MU-NLPC/Calc-aqua_rat huggingface dataset:
Bradley owns 3b video game cartridges. If Bradleyâ€™s total is one-fourth the total owned by Andrew and triple the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
Choose the correct choice from the following
A) 16/3)b  B) 17/4)b  C) 13/4)b  D) 16b  E) 7/12)b

Solution: Step 1: Categorize the problem   This problem is testing basic algebra and equations, with an extra layer of complexity by having variables in the answer choices.   Step 2: Think like the test maker   What is the key detail or key details in the problem? The key detail to immediately recognize is that the problem gives you Andrew and Charlieâ€™s totals in relation to Bradleyâ€™s total rather than giving you Bradleyâ€™s total in relation to the other two; and then the problem asks you to solve the problem in terms of b. This means that you have to relate Andrew and Charlieâ€™s values in relation to Bradleyâ€™s total. The test maker is attempting to force you to structure the problem in the opposite way that most people are used to structuring information. By gaining this insight, it makes it easier to solve the problem.   Step 3: Solve the problem   3b = Bradleyâ€™s total   4*3b = Andrewâ€™s total   (1/3)*3b = Charlieâ€™s total   Add each total   3b + 4*3b+ (1/3)3b = 3b + 12b + b = 16b   Therefore,choose 16b.
Answer: D
An auto assembly plant performs six functions with each frame that arrives: add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. Once those six tasks are performed, each car goes to a separate building for finishing touches. If these tasks can be arranged along a linear assembly line in any order, except that the axles must be installed before the wheels can be added, how many Y ways can the assembly line be arranged?
Answers:	A) 120	B) 240	C) 360	D) 480	E) 720

Solution: C) 360   short way: there are 6C! ways to do the six tasks. Half will have wheels before axles and half will have axles before wheels. So we want Y=6360!/2 -> 720/2 = 360
Answer: C
Of the 80 people in a room, 1/4 are women. If 3/4 of the people are married, what is the maximum number of women in the room who could be unmarried?
Choose the correct choice from the following choices: A) 20 B) 24 C) 26 D) 28 E) 30

Solution: women = 1/4 * 80= 
1/4 * 80 = 20
20   married= 3/4 * 80= 
3/4 * 80 = 60
60   unmarried= 20   max(un-married women) = 20   20nswer 20
Answer: A
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Select the correct option.
A) 4	B) 5	C) 6	D) 7	E) 9

Solution: Let the ages of the children be x, (x + 3), (x + 6), (x + 9) and (x +12) years.   Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50   5x = 20 => x = 4.   4ge of youngest child = x = 4 years.4nswer: 4
Answer: A
A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?	Choose the correct answer:  A) 200  B) 99  C) 88  D) 77  E) 112

Solution: Profit on first article = 20% of 1000 = 200.   This is equal to the loss he makes on the second article. That, is he makes neither profit nor loss.   200nswer:200
Answer: A
David mixed 20 kg of butter at Rs. 200 per kg with 30 kg butter at the rate of Rs. 100 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
Choose the correct choice from the following options.
A) Rs. 96  B) Rs. 196  C) Rs. 296  D) Rs. 190  E) Rs. 195

Solution: Cost of Butter = 20*200+ 30*100 /50 =7000/50= 
7000/50 = 140
140   40% of 140= 56   S.P. should be = 140+56 = Rs. 196/ kg   Answer : Rs. 196
Answer: B
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 2/3 hours to fill the tank. The leak can drain all the water of the tank in	Options
A) 6 hours
B) 8 hours
C) 9 hours
D) 10 hours
E) 12 hours

Solution: Explanation:   Solution 1   The pump can fill the tank in 2 hour. But, because of the leak, it took 2 2/3 hours to fill the tank.   i.e., the additional water filled by the pump in 2/3 hour is emptied by the leak in 2 2/3 = 8/3 hours.   Therefore, the water filled by pump in 2 bour can be emptied by the leak in 8/3 X 3 = 8 hours.   i.e., The leak can drain all the water of the tank in 8 hours.   ANSWER IS 8 hours
Answer: B
When Ravi was 8 years old, his father was 31 years old,. Now his father is twice Ravi's age. How old is Ravi now? Choices
A) 45 yrs
B) 46 yrs
C) 47 yrs
D) 48 yrs
E) 49 yrs

