MU-NLPC/Calc-aqua_rat huggingface dataset:
A seller has 1000 kg of rice part of which he sells at 8% profit and the rest at 18% profit. He gains 14%. The quantity sold at 18% profit is?	Choose the correct choice from the following answers
A) 200 kg B) 300 kg C) 400 kg D) 600 kg E) 700 kg

Solution: By rule of alligation,   Profit% by selling 1st part Profit% by selling 2nd part   8 18   Net % profit   14   18-14= 
18-14 = 4
4 14-8=6   => Quantity of part1 : Quantity of part2 = 4 : 6 = 2 : 3   Total quantity is given as 1000 kg. So quantity of part2 (quantity sold at 18% profit)   =1000×35   = 600 kg   600 kg
Answer: D
In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 65 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ? Choose the most appropriate option
A) 50%
B) 53%
C) 54%
D) 55%
E) 47%

Solution: Say there are total of 100 registered voters in that city. Thus 60 are Democrats and 40 are Republicans.   60*0.65= 
60*0.65 = 39
39 Democrats are expected to vote for Candidate A;   40*0.20= 
40*0.20 = 8
8 Republicans are expected to vote for Candidate A.   Thus total of   39+8= 
  39+8 = 47
47 registered voters are expected to vote for Candidate A, which is 47% of the total number of registered voters.   Answer: 47%.
Answer: E
Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 1/8, what is the probability that Taylor makes exactly one basket in three tries?  Choose one.
A) 21/512  B) 21/500  C) 21/213  D) 21/123  E) 21/125

Solution: Probability of basket = 7/8   Probability of no basket = 1/8   Required probability=3* 1/8*1/8*7/8   = 21/512   21/512 is the answer.
Answer: A
The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
Select the correct option.
A) 1: 5
B) 1: 1
C) 1: 9
D) 1: 2
E) 1: 8

Solution: r1: r2 = 1: 3   Πr12: Πr22   r12: r22 = 1: 9.Answer: 1: 9
Answer: C
In a apartment, 30% of the people speak English, 20% speak Hindi and 14% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?	Choices:
A) 1/35
B) 2/35
C) 9/25
D) 12/19
E) 3/17

Solution: P (E) = 30 / 100 , P (H) = 20 / 100 and P (E âˆ© H) = 14 / 100 =   P (E or H) = P (E U H)   = P (E) + P (H) - P (E âˆ© H)   = (30 / 100) + (20/100 - (14 / 100) = 36/100 = 9/25   9/25
Answer: C
A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:	Pick one.
A) 29	1/5  B) 37	1/4  C) 42  D) 54  E) 45

Solution: we have food for 150 men for 45 days.   After 10 days food left for 150 men for 35 days.   so   150 : 35   now we have 125 men and x days   125 : 150 :: 35 : x   x = (150*35)/125= 
(150*35)/125 = 42
42 days.   ANSWER:42
Answer: C
a, b, c and d are four consecutive numbers. If the sum of a and dis 105, what is the product of b and c?
Choose the correct option:  A) 2756  B) 2578  C) 2534  D) 3354  E) 4234

Solution: 2756   Here d = a + 3   a + a + 3 = 105   2a = 102   a = 51   So, numbers are 51, 52, 53 and 54   ∴ b × c= 52 × 53 = 2756
Answer: A
A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 840 in 4 years. The rate of interest per annum is?  Choose the most appropriate option
A) 7
B) 6
C) 5
D) 4
E) 2

Solution: S.I. on Rs. 800 for 1 year = (840 - 800) = Rs. 40 Rate = (100 * 40)/(800 * 1)= 
(100 * 40)/(800 * 1) = 5
5%.Answer:5
Answer: C
It takes one machine 2 hours to complete a production order and another machine 3 hours to complete the same order. How many hours would it take both amhcines working simultaneously at their respective rates to complete the order?
Choose one
A) a) 7/12
B) b) 1 1/5
C) c) 1 5/7
D) d) 3 1/2
E) e) 7

Solution: RT = W   Given:   R = 1/3 + 1/2 = 5/6   T = ?   W = 1   T = 1 / (5/6) = 6/5 = 1 1/5   Answer: b) 1 1/5
Answer: B
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
Options:
A) 145º B) 150º C) 155º D) 160º E) 165º

