MU-NLPC/Calc-aqua_rat huggingface dataset:
The true discount on a bill due 9 months hence at 16% per annum is Rs. 180. The amount of the bill is	Choose the correct choice from the following answers:
A) 1200	B) 1764	C) 1680	D) 1354	E) None of these

Solution: Explanation:   Let P.W. be Rs.x.   Then, S.I. on Rs. x at 16% for 9 months = Rs. 180.   x Ã— 16 Ã— (9/12) Ã— (1/100) = 180 or x = 1500.   P.W. = Rs. 1500.   Sum due = P.W. + T.D. = Rs.(1500   180) = Rs. 1680.   Answer: 1680
Answer: C
On a certain date, Pat invested $5,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 12 years will be $20,000, in how many years, the total value of the investment plus interest will increase to $30,000?  Pick one.
A) 15
B) 16
C) 18
D) 20
E) 24

Solution: if i were to choose during the test, would go for 18 or 20. probably 18 cuz it wont take too long to get the value doubled....   I found a method: Rule of 72.   Given an x% return, it takes 5,000 to quadralope 12 years.   So according to the rule: 72/x is the no of years 5,000.00 took to double 10,000.00.   Again, 10,000.00 took to double 20,000.00 same (72/x) no of years.   72/x+ 72/x = 12   x = 12% (though rate here is not very much required).   Again, 20,000.00 takes the same (72/x) no of years to double 30,000.00.   72/x = 6 years.   So altogather:   5,000 - 10,000 = 6 years   10,000 - 20,000 = 6 years   20,000 - 30,000 = 3 years   15nswer 15 15 years.
Answer: A
Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 9/10, what is the probability that Taylor makes exactly one basket in three tries?	Choose the correct choice from the following
A) 3^5/10^3  B) 3^4/10^3  C) 3^3/10^3  D) 3^2/10^3  E) 3^4/10^4

Solution: Probability of basket = 1/10   Probability of no basket = 9/10   Required probability= 3* (1*9*9/1000)   = 3^5/10^3   3^5/10^3 is the answer
Answer: A
there is a equilateral triangle whose area is A.another triangle is formed by joining the mid points.this process is continued.find the sum of these areas.  Choose the correct choice from the following.
A) A/3  B) 2A/3  C) A  D) 4A/3  E) 5A/3

Solution: Area of equilateral triangle =(root(3)/4)*a^2=A(given)   side of triangle=a   now side is a/2   then total area A+A/4 +A/16-------   A/1-(1/4)=A*4/3 is total area   ANSWER:4A/3
Answer: D
If 2x + y = 7 and x + 2y = 5, then (2x + 2y)/3 =  Pick:
A) 3
B) 4/3
C) 17/5
D) 18/5
E) 4

Solution: 2*(x+2y = 5) equals 2x+4y=10   2x+4y=10   - 2x + y= 7   = 3y=3   Therefore Y = 1   Plug and solve...   2x + 1 = 7   2x=6   x=3   (2*3+2*1)/3= (6+3)/3   =9/3= 
9/3 = 3
3   3
Answer: A
A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?  Options:
A) 5
B) 8
C) 9
D) 10
E) 11

Solution: Solution   Let the number be x.	Then, 3(2x+9) = 75   ‹=› 2x+9 = 25   ‹=›2x = 16   Answer 8
Answer: B
The no. of gift pack bought by Dexter is 1 more than the price, in rupees, of each gift pack. The amount of Rs.380 which Dexter had, fell short of the required amount. What is the amountby which he might have fallen short.	Pick
A) 30
B) 40
C) 50
D) 60
E) 80

Solution: Let the price of gift pack be 'aa'   Then number of packs bought =a+1=a+1   Hence total cost is a(a+1)a(a+1)   It is given that 380<a(a+1)380<a(a+1)   If a=19a=19, the total cost =19×20=380=19×20=380   Dexter would not have fallen short, If:   a=20a=20, a(a+1)=420a(a+1)=420   So he would have fallen short by Rs 40.   This is the minimum amount by which he may have fallen short.   40)
Answer: B
The ratio of the volumes of two cubes is 512 : 729. What is the ratio of their total surface areas?  Select the correct option:
A) 1:22	B) 81:12	C) 41:46	D) 41:19	E) 84:12