Solution: When Ravi was 8 years old, his father was 31 years old,.   Means father's age is 23 years more than Ravi.   Now his father is twice Ravi's age.   It means difference between their ages is equal to present age of Ravi.   So Ravi's present age = 23 years. and father's age = 2*23= 
2*23 = 46
46 yrs   ANSWER:46 yrs
Answer: B
A no.when divided by 223 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
Choose the correct answer:
A) 2 B) 7 C) 9 D) 11 E) 15

Solution: 223 + 43= 
223 + 43 = 266
266/17= 11 (Remainder)   11
Answer: D
Dhoni spends $250 buying his favorite dolls. If he buys only small Barbie dolls, which are $5 cheaper than the large Barbie dolls, he could buy 25 more dolls than if he were to buy only large Barbie dolls. How much does a large Barbie doll cost?	Choose the correct option
A) $10.5	B) $10	C) $11	D) $12	E) $13

Solution: A is not an integer. So we start with B.   If large doll costs $10, then he can buy   250/10= 
  250/10 = 25
25 large dolls and   250/5= 
  250/5 = 50
50 small dolls.   Difference is 25, which is we wanted.   Answer $10.
Answer: B
A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $2,500. If the price of the car in 1996 was $22,000, what is the car's price in 2002? Answers:
A) $18,400	B) $19,500	C) $20,200	D) $20,400	E) $21,200

Solution: Price in 96 = 22000   Price decrease each year = 2.5/100*22000= 
2.5/100*22000 = 550
550   Price in 97= 22000 - 550   Price in 98 = 22000 - 2*550   Price in 99 = 22000 - 3*550   Price in 00 = 22000 - 4*550   Price in 01 = 22000 - 5*550   Price in 02 = 22000 - 6*550= 
22000 - 6*550 = 18_700
18700   Investment in the car= 2500   Net price of the car in 02 = 18700 + 2500= 
18700 + 2500 = 21_200
$21200   Correct Option: $21,200
Answer: E
If 2 men or 3 women can reap a field in 5 days how long will 5 men and 6 women take to reap it?  Choose the correct choice:
A) 2/24  B) 6/18  C) 2/22  D) 5/12  E) 9/10

Solution: 9/10xplanation:   2 men reap 2/5 field in 1 day   1 man reap 1/(2 x 5)   3 women reap 1/43 field in 1 day   1 woman reap 1/(5 x 3)   5 men and 6 women reap (5/(2 x 5)+ 6/(3 x 5)) =9/10 in 1 day   5 men and 6 women will reap the field in 9/10 days   Answer: Option 9/10
Answer: E
Calculate the ratio between x and y if 25% of x equal to 40% of y?  Choose the correct choice from the following:
A) 5 : 8 B) 5 : 9 C) 5 : 7 D) 5 : 6 E) 5 : 4

Solution: Explanation:   25 x = 40 y   x: y = 25 : 40 = 5 : 8   5 : 8nswer:5 : 8
Answer: A
Ayesha's father was 40 years of age when she was born while her mother was 32 years old when her brother six years younger to her was born. What is the difference between the ages of her parents?  Choose the most appropriate option:
A) 6  B) 14  C) 5  D) 1  E) 2

Solution: Mother's age when Ayesha's brother was born = 32 years.   Father's age when Ayesha's brother was born = (40 + 6)= 
(40 + 6) = 46
46 years.   Required difference= (46 - 32)= 
(46 - 32) = 14
14 years.   Answer:14
Answer: B
150 125 60 120 95 60 70 ? ?	Options:
A) 25 15	B) 25 85	C) 35 25	D) 60 60	E) 20 75

