MU-NLPC/Calc-aqua_rat huggingface dataset:
X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?	Choices:	A) 1:2	B) 2:1	C) 1:3	D) 3:1	E) 4:2

Solution: Explanation:   Ratio in which they should share the profit   = Ratio of the investments multiplied by the time period   =45000Ã—12:30000Ã—9=45Ã—12:30Ã—9=3Ã—12:2Ã—9=2:1   ANSWER IS 2:1
Answer: B
In how many ways can three boys can be seated on five chairs?
Choose one:
A) 30
B) 40
C) 60
D) 80
E) 90

Solution: There are three boys.   The first boy can sit in any of the five chairs (5 ways).   5   Now there are 4 chairs remaining. The second boy can sit in any of the four chairs (4 ways).   5 4   Now there are 3 chairs remaining. The third boy can sit in any of the three chairs (3 ways).   5 4 3   Hence, total number of ways in which 3 boys can be seated on 5 chairs   =5×4×3=60   ANSWER 60 60
Answer: C
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 600 resolutions?
Choose the most appropriate option: A) 844.8 m B) 704 m C) 774 m D) 714 m E) 744 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 600 resolutions.   = 600 * 2 * 22/7 * 22.4= 
600 * 2 * 22/7 * 22.4 = 84_480
84480 cm= 844.8 m   844.8 mnswer:844.8 m
Answer: A
We have a 630 ml of mixture of milk and water in the ratio 7:2. How much water must be added to
make the ratio 7:3?	Options:
A) 70 ml
B) 60 ml
C) 80 ml
D) 50 ml
E) None of these

Solution: Explanation :   concentration of water in mixture1 = 2/9 (Since the ratio of milk and water = 7:2) ---item(1)   concentration of water in pure water= 1 ---item(2)   Now the above mentioned items are mixed to form a mixture2 where milk and water ratio = 7: 3   =>concentration of water in mixture2 = 3/10   By the rule of alligation, we have   concentration of water   in mixture1 : 2/9 concentration of water   in pure water : 1   Mean concentration   3/10   1 - 3/10 = 7/10 3/10 - 2/9 = 7/90   => Quantity of mixture1 : Quantity of water = 7/10 : 7/90 = 1/10 : 1/90 = 1 : 1/9   Given that Quantity of mixture1 = 630 ml   => 630 : Quantity of water = 1 : 1/9   ⇒Quantity of water = 630×19=70 ml   70 mlnswer : Option 70 ml
Answer: A
When the integer y is divided by 12, the remainder is 3. Which of the following, when divided by 12, will have a remainder of 6 ?
I. 2y
II. 6y
III. 4y + 6	Choose the correct choice from the following answers
A) I only
B) II only
C) III only
D) I and II only
E) I, II, and III

Solution: is it E.   y = 12*a + 3   2y = 12*2*a + 6   6y = 12*6*a + 18 ( 18 = 12+6)   4y + 6 = 12*4*a + 18 (18 = 12 + 6)
Answer: E
How many 5 letter words ( with or without meaning) can be formed using all the following 5 letters P,Q,R,V,and T so that letter P is to the left of letter R?
Pick one
A) 90
B) 60
C) 120
D) 144
E) 160

Solution: Two positions can be selected out of 5 positions in 5C2 ways = 10 ways.   And the remaining 3 letters can be placed in 3 posions in 3! Ways = 6 ways.   So the final Answer = number of ways letters P and R can be arranged x number   of ways the other 3 letters can be arranged   Final Answer = 10 x 6 = 60 ways   60
Answer: B
If s and t are positive integers such that s/t = 17.14, which of the following could be the remainder when s is divided by t ?  Pick one.
A) 20	B) 45	C) 49	D) 23	E) 45

Solution: s/t= 17.14   s = 17.14t   s = (17 + 0.14)t   s = 17t + (14/100)t   s = 17t + (7/50)t   So remainder will be multiple of 7. The only multiple of 7 is 49.   Ans. 49
Answer: C
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 24 sec. What is the length of the platform?  Answers:
A) 389 m
B) 350 m
C) 187.5 m
D) 299 m
E) 219.5 m

