MU-NLPC/Calc-aqua_rat huggingface dataset:
Two persons start running simultaneously around a circular track of length 520 m from the same point at speeds of 18 kmph and 30 kmph. When will they meet for the first time any where on the track if they
are moving in the opposite direction ?	Choose the correct choice from the following:  A) 144  B) 39  C) 124  D) 32  E) 38

Solution: Time taken to meet the first time = length of track/relative speed   = 520/ (18 +30) (5/18)   = 520/48 *(18/5)= 
520/48 *(18/5) = 39
39 sec.   Answer : 39
Answer: B
If y is an integer, which of the following must also be an integer?
I. x/y
II. y/x
III. xy	Choices
A) I alone	B) II alone	C) III alone	D) I and III	E) None of the above

Solution: Lets take X = 5 and Y = 3   Then XY = 15 which is an integer.   But X/Y = 5/3 --> Not an integer.   Y/X = 3/5 --> Not an integer.   Hence III alone.
Answer: C
A, B, K start from the same place and travel in the same direction at speeds of 30 km/hr, 40 km/hr, 160 km/hr respectively. B starts two hours after A. If B and K overtake A at the same instant, how many hours after A did K start?	Choose the correct choice from the following:  A) 5.0  B) 5.5  C) 6.0  D) 6.5  E) 7.0

Solution: In 2 hours, A travels 60 km.   B can catch A at a rate of 10 km/hr, so B catches A 6 hours after B starts.   So A and B both travel a distance of 240 km.   C needs 1.5 hours to travel 240 km, so C leaves 6.5 hours after A.   The answer is 6.5.
Answer: D
A dishonest dealer professes to sell goods at the cost price but uses a weight of 950 grams per kg, what is his percent?
Answers:  A) 5.3%  B) 25%  C) 65%  D) 45%  E) 35%

Solution: Explanation:   950 --- 50   100 --- ? => 5.3%   5.3%nswer: 5.3%
Answer: A
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.64 at the candy store. What is John’s weekly allowance? Choose the correct answer.
A) $2.40 B) $3.00 C) $3.20 D) $3.60 E) $4.80

Solution: Total allowance=X   Amount spent at the arcade=3/5X   Amount Remaining=2/5X   Amount Spent at the toy store=2/5*1/3X=2/15X   Amount Remaining=2/5X-2/15X=4/15X   Now, 4/15X=$0.64   Therefore, X=$2.40. $2.40nswer $2.40
Answer: A
Mary decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If Mary's savings by the end of the year from these monthly savings were SEVEN times the amount she spent per month, what should be the fraction of her salary that she spent each month? Choose the correct option:  A) 1/4  B) 3/4  C) 10/19  D) 11/19  E) 12/19

Solution: Saving = S, 12/19xpenditure = 12/19, Income = I   At the end of 12months; 12S=712/19=7(I-S)   => 19S = 7I => Savings = 7/19 I   Hence 12/19xpenditure = 1-(7/19) = 12/19   Answer (12/19)
Answer: E
If Tim had lunch at $50.50 and he gave 40% tip, how much did he spend?	Choose the correct choice from the following: A) A)$57.45 B) B)$70.70 C) C)$60.60 D) D)$21.56 E) E)$78.45

Solution: The tip is 40% of what he paid for lunch.   tip = 40% of 50.50 = (40/100)*50.50= 
(40/100)*50.50 = 20.2
$20.20   Total spent     50.50 + 20.20= 
  50.50 + 20.20 = 70.7
$70.70   correct answer is $70.70)$70.70
Answer: B
tipli and pikli are a married couple (dont ask me who he is and who she is)
They have two children, one of the child is a boy. Assume safely that the probability of each gender is 1/2.
What is the probability that the other child is also a boy?
Hint: It is not 1/2 as you would first think. Choose the most appropriate option:
A) 1/9  B) 1/3  C) 3/5  D) 1/8  E) 1/4

Solution: B   1/3   This is a famous question in understanding conditional probability, which simply means that given some information you might be able to get a better estimate.   The following are possible combinations of two children that form a sample space in any earthly family:   Boy - Girl   Girl - Boy   Boy - Boy   Girl - Girl   Since we know one of the children is a boy, we will drop the girl-girl possibility from the sample space.   This leaves only three possibilities, one of which is two boys. Hence the probability is 1/3
Answer: B
A train covers a distance of 12 km in 10 min. If it takes 15 sec to pass a telegraph post, then the length of the train is?  Choose the correct choice from the following choices
A) 250 m B) 300 m C) 120 m D) 200 m E) 166 m

