MU-NLPC/Calc-aqua_rat huggingface dataset:
The unit digit in the product (224 * 607 * 214 * 863) is:	Choose the most appropriate option:
A) 2
B) 5
C) 6
D) 8
E) 10

Solution: Explanation:   Unit digit in the given product = Unit Digit in (4*7*4*3) = 6   ANSWER: 6
Answer: C
4 weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 16 weavers in 16 days? Choose the correct choice from the following options: A) 16 B) 32 C) 64 D) 96 E) 128

Solution: 1 weaver can weave 1 mat in 4 days.   16 weavers can weave 16 mats in 4 days.   16 weavers can weave 64 mats in 16 days.   The answer is 64.
Answer: C
An inspector rejects 10% of the meters as defective. How many will he examine to reject 12?	Pick:
A) A)100 B) B)120 C) C)250 D) D)200 E) E)160

Solution: Then, 10% of x= 12   (10/100)x = 12   x = (12*100*)/10= 120   Answer is 120
Answer: B
The Snow Lovers Ski Team is comprised of 4 men and 8 women. If a team of 5 skiers is to be randomly selected to pack the skis into the bus, what is the probability that the team will have exactly 3 women?  Choose the correct choice from the following answers:
A) 14/33	B) 7/33	C) 2/7	D) 13/73	E) 12/27

Solution: Combination Probability Formula: nCr = n!/[r!(n-r)!]   Total possible, select 5 people from 12 people = 12C5 = 12!/[5!(12 - 5)!] = 792.   To have 3 women there must be 2 men, select 2 men from 4 = 4C2 = 6.   And, select 3 women from 8 = 8C3 = 56.   3 women and 2 men = (6)(56) = 336   Probability = (number outcomes favorable)/(total number outcomes) = 336/792 = 14/33   14/33nswer: 14/33
Answer: A
The inverse ratio of 3: 2: 1 is?
Choose the correct option:  A) 2:9:5  B) 2:3:0  C) 2:3:5  D) 2:3:6  E) 2:3:1

Solution: 1/3: 1/2: 1/1 = 2:3:6   Answer:2:3:6
Answer: D
Compute the value of a + b + c + d. Choose the most appropriate option:	A) 40	B) 50	C) 60	D) 70	E) 80

Solution: Let s = a + b + c + d. Subtracting s from each side of the equations gives us   ab - a - b = 13-s   bc - b - c = 27- s   cd - c -d = 30 - s   da - d - a = 17 - s   Adding one to each side of the equations and applying Simon's Favorite Factoring Trick gives   us   (a - 1)(b - 1) = 14 - s   (b - 1)(c - 1) = 28 -s   (c - 1)(d - 1) = 31 - s   (d - 1)(a - 1) = 18 - s   Multiplying the first and third equations and the second and fourth equations allows us to write   the following equality:   (a - 1)(b - 1)(c - 1)(d - 1) = (14 - s)(31 - s) = (28 - s)(18 - s)   Expanding and solving for s gives us s = 70 .   correct answer 70
Answer: D
The angles of a triangle are in the ratio 1:6:8. Find the measurement of the largest of three angles of triangle.  Pick one
A) 96°  B) 100°  C) 120°  D) 140°  E) 160°

Solution: If the ratio of the three angles is 1:6:8, then the measures of these angles can be written as x, 6x and 8x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence   x + 6x + 8x = 180   Solve for x   15x = 180   x = 12   The measures of the three angles are   x = 12°   6x = 6 × 12 = 36°   8x = 8 × 12 = 96°   96°
Answer: A
Which of the following equations represents a line that is perpendicular to y=1/2*x+3?  Pick one.
A) y−2x=8
B) 2x+4y=10
C) 3y+6x=12
D) 4y−8x=16
E) 5x−10y=20

Solution: For two lines to be perpendicular, the product of slopes should be equal to -1.   Slope of line 1 = 1/2   Slope of the line perpendicular to line 1 must be -2. Option C can be rewritten as y = -2x + 4 --> Slope = -2   Answer: 5x−10y=20
Answer: E
In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels should always come together?	Answers:
A) 120
B) 190
C) 250
D) 370
E) 720

