MU-NLPC/Calc-aqua_rat huggingface dataset:
In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?	Choose the correct choice from the following choices:  A) 400  B) 625  C) 1250  D) 2500  E) 10 000

Solution: If x is total number of fish in the pond :   4 = 50/x * 100   => x = 1250   So answer is 1250
Answer: C
A man had to make 3 trips to the store because he kept forgetting items his wife had requested. The store was 500 meters from his home. It took the man 45 minutes to complete the store run. What was the man's speed in kilometers per hour. Choose the most appropriate option:
A) 2 B) 1.5 C) 2.25 D) 3 E) 1.75

Solution: The distance between the man's home and the store is 500 meters.   3 times means that the man made the 500 meter trip 6 times in total.   6 * 500= 
6 * 500 = 3_000
3000 meters or 3 km.   Since the man's total time was 45 min, we need to multiply 3000 by 3/4 or .075.   2.25orrect answer is 2.25 km per hour
Answer: C
Triangle STV has sides ST = TV = 13, and SV = 10. What is the area?	Choose the correct choice from the following
A) 60
B) 100
C) 120
D) 136
E) 165

Solution: Let the base B of the triangle be SV = 10. Then we need to find the height H.   H^2 = 13^2 - 5^2 = 144 and then H = 12.   The area is (1/2)*B*H = 5*12= 
5*12 = 60
60   The answer is 60.
Answer: A
A student committee that must consists of 6 members is to be formed from a pool of 8 candidates. How many different committees are possible Choose the correct choice
A) 5	B) 28	C) 40	D) 56	E) 336

Solution: Out of 8 people, any 6 can be selected for a committee. So 8c6= 28 is the answer.   28
Answer: B
2^1 + 2^1 + 2^1 + 2^1 = Choose the most appropriate option
A) 2^2	B) 4^6	C) 4^8	D) 4^9	E) 4^12

Solution: Hi shakticnb,   Certain Quant questions on the GMAT are just about 'organizing' the information in a specific way. If you find yourself getting confused by a prompt, think about how you might change the way that the information is presented to you.   Here, for example, we're asked for....   2^1 + 2^1 + 2^1 + 2^1 =   Now, the GMAT doesn't really expect us to calculate this sum (but we could if we had to), but we are expected to find a way to organize this information... If, instead of all of those exponents, we had...   X + X + X + X =   What would the sum be?   Clearly, it would be 4(X) = 4X.....since we're just combining 'like' terms. Take that same idea with this prompt and you have...   2^1 + 2^1 + 2^1 + 2^1 =   2(2^1)   This can be re-written as...   (2^1)(2^1)   ...and now we can use exponent rules; since we're MULTIPLYING 'bases' that are the same, we ADD the exponents...   (2^1)(2^1) = 2^2   Final 2^2nswer:   2^2
Answer: A
If M = 2N+1 where M is an Integer then which of the following is true?	Choose the correct choice from the following answers
A) M is even if N is a non integer and a multiple of 0.5
B) M is always Even
C) M is a non multiple of 2
D) M= 1
E) M IS ODD

Solution: M is even if N is a non integer and a multiple of 0.5
Answer: A
A man purchases 2 watches for $ 500. He sells one at 15% profit and the other at a loss of 10%. He neither gains nor loses on the whole. Thus, the cost price of two watches are : Choose the correct choice from the following answers:
A) $ 260 and $ 300  B) $200 and $ 300  C) $224 and $336  D) $560 and $560  E) $224 and $ 350

Solution: x + y = 500 --- (1)   1.15x + 0.9y = 500 --- (2)   (2) - (1) --> 0.15x - 0.1y = 0   15x = 10y   x/y = 2/3 = (2*100)/(3*100) = 200/300   Answer: $200 and $ 300
Answer: B
A man can row downstream at the rate of 10 Km/hr and upstream at 6 Km/hr. Find man's rate in still water and the rate of current?	Select the correct option:
A) 9,6
B) 8,2
C) 9,3
D) 6,6
E) None of these

