MU-NLPC/Calc-aqua_rat huggingface dataset:
Mary goes into labor at her local grocery store and is rushed to a hospital in an ambulance traveling 60mph. Her husband Don drives after the ambulance at an average speed of 30mph. Mary reaches the hospital fifteen minutes later. How long does it take Don to get there from the store?
Choose the correct answer.
A) 25 minutes  B) 30 minutes  C) 10 minutes  D) 15 minutes  E) 7 minutes

Solution: Distance covered by the ambulance in 15 minutes = 15 miles   60 mph is one mile per minute, therefore 30 mph will be 1/2 a mile per minute.   So, he reaches the hospital half an hour after leaving the store.   Correct Answer: 30 minutes
Answer: B
Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and W. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of W if J is negative?	Pick one.
A) -2	B) W=0	C) 1	D) 2	E) 5

Solution: since j is negative, therefore median of the set will be 3. which is an odd number. also, we know that odd^n will always be odd. now since 34 is even, therefore 3^w will have only one factor with 34 for w=0.   mode of the set is a number which occurs maximum number of time in the set. now, since W is the mode of the set. therefore W=0. hence answer is W=0
Answer: B
James took a 3-hour bike ride. In the second hour he traveled 36 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?  Choose the correct choice from the following answers
A) 54.0 B) 54.9 C) 111.0 D) 157.0 E) 163.0

Solution: Let the distance travelled in the first hour be x. Thus, 1.2x = 36 , x = 30. Now, the distance travelled in the 3rd hour = 36+1/4âˆ—36=45. 36+30+45 = 111   ANSWER:111.0
Answer: C
If k and w are the dimensions of a rectangle that has area 60, and if k and w are integers such that k > w, what is the total number of possible values of k?
Choose the correct choice from the following answers:
A) Two
B) Three
C) Four
D) Five
E) Six

Solution: kw=60=60*1=30*2=15*4=20*3=12*5=10*6--> k can take 6 values   Answer: Six
Answer: E
A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the remainders will be.	Choose the correct choice from the following
A) 1,2	B) 2,3	C) 3,2	D) 4,1	E) 5,1

Solution: 4 l X   --l---   5 l Y - 1 Therefore Y = (5 x 1 + 4) = 9   --l------ X = (4 x Y + 1) = (4 x 9 + 1) = 37   l 1 - 4   Now 37 divided successively by 5 and 4, we get   5 l 37   --l---   4 l 7 - 2 Therefore Y = (5 x 1 + 4) = 9   --l------ X = (4 x Y + 1) = (4 x 9 + 1) = 37   l 1 - 3   so the respective remainders are 2 and 3.   Answer 2,3.
Answer: B
What is the area of square field whose side of length 12 m?  Options: A) 225 sq m B) 144 sq m C) 586 sq m D) 287 sq m E) 296 sq m

Solution: 12 * 12= 
12 * 12 = 144
144 sq m   Answer: 144 sq m
Answer: B
Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. what is the value of x ? Select the correct option
A) 50 B) 100 C) 200 D) 1000 E) 2000

Solution: Given:   x >0 and y > 0   y = 5010050100(5010050100*x) = 0.25x - (i)   y100y100*x = 100. Hence xy = 10000 - (ii)   Required: Value of x   Substituting the value of y in (ii)   x*0.25x = 10000   x2x2 = 100*100*100/25 = 4*100*100   x = 200 and - 200   We will consider only the positive value as we are told that x > 0   x = 200   Option 200
Answer: C
John and Jacob set out together on bicycle traveling at 12 and 9 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride at 12 miles per hour? (consider John's deceleration/acceleration before/after the flat to be negligible)
Select the correct option:
A) 3
B) 2 1/3
C) 3 1/2
D) 4
E) 4 1/2

