MU-NLPC/Calc-aqua_rat huggingface dataset:
Complete the series 95, 115.5, 138, ..., 189
Choose one.
A) 189
B) 198
C) 178
D) 187
E) 193

Solution: 95 + 20.5= 
95 + 20.5 = 115.5
115.5   115.5 + 22.5= 
115.5 + 22.5 = 138
138   138 + 24.5= 
138 + 24.5 = 162.5
162.5   162.5 + 26.5= 
162.5 + 26.5 = 189
189   189nswer is 189.
Answer: A
Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.3 more than the next one below it in size. What was the cost, in dollars, of the largest pot?	Answers:
A) $1.75 B) $1.85 C) $2.00 D) $2.12 E) $2.30

Solution: This question can be solved with a handful of different Algebra approaches (as has been shown in the various posts). Since the question asks for the price of the largest pot, and the answers are prices, we can TEST THE ANSWERS.   We're told that there are 6 pots and that each pot costs 30 cents MORE than the next. The total price of the pots is $8.25. We're asked for the price of the largest (most expensive) pot.   Since the total price is $8.25 (a 30-cent increment) and the the difference in sequential prices of the pots is 30 cents, the largest pot PROBABLY has a price that is a 30-cent increment. From the answer choices, I would then TEST Answer D   IF....   The largest pot = $2.125   The other 5 pots are....   0.625   0.925   1.225   1.525   1.825   2.125   Total = $8.25   So this MUST be the answer.   $2.12
Answer: D
Evaluate the sum
1-2 +3-4 + 5-6 +... + 997-998 + 999-1000	Select the correct option.
A) -500	B) -1000	C) -999	D) -1001	E) 500500

Solution: One groups the first two terms and each successive two terms to obtain a sum of   500 expressions each of which is -1. The answer is -500   correct answer -500
Answer: A
A train passes a man standing on the platform. If the train is 180 meters long and its speed is 72 kmph, how much time it took in doing so? Answers.
A) 6 Â½ sec B) 6 Â½ sec C) 9 Â½ sec D) 9 sec E) 7 Â½ sec

Solution: 9 sec   9 sec   9 sec = 180   S = 72 * 5/18= 
72 * 5/18 = 20
20 mps   T= 180/20= 
180/20 = 9
9 sec
Answer: D
Insert the missing number.
8, 7, 11, 12, 14, 17, 17, 22, 20, (....) Choose the correct answer:
A) 27 B) 20 C) 22 D) 24 E) 26

Solution: There are two series (8, 11, 14, 17, 20) and (7, 12, 17, 22, 27) increasing by 3 and 5 respectively.   answer : 27
Answer: A
A person travels from K to L a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ?
Pick one.
A) 50 kmph  B) 70 kmph  C) 60 kmph  D) 80 kmph  E) 10 kmph

Solution: Explanation:   Speed on return trip = 150% of 50 = 75 km/hr.   Average speed = (2 x 50 x 75)/(50 + 75) = 60 km/hr.   Answer: 60 kmph
Answer: C
A pair of articles was bought for $1000 at a discount of 10%. What must be the marked price of each of the article?
Pick.
A) $555.55
B) $500
C) $350
D) $400
E) $600

Solution: S.P. of each of the article = 1000/2= 
1000/2 = 500
$500   Let M.P= $x   90% of x = 500   x = 500*100/90 =$555.55   $555.55nswer is $555.55
Answer: A
In a hotel we can order two types of varities,but we can make 6 more variteis in home.One can choosethe four varities with two from hotel as must.Find how many ways one can order. Choices.
A) 14
B) 15
C) 56
D) 28
E) 30

Solution: No. of ways=2c2*6c2=15   ANSWER:15
Answer: B
If 2/z = 2/(z + 1) + 2/(z + 25) which of these integers could be the value of z?  Choose the correct choice from the following:
A) 0	B) 1	C) 2	D) 3	E) 5