Solution: Ratio of the sides = ³√512 : ³√729   = 8 : 9   Ratio of surface areas = 82:92   = 41:46   Answer: 41:46
Answer: C
A coin is tossed until sequence HTH appears (H denotes the fall of heads, T denotes the fall of tails). What is the probability P that the game will end after the fourth throw?
Choose the correct choice from the following choices:	A) 1/16	B) 3/32	C) 1/8	D) 3/16	E) 1/4

Solution: Another approach:   Two likely scenarios would be : HHTH or THTH   for each of the scenarios probability would be 1/16   So Probablilty P is 1/16 + 1/16 = 1/8.1/8
Answer: C
The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages (in years)	Select the correct option:
A) 12, 14, 18	B) 14, 20, 36	C) 16, 12, 14	D) 16, 28, 36	E) None

Solution: Sol.   Let thier present ages be 4x, 7x and 9x years respectively.   Then, (4x - 8) + (7x - 8) + (9x - 8) = 56 ⇔ 20x = 80 ⇔ x = 4.   ∴ Their present ages are 16 years, 28 years and 36 years respectively.   Answer 16, 28, 36
Answer: D
Set X consists of 10 integers and has median of 10 and a range of 10. What is the value of the greatest possible integer that can be present in the set?	Choose the correct choice from the following options:
A) 32
B) 37
C) C.40
D) 20
E) 50

Solution: Note that both median and range do not restrict too many numbers in the set. Range is only concerned with the smallest and greatest. Median only cares about the middle.   Quick check of each option starting from the largest:   (E) 50   Range of 20 means the smallest integer will be 30. So 20 cannot lie in between and hence cannot be the median.   (D) 43   Range of 20 means the smallest integer will be 23. So 20 cannot lie in between and hence cannot be the median.   (C) 40   Range of 20 means the smallest integer will be 20. 20 can lie in between such as:   20, 20, 20, 20, 20, 20, 20, 20, 20, 20   This is possible. Hence it is the greatest such number.   Answer (20)
Answer: D
At a Halloween party, 2/5 of the people were dressed as vampires, 1/3 were dressed as ghosts; everyone else at the party, were equally dressed as Pirates, Robin Hood, Fairies, and Princesses. If all of the Fairies leave the party, and the people who just arrived to the party are all dressed as ghosts, doubling the number of ghosts at the party, what proportion of the people at the party are vampires? Choose the correct choice from the following answers
A) 6/19
B) 5/18
C) 5/26
D) 1/2
E) 3/7

Solution: Vampires = 2/5 = 6/15   Ghosts = 1/3 = 5/15   Pirates + Robin Hoods + Fairies + Princesses = 1 - (5/15 + 6/15) = 4/15, so each = 1/15   If Ghosts doubled (2)(5) = 10, and now Fairies = 0; then, total = 6 + 10 + 1 + 1 + 1 + 0= 
6 + 10 + 1 + 1 + 1 + 0 = 19
19. 6 are Vampires=> proportion = 6/19.   6/19nswer: 6/19
Answer: A
When n is divided by 18, the remainder is 6. When n is divided by 11, the quotient is equal to Z, and the remainder is equal to 6. Z must be divisible by which of the following numbers?
Choices
A) 16  B) 17  C) 18  D) 19  E) 20

Solution: N = 18 q + 6   N = 11 z + 6   Equating   18 Q + 6 = 11z+6   11z=18q   11z/18 = q   since q is an integer Z must be divisible by 18.   Hence 18
Answer: C
Tlaudia can choose any two of four different candles and any 8 of 9 different flowers for a centerpiece arrangement. Given these choices, how many candle + flower groupings can she select?
Choose the most appropriate option
A) 54  B) 72  C) 96  D) 144  E) 432

Solution: Tlaudia can choose any two of four different candles and any 8 of 9 different flowers for a centerpiece arrangement. 2 candles from 4 candles: 4C2: 6   8 flowers from 9 flowers: 9C8 : 9   So total grouping     9*6= 
  9*6 = 54
54.   54nswer is 54.
Answer: A
In a class, 6 students can speak Tamil, 15 can speak Gujarati and 6 can speak H. If two students can speak two languages and one student can speak all the three languages, then how many students are there in the class?  Select the correct option.
A) 20  B) 21  C) 22  D) 23  E) 24

