MU-NLPC/Calc-aqua_rat huggingface dataset:
In a restaurant, the profit is 140% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit? Select the correct option.
A) 30%	B) 53%	C) 90%	D) 100%	E) None of these

Solution: Explanation :   Let C.P.= Rs. 100. Then, Profit = Rs. 140, S.P. = Rs. 240.   New C.P. = 112% of Rs. 100 = Rs. 112   New S.P. = Rs. 240.   Profit = Rs. (240 - 112) = Rs. 128.   Required percentage = (128 /240 *100) % = 53 % appox   Answer : 53%
Answer: B
The number of sailors on a ship is 80% more than the number of officers. The ratio of sailors to officers would be Choose the correct choice from the following choices:
A) 33:25  B) 9:5  C) 47:25  D) 22:25  E) 97:50

Solution: Sailor = 1.80 * Officer   Sailor/Officer = 1.80/1 = 180/100 = 9/5   Answer will be 9:5
Answer: B
A collection of books went on sale, and 2/3 of them were sold for $3.25 each. If none of the 20 remaining books were sold, what was the total amount received for the books that were sold?	Select the correct option.
A) $130	B) $185	C) $175	D) $165	E) $155

Solution: If 20 books constitute 1/3rd of the total, then 2/3rd of the total = 40 books   $130mount received for sold books = 40 * 3.25= 
40 * 3.25 = 130
$130   $130nswer :$130
Answer: A
An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 26 metre of cloth ? Choose the correct option
A) 175 seconds
B) 195 seconds
C) 155 seconds
D) 115 seconds
E) 203 seconds

Solution: Explanation:   Let the time required by x seconds.   Then, More cloth means More time (Direct Proportion)   So,   0.128 : 1 :: 26 : x => x = {\color{Blue} \frac{26\times 1}{0.128}}   => x = 203.13   So time will be approx 203 seconds   Answer: 203 seconds
Answer: E
Which of the following could be the value of x + y, if both (x + 1/5) and (y – 3/4) are positive integers?	Choose one.
A) 13/5 B) 51/20 C) 31/20 D) 21/20 E) 13/20

Solution: for (x+1/5) to be an integer, least possible value x can take is 4/5   for (y- 3/4) to be an integer, least value y could take is 7/4   x + y => 4/5+7/5 = 51/20   Answer: Option 51/20
Answer: B
A tradesman by means of his false balance defrauds to the extent of 80%? in buying goods as well as by selling the goods. What percent does he gain on his outlay? Choose the correct answer
A) 240%  B) 180%  C) 200%  D) 224%  E) 220%

Solution: g% = 80 + 80 + (80*80)/100= 
80 + 80 + (80*80)/100 = 224
224%   ANSWER:224%
Answer: D
For any a and b that satisfy |a – b| = b – a and a > 0, then |a + 7| + |-b| + |b – a| + |ab| =	Choose the correct choice from the following options
A) a-2b-7	B) ab + 2b + 7	C) a+b+7	D) 2a-2b+8	E) 3a-3b-7

Solution: Observation-1: |a – b| = b – a   which is possible only when signs of a and b are Same   Since Given a > 0   so we figure out that a and b are both positive   Observation-2: |a – b| must be Non-Negative and so should be the value of b-a which is possible only when absolute value of b is greater than or equal to absolute value of a   Now you may choose the values of a and b based on above observations   e.g. b = 7 and a=1 and check the value of given functions and options   |a + 7| + |-b| + |b – a| + |ab| = |1 + 7| + |-7| + |7 – 1| + |1*7| = 28   ab + 2b + 7= 1*7+14+7= 
1*7+14+7 = 28
28   all other options are not equal to 28   Answer : ab + 2b + 7
Answer: B
If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of;
6 – 9 + 8 × 3 ÷ 15 =  Select the correct option.
A) 6
B) 10
C) 12
D) -2
E) 15

Solution: 15 15
Answer: E
If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
Choose the correct choice from the following options: A) 223 B) 245 C) 364 D) 354 E) 465

