MU-NLPC/Calc-aqua_rat huggingface dataset:
Mr. JACK invested in Fund X and Fund Y. The total amount she invested, in both funds combined, was $100,000. In one year, Fund X paid 33% and Fund Y paid 15%. The interest earned in Fund Y was exactly $500 greater than the interest earned in Fund X. How much did Ms. Tom invest in Fund X?	Choose the correct choice from the following answers:
A) 31,041.66	B) 45,041.66	C) 37,041.78	D) 78,041.90	E) 99,041.78

Solution: X+Y=100,000   0.15Y=0.3331,041.66+500   Take away decimals first: 15Y+33X+50,000   Isolate first equation to solve for X (your goal): Y=100,000-Y   Plug in for B:   15(100,000-X)=33X+30,000   1,500,000-15X=33X+10,000   1,490,000=48X   1,490,000/48=X   X=31,041.66=31,041.66nswer Choice 31,041.66
Answer: A
David covered a distance of 50 miles on his first trip. On a later trip he traveled 75 miles while going three times as fast. His new time compared with the old time was:	Pick one:  A) twice as much  B) three times as much  C) the same  D) half as much  E) a third as much

Solution: Let t be the time of the first trip.   On the later trip, David can travel 150 miles in time t.   The trip of 75 miles takes t/2.   The answer is half as much.
Answer: D
A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train? Choose the correct choice from the following answers.
A) 190 metres
B) 160 metres
C) 200 metres
D) 120 metres
E) 130 metres

Solution: Explanation:   Speed of the train, v = 40 km/hr = 40000/3600 m/s = 400/36 m/s   Time taken to cross, t = 18 s   Distance 200 metresovered, d = vt = (400/36)× 18 = 200 m   Distance covered is equal to the length of the train = 200 m   Answer: Option 200 metres
Answer: C
From a Group of 8 People, Including George and Nina, 3 people are to be selected at random to work on a certain project. What is the probability that 3 people selected will include George but not Nina
Options:
A) 5/56 B) 9/56 C) 15/56 D) 21/56 E) 25/56

Solution: Number of ways of selecting 3 people out of 8 people = 8C3   In the three members George will always be there in the team. At this step we have vacancy for 2 more members and 7 members are available. Lina cannot be there in the team. So 2 members have to be selected and the number of available members = 7 - Lina = 6   Number of ways to form a 3 member team that includes George and excludes Lina = 615/562   Probability = 615/562/815/563 = 15/56   Answer: 15/56
Answer: C
There are 5 bags three of which each contains 5 white and 2 black balls, and remaining 2 bags each contains 1 white and 4 black ball; a white ball has been drawn, find the chance that it came from first group.
Choose one:	A) 2/7	B) 6/35	C) 8/25	D) 75/89	E) 3/175

Solution: Please go through my solution and suggest any mistake.   Chances of selecting a white ball from group 1: 5/7----------------------Chances of selecting a white ball from group 2: 1/5   Thus combined probability of section of white ball from group 1:   3/5 x 5/7 = 3/7   Thus combined probability of section of white ball from group 2:   2/5 x 1/5 = 2/25   Out of these chances, chance of occurrence of first case : (3/7) / (3/7 + 2/25) = 75/89   75/89
Answer: D
In 1995, the Jims spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Jims cut back their water usage. By how much must the Jims have reduce their 1996 water usage to pay exactly the same amount in 1996 as they paid in 1995? Select.
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 Jims.   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
In 10 years, P will be as old as Q is now. Twenty years ago, Q was twice as old as P was then. How old is P now? Choose the correct choice from the following answers
A) 30  B) 35  C) 40  D) 45  E) 50

Solution: Q = P+10   Q-20 = 2(P-20)   P-10 = 2P-40   P = 30   The answer is 30.
Answer: A
Excluding stoppages, the speed of a bus is 72 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?  Choose the correct choice from the following options.
A) 7 min B) 8 min C) 9 min D) 10 min E) 55.8 min

