MU-NLPC/Calc-aqua_rat huggingface dataset:
Jill works as a waitress at the local diner where she earns an hourly wage of $4.00 per hour and a standard tip rate of 15% of the cost of the orders she serves. If she worked four 8-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?  Choose the most appropriate option.
A) 280	B) 300	C) 320	D) 350	E) 400

Solution: Jill earns 4 dollars/hour and the hourly tip is (3/20)*40.   Jill thus earns 4*8+8*2*3 per day(or 4(8)+6(8)=10(8)=80).   Jill has worked for 4 days -> 80*4=320.   This matches answer choice 320.
Answer: C
The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes? Pick one:	A) 15	B) 17	C) 19	D) 10	E) 12

Solution: 90 * 10/60= 
90 * 10/60 = 15
15 kmph   15nswer: 15
Answer: A
A car travels at a speed of 75 miles per hour. How far will it travel in 5 hours?
Choose the correct answer:
A) 425 miles	B) 625 miles	C) 325 miles	D) 375 miles	E) 625 miles

Solution: During each hour, the car travels 65 miles. For 5 hours it will travel   75 + 75 + 75 + 75 + 75 = 5 *65 = 375 miles correct answer 375 miles
Answer: D
Mrs. Evans gave a test to her freshmen economics class, which has 25 students enrolled and 22 of them answered question 1 correctly. If 20 answered question 2 correctly and 3 did not take the test then how many answered both questions correctly?
Select the correct option.
A) 30  B) 20  C) 23  D) 17  E) 19

Solution: Total number of enrolled students = 25   Number of students who did not take test = 3   Hence, number of students who took test = 25 - 3= 
25 - 3 = 22
22   Number of students who answered Q2 correctly=20, therefore, all students who took test answered Q2 correctly.   So, number of students who answered Q1 correctly, also answered Q2 correctly = 20.   Number of students who answered both Q1 & Q2 correctly = 20.   ANSWER:20
Answer: B
Three mobsters have arrived at the theater for the premiere of the film “Goodbuddies.” One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the three arrange themselves in line such that Frankie’s requirement is satisfied?
Choose the correct choice:
A) 5  B) 6  C) 7  D) 3  E) 8

Solution: 3 mobsters can stand in 3! ways = 6   in half of the cases one person will be ahead and in the other person in the other half.   thus 3 cases.   3
Answer: D
The average of first four prime numbers greater than 50 is?	Choose the correct choice from the following answers.
A) 50  B) 57  C) 89  D) 56  E) 60

Solution: 53 + 59 + 61 + 67= 
53 + 59 + 61 + 67 = 240
240/4= 
240/4 = 60
60   Answer: 60
Answer: E
3/5 * [(2/3 + 3/8)/2] - 1/16 =  Choose the correct option:	A) 1/4	B) 19/16	C) 15/16	D) 9/13	E) 0

Solution: We need to simplify the expression using PEMDAS.   Parentheses   Exponents   Multiplication andDivision   1/4ddition andSubtraction   The calculation of an equation or expression must be carried out in the following order:   1) Operations within parentheses (or absolute value bars or radicals)   2) Exponents   3) Multiplication and division from left to right   4) 1/4ddition and subtraction from left to right   The answer is 1/4.
Answer: A
Two trains, B and C, started simultaneously from opposite ends of a 50-mile route and traveled toward each other on parallel tracks. Train B, traveling at a constant rate, completed the 50-mile trip in 4 hours; Train C, traveling at a constant rate, completed the 50-mile trip in 2 hours. How many miles had train B traveled when it met train C?	Choose the correct option
A) 16.66 B) 24 C) 32.66 D) 42 E) 46

