MU-NLPC/Calc-aqua_rat huggingface dataset:
A certain bus driver is paid a regular rate of $15 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $976 in total compensation, how many total hours did he work that week?	Pick
A) 56	B) 51	C) 59	D) 54	E) 52

Solution: For 40 hrs = 40*15= 
40*15 = 600
600   Excess= 976-600= 
976-600 = 376
376   For extra hours=.75(15)=11.25+15= 
11.25+15 = 26.25
26.25   Number of extra hrs=376/26.25=14.3=14 approx.   Total hrs =40+14= 
40+14 = 54
54   Answer 54
Answer: D
The mean of 20 values was 150. It was detected on rechecking that one value 160 was wrongly copied as 135 for the computation of the mean. Find the correct mean.
Choose the correct choice from the following options
A) 151 B) 149 C) 151.25 D) 148 E) None of the above

Solution: 151.25orrected mean = 150×20−135+160/20   = 3000−135+160/20   =3025/20= 
3025/20 = 605/4 = around 151.25
151.25   Answer 151.25
Answer: C
If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is ? Pick.
A) Rs.948 B) Rs.876 C) Rs.768 D) Rs.658 E) NONE OF THESE

Solution: Explanation:   P.W. =(100*T.D)/R*T = (100*168)/14*2 = 600.   Sum = (P.W. + T.D.) = Rs. (600 + 168) = Rs. 768.   ANSWER IS Rs.768
Answer: C
To fill a tank, 10 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?  Select.
A) 25  B) 50  C) 75  D) 100  E) 125

Solution: Let the capacity of 1 bucket = x.   Then, the capacity of tank = 10x.   New capacity of bucket = 2/5 x   Therefore, Required number of buckets = (10x)/(2x/5)   = (10x) x 5/2x   = 50/2= 
50/2 = 25
25   25nswer is 25.
Answer: A
The youngest of 4 children has siblings who are 3, 5, and 8 years older than she is. If the average (arithmetic mean) age of the 4 siblings is 21, what is the age of the youngest sibling?	Answers:
A) 17  B) 18  C) 19  D) 21  E) 22

Solution: Total age of the 4 sibling is 21 x 4 = 84 years ..   We already have the total age of all the children is 4y + 16   So, 4y + 16 = 84   Or, 4y = 68   Or, y = 17   So, Age of the youngest child is 17 years.   17NSWER:17
Answer: A
The average temperature on Wednesday in Chicago, St. Louis, and Pittsburgh was 27Â°C. The average temperature that same day of St. Louis, Pittsburgh, and Jersey City was 30Â°C. If temperature in Jersey City was 32Â°C, what was the temperature on Wednesday in Chicago?  Choose the most appropriate option.
A) 22Â°C
B) 23Â°C
C) 24Â°C
D) 25Â°C
E) 26Â°C

Solution: Solution: Average temperature for Chicago, St. Louis and Pittsburgh = 27Â°C   Total temperature = 3*27= 
3*27 = 81
81   Average temperature for St. Louis, Pittsburgh and Jersey City= 30Â°C   Total temperature = 3*30= 
3*30 = 90
90   Temperature in Jersey City= 32Â°C   Now,   (Chicago+St. Louis+Pittsburgh)-(St. Louis+Pittsburgh+Jersey City) = 81-90   Chicago - Jersey City = -9   Chicago = Jersey City - 9 = 23Â°C   Answer: Option 23Â°C
Answer: B
At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years  Choose the correct option:
A) 3%
B) 4%
C) 5%
D) 6%
E) None of these

Solution: Explanation:   Let Rate will be R%   1200(1+R100)2=134832100(1+R100)2=134832120000(1+R100)2=1123610000(1+R100)=106100=>R=6%   Answer: 6%
Answer: D
A train speeds past a pole in 15 seconds and a platform 110 meters long in 25 seconds. What is the length of the train?	Choose the correct answer:
A) 100 m  B) 125 m  C) 130 m  D) 150 m  E) 165 m

Solution: Let the length of the train be x meters.   The speed of the train is x / 15.   Then, x + 110 = 25*(x / 15)   10x = 1650   x = 165 meters   The answer is 165 m.
Answer: E
There are 3 numbers A, B and C. If A:B = 3/4, B:C = 4/5, C:D = 5/6, then A:D will be?  Choose the correct choice from the following options:
A) 1 : 2
B) 2 : 3
C) 3 : 5
D) 3 : 7
E) 3 : 8