Solution: Solving for z algebraically in this problem would not be easy. Instead, we can follow the hint in the question (“which of these integers…”) and test each answer choice:   A. 2/0 = 2/1 +2/25 INCORRECT (Division by zero)   B. 2/1 = 2/2 +2/26 INCORRECT   C. 2/2 = 2/3 +2/27 INCORRECT   D. 2/3 = 2/4 +2/28 INCORRECT   E. 2/4 = 2/5 +2/30 CORRECT   The correct answer is E, because it contains the only value that makes the equation work. Notice how quickly this strategy worked in this case
Answer: E
A and B together do a work in 20 days.B and C together in 15 days and C and A in 12 days.so A,B and C together finish same work in how many days?  Choices.
A) 12  B) 15  C) 8  D) 10  E) 11

Solution: (A+B) work in 1 day= 1/20,(B+C) work in 1 days = 1/15.,(C+A) work in 1 days=1/12   (1) adding=2[A+B+C] in 1 day work = [1/20+1/15+1/12]=1/5   (A+B+C) work in 1 day= 1/10   So,all three together finish work in 10 days   Answer 10
Answer: D
If x is 40 percent greater than 88, then x = Choose one
A) 68	B) 70.4	C) 123.2	D) 105.6	E) 108

Solution: x=88*1.4= 
88*1.4 = 123.2
123.2   So the answer is 123.2.
Answer: C
Of the mutual funds on a “select list,” 2/3 have 5-star ratings, and 2/5 of the remaining funds have 4-star ratings. If the remaining 100 funds on the list have 3-star ratings, how many funds are on the list?	Choose the correct option.
A) 500  B) 750  C) 1,000  D) 1,200  E) 1,500

Solution: 500   Fraction of 5- and 4-star funds: 2/3 + (2/5)*(1/3) = 2/3 + 2/15 = 12/15=4/5   Fraction of 3-star funds = 1 - 4/5 = 1/5   (1/5)*Total = 100   Total = 500
Answer: A
How many positive integers will divide evenly into 440?  Choose one:
A) 8	B) 12	C) 16	D) 18	E) 20

Solution: 520 = 10*13*4 = 8*5*13 = 2^3*5*13   We need to positive integers will divide evenly into 520 or simply the factors of 520   If a number is of the form 2^a*3^b*5^c,   Total factors = (a+1)(b+1)(c+1)   Therefore, number of factors of 520 = (3+1)*(1+1)*(1+1) = 4*2*2 = 18   Option 18
Answer: D
The bankerâ€™s discount of a certain sum of money is Rs. 80 and the true discount on the same sum for the same time is Rs. 70. The sum due is	Choose the correct choice from the following answers:
A) 210  B) 280  C) 560  D) 450  E) None

Solution: Sol.   Sum = B.D. * T.D. / B.D. - T.D. = Rs.[80 * 70 / 80 - 70] = Rs. [80 * 70 / 10] = Rs. 560   Answer 560
Answer: C
Elvin's monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for Internet service. Elvin's total telephone bill for January was $50 and Elvin's total telephone bill for February was 76$. If Elvin's charge for the calls he made in February was twice the charge for the calls he made in January, what is Elvin's fixed monthly charge for Internet service? Choose the correct choice from the following choices:
A) $5
B) $10
C) $14
D) $24
E) $28

Solution: Bill = Fixed Charge + Charge of Calls made   in Jan, Bill = Fixed Charge(Let, y) + Charge of calls made in Jan (Let, x) = $50   in Feb, Bill = Fixed Charge (Let, y) + Charge of calls made in Feb (Then, 2x) = $76   i.e. x+y = 50   and 2x+y = 76   Take the difference if two equations   i.e. (2x+y) - (x+y) = 76 - 50   i.e. x = 26   i.e. Fixed Monthly Charge, y = 26   Answer: $24
Answer: D
The average of 45 students in a class is 18 years. The average age of 21 students is 16. What is the average age of remaining 14 students?  Choose the correct choice from the following choices
A) 21  B) 16  C) 17  D) 18  E) 19