Solution: As the ratio of the rates of B and C is 2 to 4 then the distance covered at the time of the meeting (so after traveling the same time interval) would also be in that ratio, which means that B would cover 2/(2+4)=2/6 of 50 miles: 50*2/6=16.66 miles.   16.66nswer: 16.66.
Answer: A
40, 45, 50, 55, 60, 70, 75, 100, 100, 100.
The list above shows the scores of 10 schoolchildren on a certain test. If the standard deviation of the 10 scores is 22.3, rounded to the nearest tenth, how many of the scores are more than 1 standard deviation below the mean of the 10 scores? Select the correct option
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: The average of {40, 45, 50, 55, 60, 70, 75, 100, 100, 100} is 69.5.   1 standard deviation below the mean is 69.5 - 22.3 = 47.2. Hence there are two scores (40 and 45) more than 1 standard deviation below the mean.   Answer 2.
Answer: B
The slant height of a cone is 13 cm and radius of the base is 9 cm, find the curved surface of the cone? Choose the correct choice from the following options
A) 367  B) 378  C) 365  D) 26  E) 28

Solution: π * 13 * 9   = 367   367nswer:367
Answer: A
In 1995 a certain store had 1,900 tools in stock that had been purchased for $30 each. If 1,000 of these tools were sold in 1995 for $40 each and the remaining 800 were sold in 1996 for $50 each, how many greater was the gross profit on the tools sold in 1996 than the gross profit on those sold in 1995?  Answers:
A) $0  B) $6,000  C) $8,000  D) $32,000  E) $40,000

Solution: The keyword here isGross Profit:   Gross Profit = (Selling Price - Original Price)*(# of Items Sold)   So lets figure out what the Gross Profit for 1995:   GP1995 = (40-30)*(1000)= 
(40-30)*(1000) = 10_000
10000   And the Gross Profit for 1996:   GP1996= (50-30)*(900)= 
(50-30)*(900) = 18_000
18000   So the difference would be:   18000-10000= 
18000-10000 = 8_000
8000   ANSWER: $8,000 8000
Answer: C
Right across the street is a fast food outlet that sells chicken in the order of 6, 9 and 20 only. Determine the maximum number of chicken pieces that cannot be ordered from the outlet?
Options:
A) 43	B) 40	C) 50	D) 39	E) 45

Solution: A   43   Let us break the problem into different parts.   We know that after six, all the numbers that are divisible by three can be ordered. This is because we can expand them as the sum off sixes and nines.   After twenty six, the numbers that are divisible by three if subtracted by twenty can also be ordered.   After forty six, all the numbers will fit in one of the already discussed category. Thus all the numbers can be ordered.   So forty three is the last number that does not come under any of the already discussed category.   44 = 20 + 6 * 4, 45 = 6 * 6 + 9
Answer: A
Rohan's income doubles after every one year. If the initial income was Rs. 4 lakhs, What would be the income after 6 years? Pick
A) Rs. 2.24 crores  B) Rs. 2.28 crores  C) Rs. 2.52 crores  D) Rs. 2.56 crores  E) None of these

Solution: Explanation:   Income after 1 year = Rs. (4 * 21) lakhs   Income after 2 years = Rs. (4 * 2 * 2) lakhs = Rs. (4 x 22) lakhs   Income after 6 years = Rs. (4 * 26) lakhs = Rs. 256 lakhs = 2.56 crores.   ANSWER: Rs. 2.56 crores
Answer: D
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 72. What is the total number of students in the school?	Choose one: A) 72 B) 80 C) 120 D) 40 E) 150

Solution: Explanation: Let the number of students be x.   Then, Number of students above 8 years of age = (100 - 20)= 
(100 - 20) = 80
80% of x.   80% of x= 72 + 2/3 of 72   80/100x = 120   x = 150.   Answer: Option 150
Answer: E
A man has Rs. 288 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ? Options.
A) 45 B) 60 C) 75 D) 18 E) 95

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 288   16x = 288   x = 18.   Hence, total number of notes = 3x = 18.   Answer: Option 18
Answer: D
A person purchased a TV set for Rs. 19000 and a DVD player for Rs. 7000. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choose the correct answer:
A) 48%
B) 70%
C) 40%
D) 50%
E) 20%

Solution: The total CP = Rs. 19000 + Rs. 7000   = Rs. 26000 and SP   = Rs. 39000   Profit(%)   = (39000 - 26000)/26000 * 100= 
(39000 - 26000)/26000 * 100 = 50
50%   Answer: 50%
Answer: D
A cloth merchant has announced 25% rebate in prices. If one needs to have a rebate of Rs. 40. Then how many shirts each costing Rs.32 he should purchase? Options: A) 12 B) 69 C) 5 D) 32 E) 17

