MU-NLPC/Calc-aqua_rat huggingface dataset:
8 men, working 8 hours a day can complete a work in 24 days. How many hours a day must 12 men work to complete the same work in 16 days? Choose the correct choice
A) 6	B) 7	C) 8	D) 9	E) 10

Solution: The number of hours required to complete the work is 8*8*24= 
8*8*24 = 1_536
1536   12 × 16 × (x)= 1536   x = 8   The answer is 8.
Answer: C
I. j; k; m; n; p
II. j - 10; m; m; m; p + 15
III. j + 2; k + 1; m; n - 1; p - 2
If j, k, m, n, and p are consecutive positive integers such that j < k < m < n < p, the data sets I, II, and III above are ordered from greatest standard deviation Z to least standard deviation in which of the following?  Options
A) I, III, II B) II, I, III C) II, III, I D) III, I, II E) III, II, I

Solution: Range of 1st Set = (p-j)   Range of 2nd Set = P+15 - j +10 = (p-j) +25   Range of 3rd Set = P -2 - j - 2 = (p-j) - 4   R2 > R1 > R3 ==> SD2 > SD1 > SD3   Since, Z=Higher the Range -> More Dispersion in the Set -> More Standard Deviation.II, I, III
Answer: B
Find the remainder of 1421 x 1423 x 1425 when divided by 12  Choose the correct choice from the following
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: 1421 x 1423 x 1425 / 12   = (12*118+5)*(12*118+7)*(12*118+9)/ 12   => rem[(5*7*9)/12]   => rem[(35*9)/12]   => rem[(36-1)*9/12]   => rem[(-9)/12]   => rem = 3   ANSWER:3
Answer: D
1000 men have provisions for 15 days. If 300 more men join them, for how many days will the provisions last now?
Choose the correct choice from the following answers: A) 11.5 B) 12.5 C) 12.6 D) 12.2 E) 12.1

Solution: 1000*15 = 1300*x   x = 11.5   11.5nswer: 11.5
Answer: A
The distance between A&B is 450km. A person is traveling from A to B at 70km/hr started at 9AM and another person is traveling from B to A at 80km/hr and started at same time. Then at what time they meet together.? Options:
A) A)12PM
B) B)4PM
C) C)1PM
D) D)3PM
E) E)5PM

Solution: Let x hours be they will meet together   distance covered by 1st person+distance covered by 2nd person = 450km   70x+80x = 450   x= 3 hr   They will meet = 912PMM +3hr = 12PM   12PMnswer is 12PM
Answer: A
In how many ways can you seat 8 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?	Choose one:
A) 720  B) 1720  C) 25200  D) 5040  E) 10080

Solution: Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 5 chairs to sit. The remaining 7 people can sit in 7! ways. Thus the # of arrangements is 5*7! = 25,200.   Answer: 25200.
Answer: C
If 3x−y=27 and 3x+y=243, then find the value of x Choose the correct choice from the following
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: Explanation:   3x−y=27=33<=>x−y=3... (i)3x+y=243=35<=>x+y=5... (ii) adding (i) and (ii)=>2x=8=>x=4   Option 4
Answer: D
John, Mac and Tonny together can do a work in 20 days. John alone can do the work in 80 days and Mac alone can do the same work in 70 days. Find in what time Tonny alone can do that work? Choose the most appropriate option.
A) 50days  B) 43.08days  C) 53.80days  D) 35days  E) 44.50days

Solution: The required answer is = 20*80*70 / 80*70-20(80+70)   = 112000/2600 = 43.08days   Answer is 43.08days
Answer: B
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? Choose the correct choice from the following choices:
A) 120 meters
B) 180 meters
C) 324 meters
D) 150 meters
E) None of These

Solution: Speed=(60 x(5/18)m/sec	=(50/3)m/sec.   Length of the train = (Speed x Time).   Length of the train =	((50/3)x 9)m = 150 m   150 meters
Answer: D
For any integer k greater than 1, the symbol k* denotes the product of all the fractions of the form 1/t, where t is an integer between 1 and k, inclusive. What is the value of 3*/4* ? Pick one.
A) 5	B) 5/4	C) 4/5	D) 1/4	E) 1/5