Solution: Sum of the ages of 14 students   = (18* 45) - (18 * 21) = 810 - 378= 
810 - 378 = 432
432   Required average= (266/23)   = 18 years.   Answer: 18
Answer: D
If 2x +3y = 30 and (x+y)/y = 11/8, then find the value of 5y + 6x	Choices:
A) 72
B) 58
C) 64
D) 29
E) 28

Solution: Explanation:   The given equations are :   2x + 3y = 30 --------- (i)   and, (x+y)/y = 11/8   8x + 8y = 11y   8x – 3y =0 ----(ii)   Adding (i) & (ii), we get : 10 x = 30 or x = 3.   Put x = 3 in (i), we get : y = 8   Therefore, 5y + 6x = (5 * 8 + 6 * 3) = 40 + 18= 
40 + 18 = 58
58.   ANSWER: 58
Answer: B
If 0 < c < 1, what is the median of the values c, c^-1, c^2, c^1/2 and c^3? Choose the correct answer:	A) c	B) c^-1	C) c^2	D) c^1/2	E) c^3

Solution: A. To make the problem less confusing, I picked a number between 0 and 1 such as c = 1/4 and calculate:   c = 1/4   c^-1 = 4   c^2 = 1/16   c^(1/2) = 1/2   c^3 = 1/8.   From this, rearrange the number and the median is 1/4, which is c. cnswer c
Answer: A
A tank is filled by 3 pipes A,B,C in 4 hours. Pipe C is twice as fast as B and B is twice as fast as A. How much will pipe A alone take to fill the tank ?  Options.
A) 25hr  B) 35hr  C) 40hr  D) 20hr  E) 28hr

Solution: Suppose pipe A alone take x hours to fill the tank   Then pipe B and C will take x/2 and x/4 hours respectively to fill the tank.   1/x + 2/x + 4/x = 1/4   7/x = 1/4   x = 28 hours   Answer is 28hr
Answer: E
Two cyclist start on a circular track from a given point but in opposite direction with speeds of 7m/s and 8m/s. If the circumference of the circle is 300meters, after what time will they meet at the starting point? Answers:
A) 20sec	B) 15sec	C) 30sec	D) 50sec	E) 1min

Solution: They meet every 300/7+8 = 20sec   20secnswer is 20sec
Answer: A
A company’s eight trucks running 3 hrs a day can carry 1,200 packs of produce. The company invested in 4 new trucks and got rid of 2 of the previous ones. The new trucks can carry 0.5% more produce than the old ones. How many produce in total can be delivered within the next 2 days for 4 hours?	Choose the correct choice:
A) 4,800	B) 9,200	C) 4,400	D) 3,600	E) 800

Solution: Old trucks can carry (1,200/8)/3 = 50 per hour each.   New trucks carry   1.5*50= 
  1.5*50 = 75
75 per hour each.   In total, 6 old trucks + 2 new trucks is (6*75*4 hours*2 days) + (2*50*4 hours*2 days)= 4,400.   Answer is option 4,400.
Answer: C
Today is Monday. After 30 days, it will be :	Pick one
A) Thursday
B) Saturday
C) Monday
D) Sunday
E) Wednesday

Solution: Each day of the week is repeated after 7 days.   So, after 28 days, it will be Monday.   After 30 days, it will be Wednesday.   Answer is Wednesday
Answer: E
A box has exactly 100 balls, and each ball is either red, blue, or white. If the box has 15 more blue balls than white balls, and thrice as many red balls as blue balls, how many white balls does The box has ? Choose the correct choice from the following answers: A) 8 B) 10 C) 12 D) 14 E) 16

