MU-NLPC/Calc-aqua_rat huggingface dataset:
One hour before John started walking from P to Q, a distance of 33 miles, Ann had started walking along the same road from Q to P. Ann walked at a constant speed of 3 miles per hour and John at 2 miles per hour. How many miles had Ann walked when they met? Choose the correct choice from the following
A) 6 miles	B) 8,4 miles	C) 9 miles	D) 9,6 miles	E) 21 miles

Solution: Ann walks from Q to P at a speed of 3 miles/hr for one hour. She covers 3 miles in 1 hour and now distance between John and Ann is   33 - 3= 
  33 - 3 = 30
30 miles.   Ann walks at 3 mph and John at 2 mph so their relative speed is   3+2= 
  3+2 = 5
5 mph.   They have to cover 30 miles so it will take them  30/5= 
 30/5 = 6
6 hours to meet.   In 6 hrs, Ann would have covered 6 hrs * 3 miles per hour= 18 miles.   Adding this to the 3 miles she covered before John, Ann covered a total of 3 + 18= 
3 + 18 = 21
21 miles.   Answer (21 miles)
Answer: E
What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x Select: A) 2643 B) 5464 C) 3456 D) 7554 E) 3158

Solution: 12   12 × 3 + 2 = 38   38 × 3 + 2 = 116   116 × 3 + 2 = 350   350 × 3 + 2 = 1052   1052 × 3 + 2 = 3158   3158
Answer: E
A certain clock marks every hour by striking a number of times equal to the hour,and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 55 seconds. at 12:00 ,how many seconds elapse between the beginning of the first stroke and the end of the last stroke? Options:
A) A.72 B) B.115 C) C.48 D) D.46 E) E.44

Solution: At 6:00 it'll chime 6 times. If we assume that the time taken to chime is x, then time between chimes is also x. So you have 6 chimes, which is 6x and 5 time intervals between chimes. This means that 11x = 55 seconds. Thus x = 5 seconds.   By a similar logic, at 12:00, there are 12 chimes and 11 intervals so the total time is   (12+11)= 
  (12+11) = 23
23x= 115 seconds.   Answer B.115
Answer: B
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 894 in 4 years. The sum is:  Answers.
A) s. 650  B) s. 690  C) s. 698  D) s. 700  E) s. 578

Solution: S.I. for 1 year = Rs. (894 - 815) = Rs. 79.   S.I. for 3 years = Rs.(79 x 3) = Rs. 237.   Principal = Rs. (815 - 237) = Rs. 578.   Answer: Option s. 578
Answer: E
The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?	Choose one.
A) 7m B) 8m C) 3m D) 2m E) 4m

Solution: Let the sides of the rectangle be l and b respectively.   From the given data,   (√l2 + b2) = (1 + 108 1/3 %)lb   => l2 + b2 = (1 + 325/3 * 1/100)lb   = (1 + 13/12)lb   = 25/12 lb   => (l2 + b2)/lb = 25/12   12(l2 + b2) = 25lb   Adding 24lb on both sides   12l2 + 12b2 + 24lb = 49lb   12(l2 + b2 + 2lb) = 49lb   but 2(l + b) = 28 => l + b = 14   12(l + b)2 = 49lb   => 12(14)2 = 49lb   => lb = 48   Since l + b = 14, l = 8 and b = 6   l - b = 8 - 6= 
8 - 6 = 2
2m.   Answer: 2m
Answer: D
A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 23 inches, how many inches of framing material does the carpenter need to frame the painting? Choose the correct choice
A) 12 B) 22 1/2 C) 37 1/2 D) 50 E) 29

Solution: (23/2) ( 2+3) * 2 = 29 =29
Answer: E
The perimeter of a triangle is 22 cm and the inradius of the triangle is 3.5 cm. What is the area of the triangle?
Choose one:	A) 22	B) 35	C) 77	D) 54	E) 38

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle = 3.5 * 22/2= 
3.5 * 22/2 = 38.5
38.5 cm2   Answer:38
Answer: E
A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 70% total profit if he has already sold one of the four cars at Rs. 1.2 lakh?  Choose the correct option:
A) 1.8 lakh
B) 1.3 lakh
C) 1.9 lakh
D) 8.1 lakh
E) 6.1 lakh