Solution: T = 6   G = 15   H = 6   students can speak two languages (suppose Tamil & Gujarati) = 2   student can speak all the three languages = 1   student can speak only Tamil language = 6-2-1= 
6-2-1 = 3
3   student can speak only Gujarati language= 15-2-1= 
15-2-1 = 12
12   student can speak only H language= 6-1= 
6-1 = 5
5   So, Total number of student= 2+1+3+12+5= 
2+1+3+12+5 = 23
23   ANSWER:23
Answer: D
Divide 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is:
Pick one
A) 759	B) 792	C) 818	D) 828	E) None of these

Solution: Let the parts be x, y and [2379 – (x + y)].   x + (x × 2 × 5⁄100) = y + (y × 3 × 5⁄100)   = z + (z × 4 × 5⁄100)   ⇒ 11x⁄10 = 23y⁄20 = 6z⁄5 = k ⇒ x = 10k⁄11, y = 20k⁄23, z = 5k⁄6   But x + y + z = 2379.   ⇒ 10k⁄11 + 20k⁄23 + 5k⁄6 = 2379   ⇒ 1380 k + 1320 k + 1256 k = 2379 × 11 × 23 × 6   ⇒ k = 2379×11×23×6/3965=3×11×23×6/5   ∴ x = (10/11×3×11×23×6/5)=828   Hence, the first part is 828.   Answer 828
Answer: D
Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?  Select the correct option:
A) 5
B) 9
C) 11
D) 13
E) 15

Solution: Explanation:   x + y = 15   2x – 3y = 5   x = 10 y = 5   5)
Answer: A
How many three digits numbers greater than 600 can be formed by using the digits 4,5,6,7,8?	Pick one
A) 45. B) 55. C) 65. D) 85. E) 75.

Solution: Clearly repetition of digits allowed. Since the three digits number greater than 600 will have 6,7 or 8 at hundreds place. So hundreds place can be filled in 3 ways. Each of ten's and one's place can be filled in 5 ways. Hence, total number of required number =3x5x5 =75. Answer : 75.
Answer: E
What is the greatest of 3 consecutive integers whose sum is 39?  Pick.
A) 14  B) 15  C) 16  D) 17  E) 18

Solution: 39 / 3= 
39 / 3 = 13
13   The three numbers are 12, 13, and 14.   The answer is 14.
Answer: A
Ann and Bob drive separately to a meeting. Ann's average driving speed is greater than Bob's avergae driving speed by one-third of Bob's average driving speed, and Ann drives twice as many miles as Bob. What is the ratio E of the number of hours Ann spends driving to the meeting to the number of hours Bob spends driving to the meeting? Choose the correct choice from the following options:
A) 8:3	B) 3:2	C) 4:3	D) 2:3	E) 3:8

Solution: Say the rate of Bob is 3mph and he covers 6 miles then he needs 6/3= 
6/3 = 2
2 hours to do that.   Now, in this case the rate of Ann would be 3+3*1/3= 
3+3*1/3 = 4
4mph and the distance she covers would be   6*2= 
  6*2 = 12
12 miles, so she needs   12/4= 
  12/4 = 3
3 hours for that.   The ratio E of Ann's time to Bob's time is 3:2.   Answer: 3:2.
Answer: B
What is the area of a square field whose diagonal of length 22 m? Pick:
A) 288
B) 289
C) 242
D) 112
E) 178

Solution: d2/2 = (22 * 22)/2= 
(22 * 22)/2 = 242
242   Answer: 242
Answer: C
How many 5 letter words ( with or without meaning) can be formed using all the following 5 letters P,Q,R,S,and W so that letter P is to the left of letter R?	Choose the correct choice from the following
A) 70 B) 50 C) 60 D) 90 E) 100

Solution: Two positions can be selected out of 5 positions in 5C2 ways = 10 ways.   And the remaining 3 letters can be placed in 3 posions in 3! Ways = 6 ways.   So the final Answer = number of ways letters P and R can be arranged x number   of ways the other 3 letters can be arranged   Final Answer = 10 x 6 = 60 ways   60
Answer: C
In a group of ducks and cows, the total number of legs are 28 more than twice the no. of heads. Find the total no.of buffaloes.  Choose the correct option: A) 11 B) 12 C) 14 D) 16 E) 18

Solution: Let the number of buffaloes be x and the number of ducks be y   => 4x + 2y = 2 (x + y) + 28   => 2x = 28 => x = 14   14
Answer: C
Susan weighs m pounds more than Anna does, and together they weigh a total of n pounds. Which of the following represents Anna’s weight in pounds?
Choose the correct choice from the following answers
A) (n - m)/2 B) (n + m)/2 C) n/2 - m D) 2n − m E) n − 2m