Solution: A particular players is never chosen, it means that 11 players are selected out of 14 players.   => Required number of ways = 1436411   = 14!/11!x3! = 364   364
Answer: C
Total 15 cows 5 cow gives each 2 liter milk 5 cow gives each 3/4 liter milk 5 cow gives each 1/4 liter milk this is split into 3 son per each 5 cows & 5 liter milk how?	Choose the correct answer
A) 10
B) 5
C) 15
D) 7.5
E) 12.5

Solution: 5 cow 2 liter each =10 liter   5 cow 3/4 liter each= 3/4= 
3/4 = 3/4 = around 0.75
0.75*5= 
0.75*5 = 3.75
3.75   5 cow 1/4 liter each= 1/4= 
1/4 = 1/4 = around 0.25
0.25*5= 
0.25*5 = 1.25
1.25   add  10+3.75+1.25= 
 10+3.75+1.25 = 15
15   milk split into 3 son each 5 liter then 15/3= 
15/3 = 5
5   ANSWER:5
Answer: B
workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.75 lacs . How many workers were they?	Pick one.
A) 220 B) 230 C) 500 D) 1500 E) 590

Solution: N * 50 = (375000 - 300000)= 
(375000 - 300000) = 75_000
75000   N= 75000 / 50= 
75000 / 50 = 1_500
1500   1500
Answer: D
The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?  Choose one:
A) 1200 B) 1227 C) 2788 D) 2767 E) 2971

Solution: P --- 10 ---- 600   P --- 5 ----- 300   3P --- 5 ----- 900   ------   => 1200   1200nswer: 1200
Answer: A
By selling an umbrella for Rs. 300, a shop keeper gains 30%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?	Select
A) 25%  B) 22.2%  C) 28.57%  D) 23%  E) 24%

Solution: Marked price = Rs. 300   C.P. = 100/130 * 300 = Rs. 210   Sale price = 90% of Rs. 300 = Rs. 270   Required gain % = 60/210 * 100 =28.57%.   Answer: 28.57%
Answer: C
Two trains are running at 40 kmph and 20 kmph respectively in the same direction.Fast train completely passes a man sitting in the slower train in 6 seconds.What is the length of the fast train?	Pick one
A) 23 m	B) 23 2/9 m	C) 27m	D) 27 7/9m	E) 33 1/3m

Solution: relative speed=20kmph=50/9m/sec   length of the train=50/9*6=33 1/3   ANSW33 1/3mR:33 1/3m
Answer: E
If a particular player is never chosen, in how many ways can 11 cricket players be chosen out of 17 players?
Choose the most appropriate option.
A) 4245 B) 4256 C) 4368 D) 4370 E) 4390

Solution: A particular players is never chosen, it means that 11 players are selected out of 16 players.   => Required number of ways = 16436811   = 4368   4368
Answer: C
Bus 1 and Bus 2 run between cities A and B. Bus 1 leaves city A at the same time Bus 2 leaves city B,
each at a constant rate of speed. Their first meeting is 40 miles from city A. After reaching their
respective destinations and immediately turning around, their second meeting is 30 miles from city B.
What is the distance in miles between city A and city B?	Options.
A) 90  B) 120  C) 125  D) 150  E) 180

Solution: let d=distance between cities 90 and B   bus 1 distance to first meeting=40 miles   bus 1 distance from first to second meeting=(d-40)+30=d-10 miles   bus 2 distance to first meeting=d-40 miles   bus 2 distance from first to second meeting=40+(d-30)=d+10 miles   because both buses take the same time for the pre-meeting leg, and   the same time for the inter-meeting leg, and their speeds remain   constant, their ratios between pre-meeting distance and inter-meeting   distance should be the same   therefore, 40/(d-10)=(d-40)/(d+10)   d^2=90d   d=90 miles   90
Answer: A
A tap can fill a tank in 4 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?  Pick.
A) 3 hrs 45 min
B) 3 hrs 50 min
C) 3 hrs 12 min
D) 3 hrs 30 min
E) 3 hrs 22 min

