MU-NLPC/Calc-aqua_rat huggingface dataset:
In x-y plane, there is a right triangle ABC (∠B=90o). If the length of AC is 25 and the slope of line segment AC is 4/3, what is the length of AB? Choose one:
A) 12 B) 18 C) 24 D) 20 E) 40

Solution: Slope = Change in Vertical 20irection/Change in Horizontal 20irection = 4/3   Change in Vertical 20irection = 4x = AB   Change in Horizontal 20irection = 3x = BC   AB^2 + BC^2 = 25^2   16x^2 + 9x^2 = 625   25x^2 =625   x^2 = 25   x = 5   Therefore AB = 5*4= 
5*4 = 20
20   Answer: 20
Answer: D
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of four rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other after___ minutes?	Pick one.
A) 11 min
B) 12 min
C) 10 min
D) 15 min
E) 20 min

Solution: Since A and B move in the same direction along the circle, so they will first meet each other when there is a difference of one round between the two.   Relative speed of A and B = 4 - 1= 
4 - 1 = 3
3 rounds per hour.   Time taken to complete one round at this speed= 1/3 hr = 20 min.   20 min
Answer: E
Working alone at its constant rate, pump A pumped out ¼ of the water in a tank in 2 hours. Then pumps B and C started working and the three pumps, working simultaneously at their respective constant rates, pumped out the rest of the water in 3 hours. If pump B, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water, how many hours would it have taken pump C, working alone at its constant rate, to pump out all of the water that was pumped out of the tank?  Answers
A) 6  B) 12  C) 15  D) 18  E) 24

Solution: Rate of pump A = 1/8   3 hours are required to pump out the remaining (3/4)ths of tank --> 1 hr to pump out 1/4   Rate of A + Rate of B + Rate of C = 1/4   Rate of B + Rate of C = 1/4 - 1/8 = 1/8   B takes 18 hours to pump out the remaining (3/4)ths of tank --> 6 hrs per (1/4)ths --> 24 hrs to pump out fully.   Rate of 12 = 1/24   1/24 + Rate of C = 1/8   Rate of C = 1/8 - 1/24 = 1/12   Time required to pump out all the water by C = 12 hrs   Answer: 12
Answer: B
A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4&5 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY4?
A)
B)
C)
D)
E)	Choose the correct choice from the following answers: A) 1/5 B) 5/6 C) 4/5 D) 7/3 E) 2/7

Solution: FOLLOW SEND PM   Re: A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4&5 WITH OUT R [#permalink] Post 08 Oct 2010, 05:15   Bookmark   this post   anilnandyala wrote:   A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4&5 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY4?   A)1/5   B)5/6   C)4/5   D)7/3   E)2/7   P = Number of desired outcomes / number of possible outcomes   Number of desired outcomes:   To be divisible by 4, the number has to end with the last two digits forming a number divisible by 4. Given the numbers in the question this leaves us with:   12   24   32   52   For each of them I now have to put the remaining numbers in front: 3x2x1 --> 6 combinations for each number set = 6x4 (we have 4 sets from above) = 24   Number of possible outcomes:   The total number of possibilities to form a 5 digit number from the question= 5x4x3x2x1=120   P = 24/120 = 1/5 --> 1/5
Answer: A
In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 48 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?	Pick:	A) 36	B) 2^4*3	C) 24	D) 38	E) 47

Solution: Working backward from the day it's covered:   day 48: fully covered   day 47: half covered   So 47 days   ANSW47R:47
Answer: E
Find large number from below question 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	Choose the correct choice.
A) 1234  B) 1435  C) 1456  D) 1567  E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 15   5x = 1350   x = 270   Large number = 270+1365= 
270+1365 = 1_635
1635   1635
Answer: E
20 beavers, working together in a constant pace, can build a dam in 3 hours. How many B hours will it take 12 beavers that work at the same pace, to build the same dam?  Choose the correct choice.
A) 2.  B) 4.  C) B=5.  D) B=6.  E) B=8.

