MU-NLPC/Calc-aqua_rat huggingface dataset:
James eats cookies every day. The first day, he eats 2 cookies. He eats 4 more cookies each day after that. What is the average number of cookies he eats per day for the first 2 weeks?  Answers:
A) 32.14  B) 45  C) 49.28  D) 30  E) 33.33

Solution: 2 weeks = 14 days   Total cookies = 2 + 6 + 10 + ... + (2 + 14(4))   =2 + 6 + 10 + ... + 58   =2(1 + 3 + 5 + ... + 29)   =2(1 + 2 + 3 + ... + 29 - (2 + 4 + ... + 28))   =2 (1 + 2 + ... + 29) - 2(2 + 4 + ... + 28)   =2(1 + 2 + ... + 29) - 2(2)(1 + 2 + ... + 14)   =2(29)(30)/2 - 4(14)(15)/2   =870-420= 
870-420 = 450
450   32.14verage= 450/14   =32.14   Option 32.14
Answer: A
A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in? Answers.
A) 15 3/7 days	B) 11 3/7 days	C) 12 3/7 days	D) 19 3/7 days	E) 13 3/7 days

Solution: 11 3/7 days   11 3/7 days   (x – 5)/15 + x/20 = 1   x = 11 3/7 days
Answer: B
Real-estate salesman Z is selling a house at a 20 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 20 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 20 percent discount. Salesman Y's final price is what fraction of salesman X's final price?
Choose the correct answer.
A) 29/32	B) 28/31	C) 30/31	D) 40/41	E) 34/15

Solution: Let the retail price be = x   Selling price of Z = 0.80x   Selling price of X = 0.80*0.80= 
0.80*0.80 = 0.64
0.64x   Selling price of Y= ((0.80x + 0.64x)/2)*0.80 = 0.72x * 0.80 = 0.58x   0.58x = k * 0.64x   k = 0.58/0.64 = 58/64=29/32   29/32nswer: 29/32
Answer: A
An article manufactured by a company consists of two parts X and Y. In the process of manufacturing of part X, 9 out 100 parts many be defective. Similarly , 5 out of 100 are likely to be defective in the manufacturer of Y. Calculate the probability that the assembled product will not be defective? Choose the correct choice from the following answers
A) 0.8647	B) 0.8642	C) 0.8645	D) 0.8628	E) 0.8612

Solution: Ans: Probability that the part X is nondefective is = 1 - 9/100= 
1 - 9/100 = 91/100 = around 0.91
.91   Probablity that the part Y is nondefective is= 1 - 5/100= 
1 - 5/100 = 19/20 = around 0.95
.95   so, Probablity of nondefective product=0.91××0.95=0.8645   Answer:0.8645
Answer: C
A focus group is currently made up of x men and y women. If 2 men and 4 women are added to the group, and if one person is selected at random from the larger focus group, then what is the probability that a woman is selected?
Pick one
A) x/(x + 2)  B) x/(x + y)  C) (x + 2)/(x + y + 2)  D) (y + 4)/(x + y + 6)  E) (x + 2)/(x + y + 6)

Solution: x men   y women   x+2+y+4 is the total   =x+y+6   y+4 is the number of men   so (y + 4)/(x + y + 6)   D. (y + 4)/(x + y + 6)
Answer: D
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
Choose the correct answer:	A) 1/125	B) 1/117	C) 1/198	D) 1/128	E) 1/126

Solution: Out of nine, five are good and four are defective. Required probability   = ⁴C₄/⁹C₄   = 1/126   Answer: 1/126
Answer: E
Two numbers are respectively 35% and 50% more than a third number. The percentage that is first of the second is?  Answers:
A) 90%
B) 47%
C) 38%
D) 52%
E) 83%

Solution: I II III   135 150 100   150----------135   100-----------? => 90%   90%nswer:90%
Answer: A
Randy can rebuild an automobile engine in a hours. Alvin can rebuild the same engine in b hours. If Randy and Alvin work together at their respective rates to rebuild the engine, which of the following represents the portion of the job that Alvin will not have to complete?
Choose the correct choice from the following answers:  A) ab/(a+b)  B) (a-b)/(a+b)  C) b/(b-a)  D) a/(a+b)  E) b/(a+b)