Solution: Explanation:   Rate of still water = 1/2 (10 + 6) = 8 Km/hr   Rate of current = 1/2 (10-6) = 2 Km/hr   Answer: Option 8,2
Answer: B
In the youth summer village there are 300 people, 200 of them are not working,100 of them have families and 125 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 most appropriate option.
A) 150  B) 125  C) 175  D) 200  E) 100

Solution: total =300   not working =200   having family=100   like to sing in shower = 125   working=300-200= 
300-200 = 100
100   not having family= 300-100= 
300-100 = 200
200   like to sing in shower= 125   largest possible number is the lowest possible among the above   Thus 100   100
Answer: E
The price of cooking oil has increased by 25%. The percentage of reduction that a family should effect in the use of cooking oil so as not to increase the expenditure on this account is?  Choose the correct choice from the following: A) 25% B) 20% C) 23% D) 24% E) none of these

Solution: Reduction in consumption   = [(P/(100 + P)] X 100)%   = [(25/(100 + 25)] X 100)%   = 20%   ANSWER:20%
Answer: B
In the quiet town ofNothintodothere are 600 inhabitants, 400 are unemployed and 200 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists? Choose the correct choice from the following choices:	A) 50.	B) 100.	C) 150.	D) 200.	E) 300.

Solution: Total = 600   unemployed=400   employed=600-400= 
600-400 = 200
200   som=200   unemployed som = 200/2= 
200/2 = 100
100   employed som= 100   employed that are not som = 200-100= 
200-100 = 100
100   Answer : 100.
Answer: B
What is the sum of this series?
1, 3, 5, 7, 9, ...... 35.
Choose the correct choice
A) 324	B) 350	C) 384	D) 444	E) 256

Solution: Number of odd numbers between 1 and 35 is  (35+1)/2= 
 (35+1)/2 = 18
18   Therefore Sum of odd numbers   18*18= 
  18*18 = 324
324   324NSWER: 324
Answer: A
A can do half the work in one day where as B can do it full. B can also do half the work of C in one day. Ratio in their efficiency will be?	Choose the correct answer:
A) 1:2:8
B) 1:2:0
C) 1:2:5
D) 1:2:4
E) 1:2:1

Solution: WC of A: B = 1:2   B: C = 1:2   ---------------------   A: B: C = 1:2:4   Answer:1:2:4
Answer: D
The sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n^3/3 + c*n^2 + n/6, where c is a constant. What is the sum of the first 20 positive perfect squares? Choose the correct option:	A) 1,010	B) 1,164	C) 1,240	D) 2,316	E) 2,870

Solution: First we need to find the constant 'c'. The easiest way to find this is for the sum of the first two perfect squares for 1 and 2 = 1 and 4 respectively.   Hence LHS = 1+4 and plug n=2 for RHS and simplify to get c = 1/2.   Plug values of n = 20 and c = 1/2 into the equation and simplify to get the answer 2870.   Option 2,870.
Answer: E
A rectangular photograph is surrounded by a border that is 3 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 6 inches wide on each side, the total area would have been (M + 178) square inches. What is the perimeter of the photograph, in inches?
Choices.
A) 34
B) 36
C) 38
D) 40
E) 20

Solution: Let Length and Breadth of photograph be L and B respectively.   Perimeter is given by 2*(L+b) -----(1)   According to the question:   (L+6)(B+6) = m ----(2)   and   (L+12)(B+12) = m + 178 ---------> (L+12)(B+12) - 178 = m ------(3)   20quating (2) and (3)   (L+6)(B+6) = (L+12)(B+12) - 178   LB + 6L + 6B +36 = LB + 12L + 12B + 144 -168   Simplify   6L + 6B = 60 ------> 2(L+B) = 20 (Check eq (1))   Answer is 20
Answer: E
The price of 357 mangoes is Rs. 1517.25 what will be the approximate price of 9 dozens of such mangoes ?	Pick one.
A) Rs. 3000	B) Rs. 3500	C) Rs. 4000	D) Rs. 2500	E) None of these

Solution: Solution   Let the required price be Rs. x. Then, More mangoes, More price   ∴ 357 : (49 × 12) : : 1517.25 : x   ⇔ 357 x = (49 × 12 × 1517.25) ⇔ x = 49x12x1517.25/357⇔ x = 2499.   Hence, the approximate price is Rs. 2500 . Answer Rs. 2500
Answer: D
If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. x + y is even
II. (x+z)/y is an integer
III. xz is even  Pick one:
A) I only
B) II only
C) III only
D) I and II only
E) I, II, and III