Solution: John's speed - 12 miles/hr   Jacob's speed - 9 miles/hr   After 40min (i.e 2/3hr), distance covered by John = 12x2/3 = 8 miles.   Jacob continues to ride for a total of 1hour and 40min (until John's bike is repaired). Distance covered in 1 hour 40min (i.e 5/3hr) = 9x5/3 = 15 miles.   Now, when John starts riding back, the distance between them is 7 miles. Jacob and John are moving in the same direction.For John to catch Jacob, the effective relative speed will be   12-9= 
  12-9 = 3
3 miles/hr.   Thus, to cover 7 miles at 3 miles/hr, John will take 7/3= 2 1/3 hours   Answer 2 1/3
Answer: B
Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?
Choose the correct choice
A) 23	B) 25	C) 31	D) 34	E) 36

Solution: Let $let n$ be the smaller and 71 - n be the larger number. Now, since the larger number exceeds the smaller number by 7, we can form the equation   larger number – smaller number = 7   which is equivalent to   Simplifying, we have 71 - 2n = 7. This gives us 2n = 78 which implies that the larger number is . The smaller is 71-39=31.   31
Answer: C
If 5.51*10^k = 0.0551, then the value of k is:	Pick.
A) –4  B) –3  C) –2  D) –1  E) 0

Solution: 10^K/5.51 = 0.0551/551   =5.51/551   = 5.51* 10^2 /551* 10^2   = 1/10^2 = 10^-2   ANSWER:–2
Answer: C
If "x" is an integer, which of the following inequalities have a finite range of values of "x" satisfying them?	Choose the correct answer.
A) x2 + 5x + 6 > 0 B) |x + 2| > 4 C) 9x - 7 < 3x + 14 D) x2 - 4x + 3 < 0 E) (B) and (D)

Solution: Explanatory Answer   We have to find the values of "x" that will satisfy the four inequalities given in the answer choices and identify the choice for which the range of values satisfying it is finite.   Choice A: x2 + 5x + 6 > 0   Factorize the given equation: x2 + 5x + 6 > 0 = (x + 2)(x + 3) > 0.   This inequality will hold good when both (x + 2) and (x + 3) are simultaneously positive or simultaneously negative.   Evaluating both the options, we get the range of values of "x" that satisfy this inequality to be x < -2 or x > -3. i.e., "x" does not lie between -2 and -3.   i.e., x takes values lesser than 2 or greater than 3.   The range of values that x takes is infinite.   Choice B: |x + 2| > 4   |x + 2| > 4 is a modulus function and therefore, has two options   Option 1: x + 2 > 4 or   Option 2: (x + 2) < -4.   Evaluating the two options we get the values of "x" that satisfy the inequality as x > 2 and x < -6.   i.e., "x" does not lie between -6 and 2.   An infinite range of values.   Choice C: 9x - 7 < 3x + 14   Simplifying, we get 6x < 21 or x < 3.5.   An infinite range of values.   Choice D: x2 - 4x + 3 < 0   Factorizing x2 - 4x + 3 < 0 we get, (x - 3)(x - 1) < 0.   This inequality will hold good when one of the terms (x - 3) or (x - 1) is positive and the other is negative.   Evaluating both the options, we get 1 < x < 3. i.e., a finite range of values for "x".   Choice x2 - 4x + 3 < 0
Answer: D
A train 550 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choices
A) 8	B) 6	C) 5	D) 54	E) 30

Solution: Speed of train relative to man = 60 + 6= 
60 + 6 = 66
66 km/hr.= 66 * 5/18 = 55/3 m/sec.   Time taken to pass the men = 550 * 3/55= 
550 * 3/55 = 30
30 sec.   Answer: 30
Answer: E
The combined age of husband and wife on their 20th wedding anniversary was twice than it was at the time of wedding. If the husband is 3 years older than his wife. How old was he at the time of his marriage?	Pick.
A) 29 years	B) 38.5 years	C) 21.5 years	D) 32 years	E) None of these