Solution: Randy can do the job in a hrs, Alvin can do the job in b hrs.   When they work together, you need to find the fraction of work that Randy doesn't need to do i.e. the fraction that will be done by Alvin.   Ratio of Randy's speed:Alvin's speed = b:a (since time taken by them is in the ratio a:b)   So Randy does b/(a+b) of the work and Alvin does a/(a+b) of the work.   Answer (b/(a+b)).
Answer: E
Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 53 percent of those who attended the meeting were stockholders and 63 percent were employees, what percent were stockholders who were not employees?
Choose the correct choice from the following options.
A) 34  B) 35  C) 36  D) 37  E) 38

Solution: 53+63= 
53+63 = 116
116 so 16% were both stockholders and employees.   The percent who were stockholders but not employees is  53-16= 
 53-16 = 37
37%   The answer is 37.
Answer: D
Two trains 140 m and 160 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?
Answers
A) 12.9 sec B) 29.0 sec C) 28.9 sec D) 10.8 sec E) 12.3 sec

Solution: Relative speed = 60 + 40= 
60 + 40 = 100
100 km/hr.= 100 * 5/18 = 250/9 m/sec.   Distance covered in crossing each other = 140 + 160= 
140 + 160 = 300
300 m.   Required time= 300 * 9/250 = 54/5= 
54/5 = 54/5 = around 10.8
10.8 sec.   Answer:10.8 sec
Answer: D
Mixture X contains 60% water and 40% chloride. If 120 gallons of Mixture Y is added to 80 gallons of mixture X in order to produce a solution that contains 75% water and 25% chloride, how many gallons of water must mixture Y contain?
Options
A) 100
B) 101
C) 102
D) 103
E) 104

Solution: 80 gallons of Mix X containing 40% chloride + 120 gallons of Mix Y ----> 25% chloride mixture   wA/wB = (cB - cAvg)/(cAvg - cA)   80/120 = (Y - 25)/(25 - 40)   2 * (-15) = 3 * (Y - 25)   Y = 15   So the concentration of chloride in Mix Y is 15%.   In 120 gallons of mix Y, you will have (85/100)*120= 
(85/100)*120 = 102
102 gallons   ANSWER:102
Answer: C
In a tree, 3/7 of the birds are robins while the rest are bluejays. If 1/3 of the robins are female and 3/5 of the bluejays are female, what fraction of the birds in the tree are male?
Choose the correct choice from the following answers.
A) 11/35	B) 14/35	C) 18/35	D) 31/70	E) 37/70

Solution: The fraction of birds that are male robins is (2/3)(3/7)=2/7.   The fraction of birds that are male bluejays is (2/5)(4/7)=8/35.   The total fraction of male birds is 2/7 + 8/35 = 18/35.   The answer is 18/35.
Answer: C
What will be the CI on a sum of Rs. 25,000 after 3 years at the rate of 12 per year?	Answers
A) Rs. 10100  B) Rs. 10110  C) Rs. 10123.20  D) Rs. 10135.50  E) Rs. 10167.20

Solution: Amount   = Rs. 25000 x 1 + 12 3   100   = Rs. 25000 x 28 x 28 x 28   25 25 25   = Rs. 35123.20   C.I. = Rs. (35123.20 - 25000) = Rs. 10123.20   Rs. 10123.20
Answer: C
Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?  Pick.
A) 11 minutes B) 17 minutes C) 18 minutes D) 10 minutes E) 16 minutes

Solution: Part of the filled by all the three pipes in one minute   = 1/18 + 1/15 - 1/45 = (5 + 6 - 2)/90 = 9/90 = 1/10   So, the tank becomes full in 10 minutes.   Answer: 10 minutes:
Answer: D
A man started driving at a constant speed, from the site of a blast, the moment he heard the blast. He heard a second blast after a time of 30 mins and 24 seconds. If the second blast occurred exactly 30 mins after the first, how many meters was he from the site when he heard the second blast? ( speed of sound = 330 m/s)
Choose the correct choice from the following:
A) 6810
B) 7920
C) 9030
D) 10,140
E) 11,250

Solution: The distance the sound traveled to the man is 24*330= 
24*330 = 7_920
7920 meters   The answer is 7920.
Answer: B
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?  Choose the correct choice from the following choices:
A) 1500
B) 1528
C) 2796
D) 2650
E) 3971

Solution: P = 15(100/10)2 => P   = 1500   1500nswer:1500
Answer: A
9 friends decided to divide the hotel bill evenly. If the bill was $124.15 dollars, how much money did they pay if 1 cent is the smallest unit?  Choose the correct choice from the following:
A) $124.11 B) $124.12 C) $124.13 D) $124.14 E) $124.15