Solution: 150-25= 
150-25 = 125
125   again 60   125-25=120   120-25= 
120-25 = 95
95   again 60   95-25= 
95-25 = 70
70   70-25=55   again 60   then answer is 60 ,60   ANSWER:60 60
Answer: D
Sales price is $91, gross profit is 160% of cost, what is the value of gross profit?	Choose the correct choice from the following answers
A) 32 B) 33 C) 39 D) 40 E) 56

Solution: Cost + Profit = Sales   Cost + (160/100)Cost = 91   Cost = 35   Profit = 91 - 35= 
91 - 35 = 56
56   Answer (56)
Answer: E
There are 9 baskets with pebbles in it.Every basket have pebbles weighing 1gm except one which has pebbles weighing 2gm.There is a weighing machine. Use the weighing machine only once and find which basket have pebbles that weigh 2gm? Answers: A) 9th B) 8th C) 6th D) 4th E) 5th

Solution: Take 1 pebble form 1st basket, 2 from 2nd, 3 from 3rd,...9 from the 9th basket and weigh them. If all the baskets contained 1gm pebbles the weight would have been 45 [ 1+2+3+..9 = 45]   Since 1 of the basket contains 2 gm pebbles the weight will be more than 45.   Subtract 45 from the weight to get the basket number.   ie   if the weight is 49   49 - 45= 
49 - 45 = 4
4   4th basket   ANSWER:4th
Answer: D
The five sides of a pentagon have lengths of 2, 3, 4, 5 and 6 inches. one pentagons are considered different only when the positions of the side lengths are different relative to each others. What is the total number of different possible pentagons that could be drawn using these five side lengths ? Choose the correct choice from the following options.
A) 5
B) 12
C) 24
D) 32
E) 120

Solution: CONCEPT: The number of ways to arrange n elements around a circular Manner is (n-1)!.   But the number of ways to arrange n elements in circular manner where the arrangement can be flipped around (e.g. Necklace, Garland, Bracelet) = (n-1)!/2.   The pentagon in the problem above can be flipped over (Clockwise Arrangement of Sides = Counter-clockwise arrangement), the number of distinct ways to arrange the 5 sides = (5-1)!/2 = 5.   5nswer: option 5
Answer: A
Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 4. What is the value of x?	Choose the correct choice from the following
A) 40  B) 100  C) 200  D) 400  E) 600

Solution: y = 0.5*0.5*x = x/4   y%*x = 4   (y/100)*x = 4   (x/400)*x = 4   x^2 = 4*400   x = 40   The answer is 40.
Answer: A
Tom, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 5 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?
Choose one:  A) 19/35  B) 23/42  C) 27/55  D) 31/63  E) 35/74

Solution: Tom paints 1/6 of the room in the first hour.   Tom and Peter paint 1/6+1/3 = 1/2 of the room in the next hour for a total of 4/6.   The three people then paint the remaining 2/6 in a time of (2/6) / (21/30) = 10/21 hours   Peter worked for 31/21 hours so he painted 31/21 * 1/3 = 31/63 of the room.   The answer is 31/63.
Answer: D
Kelly and Jody packed boxes with books. If Jody packed 60% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed?	Choose the most appropriate option: A) 1 to 6 B) 1 to 4 C) 2 to 5 D) 3 to 5 E) 2 to 3

Solution: Explanation:   If Jody packed 60% of the boxes then Kelly packed 40%. The ratio of the number of boxes Kelly packed to the number Jody packed is thus 40%/60%=2/3   Answer: Option 2 to 3
Answer: E
Six persons in an organization including A and B were to be divided in two groups of 3 members each. The total number of groups containing both A and B is what fraction of the total number of groups which can be formed?  Choose the correct choice from the following.
A) 3/10
B) 1/70
C) 3/14
D) 1/10
E) 11/14

Solution: The fraction is nothing but the probability..   Number to choose 3 out of 6= 6C3   Number to choose A and B and 2 from remaining 4=4C2..   prob of 3/10 and B choosen=4C2/6C3=3/10   3/10nswer : 3/10
Answer: A
A rectangular block 15cm by 30cm by 75cm is cut into an exact number of equal cubes. Find the least possible number of cubes?
Choose the correct choice: A) 6 B) 40 C) 15 D) 10 E) 22