Solution: Explanation:   Total cost of 4 cars = 1+2= 
1+2 = 3
3 lakh   Total SP of 4 cars= 3 x 1.7 = 5.1 lakh   SP of 1 car = 1.2 lakh   SP of rest 3 cars = 5.1 - 1.2= 
5.1 - 1.2 = 3.9
3.9 lakh   Average SP of all the 3 cars= 1.3 lakh   Answer: 1.3 lakh)
Answer: B
A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 12% microphotonics; 24% home electronics; 15% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research? Select the correct option: A) 43° B) 10° C) 18° D) 36° E) 52°

Solution: Here all percentage when summed we need to get 100% . As per data  12+24+15+29+8= 
 12+24+15+29+8 = 88
88%.   So remaining 12% is the balance for the astrophysics.   Since this is a circle all percentage must be equal to 360 degrees.   100% ---- 360 degrees   Then 12% will be 43 degrees..   IMO option 43°.
Answer: A
Calculate the percentage gain if a trader bought a bicycle for Rs.640 and sold it for Rs.720? Pick:  A) 14.5%  B) 11.5%  C) 15.5%  D) 12.5%  E) 18.5%

Solution: C.P. = 640   S.P. = 720   Gain = 720-640 ---- 80   % Gain => 80/640*100= 
80/640*100 = 25/2 = around 12.5
> 12.5%   Answer:12.5%
Answer: D
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
Choices:
A) 1:2
B) 2:3
C) 3:4
D) 3:5
E) 4:5

Solution: Req = 60:90 = 2:3   ANSWER 2:3
Answer: B
A tank with a volume of 30 cubic feet has one inlet pipe and 2 outlet pipes. The inlet pipe fills water into the tank at the rate of 5 cubic inches/min and the 2 outlet pipes empty it out at the rates of 9 cubic inches/min and 8 cubic inches/min respectively. If all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? (1 foot = 12 inches)	Choose the correct option:
A) 1440	B) 2340	C) 3240	D) 4320	E) 5420

Solution: The tank is emptied at this rate: 9 + 8 - 5= 
9 + 8 - 5 = 12
12 cubic inches/min   The tank has a volume of  30*12*12*12= 
 30*12*12*12 = 51_840
51840 cubic inches.   The time it takes to empty the tank is 51840/12= 
51840/12 = 4_320
4320 minutes.   The answer is 4320.
Answer: D
A square of side 8 cm has been made to a rectangle by combining it with a rectangle of dimensions of length 8cm and breadth 4cm. What is the perimeter of the newly formed rectangle?  Choose the correct option.
A) 10	B) 20	C) 40	D) 60	E) 80

Solution: Dimensions of newly formed rectangle, length= 8+4= 
8+4 = 12
12cm breadth= 8cm   Perimeter of the new rectangle= 2x(12=8)= 40cm   Answer: 40
Answer: C
If X = 2 + 1/(1+1/(1-1/2))then the value of 2x+7/3? Choose the correct choice from the following options: A) 9 2/3 B) 10 1/3 C) 7 D) 11 2/3 E) 12

Solution: X = 2 + 1/(1+1/(1-1/2))   = 2 + 1/(1+2)   = 2 + 1/3   X = 7/3 ==> 2X + 7/3 => 2(7/3) + 7/3   ==> 14/3 + 7/3   ==> 21/3   ==> 7.   7)
Answer: C
Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 80 percent was planted with barley and 10 percent of the cleared land was planted with potato. If the remaining 90 acres of cleared land was planted with tomato, how many acres did the farmer own?
Choose one.
A) 850
B) 950
C) 1025
D) 975
E) 1000

Solution: 80% of 90% = 72%, 10% 0f 90% = 9% so the remaining  90-72-9= 
 90-72-9 = 9
9%=90 acres or 10% of 90%=9% --> 90/9*100=1000 acres Answer (1000)
Answer: E
In a 5 digit ID number, what is the probability of exactly three digits are the digit 0?
Answers
A) 12/2507
B) 9/2500
C) 11/9800
D) 13/2500
E) 14/2751