Solution: This is equivalent to finding the first number that is divisible by 9 that occurs after 12415.   In order to divide the sum in 9 parts, the amount must be divisible by 9   Divisibility rule of 9: The sum of the digits must be divisible by 9   Sum of digits of 12415 = 13 and 9 is divisible by 9.   Hence, we need to remove 4 to this number for it to be divisible by 9   Correct Option: $124.11
Answer: A
When the positive integer y is divided by 5 and 7, the remainder is 3 and 4, respectively. When the positive integer z is divided by 5 and 7, the remainder is 3 and 4, respectively. Which of the following is a factor of y-z? Choose the correct choice from the following options:
A) 12
B) 24
C) 35
D) 16
E) 30

Solution: If I have a number n which when divided by 5 gives a remainder 3 and when divided by 7 gives a remainder 4, the number is of the form:   n = 5y + 3   n = 7z + 4   I will need to check for the smallest such number.   I put z= 1. n = 11. Is it of the form 5y + 3? No.   Put z= 2. n = 18. Is it of the form 5y + 3? Yes.   When 18 is divided by 5, it gives a remainder of 3. When it is divided by 7, it gives a remainder if 4.   Next such number will be 35 + 18 because 35 will be divisible by 5 as well as 7 and whatever is the remainder from 18, will still be the remainder   Next will be 35*2 + 18   and so on...   Difference between such numbers will be a multiple of 35 so your answer is 35.   your answer is 35
Answer: C
In how many different number of ways 1 boys and 3 girls can sit on a bench? Choose the correct choice from the following answers
A) 720
B) 730
C) 740
D) 24
E) 800

Solution: npn = n!   4p4 = 4 × 3 × 2 × 1 = 24   24
Answer: D
Lucy deposited $62500 in an investment fund that provided 8 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $5100?
Pick one
A) 0.5 B) 24 C) 93 D) 63 E) 6.1

Solution: A = P + I = 62500 + 5100= 
62500 + 5100 = 67_600
67600   67600= 62500(1 + 8/4*100)^(4t)   (676/625) = (102/100)^(4t)   t =7 7/9 yrs = 93 months   Answer: 93
Answer: C
How many different pairs of positive integers (a, b) satisfy the equation 1/a+1/b=34/57 ? Choose the correct choice from the following answers
A) 6  B) 3  C) 2  D) 1  E) 5

Solution: There is no certain way to solve 2 unknown with 1 equation. The best way is to look at the question and retrospect the most efficient way. In this question, a and b are only positive integers. So that is a big relief. Now, we can start with putting a=1,2,.. and so on till the time we are confident about one of the options.   So, we start with   a=1, we get b as -ve. out   a=2, we get b as 6. Yes (Now (a,b) = (2,6). We can directly see that (a,b)=(6,2) will also satisfy. So we have 2 possible solutions)   a=3, we get b as 3. Yes (Now we have 3 possible solutions)   a=4, we get b as fraction. Out   a=5, we get b again as some fraction. Out   a=6 already taken.   We have A,B options left. C,D,E are out.   A is 6. To have 6 as the answer, we will need one more pair like2,6and one more solution where a=b.   When a=b, we have only 1 solution = 5. So, one more solution, where a=b is not possible.   So, answer will be 5.
Answer: E
A can complete a project in 20 days while B can complete same project in 30 days. If A and B start working together and A leaves the work 20 days before completion of project, then in how many days the project will be completed?  Select the correct option:
A) 18 B) 19 C) 20 D) 21 E) 24

Solution: A's 1day work=1/20;   B's 1day work=1/30;   (A+B) 1day work=(1/20+1/30)=1/12;   It is given that A leaves the work 20 days before completion of the project..   Thus,B alone does the remaining job in 20 days.   So,In 20 days ,B can do 2/3 w ..   Thus,(A+B) have worked (1-2/3)=1/3 w..   (A+B)can do 1/12 work in 1 day...   They did 1/3 w in 4 days.   Total days=(4+20)= 
(4+20) = 24
24   ANSW24R:24
Answer: E
What is the distance covered by a train if it travels with a speed of 150 kmh for 8 hours?	Choose the most appropriate option
A) 1000 km
B) 700 km
C) 800 km
D) 1400 km
E) 1200 km