Solution: Speed = 300/24 = 25/2 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/39 = 25/2   => x = 187.5 m.   Answer:187.5 m
Answer: C
How much interest will $8,000 earn in 9 months at an annual rate of 6%?  Answers
A) $250  B) $350  C) $360  D) $550  E) $650

Solution: Soln:-   9 months = 3/4 of year;   6% = 6/100=3/50;   $8,000(principal)*3/50(interest rate)*3/4(time)=$360.   ANSWER:$360
Answer: C
Today is Monday. After 61 days, it will be:
Choices
A) Wednesday
B) Saturday
C) Tuesday
D) Thursday
E) Friday

Solution: Each day of the week is repeated after 7 days.   So, after 63 days, it will be Monday.   After 61 days, it will be Saturday.   Answer: Option Saturday
Answer: B
Line k is in the rectangular coordinate system. If the c-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k?	Choose the correct choice from the following answers
A) -3c + 2y = 6 B) 3c + 2y = -6 C) 3c - 2y = 6 D) 2c - 3y = 6 E) -2c - 3y = 6

Solution: This question can be solved in much simpler way.   To find the c intercept   Put y=0 in the equation of the line.   To find the y-intercept   Put c=0 in the equation of the line.   So   Sub c=0 in the answer choices check whether you are getting y=3.   A. -3c + 2y = 6 --- y = 3   B. 3c+ 2y = -6 --- y = -3   C. 3c - 2y = 6 ----- y = -3   D. 2c - 3y = 6 --- y = -2   E. -2c - 3y = 6 --- y =-2   Eliminate answer B,C,D and E.   So the answer is -3c + 2y = 6.
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 12%, then the cost price of the article is: Choose the correct choice from the following answers:
A) Rs. 500
B) Rs. 515
C) Rs. 550
D) Rs. 600
E) Rs. 700

Solution: 110% of S.P. = 616   S.P. = (616 * 100)/110 = Rs. 560   C.P = (110 * 560)/112 = Rs. 500   Rs. 500NSWER:Rs. 500
Answer: A
In an election between two candidates, one got 60% of the total valid votes, 30% of the votes were invalid. If the total number of votes was 9000, the number of valid votes that the other candidate got, was:	Options
A) 2500	B) 2520	C) 3000	D) 3100	E) None of these

Solution: Explanation :   Number of valid votes = 70% of 9000   = 6300.   Valid votes polled by other candidates = 40% of 6300   (40/1006300)   = 2520.   Harsh Mishra a year ago   0 upvotes   Answer : 2520
Answer: B
Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is? Choose the correct choice from the following options
A) 12
B) 687
C) 26
D) 96
E) 12

Solution: I II III   120 125 100   125----------120   100-----------? => 96%   Answer:26
Answer: C
A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 50 paise per sq. metre
Options:	A) s425	B) s780	C) s880	D) s480	E) s980

Solution: area of the plot=110m*65m=7150sq.m   area of plot excluding gravel110 *65= 
110 *65 = 7_150
7150sq.m   area of plot excluding gravel=105m*60m=6300sq.m   area of gravel 105 *60= 
105 *60 = 6_300
6300sq.m   area of gravel=7150sq.m-6300sq.m =850sq.m   cost of building it = 850sq.m*50   = 42500p   in Rs =42500/100= 
42500/100 = 425
Rs425   s425NSWER:s425
Answer: A
An article is bought for Rs.685 and sold for Rs.900, find the gain percent? Choose one
A) 33 1/8%	B) 33 8/3%	C) 33 1/3%	D) 31 12/31%	E) 32 1/3%

Solution: 685 ---- 215   100 ---- ? => 31 12/31%   Answer: 31 12/31%
Answer: D
1/0.04 is equal to
Choose the correct choice:  A) 25.5  B) 2.5  C) 25  D) .25  E) None of these