Solution: x, y, and z are consecutive integers ⇒   Y = X+2   Z = X+4   1- x+y is even - Correct: sum of any 2 odd integers is even   2- (x+z)/y is an integer - Correct: x+z = x+x+4 = 2x+4 = 2(x+2)   and x+z/y = 2(x+2)/x+2 = 2 ⇒ integer   3- xz is even - Not Correct: multiplication of any 2 odd integers is always odd   Answer: I and II only
Answer: D
If a 3-member subcommittee is to be formed from a certain 6-member committee, how many different such subcommittee are possible?	Choices.
A) 6	B) 18	C) 20	D) 108	E) 216

Solution: 1st member can be selected in 6 ways   2nd can be selected in 5 ways   3rd can be selected in 4 ways   So total ways : 120   But to avoid the similar scenarios 120/3!=20   ANS:20
Answer: C
If m is not equal to zero, and m+1/m = 1, then what is the value of m^4 + (1/m)^4? Choices:
A) -5
B) -4
C) -3
D) -2
E) -1

Solution: m + 1/m=1   we square both sides so we have m^2 + 1/m^2 +2 = 1   or m^2 + 1/m^2= -1   squaring again we have m^4 + 1/m^4 + 2 = 1   or m^4 + 1/m^4 = -1   answer =-1 (-1)
Answer: E
A girl has 12 jeans and 15 tops. In how many different ways can she select a jeans and a tops?
Select:
A) 108
B) 200
C) 90
D) 120
E) 180

Solution: The girl can select one jeans in 12 ways.   The girl can select one top in 15 ways.   The number of ways in which she can select one jeans and one top is   12*15= 
  12*15 = 180
180   Answer:180
Answer: E
If a person allocates 20 percent of his budget to house rent, 30 percent to food, and 25 percent to clothes, what fraction of his budget remains for other allocations?
Choose the correct choice from the following answers.
A) 3/5	B) 4/5	C) 1/2	D) 1/3	E) 1/4

Solution: 100%-(20%+30%+25%)=25% remains for other allocations --> 25% 100 -(20 +30 +25 )= 
100 -(20 +30 +25 ) = 25
25% remains for other allocations --> 25% = 25/100   --  25= 
  --  25 = 25
25/100= 1/4.   Answer: 1/4.
Answer: E
If a committee of 3 people is to be selected from among 4 married couples so that the committee does not include two people who are married to each other, how many such committees are possible? Pick:
A) 20	B) 32	C) 54	D) 80	E) 120

Solution: You now have your Committee of 3 people. But you've selected them in an order, when order doesn't matter.   Selection #1 = Jack   Selection #2 = Susan   Selection #3 = Mary   Assume this is a good committee where Jack is not married to Susan or Mary and Susan and Mary are not married. The above committee will be the same as the following committee:   Selection #1 = Susan   Selection #2 = Mary   Selection #3 = Jack   To account for the fact that the order does not matter, we must divide out the number of ways a single committee can be the same members but in different order. 3 places = 3!, 3*2*1 = 6.   8*6*4 / 6= 
8*6*4 / 6 = 32
32. Answer 32.
Answer: B
If Jake loses 8 pounds, he will weigh twice as much as his sister Kendra. Together they now weigh 284 pounds. What is Jake’s present weight, in pounds?
Select the correct option:  A) 176  B) 180  C) 184  D) 188  E) 192

Solution: J + K = 284 and so K = 284 - J   J - 8 = 2K   J - 8 = 2(284-J)   3J = 576   J = 192   The answer is 192.
Answer: E
A and B complete a work in 80 days. A alone can do it in 40 days. If both together can do the work in how many days?  Answers.
A) 1.0875 days B) 0.1875 days C) 0.0675 days D) 0.0375 days E) 0.0775 days

