MU-NLPC/Calc-aqua_rat huggingface dataset:
What day of the week was 31st July, 1993?	Choose the correct choice from the following choices.
A) Monday B) Sunday C) Saturday D) Tuesday E) Friday

Solution: SOLUTION :   31st July, 1993 = (1992 years + period from 1st January, 1993 to 31st July, 1993)   1600 years have 0 odd days and 300 years have 1 odd day.   Now, the period from 1900 to 1992 have 69 ordinary years and 23 leap years   = (69*1 + 23*2)= 
(69*1 + 23*2) = 115
115 odd days= (16 weeks + 3 days) = 3 odd days.   January	February	March	April	May	June	July   31 28 31 30 31 30 31   = 212 days = (30 weeks + 2 days) = 2 odd days   Therefore, total number of odd days = 1 + 3 + 2= 
1 + 3 + 2 = 6
6 odd days.   Therefore, the required day was Saturday.   ANSWER IS Saturday
Answer: C
12KM is how many miles?
Choose the correct option.
A) 6 Miles  B) 7Miles  C) 7.5Miles  D) 8Miles  E) 9miles

Solution: 7.5 Miles   12/1.6= 
12/1.6 = 7.5
7.5   Answer:7.5Miles
Answer: C
A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?	Choose the most appropriate option: A) 286 m B) 150 m C) 177 m D) 287 m E) 267 m

Solution: Let the length of the train be x m and its speed be y m/sec.   Then, x/y = 15 => y = x/15   (x + 100)/25 = x/15 => x = 150 m.   Answer: 150 m
Answer: B
In what time will a train 100 m long cross an electric pole, it its speed be 90 km/hr?	Choose the correct choice from the following answers:
A) 2.5 sec  B) 2.9 sec  C) 3.5 sec  D) 4 sec  E) 2.4 sec

Solution: Speed = 90 * 5/18= 
90 * 5/18 = 25
25 m/sec   Time taken= 100/25= 
100/25 = 4
4 sec.   Answer: 4 sec
Answer: D
A work as fast as B. If B can complete a work in 20days independently,the number of days in which A and B can together finish the work in?  Choose the correct choice from the following:  A) 20/3days  B) 10/3days  C) 15days  D) 10days  E) 20days

Solution: Ratio of rates of working of 20/3days and B = 2:1   ratio of times taken = 1:2   20/3days's 1day work = 1/10   B's 1day work = 1/20   20/3days+B 1day work = 1/10 + 1/20  +  1= 
 +  1 = 1
1/10 + 1/20= 3/20 =3/20   20/3days and B can finish the work in 20/3days   20/3daysnswer is 20/3days
Answer: A
A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length E of the fence including the fence posts on each end?	Choose the correct choice from the following choices:  A) mn  B) m(n + x)  C) E=m(n + x) + x  D) m(n + x) + 2x  E) 2mn

Solution: Notice that since a fence post separates each length of fence, then there will be m+1 posts, for example if there are m=2 fences, then there will be 3 posts: PFPFP. Thus the total length of the posts is (m+1)x.   The total length of the fence is mn, therefore the total length of the fence including the fence posts on each end is (m+1)x+mn=mx+x+mn=m(n+x)+x.   Answer: E=m(n + x) + x.
Answer: C
Sum of Rs.36.90 is created by 180 coins which are possibly 10 paise coins or 25 paise coins. The count of 10 paise coins are	Choose the correct choice from the following.
A) 54  B) 55  C) 56  D) 57  E) 58

Solution: Explanation :   -> Total count of coins = 180   If “a” is count of 10paise coins and “b” be count of 25paise coins   A + b = 180 —Eqn (i)   -> Given 10 paise coins and 25 paise coins create the addition = Rs. 36.90   [ (10a/100) + (25b/100) ]= 36.90   => 10a + 25b = 3690 ———(ii)   -> Solving (i) and (ii)   a10 => 10 a + 10b = 1800 (-)   => 10a + 25b = 3690   - 15b = -1890   B = 1890 / 15= 
1890 / 15 = 126
126   Substitute b value in eqn (i) , 54= 180 – 126 = 54   Therefore Count of 10 paise coins = 54   54nswer : 54
Answer: A
The length, the breadth and the height of a rectangular solid are in the ratio 1:2:3. If the length, breadth and height are increased by 100%, 200% and 200% respectively , then the increase in the volume of the rectangular solid is	Choose the correct choice from the following:
A) 5 times B) 6 times C) 12 times D) 17 times E) 20 times