Solution: Angle traced by hour hand in 12 hrs = 360º. Angle traced by hour hand in 5 hrs 10 min. i.e., 31/6 hrs ={(360/12) x (31/6)}º	= 155º. Answer : 155º
Answer: C
The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he hThe price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?ave to pay ? Select the correct option:
A) 2500
B) 2700
C) 2200
D) 2900
E) 2400

Solution: Let the price of a saree and a shirt be Rs. x and Rs. y respectively.   Then, 2x + 4y = 1600 .... (i)   and x + 6y = 1600 .... (ii)   Divide equation (i) by 2, we get the below equation.   => x + 2y = 800. --- (iii)   Now subtract (iii) from (ii)   x + 6y = 1600 (-)   x + 2y = 800   ----------------   4y = 800   ----------------   Therefore, y = 200.   Now apply value of y in (iii)   => x + 2 x 200 = 800   => x + 400 = 800   Therefore x = 400   Solving (i) and (ii) we get x = 400, y = 200.   Cost of 12 shirts = Rs. (12 x 200) = Rs. 2400.   Answer is 2400.
Answer: E
The high temperature of a summer day on Fire Island is always one of three temperatures: 84, 85 or 86 degrees. If there is an equal chance of each temperature, what is the probability that the median high temperature over a three day period will be 85 degrees?
Choose the correct choice from the following answers: A) 1/27 B) 2/9 C) 1/3 D) 4/9 E) 13/27

Solution: Total number of ways:P 3*3*3= 
3*3*3 = 27
27   Possible permutations as 85 median   (85, 85, 85), or any permutation of all three.   Total number of permutations: 3 + (3*2*1)= 
3 + (3*2*1) = 9
9   Therefore, 9/27= 1/3   ANSWER:1/3
Answer: C
In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−12, −8)?  Choose the correct option
A) 4
B) 2
C) 0
D) −2
E) −4

Solution: slope = rise/run = 11/22 = 1/2   The equation of the line is y = (1/2)x + b   3 = (1/2)(10) + b   b = -2   The equation of the line is y = (1/2)x - 2   To find the x-intercept, let y = 0:   0 = (1/2)x - 2   x = 4   The answer is 4.
Answer: A
A bat is bought for Rs.400 and sold at a gain of 20% find its selling price Choose the correct choice from the following choices.
A) Rs.430/-  B) Rs.480/-  C) Rs.400/-  D) Rs.580/-  E) Rs.600/-

Solution: 100 % ------> 400 (100 * 4 = 400)   120 % ------> 480 (120 * 4 = 480)   Selling price = Rs.480/-   Rs.480/-
Answer: B
Two persons start running simultaneously around a circular track of length 600 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choose the correct choice from the following:  A) 16 seconds  B) 18 seconds  C) 27 seconds  D) 54 seconds  E) 60 seconds

Solution: Time taken to meet for the first time anywhere on the track   = length of the track / relative speed   = 600 / (15 + 25)5/18 = 600* 18 / 40 * 5   = 54 seconds.   Answer:54 seconds
Answer: D
A group of people participate in some curriculum, 25 of them practice Yoga, 18 study cooking, 10 study weaving, 4 of them study cooking only, 5 of them study both the cooking and yoga, 4 of them participate all curriculums. How many people study both cooking and weaving?  Choose one: A) 1 B) 2 C) 3 D) 4 E) 5

Solution: Both cooking and weaving = 18 - (4+4+5)= 
18 - (4+4+5) = 5
5   So, the correct answer is 5.
Answer: E
Today is Mark's birthday. Four year, from today he will be twice as old as he was 13 years ago. How old is Mark today ?	Choose the most appropriate option.
A) 26 years	B) 27 years	C) 28 years	D) 29 years	E) 30 years

Solution: let Mark's age=xx+4=2(x-13)x=30ANSW30 yearsR:30 years
Answer: E
How many seconds will a 200 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices.
A) 11 sec
B) 30 sec
C) 77 sec
D) 14 sec
E) 12