Solution: Sol. A : B = 3 : 4, B : C = 4 : 5, C : D = 5 : 6   ∴A∶B∶C∶D= 3 : 4 : 5 : 6.   Thus, 1 : 2 : D = 3 : 6 or, 1 : 2   1 : 2
Answer: A
A train 500 m long can cross an electric pole in 20 sec and then find the speed of the train?
Select the correct option:
A) 17 Kmph  B) 78 Kmph  C) 90 Kmph  D) 18 Kmph  E) 19 Kmph

Solution: Length = Speed * time   Speed = L/T   S = 500/20= 
500/20 = 25
25 M/Sec   Speed= 25*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 90 Kmph   Answer: 90 Kmph
Answer: C
Two spherical balls lie on the ground touching. If one of the balls has a radius of 3 cm, and the point of contact is 5 cm above the ground, what is the radius of the other ball?  Choices:
A) 3 cm  B) 9 cm  C) 12 cm  D) 15 cm  E) none of the these

Solution: similar triangle properties..   2/r+3 = 3/r-3   giving r = 15.   Answer: 15 cm
Answer: D
Three workers have a productivity ratio of 1 to 3 to 5. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?  Choose the correct answer.
A) 25 to 3
B) 6 to 1
C) 5 to 1
D) 1 to 6
E) 1 to 5

Solution: The fastest worker who does 5 units of job worked for all 10 hours, so he did   5*10= 
  5*10 = 50
50 units of job;   The slowest worker who does 1 unit of job worked for only   4+2= 
  4+2 = 6
6 hours (first 4 hours and last 2 hours), so he did   1*6= 
  1*6 = 6
6 units of job;   The ratio thus is 50 to 6, or 25 to 3.   25 to 3nswer: 25 to 3
Answer: A
The sum and the product of two numbers are 24 and 23 respectively, the difference of the number is?	Choose one:
A) 1
B) 6
C) 7
D) 8
E) 22

Solution: 22xplanation:   x + y = 24   xy = 23   (x- y)2 = (x + y)2 - 4xy   (x- y)2 = 576- 92 => (x - y) = 22   Answer: 22
Answer: E
Of the 700 employees of Company X, 70 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 60 percent ?	Choose the correct choice from the following.
A) 200	B) 160	C) 112	D) 80	E) 25

Solution: Original (Long-Term is 70%)   Total = 700   Long-Term = .7(700) = 490   New (Long-Term is 60%)   New Total = 800 - y   New Long-Term =490 - y   490 - y = .6 (800 - y)   y = 25   Answer: 25
Answer: E
In a certain store, the profit is 1150% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Select the correct option
A) 30% B) 70% C) 900% D) 250% E) 120%

Solution: Let C.P. = Rs. 100. Then, profit = Rs. 1150, S.P. = Rs. 1250   New C.P. = 125% of Rs. 100 = Rs. 125.   New S.P. = Rs. 1250   Profit = 1250 - 125 = Rs. 1125   Required percentage = 1125/1250 * 100 = 900%   ANSWER:900%
Answer: C
At a certain food stand, the price of each apple is 40¢ and the price of each orange is 60¢. Mary selects a total of 10 apples and oranges from the food stand, and the average (arithmetic mean) price of the 10 pieces of fruit is 54¢. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is 45¢?	Choose the correct choice:
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: If the average price is 54, then Mary has 7 oranges and 3 apples (a ratio of 7:3).   For the average price to be 45, the ratio should be 1:3.   Mary must put back 6 oranges.   The answer is 6.
Answer: E
Two pipes can fill a tank in 15 minutes and 12 minutes. The outlet pipe can empty the tank in 20 minutes. If all the pipes are opened when, the tank is empty, then in how many minutes will it take to fill the tank? Pick one.
A) 12 B) 13 C) 11 D) 10 E) 9

Solution: Part of tank filled by all three pipes in one minute =   1/15 + 1/12 – 1/20 = (8+10-6) / 120   = 18-6 / 120   = 1/10   So, the tank becomes full in 10 minutes.   ANSWER:10
Answer: D
Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in  Choices.
A) 48  B) 99  C) 22  D) 27  E) 92