Solution: C. 5 hrs   If there were 10 beavers it could have taken double B= 6hrs.. so closest to that option is 5.B=5.
Answer: C
A train running at the speed of 54 km/hr crosses a pole in 9 seconds. What is the length of the train? Choose the correct option
A) 135
B) 278
C) 255
D) 150
E) 287

Solution: Speed=(54 * 5/18) m/sec = (15) m/sec Length of the train   = (Speed x Time) = (15 * 9)= 
(15 * 9) = 135
135 m.   135nswer:135
Answer: A
How many different sets of positive square integers K, each greater than 1, add up to 75?
Pick: A) 1 B) 4 C) 7 D) 11 E) 13

Solution: 13 = 13 is the correct answer.
Answer: E
A can do a piece of work in 25 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
Choose the most appropriate option
A) 19 1/3 days
B) 10 1/3 days
C) 13 1/3 days
D) 15 1/3 days
E) 13 2/3 days

Solution: (x – 5)/25 + x/20 = 1   x = 13 1/3 days   ANSWER:13 1/3 days
Answer: C
A train running at the speed of 142 km/hr crosses a pole in 12 seconds. Find the length of the train. Pick one:	A) 540	B) 288	C) 200	D) 340	E) 712

Solution: Speed = 162*(5/18) m/sec = 45m/sec   Length of Train (Distance) = Speed * Time     45 * 12= 
  45 * 12 = 540
540 meter   540nswer: 540
Answer: A
4 bells first begin to toll together with anintervals of 5,10,15 & 20 sec. How many times does they toll together in an hr?	Choices
A) 50	B) 60	C) 67	D) 78	E) 98

Solution: 5|5, 10, 15, 20   2|1, 2, 3, 4   |1, 1, 3, 2   L.C.M of 5, 10, 15, 20 is 60   60 times   60
Answer: B
A tradesman by means of his false balance defrauds to the extent of 50%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choose the correct choice from the following options:
A) 149%
B) 125%
C) 130%
D) 175%
E) 143%

Solution: g% = 50 + 50 + (50*50)/100= 
50 + 50 + (50*50)/100 = 125
125%   Answer: 125%
Answer: B
Which of the following inequalities is equivalent to -24 > -4 - 10x?	Choose the correct choice from the following.
A) x < 1  B) x < 2  C) x < 3  D) x < 4  E) x < 5

Solution: You can work with the inequality in the same way as you do when you have the equal to sign. You can take terms to the other side by flipping their sign, you can multiply/divide the inequality by the same term on both sides of the equation etc.   The only important thing to note is the following:   When you multiply/divide by a negative number, the sign of the inequality flips.   To illustrate,   -24 > -4 - 10x   -20 > - 10x (Correct)   2 > x (Correct)   the correct option is x < 2
Answer: B
A company hired a printer to produce a total of x + 1 envelopes. The job consisted of two types of envelopes, 2¢ envelopes and 7¢ envelopes. If the company requested 3 more 2¢ envelopes than 7¢ envelopes, which of the following expressions denotes the cost, in cents, of the total x + 1 envelopes ? Choose the correct choice from the following choices.
A) (7x-20)/2
B) 2x+22
C) 5x+7
D) (6x+14)/2
E) 5x-7

Solution: We can take   X+1 = 9   X= 8   So 2c envelopes will be 6   and 7c envelopes will be 3   So total cost will be 33   Then that is our target   Plug x =8 in answer choices   Only 5x-7 works   Correct Answer : 5x-7
Answer: E
A person can go from place “P” to “Q” by 7 different modes of transport, but is allowed to return back to “P” by any mode other than the one used earlier. In how many different ways can he complete the entire journey? Choose the correct option:
A) 42 B) 55 C) 77 D) 29 E) 10

Solution: Explanation:   The person can travel from “P” to “Q” in any of the 7 different modes of transport. However, while returning, he cannot use the mode which he used earlier. Thus, while returning, he has the option of only 6 different modes of transport. Hence, the total number of ways would be   7 * 6= 
  7 * 6 = 42
42.   42NSWER: 42
Answer: A
6) A marketing firm determined that , of 160 households surveyed, 80 used neither Brand A nor Brand B soap.60 used only Brand A soap and for every household that used both brands of soap, 3 used only brand B soap.how many of the 200 household surveyed used both brands of soap? Choose one:
A) a) 15	B) b) 20	C) c) 30	D) d) 40	E) e) 5