Solution: Here, we're told that the dimensions of a rectangular solid (re: cuboid) - the length, width and height - are in the ratio of 1:2:3.   Let's TEST VALUES and say that...   Length = 1   Width = 2   Height = 3   Next, we're told that the length, width and height are increased 100%, 200% and 200% respectively. Thus, they would now be..   Length = 1+1= 
1+1 = 2
2   Width= 2 + 2(2) = 6   Height 3 + 2(3) = 9   We're asked for the increase in the VOLUME of the shape (and the answers hint that we should use the Percentage Change Formula).   Initial Volume = (L)(W)(H) = (1)(2)(3) = 6   New Volume = (L)(W)(H) = (2)(6)(9) = 108   Percentage Change = (New-Old)/Old = (108-6)/6 = 102/6= 
102/6 = 17
17   Thus, the new volume is 17 times greater than the old volume.   17 times
Answer: D
Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 is
Pick:
A) 18
B) 22
C) 42
D) 43
E) 45

Solution: Explanation:   Numbers from 1 to 60, which are divisible by 6 are : 6,12,18, 24, 30, 36,42, 48, 54, 60.   There are 10 such numbers.   Numbers from 1 to 60, the sum of whose digits is 6 are : 6, 15, 24, 33, 42, 51, 60.   There are 7 such numbers of which 4 are common to the above ones. So, there are 3such uncommon numbers.   Numbers from 1 to 60, which have 6 as one of the digits are 6, 16, 26, 36, 46, 56, 60.   Clearly, there are 4 such uncommon numbers.   So, numbers 'not connected with 6' = 60 - (10 + 3 + 4)= 
60 - (10 + 3 + 4) = 43
43.   Answer: 43
Answer: D
Three people (1 couple and 1 single) are seated at random in a row of 9 chairs. What is the probability that the couple does not sit together?	Options
A) 3/4
B) 4/7
C) 5/8
D) 5/9
E) 7/9

Solution: The total number of arrangements of 3 people is   9*8*7= 
  9*8*7 = 504
504   Let's think of the couple as a single unit.   The number of arrangements when the couple sits together is 8*7*2= 
8*7*2 = 112
112.   Note that we multiply by 2 because the couple can switch places with each other.   The number of ways the couple won't sit together is  504 - 112= 
 504 - 112 = 392
392   P(couple won't sit together)= 392/504 = 7/9   The answer is 7/9.
Answer: E
The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is:
Choose the correct choice.
A) 18 years. B) 11 years. C) 21 years. D) 36 years. E) 58 years.

Solution: Age of the 15th student=   [15 * 15 - (14 * 5 + 16 * 9)] = (225 - 214)= 
(225 - 214) = 11
11 years.   Answer: 11 years.
Answer: B
Of the 150 employees at company X, 80 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?
.  Choose the correct choice:
A) 20	B) 30	C) 50	D) 80	E) 100

Solution: 150 employees   80 are full-time   100 have worked at company X for at least a year   20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year.   How many full-time employees of company X have worked at the company for at least a year?   150-80= 
150-80 = 70
70 employees not full time   70-20= 
70-20 = 50
50 employees not full time who worked over a year   100 employees have worked at company X for at least a year-50 employees not full time who worked over a year= 50 full-time employees of company X have worked at the company for at least a year   ANSWER:50
Answer: C
The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Options
A) 75 B) 72 C) 30 D) 80 E) 50

Solution: Explanation:   speed= Distance/ Time   S = (90 + 60)/2= 
(90 + 60)/2 = 75
75 kmph   75nswer: 75
Answer: A
The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 25% alcohol, is?
Answers.
A) 3
B) 4
C) 5
D) 6
E) 9

Solution: 4.5 4.5   25% 75%   25% ----- 4.5   75% ------? => 13.5 - 4.5= 
13.5 - 4.5 = 9
9 ml   ANSW9R:9
Answer: E
Ana is 5 years more than Jack. The sum of their ages is 29. Find the ages of Jack.
Select the correct option.
A) 10 B) 11 C) 12 D) 13 E) 14