Solution: Distance= Time x Speed   Distance = 150 x 8 = 1200   Answer: 1200 km
Answer: E
find the odd man out in the following series
3, 6, 9, 12, 14 Choose the correct choice from the following choices.
A) 3  B) 6  C) 9  D) 12  E) 14

Solution: In the series except 14 all others are the multiples of 3   so the answer is option 14) 14
Answer: E
The current birth rate per thousand is 32, where as corresponding death rate is 10 per thousand. The net growth rate in terms of population increase in percent is given by?  Choose the correct option
A) 2.0%	B) 3.2%	C) 3.9%	D) 4%	E) 5.1%

Solution: Net growth on 1000 = 32-10 = 20   Net growth on 100 = 20*100/1000= 
20*100/1000 = 2
2.0%   2.0%nswer is 2.0%
Answer: A
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
Choose the correct option:
A) 227 B) 247 C) 200 D) 277 E) 121

Solution: 2(l + 100) = 600 => l = 200 m   Answer:200
Answer: C
A man performs 2/15 of total journey by train,9/20 by tonga and the remaining 10 kms on foot. total journey is ?
Choose the correct choice from the following answers.
A) 30  B) 20  C) 24  D) 21  E) 23

Solution: 1-((2/15)+9/20)=1-35/60=25/60=5/12   5/12 of x=10km(Remaining)   x=10*12/5= 
10*12/5 = 24
24   ANSWER:24
Answer: C
How many 7 digit number are there having the digit 3 three times & the digit 5 four times?  Pick
A) 7!/(3!)(5!) B) 3^3 * 5^5 C) 77 D) 35 E) 38

Solution: Explanation :   7!/3!*4!=35   Answer : 35
Answer: D
A family has two children. find the probability that both the children are boys given that at least
one of them is a boy?	Choose the correct choice from the following answers
A) 1/3
B) 1/5
C) 1/7
D) 1/11
E) 1/13

Solution: Let b stand for boy and g for boy. The sample space of the experiment is   S = {(g, g), (g, b), (b, g), (b, b)}   Let E and F denote the following events :   E : ‘both the children are boys’   F : ‘at least one of the child is a boy’   Then E = {(g,g)} and F = {(g,g), (g,b), (b,g)}   Now E n F = {(g,g)}   Thus P(F) = 3/4   and P (E n F )= 1/4   Therefore P(E|F) = P(E ∩ F)/P(F) = (1/4)/(3/4) = 1/3   1/3)
Answer: A
If two distinct positive divisors of 64 are randomly selected, what is the probability that their sum will be less than 32?
Choose one.
A) 1/3  B) 1/2  C) 5/7  D) 10/21  E) 15/28

Solution: list the distinct positive factors: 1,2,4,8,16,32,64   selecting 2 from this list = 7C2 = 21   as per the given condition there sum has to be less than 32   picking any 2 numbers from our list of first five numbers will render the sum less than 32 in any case   selecting 2 number from 5 numbers = 5C2 = 10   proability = 10/21   correct answer - 10/21
Answer: D
21, 9, 21, 11, 21, 13, 21, ?  Select.
A) 15	B) 17	C) 23	D) 25	E) 27

Solution: In this alternating repetition series, the number 21 is interpolated. If you exclude 21, the series increases by 2, beginning with the number 9.   15nswer : 15.
Answer: A
A is thrice as good a workman as B and therefore is able to finish a job in 50 days less than B. working together, they can do it in Answers.
A) days  B) 3/4 days  C) days  D) days  E) days

Solution: Explanation:   B = 3A   3A – A =50 days   A = 25days   Then, B = 90 days   (A + B) = 25 × 90/ 120 = 18 3/4 days .   Answer: Option 3/4 days
Answer: B
Find the odd man out. 1, 27, 216, 512, 1024, 1331 Select the correct option
A) 1024	B) 512	C) 27	D) 1	E) 1331

Solution: Explanation :   1024ll given numbers except 1024 are perfect cubes   1024nswer : Option 1024
Answer: A
In a group of ducks and cows, the total no.of legs are 24 more than twice the no.of heads. Find the total no.of buffaloes.
Choose one.
A) 10	B) 12	C) 14	D) 16	E) 19

Solution: Let the number of buffaloes be x and the number of ducks be y   => 4x + 2y = 2 (x + y) + 24   => 2x = 24 => x = 12   12
Answer: B
15 business executives and 3 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
Select the correct option:
A) 150
B) 131
C) 115
D) 90
E) 45