Solution: The word 'LEADING' has 7 letters. It has the vowels 'E','A','I' in it and these 3 vowels should always come together. Hence these 3 vowels can be grouped and considered as a single letter. that is, LDNG(EAI).   Hence we can assume total letters as 5 and all these letters are different. Number of ways to arrange these letters   =5!=5×4×3×2×1=120   In the 3 vowels (EAI), all the vowels are different. Number of ways to arrange these vowels among themselves   =3!=3×2×1=6=3!=3×2×1=6   Hence, required number of ways=120×6=720   Answer: 720
Answer: E
In how many ways can live boys and three girls sit in a row such that all boys sit together?  Answers.
A) 1972  B) 9022  C) 2880  D) 1097  E) 2781

Solution: Treat all boys as one unit. Now there are four students and they can be arranged in 4! ways. Again five boys can be arranged among themselves in 5! ways.   Required number of arrangements   = 4! * 5! = 24 * 120= 
24 * 120 = 2_880
2880.   Answer:2880
Answer: C
How many minutes does the bus stop per hour, if the speed of the bus including stoppages is 25 kmph and excluding stoppages is 30 kmph?  Choose the correct choice from the following choices
A) 5
B) 9
C) 10
D) 12
E) 15

Solution: Explanation:   T = 5/30 * 60= 
5/30 * 60 = 10
10   Answer: Option 10
Answer: C
What is the value of 4^5+4^8?  Choose the correct choice:
A) 4^12  B) 4^35  C) 17(4^5)  D) 8^12  E) 65(4^5)

Solution: 4^5+4^8   =4^5(1+4^3)   =4^5 * 65   Answer 65(4^5)
Answer: E
A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1480?
Choose the correct choice from the following options.
A) 3387	B) 277	C) 100	D) 288	E) 266

Solution: 3x 4x 5x   6 9 4   18x + 36x + 20x = 1480   74x = 1480 => x = 20   5x = 100 Rs.   Answer:100
Answer: C
A corporation paid $5 million in federal taxes on its first $50 million of gross profits and then $30 million in federal taxes on the next $150 million in gross profits. By approximately what percent did the ratio of federal taxes to gross profits increase from the first $50 million in profits to the next $150 million in profits?  Select:  A) 6%  B) 14%  C) 20%  D) 140%  E) 43%

Solution: 140%ifference in Ratios = (30/150) - (5/50) = (5/50)   % Change = (Change (5/50) / Original ratio (7/50)) *100 = 140%   Answer - 140%
Answer: D
How many three letter words are formed using the letters of the word TIME? Choose the correct choice.
A) 22
B) 76
C) 88
D) 24
E) 88

Solution: The number of letters in the given word is four.   The number of three letter words that can be formed using these four letters is   = 4 * 3 * 2= 
4 * 3 * 2 = 24
24.   Answer: 24
Answer: D
Which is less than 3?
Answers.
A) 3	B) 0.3	C) 33	D) 3/1	E) 13

Solution: 0.3 less than 3.   Answer: 0.3
Answer: B
A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:	Choose the correct option
A) Rs. 456  B) Rs. 458  C) Rs. 558  D) Rs. 568  E) None of these

Solution: Explanation:   Area to be plastered = [2(l + b) x h] + (l x b)   = {[2(25 + 12) x 6] + (25 x 12)} m2   = (444 + 300) m2   = 744 m2.   Cost of plastering = Rs. 744 x 75 / 100 = Rs. 558   Answer: Rs. 558
Answer: C
The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is?
Choose the correct choice from the following answers
A) 168	B) 127	C) 119	D) 154	E) 252

Solution: Number of words which can be formed   = 5! - 1 = 120 - 1= 
120 - 1 = 119
119.   Answer:119
Answer: C
If three painters can complete three rooms in three hours, how many painters would it take to do 27 rooms in 9 hours? Options.
A) 10	B) 8	C) 7	D) 9	E) 11

Solution: Explanation:   Three painters can complete three rooms in three hours.So 27 rooms can be painted in 9 hrs by 9 painters   Answer: 9) 9 painters
Answer: D
Two trains 200 m and 300 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choose the correct choice from the following answers:
A) 18
B) 10.9
C) 10.4
D) 10.8
E) 10.1