Solution: When dealing with 'Symbolism' questions, it often helps to 'play with' the Symbol for a few moments before you attempt to answer the question that's asked. By understanding how the Symbol 'works', you should be able to do the latter calculations faster.   Here, we're told that K* is the PRODUCT of all the fractions of the form 1/T, where T is an integer between 1 and K, inclusive.   Based on this definition....   IF....   K = 2   K* = (1/1)(1/2) = 1/2   IF....   K = 3   K* = (1/1)(1/2)(1/3) = 1/6   We're asked to find the value of 5*/4*   Now that we know how the Symbol 'works', solving this problem shouldn't be too difficult. You can actually choose to do the math in a couple of different ways....   5* = (1/1)(1/2)(1/3)(1/4)(1/5)   Don't calculate this just yet though....since we're dividing by 4*, many of those fractions will 'cancel out.'   4* = (1/1)(1/2)(1/3)(1/4)   We're looking for the value of:   (1/1)(1/2)(1/3)(1/4)(1/5) / (1/1)(1/2)(1/3)(1/4)   Since the first four fraction in the numerator and denominator cancel out, we're left with just one fraction:   5/4   5/4
Answer: B
The ratio of the volumes of two cubes is 27 : 125. What is the ratio of their total surface areas?
Pick one:	A) 9 : 25	B) 9 : 35	C) 81 : 124	D) 81 : 126	E) 81 : 129

Solution: Ratio of the sides = 3√27: 3√125 = 3 : 5   Ratio of surface areas = 3^2 : 5^2 = 9:25   9 : 25nswer: Option 9 : 25
Answer: A
a+2b=6,ab=4
2/a + 1/b=? Answers
A) 3/2  B) 5/2  C) 7/2  D) 9/2  E) 11/2

Solution: 2/2+1/2=1+1/2=3/2   3/2NSWER:3/2
Answer: A
In a competitive examination in State ASS, 3% candidates got selected from the total appeared candidates. State BI had an equal number of candidates appeared and 5% candidates got selected with 12 more candidates got selected than ASS. What was the number of candidates appeared from each State?
Choose the correct answer:
A) 500  B) 250  C) 300  D) 1200  E) 789

Solution: State ASS and State BI had an equal number of candidates appeared.   In state ASS, 3% candidates got selected from the total appeared candidates   In state BI, 5% candidates got selected from the total appeared candidates   But in State BI, 12 more candidates got selected than State ASS   From these, it is clear that 1% of the total appeared candidates in State BI = 12   => total appeared candidates in State BI = 12 x 100 = 1200   => total appeared candidates in State ASS = total appeared candidates in State BI = 1200   Answer : 1200
Answer: D
There are 250 female managers in a certain company. Find the total number of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers.  Choose the correct choice.
A) 325
B) 425
C) 625
D) 700
E) None of these

Solution: as per question stem 2/5M (Portion of Men employees who are managers) + 250 (Portion of Female employees who are managers) = 2/5T (Portion of Total number of employees who are managers), thus we get that 2/5M+250 = 2/5T, or 2/5(T-M)=250, from here we get that T-M=625, that would be total number of female employees and the answer (625)
Answer: C
Let the function W(n) represent the product of the first n prime numbers, where n > 0. If x = W(n) + 1, which of the following must be true?
(i) x is always odd
(ii) x is always prime
(iii) x is never the square of an integer	Choose the correct choice from the following
A) ii only
B) iii only
C) i and ii only
D) i and iii only
E) ii and iii only

Solution: W(n) is always even, because the first prime is 2 and no matter what n is, 2 always will be a divisor of W(n). Thus, W(n) + 1 = even + 1 = odd. So, (i) is always true.   Now, use logic:   If (ii) is true (so if x is always prime), then (iii) must automatically be true: no prime is the square of an integer. So, the correct answer must be i only; i, ii, and iii only; or i and iii only. since onlyi and iii onlyis among the options, then it must be true.   Or, since (i) is always true, then from options the answer must be either C or D. C cannot be correct because if (ii) is true, then so must be (iii). Thus only D remains.   Answer: i and iii only.
Answer: D
A certain country is divided into 4 provinces. Each province consists entirely of Progressives and Traditionalists. If each province contains the same number of Traditionalists and the number of Traditionalists in any given province is 1/12 the total number of Progressives in the entire country, what fraction of the country is Traditionalist?
Choose the correct choice from the following choices
A) 1/5
B) 1/3
C) 1/2
D) 2/3
E) 3/4