Solution: Explanation:   The number of shirts = X   Rebate = (25/100 × 32 X) = 8X   8X = 40 or X = 5   ANSWER:5
Answer: C
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?  Choose the correct choice from the following
A) 26 sec  B) 30 sec  C) 12 sec  D) 19 sec  E) 12 sec

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 sec
Answer: C
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs? Select:  A) 4.25  B) 5  C) 6.25  D) 7  E) 7.5

Solution: Required run rate = 282 - (3.2 x 10) =	250 = 6.25   40	40   6.25)
Answer: C
56: 65 :: 68 :? Choices:
A) 49  B) 84  C) 86  D) 64  E) 56

Solution: Ans 86   Reverse of 68   ANSWER:86
Answer: C
In an election between two candidates first candidate got 60% of votes polled and second Candidate got 260 votes. The total number of votes polled was?
Choose the most appropriate option.
A) votes B) votes C) votes D) votes E) votes

Solution: Total = 100 %,   First person got 60%   second person got remaining 40 % of votes.   than 40 % = 260   40% = 40×7 = 260   100% =100×7 =700 votes   votes)
Answer: A
The ratio of the capacity to do work of A and B is 3 : 2. If they together can complete a work in 18 days, then how long does A take to complete the work alone? Choose the correct choice from the following choices:  A) 45  B) 30  C) 24  D) 40  E) None of these

Solution: LLet A and B take 3x and 2x days to complete the work   1/3x+1/2x=1/18 ⇒x=15   So A will take 45 days.   45nswer: 45
Answer: A
Mike earns $14 per hour and Phil earns $10.5 per hour. Approximately how much less, as a percentage, does Phil earn than Mike per hour?	Select the correct option:
A) 25% B) 32.5% C) 37% D) 37.5% E) 40%

Solution: let it be x % less ,then   =14(1-x/100)=10.5   1-x/100=10.5/14   x=350/14= 
350/14 = 25
25%   25%NSWER:25%
Answer: A
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?	Pick: A) 42 6/9% B) 42 8/7% C) 49 6/7% D) 42 6/7% E) 32 6/7%

Solution: SP = CP + g   50 SP = 50 CP + 15 SP   35 SP = 50 CP   35 --- 15 CP gain   100 --- ? => 42 6/7%   Answer:42 6/7%
Answer: D
There are two numbers. If 10% of the first number is added to the second number, then the second number increases to its six-fifth. What is the ratio of the first number to the second number?	Choose the most appropriate option:
A) 3 : 2 B) 4 : 3 C) 8 : 7 D) 5 : 8 E) 2 : 1

Solution: Let the two numbers be x and y.   (1/10) * x + y = (6/5) * y   (1/10) * x = (1/5) * y   x/y = 2/1= 
2/1 = 2
2/1   The answer is 2 : 1.
Answer: E
There are 200 female managers in a certain company. Find the total number W of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers.	Select:
A) 300
B) W=400
C) W=500
D) W=600
E) None of these

Solution: {Managers} = {Female Managers} + {Male Managers};   We are told that the total number of managers in the company is 2/5 of all the employees , thus{Managers} = 2/5 (M + F), where M and F are number of female and male employees, respectively.   Also, we know that 2/5 of all male employees are managers:{Male Managers} = 2/5 * Mas well as there are total of 200 female managers:{Female Managers} = 200;   Thus:2/5 (M + F) = 200 + 2/5 * M-->F = 500.   Answer: W=500.
Answer: C
X starts a business with Rs.56000. Y joins in the business after 4 months with Rs.44000. What will be the ratio in which they should share the profit at the end of the year?  Choose the most appropriate option: A) 21:11 B) 11:21 C) 22:23 D) 25:23 E) None of these

Solution: Explanation :   Ratio in which they should share the profit   = Ratio of the investments multiplied by the time period   = 56000 * 12: 44000 * 8   = 56 * 12: 44 * 8   = 7*3: 11   = 21:11. 21:11nswer : Option 21:11
Answer: A
In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates (-3, 0), (7, 4), and (7, -4)? Choose the correct choice from the following answers
A) 20
B) 25
C) 30
D) 35
E) 40