Solution: Volume of the block = 15*30*75= 
15*30*75 = 33_750
33750 cm^3   Side of the largest cube= H.C.F of 15,30,75 = 15cm   Volume of the cube = 15*15*15= 
15*15*15 = 3_375
3375 cm^3   Number of cubes= 33750/3375= 
33750/3375 = 10
10   Answer is 10
Answer: D
The ratio between the speeds of two trains is 7 : 10. If the second train runs 400 kms in 8 hours, then the speed of the first train is
Select:
A) 35 km/h
B) 60 km/h
C) 45 km/h
D) 50km/h
E) 30 km/h

Solution: 35 km/h   35 km/h
Answer: A
The length of each side of square A is increased by 100 percent to make square B. If the length of the side of square B is increased by 40 percent to make square C, by what percent is the area of square C greater than the sum of the areas of squares A and B? Pick.
A) 75.00%  B) 56.80%  C) 110%  D) 150%  E) 180%

Solution: Let length of each side of square A be 10   Area of A = 10^2 = 100   Since , length of each side of square A is increased by 100 percent to make square 56.80%   length of each side of square 56.80% = 2*10= 
2*10 = 20
20   Area of 56.80%= 20^2 = 400   Since , length of the side of square 56.80% is increased by 40 percent to make square C   length of each side of square C= 1.4*20= 
1.4*20 = 28
28   Area of C= 28^2 = 784   Difference in areas of C and cummulative areas of A and 56.80% = 784 -(400+100)= 
784 -(400+100) = 284
284   percent is the area of square C greater than the sum of the areas of squares A and 56.80%= (284/500) * 100= 
(284/500) * 100 = 284/5 = around 56.8
56.80%   Answer 56.80%
Answer: B
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 R this college graduate has a graduate degree? Choose the correct option:	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 R of CG3/19 / (CG) -> 3/19   Answer 3/19
Answer: D
How many three letter words are formed using the letters of the word TIME?  Choices:
A) 25
B) 29
C) 25
D) 24
E) 23

Solution: The number of letters in the given word is four.   The number of three letter words that can be formed using these four letters is 4P3   = 4 * 3 * 2= 
4 * 3 * 2 = 24
24.   Answer: 24
Answer: D
3034−(1002÷20.04)=?
Select:
A) 1964
B) 1984
C) 2964
D) 2984
E) None of these

Solution: Explanation:   =3034−(1002/2004×100)   =3034−50=2984   Option 2984
Answer: D
If A's height is 20% less than that of B, how much percent B's height is more than that of A? Choose the correct choice from the following choices.
A) 66.66%  B) 66.68%  C) 66.766%  D) 86.66%  E) 25%

Solution: 25%xcess of B's height over A's = [(20/(100 - 20)] x 100%   = 25%   Answer: 25%)
Answer: E
A train 50 m long is running at the speed of 30 km / hr. Find the time taken by it to pass a man standing near the railway line in seconds	Select the correct option:
A) 5 sec
B) 6 sec
C) 7 sec
D) 8 sec
E) 3 sec

Solution: Explanation:   Speed of the train = (60 x 5/18m / sec = 50/3 m/ sec.   Distance moved in passing the standing man = 100 m.   Required time taken = 50/(50/3) = (50 Ã—(3/50)) sec =3 sec   Answer: Option 3 sec
Answer: E
Replace the ? by the correct Mathematics symbol to make the expression true
18 ? 12 ? 4 ? 5 = 59  Choose the correct choice from the following answers:
A) 18 ÷ 12 x 4 - 5 = 59	B) 18 + 12 ÷ 4 - 5 = 59	C) 18 x 12 + 4 - 5 = 59	D) 18 x 12 ÷ 4 + 5 = 59	E) 18 x 12 ÷ 4 - 5 = 59

Solution: 18 x 12 ÷ 4 + 5 = 59
Answer: D
Braun invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Braun got back 2 times his original investment. What is the value of n?  Choose the correct choice.
A) 50 years  B) 25 years  C) 12 years 6 months  D) 37 years 6 months  E) 40 years