Solution: Explanation:   Let the ages of husband and wife at the time of their 20th wedding anniversary be X years and Y years respectively and X > Y.   Their combined age = (X + Y) years.   The ages of both husband and wife at the time of wedding will be (X – 20) years and (Y – 20) years respectively.   Their combined age = (X – 20) + (Y – 20)   = (X + Y – 40) Years   By first information, we have   (X + Y) = 2( X + Y – 40)   X + Y = 2X + 2Y - 80   Therefore, X + Y = 80-------A   and by second information, we have   X – Y =3 ----------------------B   Solving A and B, we get X = 41.5 years   Therefore, the age of husband at the time of their 20th wedding anniversary X = 41.5 years   Age at the time of marriage = 41.5 years – 20 years = 21.5 years.   ANSWER IS 21.5 years
Answer: C
A man walking at a rate of 15km/hr crosses a bridge in 15 minutes. The length of the bridge is? Choose the correct choice:
A) 1250m
B) 1110m
C) 950m
D) 750m
E) 1300m

Solution: Speed = 15*5/18 = 15/18 m/sec   750mistance covered in 15 minutes = 15/18 *15 *60= 
15/18 *15 *60 = 750
750m   Answer is 750m
Answer: D
How many different ways can 2 students be seated in a row of 8 desks, so that there is always at least one empty desk between the students?	Pick one.
A) 50	B) 42	C) 24	D) 20	E) 12

Solution: 21 ways to seat the students:   with two empty seats between   1 empty w/ one student on the left most   1 empty....right most   two students can be interchanged   21x2=42   42
Answer: B
How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
Choose the correct choice from the following choices.
A) 20 B) 10 C) 5 D) 15 E) 25

Solution: Since, each desired number is divisible by 5, so we must have 5 at the unit place.   So , the tens place can now be filled by any of the remaining 5 digits (2, 3, 6, 7, 9)   therefore the 3-digit no can be formed by   (5 * 4 * 1)= 
  (5 * 4 * 1) = 20
20 ways   20ns- 20
Answer: A
A train 200 m long crosses a platform 200 m long in 40 sec; find the speed of the train?  Answers
A) 94 kmph B) 58 kmph C) 54 kmph D) 94 kmph E) 36 kmph

Solution: D = 200 + 200= 
200 + 200 = 400
400   T= 40   S = 400/40 * 18/5= 
400/40 * 18/5 = 36
36 kmph   Answer:36 kmph
Answer: E
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choose one.
A) 22 B) 23 C) 40 D) 88 E) 99

Solution: 800*(25/100)= 
800*(25/100) = 200
200 ---- 5   ? ---- 1=> Rs.40   Answer: 40
Answer: C
The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 30 kmph at 8 p.m. from Delhi. When will they meet?	Choose the correct option
A) 40.00 a.m.
B) 10.00 a.m.
C) 9.48 a.m.
D) 18.00 a.m.
E) 19.00 a.m.

Solution: Explanation:   D = 110 â€“ 20 = 90   RS = 20 + 30= 
20 + 30 = 50
50   T= 90/50 = 1 hours 48 minutes   8 a.m. + 1 hours 48 minutes = 9:48 a.m.   Answer: Option 9.48 a.m.
Answer: C
A, B and C enter into a partnership. They invest Rs. 70,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?  Select.
A) 21 : 14 : 28  B) 21 : 16 : 28  C) 3 : 4 : 2  D) 21 : 14 : 18  E) 3 : 4 : 5

Solution: A : B : C = (70000 x 36) : (80000 x 12 + 40000 x 24) : (120000 x 24 + 40000 x 12)   = 252 : 192 : 336   = 21 : 16 : 28.   Answer: 21 : 16 : 28
Answer: B
Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 42 years. What is Deepak present age.
Choose the correct choice from the following answers:  A) 14  B) 15  C) 20  D) 22  E) 27

Solution: 27xplanation:   Present age is 4x and 3x,   => 4x + 6 = 42 => x = 9   So Deepak age is = 3(9) = 27   Option 27
Answer: E
The total weight of six nougat nuggets is 4 oz. What is the average (arithmetic mean) weight of one such nougat nugget?	Choose the correct choice from the following answers.
A) 0.18 oz. B) 0.5 oz. C) 0.67 oz. D) 5 oz. E) 18 oz