Solution: The triangle is symmetric about the x-axis.   The part above the x-axis forms a triangle with a base of 10 and a height of 4.   The area of this part is (1/2)(10)(4).   We can double this to find the area of the whole triangle.   The total area is (2)(1/2)(10)(4) = 40.   The answer is 40.
Answer: E
The sum of two numbers is 184. If one-third of the one exceeds one-seventh of the other by 8, find the smaller number.
Choices.
A) 72  B) 64  C) 84  D) 12  E) 92

Solution: Let the numbers be x and (184-x). Then,   (x/3) - (184-x)/7 = 8   7x - 3(184-x) = 168   10x = 720, x = 72.   Hence the correct answer is option 72) 72.
Answer: A
A man sells an article at 15% loss. Had he sold it for Rs. 280/- more he could have gained 20%. What is the cost price of the article?
Pick one:
A) Rs.420/-
B) Rs.400/-
C) Rs.460/-
D) Rs.800/-
E) None of these

Solution: Explanation:   Short cut method:   Loss =====> 15 %   Profit ====> 20 %   ~   ----------------   35 % ---------> Rs. 280/-   100 % --------> Rs. 800/-   Answer: Option Rs.800/-
Answer: D
P software has coding line 5% more than N, N software has coding line 4/13 more than M. M software has 78 lines of coding. find P lines.	Select:	A) 106	B) 107	C) 108	D) 109	E) 110

Solution: M s/w has 78 line of code   N s/w has = 78+78*4/13= 
78+78*4/13 = 102
102 line of code   P s/w 5% more N' code 102+5.1= 
102+5.1 = 107.1
107.1   or   107 line of code   ANSWER:107
Answer: B
The bankers discount of a certain sum of money is Rs. 288 and the true discount on the same sum for the same time is Rs. 240. The sum due is:	Choose the most appropriate option
A) 1400
B) 1420
C) 1440
D) 1460
E) 1480

Solution: Sum = (B.D*T.D)/(B.D-T.D)   (288*240)/288-240;   1440   ANSWER: 1440
Answer: C
Fifty five percent of a number is 21 less than four fifth of that number. What is the number ?
Choose the correct choice from the following answers: A) 84 B) 140 C) 230 D) 130 E) 125

Solution: Let the number be x.   Then, 4*x/5 â€“(55% of x) = 21   4x/5 â€“ 55x/100 = 21   x = 84.   84nswer 84.
Answer: A
The only contents of a container are 4 blue disks and 8 green disks. If 3 disks are selected one after the other, and at random and without replacement from the container, what is the probability that 1 of the disks selected is blue, and 2 of the disks selected are green?
Choices.
A) 21/55
B) 28/55
C) 34/55
D) 5/8
E) 139/220

Solution: Prob of selecting one blue and two green is (4*8*7/12*11*10)   one blue and two green can be arranged in 3!/2! ways   hence the prob becomes 3*4*8*7/12*11*10=28/55   Correct answer is 28/55
Answer: B
Which of the following is an integer?
I. 12! / 6!
II. 12! / 8!
III. 12! / 9!6!  Select:
A) I only
B) II only
C) III only
D) I and II only
E) I, II, and III

Solution: 12!/6! = 12*11*10*9*8*7 which is an integer.   12!/8! = 12*11*10*9 which is an integer.   12!/9!6! = 12*11*10/ 6*5*4*3*2 = 11/6 which is not an integer.   The answer is I and II only.
Answer: D
a biker notices a certain number(2 digits number) on the milestone before starting the journey. After riding for an hour he notices a milestone with reversed digits of the previous number. Now after riding for another hour he notices that the number on a new milestone had same digits as the first one (in the same order) but with a "0" between the 2 digits. If the rider maintains a constant speed throughout, Calculate his speed.	Pick
A) 40 B) 45 C) 50 D) 55 E) 60