Solution: Relative speed = 60 + 40= 
60 + 40 = 100
100 km/hr.= 100 * 5/18 = 250/9 m/sec.   Distance covered in crossing each other = 200 + 300= 
200 + 300 = 500
500 m.   Required time= 500 * 9/250= 
500 * 9/250 = 18
18 secs   18nswer: 18
Answer: A
A car dealership has 40 cars on the lot, 20% of which are silver. If the dealership receives a new shipment of 80 cars, 35% of which are not silver, what percentage of total number of cars are silver?	Options:
A) 30%  B) 35%  C) 40%  D) 45%  E) 50%

Solution: The number of silver cars is 0.2*40 + 0.35*80= 
0.2*40 + 0.35*80 = 36
36   The percentage of cars which are silver is 36/120= 30%   The answer is 30%.
Answer: A
The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.70 per metre. Choose the correct choice from the following choices.
A) 2399 B) 6204 C) 2999 D) 5808 E) 2888

Solution: Explanation:   Area = (13.86 x 10000) sq.m = 138600 sq.m   Circumference =   Cost of fencing = Rs. (1320 x 4.70) = Rs. 6204.   Answer: 6204) 6204
Answer: B
A certain NYC taxi driver has decided to start charging a rate of 10 cents per person per mile. How much, in dollars, would it cost 3 people to travel x miles if he decides to give them a 50% discount? Pick:
A) 15x/100
B) 3x/100
C) 3/200
D) 3x/300
E) x/200

Solution: 1 person for x miles = 10 x cents   3 person for x miles = 3x10 x = 30x cents   15x/100fter discount 50% = 30x/2 = 15x cents   In dollars 30 /2= 
30 /2 = 15
15x cents   In dollars= 15x/100   15x/100nswer : 15x/100
Answer: A
Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 9 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?	Choose the correct choice from the following choices:
A) 72%  B) 80%  C) 100%  D) 120%  E) 125%

Solution: For A, r=8/2pi. Its capacity = (4pi)^2 * 9= 144pi   For B, r=10/pi. Its capacity = (5pi)^2 *8 = 200pi   72%/B = 144pi/200pi = 0.72   72%144  /200= 
144  /200 = 18/25 = around 0.72
0.72   72%
Answer: A
A four digit safe code does not contain the digits 1 and 4 at all. What is the probability that it has at least one even digit?  Select the correct option:	A) ¼	B) ½	C) ¾	D) 15/16	E) 1/16

Solution: 1) probability approach:   Probability of at least one even digit = Probability of one even digit + Probability of two even digits + Probability of three even digits + Probability of four even digits   I have four even digits: 0,2,6,8 and four odd digits: 3,5,7,9   So the probability of even digit is 1/21/2, as well of odd digit.   P1 = 1/21/2   P2 = 1/22=1/41/22=1/4   P3 = 1/23=1/81/23=1/8   P4 = 1/24=1/161/24=1/16   P = P1+P2+P3+P4 = 15/1615/16   2) combinatorial approach:   This approach is missing.   3) reversal probability approach:   Probability of at least one even digit = 1 - Probability of four odd digits   P = 1−1/24=15/16   ANSWER:15/16
Answer: D
Tom and John traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. After 15 minutes Tom passed John, Tom reaches a certain Gas station, how many R minutes it takes John to reach the station?
Choose one: A) 5 min B) 6 min C) 7 and 1/2 min D) 8 min E) 10 min

Solution: Since the question states “after 15 minutes”, we can say Tom traveled 15/4km for 15 minutes as he can travel 15km per hour. Hence, using the same logic, we can say John traveled 10/4km as he travels 10km per hour. So, John has to travel (15/4)-(10/4)km=5/4km more. Since John’s speed is 10km/hour, which means 1km/6minutes. As he has to travel 5/4km more, it is going to take him 6(5/4) minutes. Hence,R= 6(5/4)=15/2 minutes. The correct answer is 7 and 1/2 min.
Answer: C
Sandy walks around a circular field at the rate of one round per hour while Molly runs around it at the rate of five rounds per hour. If they start in the same direction from the same point, how many minutes will it take until they meet again?
Choose the most appropriate option.
A) 9	B) 12	C) 15	D) 18	E) 21

Solution: Since Sandy and Molly move in the same direction along the circle, they will first meet each other when there is a difference of one round between the two.   The relative speed of Sandy and Molly is   5 - 1= 
  5 - 1 = 4
4 rounds per hour.   The time required to complete one round at this speed is 1/4 hours= 15 minutes.   The answer is 15.
Answer: C
Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is ?
Options:  A) 5/19  B) 5/12  C) 5/11  D) 5/16  E) 5/17