Solution: there are 15 business exec and in each handshake 2 business execs are involved.   hence 15C2=105   Also, each of 15 exec will shake hand with every 3 other chairmen for total of 45 handshake.   total=45+105= 
45+105 = 150
150   150NS:150
Answer: A
(18)7 x (5832)-2 ÷ (324)-1 = (18)7 Options.
A) 5	B) 4	C) 3	D) 2	E) 1

Solution: Explanation :   (18)7 x (183)-2 ÷ (182)-1   (18)7 x (18)-6 ÷ (18)-2   (18)7-6+2 = (18)3   Answer : Option 3
Answer: C
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
Choose the correct answer:
A) 17 min B) 10 min C) 15 min D) 47 min E) 55 min

Solution: Let the length of the train be x m.   When a train crosses an electric pole, the distance covered is its own length.   So, x = 12 * 36 * 5 /18= 
12 * 36 * 5 /18 = 120
120 m.   Time taken to cross the platform= (120 +350)/ 36 * 5/18   =47 min.   Answer:47 min
Answer: D
How many even number in the range between 8 to 100 inclusive are not divisible by 3	Choose the correct choice from the following options.
A) 15
B) 30
C) 32
D) 33
E) 46

Solution: We have to find the number of terms that are divisible by 2 but not by 6( as the question asks for the even numbers only which are not divisible by 3)   For 2,   8,10,12,14...100   using AP formula, we can say 100 = 10 + (n-1) *2   or n=47.   For 6,   12,18,...96   using AP formula, we can say 96 = 12 + (n-1) *6   or n=15.   Hence, only divisible by 2 but not 3 = 47-15= 
47-15 = 32
32. hence, Answer 32
Answer: C
If x < 0 and 0 < y < 1, which of the following has the greatest value C?
Choose the correct answer: A) x^2 B) (xy)^2 C) (x/y)^2 D) x^2/y E) x^2*y

Solution: Given, x < 0 and 0 < y < 1   Let, x = -2 and y = 1/2   A. x ^2 = (-2)^2 =4   B. (xy)^2 = (-2*1/2)^2 =1   C. (x/y)^2 = {-2/(1/2)}^2 = (-4)^2 =16   D. x^2/y = (-2)^2 / (1/2) = 4*2= 
4*2 = 8
8   E. x^2*y= (-2)^2*(1/2) =2   Answer: option (x/y)^2
Answer: C
If n is a prime number, which of the following could be true  Choose the correct choice.
A) n^n=n	B) n^2/4= is even	C) n^n/4 = 1^(n-1)	D) n^2+n^3= n^5	E) (n)(n^n) = is negative

Solution: C should be the answer.   2^2/4 = 1^(2-1)
Answer: C
From a group of 19 astronauts that includes 10 people with previous experience in space flight, a 3-person crew is to be selected so that exactly 1 person in the crew has previous experience in space flight. How many different crews of this type are possible?	Choose the correct choice.
A) 380	B) 370	C) 350	D) 360	E) 340

Solution: number of astronauts with previous experience = 10   Remaining =9   we need to pick exactly one from the first group   and 2 from the second group   (10C1)*(9C2)   =10*36= 
10*36 = 360
360   Answer : 360
Answer: D
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choose the correct option
A) 7 kmph	B) 5 kmph	C) 3 kmph	D) 8 kmph	E) 2 kmph

Solution: Speed downstream = d/t = 85/(2 1/2) = 34 kmph   Speed upstream = d/t = 45/(2 1/2) = 18 kmph   The speed of the stream = (34 - 18)/2= 
(34 - 18)/2 = 8
8 kmph   Answer: 8 kmph
Answer: D
the sum of series represented as
1/(1*5) + 1/(5*9) + 1/(9*13) +..... + 1/(221*225) is Select.
A) 28/221 B) 56/221 C) 56/225 D) 54/225 E) none of these

Solution: 1/(1*5) + 1/(5*9) + 1/(9*13) +..... + 1/(221*225)   =(1/4)*[(5-1)/(1*5) + (9-5)/(5*9) + (13-9)/(9*13) +..... + (225-221)/(221*225)]   =(1/4)*[(1- 1/5)+(1/5 - 1/9)+(1/9 -1/13)+...(1/221 -1/225)]   =(1/4)*(1- 1/225)   =(1/4)*(224/225)   =56/225   ANSWER:56/225
Answer: C
Before leaving for his business trip, Chad asks his assistant to choose and pack five shirts from his closet, which currently contains eight shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt will be one of the shirts packed but the blue shirt will not?	Choose the correct choice from the following options
A) 1/5
B) 3/7
C) 5/14
D) 9/28
E) 15/56