Solution: 80 = At least one of Soap A or B   Both brands = x   Brand B = 3x   => 60 + x + 3x = 120   => 4x = 20   => x = 5   Answer - e) 5
Answer: E
Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?
Choose the correct option:
A) Rs. 10	B) Rs. 10.40	C) Rs. 15.20	D) Rs. 13	E) Rs. 14

Solution: given TD=20, S=260 from these we can know PW=S-TD=260-20= 
260-20 = 240
240   given TD for sum is 20   SI on PW is TD=>SI on 240 is 20   now given TD is half of the former time   => SI on 240 is 10   => TD on 250(i.e 240+10) is 10 (since given TD on sum=PW+TD is half the former time)   => TD on 260=(10/250)*260= 
(10/250)*260 = 52/5 = around 10.4
Rs10.40   ANSWER:Rs. 10.40
Answer: B
A case contains c cartons. Each carton contains b boxes, and each box contains 300 paper clips. How many paper clips are contained in 2 cases?
Choose the correct choice from the following:  A) 300bc  B) 300b/c  C) 600bc  D) 600b/c  E) 600/bc

Solution: 2 cases * c cartons/case * b boxes/carton * 300 clips/box = 600bc paper clips   The answer is 600bc.
Answer: C
55 word in the arrangement of letter PERFECT?  Choose the correct choice from the following options.
A) CEPFERT  B) CEPFERS  C) CEPFERT  D) CEPFERJ  E) CEPFERG

Solution: arrange in ascending order CEEFPRT   CEE4*3*2*1= 
4*3*2*1 = 24
24   CEF4*3*2*1= 
4*3*2*1 = 24
24   CEPE 3*2*1= 
 3*2*1 = 6
6   24+24+6= 
24+24+6 = 54
54   next word will be CEPFERT   CEPFERTNSWER:CEPFERT
Answer: A
The length of a rectangular floor is more than its breadth by 200%. If Rs.450 is required to paint the floor at the rate of Rs. 5 per sq m, then what would be the length of the floor?	Select.
A) 65 B) 44 C) 21.21 D) 16 E) 14

Solution: Let the length and the breadth of the floor be l m and b m respectively.   l = b + 200% of b = l + 2b = 3b   Area of the floor = 450/3= 
450/3 = 150
150 sq m   l b= 150 i.e., l * l/3 = 150   l2 = 450 => l =21.21   Answer:21.21
Answer: C
A train is moving at a speed of 132 km/hr. If the length of the train is 100 meters, how long will it take to cross a railway platform 175 meters long
Choose the correct choice from the following answers.
A) 6 ½ sec	B) 7 ½ sec	C) 8 sec	D) 8 ½ sec	E) 9 sec

Solution: Explanation:   Speed of train = 132 ×(5/18) m/sec = 110/3 m/sec.   Distance covered in passing the platform = (100 + 175)= 
(100 + 175) = 275
275 m.   Time taken=275 ×(3/110) sec =15/2 sec = 7 ½ sec   Answer: Option 7 ½ sec
Answer: B
A and B go cycling in the same direction with speeds of 6 km/hr and 12 km/hr. A car from behind passes them in 9 and 10 seconds respectively. What is the speed of the car?  Choose the correct choice from the following:
A) 96 km/hr
B) 66 km/hr
C) 68 km/hr
D) 26 km/hr
E) 46 km/hr