Solution: Speed = (12/10 * 60) km/hr   = (72 * 5/18) m/sec   = 20 m/sec.   Length of the train   = 20 * 15= 
20 * 15 = 300
300 m.   Answer:300 m
Answer: B
Each shelf of a bookcase contained 12 books. If the librarian took out 21 books and rearranged the remaining books so that all shelves but one contained 8 books and the last shelf contained 15 books, how many shelves does the bookcase have?	Choose the correct choice from the following options:
A) 9 B) 4 C) 5 D) 6 E) 7

Solution: Let x be the number of shelves.   No of books in the beginning =12*x   After taking out 21 books No of remaining books = 12x -21   when the remaining books are rearranged, each shelf except the last shelf has 8 books and the last shelf has 11 books. So No of remaining books is also equal to 8*(x-1)+11   12x-21=8(x-1)+15   4x=28   x=7. Answer 7
Answer: E
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?  Answers
A) 10800  B) 648  C) 1800  D) 2700  E) 180

Solution: Let the required number of bottles be x.   More machines, More bottles (Direct Proportion)   More minutes, More bottles (Direct Proportion)   Machines	6: 10 :: 270 : x   Time (in minutes)	1	:	4   6 x 1 x x = 10 x 4 x 270   x =	(10 x 4 x 270)/(6)   x = 1800.   Answer is 1800.
Answer: C
What is the twenty-eighth decimal to the right in the fraction 32/33?  Answers:
A) 1	B) 2	C) 4	D) 6	E) 8

Solution: 32/33= 
32/33 = 32/33 = around 0.969697
0.96969696969696   The even-numbered decimal places are 6.   The answer is 6.
Answer: D
Aamir saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings? Choose the correct choice from the following
A) 15400
B) 14300
C) 13200
D) 12800
E) None of these

Solution: Let the monthly salary of Aamir be Rs. x.   68% of x = 27200   => x = (27200 * 100)/68= 
(27200 * 100)/68 = 40_000
40000   His savings= 32/100 * 40000= 
32/100 * 40000 = 12_800
12800.   ANSWER:12800
Answer: D
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?  Choose the correct choice from the following:  A) 247 m  B) 275 m  C) 245 m  D) 285 m  E) 345 m

Solution: Speed = 45 * 5/18 = 25/2 m/sec.   Time = 30 sec   Let the length of bridge be x meters.   Then, (130 + x)/30 = 25/2   x = 245 m.   Answer: 245 m
Answer: C
what is rate of interest if principal.amount be 400,simple interest 180 and time 2year.	Choose the correct choice from the following
A) 10 B) 12.5 C) 25 D) 22.5 E) 14.5

Solution: s.i=(p*r*t)/100   180=800r/100   r=180/8= 
180/8 = 45/2 = around 22.5
22.5%   answer 22.5
Answer: D
If a population of women in a town is 90% of men . What is the population of men as a % of population of women ? Choose the correct choice from the following answers.
A) 108 % B) 105% C) 111% D) 112% E) 114%

Solution: We're told that the number of Women in a town is equal to 90% of the number of Men in that town.   IF....   Men = 10   Women = 9   We're asked for the number of Men, as a percentage of the number of Women.   M/W = 10/9 = 1 1/9 = 1.111111 = 111%   ANSWER:111%
Answer: C
A clock shows the time as 3:30 P.m. If the minute hand gains 2 minutes every hour, how many minutes will the clock gain by 3 a.m.?
Choose the correct choice from the following:
A) 23 Minutes B) 24 Minutes C) 25 Minutes D) 26 Minutes E) None of these

Solution: if the minute hand gains 2 minutes in 1 hour the from 3:30 p.m-4:00 p.m it gains 1 min   then from 4:00p.m-3:00 a.m =11*2= 
11*2 = 22
22 total=23   23 MinutesNSWER:23 Minutes
Answer: A
$200 is divided amongst A,B and C so that A may get 2/3 as much as B and C together, B may get 6/9 as much as A and C together, then the share of A is  Answers.
A) $80	B) $50	C) $25	D) $200	E) $50