Solution: Let (n - m)/2nna's weight = a   Susan's weight = a + m   Together their weight is 2a + m = n   2a = n-m   Hence a = #(n-m)/2#   (n - m)/2NSWER:(n - m)/2
Answer: A
The sum of three integers is 33. The largest integer is 3 times the middle integer, and the smallest integer is 23 less than the largest integer. What is the product of the three integers?
Choose the correct choice from the following choices:
A) 192 B) 203 C) 214 D) 225 E) 236

Solution: Let x be the middle integer. Then the largest is 3x and the smallest is 3x - 23.   3x - 23 + x + 3x = 33   x = 8   The three integers are 1, 8, and 24.   The product is 1*8*24= 
1*8*24 = 192
192   The answer is 192.
Answer: A
If a:b=1:2 and b:c=3:4 find a:b:c?
Choices:
A) 3:5:8
B) 3:6:8
C) 3:7:8
D) 3:6:4
E) 3:6:9

Solution: a:b = 1:2, b:c = 3:4   1:2   3:4   (a = 1 × 3 = 3, b = 2 × 3 = 6 and c = 2 × 4 = 8)   (a = a × b, b = b × b and c = b × c)   a:b:c = 3:6:8   3:6:8
Answer: B
By selling a watch for Rs.640/-, a man loses 20% what is that watch cost price?
Choose the correct choice from the following.
A) Rs. 600/-	B) Rs. 700/-	C) Rs. 800/-	D) Rs. 850/-	E) Rs. 900/-

Solution: 80 % ------> 640 (80 * 8 = 640)   100 % ------>800 (100 * 8 = 800)   Cost price = Rs. 800/-   Rs. 800/-)
Answer: C
A football coach must choose 3 freshers from a team of 12players. How many different ways can the coach choose the freshers?  Choose the correct choice from the following options
A) 220  B) 650  C) 729  D) 800  E) 890

Solution: Choose 3 starters from a team of 12 players. Order is not important.   \inline {\color{Black} 12C_{3}}= 220   220
Answer: A
In the first round of the elections, the only two candidates got exactly the same number of votes. During the second round, 24,000 votes switched from the first candidate to the second one. The total number of votes remained the same in both rounds, and no other votes switched sides. If, in the second round, the winning candidate got four times as many votes as the other candidate, how many people have voted in each round?	Choose the correct choice from the following:	A) 15,000	B) 25,000	C) 80,000	D) 50,000	E) 60,000

Solution: Let A be the first candidate and B be the second one.   Given x+24000 = 4(x-24000) => x = 40000   2x = 80000   IMO option 80,000.
Answer: C
Find the probability that a number selected from numbers 1, 2, 3,..., 40 is a prime number, when each of the given numbers is equally likely to be selected?	Choose the correct answer.
A) 10/40 B) 12/40 C) 8/40 D) 3/40 E) 7/40

Solution: Let X be the event of selecting a prime number.   X = {2, 3, 5, 7, 11, 13, 17, 19,23,29,31,37}   n(X) = 12,   n(S) = 40   Hence, the required probability is 12/40.   ANSWER:12/40
Answer: B
If logX = (logY)/2 = (logZ)/5, then X4.Y3.Z-2 =?
Choose the most appropriate option.
A) 2
B) 10
C) 1
D) 0
E) 3

Solution: (log X)/1 = (logY)/2 = (logZ)/5 = K   => logX = K, log Y = 2k, log Z = 5K   Thus, log(X4.Y3.Z-2) = 4logX +3logY - 2logZ = 0.   => X4.Y3.Z-2 = 1.   ANSWER:1
Answer: C
In the quiet town ofNothintodothere are 850 inhabitants, 400 are unemployed and 300 are somnambulists. If half of the somnambulists are unemployed, how many are employed and are not somnambulists?	Pick:
A) 50.  B) 100.  C) 150.  D) 200.  E) 300.

Solution: Total = 850   unemployed=400   employed=850-400= 
850-400 = 450
450   som=300   unemployed som = 300/2= 
300/2 = 150
150   employed som= 150   employed that are not som = 450-150= 
450-150 = 300
300   Answer : 300.
Answer: E
In how many ways can the letters of word TREATMENT be arranged such that all the vowels as well as all the Consonants always appear together?  Choose the correct choice from the following choices
A) 9!
B) 3!*6!*2!
C) 5!*5!
D) 5!*4!*2!
E) 6!*4!