Solution: The relative speed of A and B is 6 km/hr = 1.67 m/s   As the car passes A after 10s, the distance between A and B after 10s (i.e. at 11th second) is the distance covered by car in 1 second.   Therefore, at t = 11, d = 1.67 * 11   d = 18.33 m   v = d/t = 18.33/1= 
18.33/1 = 18.33
18.33m/s   v= 66 km/hr   ANSWER: 66 km/hr
Answer: B
What is the capacity of a cylindrical tank?
I. Radius of the base is half of its height which is 28 metres.
II. Area of the base is 616 sq. metres and its height is 28 metres.	Choose the correct option:
A) I alone sufficient while II alone not sufficient to answer
B) II alone sufficient while I alone not sufficient to answer
C) Either I or II alone sufficient to answer
D) Both I and II are not sufficient to answer
E) Both I and II are necessary to answer

Solution: EXPLANATION   I gives, h = 28 m and r = 14.   Capacity = r2h, which can be obtained.   Thus, I alone gives the answer.   II gives, r2 = 616 m2 and h = 28 m.   Capacity = (r2 x h) = (616 x 28) m3.   Thus, II alone gives the answer.   Either I or II alone sufficient to answerorrect answer is (Either I or II alone sufficient to answer).
Answer: C
A company, Chauncy Co., has an annual travel budget of $52,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?  Choose one:  A) Expenses will not go over the budget.  B) $500  C) $8,725  D) $5,725  E) $60,725

Solution: annual travel budget of $52,000   Let, Transportation expenses = T = 19500   and Non-Transportation expenses = N=35000   i.e. Increased Transportation expenses = 1.05T = 20475   and Increased Non-Transportation expenses = 1.15N = 40250   Total Expense = 20475+40250= 
20475+40250 = 60_725
60725   Expense over Budget= Budget - expense = 52000-60725 = 8725   Answer: Option $8,725
Answer: C
Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 6 inches on a side and costs $10, and a large pizza that measures 9 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone? Choices: A) 9 square inches B) 10 square inches C) 15 square inches D) 25 square inches E) 350 square inches

Solution: In the first case each can buy one pizza of $10 and one pizza of $20.   In square inches that would be (6*6=36) for the small pizza and (9*9=81) for the large pizza. In total sq inches that would be  (36+81)*2= 
 (36+81)*2 = 234
234 sq inches.   In the second case if they pool their money together they can buy 3 large pizzas. In terms of square inches that would be   3*81= 
  3*81 = 243
243 sq inches.   Hence, the difference is 9 square inches more (243-234).   The correct answer is 9 square inches
Answer: A
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?	Select:
A) 22 B) 288 C) 36 D) 88 E) 91

Solution: Speed of train relative to jogger = 45 - 9= 
45 - 9 = 36
36 km/hr.= 36 * 5/18= 
36 * 5/18 = 10
10 m/sec.   Distance to be covered= 240 + 120= 
240 + 120 = 360
360 m.   Time taken= 360/10= 
360/10 = 36
36 sec.   Answer:36
Answer: C
The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?  Pick:
A) 18%
B) 11%
C) 88%
D) 45%
E) 12%

Solution: 1500 ---- 270   100 ---- ? => 18%   18%nswer:18%
Answer: A
The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)? Choose one:
A) 23.52 B) 23.57 C) 23.2 D) 23.21 E) 23.13

Solution: Let the side of the square be a cm.   Parameter of the rectangle = 2(16 + 14) = 60 cm Parameter of the square = 60 cm   i.e. 4a = 60   A = 15   Diameter of the semicircle = 15 cm   Circimference of the semicircle   = 1/2(∏)(15)   = 1/2(22/7)(15) = 330/14 = 23.57 cm to two decimal places   Answer: 23.57
Answer: B
.
On dividing a number by 357, we get 36 as remainder. On dividing the same number 17, what will be the remainder ?
Answers:
A) 0 B) 3 C) 5 D) 8 E) 2

Solution: Let x be the number and y be the quotient. Then,   x = 357 x y + 36   = (17 x 21 x y) + (17 x 2) + 2   = 17 x (21y + 2) + 2)   Required remainder = 2.   Answer: Option 2
Answer: E
A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?  Choose the most appropriate option
A) 29	B) 18	C) 48	D) 99	E) 11