Solution: $80:(B+C) = 2:3   $80's share = 200*2/5= 
200*2/5 = 80
$80   $80nswer is $80
Answer: A
Find the C.I. on a sum of Rs.2000 for 6 months at 20% per annum, interest being compounded quarterly?
Choose the correct choice from the following.
A) 205
B) 305
C) 3025
D) 5540
E) 315

Solution: C.I.= 2000(21/20)^2-1800   = 205   205nswer: 205
Answer: A
If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 58 wheels are parked there	Pick
A) 10
B) 33
C) 22
D) 21
E) 20

Solution: let 2x be the number of cycles(2 wheelers) and 4x be the number of 4 wheelers.   2x+4y=58   make use of options given. compute options with y value since we need to find out numb of 4 wheelers...if we give 10 to y then equation becomes 2x+40=58 n 9 two wheelers..other options exceeds the total value   10NSWER:10
Answer: A
If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage. Select:
A) 40%
B) 55%
C) 35%
D) 30%
E) 50%

Solution: If printed price is Rs 100,   sp after 25 % discount = Rs 75.   Then cp for 25 % profit = Rs 60.   If discount on Rs 100 is now 10%, then sp = Rs 90.   Profit on cp of Rs 60 = Rs 30   % age profit =50%   ANSW50%R:50%
Answer: E
A shopkeeper loses 15%,if an article is sold for Rs. 170. What should be the selling price of the article to gain 20%? Choose the correct choice from the following options:
A) s.247  B) s.248  C) s.240  D) s.229  E) s.212

Solution: Given that SP = Rs. 170 and loss = 15%   CP = [100(SP)]/(100 - l%) = (100 * 170)/85 = 20 * 6   = Rs. 200.   To get 20% profit, New SP = [(100 + p%)s.240P]/100   = (200 * 120)/100   = Rs.240   Answer:s.240
Answer: C
Machine A can do a certain job in 8 hours. Machine B can do the same job in 10 hours. Machine C can do the same job in 12 hours. All three machines start the job at 9:00 a.m. Machine A breaks down at 11:00 a.m., and the other two machines finish the job. Approximately what W time will the job be finished?
Choices.
A) Noon B) 12:30 p.m. C) 1:00 p.m. D) 1:30 p.m. E) 2:00 p.m.

Solution: Ans: C (1:00pm)   From 9:00-11:00c(2 hrs)   A can do 1/8 Job/hr. so in 2 hours he can do 1/4 job.   B can do 1/10 job/hr so in 2 hrs. he can do 1/5 Job.   C can do 1/12 job/hr so in 2 hours he can do 1/6 job.   Total = 1/4+1/5+1/6 = 37/60 Job   Now balance work needs to be done by B and C.   Balance Work= 23/60 Job   Combined rate of B and C = 1/10+1/12 = 11/60 job/hr.   So they will do 22/60 work in 2 hrs (approx. to the balance work of 23/60)   Hence the Job will be completed 2hrs. after 11:00 i.e. @ 1:00pm=W   Ans: 1:00 p.m. (1:00pm)
Answer: C
To furnish a room in a model home an interior decorator is to select 2 chairs and 2 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 150 different combinations are possible, how many tables t are there in the warehouse?	Choose the most appropriate option:
A) 6
B) 8
C) 10
D) 15
E) 30

Solution: Total number of ways to choose 2 chairs from 5 t= 5C2=10   Total number of combination=150   That means we need get 15 combinations from the selection of tables....   Screening through the answers.... 6C2=15..... 15*10=150   Answer is 6... 6
Answer: A
0.012 x 0.5 = ?
Choose the most appropriate option.
A) 0.0006	B) 0.06	C) 0.6	D) 0.006	E) 6.0

Solution: 12 x 5 = 60.   Sum of decimal places = 4   0.012 x 0.5 = 0.006   Answer: Option 0.006
Answer: D
If y is the smallest positive integer such that 7350 multiplied by y is the square of an integer, then y must be	Choose the correct choice from the following options:
A) 2
B) 5
C) 6
D) 7
E) 14

Solution: i just tried plugging in the numbers and found out that   6*7350 = 44, 100, which is a square of 210   6
Answer: C
There are 24 different four-digit integers than can be formed using the digits 2, 3, 4 and 5 exactly once in each integer. The addition problem above shows 4 such integers. What is the sum of all 24 such integers?
Choose the correct choice from the following choices.
A) 24,444
B) 28,000
C) 84,844
D) 90,024
E) 93,324