Solution: Since all the vowels and consonants have to be together there can only be there are 3! way to order the vowels and 6! to order the consonants. But they must be together either vowels come first or consonants so you multiply by 2.   So 3!6!2! (3!*6!*2!)
Answer: B
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?	Choose the correct choice from the following answers:
A) 156  B) 144  C) 165  D) 182  E) 716

Solution: The word MEADOWS has 7 letters of which 3 are vowels.   -V-V-V-   As the vowels have to occupy even places, they can be arranged in the 3 even places in 3! i.e., 6 ways. While the consonants can be arranged among themselves in the remaining 4 places in 4! i.e., 24 ways.   Hence the total ways are  24 * 6= 
 24 * 6 = 144
144.   Answer: 144
Answer: B
If the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. What is the first quartile of the list of numbers 42, 24, 30, 22, 26, 27, 33 and 35 ? Choose the correct answer.
A) 33 B) 28 C) 27 D) 24 E) 25

Solution: It is given that a quartile is the middle number of all numbers less than median..   so lets arrange the number in ascending order- 42, 24, 30, 22, 26, 27, 33 and 35   22, 24, 26, 27, 30, 33, 35, 42,...   numbers less than median are 22, 24, 26, 27..   the median of these numbers = center of 24 and 26 = 25   25
Answer: E
While driving from A-ville to B-town, Harriet drove at a constant speed of 110 kilometers per hour. Upon arriving in B-town, Harriet immediately turned and drove back to A-ville at a constant speed of 140 kilometers per hour. If the entire trip took 5 hours, how many minutes did it take Harriet to drive from A-ville to B-town?	Choose the correct choice from the following:  A) 138  B) 148  C) 150  D) 162  E) 168

Solution: 5hr = 300min.   If harriet spend equal hrs on each leg she will spend 150min on each. Since speed A-B is less than speed B-A and distance on each leg is the same, time spent on A-B is more than 150min, which mean we can eliminate ans. A, B and C.   Now let plug in ans. D or E and verify which one give same distance on each leg.   E. t= 168min   * leg A-B ---> d = 110.168/60 = 18480/60   * leg B-A ----> d = 140*132/60 = 18480/60   so the correct ans. is168
Answer: E
In a class of 40 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
Choose the correct choice from the following options:
A) 3
B) 5
C) 8
D) 13
E) 15

Solution: Total # of students = 40   3vg # of books per student = 2   Total # of books = 40*2= 
40*2 = 80
80   # of student borrowed at least 3 books= 40-2-12-10= 
40-2-12-10 = 16
16   # of books borrowed by above 16 students= 80-(12*1)-(10*2)= 
80-(12*1)-(10*2) = 48
48   Considering that 15 out of above 16 students borrowed only 3 books, # of books borrowed= 15*3= 
15*3 = 45
45   So maximum # of books borrowed by any single student= 48-45= 
48-45 = 3
3   option 3
Answer: A
The some of present ages of father and son is 60.If 6 years ago fathers age was five times the sons age,then what will be sons age after six years??  Choose the most appropriate option
A) 15  B) 18  C) 20  D) 22  E) 24

Solution: Let f nd s be the present ages of father nd son   f + s = 60   f = 60 - s   (f-6) = 5(s-6)   f-6 = 5s - 30   f = 5s - 24   Equate "f"   60 - s = 5s - 24   6s = 84   s = 14   f = 60 - 14= 
60 - 14 = 46
46   Present age of son is 14   Age of son after 6 years= 14+6= 
14+6 = 20
20   ANSWER:20
Answer: C
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. Find out the age of the youngest child?	Choose the correct choice from the following answers:
A) 9  B) 8  C) 7  D) 6  E) 4

Solution: Let the age of the youngest child =x   Then, the ages of 5 children can be written as x,(x+3),(x+6),(x+9) and (x+12)   x+(x+3)+(x+6)+(x+9) +(x+12)=50   ⇒5x+30=50⇒5x=20⇒x=205=4   Answer is 4.
Answer: E
A number when divided by a divisor leaves a remainder of 30. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?	Pick one
A) 12 B) 13 C) 35 D) 43 E) 59

Solution: Let the number is N, the divisor = D,   I will make the two equations-   N = xD+30   2N = yD+11   where x and y are integers   Solving them: D(y-2x) = 43   as D is also integer and 43 is a prime number, the D should be 43 to satisfy the above equation.   Hence answer is '43'
Answer: D
Two employees X and Y are paid a total of Rs. 600 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? Select
A) s.200.72 B) s.250.72 C) s.272.72 D) s.300.72 E) s.310.72

