) 78  D) 88  E) 98

Solution: 10C7 = 120   The number of ways to select 7 males is 7C7 = 1   The number of ways to select 6 males and 1 female is 7C6*3C1 = 21   120 - 1 - 21= 
120 - 1 - 21 = 98
98   The answer is 98.
Answer: E
Find the value of p: 5p^2-12p+1 = 20.25	Select: A) 4.5 B) 3.5 C) 20.25 D) 6.2 E) 2.1

Solution: Using the elimination method substitute options for x and find the correct option.   Answer: 3.5
Answer: B
A can do a job in 15days and B in 20days. If they work on it together for 8 days, then the fraction of the work that is left is? Choose the correct choice from the following answers:
A) 2/15	B) 8/15	C) 3/11	D) 1/12	E) 1/15

Solution: A's 1 day work = 1/15   B's 1day work = 1/20   A+B 1day work = 1/15 + 1/20  +  1= 
 +  1 = 1
1/15 + 1/20= 7/60   A+B 8days work = 7/60*8 = 14/15   Remaining work = 1 - 14/15 = 1/15   Answer is 1/15
Answer: E
The price of a shirt is increased by 15% and then reduced by 15%. The final price of the shirt is?  Choose the correct choice from the following options:
A) $97.75
B) $90
C) $91.56
D) $95.62
E) $93.45

Solution: Let the original price be $100   New final price = 85% of (115% of $100) = 85/100 * 115/100 * 100= 
85/100 * 115/100 * 100 = 391/4 = around 97.75
$97.75   $97.75nswer is $97.75
Answer: A
The average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school?
Choose the correct option:
A) 33
B) 25
C) 66
D) 72
E) 81

Solution: 39x = 5 + 12 + 15 + 19 + (x – 4)44   x = 25   Answer: 25
Answer: B
The average of first 13 even numbers is?	Pick.
A) 10
B) 11
C) 12
D) 13
E) 14

Solution: Sum of 13 even numbers = 13 * 14 = 110   Average = 182/13= 
182/13 = 14
14   ANSW14R:14
Answer: E
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey? Pick
A) 3
B) 4
C) 8
D) 9
E) 2

Solution: M = 45   S = 1.5   DS = 6   US = 3   AS = (2 * 6 * 3) /9= 
(2 * 6 * 3) /9 = 4
4   Answer:4
Answer: B
How many integers between 324,700 and 468,600 have tens digit 1 and units digit 3?	Choose the most appropriate option
A) 10,300	B) 10,030	C) 1,353	D) 1,352	E) 1,439

Solution: There is one number in hundred with 1 in the tens digit and 3 in the units digit:13, 113, 213, 313, ...   The difference between 324,700 and 468,600 is 468,600-324,700=133,900 - one number per each hundred gives 143,900/100=1,439 numbers.   Answer: 1,439.
Answer: E
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?	Choose the correct choice from the following answers.
A) 2.5 sec  B) 2.9 sec  C) 3.5 sec  D) 7.5 sec  E) 2.4 sec

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 100/40= 
100/40 = 5/2 = around 2.5
2.5 sec.   2.5 secnswer: 2.5 sec
Answer: A
A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 13. The rate of interest obtained is:  Answers:
A) 12	1/2%
B) 13	1/2%
C) 15%
D) 16	2/3%
E) 18	2/3%

Solution: there is a small correction in this question. the rate of dividend is 13 1/2.   replace 13 in the solution by 13 1/2.   the ans is 15%   ANSWER:15%
Answer: C
The ratio of the present age of Sandy to that of Molly is 9:2. Sixteen years from now, the ratio of the ages of Sandy to Molly will be 5:2. What was Sandy's age 6 years ago? Choose the correct choice
A) 30
B) 36
C) 42
D) 48
E) 54

Solution: Let the present age of Sandy be 9x years and that of Molly be 2x years.   (9x + 16) / (2x + 16) = 5 / 2   8x = 48   x = 6   Six years ago, Sandy's age was 9(6) - 6 = 48   The answer is 48.
Answer: D
One out of every 200 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?	Choices:
A) 2,000
B) 5,000
C) 10,000
D) 50,000
E) 20,000

Solution: 20 broken glasses indicates that  10*10= 
 10*10 = 100
100 defected bulbs are present.   100 defected bulbs indicates that 100*200= 20,000 light bulbs are present.   20,000 is the answer
Answer: E
A car engine is half filled and holds 15 litres of petrol.what fraction of the engine is full if it contains 18 litres of petrol?
Choose the correct answer
A) 1/4
B) 2/3
C) 2/5
D) 3/5
E) 4/5