Solution: Due to stoppages, it covers 9 km less.   Time taken to cover 67 km =(67/72)x60 = 55.8 min   answer : 55.8 min
Answer: E
Bruce and Bhishma are running on a circular track of length 600m. Speed of Bruce is 30 m/s and that of Bhishma is 20 m/s .They start fro the same point at the same time in the same direction. When will they meet again for the first time?  Choose the correct answer:	A) 40	B) 45	C) 50	D) 60	E) 70

Solution: Actually Arjun has to make a lead of 600 m, because when Arjun will be 600m ahead of Bhishma, they will be together again as a person when completes the total length it starts retracing he same path and thus Arjun and Bhishma can be together again.   Since , they make a difference of 10 m in 1 second. so, he will create 600m difference in 60 second.   60
Answer: D
A snail, climbing a 20 feet high wall, climbs up 4 feet on the first day but slides down 2 feet on the second. It climbs 4 feet on the third day and slides down again 2 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?
Choose the most appropriate option:
A) 12  B) 16  C) 17  D) 20  E) 21

Solution: total transaction in two days = 4-2= 
4-2 = 2
2 feet   in 16 days it will climb 16 feet   on the 17th day , the snail will climb 4 feet , thus reaching the top   therefore , total no of days required=17   ANSWER:17
Answer: C
The total population of dogs in a community is estimated to be 50% male and 50% female.The total number of black dogs is 20% greater than the total number of male black dogs. If the total number of female dogs is eight times more than the number of female black dogs what percentage of male dogs is black? Pick one
A) 84.4	B) 70.2	C) 80.1	D) 60.8	E) 62.5

Solution: Since we are dealing in percentage let us pick 100 as the number of black male dogs.   That means that the total number of black dogs is= 120 (20% more),   therefore the number of black female dogs is 20.   The total number of female dogs is 8x the number of black female= 20*8= 
20*8 = 160
160 female dogs.   Male dogs are 50% of the dogs, and because there are 160 female dogs, then there must also be 160 male dogs   Therefore percentage of male dogs that are black= 100/160*100= 
100/160*100 = 125/2 = around 62.5
62.5   Correct option is 62.5
Answer: E
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost? Select the correct option:
A) Rs.500 B) Rs.250 C) Rs.896 D) Rs.789 E) Rs.999

Solution: Explanation:   a^2 = 3136 => a = 56   56 * 4 * 3= 
56 * 4 * 3 = 672
672 – 6= 666 * 1.5 =Rs. 999   Answer : Rs.999
Answer: E
A set of data consists of the following 6 numbers: 0, 2, 4, 6,10 and 8. Which two numbers, if added to create a set of 7 numbers, will result in a new standard deviation that is close to the standard deviation for the original 5 numbers? Choose the correct choice from the following options:
A) -1 and 9	B) 4 and 4	C) 3 and 5	D) 2 and 6	E) 0 and 8

Solution: If you are in for some calculations , this is how I got to it   mean = 4   sd = \sqrt{8} = 2.8   Expected values for the SD to not change are - One value below SD from mean is (4 - 2.8)= 
(4 - 2.8) = 1.2
1.2 , and one value above SD is (4 + 2.8)= 
(4 + 2.8) = 6.8
6.8   This would mean , adding 1.2 ans 6.8 would have no impact on the SD . SD remains the same when these two numbers are added. Now for SD to change the least , we need to add two values that are closest to these two values.   Hence any two values that are closest to 1.2 and 6.8 would change the SD , the least.   1. -1 , 9   distance between (1,9) and (1.2 and 6.8) is 2.2 and 2.2   2. 4 , 4   distance etween (4,4) and (1.2 , 6.8) is 2.8 and 2.8   3. 3 , 5   Distance is - 1.8 and 1.8   4. 2 , 6   Distance is - 0.8 and 0.8   5. 0 , 8   Distnace is - 1.2 and 1.2   Hence from above , we see that adding 0 and 8 , results in a value that would change the SD to the least. Hence 0 and 8
Answer: E
Of the 300 employees of a certain company, 65 are accountants. Two employees of the company will be selected at random. Which of the following is closest to the probability that neither of the employees selected will be an accountant? Pick.
A) 0.3  B) 0.4  C) 0.5  D) 0.6  E) 0.7