Solution: D = 540 + 180= 
540 + 180 = 720
720   S= 54 * 5/18= 
54 * 5/18 = 15
15 mps   T= 720/15= 
720/15 = 48
48 sec   Answer: 48
Answer: C
Which of the following expressions CANNOT be equal to 0 when x^2 − 3x = 18 ?
Choose the correct choice from the following answers.
A) x^2 − 4x −12
B) x^2 − x − 12
C) x^2 − 3x = 18
D) x^2 − 5x − 6
E) x^2 − 4x − 21

Solution: x^2 − 3x = 18   x^2 − 3x - 18= 0   x= 6 or x= -3   All other choices result in a possibility of 0 when you plug in 6 or -3 for x   Except x^2 − 3x = 18   Answer is x^2 − 3x = 18
Answer: C
A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning? Pick:
A) 16	B) 17	C) 18	D) 20	E) 19

Solution: Let the average after the 16th inning be P.   So, the average after the 15th inning will be (P-3) Hence, 15(P-30) + 64 = 16P => P = 19.   Answer 19
Answer: E
What approximate value should come in place of the question mark (?) in the following equation?
1.542 × 2408.69 + 1134.632 = ?  Choose the correct option:
A) 4600 B) 4800 C) 5200 D) 6400 E) 3600

Solution: Explanation 3700 + 1100= 
3700 + 1100 = 4_800
4800   Answer 4800
Answer: B
A watch was sold at a loss of 12%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?  Choose the correct option:  A) 1000  B) 875  C) 799  D) 778  E) 901

Solution: 88%   104%   --------   16% ---- 140   100% ---- ? => Rs.875   Answer: 875
Answer: B
Find the odd man out
30, 60, 90, 120, 150, 168, 180, 210
Options.
A) 31
B) 41
C) 168
D) 58
E) 61

Solution: as 168 is only odd number.   ANSWER:168
Answer: C
What is the place value of 2 in the numeral 2359 Choose the correct answer:
A) 2500  B) 2000  C) 3500  D) 3000  E) 4000

Solution: Option '2000'    2 * 1000= 
 2 * 1000 = 2_000
2000
Answer: B
How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?
Choose the correct choice from the following options:	A) 5^7	B) 5^6	C) 5^9	D) 5^8	E) 5^5

Solution: _ _ _ _ _ _ _ _ _ (9 digit number)   Digits that can be used = 1, 2, 3, 4 and 5   For a number to divisible by 4, the last two digits have to be divisible by 4   So, the units digit cannot be 1, 3 or 5   If the units digit is 2, only 12, 32 adn 52 are acceptable as the last two digits   If the units digit is 4, only 24 and 44 are acceptable as the last two digits.   So, total 5 cases 12,24,32,44,52 are possible for the last two digits.   Now, the first 7 digits of the 9 digit number can be filled in 5^7 ways as each place can be filled by 1, 2, 3, 4 or 5.   So, desired answer = 5^7*5 = 5^8   ANSWER:5^8
Answer: D
A farmer planned to plough a field by doing 120 hectares a day. After two days of work he increased his daily productivity by 25% and he finished the job two days ahead of schedule.
a) What is the area of the field?
b) In how many days did the farmer get the job done?
c) In how many days did the farmer plan to get the job done?  Choose the correct answer:
A) 2337
B) 2667
C) 1440
D) 2887
E) 2661

Solution: First of all we will find the new daily productivity of the farmer in hectares per day: 25% of 120 hectares is 25100⋅120=3025100⋅120=30 hectares, therefore 120+30=150120+30=150 hectares is the new daily productivity. Lets x be the planned number of days allotted for the job. Then the farm is 120⋅x120⋅x hectares. On the other hand, we get the same area if we add 120⋅2120⋅2 hectares to 150(x−4)150(x−4) hectares. Then we get the equation   120x=120⋅2+150(x−4)120x=120⋅2+150(x−4)   x=12x=12   So, the job was initially supposed to take 12 days, but actually the field was ploughed in  12 - 2= 
 12 - 2 = 10
10 days. The field's area is 120⋅12=1440120⋅12=1440 hectares.   Answer:1440
Answer: C
In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue?
Choose one
A) 2 balls.
B) 3 balls.
C) 4 balls.
D) 5 balls.
E) 6 balls.