Solution: Total number of 5 digit numbers = 99999-10000+1=90,000   No. of ways of arranging 3 digits as 0 = 4C3=4.   Arrangements are as follows. Here X can be any digit other than 0   1) X000X ==> no. of ways - 81   2) XX000 ==> no. of ways - 81   3) X0X00 ==> no. of ways - 81   4) X00X0 ==> no. of ways - 81   Probability = (81*4)/90000   =9/2500   Ans - 9/2500
Answer: B
There are 9 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed. Choose the correct choice from the following answers:
A) 62	B) 70	C) 72	D) 71	E) 76

Solution: First of all you should remember that there is a difference in left and right sock.   now no. of way to select any of the sock = 9   and for second = 8   so total methods = 9*8= 
9*8 = 72
72   ANSWER:72
Answer: C
The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 524 different signs. If the company used 522 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 524 signs?	Choose the correct answer:
A) 46 B) 248 C) 2092 D) 15,128 E) 30,256

Solution: # of 2-letter codes possible from 524 different signs = 524*524.   # of 2-letter codes possible from 522 different signs = 522*522.   The difference = 524^2 - 522^2 = (524 -522)(524 + 522) = 2092.   Answer: 2092.
Answer: C
The mean of 50 observations was 40. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is
Answers.
A) 40.46 B) 36.1 C) 36.5 D) 39.1 E) None

Solution: Sol.   Therefore correct sum   = ( 40 × 50 + 48 – 23)   = 2023.   Therefore correct mean   = 2023 / 50   = 40.46.   40.46nswer 40.46
Answer: A
A baker filled with a measuring cup with 1/3 cup water. He poured 1/2 of the water into the batter, and then spilled 1/8 of the water on the floor. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with?	Choose the correct choice from the following choices:
A) 1/8 cup
B) 3/8 cup
C) 11/24 cup
D) 1/2 cup
E) 7/8 cup

Solution: 1/3 is the original water in cup .half in batter.So left is 1/6 out which 1/8 is spilled out.So again left with 1/24.   so 50% more than what he started was = 1/3+1/2*(1/3)=1/2   Amount of water needed to add = 1/2 - 1/24=11/24   11/24 cup
Answer: C
Excluding stoppages, the speed of a train is 30 kmph and including stoppages it is 21 kmph. Of how many minutes does the train stop per hour? Choose the correct option.
A) 16
B) 17
C) 12
D) 15
E) 18

Solution: T = 9/30 * 60= 
9/30 * 60 = 18
18   Answer: 18
Answer: E
A certain taxi company charges $2.80 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?	Choose the most appropriate option:
A) 15.6  B) 16.0  C) 18.4  D) 18.7  E) 19.1

Solution: A certain taxi company charges $2.80 for the first 1/5= 
1/5 = 1/5 = around 0.2
0.2 miles.   The cost of 8 miles long ride would be $2.80 for the first 0.2 miles plus (8-0.2)/0.2*0.4= $2.8 + $15.6 = $18.4.   Answer: 18.4.
Answer: C
What is the least possible value that can be subtracted from 2^586 so that the result is a multiple of 7? Select.
A) 2
B) 3
C) 5
D) 7
E) 11

Solution: We need to subtract something to make 2^586 a multiple of 7.   So let us try to write 2^586 in a from from which we can convert it in terms of 7   We know that 2^3 = 8 and 8 = (7+1)   Hence we will write 2^586 in powers of 8   2^586 = 2*2^585 = 2*8^195 = 2*(7+1)^195   2ll of the terms of (7+1)^195 will be multiple of 7 apart from the last term - "1"   Hence 2*(7+1)^195 = 2(Multiples of 7 + 1) = 2*Multiples of 7 + 2   Therefore we need to subtract 2 to make 2^586 a multiple of 7   2NSWER:2
Answer: A
In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the first year is 30, what will be his grade at the end of the third year? Choose the correct option:  A) 44  B) 56  C) 64  D) 75  E) 80