Solution: x = the number of red balls   y = the number of blue balls   z = the number of white balls   From the first sentence we have   Equation #1: x + y + z = 100   ...the box has 15 more blue balls than white balls...   Equation #2: y = 15 + z   ...thrice as many red balls as blue balls...   Equation #3: x = 3y   Solve equation #2 for z: z = y - 15   Now, we can replace both x and z with y in Equation #1   3y + y + (y - 15) = 100   5y - 15 = 100   5y = 115   y = 23   There are 23 blue balls. This is 15 more than the number of white balls, so z = 8. That's the answer. Just as a check, x = 69, and   69 + 23 + 8= 
  69 + 23 + 8 = 100
100.   8nswer= 8,(8)
Answer: A
There are 20 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes?
Choose the correct option.
A) 20
B) 25
C) 30
D) 45
E) 60

Solution: Note that each handshake includes two people.   The total number of handshakes is  20*3/2= 
 20*3/2 = 30
30   The answer is 30.
Answer: C
The food in a camp lasts for 25 men for 40 days. If fifteen more men join, how many days will the food last?	Answers:
A) 25 days B) 30 days C) 20 days D) 16 days E) 27 days

Solution: one man can consume the same food in 25*40= 
25*40 = 1_000
1000 days.   15 more men join, the total number of men= 40   The number of days the food will last = 1000/40 = 30 days.   25 daysnswer:25 days
Answer: A
In how many different number of ways 4 boys and 2 girls can sit on a bench?
Choose the correct choice from the following:
A) 720 B) 730 C) 740 D) 750 E) 800

Solution: npn = n!   6p6 = 6 × 5 × 4 × 3 × 2 × 1 = 720   720
Answer: A
What is the sum of the integers from -60 to 65, inclusive?	Choose the correct choice from the following choices:
A) 315
B) 215
C) 115
D) 165
E) 765

Solution: In an arithmetic progression,   the nth term is given by tn=a+(n-1)d   here tn=65, a=-60, d=1   hence, 65=-60+(n-1)   or n=126   Sum of n terms can be calculated by sn=n/2(a+l)   a=first term, l=last term, n=no. of terms   sn=126*(-60+65)/2   sn=126*5/2= 
126*5/2 = 315
315   315nswer : 315
Answer: A
The new swimming pool needs to be filled with water. If the swimming pool is 5m^3, and the speed to fill the swimming pool is 2.5 cm^3/sec (1m^3 = 10^6 cm^3), how long does it take to fill the entire swimming pool?  Pick:  A) 2*10^3  B) 2*10^4  C) 2*10^5  D) 2*10^6  E) 2*10^7

Solution: From 1 m^3 = 10^6 cm^3, 5m^3 = 5*10^6 cm^3, time = 5*10^6 cm^3 / 2.5cm ^3/sec = 2*10^6 seconds. Correct Option: 2*10^6 Answer: 2*10^6
Answer: D
A certain bag contains 60 balls — 22 white, 18 green, 17 yellow, 3 red, and 1 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?	Options:
A) 0.09
B) 0.15
C) 0.54
D) 0.85
E) 0.95

Solution: According to the stem the ball can be white, green or yellow, so the probability is (white + green + yellow)/(total) = (22 + 18 + 17)/60 = 57/60 = 0.95.   Answer: 0.95.
Answer: E
John invested a certain sum of money in a simple interest bond whose value grew to $300 at the end of 2 years and to $ 500 at the end of another 3 years. What was the rate of interest in which he invested his sum?	Choose the correct choice from the following answers:
A) 12% B) 40% C) 6.67% D) 25% E) 33%

Solution: Lets assume the Principal Amount (initial amount invested) to be P   rate of interest to beRand time as T. We need to find R   Now After a time of 2years the principal P amounts to $300 and after a time of 5years ( question says after another 3years so 2+3) P becomes $500.   Formulating the above data   Amount (A1) at end of 2years   A1= P(1 + 2R/100) = 300   Amount (A2) at end of 8years   A2 = P(1 + 5R/100) = 500   Dividing A2 by A1 we get   (1 + 5R/100)/(1 + 2R/100) = 5/3   after cross multiplication we are left with 5R =100*2 which gives R = 40%   Option: 40%
Answer: B
100 men started working to complete a work in 50 days.After working 8hours/day they had completed 1/3rd of the work in 25 days.How many men should be hired so that they will finish the work in time by working 10 hours/day.	Select.
A) 30 men  B) 60 men  C) 90 men  D) 100 men  E) 120 men