Solution: half of the car engine filed with 15 ltrs means full engine filed with 30 ltrs so the fraction will be=18/30=6/10=3/5   ANSWER:3/5
Answer: D
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 40 as remainder. Find the no. is?
Pick one:
A) 145646	B) 236578	C) 645353	D) 456546	E) 220040

Solution: (555 + 445) * 2 * 110 + 40 = 220000 + 40= 
220000 + 40 = 220_040
220040   220040
Answer: E
How many pairs of letters in the word 'CHAIRS' have as many letters between them in the word as in the alphabet?  Pick.
A) 2 B) 1 C) 3 D) 5 E) 4

Solution: Letters in the word Letters in the alphabet   C H 2 C B 2   R S R S   2NSWER 2
Answer: A
For integers x and y if x^2+x/y is always an odd integer then which of the following must be true?
Choose the correct choice from the following answers:
A) x is even ; y is odd
B) x is even ; y is even
C) x is odd ; y is odd
D) x is odd ; y is even
E) cannot be determined

Solution: Given x and y are integers...NOTE : While taking values, x/y must be properly divisible and the result has to integer itself..   x^2+x/y = odd always...   lets take x even (2) and y even (2)   4 + 2/2 = odd...   lets take x odd(3) and y odd(3)   9+3/3 = even...   So only x even and y even satisfies the equation..   If we take one even and other odd then we get x/y as non integer..which shouldn't be the case as per our question stem.   Option x is even ; y is even is correct...
Answer: B
Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 6w widgets?	Choose the correct choice from the following.
A) 36	B) 6	C) 8	D) 10	E) 12

Solution: Let Y produce w widgets in y Days   Hence, in 1 day Y will produce w/y widgets.   Also, X will produce w widgets in y+2 days (given, X takes two more days)   Hence, in 1 day X will produce w/y+2 widgets.   Hence together X and Y in 1 day will produce {w/y + w/y+2} widgets.   Together X and Y in 3 days will produce = 3 * [{w/y + w/y+2}] widgets.   It is given that in 3 days together they produce (5/4)w widgets.   Equating, 3 * [{w/y + w/y+2}] = (5/4)w   Take out w common and move 3 to denominator of RHS   w{1/y + 1/(y+2)} = (5/12)w   Canceling w from both sides   {1/y + 1/(y+2)} = 5/12   2y+2/y(y+2) = 5/12   24y+24=5y^2 + 10y   5y^2-14y-24=0   5y^2-20y+6y-24=0   5y(y-4)+6(y-4)=0   (5y+6)+(y-4)=0   y=-6/5 or y=4   Discarding y=-6/5 as no of days cannot be negative   y=4   hence it takes Y, 4 days to produce w widgets.   Therefore, it will take X  (4+2)= 
 (4+2) = 6
6 days to produce w widgets.   Hence it will take X 6*6= 
6*6 = 36
36 days to produce 2w widgets.   36nswer : 36
Answer: A
In a classroom, the average age of boys (b) is g and the average age of girls (g) is b. The average age of all is b+g. At the time of calculation, the class teacher, who is 42 years old was also present in the class. Can you find the value of b+g?	Pick: A) 8 B) 9 C) 10 D) 11 E) 12

Solution: Solution:   b+g = 8   Explanation:   for b in range(1,99):   for g in range(1,99):   sum1=2*b*g+42   sum2=(b+g)*(b+g+1)   if(sum1==sum2):   print(b,g,sum1)   (b,g)=(3,5) => b+g=8   8nswer 8
Answer: A
A can do a piece of work in 10 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?	Choose the correct choice.
A) 15 days
B) 10 days
C) 12 days
D) 19 days
E) 13 days

Solution: 10 days   (x â€“ 5)/10 + x/20 = 1   x = 10 days
Answer: B
A certain city with a population of 180,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district What is the minimum possible population that the least populated district could have ?
Choose the most appropriate option:
A) a) 10,700	B) b) 10,800	C) c) 10,900	D) d) 15,000	E) e) 11,100

Solution: Let x = number of people in smallest district   x*1.1 = number of people in largest district   x will be minimised when the number of people in largest district is maximised   10*x*1.1 = 11x = total number of people in other districts   So we have 11x + x = 180k   x = 15,000   Answer : d) 15,000
Answer: D
Look at this series: 66, 66, 60, 60, 54, 54, ... What number should come next?
Choose one
A) 48
B) 15
C) 17
D) 19
E) 11