Solution: 1/80 + 1/40= 
1/80 + 1/40 = 3/80 = around 0.0375
0.0375 days   ANSWER:0.0375 days
Answer: D
A composer’s guild is planning its spring concert, and eight pieces have been submitted for consideration. The director of the guild knows that they will only have time to present five of them. If the pieces can be played in any order, how many combinations of pieces are possible?
Choose the correct choice from the following:
A) 56	B) 21	C) 10	D) 50	E) 19

Solution: Combination question..   8C5 = 56..   IMO option 56 is correct..
Answer: A
Line k is in the rectangular coordinate system. If the f-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) -3f + 2y = 6  B) 3f + 2y = -6  C) 3f - 2y = 6  D) 2f - 3y = 6  E) -2f - 3y = 6

Solution: This question can be solved in much simpler way.   To find the f intercept   Put y=0 in the equation of the line.   To find the y-intercept   Put f=0 in the equation of the line.   So   Sub f=0 in the answer choices check whether you are getting y=3.   A. -3f + 2y = 6 --- y = 3   B. 3f + 2y = -6 --- y = -3   C. 3f - 2y = 6 ----- y = -3   D. 2f - 3y = 6 --- y = -2   E. -2f - 3y = 6 --- y =-2   Eliminate answer B,C,D and E.   So the answer is -3f + 2y = 6.
Answer: A
John's annual salary after a raise of 15% is $45,000. What was his salary before the raise?
Select the correct option.
A) $49,007	B) $31,876	C) $54,765	D) $39,130	E) $42,123

Solution: Let x be the salary before the increase. Hence x + 15% x = $45,000   Solve for x to find x = $39,130   correct answer $39,130)$39,130
Answer: D
The marks of 10 students of a class are 46,51,62,70,35,x,50,83,65,52. If the average marks is 55, find x.
Choose the correct answer: A) 36 B) 34 C) 42 D) 46 E) 52

Solution: 36verage =( 46+51+62+70+35+x+50+83+65+52 )/10 = 55 Therefore x = 550- 514= 
550- 514 = 36
36 36nswer : 36
Answer: A
The population of a town increases 20% and 25% respectively in two consecutive years. After the growth the present population of the town is 1500. Then what is the population of the town 2 years ago? Select the correct option:
A) A)1000
B) B)1100
C) C)1200
D) D)1300
E) E)1400

Solution: Explanation:   Formula: (1000fter =100 denominator   1000go = 100 numerator)   1500 * 100/120 * 100/125= 
1500 * 100/120 * 100/125 = 1_000
1000   1000nswer: Option 1000
Answer: A
If 21!/3^x is an integer, what is the greatest possible value of x?  Answers: A) 3 B) 4 C) 5 D) D E) 7

Solution: 21 - 7 *3   18 - 3*3*2   15 - 5*3   12 - 4*3   9 - 3*3   6 - 2*3   3 - 1*3   Hence max of 3^9 is allowed. IMO D.
Answer: D
Max bungee jumps from the top of a building straight to the ground at a constant speed. 5 seconds after he starts plummeting he passes the 10th floor. 10 seconds after he starts plummeting he passes the 5th floor. Each floor is 5 meters high. What is Mr. Wayne's speed in meters per second?  Pick:
A) 5
B) 6
C) 10
D) 15
E) 12

Solution: 10 Floors * 5 Meter/Floor = 50 Meters   Time= 10 sec   Rate * 10 = 50   Rate= 50/10= 
50/10 = 5
5   5nswer is 5
Answer: A
In how many different number of ways 7 men and 2 women can sit on a shopa which can accommodate persons?
Select:
A) 200	B) 210	C) 230	D) 250	E) 15120

Solution: 9p5 = 9 X 8 X 7 Ã— 6 Ã— 5 = 15120   15120)
Answer: E
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 choice from the following
A) 65 liters  B) 88 liters  C) 10 liters water  D) 45 liters  E) 8 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 water
Answer: C
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 22, then how old is B?	Pick one
A) 17 years  B) 19 years  C) 29 years  D) 8 years  E) 12 years

Solution: Let C's age be x years.   Then, B's age = 2x years.   A's age = (2x + 2) years.   (2x + 2) + 2x + x = 22   5x = 20 => x = 4   Hence, B's age = 2x = 8 years.   Answer: 8 years
Answer: D
In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 5 percent, but profits were 10 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Select:
A) 80%	B) 105%	C) 120%	D) 124.2%	E) 95%