Solution: Explanation: Simple one. Let the total work to be done is 48 meters. Now Jake can dig 3 mts, Paul can dig 2 mts a day. Now all of them combined dug in 8 days so per day they dug   48/8= 
  48/8 = 6
6 mts. So Of these 8 mts, Hari capacity is 1 mt.   So he takes 48 /1= 
48 /1 = 48
48 days to complete the digging job.   48nswer:48
Answer: A
A train 150 m long pass a telegraph pole in 5 seconds. Find the speed of the train Select:  A) 66 km/hr  B) 108 km/hr  C) 72 km/hr  D) 79.2 km/hr  E) None

Solution: Sol.   Speed = [150/5] m/sec = [30 * 18/5] km/hr = 108 km/hr.   Answer 108 km/hr
Answer: B
A ship sails 4 degrees north, then 15 S. then 17 N. then 19 S. and has finally 11 degrees of south latitude. What was her latitude at starting ?
Choose the correct answer.
A) 0  B) 1  C) 2  D) 3  E) None of these

Solution: Let x = the latitude sought.   Then marking the northings +, and the southings -;   By the statement x + 4 - 15 + 17 - 19 = -11   And x =2.   Answer 2
Answer: C
A certain number of men can do a work in 65 days working 6 hours a day. If the number of men are decreased by one-fourth, then for how many hours per day should they work in order to complete the work in 40 days?	Pick one:  A) 33  B) 13  C) 88  D) 77  E) 12

Solution: Let the number of men initially be x. we have M1 D1 H1= M2 D2 H2   So, x * 65 * 6 = (3x)/4 * 40 * h2   => h2 = (65 * 6 * 4)/(3 * 40)= 
(65 * 6 * 4)/(3 * 40) = 13
13.   Answer: 13
Answer: B
The sale price sarees listed for Rs.400 after successive discount is 10% and 8% is?  Pick:
A) 338
B) 277
C) 331.2
D) 882
E) 212

Solution: 400*(90/100)*(92/100)= 
400*(90/100)*(92/100) = 1_656/5 = around 331.2
331.2   Answer: 331.2
Answer: C
The average age of a class of 36 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Pick one:  A) 45 Years  B) 53 Years  C) 49 Years  D) 52 Years  E) 54 Years

Solution: Total age of students is 36X16 = 576 Years Total age inclusive of teacher = 37X (16+1) = 629 So, Teacher's age i 629-576= 
 629-576 = 53
53Yrs There is a shortcut for these type of problems Teacher's age is 16+(36X1)=53 YearsAnswer : 53 Years
Answer: B
An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 3 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible?
--  Choose the correct choice from the following options:	A) 180	B) 19	C) 60	D) 12	E) 720

Solution: 5C3 * 4C2 * 3C2 = 10*6*3= 
10*6*3 = 180
180.   180nswer: 180.
Answer: A
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 30 overs to reach the target of 282 runs? Select the correct option:
A) 6.25
B) 5.5
C) 7.4
D) 8.3
E) 6.2

Solution: Explanation:   Runs scored in the first 10 overs = 10 × 3.2 = 32   Total runs = 282   Remaining runs to be scored = 282 - 32= 
282 - 32 = 250
250   Remaining overs= 30   Run rate needed = 250/30=8.3   Answer: Option 8.3
Answer: D
There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs.3432 , then what was the price of the article initially?  Choose the correct answer
A) Rs.2000 B) Rs.4000 C) Rs.3000 D) Rs.5000 E) Rs.6000

Solution: Let the price of the article, four years age be Rs. 100 in the 1st year, price of the article = 100 + 30 = Rs. 130. In the 2nd year, price = 130 - 20% of 130 = 130 - 26 = Rs. 104.   In the 3rd year, price = 104 + 10% of 104 = 104 + 10.4 = Rs. 114.40.   But present price of the article is Rs. 3432   for 114.4 ---> 100 ; 2288 ---> ?   Required price = (3432 * 100)/114.4 = 30 * 100 = Rs.3000.   Answer:Rs.3000
Answer: C
If 4% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is Choose the correct answer:
A) 250
B) 231
C) 200
D) 288
E) 111