Solution: Explanation:   1/0.04 = (1 * 100)/4 = 100/4= 
100/4 = 25
25   Option 25
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 ?
Choose the correct choice from the following
A) 226
B) 523
C) 775
D) 890
E) 270

Solution: E   270   Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 15   5x = 1350   x = 270   Smaller number = 270.
Answer: E
All of the students of Music High School are in the band, the orchestra, or both. 70 percent of the students are in only one group. There are 111 students in the band. If 30 percent of the students are in the band only, how many students are in the orchestra only?
Pick one.
A) 84  B) 69  C) 78  D) 81  E) 74

Solution: % of students in one group only = 70%   % of students in both groups = 100 - 70= 
100 - 70 = 30
30%   % of students in the band only= 30%   Number of students who are in band = 111   30% + 30% = 60% 30  + 30= 
30  + 30 = 60
60%= 111 Students   Finding total students:   x = (111 x 100)/60   x = 185   Students in orchestra only = 185 - 111= 
185 - 111 = 74
74   Answer:74
Answer: E
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother seven years younger to her was born. What is the difference between the ages of her parents? Choose the most appropriate option:
A) 2 years  B) 4 years  C) 6 years  D) 7 years  E) 9 years

Solution: Mother's age when Ayesha's brother was born = 36 years.   Father's age when Ayesha's brother was born = (38 + 7)= 
(38 + 7) = 45
45 years.   Required difference= (45 - 36)= 
(45 - 36) = 9
9 years.   Answer: Option 9 years
Answer: E
In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
Choose the correct choice from the following options:
A) 3800
B) 4800
C) 5100
D) 5300
E) 5400

Solution: 100x + 400 = 12(x – 5)   x = 50   100 * 50 + 400= 
100 * 50 + 400 = 5_400
5400   5400)
Answer: E
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 800 more than D, what is B's share? Choose the correct choice from the following.
A) Rs. 1600 B) Rs. 1500 C) Rs. 2000 D) Rs. 2500 E) none of the above

Solution: Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.   Then, 4x - 3x = 800   x = 800.   B's share = Rs. 2x = Rs. (2 x 800) = Rs. 1600.   Rs. 1600nswer = Rs. 1600
Answer: A
A radio station has to choose two days of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any two of the seven weekdays can be chosen. How many different two-day combinations of the seven weekdays can be constructed?  Choose one.
A) 9	B) 15	C) 21	D) 35	E) 56

Solution: Pick 2 days out of 7.. 7212 = 21   Answer : 21
Answer: C
How many positive integers H less than 10,000 are such that the product of their digits is 210?	Pick one: A) 24 B) 30 C) 48 D) 54 E) 72

Solution: 210 is the answer when 2, 3, 5 and 7 are multiplied. 210 can also be arrive using 5,6 and 7 and 1, 5, 6 and 7.   So sum of arrangements of 2357, 567 and 1567. This translates to 4! +3! + 4!, this equals to  24 + 6 + 24= 
 24 + 6 + 24 = 54
54, 54 is the answer.
Answer: D
A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 45 percent of the pack would be outfielder cards?  Pick
A) 4 B) 5 C) 6 D) 7 E) 8

Solution: let the number of O card to be removed=X   then remaning cards=12-X   now this 12-X cards should count less than 45% of toatal Ocards   12-X<.45*12   X<12-5.4   X<6.6   X=6   Ans 6
Answer: C
If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between  Pick one.
A) 0 and 3/20	B) 3/9 and 1/2	C) 1/5 and 1/4	D) 1/4 and 3/10	E) 3/10 and 1/2

Solution: E. 3/9 and 1/2   Definitely not. I am always happy to explain a given question or issue if I can. However, I sometime donot put my explanation if I am answering first because I want to put others first for their explanation.   Now you have excellent explanantion byscthakur. In fact the question is asking the likelyness of or high chances/probability of having a given number. Hope you already got it. 3/9 and 1/2
Answer: B
A person buys an article at $600. At what price should he sell the article so as to make a profit of 8%? Select the correct option
A) 670
B) 689
C) 648
D) 740
E) 889