Solution: Let Jack's age = x   And Ana's age, y = x+5---->(1)   Sum of their ages, x+y = 29----->(2)   substitute equation 1 in 2,   x+(x+5)=29   2x+5=29   2x=29-5   2x=24 ==>x=12(Jack's age)   ANSWER:12
Answer: C
If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is?
Choose the correct option:	A) 100π	B) 7π	C) 60π	D) 50π	E) 70π

Solution: 4/3 π * 10 * 10 * 10 = 8 * 4/3 πr3   r = 5   4π * 5 * 5 = 100π   100πNSWER:100π4  * 5 * 5= 
4  * 5 * 5 = 100
100π   100πNSWER:100π
Answer: A
Find the odd man out. 7,13,19,25,29,37,43  Options.
A) 19	B) 29	C) 25	D) 43	E) 53

Solution: Explanation :   All given numbers except 25 are prime numbers. Answer : Option 25
Answer: C
The radius of a wheel is 22.5 cm. What is the distance covered by the wheel in making 500 resolutions?	Choices:	A) 708 m	B) 707.14 m	C) 774 m	D) 714 m	E) 744 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.   = 500 * 2 * 22/7 * 22.5 = 70714 cm   = 707.14 m   Answer:707.14 m
Answer: B
Solution A is 20% ammonia and Solution B is 80% ammonia. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% ammonia solution?  Choose the correct choice from the following options.
A) 6:4  B) 6:14  C) 4:4  D) 4:6  E) 3:7

Solution: Forget the volumes for the time being.   You have to mix 20% and 80% solutions to get 50%. This is very straight forward since 50 is int he middle of 20 and 80 so we need both solutions in equal quantities. If this doesn't strike, use   w1/w2 = (A2 - Aavg)/(Aavg - A1)   w1/w2 = (80 - 50)/(50 - 20)= 
(80 - 50)/(50 - 20) = 1
1/1   So the volume of the two solutions will be equal. Answer has to be 4:4=4:4
Answer: C
10 distinct integers are arranged in ascending order. The range of the first 7 is 25 and that of last 7 is 30. What is the maximum range W of the 10 numbers?  Pick one.
A) 25	B) 27	C) 30	D) 52	E) 55

Solution: Positions: 1 2 3 4 5 6 7 8 9 10   Given: 1st position = x; 4th position = a; 7th position = y; 10th position = b   y - x = 25   Let x be 0 and y = 25. We are asked to maximize the range and the integers are distinct.   b - a = 30 --> b = 30 + a   In order to increase the range, we have to maximize the value of 'b'.   'b' can be maximized by taking the max value of 'a'.   From the assumed values, maximum value of 'a' can be 22.   Therefore, b = 30 + 22= 
30 + 22 = 52
52   Range W= 52 - 0= 
52 - 0 = 52
52   Answer: 52
Answer: D
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 4 years the amount to be paid is?	Choose one:
A) 8118  B) 8127  C) 8618  D) 8774  E) 8128

Solution: A = 7500(26/25)4   = 8774   Answer: 8774
Answer: D
If the annual rate of simple interest increases from 10% to 12 1/2 %, a man's yearly income increases by Rs. 1250. His principal in Rs. is?
Choose one
A) 10000 B) 30000 C) 50000 D) 60000 E) 20000

Solution: Let the sum be Rs. x. Then,   (x * 25/2 * 1/100) - (x * 10 * 1)/100 = 1250   25x - 20x = 250000   x = 50000   Option 50000
Answer: C
The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. If there are 75 black cars in the lot, how many red cars are there in the lot?	Choose the correct choice
A) 11  B) 28  C) 24  D) 29  E) 32

Solution: 28 is correct   R/28 = 3/8 and 28 =75   R = 75*3/8 = 28
Answer: B
Mr. Donald has $900 in ten, twenty, fifty and one hundred dollar bills. He has an equal number of each denomination of bill. How many total bills does Mr. Donald have?  Choose the correct answer
A) 10 B) 20 C) 30 D) 40 E) 50