Solution: Cool question!   There's a lot of information given here, so let's eat slow here.   Joey scores a 30 at the end of his first year. That means that he's currently 15 years old (since given per instruction, after the first year one's grade is determined by doubling his/her age).   Now, come next year, or his second year at this psychology school, he's technically 16 years old. To find out the second year's grade, we want to double his age PLUS half of his previous grade.   Well, his second year is then going to be 16(2) + 15 = 41.   Now let's tackle the main question: what's his grade going to be the third year?   Well, he will be at an age of 17 on his third year at this school. Again, to find out his third year's grade, you're going to double his age (17x2), plus half of his previous year's grade (as calculated for his second year, his grade is 41; therefore, 41/2)   Having said that, the final answer would be 17(2) + 41/2 = 34 + 20.5 = 64.5 ~= 64--> (64)
Answer: C
A student is to take her final exams in two subjects. The probability that she will pass the first subject is 3/4 and the probability that she will pass the second subject is 2/3. What is the probability that she will pass one exam or the other exam?	Choose the most appropriate option: A) 5/12 B) 1/2 C) 7/12 D) 5/7 E) 11/12

Solution: Let the two subjects be X (probability of passing 3/4) and Y (probability of passing 2/3)   The probability of passing in X only is 3/4 times 1/3 (failing in Y) = 1/4   The probability of passing in Y only is 2/3 times 1/4 (failing in X) = 1/6   Therefore the total probability = 1/4 + 1/6 = 5/12   Hence 5/12
Answer: A
In 1995, the Johny spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johny cut back their water usage. By how much must the Johny have reduce their 1996 water usage to pay exactly the same amount in 1996 as they paid in 1995?  Select the correct option:
A) a)	33 1/3 %	B) b)	40 %	C) c) 50 %	D) d)	66 2/3 %	E) e)	100 %

Solution: Let x be the water usage and c be the cost water of Johny   We have   xc =800, c=800/x   Y(1.5c)=800 where Y is the water usage in 1996   Y= 800/ (1.5*800/x)= 1/1.5x=2/3x   Thus reduction will be x-2/3x=1/3x=a)	33 1/3 %
Answer: A
How many pages the book have, if total 309 digits are used to form the page numbers?	Choose the correct answer.
A) 135 pages	B) 136 pages	C) 137 pages	D) 138 pages	E) 139 pages

Solution: First 9 pages .. 9 digits   next 90 pages .. 180 digits   next 40 pages ... 120 digits   ----------------------   Total ...139 pages ...309 digits   ANSW139 pagesR:139 pages
Answer: E
Pipes A can fill a tank in 5 hours and Pipe B can fill it in 6 hours . If the two pipes are opened together, then the tank will be filled in:
Select:
A) 3 4/11 hours.
B) 2 8/11 hours.
C) 2 3/11 hours.
D) 5 2/11 hours.
E) 4 3/11 hours.

Solution: Explanation:   Pipes A can fill the tank in 5 hours . Therefore,   part filled by pipe A in 1 hour =1/5 Pipe B can fill the tank in 6 hours. Therefore,   part filled by pipe B in 1 hour = 1/6   Net part filled by Pipes A,B together in 1 hour   =1/5+1/6=11/30   i.e., the tank can be filled in 30/11=2 8/11 hours.   Answer: Option 2 8/11 hours.
Answer: B
If M is the sum of consecutive even integers w, x, y, and z, where w < x < y < z, all of the following must be true EXCEPT Choose the correct choice from the following answers:
A) z - w = 3(y - x)  B) M is divisible by 8  C) The average of w, x, y, and z is odd  D) M is divisible by 4  E) w + x + 8 = y + z

Solution: Just assume that the numbers are 2a, 2a+2, 2a+4 and 2a+6.   M = 2a + 2a+2 + 2a+4 + 2a+6 = 8a + 12   Focus on the easiest options first. You see that M is not divisible by 8. Answer (M is divisible by 8)
Answer: B
The population of a town increased from 1,24,300 to 1,62,400 in a decade. The average percent increase of population per year is:	Choose the most appropriate option:
A) 4.37%	B) 4%	C) 2.3%	D) 3.75%	E) None

Solution: Explanation: Increase in 10 years = (162400 - 124300) = 87500.   Increase% = (38100/162400x 100)% = 23%.   Required average = (23/10)= 
(23/10) = 23/10 = around 2.3
2.3%.   Answer: Option 2.3%
Answer: C
if log 4 = 0.60205, the number of digits in 4128 is	Select the correct option:
A) 22 B) 39 C) 78 D) 28 E) 11