Solution: let first two digit number is xy = 10x + y   after one hour, the number is reversed yx = 10y + x   after another one hour, it x0y = 100x + y.   now xy < yx < x0y   so, (10y + x) - (10x + y) = (100x + y) - (10y + x)   or, 9(y - x) = 9(11x - y)   or, 12x = 2y   the above equation will be true only if x = 1 and y = 6.   hence, his speed is 45   ANSWER:45
Answer: B
Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 25% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?	Choose the correct option.
A) 5%	B) 10%	C) 15%	D) 25%	E) 30%

Solution: The formula is   n(AUBUC) = n(A)+n(B)+n(C)-B+A-N   where B is both (it will sum of (AB), (BC), (CA)).   and A is All   and N is neither   so plugging in we get   100 = 60+50+25+10-B-0   B = 45.   exactly two = 45 - 3(10) = 15   subtracting 10% three times as this value is including in all the (AB), (BC), (CA).   Answer 15%
Answer: C
Abel can complete a work in 10 days, Ben in 12 days and Carla in 16 days. All of them began the work together, but Abel had to leave after 2 days and Ben 4 days before the completion of the work. How long did the work last? Choose the most appropriate option
A) 6  B) 7  C) 7 2/3  D) 9  E) 10

Solution: Abel in the 2 days that he worked completed 1/5 of the job = 4/5 remains   Then if Ben had to leave 4 days before the completion, this means that Carla had to work alone for these 4 days in which she completed 1/4 of the job.   Now together, Ben and 7 2/3arla completed the job in (1/12 + 1/15)(t) = 11/20   3/20 (t) = 11/20 ---> t = 3 2/3   Therefore, these 3 2/3 days worked plus the 4 days that 7 2/3arla had to work by herself add to 7 2/3 days   Answer: 7 2/3
Answer: C
plot ABCD is as shown in figure, where AF = 30 m, CE = 40 m, ED = 50 m, AE = 120 m. Find the area of the plot ABCD?  Select the correct option:  A) 7207  B) 7206  C) 7203  D) 7200  E) 7201

Solution: Area of plot ABC7200 = Area of A7200E + Area of AFB + Area of BCEF   = 1/2 * 50 * 120 + 1/2 * 40 * 30 + 40 * 90 = 3000 + 600 + 3600= 
3000 + 600 + 3600 = 7_200
7200 sq.m   Answer: 7200
Answer: D
There are 1100 jelly beans divided between two jars, Jar X and Jar Y. If there are 500 fewer jelly beans in jar X than three times the number of beans in jar Y, how many beans are in jar X?	Options.
A) 550
B) 600
C) 650
D) 700
E) 750

Solution: X+Y=1100 so Y=1100-X   X=3Y-500   X=3(1100-X)-500   4X=2800   X=700   The answer is 700.
Answer: D
M = {-6, -5, -4, -3, -2}
T = {-3, -2, -1, 0, 1, 2, 3, 4, 5}
If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?	Choose the correct choice from the following choices
A) 0 B) 3/7 C) 2/5 D) 1/2 E) 5/9

Solution: We will have a negative product only if 1, 2, 3, 4, or 5 are selected from set T.   P(negative product) = 5/9   The answer is 5/9.
Answer: E
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place? Pick:
A) 2.98 km
B) 2.88 km
C) 6.88 km
D) 4.88 km
E) 3.88 km

Solution: M = 6   S = 1.2   DS = 6 + 1.2= 
6 + 1.2 = 7.2
7.2   US= 6 - 1.2= 
6 - 1.2 = 4.8
4.8   x/7.2 + x/4.8= 1   x = 2.88   Answer:2.88 km
Answer: B
Cindy's elephant balloon animal calls 3 long white balloons and 4 long black balloons. She needs to make 4 balloon animals for a child's party. If 12 long white balloons are used, then how many long black balloons are needed?	Choose the correct option.
A) 12	B) 36	C) 16	D) 48	E) 6