Solution: Let P be the number of Progressives in the country as a whole.   In each province, the number of traditionalists is P/12   The total number of traditionalists is 4P/12 = P/3.   The total population is P + P/3 = 4P/3   P / (4P/3) = 3/4   The answer is 3/4.
Answer: E
The product of all the prime numbers less than 50 is closest to which of the following powers of 10 ?
Pick one:
A) 10^9
B) 10^8
C) 10^7
D) 25*10^6
E) 10^5

Solution: 2*3*5*7*11*13*17*19   2*19*3*17*5*13*7*11   38*51*65*77   By approximation   40*50*70*70   2000*4900   By approximation   5000*5000   25,000,000   25*10^6
Answer: D
108.	Triangle A’s base is 20% greater than the base of triangle B, and A’s height is 20% less than the height of triangle B. The area of triangle A is what percent less or more than the area of triangle B?
Choose the most appropriate option:	A) 0.25 % less	B) 1 % less	C) Equal to each other	D) 1 % more	E) 9 % more

Solution: Wish the question specified that we are talking about corresponding height.   Base of A = 21/20 * Base of B   Height of A = 19/20 * Height of B   Area of A = (1/2) * Base of A * Height of A = 21/20 * 19/20 * Area of B = 399/400 * Area of B   Area of A is 0.25% less than the area of B.   0.25 % lessnswer (0.25 % less)
Answer: A
An employee’s annual salary was increased $15,000. If her new annual salary now equals $90,000, what was the percent increase? Select.
A) 15%	B) 16 2⁄3%	C) 20%	D) 22%	E) 24%

Solution: New annual salary = $90,000   Salary increase = $15,000.   Original salary = $90,000 - $15,000.   = $75,000   %Increase = ($15,000/ $75,000 )*100   =20%   Hence 20%.
Answer: C
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choose the correct choice
A) 87 seconds
B) 67 seconds
C) 40 seconds
D) 67 seconds
E) 54 seconds

Solution: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= Distance/speed   = 500 * (2/25)= 
500 * (2/25) = 40
40 seconds   Answer: 40 seconds
Answer: C
If Yury has been writing programming code for 13 hours at a rate of 5 lines of code per 20 seconds, how many lines of code has he written? Choose the correct choice.
A) 117(10^2)  B) 126(10^3)  C) 12.6(10^5)  D) 1.26(10^7)  E) .126(10^9)

Solution: 5 LINES IN 20 SECONDS   SO FOR 1 MINUTE ( 5 X 3 = 15 LINES )   I HOUR = 60 MINUTES   15 X 60 = 900 LINES IN 117(10^2)N HOUR   13 HOURS = 900 X 13 = 117(10^2)   117(10^2)NSWER 117(10^2)
Answer: A
Without stoppages a train travels a certain distance with an average speed of 60 kmph and with stoppages it covers the same distance with an average speed of 20 kmph. What is the time in minutes per hour for which train stops?	Pick:  A) 30 min/hr  B) 35 min/hr  C) 40 min/hr  D) 45 min/hr  E) 50 min/hr

Solution: Pick a smart number for the distance. lets say L40 min/hrM 60   Without = 60/60= 
60/60 = 1
1 hours   With= 60/20= 
60/20 = 3
3 hours   So in a trip of 3 hours, 2 hour is spent in stoppages   Hence, 120/3= 40 min/hr on stoppages   Answer : 40 min/hr
Answer: C
The average age of father and his two sons is 18 Years. Five years ago, the average age of the two sons was 11 Years. If the difference between the ages of the two sons is four years, what is the present age of the father?	Choose the correct choice.
A) 22  B) 24  C) 25  D) 28  E) 49

Solution: The total present age of father and two sons is 3x18 = 54 yrs   The total present age of sons is (11+5) X 2 = 32Years   so, present age of father is 54 â€“ 32 = 22 yrs   22nswer 22
Answer: A
A sum was put at simple interest at a certain rate for 3 years. Had it been put at 2% higher rate, it would have fetched Rs. 360 more. Find the sum. Choose one
A) 3000	B) 6000	C) 2000	D) 4000	E) None of them