Solution: Working 8 hours/day, in 25 days, 100 men completes 8*25*100= 
8*25*100 = 20_000
20000 men hours which is 1/3 of the work, So remaining 2/3 work to be completed=20000*(2/3)/(1/3)= 
20000*(2/3)/(1/3) = 40_000
40000 men hours.   If with 'x' extra men hired ,remaining work is to be completed in  50-25= 
 50-25 = 25
25 days , working 10 hours/day, then, (100+x)*25*10=40000, 25000+250x=40000, x=60 men   ANSWER:60 men
Answer: B
What is the total number of integers between 10 and 100 (exclusive)that are divisible by 7?
Choose the correct choice
A) 10
B) 13
C) 15
D) 12
E) 11

Solution: 14, 21, 28, ..., 91,98   This is an equally spaced list; you can use the formula:   n = (largest - smallest) / ('space') + 1 = (98 - 14) / (7) + 1 = 12 + 1= 
12 + 1 = 13
13   Answer is 13
Answer: B
When a 192 meters long rod is cut down into small pieces of length 3.0 meters each. Then how many pieces are available ?	Choose the correct answer.
A) 52 B) 68 C) 62 D) 64 E) 69

Solution: Answer   No. of pieces = Total length / Length of each piece   = 192/3.0= 
192/3.0 = 64
64   Option: 64
Answer: D
If T = 5/9 * (K - 32), and if T = 75, then what is the value of K?  Choose the correct answer:
A) 158
B) 161
C) 164
D) 167
E) 170

Solution: K-32=9T/5   K=9T/5 + 32   K=9(75)/5 + 32 = 167   The answer is 167.
Answer: D
1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?  Choices:
A) 12.8
B) 12.4
C) 12.5
D) 16.8
E) 92.7

Solution: 1000*15   = 1200*x   x = 12.5   Answer: 12.5
Answer: C
320 students are to embark on an excursion. What is the smallest possible number of vans that are needed to transport all 320 students, if a van can carry 18 students only?  Choose the most appropriate option
A) 18
B) 17
C) 14
D) 12
E) 13

Solution: To find the number of vans, we divide 320 by 22.   320/18 = 17 and remainder = 14   So 17 vans are needed to transport 320 students, and 1 van is needed to transport the 14 remaining students . A total of 18 vans are needed.   correct answer 18
Answer: A
Income and expenditure of a person are in the ratio 7 : 6. If the income of the person is Rs. 14000, then find his savings? Choose the correct choice from the following choices: A) 500 B) 1000 C) 1500 D) 2000 E) 2500

Solution: Let the income and the expenditure of the person be Rs. 7x and Rs. 6x respectively.   Income, 7x = 14000   => x = 2000   Savings = Income - expenditure   = 7x - 6x = x   So, savings =Rs.2000.   Answer: 2000
Answer: D
The price of precious stone is directly proportional to square of its weight. what will be the loss incurred if a stone weighing 28gm and costing 28,000 breaks into two pieces whose weights are in the ratio 15:13?	Choose the correct choice from the following options:
A) No loss	B) 10,000	C) 28,000	D) 9,500	E) 14,000

Solution: x=28000/28^2=35.71   cost of 15g=35.71*15^2=8035.714   cost of 13g=35.71*13^2=6035.714   total cost=14071.428   loss=28000-14071.428=13928.5=14000   ANSW14,000R:14,000
Answer: E
How many times in a day, the hands of a clock are straight?  Pick:
A) 22	B) 34	C) 44	D) 54	E) 76