Solution: Number of long white balloons needed per animal 3   Total number of animals needed 4   Total number of white balloons needed 3x4 = 12   Number of long black balloons needed per animal 4   Total number of animals needed 4   Total number of long black balloons needed 4x4 = 16   Answer 16   The correct answer is 16
Answer: C
If a point (x,y) is randomly selected within the square shown in the figure above, (the vertices are on 1,1 1,-1, -1,1 -1,-1) what are
the T odds that x^2+y^2>1?
Choose the correct choice: A) 1. pi/4 B) 2. pi/16 C) 3. T=1-pi/4 D) 4. T=1-pi/16 E) 5.4-pi

Solution: area of the square will be 4, and the area of circle with center (0,0) and radius 1 will be pi.   then succesful outcomes = 4 - pi (the area where x2+y2 will be greater than 1)   total outcomes = 4   therefore probability = (4-pi)/4   3. T=1-pi/4
Answer: C
In a competitive examination in state A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each state?	Select.
A) 6000
B) 6500
C) 7000
D) 7200
E) 8000

Solution: Equal number of candidates appeared in each state.   In state A, 6% candidates got selected.   In state B, 7% candidates got selected.   Given that 80 more candidates got selected in state B than A.   Therefore, 1% of candidates appeared in each state   =   80   =80   => 100% of candidates appeared in each state   =   80   ×   100   =   8000   =80×100=8000   i.e., number of candidates appeared from each state = 8000   Option 8000
Answer: E
A can run 256 metre in 28 seconds and B in 32 seconds. By what distance A beat B?  Pick.
A) 32 metre
B) 28 metre
C) 23 metre
D) 15 metre
E) 28 metre

Solution: Clearly, 32 metre beats B by 4 seconds   Now find out how much B will run in these 4 seconds   Speed of B = Distance/Time taken by B=256/32= 
256/32 = 8
8 m/s   Distance covered by B in 4 seconds= Speed Ã— time =8Ã—4=32 metre   i.e., 32 metre beat B by 32 metre   32 metrenswer is 32 metre
Answer: A
If 1/4 kg of tomato costs 60 paise, how many paise will 200 grams cost ?
Choose the correct choice.
A) 45 paise B) 46 paise C) 47 paise D) 48 paise E) None of these

Solution: Explanation :   1/4 kg means 250 gm   Less weight, less price (Direct Proportion)   So,   250:200::60:x   =>x=200*60/250   =>x=48   So 200 gm will cost 48 paise.   Answer : 48 paise
Answer: D
6 mat-weavers can weave 6 mats in 6 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days? Choose the correct choice from the following answers: A) 9 B) 10 C) 11 D) 12 E) 14

Solution: Let the required number of mats be x   More mat-weavers, more mats (direct proportion)   More days, more mats (direct proportion)   Hence we can write as   (mat-weavers)6:8   }::6:x   (days)6:8   ⇒6×6×x=8×8×6   ⇒x=10   ANSWER:10
Answer: B
Mr X, a businessman, had income in the year 1995 such that he earned a profit of 20% on his investment in the business. In the year 1996 his investment was less by 6000 but still had the same income (Income = Investment + Profit) as that in 1995. Thus the per cent profit earned in 1996 increased by 6%. What was his investment in 1995?
Pick one
A) 100000
B) 100500
C) 126000
D) Data inadequate
E) None of these

Solution: Let the investment of X in 1995 be x.   ∴ Profit = x⁄5   ∴ Income = (x + x⁄5) = 6⁄5x   Investment of company X in 1996 would be (x – 6000) From the question,   (x - 6000) × 126⁄100 = 6⁄5x ⇒ x = 126000   Answer 126000
Answer: C
The last day of a century cannot be :	Choose the correct choice from the following answers.
A) Monday  B) Wednesday  C) Friday  D) Tuesday  E) None of these

Solution: 100 years contain 5 odd days. So, last day of 1st century is ‘Friday’   200 years contain (5 × 2) = 10 odd days = 3 odd days.   So, last day of 2nd century is ‘Wednesday’.   300 years contain (5 × 3) = 15 odd days = 1 odd day.   ∴ Last day of 3rd century is ‘Monday’.   400 years contain 0 odd day.   ∴ Last day of 4th century is ‘Sunday’   Since the order is continually kept in successive cycles,   we see that the last day of a century cannot be Tuesday,Thursday or Saturday.   Answer Tuesday
Answer: D