Solution: Using question number 11 and 12, we get the probability as   1 - (1/36 + 5/9)   = 5/12   Answer: 5/12
Answer: B
A rower whose speed is 9 km/hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 3 km/hr. What is the rower's average speed (in km/hr) for the total journey?	Choose the correct choice from the following options:
A) 7 B) 8 C) 9 D) 10 E) 11

Solution: time upstream = d / 6   time downstream = d / 12   total time = d/6 + d/12 = d/4   average speed = 2d / (d/4) = 8 km/hr   The answer is 8.
Answer: B
Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many four letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter	Choose the correct choice from the following answers.
A) 2,145
B) 6,435
C) 12,100
D) 12,870
E) 326,040

Solution: Since we are given atleast one symmetric letter in the three letter word we can take the following cases   1. All four   2. One symmetry and other three non   3. Two symmetry and other two non   4. Three symmetry and one non   4. All the three letters can be arranged in 24 ways   ( 11c4 + 11c1 * 15c3 + 11c2 * 15c2 + 11c3 *15c1 ) * 6   (330 +5005 + 5775+2475 ) * 24   326,040   IMO option E is the correct answer..   OA please...will correct if I missed anything.. 326,040
Answer: E
5358 x 51 = ?
Choose the correct choice: A) 273258 B) 273268 C) 273348 D) 273358 E) None of them

Solution: =5358 x 51 = 5358 x (50-1)   =5358 x 50 + 5358 x 1   =267900 + 5358= 
267900 + 5358 = 273_258
273258   273258nswer is 273258
Answer: A
A town's oldest inhabitant is x years older than the sum of the ages of the Lee triplets. If the oldest inhabitants is now J years old, how old will one of the triplets R be in 20 years?
J-X-40/3 is my answers.
J = X + L + L + L is the initial situation
After 20 years
J + 20 = X + L + L + L + 60 ...20 years for each triplet so 60 years totally.
J - X - 40/ 3 = L is my answer.
What wrong am i doing ? Since the age asked is after 20 years i also consider adding 20 years to J . Choose the correct choice from the following answers.
A) (J - 50)/3  B) 3(J + 20)/x  C) (J + x - 50)/3  D) (J - x + 60)/3  E) (J + x - 20)/3

Solution: here it goes:   Oldest inhabitant = sum of age of triplets + X   J = 3L + X so L = (J - X)/3   After 20 years = L + 20   R= (J - X)/3 + 20   = (J - X + 60)/3=(J - x + 60)/3
Answer: D
Which is the following is divisible by 11.  Choose the correct choice from the following choices:
A) 4305 B) 4825 C) 4805 D) 4905 E) 4906

Solution: Explanation:   Sum of first 'n' natural numbers = n(n + 1)/2   Sum of first 9 natural numbers = 9(9 + 1)//2 = 9 x 5 = 45   Sum of first 99 natural numbers = 99(99 + 1)//2 = 99 x 50 = 4950   4950 - 45= 
4950 - 45 = 4_905
4905   Answer: Option 4905
Answer: D
A can give B 120 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?	Choose the correct choice from the following
A) 90.09 meters
B) 111.12 meters
C) 112.12 meters
D) 113.12 meters
E) None of these

Solution: Explanation:   A runs 1000 meters while B runs 880 meters and C runs 800 meters.   Therefore, B runs 880 meters while C runs 800 meters.   So, the number of meters that C runs when B runs 1000 meters = (1000 x 800)/880 = 909.09 meters   Thus, B can give C (1000 - 909.09) = 90.09 meters start   90.09 metersnswer: 90.09 meters
Answer: A
What is the square root of 4,624? Select:
A) A)18  B) B)9  C) C)68  D) D)62  E) E)81

Solution: A square root of a number is a number times itself equals the original number.   Ex) The square root of 81 is 9 because 9 times itself(9) equals the original number(81).   68*68=4,624   4624 divided by x = 68   x=68   (68)68
Answer: C
A bag contains 8 red balls, 5 green balls and 6 white balls. A ball is drawn at
random from the box. What is the probability that the ball drawn is either red or green?  Choose the correct option: A) 2/5 B) 3/5 C) 1/5 D) 13/19 E) 8/15