Solution: Let sum = P and original rate = R.   Then, [ (P*(R+2)*3)/100] – [ (P*R*3)/100] = 360.   = 3PR + 6P - 3PR = 36000  6P=36000  P=6000   Hence, sum = Rs. 6000.   Answer is 6000.
Answer: B
The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 26,000 is made?	Choose the correct choice from the following choices:
A) Rs. 1,10,000 B) Rs. 1,20,000 C) Rs. 1,22,000 D) Rs. 1,21,000 E) None of these

Solution: The value of the machine after two years = 0.8 * 0.8 * 1,50,000 = Rs. 96,000   SP such that a profit of Rs. 24,000 is made = 96,000 + 26,000 = Rs. 1,22,000   ANSWER:Rs. 1,22,000
Answer: C
A man is 16 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is  Choose the correct choice from the following answers.
A) 21 years  B) 14 years  C) 16 years  D) 18 years  E) 26 years

Solution: Explanation:   Let's Son age is x, then Father age is x+16.   => 2(x+2) = (x+16+2)   => 2x+4 = x+18   => x = 14 years   Option 14 years
Answer: B
If p/q =4/5, then the value of 4/7 + {(2q - p) / (2q + p)} is ?	Choose the correct choice from the following choices.
A) 3 / 7 B) 34 C) 1 D) 2 E) 3

Solution: Answer   Given Exp. = 4 / 7 + {(2q - p) / (2q + p)}   Dividing numerator as well as denominator by q,   Exp = 4/7 + {2-p/q) / (2 + p/q)}   = 4/7 + {(2 - 4/5) / (2 + 4/5)}   = 4/7 + 6/14   = 4/7 + 3/7   =7/7= 
7/7 = 1
1.   1orrect Option: 1
Answer: C
A person was going through train from Bombay to Pune. After every five minutes he finds a train coming from opposite direction. Velocity of trains are equal of either direction. If the person reached Pune in one hour then how many trains he saw in the journey ?	Choose the correct answer:
A) 9
B) 10
C) 11
D) 12
E) 13

Solution: 11   ANSWER:11
Answer: C
Rahim bought 65 books for Rs.1150 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ? Choose the correct choice from the following choices:
A) 28
B) 18
C) 27
D) 29
E) 21

Solution: Average price per book   = (1150 + 920) / (65 + 50)   = 2070 / 115   = Rs.18   Answer:18
Answer: B
How much water must be added to 56 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?  Choose the correct choice from the following choices.
A) 10 litres B) 12 litres C) 14 litres D) 18 litres E) None of these

Solution: C.P. of 1 litre of milk = (20 × 2⁄3) = 40⁄3   ∴ Ratio of water and milk = 8⁄3 : 32⁄3 = 8 : 32 = 1 : 4   ∴ Quantity of water to be added to 56 litres of milk   = (1⁄4 × 56) litres = 14 litres.   Answer 14 litres
Answer: C
Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 5 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week? Choose the most appropriate option:  A) 30  B) 20  C) 18  D) 12  E) 6

Solution: 21-12 < no of hrs < 21-5   9< no of hrs < 16.   12
Answer: D
Increasing the original price of an article by 5 percent and then increasing the new price by 5 percent is equivalent to increasing the original price by
Select.
A) 10.25% B) 12.5% C) 14.75% D) 15.15% E) 16.25%

Solution: 1.05*1.05*x = 1.1025*x   The answer is 10.25%.
Answer: A
S1 = 7 S2 = 10 ... Sn = 3n + 4 For the sequence above, in which any term n is defined as 3n + 4, what is the value of n for the first term in the sequence to exceed 50? Choose the correct answer
A) 13	B) 12	C) 16	D) 14	E) 15

Solution: term 16 = 3*16+4= 
3*16+4 = 52
52   Answer : 16
Answer: C
In a particular library there are 5 computer clusters open for public use. Each Computer Clusters has 40 Tablets. In the 1st week, 75 tablets are used, while 155 tablets are used in the second week, 30 in the third week & 140 in 4th week. Approximately what fraction of the library's computer facilities are in use per month?  Choose the correct choice from the following answers.
A) 1/3 B) 1/4 C) 1/2 D) 2/3 E) 2/5