Solution: 648   648   648ost price = $600   profit = 8% of 600 = $48   Selling price = 648ost price + Profit   = 600 + 48= 
600 + 48 = 648
648
Answer: C
A truck covers a distance of 550 metres in 1 minute whereas a train covers a distance of 33 kms in 45 minutes. What is the ratio of their speed? Options.
A) 3 : 7	B) 4 : 7	C) 1 : 4	D) 3 : 4	E) 2 : 5

Solution: Explanation:   Speed of the truck = 3 : 4istance/Time=550/1= 
550/1 = 550
550 meters/minute   Speed of the train= 3 : 4istance/Time=33/45 km/minute = 33000/45 meters/minut   Speed of the truck/Speed of the train = 550/(33000/45) = (550 × 45)/33000 = (55 × 45)/3300   = (11 × 45)/660 = (11×9)/132 = 9/12 = 34   Hence, Speed of the truck : Speed of the train = 3 : 4   Answer: Option 3 : 4
Answer: D
How much time does a train 150 metres long running at 90 km/hr take to pass a pole?	Choose the correct choice
A) 7.9s B) 6s C) 7.5s D) 7.6s E) 7.4s

Solution: Explanation:   90 km/hr = 90 * 5/18= 
90 * 5/18 = 25
25 m/s   Speed= distance/time; v = d/t   25 = 150/t   t = 6s   ANSWER: 6s
Answer: B
Find the compound interest and the amount on Rs.4000 at 5% per annum for 3 years when C.I is reckoned yearly? Pick one
A) s.261.50	B) s.440.50	C) s.630.50	D) s.346.50	E) s.446.50

Solution: A = 4000(21/20)3   = 4630.50   = 4000   ---------   630.50   ANSWER:s.630.50
Answer: C
Karthikeyan arranged a party to celebrate his birth day.20 of his close friends were invited. One friend left before the cake was cut due to an urgent phone call.The big cake was drawing the attention of the party visitors. This cake is to be divided among friends and of course Karthikeyan will get his share. A man eats 3 pieces, a woman eats two pieces and a child eats half a piece of cake. Including Karthikeyan count the number of men,women and children in the party. There are 20 pieces of cake in all.  Choose the correct answer:	A) 6 women, 2 men and 12 children	B) 7 women, 1 men and 12 children	C) 5 women, 1 men and 14 children	D) 4 women, 2 men and 14 children	E) None of these

Solution: Let the number of men be m, number of women be w and number of children be c   Total number of pieces = Pieces ate by men + Pieces ate by women + Pieces ate by children   There are 20 total pieces. Also a man eats 3 pieces, a woman eats 2 and children half. Therefore above equation becomes.   20 = 3m + 2w + 1/2c   In the above equation, you have to substitute the values given in options to find which one satisfies the equation.   Option c with m = 1, c = 14 and w = 5 perfectly satisfies the equation as follows   20 = 3(1) + 2(5) + (1/2)(14)   20 = 20 i,e our equation is satisfied perfectly by option c   ANSWER:5 women, 1 men and 14 children
Answer: C
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
Select the correct option.
A) 1677
B) 1683
C) 2523
D) 3363
E) 4352

Solution: Explanation :   L.C.M. of 5, 6, 7, 8 = 840.   Required number is of the form 840k + 3   Least value of k for which (840k + 3) is divisible by 9 is k = 2.   Required number = (840 x 2 + 3) = 1683.   ANSWER IS 1683
Answer: B
Toby is four years younger than Debby. Thrice the sum of the ages of Toby and Debby equals their mother’s age. If the age of the mother is 60, find the ages of Toby and Debby?  Select the correct option: A) 8 and 12 B) 5 and 9 C) 6 and 10 D) 5 and 10 E) 12 and 16

Solution: Let the age of Debby be x and Toby be x-4   3 ( x + x-4 ) = 60   x = 12   The ages of Toby and Debby are 8 and 12.   8 and 12nswer : 8 and 12
Answer: A
In the youth summer village there are 100 people, 50 of them are not working,25 of them have families and 75 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower?	Choose the correct choice from the following:
A) 100 B) 75 C) 25 D) 50 E) 125