Solution: Time taken by one tap to fill the tank = 2 hrs.   Part filled by the taps in 1 hour = 4 * 1/4= 
4 * 1/4 = 1
1   Remaining part= 1 - 1/2 = 1/2   1 : 1/2 :: 1 : x   x = 1/2 * 1 * 1 = 1/2 hrs. i.e., 30 min   So, total time taken = 3 hrs 30 min.   ANSWER: 3 hrs 30 min
Answer: D
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 9? Answers
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: i'm not sure i got the question right, if it is what i think it is, then 5 should be the right answer   0,1,2,3,4,will not have 2 slip sum of 9, add another (either 6,7,8 or 9) and we'll have a pair with sum 9   Ans:5
Answer: C
If y exceeds x by 20%, then x is less than y by?
Choose the correct choice from the following answers:
A) 12 B) 5 4/7 C) 22 D) 16 2/3 E) 100

Solution: Explanation:   X=100	y=120   120------20   100-------? => 16 2/3%   16 2/3
Answer: D
If you are a genius, you can solve it easily.
Use three 9's in a mathematical expression such that it forms the number one. You are not allowed to divide or multiply them.  Options:
A) Not possible  B) Possible  C) Do know  D) Doubt  E) Can't do

Solution: B   Yes We can do it.   9^(9-9)
Answer: B
The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.5225.What was his original salary?  Choose one.
A) 2277	B) 5000	C) 1000	D) 2651	E) 1971

Solution: X * (110/100) * (95/100) = 5225   X * (11/10) * (1/100) = 55   X = 5000   Answer: 5000
Answer: B
John has x dollars more than Peter has, and together they have a total of y dollars. Which of the following represents the number of dollars that Peter has?	Choose the correct choice:	A) (y – x)	B) 3(y – x)/2	C) (y – x)/2	D) (y – x)/7	E) (2y – x)/2

Solution: To solve, we will set up two equations. Let's start by defining two variables.   A = number of dollars Peter has   B= number of dollars John has   We are given that John has x dollars more than Peter. We set up an equation:   B= x + A   We are next given that together they have a total of y dollars. We can set up our second equation:   A + B = y   Since we know that B = x + A, we can substitute x + A for B into the second equation A+ B = y.   Notice that, after the substitution, we will only have variables of A, x, and y. Thus, we have:   A + x + A = y   2A + x = y   2A = y – x   A = (y – x)/2   Answer : (y – x)/2
Answer: C
If n! and (n + 1)! have the same units digit, then n can be which of the following?
I. n = 10
II. n = 1
III. n = 0  Choose the correct option:
A) I only	B) II only	C) III only	D) I and III	E) I, II, and III

Solution: Given: n! and (n + 1)! have the same units digits   Let us first write down the factorials of different numbers:   0! = 1   1! = 1   2! = 2   3! = 6   4! = 24   5! = 120   6! = 720   If we notice here, all the numbers after 4! will end with a 0.   Here is why:   If we multiply any number by 10, a 0 is added to that number   And a 10 is formed by a 5 and a 2, 10 = 5*2   Till 4!, we do not have a "5" in multiplication. But after that, we will have atleast one "5" in the multiplication.   Hence the units digits will be same after 5! and for 0! and 1!   Now checking the statements   I. n = 10   Yes, the units digits of 10! and 11! are same and = 0. TRUE   II. n = 1   units digit f 1! = 1 and units digit of 2! = 2. FALSE   III. n = 0   Units digit of 1! = 1 and units digit of 0! = 1. TRUE   Correct Option: I and III
Answer: D
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?  Choose the correct choice
A) 7 kmph B) 9 kmph C) 1 kmph D) 8 kmph E) 2 kmph

Solution: Speed downstream = d/t = 85/(2 1/2) = 34 kmph   Speed upstream = d/t = 45/(2 1/2) = 18 kmph   The speed of the stream   = (34 - 18)/2= 
(34 - 18)/2 = 8
8 kmph   Answer: 8 kmph
Answer: D
Which of the following lines is perpendicular to y = − 2x + 3 and has the same y-intercept as y = 2x − 5?
Options:
A) y = -1/2*x + 3 B) y = 1/2*x - 5 C) y = 1/2*x + 3 D) y = 2x + 3 E) y = 2x − 3

Solution: Since our line has to perpendicular to y = − 2x + 3   Slope of this line , m = -2   Slope will be required line L = 1/2 ( Product of slope of perpendicular lines = -1)   y-intercept of line L is same as y intercept of line y = 2x − 5   y - intercept of line L = -5   Required line = 1/2* x - 5   Answer y = 1/2*x - 5
Answer: B
What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm?	Choose the correct choice from the following answers.
A) 176
B) 187
C) 540
D) 748
E) 546