Solution: Explanation:   Let C.P. be Rs. x.   Then, 4% of x = 350 - 340= 
350 - 340 = 10
10   x/25= 10 => x = 250   250nswer: 250
Answer: A
Calculate Tony''s average score in an exam if he obtained the following marks 53, 87, 89, 80 and 78 out of 100 in different subjects.	Pick one
A) 73.4	B) 74.4	C) 75.4	D) 76.4	E) 77.4

Solution: 77.4xplanation:     (53+87+89+80+78)/5= 
  (53+87+89+80+78)/5 = 387/5 = around 77.4
77.4   Answer: Option 77.4
Answer: E
In a police selections, the weight of Arun is marked as 64 kg instead of 48 kg. Find the percentage of correction required. Choose the correct choice from the following answers.
A) 30% B) 25% C) 24% D) 29% E) 34%

Solution: Explanation :   % correction = (64-48)/64 X 100 = 25%   Answer : 25%
Answer: B
Express a speed of 36 kmph in meters per second? Choose the correct choice:  A) 10  B) 88  C) 66  D) 81  E) 121

Solution: 36 * 5/18= 
36 * 5/18 = 10
10 mps   10nswer: 10
Answer: A
If 375*s is a perfect square then s can be which of the following numbers?
Choose the correct choice from the following options:  A) 21  B) 35  C) 54  D) 15  E) 150

Solution: My solution:   For a number to be a perfect square all the prime factors must be in pairs. So,   Prime factors of 375 are 5*5 *5 * 3   1) 21 = 3 * 7   2) 35 = 5 * 7   3) 54 = 2 * 3 * 3 * 3   4) 15 = 3 * 5   5) 150 = 2 * 3 * 5 * 5   So only answer choice D completes the pairing of 3, 5 . It adds a3, a5, and a7to the prime factors of 375 (3*5*5*5) and makes it a perfect square.15
Answer: D
What is the are of an equilateral triangle of side 2 cm?	Select:
A) √3
B) 64√9
C) 64√4
D) 64√3
E) 64√2

Solution: √3rea of an equilateral triangle = √3/4 S2   If S = 2, √3rea of triangle = √3/4 * 2 * 2= 
3/4 * 2 * 2 = 3
√3 cm2;   √3nswer: √3
Answer: A
The average age of 20 students of a class is 20 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 20th student is
Choose the correct choice
A) 186 B) 120 C) 152 D) 220 E) 220

Solution: Explanation:   Age of the 20th student = [20 * 20 - (14 * 5 + 16 * 9)] = (400-214)= 
(400-214) = 186
186 years.   186nswer: 186
Answer: A
The probability that A can solve the problem is 2/3 and B can solve it is 3/4. If both of them attemp the problem, then what is the probability that the problem get solved ?  Pick
A) 9/12  B) 10/12  C) 11/12  D) 1  E) 2

Solution: Explanation :   The event is defined as:   A solves the problem AND B does not solve the problem   OR   A doesn't solve the problem AND B solves the problem   OR   A solves the problem AND B solves the problem   Numerically this is equivalent to:   (2/3) x (1/4) + (1/3) x (3/4) + (2/3) x (3/4) = 11/12   Answer : 11/12
Answer: C
The sum of four consecutive even numbers is 84. What would be the smallest number? Choose one:
A) 33	B) 88	C) 70	D) 123	E) 18

Solution: Let the four consecutive even numbers be 2(x - 2), 2(x - 1), 2x, 2(x + 1)   Their sum = 8x - 4 = 84 => x =11   Smallest number is: 2(x - 2) = 18.   Answer: 18
Answer: E
A man spend 1/5 of his salary on food , 1/10 of his salary on house rent and 3/5 salary on clothes. he still has $15000 left with him. find salary..	Choose one:  A) $150000  B) $18000  C) $180000  D) $1800  E) None

Solution: [1/(x1 / y1 + x2/y2 + x3/y3)] * Total amount= Balance amount   [1-(1/5 + 1/10 + 3/5)} * total salary= $15000, = [1-9/10] * Total salary = $15000, Total salary = $15000*10= 
15000*10 = 150_000
$150000, correct answer ($150000)
Answer: A
By selling 99 pens, a trader gains the cost of 33 pens. Find his gain percentage? Pick:
A) 33 1/3%
B) 68 1/3%
C) 28 1/3%
D) 18 1/3%
E) 11 1/3%