Solution: Average = Total/Number of items   = 4/6 = 0.67.   Hence, 0.67 oz.
Answer: C
Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Qâ€™s amount. At the end of the year 25% profit was earned which was equal to 98,000. What was the amount invested by R?	Pick one
A) 2,10,000
B) 1,05,000
C) 1,75,000
D) 84,000
E) None of these

Solution: Ratio for amount invested by P, Q & R   = 5x Ã— 12 : 6x Ã— 12 : 6x Ã— 6   = 60x : 72x : 36x   = 5x : 6x : 3x   Profit = 98000 = 25% of T   where, T = Total amount   T = 392000   Amount received by   R = 3x /3x+6x+5x(392000)   = 84000   Answer 84,000
Answer: D
The membership of a committee consists of 4 English teachers, 2 Mathematics teachers, and 2 Social Studies teachers. If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be English teachers?	Choose the correct choice from the following choices: A) 2/3 B) 1/3 C) 2/9 D) 1/12 E) 3/28

Solution: Probability of first member an 3/28nglish teacher = 3/8   Probability of second member an 3/28nglish teacher = 2/8   Probability of both being english teacher = 3/8x 2/7=3/28 (3/28)
Answer: E
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 4 to 6. If one of the four staff members worked on the project for 24 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project? Select the correct option:
A) 60	B) 90	C) 120	D) 192	E) 180

Solution: A:B:C:D=2x:3x:4x:6x, for some positive number x. Total time 2x+3x+4x+6x=15x.   If 2x 2 +3 +4 +6= 
2 +3 +4 +6 = 15
15x.   If 2x= 24 then 15x = 180;   If 3x = 24 then 15x = 120;   If 4x = 24 then 15x = 90;   If 6x = 24 then 15x = 60;   Only answer choices which is not obtained is 192.   Answer: 192.
Answer: D
Given the following factorials (x+3)!, (x-2)!, and (x+4)! what is the value of x if the greatest common divisor is 720?	Pick.
A) 8 B) 9 C) 7 D) 6 E) 10

Solution: GCD of (x+3)!, (x-2)!, and (x+4)! is 720. Find x.   Best way to find n is substitute each of the answer and find out the correct one.   I started with A.   Try 8 and find GCD or 11!, 6! and 12!. 6! itself is 720 and 6! which is contained in the other two factorials. This satisfies the condition, hence answer is 7. Also, we can eliminate all other answers as they are less than 7 and n-2 turns out to be less than 5! and hence cannot have a divisor of 120.   8nswer is 8.
Answer: A
In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 35 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?	Choose the correct answer.
A) 9X/80 B) 13X/20 C) 80/9X D) 20X/13 E) 80X/7

Solution: IMT = 0.25T   JI = 0.35 IMT   0.35 IMT = $x b   IMT = $x/(0.35) b   T = 4*IMT = 4x/0.35 = 4x*100/35 = 80x/7   Ans: "80X/7"
Answer: E
if price of t.v set is reduced by 18%, then its sale increases by 88%, find net effect on sale value  Choose the correct choice from the following choices
A) 44 B) 54 C) 46 D) 47 E) 48

Solution: - a + b + ((-a)(b)/100)   = -18+88+(-18*88)/100   = -18+88-16= 
-18+88-16 = 54
54   ANSWER:54
Answer: B
How many pages do you need if you have to write 150 lines of information into pages that each hold 30 lines?	Choose the most appropriate option:
A) A)7  B) B)5  C) C)9  D) D)8  E) E)None of the above

Solution: Sol.   30 lines per page total 150 lines   = 150 / 30= 
150 / 30 = 5
5   Answer : 5
Answer: B
Which of the following must be true?
1) Every prime number greater than 5 can be written as either as 5n+1 or 5n-1
2) Every prime number greater than 5 can be written as 4n+1 or 4n-1
3) Every number greater than 5 of the form 5n+1 or 5n-1 is a prime number.	Choose the correct choice from the following choices:	A) 1,2,3	B) 1,2	C) 2,3	D) only 1	E) only 2