Solution: Explanatory Answer   Let us say Braun invested $100.   Then, at the end of 'n' years he would have got back $200.   Therefore, the Simple Interest earned = 200 - 100= 
200 - 100 = 100
$100.   We know that Simple Interest= (Principal * number of years * rate of interest) / 100   Substituting the values in the above equation we get 100 = (100 * n * 8) / 100   Or 8n = 100   Or n = 12.5years.   correct choice is (12 years 6 months)
Answer: C
What percent is 120 of 60?
Choose the correct choice:	A) 133 1/3 %	B) 134 1/3 %	C) 200 %	D) 140 1/3 %	E) 143 1/3 %

Solution: 120/60= 
120/60 = 2
2/1   2 × 100= 200 %   200 %
Answer: C
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?	Pick
A) 327  B) 350  C) 276  D) 287  E) 261

Solution: Speed = 300/18 = 50/3 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/39 = 50/3   3x + 900 = 1950 => x = 350 m.   Answer: 350
Answer: B
If six thousand six hundred and six dollar is written as $6,606, then write eleven thousand eleven hundred and eleven dollars.
Choose the correct choice.
A) $12,118 B) $12,119 C) $12,110 D) $12,115 E) $12,111

Solution: $12,111   $12,111
Answer: E
If x > y and y > z, which of the following represents the greatest number W?  Choices.
A) x − z	B) x − y	C) y − x	D) z − y	E) z − x

Solution: Because x>y>z   thus W=x- z wil lbe greatest   x − zns: x − z
Answer: A
A certain car can travel 40 minutes on a gallon of gasoline at 50 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?	Choose the most appropriate option.
A) 15%
B) 20%
C) 25%
D) 30%
E) 40%

Solution: Let, Tank capacity = T gallon   Used Fuel = (T-8) gallons   Distance Travelled (@50 miles/hr) = 80 miles   Distance travelled in 1 gallon = Distance travelled in 40 mins (@50 miles/hr) = (50/50)*40= 
(50/50)*40 = 40
40 miles   Fuel used to travel 80 miles= (80/40)= 
(80/40) = 2
2 gallon   i.e. Used fuel= (T-8) = 2 gallon   i.e. T = 10 Gallons   i.e. Used Fuel = (2/10)*100= 
(2/10)*100 = 20
20%   20%
Answer: B
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number.	Choose one
A) 2:5	B) 2:7	C) 5:7	D) 5:3	E) None of these

Solution: Explanation:   Let the first number is A and second number is B.   As per question   40/100A=2/3B   A/B=2/3∗100/40   A/B=5/3   =>A:B=5:3   Option 5:3
Answer: D
A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 6 days before the completion of the work. In how many days was the work completed? Answers
A) 12 days B) 16 days C) 18 days D) 11.5 days E) 38 days

Solution: One day work of A, B and C = 1/24 + 1/30 + 1/40 = 1/10 Work done by A and B together in the last 6 days = 6*(1/24 + 1/30) = 9/20   Remaining work = 11/20   The number of days required for this initial work = 5.5 days.   The total number of days required = 6 + 5.5= 
6 + 5.5 = 11.5
11.5 days.Answer: 11.5 days
Answer: D
In the infinite sequence 10, 15, 20, 25, 30, . . . , where each term is 5 greater than the previous term, the 32th term is Choose the correct choice from the following choices
A) 183
B) 178
C) 165
D) 139
E) 179

Solution: T(n) = a + (n-1) d   Here d =5, a=10, n=32   Solving we get T(n) = 165.   Answer: 165
Answer: C
What will be the reminder when (27^27+27) is divided by 28?  Choose the correct option:
A) 92	B) 43	C) 71	D) 26	E) 31