Solution: Speed of train relative to man = 63 - 3= 
63 - 3 = 60
60 km/hr.= 60 * 5/18 = 50/3 m/sec.   Time taken to pass the man = 200 * 3/50= 
200 * 3/50 = 12
12 sec.   Answer: 12
Answer: E
A motorist travel to a place 150 km away at an avearge speed of 50 km/hr and returns ar 30 km/hr. His average speed for the whole journey in km/hr is  Choose the correct choice from the following choices:
A) 35
B) 37
C) 37.5
D) 40
E) 42

Solution: Solution   Average Speed	= (2xy/x +y )km/hr   =(2x50 x30/ 50+30)   = 37.5 km/hr.   Answer 37.5
Answer: C
A museum has an average of 520 visitors on Sundays, 270 on other day and Tuesday is holiday. The average number of visitors in a month of 30 days starting with Tuesday is Choose the correct choice from the following choices.
A) 210.15
B) 225.32
C) 238.12
D) 245.57
E) 258.33

Solution: Number of sundays in that month is 4 and number of tuesdays in that month is 5.   Total number of visitors=(520x4)+((26-5)x270)=7750   Average visitor per day= 7750/30 = 258.33   Answer: 258.33
Answer: E
An escalator moves towards the top level at the rate of 11 ft.sec and its length is 140 feet. If a person walks on the moving escalator at the rate of 3 feet per second towards the top level, how much time does he take to cover the entire length.	Choose the correct choice from the following choices:  A) 14 sec  B) 10 sec  C) 12 sec  D) 8 sec  E) 5 sec

Solution: Explanation :   Time taken to cover the entire length = tot.dist/resultant speed = 140/ (11+3)= 
140/ (11+3) = 10
10sec   Answer : 10 sec
Answer: B
A sum fetched a total simple interest of Rs. 100 at the rate of 5 p.c.p.a. in 4 years. What is the sum?	Options.
A) 800 B) 600 C) 500 D) 1000 E) 300

Solution: Sol.   Principal = Rs. [100 * 100 / 5 * 4] = Rs. [10000 / 20] = Rs. 500.   Answer 500
Answer: C
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 12%?
Pick one:  A) 20%  B) 28%  C) 27%  D) 32%  E) 70%

Solution: SP2 = 2/3 SP1   CP = 100   SP2 = 88   2/3 SP1 = 88   SP1 = 132   100 --- 32 => 32%   Answer:32%
Answer: D
In a guess game , five friends had to guess the exact numbers of balls in a box.
Friends guessed as 31 , 35, 39 , 49 , 37, but none of guess was right.The guesses were off by 1, 9, 5, 3, and 9 (in a random order).
Can you determine the number of balls in a box ?  Choose the correct choice from the following choices
A) 30 balls
B) 35 balls
C) 40 balls
D) 45 balls
E) 50 balls

Solution: 40 balls   40 balls
Answer: C
The numbers of pizza slices that are sold in Joey's Pizza are only in quantities of 5 and 6 slices per customer. How many slices cannot be bought?  Pick one.
A) 48.	B) 54.	C) 62.	D) 51.	E) 22.

Solution: Answer:	Let X pizzas of 5 slices and Y pizzas of 6 slices.   5X + 6Y.   Lets check options wise.   A. 48 => 5(6) + 6(3)   B. 54 => 5(6) + 6(4)   C. 62 => 5(10) + 6(2)   D. 51 => we can't write anything with 4 and 6 series..Lets try 5(6) + 6(3) = 48 , 5(8) + 6(2) = 52 , nothing works out   E. 22 => 5(2) + 6(2)   Answer: correct option is 51.
Answer: D
There are 100 students in 3 sections A, B and C of a class. The average marks of all the three sections was 84. The average of B and C was 87.5 and the average marks of students in A section was  Options:
A) 20	B) 37	C) 28	D) 11	E) 12

Solution: Explanation:   Numbers of students in section A = x   âˆ´ Numbers of students in section B and C = (100 â€“ x)   âˆ´ x 70 + (100 â€“ x) 87.5 = 84 100   => 70x + 87.5 100 â€“ 87.5x = 8400   => 8750 â€“ 17.5x = 8400   => 17.5x = 8750 â€“ 8400 => x = 20.   20nswer: 20
Answer: A
A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x ?
Choose the correct choice from the following answers: A) 6 B) 7 C) 8 D) 9 E) 10