Solution: Every prime number greater than 3 can be written in the form of 5n+1 or 5n-1 where n is an integer. So 1 can be possible.   3. This is not possible as 2 and 3 are being prime , we can't write then in the form of 5n+1 or 5n-1.   1,2
Answer: B
The radius of a circle is increased by 1%. Find how much % does its area increases?	Choose the most appropriate option:
A) 2.01 B) 2.08 C) 2.065 D) 2.04 E) 2.31

Solution: r = 100 r = 101   r2 = 10000 r2 = 10201   10000 ---- 201   100 ---- ? => 2.01%   2.01nswer:2.01
Answer: A
At a circular table for seven will sit five adults and two small children. The two children will sit next to each other, and the two parents of the children will sit next to the children so that there is one parent on each side of the two children. If rotating their positions around the table is not considered changing the arrangement, in how many different ways can the seven people be arranged around the table. Choose the correct choice from the following answers
A) 16	B) 24	C) 32	D) 48	E) 64

Solution: Consider the two parents and two children as one unit.   Then there are three adults and one family unit.   The number of ways 4 can form a line is 4!   Around a circular table, there would be 4 rotations so we divide this number by 4.   There are 3! ways for 4 to sit around the circular table.   Then the two children have two options and the two parents have two options.   Then the total number of ways is 3!*2*2= 24   The answer is 24.
Answer: B
Three partners A, B and C start a business. B's capital is four times C's capital and twice A's capital is equal to thrice B's capital. If the total profit is Rs 16500 at the end of a year, find out B's share in it.
Choose the correct answer:  A) 2000  B) 3000  C) 4000  D) 5000  E) 6000

Solution: Suppose C's capital =x. Then,   B's capital =4x (Since B's capital is four times C's capital)   A's capital =6x (Since twice A's capital is equal to thrice B's capital)   A : B : C =6x:4x:x   = 6 : 4 : 1   B's share   =16500×4/11   =1500×4=6000   Answer is 6000.
Answer: E
A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 3?	Choose the correct option: A) 3/8 B) 7/8 C) 1/8 D) 1/2 E) 1/4

Solution: There are 8 possible outcomes and only one (111) has a sum equal or less than 3.   P(the sum is greater than 3) = 1 - 1/8 = 7/8   The answer is 7/8.
Answer: B
The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue, in dollars, from the sale of cars priced at $ 14,000?
Options
A) 50,000
B) 750,000
C) 850,000
D) 1,400,000,000
E) 750,000,000

Solution: number of cars sold = x=800000-50y   y=14000   x=800000-700000= 
800000-700000 = 100_000
100000   revenue from 100000 cars=14000*100000= 
14000*100000 = 1_400_000_000
1400000000 1,400,000,000
Answer: D
If the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 22, what is the value of r-p?	Select the correct option
A) 20 B) 10 C) 30 D) 24 E) 5

Solution: Arithmetic mean expression for p and q:   (p+q)/2=10 ; p+q=20 ----eq1   Arithmetic mean expression for q and r:   (q+r)/2=20 ; q+r=44 ----eq2   Subtracting eq1 from eq2 we get: r-p=24   Hence, the correct answer is 24
Answer: D
A and B together invested Rs. 12,000 in a business. At the end of the year, out of total profit is Rs. 2,000 B's share was Rs. 500. A's investment was  Choose one
A) s. 4,500	B) s. 9,000	C) s. 10,500	D) s. 11,250	E) s. 12,250

Solution: A+s. 9,000=12000   total profit=2000   2000-500= 
2000-500 = 1_500
1500   1500;500=3:1   then   3*12000/4= 
  3*12000/4 = 9_000
9000   ANSWER:s. 9,000
Answer: B
What is the smallest integer that is the sum of 2 distinct prime integers, each greater than 70 ?	Choose one:
A) 147
B) 142
C) 173
D) 144
E) 186