Solution: Fast Solution:   First stage: we will look at the numbers that contain only 1 digit and the rest is zeros, e.g.: 5000,0200 (=200) ,0040 (=40)   - Let's look at the thousand digit:   * We have: 4 options 5000,4000,3000,2000 = (5+4+3+2)*1000= 14*1000   * We will use each option 3! times (because _X_,__,__,__ - you have 3! options to place the rest 3 numbers)   * that means that the total is :14*1000*3!   - We can do the same for the hundreds digit, tens digits and ones.   Second stage: We will sum every number   14*3!*1000 +   14*3!*100 +   14*3!*10 +   14*3!*1   -------------------   14*3!*1111 -> 14*6*1111=93,324   Backsolving and Picking Numbers aren’t feasible here, so we’ll have to use some (not-so) Straightforward Math. Consider the column on the right-hand side, representing the ones digit of each integer. There are 24 integers and 4 different digits, so each of the 4 digits must appear 6 times in the ones column. Thus, the sum of the ones place for the 24 integers is (6 × 2) + (6 × 3) + (6 × 4) + (6 × 5), or 6 × 14 = 84. Now we know that the correct choice must end with a 4, so eliminate choice (B).   The same pattern holds for the tens column EXCEPT that we have to add8to represent the amount carried over from the 84 in the ones column. So, the tens column must add up to   84 + 8= 
  84 + 8 = 92
92. Now we see that we must have a 2 in the tens place, so eliminate choices (A) and (C).   For the hundreds place, the sum will be 84 + the 9 carried over from the 92 in the tens column; 84 + 9= 
84 + 9 = 93
93, so we must have a 3 in the hundreds place. Answer Choice (E) is the only possibility.   Alternatively, if the ones column adds up to 84, the tens column will be the same thing multiplied by 10, or 840. Similarly, the hundreds column will be 8,400 and the thousands column will be 84,000. Adding up these four numbers, we get 84 + 840 + 8,400 + 84,000= 93,324.answer is 93,324
Answer: E
Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 40 films, and broke even on none of them, how many of their films were profitable?
Options:
A) 18 B) 19 C) 20 D) 21 E) 22

Solution: Let me offer another solution:   Out of 40 films 60% were comedies and the rest, so 40%, were horror films --> comedies=40*60%=24 and horrors=16;   75% of the comedies were profitable --> profitable comedies=24*75%=18;   75% of the horror moves were unprofitable, so 25% of the horror movies were profitable --> profitable horrors=16*25%=4;   Total profitable movies = 18+4= 
18+4 = 22
22.   Answer: 22.
Answer: E
Numbers greater than 1000 but not greater than 4000 which can be formed with the digits 0, 1, 2, 3, 4 (repetition of digits is allowed), are.  Pick one:	A) 350	B) 375	C) 450	D) 576	E) None

Solution: Explanation :   Numbers greater than 1000 and less than or equal to 4000 will be of 4 digits and will have either 1 (except 1000) or 2 or 3 in the first place with 0 in each of remaining places.   After fixing 1st place, the second place can be filled by any of the 5 numbers. Similarly third place can be filled up in 5 ways and 4th place can be filled up in 5 ways. Thus there will be ways in which 1 will be in first place but this include 1000 also hence there will be 124 numbers having 1 in the first pl   Answer : 375
Answer: B
A small pool filled only with water will require an additional 500 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 500 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?
Choices:
A) 1000
B) 1250
C) 1300
D) 1600
E) 1875

Solution: Since pumping in additional 500 gallons of water will increase the amount of water in the pool by 30%, then initially the pool is filled with 1,000 gallons of water.   So, we have that 1,000 + 500 = 0.8*{total} --> {total} = 1,875   Answer: 1875.
Answer: E
Avg cost of 2 biscuitss and 4 choclates isRs. 60.The avg cost of 4 biscuitss and 6 choclates is Rs.100.Find the total cost of 20 biscuitss and 20 choclates? Choose the correct choice from the following answers
A) 90	B) 180	C) 150	D) 200	E) 110