Solution: Explanation:   Clearly, we have (3 + 11 + 7 + 9 + 15 + 13 + 8 + 19 + 17 + 21 + 14 + x) / 12 = 12.   or 137 + x = 144 or x = 144 - 137= 
144 - 137 = 7
7. Answer: 7
Answer: B
Two ropes are given to you. Both of the ropes will take exactly an hour each to burn fully.
You are asked to measure forty five minutes using the two ropes. How will you achieve to do it?  Select.
A) 30 minutes B) 40 minutes C) 50 minutes D) 60 minutes E) 70 minutes

Solution: Solution:   Take both the ropes. Now light the first rope from both the ends. Light the second rope from just one end. In thirty minutes, the first rope will burn fully. At this point of time, the second rope will be left exactly half and you have to light it from the second end now. It will take half of the actual time (thirty minutes) to burn now i.e. fifteen minute.   Thirty Minutes + Fifteen minutes = Forty Minutes   Answer 40 minutes
Answer: B
If x and y are positive integers, and x^3*y^4 = 5488, which of the following is the value of xy?	Pick
A) 6
B) 10
C) 14
D) 15
E) 21

Solution: 5488 = 2*2744 = 2^2*1372 = 2^3*686 = 2^4*343 = 2^4*7^3   xy = 2*7= 
2*7 = 14
14   The answer is 14.
Answer: C
The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.600 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?	Choices.
A) 2	B) 1	C) 6	D) 7	E) 9

Solution: 6 * 22= 
6 * 22 = 132
132   7 * 19= 
7 * 19 = 133
133   --------------   1   Answer: 1
Answer: B
A car takes 12 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/4th of the previous time?
Choose the correct choice from the following.
A) 25Kmph
B) 60Kmph
C) 100Kmph
D) 120Kmph
E) 180Kmph

Solution: Time = 12   Distence = 540   3/4 of 12 hours = 12 * 3/4= 
12 * 3/4 = 9
9 Hours   Required speed= 540/9= 
540/9 = 60
60 Kmph   60Kmph)
Answer: B
A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 200 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?
.  Choose the most appropriate option:
A) (B + 200)/2.
B) (B + 2)/6.
C) (2B + 200)/3.
D) (B + 2)/3.
E) (B - 2)/6

Solution: P: cost of 1 paint brush in cents; W: cost of 1 bucket of white wash in cents   P + W = 100*B cents (B dollars)   paintbrush costs 200 cents less than twice the price of a bucket of whitewash   So, P-200 = 2W ---> P=2W+200   P + W = 100*B cents (B dollars) ---> 2W+200+W = 100*B ---> 3W = 100*B - 200 ---> W = (100B - 200)/3   Price of half bucket of White wash = W/2 = (100B - 200)/6 dollars or (B-2)/6 in cents.   Answer is (B - 2)/6.
Answer: E
find two integers, neither of which ends in a zero, and whose product is exactly 10,000
Choose the correct choice from the following answers.
A) 64 and 15,625  B) 60 and 15,625  C) 64 and 15,620  D) 16 and 625  E) 64 and 16,625

Solution: 10,000=10^4   =10x10x10x10   =(2x5)x(2x5)x(2x5)x(2x5)   =(2^4)x(5^4)   = 16x625   so the numbers are 16 and 625   ANSWER:16 and 625
Answer: D
If Tim had lunch at $50.50 and he gave 15% tip, how much did he spend?	Choose the correct answer
A) $58
B) $60.60
C) $70.60
D) $40.60
E) $50.60

Solution: The tip is 20% of what he paid for lunch. Hence   tip = 15% of 50.50 = (15/100)*50.50= 
(15/100)*50.50 = 7.575
$7.575   Total spent   50.50 + 7.575= $58   correct answer $58
Answer: A
In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 19 years replaced by a new boy. The age of the new boy is?
Select
A) 15 years 8 months  B) 15 years  C) 16 years 4 months  D) 17 years 10 months  E) 17 years