Solution: A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. Here are the first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, etc.   Immediate two prime numbers after 70 are - 71 and 73   Sum = 71 + 73= 
71 + 73 = 144
144   Answer - 144
Answer: D
In what ratio must rice of Rs.30 per kg be mixed with rice of Rs.56per kg so that cost of mixture is Rs.35 per kg?  Choose the correct choice from the following options:
A) 28:15
B) 6:7
C) 7:6
D) 5:21
E) 21:5

Solution: (35-56)/(30-35)=6/2=21:5   ANSW21:5R:21:5
Answer: E
Three is the largest number that can be divided evenly into 27 and the positive integer x, while 10 is the largest number that can be divided evenly into both 100 and x. Which of the following is the largest possible number that could be divided into x and 2400  Choices:
A) 30  B) 70  C) 210  D) 240  E) 700

Solution: 27 = 3*3*3, and its GCF with x is 3, which implies that x has ONE factor of 3, but not TWO factors of 3.   100 and x have a GCF of 10, which implies that x has ONE factor of 10, but not TWO factors of 10.   Then we want to know what is the largest possible GCF of x and 2100.   Well 2400 = 6 * 4 * 10 * 10   We want x to include as many factors in common with 2100 as possible, to make the GCF with 2100 as big as possible.   We know x has one factor of 3, but not two factors --- that takes the 3.   We know x has one factor of 10, but not two factors --- we can take one of those 10's, but we have to leave the other   No other restrictions, so we can also grab that factor of 7 --- nothing saying that we can't, and it's there for the taking.   6*4*10= 
6*4*10 = 240
240   If we allow x to include as many factors as possible, within the constraints given, that is the most x could have in common with 2100.   240
Answer: D
One fourth of one third of two fifth of a number is 14. What will be40% of that number	Choose the correct answer
A) 168
B) 150
C) 180
D) 200
E) 250

Solution: Explanation:   (1/4) * (1/3) * (2/5) * x = 14 then x = 14 * 30= 
14 * 30 = 420
420   40% of 420= 168   168nswer: Option 168
Answer: A
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?	Select.
A) 230 m	B) 240 m	C) 260 m	D) 270 m	E) 290 m

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 26 sec.   Let the length of the train be x meters.   Then, (x + 250)/26 = 20   x = 270 m.   ANSWER:270 m
Answer: D
A and B complete a work in 6 days. A can alone can do it in 10 days. If both can together can do the work in how many days?  Pick one:	A) 7	B) 3.75	C) 2	D) 1	E) 8

Solution: 1/6 + 1/10 = 8/30 = 4/15   15/4= 
15/4 = 15/4 = around 3.75
3.75 days   ANSWER 3.75
Answer: B
In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choose the correct choice from the following answers
A) 9	B) 8	C) 7	D) 6	E) 5

Solution: T = 60/36 * 18/5= 
60/36 * 18/5 = 6
6 sec   Answer:6
Answer: D
is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 32, then how old is B? Select:
A) 7	B) 8	C) 9	D) 10	E) 12

Solution: Let C's age be x years.   Then, B's age = 2x years.   A's age = (2x + 2) years.   (2x + 2) + 2x + x = 32   5x = 30 => x = 6   Hence, B's age = 2x = 12 years.   ANSW12R:12
Answer: E
At a certain automobile dealership that sells only Tajima's and Franks, the number of non hybrid Tajima's is 35 less than 3 times the number of hybrid Tajima's. 205 total Tajima's are currently owned by the dealership. If the ratio of hybrid Tajima's to non hybrid Franks is 5:4 and there are 280 total automobiles owned by the dealership, how many hybrid Franks are there? Choose the correct choice from the following options:
A) 20
B) 27
C) 48
D) 60
E) 87

Solution: First, I only focus on Tajima's. Let x be hybrid Tajima's and y be non hybrid Tajima's. We know that x + y = 205 and we know that y=3x-35, Therefore we can conclude that x= 60 and y= 145   Next, let a be the number of non hybrid franks, we know the ratio, 60/a = 5/4, therefore a=48   Total number of franks is 75, so  75 - 48= 
 75 - 48 = 27
27   Took me 47 sec   ANSWER:48
Answer: C