Solution: Avg cost of 2 biscuitss and 4 choclates is Rs. 60   (2 biscuits + 4 choclates) 6=60   therefore 1 biscuits cost is 60/6= 
60/6 = 10
10, so 2 biscuits cost is 2x10=20 and 4 choclates cost is 4x10=40   Again, avg cost of 4 biscuitss and 6 choclates is Rs.100   (4 biscuits + 6 choclates) 10=100   therefore 1 biscuits cost is 100/10= 
100/10 = 10
10, so 4 biscuits cost is 4x10=40 and 6 choclates cost is 6x10=60   So 20 biscuits cost is (20/a)=200 and 20 choclates cost is (20x10)=200   ANSWER:200
Answer: D
The difference between C.I. and S.I. on an amount of $20,000 for 2 years is $98. What is the rate of interest per annum? Choose the correct choice from the following answers:
A) 9% B) 8% C) 7% D) 6% E) 5%

Solution: $98 is the interest on the first year of interest.   Let x be the interest rate.   The interest after the first year is 20000*x.   The interest on the first year's interest is 20000*x*x   20000*x^2 = 98   x = 0.07   The answer is 7%.
Answer: C
Simplify: 32 ÷ 8 × 24 + 16 =
Answers:  A) 130  B) 124  C) 120  D) 115  E) 112

Solution: 32 ÷ 8   ×   × 24 + 16 => 4   ×   × 24 + 16 = 96 + 16= 
96 + 16 = 112
112   Option 112
Answer: E
Two trains 131 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choose the correct choice: A) 7.18 B) 7.12 C) 7.21 D) 7.34 E) 7.51

Solution: T = (131 + 165)/ (80 + 65) * 18/5   T = 7.34   Answer:7.34
Answer: D
A train is 410 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?  Choose the correct choice from the following choices
A) 76 seconds
B) 18 seconds
C) 40 seconds
D) 19 seconds
E) 44 seconds

Solution: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec   Total distance = 410+140= 
410+140 = 550
550 meter   Time= Distance/speed   = 550 * (2/25)= 
550 * (2/25) = 44
44 seconds   Answer: 44 seconds
Answer: E
For 15 people each has to pay Rs.20.For 20 people each has to pay Rs.18. For 40 people--how much has each to pay?
Pick one:  A) 5  B) 10  C) 15  D) 20  E) 25

Solution: 15-->20   20-->18   25-->16   30-->14   35-->12   40-->10   ANSWER:10
Answer: B
The number of meters in EB is equal to the square root of the number of centimeters in EB. What is the length of EB (1 meter=100 centimeters)?
Choose the correct answer:	A) 100 meters	B) 10 meters	C) 100 centimeters	D) 10 centimeter	E) 1 centimeter

Solution: I'd plug in the options for this question.   Check option A: if the number of meters in EB is 100, then the number of centimeters is 100*100. The square root of 100*100 is 100: 100 = 100.   100 metersnswer: 100 meters.
Answer: A
A business executive and his client are charging their dinner tab on the executive's expense account.The company will only allow them to spend a total of 50$ for the meal.Assuming that they will pay 7% in sales tax for the meal and leave a 20% tip,what is the most their food can cost?	Pick.
A) 39.55$	B) 40.63$	C) 38.63$	D) 37.88$	E) 35.15$

Solution: let x is the cost of the food   1.07x is the gross bill after including sales tax   1.20* 1.07x=50   x=37.88   Hence, the correct option is 38.63$
Answer: C
A train 400 m long can cross an electric pole in 10 sec and then find the speed of the train?  Pick one
A) 165 Kmph  B) 144 Kmph  C) 172 Kmph  D) 175 Kmph  E) 178 Kmph

Solution: Length = Speed * time   Speed = L/T   S = 400/10= 
400/10 = 40
40 M/Sec   Speed= 40*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 144 Kmph   ANSWER:144 Kmph
Answer: B
In 1982 and 1983, Company B’s operating expenses were $12.0 million and $15.0 million, respectively, and its revenues were $15.6 million and $18.8 million, respectively. What was the percent increase in Company B’s profit (revenues minus operating expenses) from 1982 to 1983 ?	Select.
A) 3%  B) 5 5/9%  C) 25%  D) 33 1/3%  E) 60%