Solution: Explanation:   log(4128) = 128log(4) = 128 × 0.60205 ≈ 77.06   ie, its characteristic = 77   Hence, number of digits in 2128 = 77+1= 
77+1 = 78
78   Answer: Option 78
Answer: C
What is the place value of 3 in the numeral 3259  Choose the correct choice:
A) 2800
B) 2900
C) 2970
D) 3000
E) 3500

Solution: Option '3000'    3 * 1000= 
 3 * 1000 = 3_000
3000
Answer: D
In a regular week, there are 5 working days and for each day, the working hours are 8. A
man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns
Rs. 432 in 4 weeks, then how many hours does he work for ?	Pick one: A) 160 B) 175 C) 180 D) 195 E) 200

Solution: The man works overtime for x hours.   Now, working hours in 4 weeks = (5 x 8 x 4) = 160.   160 x 2.40 + x x 3.20 = 432   3.20x = 432 - 384= 
432 - 384 = 48
48   x= 15.   Hence, total hours of work = (160 + 15)= 
(160 + 15) = 175
175 Answer: Option 175
Answer: B
A train covers a distance of 12 km in 10 min. If it takes 8 sec to pass a telegraph post, then the length of the train is?
Choose the correct answer:
A) 178 m	B) 168 m	C) 120 m	D) 160 m	E) 178 m

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec   = 20 m/sec.   Length of the train = 20 * 8= 
20 * 8 = 160
160 m.   Answer: 160 m
Answer: D
Five machines at a certain factory operate at the same constant rate. If four of these machines, operating simultaneously, take 45 hours to fill a certain production order, how many fewer hours does it take all five machines, operating simultaneously, to fill the same production order? Choose the correct choice:
A) 3
B) 5
C) 6
D) 16
E) 9

Solution: Total work = 4*45 machine hrs   Time taken = 4* 45 /5= 
4* 45 /5 = 36
> 36 hours...   Thus all five machines, operating simultaneously will take ( 45 - 36 ) 9 hours..   Answer will be (9) 9
Answer: E
Fill in the missing number:
18 ? 12 11 10.5 10.25  Choose one.
A) 10.1  B) 10.4  C) 10.2  D) 14  E) 10.3

Solution: 14   Divide each number by 2 and then add 5 to it.   ANSWER 14
Answer: D
Find the length ofa rectangle is decreased by 40cm & the width is increased by 5cm, a square with the same area asthe original rectangle result. Find the perimeter ofthe original rectangle? Choose the correct choice from the following answers:
A) 30 cm B) 40 cm C) 50 cm D) 60 cm E) 70 cm

Solution: Let x and y be the length and breadth of the rectangle respectively.   Then, x - 4 = y + 3 or x - y = 7 ----(1)   Area of the rectangle =xy; Area of the square = (x - 4) (y + 3)   (x - 4) (y + 3) =xy <=> 3x - 4y = 12 ----(2)   Solving 1 & 2 , we get x = 16 and y = 9.   Perimeter of the rectangle = 2 (x + y) = [2 (16 + 9)] cm = 50 cm.   50 cm
Answer: C
A man can row a boat at 26 kmph in still water. If the speed of the stream is 12 kmph, what is the time taken to row a distance of 66 km downstream?	Choose the most appropriate option.
A) 30/16 hours B) 33/19 hours C) 34/15 hours D) 36/13 hours E) 30/13 hours

Solution: Speed downstream = 26 + 12= 
26 + 12 = 38
38 kmph.   Time required to cover 66 km downstream= d/s = 66/38 = 33/19 hours.Answer:33/19 hours
Answer: B
The ratio of the volumes of two cubes is 1728 : 1331. What is the ratio of their total surface areas?
Choose the correct option
A) 144 : 121  B) 141 : 127  C) 144 : 191  D) 181 : 161  E) 81 : 182

Solution: Explanation:   Ratio of the sides = ³√1728 : ³√1331 = 12 : 11   Ratio of surface areas = 12^2 : 11^2 = 144 : 121   144 : 121nswer: Option 144 : 121
Answer: A
How many 4-digit numerals begin with a digit that represents a prime and end with a digit that represents a prime number?	Answers.
A) 1600
B) 80
C) 160
D) 180
E) 240