Solution: Total = 300   Accountants = 65   Non Accountants = 300 - 65= 
300 - 65 = 235
235   Two employees of the company will be selected at random so probability that neither of the employees selected will be an accountant is   235 C 2 / 300 C 2= 235 * 234 / 300 * 299 = 0.611 ~ 0.6   Hence 0.6 0.6 is the correct answer
Answer: D
A number when multiplied by 3 and then subtracted by 2 becomes the reverse of itself. Can you find out which smallest number is that?
Select.
A) 28	B) 11	C) 10	D) 35	E) 47

Solution: A   28 is the required number.   28 * 3 - 2= 
28 * 3 - 2 = 82
82.
Answer: A
In country Z, 10% of the people do not have a university diploma but have the job of their choice, and 30% of the people who do not have the job of their choice have a university diploma. If 40% of the people have the job of their choice, what percent of the people have a university diploma?
Pick one
A) 35%	B) 48%	C) 55%	D) 65%	E) 75%

Solution: Setting up a matrix is how I solve this one.   Diploma No Diploma Totals   Job of Choice w/Diploma   Job of Choice w/o Diploma = 10%   Job of Choice Total = 40%   Not Job of Choice with Diploma =.3X   Not Job of Choice w/o Diploma= .7X   Total Not Job of Choice = X   Total with Diploma   Total without Diploma   Total citizen = 100   If 40% of people have their job of choice, then 60% of people do NOT have their job of choice. 30% of 60% = 18%. We can also see that 30% of the people have their job of choice and a diploma (40%-10%=30%). 30% + 18% = 48%. Therefore 48% of the people in Country Z have a diploma.   Ans 48%
Answer: B
A salesmanâ€™s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 100 more than that by the previous schema, his sales were worth?
Choose the correct choice from the following answers.
A) s. 14,000	B) s. 12,000	C) s. 32,000	D) s. 40,000	E) s. 50,000

Solution: [1000 + (X-4000) * (2.5/100)] - X * (5/100) = 100   X = 32000   ANSWER:s. 32,000
Answer: C
In one alloy there is 10% chromium while in another alloy it is 6%. 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.
Select
A) 7.2%
B) 9%
C) 9.2%
D) 8.6%
E) 8.4%

Solution: The amount of chromium in the new 15+35= 
15+35 = 50
50 kg alloy is  0.10*15+0.06*35= 
 0.10*15+0.06*35 = 3.6
3.6 kg, so the percentage is  3.6/50*100= 
 3.6/50*100 = 7.2
7.2%.   7.2%nswer: 7.2%.
Answer: A
A pharmaceutical company received $2 million in royalties on the first $12; million in sales of generic equivalent of one of its products and then $4 million in royalties on the next $48 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $12 million in sales to the next $48 million in sales?	Select.
A) 20%
B) 25%
C) 30%
D) 50%
E) 55%

Solution: change in ratio of royalties to sales = 2/12 -4/48 = 1/12   % decrease = (1/12)/(2/12) *100= 
(1/12)/(2/12) *100 = 50
50% (approx)   Answer: 50%)
Answer: D
A do 2/5 part of work in 12 days and B do 3/4 part of work in 15 days.so,both together in how many days can finish the work?	Choose the correct choice from the following answers:
A) 15  B) 8  C) 10  D) 12  E) 14

Solution: work of A in 12 days=2/5,work of A in 1 days=1/30   work of B in 15 days =3/4,work of B in 1 days=1/20   (A+B) work in 1 days=[1/30+1/20]=1/12   so,both together finish the work in 12 days   answer 12
Answer: D
Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if pipe B is turned off after Choose the most appropriate option: A) 5 min B) 9 min C) 10 min D) 15 min E) 16 min