Solution: Let the number of each type of bill = bThen 10b + 20b + 50b + 100b = 900180b = 900b = 5So: The total number of bills that Mr. Donald has = 4b = 20Answer: 20
Answer: B
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent? Choices:
A) 42 6/9%	B) 42 5/7%	C) 42 6/8%	D) 42 6/7%	E) 43 6/7%

Solution: SP = CP + g   50 SP = 50 CP + 15 SP   35 SP = 50 CP   35 --- 15 CP gain   100 --- ? => 42 6/7%   Answer: 42 6/7%
Answer: D
Find the next term in the given series -
47, 94, 71, 142, 119, 238, . ?
Choose the correct choice:
A) 331 B) 360 C) 320 D) 340 E) 215

Solution: 47+47= 
47+47 = 94
94 & 94-23= 
94-23 = 71
71   71+71= 
71+71 = 142
142 & 142-23= 
142-23 = 119
119   119+119= 
119+119 = 238
238, So  238-23= 
 238-23 = 215
215   ANSW215R:215
Answer: E
Let a,b,c and d be the result of rounding off 7382.196 to the nearest thousand, hundred, ten and one, respectively. Which of the following statements is true?
Pick one
A) d<c<b<a
B) d<c<a<b
C) a<d<c<b
D) c<d<b<a
E) a<c<d<b

Solution: Soln:   7382.196..   Nearest thousand 7000..a   Nearest hundred 7400..b   Nearest ten 7380..c   Nearest one 7382...D   a<c<c<b   ANSWa<c<d<bR:a<c<d<b
Answer: E
How many pairs (w, w+1) have one or more prime factors common, where w is an integer and 2 ≤ w ≤9 ?  Choose the correct choice from the following options:	A) 0	B) 1	C) 2	D) 3	E) 4

Solution: w and w+1 are consecutive integers.   Two consecutive integers are co-prime, which means that they don't share ANY common factor but 1. For example 20 and 21 are consecutive integers, thus only common factor they share is 1.   0nswer: 0.
Answer: A
How many odd numbers between 10 and 1,200 are the squares of integers?  Answers:  A) 12  B) 13  C) 14  D) 15  E) 16

Solution: The square of an odd number is an odd number:   10 < odd < 1,000   10 < odd^2 < 1,000   3.something < odd < 31.something (by taking the square root).   So, that odd number could be any odd number from 5 to 31, inclusive: 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, and 31.   16 numbers.   Answer: 16.
Answer: E
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?	Choose the correct choice.
A) 1000 B) 2777 C) 2688 D) 2772 E) 2991

Solution: 1120 = P [1 + (5*12/5)/100]   P= 1000   1000nswer: 1000
Answer: A
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each? Choose the correct choice from the following answers.
A) Rs.4528	B) Rs.4520	C) Rs.4527	D) Rs.4530	E) Rs.4521

Solution: Area of the four walls = 2h(l + b)   Since there are doors and windows, area of the walls   = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3)   = 906 sq.ft.   Total cost = 906 * 5   = Rs.4530   Answer:Rs.4530
Answer: D
If m, n, and o are three different positive integers whose sum is prime, which of the following statements could be true?	Select the correct option:
A) Each of m + n, m + o, and n + o is prime.
B) Each of m + 3, n + 3, and o + 3 is prime.
C) Each of m, n, and o is prime.
D) The average (arithmetic mean) of m, n, and o is prime.
E) m + n = o

Solution: the question asks could be!!!!   this means that if at least one option works, it is the answer.   3, 7, 19 satisfies the condition, since 29 is a prime number. Since the question asks for a could be - we know automatically that Each of m, n, and o is prime. is the answer.
Answer: C
A basketball is dropped from a height of 30 feet. If it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 2 full bounces.  Choose the correct choice from the following: A) 50 B) 55 C) 60 D) 75 E) 80

Solution: Initial distance = 30 feet   first bounce = 15 feet up + 15 feet down = 30 feet   second bouche = 7.5 feet up + 7.5 feet down = 15 feet   total distance covered = 30+30+15= 
30+30+15 = 75
75   Answer : 75
Answer: D
The difference between a number and its two fifth is 510. What is 10% of that number?  Select the correct option.
A) 12.75 B) 50 C) 85 D) 204 E) None