Solution: Let us first find the fraction of green, blue and yellow balls   1/4 + 1/8 + 1/12 = 6 / 24 + 3 / 24 + 2 / 24 , common denominator   = 11 / 24 , add numerators   The fraction of white balls is given by   24 / 24 - 11 / 24 = 13 / 24   So the fraction 13 / 24 corresponds to 26 balls. If x is the total number of balls then   (13 / 24) of x = 26 balls   or (13 / 24) * x = 26   x = 26 * (24 / 13)= 
26 * (24 / 13) = 48
48 , total number of balls   The fraction of blue balls is 1 / 8 of x. The number of blue balls is given by   (1 / 8) of 48= 6 balls.   correct answer 6 balls.
Answer: E
Raju age after 20 years will be 5 times his age 5 years back, What is the present age of Raju  Select the correct option:
A) 11.25
B) 17.32
C) 10
D) 77.01
E) 66

Solution: Clearly,   x+20 = 5(x-5)   <=> 4x = 45 => x = 11.25   11.25nswer:11.25
Answer: A
6th March, 2005 is Monday, what was the day of the week on 6th March, 2004 Select the correct option:
A) wednessday
B) Thursday
C) Friday
D) Saturday
E) Sunday

Solution: Number of days from 6th March, 2004 to 5th March 2005 = 365 days   Feb 2004 has 29 days ( leap year),   365 days = 1 odd day   Given that 6th March, 2005 is Monday   Hence 6th March, 2004 = (Monday - 1 odd day) = Sunday   Answer : Sunday
Answer: E
A square, with perimeter 40, is inscribed in a circle. What is the area of the circle? Pick one:	A) 50π	B) 40π	C) 30π	D) 25π	E) 35π

Solution: 50πrea of circuscribed circle = pi/2*area of square   50πrea of square = (40/4)^2 = 10^2= 100   50πrea of circle = pi/2*100=50pi   50πnswer : 50π
Answer: A
Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.63000 after completion of one year. What will be Jose's share of profit? Choose the correct choice from the following choices.
A) 20000
B) 22000
C) 35000
D) 24000
E) 30000

Solution: SoL = ~s- So Anju’s share = [5/9] x 63000 = 35000   35000
Answer: C
An investment of d dollars at k percent simple annual interest yields $100 over a 2 year period. In terms of d, what dollar amount invested at the same rate will yield $500 over a 1 year period? Choose the correct choice from the following
A) (2d)/3
B) 10d
C) (4d)/3
D) (3d)/2
E) (8d)/3

Solution: 100 dollars in 2 years means 50 dollars in 1 year.   To get 500 dollars' it will take 10 years.   To get 500 in 1 years, we need 10/1= 
10/1 = 10
10 times money. Answer is 10d
Answer: B
A shopkeeper sold an article for 240 after giving 20% discount on the labelled price and made 20% profit on the cost price. What would have been the percentage profit,had he not given the discount’? Pick one:
A) 25%	B) 50%	C) 23%	D) 28%	E) None of these

Solution: Cost price = 240×100/120= 200   S.P. at no discount = 240×100/80 = 300   ∴ % profit = 100×100/200 = 50 %   Answer 50%
Answer: B
During a clearance sale, a retailer discounted the original price of its TVs by 22% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay? Answers.
A) 40%
B) 45%
C) 55%
D) 63%
E) 62.5%

Solution: VERITAS PREPOFFICIAL SOLUTION:   D. With percent problems, the key is often to make sure that you take the percent of the correct value. In this case, the initial 25% off means that customers will pay 75% of the original price. Then for the second discount, keep in mind that the discount is taken off of the sale price, not of the original price. So that's 20% off of the 75% that they did pay, which can be made easier by looking at what the customer does pay: 80% of the 75% sale price. Using fractions, that means they pay: 4/5*(3/4) of the original price, which nets to 3/5 of the original price, or 63%.
Answer: D