Solution: Total decrease = (20 x 2) months   = 3 years 4 months   Age of the new boy   = 19 years - 3 years 4 months.   = 15 years 8 months.   15 years 8 monthsNSWER:15 years 8 months
Answer: A
A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is
Choose the correct choice:
A) 12Π cm3	B) 15Π cm3	C) 16Π cm3	D) 20Π cm3	E) None

Solution: Solution   Clearly, we have r = 3cm and h = 4cm.   ∴ Volume	= 1/3Πr2h   = (1/3 x Π x 32x4)cm3   = 12Πcm3.   12Π cm3nswer 12Π cm3
Answer: A
A number when divided by the sum of 555 and 445 gives two times their difference the quotient and 30 as the remainder. The number is Pick:
A) 1220 B) 1250 C) 22030 D) 220030 E) None

Solution: Solution   Required number	= (555+445)×2×110+30   220000+30= 
220000+30 = 220_030
›220030.   Answer 220030
Answer: D
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? Options
A) 3 hr
B) 1 hr 30 min
C) 2 hr 30 min
D) 2 hr
E) 4 hr

Solution: Explanation:   A tap can fill a tank in 4 hours.   Therefore the tap can fill half the tank in 2 hours.   Remaining part =1/2   After half the tank is filled, three more similar taps are opened.   Hence, total number of taps becomes 4.   Part filled by one tap in 1 hour =1/4   Part filled by four taps in 1 hour =4×14=1   i.e., 4 taps can fill remaining half in 30 minutes.   Total time taken= 2 hour + 30 minute = 2 hour 30 minutes   Answer: Option 2 hr 30 min
Answer: C
Tough and Tricky questions: Word Problems.
If Bill's salary increased by 16 percent, he would earn $812 per month. If instead, his salary were to increase by only 10 percent, how much money Q would he earn per month? Answers:
A) $700  B) $754  C) $770  D) $782  E) $893

Solution: OFFICIAL SOLUTION:   (C) If Bill’s salary increased by 16% he would earn $812. Algebraically, this can be written as:   $812 = 1.16S, where S is his current salary.   Then S = $812/1.16= 
812/1.16 = 700
$700.   Now that we know his current salary is $700, we can calculate what his salary would be if it were increased by 10%. We know that 10% of $700 is $70, so his salary would be:   Q=$700 + $70 = $770.   The correct answer is choice ($770).700 +  70= 
700 +  70 = 770
$770.   The correct answer is choice ($770).
Answer: C
A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is? Select:
A) 298 m
B) 279 m
C) 827 m
D) 150 m
E) 165 m

Solution: Let the length of the train be x m and its speed be y m/sec.   Then, x/y = 15 => y = x/15   (x + 100)/25 = x/15 => x = 150 m.   Answer:150 m
Answer: D
Mary decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If Mary's savings by the end of the year from these monthly savings were TWO times the amount she spent per month, what should be the fraction of her salary that she spent each month?  Choose the correct option.
A) 6/7  B) 1  C) 2  D) 3  E) 4

Solution: Saving = S, Expenditure = E, Income = I   6/7t the end of 12months; 12S=2E=2(I-S)   => 14S = 2I => Savings = 1/7 I   Hence Expenditure = 1-(1/7)I = 6/7 I   6/7nswer (6/7)
Answer: A
A certain high school has 500 students. Of these students, 50 are taking music, 20 are taking art, and 10 are taking both music and art. How many students are taking neither music nor art?	Choose one
A) 430	B) 440	C) 450	D) 460	E) 470

Solution: We're given a series of facts to work with:   1) A certain high school has 500 students.   2) Of these students:   X are taking music,   Y are taking art, and   Z are taking BOTH music and art.   We're asked how many students are taking NEITHER music nor art?   Let's TEST   X = 50   Y = 20   Z = 10   So, we have 50 students taking music, 20 taking art and 10 taking BOTH music and art.   40 student taking JUST music   10 student taking JUST art   10 student taking BOTH music and art   Total = 60 students   We're asked for the total number of students who are taking NEITHER Course. That is 500 - 60= 
500 - 60 = 440
440.   440
Answer: B
Mary decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If Mary's savings by the end of the year from these monthly savings were three times the amount she spent per month, what should be the fraction of her salary that she spent each month? Pick one:
A) 1/2  B) 2/3  C) 1/4  D) 4/5  E) 5/6