Solution: In this series, each number is repeated, then 6 is subtracted to arrive at the next number.   The next number should be 48   48nswer : 48
Answer: A
A rectangular tiled patio is composed of 160 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 160 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout? Choose the correct choice from the following choices.
A) 5
B) 6
C) 10
D) 13
E) 28

Solution: Suppose there are c columns and there are r rows   Original Situation   So, Number of tiles = c*r = 160   Also. Reach column has r tiles and each row has c tiles   New Situation   Number of tiles in each column is r-2 and number of tiles in each row is c+4   So, number of rows = r-2 and number of columns is c+4   So, Number of tiles = (r-2)*(c+4) = 160   10omparing both of them we get   c*r = (r-2)*(c+4)   => 4r -2c = 8   c = 2r - 4   Putting it in c*r=160   (2r-4)*r = 160   2r^2 - 4r - 160=0   r cannot be negative so r = 10   and c = 16   So, Answer will be 10
Answer: C
In the first 20 overs of a cricket game, the run rate was only 4.8. What should be the run rate in the remaining 30 overs to reach the target of 302 runs?	Pick one
A) 5  B) 6.25  C) 6.75  D) 6.87  E) 7.25

Solution: Required run rate = 302 - (4.8 x 20)	/30	=	206/30 = 6.87 Option 6.87
Answer: D
Two successive price increase of 10% and 10% of an article are equivalent to a single price increase of:  Answers.
A) 26(2/3) B) 25% C) 21% D) 33(1/3) E) None

Solution: Solution: 100----10%↑--→110---10%↑--→121.   Equivalent price increase = 21%.   Answer: Option 21%
Answer: C
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is
Choose the correct choice
A) 53.33 B) 54.68 C) 55 D) 57 E) None

Solution: Sol.   Required average = [55x50 + 60x55 + 45x60 / 55 + 60 + 45]   = [2750 + 3300 + 2700 / 160]   = 8750 / 160 = 54.68.   Answer 54.68
Answer: B
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?	Choose the correct option:
A) 16 liters B) 18 liters C) 10 liters D) 17 liters E) 15 liters

Solution: Number of liters of water in150 liters of the mixture = 20% of 150 = 20/100 * 150= 
20/100 * 150 = 30
30 liters.   P liters of water added to the mixture to make water 25% of the new mixture.   Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).   (30 + P)= 25/100 * (150 + P)   120 + 4P = 150 + P => P = 10 liters.   Answer: 10 liters
Answer: C
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs.
3200. With the help of C, they completed the work in 3 days. How much is to be paid to C  Options.
A) Rs. 300
B) Rs. 400
C) Rs. 500
D) Rs. 600
E) None of these

Solution: Explanation:   C's 1 day's work =   13−(16+18)=(13−724)=124A:B:C=16:18:124=4:3:1CʹsShare=18   ∗   3200=400   If you are confused how we multiplied 1/8, then please study ratio and proportion chapter, for small   information, it is the C raƟo divided by total ratio.   Answer: Rs. 400
Answer: B
Vehicle A covers a certain distance in 8hrs at the speed of 63kmph. What is the average speed of another vehicle B which travels a distance of 60km more than thecar in the same time?  Options:  A) 40 kmph  B) 50 kmph  C) 55 kmph  D) 60 kmph  E) 70 kmph

Solution: Speed of vehicle A = 58 kmph and   Time taken by Vehicle A = 5 hours   Distance travelled by Vehicle A in 5 hours => Distance= Speed x Time   = 58 x 5 =290   Now distance travelled by vehicle B = 290+60= 
290+60 = 350
350 km   Hence speed of vehicle B= Distance Travelled/Time Taken   =350/5= 
350/5 = 70
70 kmph   70 kmph
Answer: E
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 4 years the amount to be paid is? Answers:
A) 3377
B) 2688
C) 2688
D) 8774
E) 1268

Solution: A = 7500(26/25)^4 = 8774   Answer: 8774
Answer: D
Albert borrowed a total of $ 5800 from Brian and Charlie. He paid simple interest at the rate of 7 % Per yr and 9 % per yr respectively.At the end of three years he paid $ 1400 as total interest. What is the interest paid to Brian at the end of three years? Answers
A) 585  B) 581  C) 441  D) 431  E) 421

Solution: Let x be the amount borrowed form Brian. So amount borrowed form Charlie = 5800-x.   1400 = 21/100x + 27/100(5800-x)   =>x = 16600/6.   Interest paid = 3*7/100*16600/6= 
3*7/100*16600/6 = 581
581.   581
Answer: B
Car X began traveling at an average speed of 35 miles per hour. After 84 minutes, car Y began traveling at an average speed of 42 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped? Choose the correct choice: A) 140 B) 175 C) 210 D) 245 E) 270