Solution: Solution   Let the number be x.   Then, x - 2 / 5 x = 510.   ‹=›3 / 5 x = 510   ‹=›x = [510 x 5 / 3] = 850.   Therefore 10% of 850 = 85.   Answer 85
Answer: C
A and B can complete a job in 30 and 20 days respectively. They start working together and B leaves 5 days before the work is finished. In how many days is the total work finished?
Choose the correct choice from the following:	A) 20 days	B) 30 days	C) 12 days	D) 14 days	E) 15 days

Solution: explanation:   A and B can do the job in 30 and 20 days individually, so together they will take 30*20/(30 + 20) = 600/50= 
600/50 = 12
12 days.   The work that A can do in 5 days is 1/6th. So, A left when 5/6th of the work was done or A left after  (5/6)*12= 
 (5/6)*12 = 10
10 days   Total time taken= 10 + 5= 
10 + 5 = 15
15 days.   Answer 15 days
Answer: E
Four of the following five are alike in a certain way and so form a group. which one does not belong to that group?  Choose the correct choice from the following
A) Tooth B) Chin C) Nose D) Eye E) Hand

Solution: All others have two vowels each   Answer :Chin
Answer: B
The average score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42, what is the average for the last four matches?	Choose the most appropriate option:
A) 34.25	B) 36.4	C) 40.2	D) 32.25	E) 32

Solution: Explanation:   Total runs scored in 10 matches = 10 × 38.9   Total runs scored in first 6 matches = 6 × 42   Total runs scored in the last 4 matches = 10 × 38.9 - 6 × 42   34.25verage of the runs scored in the last 4 matches = 10×38.9−6×42/4   =389−252/4=137/4= 
137/4 = 137/4 = around 34.25
34.25   34.25nswer: Option 34.25
Answer: A
A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $11.00?  Choose the correct choice from the following choices
A) 40	B) 60	C) 90	D) 132	E) 240

Solution: Cost price of 1 pound of bananas = 0.5/3 = 1/6   Selling price of 1 pound of bananas = 1/4   Profit per pound = (1/4 - 1/6) = (1/12)   Total profit is given as 11   (1/12)*x = 11   x = 132   Answer: 132
Answer: D
Pipe A can fill a tank in 6 hours, pipe B in 4 hours, and pipe C in 12 hours. If all the pipes are open, in how many hours will the tank be filled?
Answers
A) 1.5
B) 2
C) 2.5
D) 3
E) 3.5

Solution: The part filled by A + B + C in 1 hour   = 1/6 + 1/4 + 1/12   = 12/24 = 1/2   All the three pipes together will fill the tank in 2 hours.   The answer is 2.
Answer: B
We have 7770 balls available, and there is 1 ball on d top of rack and then 3 balls on d 1st floor behind the top rack (horizontal rack) and then 6 balls on 2nd floor then 10 balls on 3rd floor,
How many floors can be accomdated with the given no of balls...???  Select
A) 36  B) 35  C) 34  D) 33  E) 32

Solution: 1+3+6+10+........=7770 sum of triangular number   n*(n+1)*(n+2)/6 gives 35   ANSWER:35
Answer: B
A is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in - days if they work together.	Choices:	A) 18 days	B) 22 ½ days	C) 24 days	D) 26 days	E) 28 days

Solution: Explanation :   If A completes a work in 1 day, 22 ½ days completes the same work in 3 days   Hence, if the difference is 2 days, 22 ½ days can complete the work in 3 days   => if the difference is 60 days, 22 ½ days can complete the work in 90 days   => Amount of work 22 ½ days can do in 1 day= 1/90   Amount of work A can do in 1 day = 3 × (1/90) = 1/30   Amount of work A and 22 ½ days can together do in 1 day = 1/90 + 1/30 = 4/90 = 2/45   => A and 22 ½ days together can do the work in 45/2 days = 22 ½ days   ANSWER IS 22 ½ days
Answer: B
A group of men decided to do a work in 12days, but 6 of them became absent. If the rest of the group did the work in 14days, Find the original number of men?  Pick one:
A) 15	B) 42	C) 44	D) 45	E) 18