Solution: Explanation:   Let the CP of each pen be Rs. 1.   CP of 99 pens = Rs. 99   Profit = Cost of 33 pens = Rs. 33   Profit% = 33/99 * 100 = 33 1/3%   33 1/3%nswer: 33 1/3%
Answer: A
A thief steals at a car at 3.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
Choose the correct answer:	A) 1 p.m	B) 3 p.m	C) 4 p.m	D) 5 p.m	E) 6 p.m

Solution: E   6 p.m   Suppose the thief is overtaken x hrs after 3.30 p.m.   Then, distance covered by the owner in (x - 1/2) hrs.   60x = 75(x - 1/2) => x = 5/2 hrs.   So, the thief is overtaken at 6 p.m.
Answer: E
In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?	Choose the correct choice from the following answers:	A) 80.33%	B) 82.33%	C) 83.33%	D) 73.33%	E) 93.33%

Solution: 82.33%   83.33%   Percentage of milk in the mixture formed = [80/100 (180) + 36] / (180 + 36) * 100% = (144 + 36)/216 * 100% = 5/6 * 100% = 83.33%.
Answer: B
Zam leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. Zam, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of Zam is 30 km\hr, find the speed of his son.  Options:
A) 15km/hr
B) 6 km/hr
C) 4.28 km/hr
D) 9 km/hr
E) 4.12 km/hr

Solution: Zam leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. Zam, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of Zam is 30 km\hr, find the speed of his son.   The distance from home to school is 30 km. The round trip distance = 60 km. Because he returns home 15 minutes early, I thought it might be easier to break his trip up into 8 identical 15 minute blocks, each of which he traveled at 7.5 km/hour.   Because we are dealing with a round trip here, Zam would have stopped 7.5 minutes short of the school. This means he traveled Distance=rate* time .5Km/hour*52.5 minutes or 26.25 KM. His son therefore traveled 3.75km/hour by the time he met his dad at 4:52.5. It took the son 52.5 minutes to travel 3.75 km. Because we are trying to find the son's rate per hour (i.e. 60 minutes) and we have his speed for 52.5 minutes it's best to convert to km/minute then multiply by 60 to get km/hour   3.75km/52.5 = .07 km/minute   .07km/minute*60 minutes = 4.28 km/hour.   Answer: C. 4.28 km/hr
Answer: C
Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 154 per Kg , the price of the third variety per Kg will be?
Choose the correct choice from the following options.
A) Rs. 147.50  B) Rs. 785.50  C) Rs. 176.50  D) Rs. 258.50  E) None of these

Solution: Explanation :   Since first and second varieties are mixed in equal proportions.   So, their average price =Rs. (126+135)/2.   =>Rs. 130.50.   So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1.   We have to find x.   By the rule of alligation, we have:   Cost of 1 kg Cost of 1 kg   of 1st kind of 2nd kind   (Rs. 130.50) (Rs. x)   \ /   Mean Price   (Rs. 154)   / \   xâˆ’154 22.50   =>xâˆ’(154/22.50)=1.   =>xâˆ’154=22.50.   =>x= 176.50 Rs.   Answer : Rs. 176.50
Answer: C
Which is the following is divisible by 11	Options.
A) A)4305
B) B)4825
C) C)1635
D) D)4805
E) E)4906

Solution: Explanation:   Sum of first 'n' natural numbers = n(n + 1)/2   Sum of first 9 natural numbers = 5(5 + 1)//2 = 5 x 3 = 15   Sum of first 99 natural numbers = 55(55 + 1)//2 = 55 x 30 = 1650   1650 - 15= 
1650 - 15 = 1_635
1635   Answer: Option 1635
Answer: C
If one third of one fourth of number is 15, then three tenth of number is	Options
A) 34	B) 44	C) 54	D) 64	E) 74

Solution: Explanation:   Let the number is x,   1/3of1/4∗x=15   =>x=15×12=180   =>so3/10×x=3/10×180=54   Option 54
Answer: C
A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his bank balance doubled to $2840. What is the average monthly balance maintained by John in his account during the year?  Choose the correct choice from the following.
A) 2840 B) 5680 C) 6840 D) 7540 E) 14200