Solution: In 12 hours, the hands coincide or are in opposite direction 22 times.   In 24 hours, the hands coincide or are in opposite direction 44 times a day.   Answer:44
Answer: C
A train overtakes 2 girls who are walking inthe opposite direction in which the train is going at the rate of 3 km/hour & 6km/hour and passes them completely in 36sec & 30 sec respectively. Find the length of the train is?	Select the correct option
A) 130 m  B) 140 m  C) 150 m  D) 170 m  E) 190 m

Solution: Let the length of the train e x meter, and let the speed of train be y km/h, then   \inline x=\left ( y+3 \right )\frac{5}{18}\times 36 ........(1)   and \inline x=\left ( y+6\right )\frac{5}{18}\times 30 ........(2)   From eq (1) and (2), we get   \inline (y+3)\times 36 = ( y+6)\times 30   y = 12 km/h   \inline \therefore \inline x=(y+3)\times \frac{5}{18}\times 36   x= 150 m   150 m
Answer: C
Which of the following is the sum of all the even numbers between 1 and 95, inclusive?  Select the correct option
A) 2550  B) 2448  C) 2600  D) 2499  E) 2652

Solution: This question can be solved withbunching.   We're asked for the SUM of all of the EVEN integers from 1 to 95, so we really want the sum of 2, 4, 6, 8.....98.   If you take the next smallest and next biggest numbers, you have...   6+94= 
6+94 = 100
100   This pattern will continue on, so we're going to have a bunch of 100s, BUT we have to be careful to make sure that we don't miss a number if it'sin the middleand doesn't get paired up. Since we know that the sum of each pair is 100, we can 'jump ahead' to find the last few pairs...   44+56= 
44+56 = 100
100   46+54= 
46+54 = 100
100   48+52= 
48+52 = 100
100   There IS a middle number: 50; this number does NOT get paired up.   Since 48 is the 24th even integer, we know there are twenty-four 100s + one 50. 2400+50-2= 2448   Final Answer:   2448
Answer: B
In State X, all vehicle license plates have 1 letter from the 26 letters of the alphabet followed by 4 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?  Choose one
A) 23,400
B) 60,840
C) 67,600
D) 608,400
E) 260,000

Solution: The choices give us the answer without any calculations--   4 one digits places can take 10*10*10*10 ways..   1 letter places can be filled up in 26 ways   ans= 26*10*10*10*10= 
26*10*10*10*10 = 260_000
260000   ans 260,000
Answer: E
It takes ten minutes to fry a steak (five minutes for each side). You are frying the steaks in a pan that can accommodate only two steaks at one time. What is the least amount of time by which you can fry all the three steaks you have?
Answers.
A) 13 minutes  B) 14 minutes  C) 15 minutes  D) 16 minutes  E) 17 minutes

Solution: Solution:   Fifteen Minutes.   After frying for five minutes, you can take out one steak and put the third one inside while turning the other one inside. After five more minutes, one steak is fried from both sides and you can take it out. Now put in the steak that we removed and turn the other one inside. After five more minutes, they both will also be fried from both sides.   Answer 15 minutes
Answer: C
An exam consists of 8 true/false questions. Brian forgets to study, so he must guess blindly on each question. If any score above 60% is a passing grade, what is the probability that Brian passes?
Choose the correct choice
A) 1/16 B) 37/256 C) 1/2 D) 35/256 E) 15/16

Solution: If you have 8 T or F and Brian is going to guess then each question he has a 50% chance of getting correct.   If a passing score is 70% it means Brian needs to get 6/8=75%, 7/8=87.5%, or 8/8=100% to pass. Each is a possibility. If Brian gets a 5/8(=62.5%) or below he fails.   So first figure out the number of ways that Brian can get 6 out of 8, 7 out of 8, and 8 out of 8 questions correct.   Which is 8 choose 6, equals is 28, 8 choose 7, equals 8, and 8 choose 8, equals 1. This sums to 37.   The number of possible questions outcomes -the sum of 8 choose 8, 7 choose 8, 6 choose 8….2 choose 8, 1 choose 8, and 0 choose 8 is 256, so the chance of him passing is 35/256.   35/256
Answer: D
The ratio of numbers is 4:5 and their H.C.F is 4. Their L.C.M is:  Select.
A) 80 B) 16 C) 24 D) 48 E) 98