Solution: Explanation:   Solution 1   Pipe A alone can fill the cistern in 37 1/2 = 75/2 minutes. Since it was open for 30 minutes, part of the cistern filled by pipe A =2/75 X 30 =4/5   So the remaining 1/5 part is filled by pipe B.   Pipe B can fill the cistern in 45 minutes. So, time required to fill 1/5 part   =45/5= 
45/5 = 9
9 minutes.   i.e., pipe B is turned off after 9 minutes.   ANSWER IS 9 min
Answer: B
Which of the following best approximates the value of q if 5^29+5^11=5^q ?
Choose one
A) 40  B) 30  C) 29  D) 27  E) 17

Solution: We have: 5^29+5^11=5^q   ==> because 5^11 > 0 --> 5^q MUST be equal or greater than 5^29 ==>q MUST be equal or greater than 29   ==> Option D and E are out immediately.   Divide both sides by 5^q and q >= 29   We have:   5^(29-q) + 5^11/5^q = 1   Because q >= 29 ==>5^11/5^q = 0.0000xyz, that is very small,we can ignore it.   Thus, 5^(29-q) must be approximately 1   ==> 29-q = 0 ==> q is approximately 29   29 is the answer.
Answer: C
Which is the smallest no which divides 2880 and gives a perfect square?	Choices
A) 4	B) 9	C) 3	D) 5	E) 6

Solution: Breaking 2880 into multiples:   2880 = 5*9*64 = 5 * 3^2 * 8^2 = 5* 24^2   5 being a prime number with only one multiple will divide 2880 & result in 9*64 which is a perfect square (9*64= 24^2 = 576)   ANSWER:5
Answer: D
One morning is starts to snow at a constant rate. Later, at 6:00am, a snow plow sets out to clear a straight street. The plow can remove a fixed volume of snow per unit time, in other words its speed it inversely proportional to the depth of the snow. If the plow covered twice as much distance in the first hour as the second hour, what time did it start snowing?	Answers:
A) 2:22:55am B) 5:22:55am C) 1:22:55am D) 6:22:55am E) 7:22:55am

Solution: Let the depth of snow at time t to be t units. The speed of the plow at time t will be 1/t. Define t=0 as the time it started snowing and t=x the time the plow started.   The distance covered in the first hour is the integral from x to x+1 of 1/t dt. The antiderivative of 1/t is ln(t) so the total distance covered in the first hour is ln((x+1)/x).   By the same reasoning the distance covered in the second hour in ln((x+2)/(x+1)).   Using the fact that it the plow traveled twice as far in the first hour as the second: ln((x+1)/x) = ln((x+2)/(x+1))2   Exp both sides and you have (x+1)/x = ((x+2)/(x+1))2.   Solving for x you get x=(51/2-1)/2, which is the number of hours that elapsed between the time it started snowing and the snow plow left.   It started snowing at (51/2-1)/2 hours before 6:00am, or 5:22:55am.   correct answer 5:22:55am
Answer: B
Joe went on a diet 4 months ago when he weighed 222 pounds. If he now weighs 198 pounds and continues to lose at the same average monthly rate, in approximately how many months will he weigh 180 pounds?  Choose the correct choice from the following answers:  A) 3  B) 3.5  C) 3  D) 4.5  E) 5

Solution: 222 - 198= 
222 - 198 = 24
24 pounds lost in 4 months    24/4= 
 24/4 = 6
6, so Joe is losing weight at a rate of 6 pounds per month.   ...in approximately how many months will he weigh 180 pounds?   A simple approach is to just list the weights.   Now: 198 lbs   In 1 month: 192 lbs   In 2 months: 186 lbs   In 3 months: 180 lbs   Answer: 3
Answer: C
Three consecutive odd integers are in increasing order such that the sum of the last two integers is 13 more than the first integer. Find the three integers?  Pick.
A) 7, 9, 29	B) 7, 2, 10	C) 7, 9, 10	D) 7, 9, 11	E) 7, 9, 29

Solution: Explanation:   Let the three consecutive odd integers be x, x + 2 and x + 4 respectively.   x + 4 + x + 2 = x + 13 => x = 7   Hence three consecutive odd integers are 7, 9 and 11.   Answer:7, 9, 11
Answer: D
Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.” Every day Dave chooses an outfit consisting of one of each of the following garments: jacket, tie, shirt, pants, boxers, right sock, left sock, right shoe, left shoe. If Dave has more than one of each of the listed garments, and can make 2400 different outfits, then for how many garments does Dave have exactly five choices?	Choose one:  A) 0  B) 1  C) 2  D) 3  E) 4