Solution: Original number of men = 6*14 / (14-12)= 
6*14 / (14-12) = 42
42   Answer is 42
Answer: B
Two numbers are in the ratio 5:8 and thier H.C.F is 4. Find the numbers.  Select the correct option.
A) 25 and 40 B) 20 and 32 C) 30 and 48 D) 15 and 24 E) 16 and 25

Solution: Explanation:   Let two numbers 5x, 8x their H.C.F = 4   Therefore H.C.F is 4   i.e, x in this case.   Therefore The numbers are 5 x 4 = 20   8 x 4 = 32   Answer: Option 20 and 32
Answer: B
Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number
Choose the correct choice from the following
A) 5
B) 15
C) 7.5
D) 4
E) 16

Solution: Explanation:   Let the number be x.   7x -15 = 2x + 10 => 5x = 25 => x = 5   5nswer: Option 5
Answer: A
By selling 18 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?  Choices:	A) 8	B) 9	C) 7	D) 12	E) 4

Solution: 80% --- 18   120% --- ?     80/120 * 18= 
  80/120 * 18 = 12
12   Answer: 12
Answer: D
A machine puts c caps on bottles in m minutes. How many Q hours will it take to put caps on b bottles?	Choose the correct choice from the following answers.
A) 60bm/c	B) Q=bm/60c	C) bc/60m	D) 60b/cm	E) b/60cm

Solution: The machine puts c caps in m minutes or c caps in m/60 hours.   Rate = c/m/60 = 60c/m.   To put b caps the machine will take:-   Time = Work/Rate   T = b/60c/m = bm/60c   Answer is Q=bm/60c.
Answer: B
Of the students at a certain high school, 100 percent took a course in algebra or geometry and 20 percent took courses in both. If the percent of students who took a course in algebra was 2 times the percent of students who took a course in geometry, what percent of the students took a course in algebra but not geometry?	Choose one:
A) 50%	B) 60%	C) 45%	D) 40%	E) 35%

Solution: You can also just use the formula   n(A or B) = n(A) + n(B) - n(A and B)   100 = 2X + X - 20   X = 40   2X = 80   This is the number of people who took algebra including those who took both. To get the number of people who took only algebra, 80 - 20 = 60%   Answer (60%)
Answer: B
The radius of a semi circle is 3.1 cm then its perimeter is?	Choose the correct option.
A) 15.94 B) 12.41 C) 16.1 D) 32.92 E) 32.3

Solution: 36/7 r = 6.3 = 15.94   15.94nswer:15.94
Answer: A
I chose a number and divide it by 6. Then I subtracted 189 from the result and got 3. What was the number I chose?
Select
A) 1200	B) 1152	C) 1189	D) 1190	E) 100

Solution: Let x be the number I chose, then   x/6−189=3   x/6=192   x=1152   Answer is 1152.
Answer: B
In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 69 hats in this group, how many of these hats are not blue?	Answers:	A) 28	B) 42	C) 48	D) 64	E) 76

Solution: B:G:P = 7:4:12 --> total of 23 parts.   Not blue = (G + P)/(total)*92 = 16/23*69= 
16/23*69 = 48
48.   Answer: 48.
Answer: C
Find the compound interest on Rs. 25000 in 2 years at 4% per annum. The interest being compounded half yearly.
Choose the correct choice from the following answers:
A) Rs 2060.808
B) Rs 2060.801
C) Rs 2060.804
D) Rs 2060.802
E) Rs 2060.805

Solution: Explanation:   Given:   Principal = Rs. 25000, Rate = 4 % per half year, Time = 2 years = 4 half years   Therefore,   Amount = P( 1 + (R/2)/100)2n   Amount = Rs. [25000*(1+ 2/100)4] = Rs. (25000 * 51/50*51/50*51/50* 51/50)   = Rs. 27060.804   Therefore,   C.I. = Rs. ( 27060.804 – 25000)   = Rs 2060.804   ANSWER: Rs 2060.804
Answer: C
Choose the missing terms out of the given alternatives.
BXJ, ETL, HPN, KLP, ?	Choose the correct choice from the following answers:
A) MHQ  B) MIP  C) NIR  D) NHR  E) HEW

Solution: NHR   NHR   The first, second and third letters move three steps forward, four steps backward and two steps forward respectively.
Answer: D