Solution: total =100   not working =50   having family=25   like to sing in shower = 75   working=100-50= 
100-50 = 50
50   not having family= 100-25= 
100-25 = 75
75   like to sing in shower= 75   largest possible number is the lowest possible among the above   Thus 50   50
Answer: D
An employee’s annual salary was increased $5,000. If her new annual salary now equals $70,000, what was the percent increase?	Choose the correct choice from the following answers: A) 15% B) 0.77% C) 20% D) 22% E) 24%

Solution: New annual salary = $70,000   Salary increase = $5,000.   Original salary = $70,000 - $5,000.   = $65,000   %Increase = ($5,000/ $65,000 )*100   =0.77%   Hence 0.77%.
Answer: B
Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'? Pick
A) 4
B) 5
C) 6
D) 8
E) 7

Solution: If Vijay gives 'x' marbles to Ajay then Vijay and Ajay would have V - x and A + x marbles.   V - x = A + x --- (1)   If Ajay gives 2x marbles to Vijay then Ajay and Vijay would have A - 2x and V + 2x marbles.   V + 2x - (A - 2x) = 30 => V - A + 4x = 30 --- (2)   From (1) we have V - A = 2x   Substituting V - A = 2x in (2)   6x = 30 => x = 5.   ANSWER:5
Answer: B
Sum of two consecutive even terms lacks by 98 from their product. Find the sum of these numbers? Answers:
A) 18
B) 24
C) 32
D) 36
E) None

Solution: x(x + 2) – (x + x + 2) = 98   ANSWNoneR:None
Answer: E
If $3000 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?	Select the correct option
A) 3000 (1.056)^3  B) 3000 (3+1.056)  C) 3000 (1+3(0.056))  D) 3000 (1+(0.056)^3)  E) 3000 (1.056)(3)

Solution: the formula is CI=P(1+r/100)^t   in this case i think 3000 (1.056)^3 is the ans
Answer: A
Working alone, machine X can manufacture 1,000 nails in 12 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 800 nails working alone?
Choose the correct choice:	A) 6 6/7	B) 7 1/3	C) 7	D) 8 1/5	E) 9 4/7

Solution: rate of machine x = 1000/12   (1000/12 + y)5=1000   y=350/3   350/3 * t = 800   t=6 6/7   6 6/7.
Answer: A
Four packages have an average weight of 12.5 pounds. What is the minimum possible weight of the heaviest package in pounds if the median is 8 pounds?
Choose the correct choice from the following options.
A) 18 B) 20 C) 22 D) 24 E) 26

Solution: Let us denote the weights of the packages in pounds by a, b, c, d naming from the lightest one to the heaviest one. The median is 8 pounds. Therefore (b + c) / 2 = 8.   b + c = 16   The average is 12.5 pounds. Therefore (a + b + c + d) / 4 = 12.5.   a + (b + c) + d = 50   a + 16 + d = 50   a + d = 34   The weight a must be no greater than 8, since 8 is the median. Therefore the minimum possible weight of the heaviest package is 34 – 8 = 26 pounds (all the other packages would weigh 8 pounds in this case).   Answer: 26
Answer: E
In what ratio must rice of Rs.16 per kg be mixed with rice of Rs.10 per kg so that cost of mixture is Rs.12 per kg?  Choose the correct choice from the following choices:
A) 2:3	B) 5:8	C) 5:6	D) 3:4	E) 1:2

Solution: (12-10)/(16-12)=2/4=1:2   ANSW1:2R:1:2
Answer: E
A retailer buys 120 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1%, what is the profit % ?
Choose the correct choice from the following options.
A) 210	B) 215	C) 212	D) 230	E) 320

Solution: let the market price of each pen be $1   then, Cost Price of 120 pens = $ 36 Selling Price of 120 pens =99% of $120=$ 118.80   profit %=((82.80*100)/36)= 
((82.80*100)/36) = 230
230%   Answer 230
Answer: D
Among 7 Numbers the Average of first four numbers is 13 and the average of last four numbers is 15. The sum of last three numbers is 55. The square of the fourth Number is equal to the last number then what is the last number? Pick
A) 60  B) 52  C) 5  D) 25  E) 125