Solution: Total number of balls = (8 + 5 + 6)= 
(8 + 5 + 6) = 19
19.   Therefore, n(S)= 19.   Let E1 = event of drawing a red ball.   and E2 = event of drawing a green ball.   Then, E1 n E2 = f.   P (E1 n E2) = P(E1) + P(E2) = (4/19 + 5/19) = 13/19   ANSWER:13/19
Answer: D
By selling an Iron-box for Rs. 1000, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is? Choices: A) 5% B) 6% C) 12% D) 11% E) 8%

Solution: Explanation:   Marked price = Rs. 1000   C.P. = 100/120 * 1000 = Rs. 833.33   Sale price = 90% of Rs. 1000 = Rs. 900   Required gain % = 6.6/833.33 * 100 = 8%.   Answer: 8%
Answer: E
If ABC is an equilateral triangle and AB||CD, what fraction of the area of quadrilateral ABDC is shaded?	Select
A) 1/4  B) 1/(2√3)  C) 1/3  D) 1/2  E) 2/3

Solution: Height of triangle = Height of quadrilateral ABDC = (sqrt 3/2)x3.   Area of triangle AB1/3 =( sqrt 3/4)x3x3   Area of quadrilateral ABD1/3 = ((3+6)/2)x((sqrt 3/2)x3)   Therefore, ratio of Area of triangle AB1/3 to Area of quadrilateral ABD1/3 = 1/3
Answer: C
What percent is 50 gm of 1 kg? Choose the correct choice:
A) 0.5 %
B) 1%
C) 1.5%
D) 2%
E) 5%

Solution: 1 kg = 1000 gm   50/1000 × 100 = 5000/1000= 
5000/1000 = 5
5%   5%)
Answer: E
Of the d students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ? Choose the correct choice from the following choices.
A) d + w- x- y	B) d - w- x- y	C) d- w - x + y	D) w + x + y- z	E) w - x - y - z

Solution: {Total} = {French} + {German} - {Both} + {Neither}   d = x + y - w + {Neither}   {Neither} = d + w - x - y.   d + w- x- ynswer: d + w- x- y.
Answer: A
If the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 26, what is the value of r-p? Select:	A) 20	B) 10	C) 32	D) 40	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=52 ----eq2   Subtracting eq1 from eq2 we get: r-p=32   Hence, the correct answer is 32
Answer: C
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 24 seconds. The ratio of their speeds is?	Pick.
A) 3/6
B) 3/2
C) 7/3
D) 3/5
E) 5/2

Solution: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train   = 27 x meters, and length of the second train   = 17 y meters. (27 x + 17 y) / (x + y) = 24 ==> 27 x + 17 y = 24 x + 24 y   ==> 3 x = 7 y ==> x/y   = 7/3.   Answer:7/3
Answer: C
In how many different ways can 4 physics, 3 math, and 4 chemistry books be arranged in a row so that all books of the same subject are together?  Choose the correct answer.
A) 16,936 B) 18,226 C) 20,736 D) 22,426 E) 24,856

Solution: Let's think of each subject as a group so there are 3 groups.   The number of ways to arrange these 3 groups is 3!   Within each subject the books can be re-arranged.   So we need to multiply 3! by 4!*3!*4! which is 3!*4!*3!*4! = 20,736   The answer is 20,736.
Answer: C
The sum of the squares of the fifth and the eleventh term of an AP is 3 and the product of the second and fourteenth term is equal to P.Find the product of the first and the fifteenth term of the AP.	Choose the correct choice from the following answers.
A) (58P-39)/45 B) (98P+39)/72 C) (116P-39)/90 D) (98P+39)/90 E) None of these

Solution: (T5)^2+(T11)^2=3   T2*T14=P   T1*T15=?   (a+4d)^2+(a+10d)^2=3   2a^2+28ad+116d^2=3.....(1)   (a+d)(a+13d)=P   a^2+14ad+13d^2=P   a^2+14ad = P- 13d^2   1.5-45d^2=P   2P=3-90d^2...........(2)   a^2+14ad=?   =P-13d^2   =P-13(3-2P)/90   =(116P-39)/90   ANSWER:(116P-39)/90
Answer: C
The fourth proportional to 14, 22 and 28 is?
Choose one.
A) 21 B) 66 C) 88 D) 99 E) 44