Solution: Soln:-   Bank balance is doubled with accumulation of interest to 2840..   this means INTEREST is   2840/2= 
  2840/2 = 1_420
1420 for entire year..   although since interest is 10% of avg MONthly balance, it becomes 14200..   ANSW14200R:14200
Answer: E
9.8 , 9.8 , 9.9 , 9.9 , 10.0 , 10.0 , 10.1 , 10.5
The mean and the standard deviation of the 8 numbers shown above is 10 and 0.212 respectively. What percent of the 8 numbers are within 1 standard deviation of the mean?	Choose the correct option:
A) 90.5%	B) 87.5%	C) 80.5%	D) 77.5%	E) 70.5%

Solution: Within 1 standard deviation of the mean- means in the range {mean-1*sd; mean+1*sd} = {10-1*0.212; 10+0.3} = {9.788; 10.212}.   From the 8 listed numbers, 7 are within this range so 6/8=87.5%.   Answer: 87.5%.
Answer: B
If 100<x<199 and 9<y<100, then the product xy CANNOT be equal to:  Pick one: A) 19,104 B) 19,303 C) 19,956.732 D) 19,502 E) 19,809

Solution: Correct Answer: (C)   Determine the range of xy by multiplying the two extremes of each individual range together. The smallest value of xy must be greater than 100 * 9. The largest value must be less than 199 * 100. This means that 900 < xy < 19,900. (19,956.732) is outside of this range, so it is not a possible product of xy.
Answer: C
What is the percentage increase in the area of a rectangle, if each of its sides is increased by
20 % ? Options:
A) 45%
B) 44%
C) 40%
D) 42%
E) 50%

Solution: (20+20+ 20*20/100)= 
(20+20+ 20*20/100) = 44
44%   AREA INCREASED 44%Y 44%   THEN ORIGINAL AREA   10*10= 
  10*10 = 100
100   LENGTH IS INCRESED 44%Y 20% NEW LENGTH= 10+2= 
10+2 = 12
12   44%READTH IS INCREASED 20% NEW 44%READTH= 10 + 2 -12   NEW AREA = 12 * 12= 
12 * 12 = 144
144   INCREASE IN AREA   144 - 100= 
  144 - 100 = 44
44   PERCENTAGE INCREASE IN AREA= INCREASE IN AREA / ORIGINAL AREA = 44/100 * 100= 
44/100 * 100 = 44
44   ANSWER 44%
Answer: B
A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
Choose one:
A) 24 B) 30 C) 35 D) 12 E) 10

Solution: b=188-1/2 = 1/24   =>24 days   24NSWER 24
Answer: A
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 650 resolutions?  Choose the correct choice from the following answers:
A) 794 m  B) 704 m  C) 454 m  D) 186 m  E) 915.2 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 650 resolutions.   = 650 * 2 * 22/7 * 22.4= 
650 * 2 * 22/7 * 22.4 = 91_520
91520 cm= 915.2 m   Answer: 915.2 m
Answer: E
A train covers a distance of 20 km in 20 min. If it takes 9 sec to pass a telegraph post, then the length of the train is?  Pick
A) 150m B) 200 m C) 120 m D) 225 m E) 160 m

Solution: Speed = (20/20 * 60) km/hr   = (60 * 5/18) m/sec   = 50/3 m/sec.   Length of the train   = 50/3 *9= 
50/3 *9 = 150
150 m.   150mnswer: 150m
Answer: A
A and B can do a piece of work in 8 days. B and C can do it in 12 days and A and C in 16 days. Working together they will complete the work in how many days?	Select the correct option
A) 7.39 days	B) 7.78 days	C) 7.34 days	D) 7.38 days	E) 3.38 days

Solution: A + B = 1/8   B + C = 1/12   C + A = 1/16   -------------------------------   2(A + B +C) = 1/8 + 1/12 + 1/16 = 13/48   A + B +C = 13/96   96/13 = 7.38 days   Answer: 7.38 days
Answer: D
An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?	Choose the correct choice from the following choices:
A) 112
B) 180
C) 288
D) 278
E) 292

Solution: Explanation:   Angle traced by the hour hand in 6 hours=(360/12)*6   Answer: 180) 180
Answer: B