Solution: Let Mary's monthly savings = S   Mary's monthly pay = P   Mary's monthly expenditure = P-S   Mary's savings by the end of the year from these monthly savings were three times the amount she spent per month   12S = 3*(P-S)   =>4S = P-S   => P = 5S   Mary's monthly expenditure = P-S = 5S-S = 4S   fraction of her salary that Mary spent each month = 4S / 5S = 4/5   Answer 4/5
Answer: D
Using all the letters of the word "QUESTION", how many words can be formed, which begin with Q and end with N?	Choose the correct answer
A) 713  B) 650  C) 720  D) 700  E) 456

Solution: There are five letters in the given word.   Consider 8 blanks ....   The first blank and last blank must be filled with Q and N all the remaining three blanks can be filled with the remaining 6 letters in 6! ways.   The number of words = 6! = 720.   Answer:720
Answer: C
Current ages of Rahim and Thomas are in the ratio of 5 : 4 correspondingly. 0.6 decades hence, the ratio of their ages will become 11 : 9 correspondingly, What is Thomasâ€™s current age in years? Choose one:
A) 24 years	B) 44 years	C) 34 years	D) 48 years	E) 84 years

Solution: If current ages of Rahim and Thomas be 5A years and 4A years correspondingly   Then, 5A + 6 = 11   4A + 6 = 9   9(5A + 6)=11(4A + 6)   A = 12   Thomasâ€™s current age = 4A   = 48 years.   48 years
Answer: D
If the number is decreased by 5 and divided by 7 the result is 7. What would be the result if 34 is subtracted and divided by 10?  Pick one
A) 4 B) 7 C) 8 D) 2 E) 3

Solution: Explanation:   Let the number be x. Then,   (x - 5)/7 = 7 => x - 5 = 49   x = 54   .: (x - 34)/10 = (54 - 34)/10= 
(54 - 34)/10 = 2
2   Answer: Option 2
Answer: D
If the sales tax be reduced from 4 (1/3) % to 2 (1/2) %, then what difference does it make to a person who purchases a bag with marked price of Rs. 8000?	Pick one:
A) Rs. 156.66
B) Rs. 150.23
C) Rs. 146.66
D) Rs. 135.06
E) None of these

Solution: Explanation:   Required difference = (4 (1/3) of Rs. 8000) - (2 (1/2) of Rs. 8000)   = (13/3 – 5/2) % of Rs. 8000   = (11/6) x (1/100) x 8000   = Rs. 146.66   ANSWER Rs. 146.66
Answer: C
Of the 14,210 employees of the anvil factory, 2/7 are journeymen. If half of the journeymen were laid off, what percentage of the total remaining employees would be journeymen? Pick.
A) 14.3% B) 16.67% C) 33% D) 28.6% E) 49.67%

Solution: the number of employees is not reqd...   1/2 of 2/7 are shunted out so 1/7 left... there are another 5 equal parts(5/7)..   so total remaining parts=6, in which 1 part is journeyman....   therefore %=1/6*100=16.67%   ANSWER:16.67%
Answer: B
One hour before John started walking from P to Q, a distance of 23 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?
Answers:
A) 6 miles
B) 8,4 miles
C) 9 miles
D) 9,6 miles
E) 15 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   23 - 3= 
  23 - 3 = 20
20 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 20 miles so it will take them  20/5= 
 20/5 = 4
4 hours to meet.   In 4 hrs, Ann would have covered 4 hrs * 3 miles per hour= 12 miles.   Adding this to the 3 miles she covered before John, Ann covered a total of 3 + 12= 
3 + 12 = 15
15 miles.   Answer (15 miles)
Answer: E
A and B can do a piece of work in 10 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?	Choose one:
A) 15.5 days
B) 19.5 days
C) 10 days
D) 16.5 days
E) 18.5 days

Solution: 10 days = 1/5 – 1/10 = 5/50 => 10 days   ANSWER:10 days
Answer: C