Solution: the profit 0f 2009 interms of 2008 = 0.95*10/10*100= 
0.95*10/10*100 = 95
95%   95%
Answer: E
A person can swim in still water at 10 km/h. If the speed of water 4 km/h, how many hours will the man take to swim back against the current for 12 km?
Options:
A) 2	B) 7	C) 5	D) 9	E) 6

Solution: M = 10   S = 4   US =10 - 4= 
10 - 4 = 6
6   D= 12   T = 12/6= 
12/6 = 2
2   2nswer: 2
Answer: A
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
Choose the correct choice from the following answers.
A) 6620
B) 9278
C) 2782
D) 5772
E) 5286

Solution: 6620 = 20000(11/10)3   = 26620   = 20000   ----------   6620   6620nswer: 6620
Answer: A
In a simultaneous throw of two dice , what is the probability of getting to total of 10 or 11?
Answers.
A) 1/4 B) 1/6 C) 7/12 D) 5/36 E) 11/36

Solution: n(S)36   n(E)=5   P(E)=5/36   ANSWER 5/36 5/36
Answer: D
In the city of San Durango, 60 people own cats, dogs, or rabbits. If 38 people owned cats, 40 owned dogs, 10 owned rabbits, and 12 owned exactly two of the three types of pet, how many people owned all three?  Choices:
A) 2
B) 4
C) 8
D) 12
E) 32

Solution: Total = 8 + D + R - (8D + DR + 8R) - 28DR   60 = 38 + 40 + 10 - (12) - 2x   x = 8   So, answer will be 8
Answer: C
The set X = {10,11,12,13,14}. The set Y = {2,3,4,5}. We will randomly choose one element x from set X and one element y from set Y. What is the probability that x / y will be an integer?	Choose the correct choice from the following:  A) 7/20  B) 3/20  C) 7/10  D) 3/10  E) 3/5

Solution: The total number of x and y pairs is 5*4= 
5*4 = 20
20.   There are six pairs such that x / y is an integer.   The probability that x / y is an integer is 6/20=3/10.   The answer is 3/10.
Answer: D
The sum of two numbers is 20. The larger number is four less than twice the smaller number. What are the two numbers? Choose the correct choice from the following answers.
A) 7 and 12	B) 8 and 12	C) 9 and 12	D) 10 and 12	E) None of these

Solution: Let x and y be the two numbers such that x is larger than y. The statement "the larger number is four less than twice the smaller number" may be formulated by   x = 2y - 4   We use the sum of the two numbers to write a second equation.   x + y = 20   Substitute x by 2y - 4 in x + y = 20 to obtain   2y - 4 + y = 20   Solve for y to find   y = 8 and x = 2y - 4 = 12   Answer 8 and 12
Answer: B
Average between two sets of numbers is closer to the set with morenumbers? Choose the correct choice from the following options.
A) 70
B) 80
C) 85
D) 90
E) 95

Solution: If on a test three people answered 90% of the questions correctly and two people answered 80% correctly, then the average for the group is not 85% but rather 3×90+2×805=4305=86.3×90+2×805=4305=86.   Here, 90 has a weight of 3 => it occurs 3 times.   Whereas 80 has a weight of 2 => it occurs 2 times.   So the average is closer to 90 than to 80 as we have just calculated.   80
Answer: B
A can finish a work in 12days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in? Choose the most appropriate option
A) 10days
B) 12days
C) 6days
D) 7days
E) 5days

Solution: B+C 1day work = 1/9 + 1/12 +  1= 
+  1 = 1
1/9 + 1/12= 7/36   work done by B and C in 3days = 7/36 * 3 = 7/12   Remaining work = 1 - 7/12 = 5/12   1/24 work is done by A in 1day   5/12 work is done by A in  12*5/12= 
 12*5/12 = 5
5days   Answer is 5days
Answer: E
An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?	Choose the correct choice from the following answers:	A) 29777	B) 37500	C) 27889	D) 2776	E) 29971