Solution: The total number of ways to choose 5 shirts from 8 is 8C5 = 56   The number of ways to choose a pink shirt plus 4 shirts from 6 is 6C4 = 15   P(a pink shirt but not a blue shirt) = 15/56   The answer is 15/56.
Answer: E
By using the numbers 0, 2, 3, 5 and 4 only once, how many five digit numbers can be made that are divisible by 8?
Select the correct option
A) 18
B) 24
C) 48
D) 16
E) 52

Solution: A number to be divisible by 8 must end with 8, 16, 24,32,40...   So, there are the following cases possible:   035-24 --> the first three digits can be arranged in 3=6 ways.   054-32--> the first three digits can be arranged in 3=6 ways.   235-40--> the first three digits can be arranged in 3=6 ways.   Total = 6+6+6= 
6+6+6 = 18
18.   18nswer: 18.
Answer: A
Of the following values of n, the value of (-1/7 )^(-n) will be greatest for n =
Choose one.
A) 3
B) 2
C) 0
D) -2
E) -3

Solution: imo -2   (-17)^-2=   1/(1/49)= 
1/(1/49) = 49
49   oops i meant 2   2
Answer: B
The average age of A and B is 40 years. If C were to replace A, the average would be 38 and if C were to replace B, the average would be 52. What are the age of A, B and C?	Choose the most appropriate option:  A) 40, 38, 52  B) 40, 20, 26  C) 36, 80, 20  D) 54, 26, 50  E) None of the above

Solution: Given A + B = 80â€¦(i)   C + B = 76 â€¦ (ii)   A + C = 104â€¦(iii)   (i) + (ii) + (iii) â‡’ A + B + C = 130 â€¦(iv)   from (i) and (iv), we get   C = 50 years   âˆ´ B = 26 years and A = 54 years   Answer 54, 26, 50
Answer: D
Steve traveled the first 2 hours of his journey at 55 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey?  Options:
A) 60 mph
B) 56.67 mph
C) 70 mph
D) 64 mph
E) 66.67 mph

Solution: Distance traveled in 2 hours = 2 * 55= 
2 * 55 = 110
110 m   Distance traveled in 3 hours= 3 * 80= 
3 * 80 = 240
240m   Total distance covered= 240 + 110= 
240 + 110 = 350
350m   Total time= 2 + 3= 
2 + 3 = 5
5 h   Hence avg speed= total distance covered / total time taken   = 350/5= 
350/5 = 70
70mph   Answer: 70 mph
Answer: C
The sum of ages of 5 children born 2 years different each is 40 years. What is the age of the Elder child?
Select the correct option:
A) 12	B) 9	C) 10	D) 16	E) 17

Solution: Let the ages of children be x, (x + 2), (x + 4), (x + 6) and (x + 8) years.   Then, x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 40   5x = 20   x = 4.   x+8= 4+8= 
4+8 = 12
12   12nswer : 12
Answer: A
What is the difference between the largest and the smallest number written with 7, 7, 0, 7?
Choose the correct choice from the following choices
A) 6893
B) 6993
C) 6093
D) 693
E) None

Solution: 7770   7077   -------------   693   ANSWER:693
Answer: D
If "PROMPT" is coded as QSPLOS ,then "PLAYER" should be  Choose the correct choice from the following
A) FKSKJH  B) DSKUIW  C) SHOUSA  D) QMBXDQ  E) SUISDUH

Solution: Explanation:   1st 3 letters are denoted by its next alphabet and the next 3 letters are denoted by its previous alphabets.   Answer: QMBXDQ
Answer: D
If a: b = 1:4, b:c = 13:9, c:d = 5:13, find a:d?  Choose the most appropriate option
A) 5/46 B) 7/36 C) 1/36 D) 5/36 E) 5/37

Solution: a/d = (1/4)*(13/9)*(5/13) => 5/36   ANSWER:5/36
Answer: D
The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is	Choose the correct choice from the following answers:  A) 1/2  B) 2/3  C) 3/5  D) 5/7  E) 7/8

Solution: Sol. Required probability = Pg.) x P(B) = (1— D x(1 —I) =: x 1=1/2   1/2ns.(1/2)
Answer: A