Solution: 2400 = 24*100 = 24*5^2*2^2   Dave has exactly 5 choices for two garments.   The answer is 2.
Answer: C
What is the sum of the different positive prime factors of 1040?
Choose the most appropriate option.
A) 10 B) 14 C) 15 D) 18 E) 20

Solution: I think answer is 20: 20   1040 = 2*2*2*2*5*13   Sum of theDIFF20R20NTpositive prime factors = 2 + 5 + 13= 
2 + 5 + 13 = 20
20
Answer: E
In Arun's company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year, 11% of the employees earn $43,000 a year and 5% of the employees earn $49,000 a year. What is the median salary for the company?	Choose the correct choice from the following:
A) 43.0
B) 45.5
C) 46.0
D) 49.0
E) 50.0

Solution: In Arun's company 60% of the employees earn less than $50,000 a year, 50 and 51 employee will be each 43K. hence median = (43K+43k)/2
Answer: A
Look at this series: V, VIII, XI, XIV, XVII, __, ... What number should fill the blank?	Choose the correct choice from the following choices.
A) IX	B) XXIII	C) XV	D) XX	E) None

Solution: Explanation: This is a simple addition series; each number is 3 more than the previous number.   Answer: XX
Answer: D
A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?	Pick one:  A) 2775  B) 2888  C) 1888  D) 4200  E) 2589

Solution: 15:25 => 3:5   9600*10/100= 
9600*10/100 = 960
960   9600 - 960= 
9600 - 960 = 8_640
8640   8640*3/8= 
8640*3/8 = 3_240
3240 + 960= 
3240 + 960 = 4_200
4200   Answer:4200
Answer: D
Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank? Pick one.
A) 12 min. 40 sec.
B) 13 min. 40 sec.
C) 14 min. 30 sec.
D) 14 min. 20 sec.
E) 14 min. 40 sec.

Solution: Part filled in 4 minutes = 4	(1/15+1/20)=7/15.   Remaining part =1 -	7/15	=8/15   Part filled by B in 1 minute = 1/20   1/20	:8/15:: 1 : x   x =(8/15 x 1 x 20)= 10 2/3 min = 10 min. 40 sec.   The tank will be full in (4 min. + 10 min. + 40 sec.) = 14 min. 40 sec.   Answer is 14 min. 40 sec.
Answer: E
The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then what is the price per kg of the mixed variety of material?	Choose the most appropriate option:	A) Rs. 19	B) Rs. 16	C) Rs. 18	D) Rs. 17	E) Rs. 21

Solution: Explanation:   Solution 1   Cost Price(CP) of Type 1 material is Rs. 15 per kg   Cost Price(CP) of Type 2 material is Rs. 20 per kg   Type 1 and Type 2 are mixed in the ratio of 2 : 3.   Hence Rs. 18ost Price(Rs. 18P) of the resultant mixture   =(30+60)/5=90/5= 
90/5 = 18
18=> Price per kg of the mixed variety of material =Rs.18   Answer IS Rs. 18
Answer: C
Sabrina is contemplating a job switch. She is thinking of leaving her job paying $85,000 per year to accept a sales job paying $40,000 per year plus 15 percent commission for each sale made. If each of her sales is for $1,500, what is the least number of sales she must make per year if she is not to lose money because of the job change?	Choices:
A) 200  B) 177  C) 178  D) 377  E) 378

Solution: Lets say she sales x items so her commission will be : x * 1500*15/100 = 225x   Salary difference is:   85000 - 40000= 
  85000 - 40000 = 45_000
45000   So commission must at least be equal to salary difference i.e. x= 45000/225= 
45000/225 = 200
200 (Approx).   Hence answer is 200
Answer: A
The perimeter of a semi circle is 144 cm then the radius is?	Choices:
A) 87
B) 28
C) 26
D) 27
E) 25