Solution: Total number of tablets = 40*5= 
40*5 = 200
200   Fraction of library's computer facilities used,   1st week= 75/200 = 3/8   2nd week = 155/200 = 31/40   3rd week = 30/200 = 3/20   4th week = 140/200 = 7/10   Fraction of library's computer facilities used per month   = (3/8+31/40+3/20+7/10)/4   =1/2   ANSWER:1/2
Answer: C
If 4a = 16b and 6b = 13c, Find a:b:c?
Choose the most appropriate option:
A) 52:13:6
B) 13:7:52
C) 7:13:52
D) 7:13:54
E) None of these

Solution: Explanation:   (4a = 16b ==> a/b = 16/4)   and (6b = 13c ==> b/c = 13/6)   ==> a:b = 16:4 and b:c = 13:6   a:b:c = 52:13:6   52:13:6nswer: Option 52:13:6
Answer: A
A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate?  Choose the correct choice from the following answers
A) 20 years B) 66 years C) 77 years D) 44 years E) 99 years

Solution: 100 ---- 100 --- 10   100 --- 10   --------------------   300 ---- 20 years .20 yearsnswer: 20 years
Answer: A
Palindromes are words or phrases that read the same in both directions, e.g. EYE Now consider the word LEVEL, such a word is known as palindromes. Find the maximum possible number of five letter palindromes.
Choose the correct choice from the following choices: A) 17515 B) 17566 C) 17576 D) 17655 E) None

Solution: The first letter from the right can be chosen in 26 ways because there are 26 alphabets. Having chosen this, the second letter can be chosen in 26 ways. => The first two letters can be chosen in 26*26= 
26*26 = 676
676 ways Having chosen the first two letters, the third letter can be chosen in 26 ways.=> All the three letters can be chosen in 676*26= 
676*26 = 17_576
17576 ways. It implies that the maximum possible number of five letter palindromes is 17576 because the fourth letter is the same as the second letter and the fifth letter is the same as the first letter.   Answer 17576
Answer: C
The sum of 77 consecutive integers is 7777. What is the greatest integer in the set?
Select.
A) 139	B) 141	C) 143	D) 145	E) 147

Solution: Let x be the first integer in the set. Then x+76 is the largest integer.   The sum is: x+(x+1)+(x+2)+...+(x+76)   = 77x + 76*77/2   = 77(x+38)   Then x+38=101   x=63   The largest integer in the set is  63+76= 
 63+76 = 139
139   The answer is 139.
Answer: A
The sum of two numbers is 40 and their product is 400. What will be the sum of their reciprocals?
Choose the correct option:
A) 1/40
B) 8/75
C) 75/4
D) 75/8
E) 1/10

Solution: (1/a)+(1/b)=(a+b)/ab=40/400=1/10   ANSW1/10R:1/10
Answer: E
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 25 years. The present age of the husband is  Choose the most appropriate option:
A) 40  B) 30  C) 45  D) 55  E) 65

Solution: Explanation:   Sum of the present ages of husband, wife and child = (27 * 3 + 3 * 3)= 
(27 * 3 + 3 * 3) = 90
90 years.   Sum of the present ages of wife and child= (25 * 2 + 5 * 2)= 
(25 * 2 + 5 * 2) = 60
60 years.   Husband's present age= (90 - 60)= 
(90 - 60) = 30
30 years   Option 30
Answer: B
The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square? Choose the correct answer:
A) 297 cm
B) 178 cm
C) 800 cm
D) 287 cm
E) 976 cm

Solution: Area of the square = s * s = 5(125 * 64)   => s = 25 * 8= 
25 * 8 = 200
200 cm   Perimeter of the square= 4 * 200= 
4 * 200 = 800
800 cm.   Answer:800 cm
Answer: C
A boy wants to go abroad by boat and return by flight. He has a choice of 9 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?  Choose the correct choice from the following choices:
A) 20 B) 25 C) 30 D) 45 E) 50