Solution: The marbles used to tile the floor are square marbles.   Therefore, the length of the marble=width of the marble.the length of the marble=width of the marble.   As we have to use whole number of marbles, the side of the square should a factor of both 5 m 78 cm and 3m 74. And it should be the highest factor of 5 m 78 cm and 3m 74.   5 m 78 cm = 578 cm and 3 m 74 cm = 374 cm.   The HCF of 578 and 374 = 34.   Hence, the side of the square is 34.   The number of such square marbles required,   =578×374/34×34   =17×11= 187 marbles   Option(187)
Answer: B
A family consist of a grandfather, 5 sons and daughter and 8 grandchildren. They are to be seated in a row for dinner. The grandchildren wish to occupy the 4 seats at each end and the grandfather refuses to have a grandchild on either side of him. The number of ways in which the family can be made to sit is: Pick:  A) 21530  B) 8! * 360  C) 8! * 480  D) 8! * 240  E) None

Solution: Solution:   Total no. of seats,   = 1 grandfather+ 5 sons and daughters + 8 grandchildren   = 14.   The grandchildren can occupy the 4 seats on either side of the table in 4! = 24 ways.   The grandfather can occupy a seat in  (5-1)= 
 (5-1) = 4
4 ways (4 gaps between 5 sons and daughter).   And, the remaining seats can be occupied in 5!= 120 ways (5 seat for sons and daughter).   Hence total number of required ways,   = 8! � 480   Answer: Option 8! * 480
Answer: C
What least number must be subtracted from 3830 so that the remaining number is divisible by 15?  Choose the correct answer:
A) 3
B) 1
C) 5
D) 11
E) 15

Solution: On dividing 3830 by 15, we get remainder = 5.   Required number be subtracted = 5   ANSWER:5
Answer: C
Find the odd man out
864, 420, 200, 93, 40, 16, 6 Pick:
A) 420
B) 200
C) 16
D) 93
E) 6

Solution: 6x2+4=16   16x2+8=40   40x2+12=92   92x2+16=200.. and so on. 93   ANSWER:93
Answer: D
Four friends decided to go on a vacation to a hill station. During their vacation, they experienced 13 days of heavy snowfall. When it used to snow in the morning, the afternoon was clear and when it used to snow in the afternoon, the day was followed by a clear morning.
In total, they had eleven clear mornings and twelve clear afternoons. Is there a way you can calculate the number of days they spent in their vacation? Options:
A) 16  B) 21  C) 18  D) 19  E) 25

Solution: 18   18   Number of days with snow in morning and clear afternoon = A   Number of days with clear morning and snow in afternoon = B   Number of days with no snowfall in morning or afternoon = 18   Now, number of days with snowfall = A + B = 13   Number of days with clear mornings = B + 18 = 11   Number of days with clear afternoons = A + 18 = 12   Adding these three equations, we get   2 * (A + B + 18) = 36   Or, A + B + 18= 
+ 18 = 18
18   Therefore, they spent eighteen days in total at their vacation.
Answer: C
If x=2y=z, what is x-y, in terms of z?  Answers.
A) z B) z/2 C) z/3 D) 2z/5 E) z/5

Solution: x=2y=z   x = z   and y = z/2   x-y = z - z/2 = z/2   Answer is z/2
Answer: B
Seven dierent playing cards, with values from ace to seven, are shued and
placed in a row on a table to form a seven-digit number. What is the probability that this
seven-digit number is divisible by 11?
Note: Each of the possible seven-digit numbers is equally likely to occur.  Select the correct option: A) 4/35 B) 1/7 C) 8/35 D) 2/7 E) 12/35