Solution: Let the amount paid to X per week = x   and the amount paid to Y per week = y   Then x + y = 600   But x = 120% of y = 120y/100 = 12y/10   ∴12y/10 + y = 600   ⇒ y[12/10 + 1] = 600   ⇒ 22y/10 = 600   ⇒ 22y = 6000   ⇒ y = 6000/22 = Rs.272.72   s.272.72
Answer: C
A train covers a distance of 18 km in 3 min. If it takes 4 sec to pass a telegraph post, then the length of the train is?
Pick one:  A) 370  B) 380  C) 390  D) 400  E) 410

Solution: Speed = (18/3 * 60) km/hr = (360 * 5/18) m/sec = 100 m/sec.   Length of the train = 100 * 4= 
100 * 4 = 400
400 m.   Answer: Option 400
Answer: D
The average runs scored by a batsman in 15 matches is 30. In the next 20 matches the batsman scored an average of 15 runs. Find his average in all the 30 matches?  Pick.
A) 31.56
B) 25.65
C) 21.43
D) 28.36
E) 27.96

Solution: Total score of the batsman in 15 matches = 450.Total score of the batsman in the next 20 matches = 300.Total score of the batsman in the 35 matches = 750.Average score of the batsman = 750/35 = 21.43.Answer: 21.43
Answer: C
16 boys or 24 girls can construct the wall in 6 days. the number of days that 8 boys and 6 girls Will take to construct?	Choose the correct choice from the following answers
A) 7 days
B) 14 days
C) 6 days
D) 8 days
E) 9 days

Solution: Explanation:   16 boys =24 girls, 1 boy = 24/16 girls   1 boy = 6/4 girls   8 boys +6 girls = 8 Ã— 6/4 + 12 = 12 + 6= 
12 + 6 = 18
18 girls   8 days to complete the work   Answer: Option 8 days
Answer: D
In how many ways can a leap year have 53 Sundays?  Choose the correct choice from the following answers
A) 365C7	B) 7	C) 4	D) 5	E) 6

Solution: Explanation :   In a leap year there are 366 days i.e. 52 weeks + 2 extra days.   So, to have 53 Sundays one of these two days must be a Sunday.   This can occur in only 2 ways.   i.e. (Saturday and Sunday) or (Sunday and Monday).   Thus, the required number of ways is 2.   Answer : 5
Answer: D
If the tens digit of positive integers h, y are 6, how many values of the tens digit of 2(h+y) can be there? Choose the most appropriate option.
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: If the tens digit of positive integers h, y are 6, how many values of the tens digit of 2(h+y) can be there?   A. 2   B. 3   C. 4   D. 5   E. 6   -> If h=y=60, 2(h+y)=240 is derived. If h=y=69, 2(h+y)=276 is derived, which makes 4,5,6,7 possible for the tens digit. Therefore, the answer is 4.
Answer: C
By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at:
Select the correct option.
A) 96  B) 70  C) 75  D) 80  E) 100

Solution: To earn Rs. 135, investment = Rs. 1620.   To earn rs 8 investment = (1620/135*8)= 
(1620/135*8) = 96
96   Market value of rs 100 stock= rs 96   96NSWER 96
Answer: A
Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 1500 widgets?	Choose the correct option:
A) 2 hour and 20 minutes  B) 2 hour and 24 minutes  C) 2 hour and 30 minutes  D) 2 hour and 36 minutes  E) 2 hour and 40 minutes

Solution: (350+250)t=1500   600t=1500   t=5/2   t=2 hour and 30 minutes   Answer: 2 hour and 30 minutes
Answer: C
Pipe A can fill a tank in 4 hours, pipe B in 8 hours and pipe C in 8 hours. If all the pipes are open, in how many hours will the tank be filled?  Pick one: A) 2 B) 3 C) 4 D) 5 E) 6

Solution: Answer:	Part filled by A + B + C in 1 hour = 1/4 + 1/8 + 1/8= 1/2   All the three pipes together will fill the tank in 2 hours.   2nswer: 2
Answer: A
There are 10 female and 15 male in a work place. In how many ways can a person can be selected? Choose the correct option
A) 20	B) 15	C) 18	D) 40	E) 25

Solution: No of ways = 10+ 15= 
10+ 15 = 25
25   ANSW25R 25
Answer: E