Solution: Profit in 1982 = 15.6 - 12= 
15.6 - 12 = 3.6
3.6 million $   Profit in 1983= 18.8 - 15= 
18.8 - 15 = 3.8
3.8 million $   Percentage increase in profit= (3.8-3.6)/3.6 * 100 %   = 5 5/9 %   Answer 5 5/9%
Answer: B
A start walking from a place at a uniform speed of 5 kmph in a particular direction. After half an hour, B starts from the same place and walks in the same direction as A at a uniform speed and overtakes A after 1 hour 48 minutes. Find the speed of B.	Pick one.
A) 4.7 kmph	B) 5.6 kmph	C) 4 kmph	D) 7 kmph	E) 5.3 kmph

Solution: Distance covered by A in 30 min = 1 Km   B covers extra 1km in 1 hour 48 minutes (9/5 hr)   i.e. Relative speed of 5.6 kmph over A = 1/(9/5) = 5/9   So the speed of 5.6 kmph = Speed of A + 5/9   = 5 + 5/9   = 5.55   Answer 5.6 kmph
Answer: B
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is Select the correct option:  A) 87.5 km/h  B) 66.5 km/h  C) 42.5 km/h  D) 32.5 km/h  E) 61.5 km/h

Solution: 87.5 km/h   87.5 km/h
Answer: A
what is the total number of factor of 16! Pick one
A) 4376  B) 5376  C) 6376  D) 7376  E) 8376

Solution: 16! = 2^15 * 3^6 * 5^3 * 7^2 * 11^1 * 13^1   total number of factors = (15+1)*(6+1)*(3+1)*(2+1)*(1+1)*(1+1)= 
(15+1)*(6+1)*(3+1)*(2+1)*(1+1)*(1+1) = 5_376
5376   ANSWER:5376
Answer: B
123 typists typeed 984 papers in 1/15 hour. The number of papers typed for minute by a average typist is	Choose the correct choice from the following answers
A) 7 B) 2 C) 4 D) 5 E) 9

Solution: Explanation:   Use unitary method:   {1}{15} hours, 123 typists can type 984 paper   123 typists can type e \frac{984}{4} = 246 papers   1 typist can typefrac{246}{123} =2 papers [ Hint{1}{15} hours = 4 minutes]   Answer: 2
Answer: B
A project scheduled to be carried out over a single fiscal year has a budget of $12,600, divided into12 equal monthly allocations. At the end of the sixth month of that fiscal year, the total amount actually spent on the project was $6,580. By how much was the project over its budget?  Choose the correct choice from the following answers.
A) $380
B) $540
C) $280
D) $1,380
E) $1,430

Solution: Difficulty level: 600   Each month's budget = 12600/12= 
12600/12 = 1_050
1050   Budget for 6 months= 6*1050= 
6*1050 = 6_300
6300   Actual amount spent= 6580   Amount spent over the budget = 6580 - 6300= 
6580 - 6300 = 280
280   Answer ($280),   Regards,
Answer: C
If a 10 percent deposit that has been paid toward the purchase of a certain product is $110, how much more remains to be paid? Choices.
A) $880
B) $990
C) $1,000
D) $1,100
E) $1,210

Solution: 10/100P = 110 >> p= 110*100/10= 
110*100/10 = 1_100
1100   1100 - 110= 
1100 - 110 = 990
990   ANSWER:$990
Answer: B
Mother,her daughter and her grand child weighs 160 kg. daughter and her daughter(child) weighs 60 kg. child is 1/5th of her grand mother. What is the age of the daughter? Select the correct option.
A) 46	B) 47	C) 48	D) 49	E) 40

Solution: mother + daughter + child = 160kg   daughter + child = 60kg   mother = 160 - 60= 
160 - 60 = 100
100kg   child= 1/5th of mother = (1/5)*100= 
(1/5)*100 = 20
20kg   So now daughter= 120 -(mother + child) = 160 - (100+20)= 
160 - (100+20) = 40
40kg   ANSW40R:40
Answer: E
An alloy weighing 18 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 90 percent gold?
Choose the correct choice from the following answers:	A) 6	B) 90	C) 12	D) 24	E) 48

Solution: In 24 ounces, gold is 18 * (70/100)= 
18 * (70/100) = 63/5 = around 12.6
12.6 ounces. Now we add x ounces of pure gold to make it 90% gold.   So 12.6 + x= (24 + x)* 90/100 => x =90.   Answer is 90.
Answer: B