Solution: Ans.(D)   Sol. Number of choices to go by ship = 9 Number of choices to return by airline = 5 From, fundamental principle, total number of ways of performing the journey = 9 x 5 = 45 ways
Answer: D
By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost? Choose the correct choice:
A) 116.68
B) 116.11
C) 116.19
D) 116.66
E) 116.1

Solution: Explanation:   Let the cost of the brand be Rs. X per kg.   C.P. of 5 kg = (2 * 200 + 3 * x) = Rs. (400 + 3x)   S.P of 5 kg = Rs. (5 * 177) = Rs. 885   [885 - (400 + 3x)]/(400 + 3x) * 100 = 18   24250 - 150x = 3600 + 27x   177x = 20650 => x = 116 2/3   So, cost of the other brand = Rs. 116.66.   Answer: 116.66
Answer: D
In a game of 100 points, A can give B 20 points and C 25 points. then how many points can B give C in a game of 70?
Choices
A) 4.38  B) 6.38  C) 7.38  D) 8.38  E) 9.38

Solution: In a game of 100 points,4.38 give B 20 points and c 25 points means B=80,C=75   In 80 points B give 5 since  80-75= 
 80-75 = 5
5   In 70 points B gives=70*5/80=4.38   4.38NSWER:4.38
Answer: A
Y is the set of all positive integers x such that x^2 is a multiple of both 27 and 375. Which of the following integers must be a divisor of every integer x in Y?
I. 9
II. 15
III. 27
Select:
A) I only  B) II only  C) I and II only  D) I and III only  E) I, II, and III

Solution: Ans: C   Y->{x} where x^2 is a multiple of both 27 and 375 means 3^3 and (5^3)*3   means x must contain 3^2 and 5^2   so with these conditions we know that 9=3^2 and 15=3*5 both have required factors for the divisibility of lowest int for x which is 9*25   but 27 is not a divisor because it can't divide 9*25 fully.   so Ans : I and II only
Answer: C
How many five digit numbers can be formed by using the digits 0,1,2,3,4,5 such that the number is divisible by 4?  Select
A) 134 B) 144 C) 154 D) 164 E) 174

Solution: divisible by 4 means last two digit should always div by 4.   unit place=(04,20,40,12,24,32,52)   _ _ _04   _ _ _ 20   _ _ _40   total no=4x3x2x3=72   _ _ _12   _ _ _24   _ _ _32   _ _ _52   total no=3x3x2x4=72   total n0 = 72+72= 
72+72 = 144
144   ANSWER:144
Answer: B
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour? Choose one
A) 10 min B) 15 min C) 24 min D) 12 min E) 8 min

Solution: Explanation:   T = 9/45 * 60= 
9/45 * 60 = 12
12 min   12 min)
Answer: D
If m, n, and o are positive numbers such that (m/(m+n))(10) + (n/(m+n))(20)=o and if m<n which of the following could be the value of o? Select: A) 10 B) 12 C) 15 D) 18 E) 36

Solution: The answer is D. For any positive m and n, o is a number between 10 and 20. Since m < n, weight of 10 is inferior of weight of 20 -> o is > 15 -> 18 is the answer.
Answer: D
If a tire rotates at 400 revolutions per minute when the car is traveling 48km/h, what is the circumference of the tire?	Pick:
A) 2 meters B) 6 meters C) 5 meters D) 3 meters E) 7 meters

Solution: 400 rev / minute = 400 * 60 rev / 60 minutes   = 24,000 rev / hour   24,000 * C = 48,000 m : C is the circumference   C = 2 meters   correct answer 2 meters
Answer: A
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?  Choose the correct answer.
A) 18 Kmph
B) 17 Kmph
C) 72 Kmph
D) 18 Kmph
E) 16 Kmph

Solution: Length = Speed * time   Speed = L/T   S = 400/20= 
400/20 = 20
20 M/Sec   Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 72 Kmph   Answer: 72 Kmph
Answer: C
A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?
Choose the correct choice.
A) 0.75 B) 1 C) 0.25 D) 0.5 E) 0.58

Solution: radius of inner dartboard/overall radius of dartboard   ((r/2)^2)/(r^2)=1/4= 
1/4 = 1/4 = around 0.25
0.25   ANSWER:0.25
Answer: C