Solution: prime digits 2,3,5 and 7.   three digit numbers _ _ _   1st place can be filled in 4 ways   2nd place can be filled in 10 ways   3rd place can be filled in 10 ways   3rd place can be filled in 4 ways   Total=4*10*10*4= 
4*10*10*4 = 1_600
1600   1600ns : 1600
Answer: A
The arithmetic mean of the 13 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s + 6? Select the correct option:
A) 2 + s + a
B) 22 + a
C) 2s
D) 2a + 2
E) a

Solution: (13s+78)/13=s+6=a   (9s+54)/9=s+6=a   a
Answer: E
When the positive integer g is divided by 5 and 7, the remainder is 3 and 4, respectively. When the positive integer h is divided by 5 and 7, the remainder is 3 and 4, respectively. Which of the following is a factor of g-h?
Choose the correct choice from the following choices:
A) 12	B) 24	C) 35	D) 16	E) 30

Solution: If I have a number n which when divided by 5 gives a remainder 3 and when divided by 7 gives a remainder 4, the number is of the form:   n = 5g + 3   n = 7h + 4   I will need to check for the smallest such number.   I put h= 1. n = 11. Is it of the form 5g + 3? No.   Put h= 2. n = 18. Is it of the form 5g + 3? Yes.   When 18 is divided by 5, it gives a remainder of 3. When it is divided by 7, it gives a remainder if 4.   Next such number will be 35 + 18 because 35 will be divisible by 5 as well as 7 and whatever is the remainder from 18, will still be the remainder   Next will be 35*2 + 18   and so on...   Difference between such numbers will be a multiple of 35 so your answer is 35.   your answer is 35
Answer: C
A boat travels for three hours with a current of 3 mph and then returns the same distance against the current in four hours. What is the boat's speed in calm water? How far did the boat travel one way?  Choose the correct choice from the following choices
A) .14 B) 2.14 C) 3.14 D) 5.14 E) 7.14

Solution: boat speed=1.5(approx)   one way dist=5.14   ANSWER:5.14
Answer: D
The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is?  Choose one:
A) 12%
B) 13%
C) 15%
D) 14%
E) 18%

Solution: Explanation:   P.W = 2562 - 122 = Rs.2440   Rate=100×122/2440×13Rate=100×1222440×13   =15%   Answer: 15%
Answer: C
In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices.
A) 10	B) 11	C) 12	D) 15	E) 14

Solution: Let speed of the boat in still water = a and speed of the stream = b   Then   a + b = 14   a - b = 8   Adding these two equations, we get 2a = 22   => a = 11   ie, speed of boat in still water = 11 km/hr   Answer is 11.
Answer: B
On a purchase of $130, a store offered a payment plan consisting of a $30 down payment and 12 monthly payments of $10 each. What percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?
Choose one:
A) 23.5%
B) 24.5%
C) 23.1%
D) 25.5%
E) 26.5%

Solution: 12*10 + 30= 
12*10 + 30 = 150
150.   (30/130)* 100= 23.1   Answer : 23.1%
Answer: C
A straight fence is to be constructed from posts 3 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following couldnotbe the length of the fence in feet? (12 inches = 1 foot)
Choices.
A) 17	B) 28	C) 34	D) 39	E) 50

Solution: The fence begins and ends with a post: {post = 0.5 feet}{chains = 5 feet}{post = 0.5 feet}...{chains = 5 feet}{post = 0.5 feet}   The minimum length is with 2 posts = 0.5 + 5 + 0.5= 
0.5 + 5 + 0.5 = 6
6 feet. To increase the fence, each time we should add{post= 0.5 feet}{chains = 5 feet}, so 5.5 feet. Thus, the lengths could be:   3 feet;   3 + 5.5= 
3 + 5.5 = 8.5
8.5 feet;   11.5 + 5.5= 14 feet;   17 + 5.5 = 19.5 feet;   22.5 + 5.5 = 25 feet;   28 + 5.5 = 30.5 feet;   33.5 + 5.5 = 36 feet.   ...   We skipped 34 feet.   Answer: 34.
Answer: C