Solution: To be divisible by 11, the digits must be arranged so that the difference between   the sum of one set of alternate digits, and the sum of the other set of alternate digits, is either   0 or a multiple of 11. The sum of all seven digits is 28. It is easy to nd that 28 can be   partitioned in only two ways that meet the 11 test: 14j14, and 25j3. The 25j3 is ruled out   because no sum of three dierent digits can be as low as 3. Therefore, only the 14j14 partition   need to be considered.   There are 35 dierent combinations of three digits that can fall into the B positions in the   number ABABABA. Of those 35, only four sum to 14: 167, 257, 347, and 356. Therefore, the   probability that the number will be divisible by 11 is 4/35.   correct answer 4/35
Answer: A
A certain roller coaster has 7 cars, and a passenger is equally likely to ride in any 1 of the 7 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 7 times, what is the probability that the passenger will ride in each of the 7 cars?
Choose the correct choice from the following answers:
A) 0	B) 1/9	C) 2/9	D) 720/16807	E) 1

Solution: If he is to ride 6 times and since he can choose any of the 6 cars each time, total number of ways is   = 7 * 7 * 7 * 7 * 7 * 7= 
7 * 7 * 7 * 7 * 7 * 7 = 117_649
117649   Now the number of ways if he is to choose a different car each time is= 7 * 6 * 5 * 4 * 3 * 2 * 1= 
7 * 6 * 5 * 4 * 3 * 2 * 1 = 5_040
5040   So the probability is= 5040/117649 = 720/16807   Answer : 720/16807
Answer: D
In an IT company, there are a total of 100 employees including 50 programmers. The number of male employees is 80, including 35 male programmers. How many employees must be selected to guaranty that we have 3 programmers of the same sex?
Answers.
A) 10  B) 50  C) 55  D) 35  E) 65

Solution: You could pick 50 non-programmers, 2 male programmers, and 2 female programmers, and still not have 3 programmers of the same sex. But if you pick one more person, you must either pick a male or a female programmer, so the answer is 55.   55
Answer: C
Mixture A is 20% oil and 80% material B by weight. If 2 more kilograms of oil are added to the 8 kilograms mixture A, how many kilograms of mixture A must be added to make a 70% material B in the new mixture?  Choose the correct choice:  A) 6  B) 7  C) 8  D) 9  E) 10

Solution: Old mix has 20% oil. You add 2 kgs of 100% oil. You get new mix with 30% oil (70% material B).   w1/w2 = (100 - 30)/(30 - 20) = 70/10= 
70/10 = 7
7/1   For every 7 parts of mix A, you have added 1 part of oil. Since you have added 2 kgs oil, mix A must be 7*2= 
7*2 = 14
14 kgs.   You already had 8 kgs of mix A, so extra mix A added must be 14 - 8= 
14 - 8 = 6
6 kgs.   6nswer (6)
Answer: A
A company has 15 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter?  Choose the correct choice.
A) 1275 B) 1315 C) 1365 D) 1405 E) 1455

Solution: 1513654=1365   The answer is 1365.
Answer: C
In a card game, a combination of two queen beats all others. If Jose is the first to draw from a standard deck of 52 cards, what is the probability that he wins the game with the best possible combination? Pick one
A) 13/221 B) 1/221 C) 2/52 D D) 3/51 E) 4/51

Solution: he best possible combination is the case when he wins in his first two draws   There are 52 cards in a deck of cards with 4 queens in it.   Probability of first card to be queen = 4/52   Probability of Second card to be queen = 3/51   Probability of 1/221est possible case = (4/52)*(3/51) = 1/221   1/221
Answer: B
When R is divided by 9, the remainder is 4. All of the following are possible values of R, except for which of the following?	Choose the correct choice:	A) 13	B) 31	C) 49	D) 57	E) 67

Solution: The number can be expressed in the form of 9x+4 where x can 0,1,2,3,4....   by evaluating the answer choices carefully we can clearly observe that 57 is the only number which can't be expressed R in the form of 9x+4   In other words we can also say that the (answer - 4) will not be divisible by 9.57 is the number which doesn't follow this condition   Correct Answer - 57
Answer: D
If the wheel is 12 cm then the number of revolutions to cover a distance of 1056 cm is?  Answers:  A) 18  B) 26  C) 14  D) 12  E) 91

Solution: 2 * 22/7 * 12 * x = 1056 => x   = 14   Answer: 14
Answer: C
In a football team, scored 3 goals luis diego more than 2 goals more than samuel who scored three parts of what I write down luis and diego. Diego scored many goals?  Pick
A) 2  B) 4  C) 0  D) 1  E) 3