Solution: (22*28)/14= 
(22*28)/14 = 44
44   Answer: 44
Answer: E
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?	Choose the correct choice from the following choices:
A) 17%
B) 68%
C) 18%
D) 15%
E) 38%

Solution: Total CP = Rs. 42000 + Rs. 13000   = Rs. 55000 and SP   = Rs. 64900   Profit(%) = (64900 - 55000)/55000 * 100= 
(64900 - 55000)/55000 * 100 = 18
18%   Answer: 18%
Answer: C
For any positive x, y and z if x is n% of y and z is m% of y then what percentage Z must x be of z? Choose the most appropriate option.
A) (n/m)%  B) (m × n)%  C) (100 / [m × n]) %  D) (100 × m/n)%  E) (100 × n/m)%

Solution: x is n% of y M(100 × n/m)%ANS x= (n/100 )* y------------------------eq1   z is m% of y M(100 × n/m)%ANS z= (m/100 )* y------------------------eq2   Find equation of xz   substitute value of y from 2nd equation into Ist equation   so x= (n/100)*(100z/m)   so x= (n/m)z   or x= (100n/m)z/100   so answer Z is 100n/m %.(100 × n/m)%
Answer: E
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?	Pick one:
A) 55%  B) 24%  C) 20%  D) 25%  E) 11%

Solution: Option 20%   Explanation:   SP2 = 2/3 SP1   20%P = 100   SP2 = 80   2/3 SP1 = 80   SP1 = 120   100 --- 20 => 20%
Answer: C
Jason is 4 times older than Bob at present. 8 years ago Jason was 12 times older. How old are Jason?  Choose the correct answer: A) 10 B) 11 C) 12 D) 13 E) 14

Solution: Jason age y=4(x)----(1), let us say Jason is x and bob is y   after 8 years Jason age is 8 12 time older than bob so y-8=12(x-8)---(2)   replace (2) equation y with with equation (1) value solve we get x=11 so y=44   ANSWER:11
Answer: B
A man travels 150km by train at 50km/hr, 200km by ship at 20km/hr, 300km by aeroplane at 100km/hr and 100km by car at 50km/hr. What is the average speed for the entire distance?	Answers:
A) 35.3km/hr B) 41.67km/hr C) 48.9km/hr D) 52.6km/hr E) 27.6km/hr

Solution: Total distance traveled = 150+200+300+100= 
150+200+300+100 = 750
750km   Total time taken= 150/50 + 200/20 + 300/100 + 100/50= 
150/50 + 200/20 + 300/100 + 100/50 = 18
18 hrs   Average speed= 750/18 = 41.67km/hr approximately ;   Answer is 41.67km/hr
Answer: B
Express of the following as a fraction: 0.008%  Choose the correct choice from the following choices:
A) 3/1250 B) 9/1250 C) 6/1250 D) 1/1250 E) None of them

Solution: 0.008 = 8/100 = 1/1250.   Answer is 1/1250.
Answer: D
Tough and Tricky questions: Coordinate Geometry.
Line L contains the points (2,3) and (p,w). If w = 2, which of the following could be the equation of line m, which is perpendicular to line L? Choose the correct choice from the following answers:	A) 2x + y = px + 7	B) 2x + y = –px	C) x + 2y = px + 7	D) y – 7 = x ÷ (p – 2)	E) 2x + y = 7 – px

Solution: we need m=p-2, so we should get y=mx+bform in answer choices   (A) 2x+y=px+7 => y=px-2x+7 => y=x(p-2)+7. It is what we need   (B) 2x + y = –px => y=-px-2x => y=x(-p-2). Wrong   (C) x + 2y = px + 7 => y=x(p-1/2)+7/2. Wrong   (D) y – 7 = x ÷ (p – 2) => y=(1/p-2)x+7. Wrong   (E) 2x + y = 7 – px => y=-px-2x+7 => y=x(-p-2)+7. Wrong   2x + y = px + 7=answer
Answer: A
A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day?  Choose the correct choice from the following answers:
A) 1/5
B) 1/6
C) 1/7
D) 1/8
E) 1/9

Solution: Given that 1/6 alone can complete the same work in days = half the time taken by A   = 9days   A’s one day work = 1/18   1/6’s one day work = 1/9   (A+1/6)’s one day work = 1/18+1/9 = 1/6   Answer : 1/6.
Answer: B