Solution: 36/7   r = 144   => r = 28   Answer: 28
Answer: B
In a store the product A costs twice as much as the product B minus the cost of product C, If 4 products B plus 2 products C bought the price is $ 8, if 2 products you buy A plus 2 products B the price is $ 6, which is the price of the product C?
Options:
A) 1.2
B) 2
C) 1.5
D) 1.8
E) 2.4

Solution: We propose equations products   1.2 = 2B-C   4B + 2C = 8 $   21.2 + 2B = 6 $   substituting   C = 1.2 $   1.2nswer: 1.2
Answer: A
How long will a boy take to run round a square field of side 40 meters, if he runs at the rate of 12km/hr?	Choose the most appropriate option.
A) 52sec  B) 48sec  C) 60sec  D) 25sec  E) 39sec

Solution: Speed = 12 km/hr = 12*5/18 = 10/3 m/sec   Distance = 40*4= 
40*4 = 160
160m   Time taken= 160*3/10= 
160*3/10 = 48
48sec   Answer is 48sec
Answer: B
Seven people went to a restaurant for dinner. Six of them spent $11 each on their meals and the seventh person spent $6 more than the average expenditure of all seven people. What was the total amount of money that the seven people spent?
Select the correct option
A) $80
B) $81
C) $82
D) $83
E) $84

Solution: Let T be the total amount of money spent.   6*11 + (T/7 + 6) = T   72 = 6T/7   T = (7*72)/6= 
(7*72)/6 = 84
84   The answer is $84.
Answer: E
A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?	Choose the most appropriate option.
A) 165  B) 178  C) 180  D) 198  E) 200

Solution: 200xplanation:   The number of ways to select two men and three women = ⁵C₂ * ⁶C₃   = (5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2)= 
(5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2) = 200
200   200)
Answer: E
3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 155kg then find the average weight of all the 7 rounds?  Choose the correct choice from the following answers
A) 98.5 kgs	B) 88.5 kgs	C) 86.5 kgs	D) 67.5 kgs	E) 88.2 kgs

Solution: Average weight = [(a + b + c + (a+b) + (b+c) + (c+a)+(a+b+c)] / 7 = 4 (a+b+c) /7 = 4 x 155/7 = 88.5 kgs   Answer:88.5 kgs
Answer: B
Tabby is training for a triathlon. She swims at a speed of 1 mile per hour. She runs at a speed of 10 miles per hour. She wants to figure out her average speed for these two events. What is the correct answer for her?
Choose the correct choice from the following choices.
A) 8 mph  B) 5.5 mph  C) 3.5 mph  D) 4 mph  E) 0.5 mph

Solution: (1 mph +10 mph)/2 = 5.5 mph   Correct option is: 5.5 mph
Answer: B
Using all the letters of the word "WEDNESDAY", how many different words can be formed?
Choose one
A) A)7  B) B)9!  C) C)8  D) D)7!  E) E)3

Solution: Explanation:   Total number of letters = 9   Using these letters the number of 9 letters words formed is 8!.   Answer: Option 9!
Answer: B
If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004? Choose the correct choice from the following choices:  A) Sunday  B) Saturday  C) Tuesday  D) Wednesday  E) None of these

Solution: Solution   The year 2004 is a leap year. So, it has 2 odd days.   But, Feb 2004 not included because we are calculating from March 2004 to March 2005. So it has 1 odd day only.   The day on 6th March, 2005 will be 1 day beyond the day on 6th March, 2004. Given that, 6th March, 2005 is Monday.   6th March, 2004 is Sunday (1 day before to 6th March, 2005) Sundaynswer Sunday
Answer: A
How many three digits number can be formed by using the digits 4,5,6,7,8,9 if the repetition of digits allowed? Pick: A) 106 B) 108. C) 109 D) 110 E) 320

Solution: For a number to be odd we must have 5,7 or 9 at the unit place. So there 3 ways of filling the unit place. Since the repetion of digits is allowed, each of the tens and hundreds place can filled in 6ways. Hence required number of numbers = 3x6x6=108. Answer : 108.
Answer: B