Solution: Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (100000 - x). Then,   (x * 9 * 1)/100 + [(100000 - x) * 11 * 1]/100 = (100000 * 39/4 * 1/100)   (9x + 1100000 - 11x)/100 = 39000/4= 
39000/4 = 9_750
9750   x= 62500   Sum invested at 9% = Rs. 62500   Sum invested at 11% = Rs. (100000 - 62500) = Rs. 37500.   Answer: 37500
Answer: B
If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price? Choose the correct choice from the following options.
A) 16 2/3%  B) 16 2/8%  C) 16 2/1%  D) 16 1/3%  E) 16 2/7%

Solution: Let the price of the article be Rs. 100.   20% of 100 = 20.   New price = 100 + 20 = Rs. 120   Required percentage = (120 - 100)/120 * 100   = 20/120 * 100 = 50/3 = 16 2/3%.   16 2/3%nswer:16 2/3%
Answer: A
The average of 25 results is 8. The average of first 12 of them is 14 and that of last 12 is 17. Find the 13 result?  Choose the correct choice from the following options:  A) 52  B) 68  C) 78  D) 92  E) 65

Solution: 13th result = sum of 25results - sum of 24 results   18*25-14*12+17*12 = 78   Answer is 92
Answer: D
How many integers between 300 and 1400 are there such that their unit digit is odd? Select
A) 350
B) 450
C) 550
D) 650
E) 750

Solution: There are 1100 numbers from 301 to 1400 (inclusive).   Half of the numbers are odd, so there are 550 odd numbers.   The answer is 550.
Answer: C
Caleb spends $64.50 on 50 hamburgers for the marching band. If single burgers cost $1.00 each and double burgers cost $1.50 each, how many double burgers did he buy?  Select the correct option:
A) 29	B) 10	C) 20	D) 40	E) 45

Solution: Solution -   Lets say, Single hamburgersxand Double hamburgersy   Given that,   x+y=50 and 1x+1.5y=64.50. By solving the equations y=29. 29NS 29.
Answer: A
5b2 is a three-digit number with b as a missing digit. If the number is divisible by 6, the missing digit is:  Choose the correct choice from the following answers
A) 2	B) 3	C) 6	D) 7	E) 8

Solution: Let the number be 5b2. Clearly, it is divisible by 2.   Now, 5+b+2= (7+b) must be divisible by 3. So, b= 2.   2NSWER:2
Answer: A
The average salary of 16 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $16,000 each. What is the average salary of the remaining employees?	Choose the correct choice from the following answers.
A) $18,714	B) $18,500	C) $18,000	D) $15,850	E) $12,300

Solution: total salary... 16*20k=320k   5 emp @ 25k =125k   4 emp @ 16k =64k   remaing 7 emp sal = 320k-125k-64k =131k   average320 -125 -64= 
320 -125 -64 = 131
131k   average=131k/7 = 18714   $18,714ns :$18,714
Answer: A
If 314,314 bottles of water need to be placed in boxes and each box can contain at most 9 bottles of water. How many bottles of water will be in the last unfilled box? Choose the correct option
A) 4 B) 5 C) 6 D) 7 E) 10

Solution: The number of bottles of water that can be placed in boxes of 9 bottles is the first number that is divisible by 9 that occurs before 314,314.   In order to divide the sum in 9 parts, the amount must be divisible by 9   Divisibility rule of 9: The sum of the digits must be divisible by 9   Sum of digits of 314,314 = 16 and 9 is divisible by 9.   Hence, we need to remove 7 to this number for it to be divisible by 9   Correct Option: 7
Answer: D
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount?
Choose the correct choice from the following answers.
A) 166	B) 105	C) 178	D) 177	E) 169

Solution: x:y:z = 100:45:30   20:9:6   9 --- 27   35 --- ? => 105   Answer: 105
Answer: B
Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 460?
Answers:
A) 18%  B) 21%  C) 25.9%  D) 19%  E) None of these

Solution: CP = Rs. 540, MP = 540 + 15% of 540 = Rs. 621   SP = Rs. 460, Discount = 621 - 460= 
621 - 460 = 161
161   Discount %= 161/621 * 100 = 25.9%   ANSWER:25.9%
Answer: C