Solution: let the numbers be a,b,c,d,e,f,g   d+e+f+g = 15 * 4= 
15 * 4 = 60
60   e+f+g= 55, 60 - 55 = 5   so the fourth number is 5. The square is 25.   the answer is Option 25.
Answer: D
which number need to add to 859622 to get a number divisible by 456? Choose the correct choice from the following answers:
A) 565771
B) 456578
C) 676885
D) 788090
E) 859622

Solution: Dividend = Quotient * Divisor + Reminder   859622 / 456 gives quotient = 1885 and reminder = 62.   So, the next number divisible by 456 is 456 places infront of 456 * 1885   Which means 456 – 62 = 394 should be added to 859622.   859622
Answer: E
(169)^2 - (168)^2 =	Pick: A) 1 B) 100 C) 229 D) 329 E) 337

Solution: Using the formula:   (a+1)^2 - a^2 = 2a+1   So, Answer = 168*2 + 1   = 336+1= 
336+1 = 337
337= Answer = 337
Answer: E
If 3 : 12 :: x : 16, then find the value of x
Pick.
A) 2  B) 3  C) 4  D) 5  E) 6

Solution: Explanation:Treat 3:12 as 3/12 and x:16 as x/16, treat :: as = So we get 3/12 = x/16=> 12x = 48=> x = 4 Option 3
Answer: B
The average weight of a group of 30 friends increases by 1 kg when the weight of their football coach was added. If average weight of the group after including the weight of the football coach is 31 kg, what is the weight of their football coach? Choose the correct answer:  A) 31 kg  B) 61 kg  C) 60 kg  D) 62 kg  E) 91 kg

Solution: Explanatory Answer   The new average weight of the group after including the football coach = 31 kg.   As the new average is 1 kg more than the old average, old average without including the football coach = 30 kg.   The total weight of the 30 friends without including the football coach = 30 * 30= 
30 * 30 = 900
900.   After including the football coach, the number people in the group increases to 31 and the average weight of the group increases by 1 kg.   Therefore, the total weight of the group after including the weight of the football coach= 31 * 31= 
31 * 31 = 961
961 kg.   Therefore, the weight of the football coach= 961 - 900= 
961 - 900 = 61
61 kg.   Answer 61 kg
Answer: B
At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $300?	Choose the correct option.
A) 3,108	B) 3,100	C) 3,108	D) 3,124	E) 3,250

Solution: To maximize number of hot dogs with 300$   Total number of hot dogs bought in 250-pack = 22.95*13= 
22.95*13 = 298.35
298.35$   Amount remaining= 300 - 298.35= 
300 - 298.35 = 1.65
1.65$   This amount is too less to buy any 8- pack .   Greatest number of hot dogs one can buy with 300 $= 250*13= 
250*13 = 3_250
3250   Answer 3,250
Answer: E
If x, 3, 4, 5 are there and the range and median of them are the same, what is the value of x?	Choose the correct option
A) 0
B) 1
C) 2
D) 3
E) 4

Solution: Try taking the values of x as you suggested and then see if the median and the range are equal.   Once you do that, you will get the answer yourself.   Tried substituting values starting with 3, 4, 5...   only x = 4 satisfies the condition.   4
Answer: E
If one-third of one-fourth of a number is 15, then three-tenth of that number is
Choose the correct choice from the following answers:
A) 35	B) 36	C) 45	D) 54	E) 57

Solution: Let the number be x. then 1/3 of ¼ of x=15   X=15x12=180   The required number=(3/10)*180= 
(3/10)*180 = 54
54   ANSWER 54 54
Answer: D
A man has Rs. 528 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choose the correct answer:
A) 90  B) 94  C) 96  D) 97  E) 99

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 528   16x = 528   x = 33.   Hence, total number of notes = 3x = 99.   99
Answer: E