Solution: (x^n+1) will be divisible by (x+1) only when n is odd;   (27^27+1) will be divisible by (27+1);   (27^27+1)+26 when divided by 28 will give 26 as remainder.   Correct Option : 26
Answer: D
A certain sum becomes four times itself at simple interest in eight years. In how many years does it become ten times itself?  Pick:
A) 66 years B) 88 years C) 99 years D) 44 years E) 24 years

Solution: Let the sum be Rs. x, then it becomes Rs. 4x in eight years Rs. 3x is the interest on x for eight years.   R = (100 * 3x)/(x * 8) = 300/8 %   If the sum becomes ten times itself, then interest is 9x.   The required time period = (100 * 9x)/(x * 300/8) = (100 * 9x * 8)/(x * 300) = 24 years.Answer: 24 years
Answer: E
If x is an integer, then x(x – 1)(x – k) must be evenly divisible by six when k is any of the following values EXCEPT
Choose one:
A) -4  B) -2  C) -1  D) 2  E) 5

Solution: We have the product of 3 integers: (x-1)x(x-k).   Note that the product of 3 integers is divisible by 6 if at least one multiple is divisible by 6. Now, to guarantee that at least one integer out of x, (x – 1), and (x – k) is divisible by 6 these numbers must have different remainders upon division by 3, meaning that one of them should have remainder of 1, another reminder of 2 and the last one remainder of 0, so be divisible by 6.   Next, if k=2 then we'll have (x-1)x(x-2)=(x-1)x(x-2) --> which means that (x-1) and (x-2) will have the same remainder upon division by 6. Thus for k=2 we won't be sure whether (x-1)x(x-k) is divisible by 6.   Answer: 2.
Answer: D
8 people decided to split the restaurant bill evenly. If the bill was $214.18 dollars, how much money did they 1 cent is the smallest unit? Choose the most appropriate option:
A) $214.16	B) $214.17	C) $214.18	D) $214.19	E) $214.24

Solution: If the last three digits of a whole number are divisible by 8, then the entire number is divisible by 8   the last 3 digit 418 not divisible by a   Hence, we need to add 6 to this number for it to be divisible by 8   Correct Option: $214.24
Answer: E
Ravi's average (arithmetic mean) test score on 4 tests is 78. What must be the student's score on a 5th test for the Ravi's average score on the 5 tests to be 80?  Choose the correct choice from the following answers:
A) 80
B) 82
C) 84
D) 86
E) 88

Solution: E. 88   Ravi must score at least an 80 for sure. If he scores an 8, then he will need to score 2 pots for each of the 4 other tests tomake upthe difference. They each were at 78 (at least the average is, but this is a small point and doesn't matter to the answer). So 4 tests that were each 2 points short of the 80 average that is desired means the next test must be 8 points higher than the desired average, so  80+8= 
 80+8 = 88
88.
Answer: E
Potatoes are made up of 99% water and 1% potato matter. Jack bought 100 pounds of potatoes and left them outside in the sun for a while. When he returned, he discovered that the potatoes had dehydrated and were now only made up of 98% water. How much did the potatoes now weigh? Pick:  A) 50 pounds  B) 80 pounds  C) 90 pounds  D) 100 pounds  E) 60 pounds

Solution: initially water weigh 99 pounds & patato matter weigh 1 pound.   after dehydration   water = 98%   => potato matter = 2% = 1 pound   100% = (1/2) * 100= 
(1/2) * 100 = 50
50 pounds   So, potato now weigh 50 pounds.   50 poundsNSWER:50 pounds
Answer: A
Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?	Choose the correct choice from the following options:
A) 15 min  B) 10 min  C) 17 min  D) 20 min  E) 30 min

Solution: D   10 min   Due to stoppages, it covers 9 km less.   Time taken to cover 9 km = 9/54 * 60= 
9/54 * 60 = 10
10 min.
Answer: D
if x:y = 1:3, then find the value of
(7x+3y):(2x+y) Answers:
A) 14:5
B) 15:5
C) 16:5
D) 17:5
E) None of these

Solution: Explanation:   let x = 1k and y = 3k, so   =7(k)+3(3k)/ 2(k)+1(3k)   =16k/5k   =16:5   Option 16:5
Answer: C