Solution: In 84 minutes, car X travels 49 miles.   Car Y gains 7 miles each hour, so it takes 7 hours to catch car X.   In 7 hours, car X travels 245 miles.   The answer is 245.
Answer: D
A can do a job in 8 days and B can do it in 16 days. A and B working together will finish twice the amount of work in ------- days?
Choose the correct answer:
A) 12 1/8 days B) 10 1/3 days C) 14 1/3days D) 2 1/2 days E) 3 1/2 days

Solution: 1/8+ 1/16= 3/16   16/3 = 16/3 *2 = 10 2/3   Answer: 10 1/3 days
Answer: B
Elena’s bread recipe calls for 2 ounces of butter for each 5 cups of flour used. She needs to make 4 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed? Pick:
A) 1  B) 4  C) 9  D) 13  E) 20

Solution: Solving through algebra route:   2B + 5F = x amount   If we multiply this equation with 4 we get:   8B + 20F =4X   Therefore, we got 8 ounces of butter and 4X amount of quantity when we use 20 ounces of floor.   Ans:20
Answer: E
Take a number 'x' and follow these steps :
1. Find the sum of its digit
2. If the sum has only one digit , STOP
3. Else , go back to step 1 with the new number.
If x = 1684 ,what is the end result ?
Choose the correct choice from the following answers.
A) 19	B) 10	C) 1	D) 2	E) None of these

Solution: 1+6+8+4= 
1+6+8+4 = 19
19   sum=19 two digits   so go to step 1   1+9= 
1+9 = 10
10 two digits   so go to step 1   1+0= 
1+0 = 1
1   ANSWER:1
Answer: C
A 6-liter solution is 30% alcohol. How many liters of pure alcohol must be added to produce a solution that is 50% alcohol?	Pick:
A) 1.8	B) 2.1	C) 2.4	D) 2.7	E) 3.0

Solution: Let x be the amount of pure alcohol required.   0.3(6) + x = 0.5(x+6)   0.5x = 3 - 1.8   x = 2.4 liters   The answer is 2.4.
Answer: C
What will come in place of question mark in the following equation ?
54.(?)3 + 543 + 5.43 = 603.26 Choose the correct choice from the following
A) 6  B) 1  C) 9  D) 8  E) 10

Solution: Explanation:   Let x + 543 + 5.43 = 603.26. Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43= 
603.26 - 548.43 = 54.83
54.83   Missing digit= 8   ANSWER IS 8
Answer: D
Mr. Bhaskar is on tour and he has Rs. 360 for his expenses. If he exceeds his tour by 4 days, he must cut down his daily expenses by Rs. 3. for how many days is Mr. Bhaskar on tour?  Choose one.
A) 10 B) 20 C) 30 D) 40 E) 50

Solution: If his tour is for x days and he is spending Rs y per day, then   xy= 360 x= 360/y or y= 360/x   (x+4)*(y-3)=360   or   xy +4y -3x-12 =360   or   4y-3x-12=0   4*360/x - 3x -12=0   solving it, we get x=20   ANSWER:20
Answer: B
A bowl of fruit contains 14 apples and 20 oranges. How many oranges must be removed so that 70% of the pieces of fruit in the bowl will be apples?	Choose the correct choice from the following options:	A) 3	B) 6	C) 14	D) 17	E) 20

Solution: Number of apples = 14   number of oranges = 20   let number of oranges that must be removed so that 70% of pieces of fruit in bowl will be apples = x   Total number of fruits after x oranges are removed = 14+(20-x) = 34-x   14/(34-x) = 7/10   =>20 = 34-x   =>x= 14   Answer 14
Answer: C
The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 15 and 16. The larger of the two numbers is:	Pick one.
A) 338
B) 278
C) 322
D) 368
E) 121

Solution: Clearly, the numbers are (23 * 15) and (23 * 16). Larger number   = (23 * 16)= 
(23 * 16) = 368
368.   Answer: 368
Answer: D
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $460. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $560. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?
Choices:
A) 15
B) 18
C) 21
D) 23
E) 25

Solution: Let X be pair of shoes and Y be pair of boots.   22x+16y = 460 ... eq1   8x +32y = 560....eq 2.   Now multiply eq 1 by 2 and sub eq 2.   44x =920   8x = 560.   36x = 360 => x = 10.   Sub x in eq 2.... we get 80 + 32y = 560... then we get 32y = 480 then y = 25   Differenece between X and Y is 15   15nswer : 15
Answer: A