Solution: Let the numbers be 4x and 5x.   Then their H.C.F = x. So, x = 4.   So, the numbers are 16 and 20.   L.C.M of 16 and 20 = 80.   80NSWER:80
Answer: A
If the wheel is 21 cm then the number of revolutions to cover a distance of 1056 cm is?	Choose the correct choice from the following answers.
A) 8 B) 27 C) 10 D) 7 E) 19

Solution: 2 * 22/7 * 21 * x = 1056   => x = 8   8nswer: 8
Answer: A
A fruit seller had some oranges. He sells 40% oranges and still has 300 oranges. How many oranges he had originally?  Choose the correct choice from the following options:
A) 700
B) 710
C) 720
D) 500
E) 740

Solution: 60% of oranges = 300   100% of oranges =(300×100)/6=500   total oranges = 500   ANSWER : 500
Answer: D
A rectangular surface have length 15m and breadth 8m.calculate its area and diagonal.  Options
A) 120,18
B) 120,17
C) 115,17
D) 115,18
E) 120,18

Solution: area=length*breadth=15*8= 
15*8 = 120
120 sq.m   Diagonal=√(15)^2+(8)^2=√289=17 m   Answer 120,17
Answer: B
Three unbiased coins are tossed. What is the probability of getting at least 2 tails?	Choose the most appropriate option:
A) 0.75
B) 0.5
C) 0.25
D) 0.2
E) 0.3

Solution: EXPLANATION:   S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}   E = {HTT, THT, TTH, TTT}   n(S) = 8   n(E) = 4   P(E) =n(E) / n(S) = 4/8= 
4/8 = 1/2 = around 0.5
0.5   ANSWER IS 0.5
Answer: B
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
Pick.
A) 20
B) 30
C) 50
D) 10
E) 40

Solution: There is a meal for 200 children. 150 children have taken the meal.   Remaining meal is to be catered to 50 children.   Now, 200 children 120 men.   50 children (120/200)	* 50 = 30 men   Answer is 30. (120/200) * 50= 
 (120/200) * 50 = 30
30 men   Answer is 30.
Answer: B
Find the value of y from (12)^3 x 6^4 ÷ 432 = y? Answers.
A) 3484  B) 3467  C) 3567  D) 4567  E) 5184

Solution: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184   432 12 x 62   5184
Answer: E
If 4 (A's capital) = 6 (B's capital) = 8 (C's capital). Then the ratio of their capitals is?  Select.
A) 6:4:5	B) 6:4:3	C) 6:4:2	D) 6:2:3	E) 6:5:3

Solution: 4A = 66:4:3 = 8 C   A:6:4:3:C = 1/4:1/6:1/8   = 6:4:3   Answer: 6:4:3
Answer: B
An bus covers a certain distance at aspeed of 150 kmph in 5 hours. To cover the same distance in 1hr, it must travel at a speed of?	Choose the correct choice from the following options.
A) 560 km/h	B) 450 km/h	C) 779 km/h	D) 723 km/h	E) 720 km/h

Solution: Distance = (150 x 5) = 750 km.   Speed = Distance/Time   Speed = 750/(5/3) km/hr. [We can write 1 hours as 5/3 hours]   Required speed = 750 x 3/5 km/hr = 450 km/hr.   450 km/h
Answer: B
Prizes totaling $45,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize?	Choose the correct choice from the following options:
A) (a) $5,000	B) (b) $10,000	C) (c) $17,000	D) (d) $55,000	E) (e) $65,000

Solution: The highest prize cannot possibly be less than 1/3rd of 45,000 (because in this case the sum of 3 prizes would be less than 45,000) and cannot be more than 45,000.   Answer: (c) $17,000.
Answer: C