Solution: Realizamos un sistemas de tres ecuaciones, Luis=3+Diego; Luis=2+Samuel, Samuel=Luis+Diego/3   Resolvemos   Diego=0   Answer: 0
Answer: C
A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 1 days. How many more days are required to complete the remaining work if they work together? Choose one:
A) 3 (5/18)	B) 3 (5/16)	C) 3 (5/11)	D) 3 (5/13)	E) 4 (5/11)

Solution: A can do 1/10 of the work in a day.   B can do 1/12 of the work in a 1 day.   Both of them together can do (1/10 + 1/12) part of work in 1 day = (6 + 5)/60 = 11/60   They take 60/11 days to complete the work together.   Given that they already worked for 1 days.   The number of days required to complete remaining work => 60/11 - 1 = 49/11 = 4 (5/11) days.   Answer:4 (5/11)
Answer: E
How many numbers from 29 to 119 are exactly divisible by 11?  Choose the correct option:
A) 5 B) 7 C) 9 D) 8 E) 12

Solution: 29/11 = 2 and 119/11 = 10 ==> 10 - 2= 
10 - 2 = 8
8 Numbers   Answer : 8
Answer: D
In a certain large company, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one picks a random college graduate at this large company, what is the probability Q this college graduate has a graduate degree?	Choose the correct choice from the following:
A) 1/11
B) 1/12
C) 1/13
D) 3/19
E) 3/43

Solution: In believe the answer is D. Please see below for explanation.   0) we are told the following ratios   CG3/19 - College Graduate with 3/19egree   NCG - Non College Graduate   CGN - College Graduate no 3/19egree   CG3/19 NCG CGN   1 8   3 2   In order to make CG3/19 and CGN comparable we need to find the least common multiple of 8 and 3 and that is 24 multiplying the first ratio by 3 and the second ratio by 8 we get   CG3/19 NCG CGN   3 24 16   If one picks a random college graduate at this large company, what is the probability this college graduate has a graduate degree?   Nr of CG3/19 = 3   Nr of CG = 3+ 16= 
3+ 16 = 19
19   Probability of CG3/19 / (CG) Q-> 3/19   Answer 3/19
Answer: D
If x > 1, which of the following decreases as x decreases?
I. x + x^3
II. 2x^2 − x
III. 1/(x + 1)	Select: A) I only B) II only C) III only D) I and III E) II and II

Solution: let x= 4 and 3 b old and new values   ST1: x= 4 -> 4+64 = 68   x=3-> 3+27= 30 ...decreased   ST2:x= 4-> 2*16-4 = 28   x=3->2*9-3 = 15   decreased   St3: x=4-> 1/4 = .25   x=3->1/3 = .33   Ans: II and II
Answer: E
Half of 5 percent written as decimal is Choose the most appropriate option:
A) 5
B) 0.5
C) 0.05
D) 0.025
E) None of these

Solution: Explanation:   It will be 1/2(5%) = 1/2(5/100) = 5/200= 
5/200 = 1/40 = around 0.025
0.025   Answer: Option 0.025
Answer: D
An empty wooden vessel weighs 12% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.	Answers:
A) 3/5	B) 6/11	C) 1/24	D) 4/9	E) 2/5

Solution: An empty wooden vessel weighs 12% of its total weight when filled with paint:   Vessel = 0.12(Vessel + Paint);   12V = V + P (so the weight of completely filled vessel is 10V)   P = 11V (so the weight of the paint when the vessels is completely filled is 9V).   The weight of a partially filled vessel is one half that of a completely filled vessel:   V + P' = 1/2*12= 
1/2*12 = 6
6V (so the weight of the paint when the vessels is partially filled is 6V).   What fraction of the vessel is filled?   So, we need to find the ratio of the weight of the paint when the vessel iscompletely filledto the weight of the paint when the vessel ispartially filled:   P'/P= 6V/11V = 6/11.   Answer: 6/11.
Answer: B
By selling an article at Rs.800, a profit of 25% is made. Find its cost price?
Choose the most appropriate option
A) s.486  B) s.455  C) s.640  D) s.480  E) s.489

Solution: SP = 800   s.640P = (SP)*[100/(100+P)]   = 800* [100/(100+25)]   = 800* [100/125]   = Rs.640   Answer: s.640
Answer: C