MU-NLPC/Calc-aqua_rat huggingface dataset:
A shopkeeper sells an article for Rs. 200 with a loss of Rs. 20 %. Find the cost price of the article.  Answers
A) 220
B) 250
C) 280
D) 260
E) 275

Solution: Explanation:   Hint:   Cost Price =	100/(100-Loss%)*S.P.   We are given that,   S.P. = Rs. 200 and loss = 20   Cost Price =	100/(100-20)*200   Cost Price =	100/80*200   Cost Price = Rs. 250   ANSWER IS 250
Answer: B
A city had 300 migrants in the year 2000. Since then, The number of migrants in a countrythe city has doubled every 3 years. If there were 300 migrants in the country in the year 2000, What was the increase in the population of migrants during the period from 2009 to 2012?	Choose the correct choice from the following answers
A) 1200
B) 2400
C) 4800
D) 6800
E) 8400

Solution: The population will increase in the following order:   2000: 300   2003: 600   2006: 1200   2009: 2400   2012: 4800   Difference between 2009 and 2012 = 2400   Option 2400
Answer: B
To save money, Arkadelphia Cream Cheese will reduce each dimension of its rectangular box container (which is entirely full of cream cheese) by 20%, and reduce the price it charges its consumers by 20% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for cream cheese?	Choose the correct choice from the following answers.
A) 1. No change
B) 2. 56.25%
C) 3. 100%
D) 4. 300%
E) 5. 400%

Solution: Let,   L = 20: 2. 56.25% = 10: H= 10 of initial box and Price = 50$   Therefore Price / cubic inch = 50 / (20*10*10)= 
50 / (20*10*10) = 1/40 = around 0.025
0.025   Now, when dimensions are reduced by 50% and price also reduced by 50%   L= 16; 2. 56.25%=8; H=8 and Price = 40$   Therefore price / cubic inch = 40 / (16*8*8) =0.039   Percentage change = (0.039 - 0.025) *100/ 0.025 = 56.25%   Answer is 2. 56.25%
Answer: B
If n=3*4*p where p is a prime number greater than 3,how many different positive non-prime divisors does n have, excluding 1 and n?
Choose one:
A) Six	B) Seven	C) Eight	D) Nine	E) Ten

Solution: n=3∗2^2∗p   Number of divisors = 2 * 3 * 2= 
2 * 3 * 2 = 12
12   The 12 divisors includes 1, n, 3, 2 and p   Number of different non prime divisors excluding 1 and n= 12 - 5= 
12 - 5 = 7
7   Answer: Seven
Answer: B
The least number which should be added to 1789 so that the sum is exactly divisible by 5, 6, 4 and 3 is?	Choose the correct choice from the following answers.
A) 1
B) 11
C) 21
D) 31
E) 41

Solution: L.C.M. of 5, 6, 4 and 3 = 60.   On dividing 1789 by 60, the remainder is 49.   Number to be added = (60 - 49)= 
(60 - 49) = 11
11   11)
Answer: B
16 boys or 24 girls can construct the wall in 6 days. the number of days that 16 boys and 12 girls Will take to construct?	Choose the correct choice:
A) 7 days
B) 4 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   16 boys + 12 girls = 16 Ã— 6/4 + 12 = 24+ 12= 
24+ 12 = 36
36 girls   4 days to complete the work   Answer: Option 4 days
Answer: B
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 25 years and that for 40 years?
Pick
A) 5:8  B) 7:5  C) 3:8  D) Data inadequate  E) None of these

Solution: Let the principal be P and rate of interest be R%.   ∴ Required Ratio = [(P×R×25/100) /(P×R×40/100)]=25PR/40PR=25/40=5:8   5:8nswer 5:8
Answer: A
Shipment --- No. of Defective Chips/shipment --- Total Chips in shipment
S1 ---------------------- 2 ------------------------------------------ 5,000
S2 ---------------------- 4 ------------------- ---------------------- 12,000
S3 ---------------------- 2 ------------------------------------------ 15,000
S4 ---------------------- 4 ------------------------------------------ 16,000
A computer chip manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal the corresponding ratio for shipments S1, S2, S3, and S4 combined, as shown in the table above. What’s the expected number of defective chips in a shipment of 60,000 chips?	Choose the correct choice from the following answers:
A) 14  B) 20  C) 22  D) 24  E) 15

Solution: for a total of 51000 chips (adding S1,S2,S3,S4) total number of defective chips is 17 ((adding defective chips of S1,S2,S3,S4) so ratio is 12/48000 or 1 every 4000 chips.   Keeping this ratio constant for 60000 chips number of defective chips will be   (1/4000) * 60000= 
  (1/4000) * 60000 = 15
15   15
Answer: E
A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 11.00 a.m. ?
Answers
A) 15	B) 12	C) 10	D) 12	E) 8

Solution: A   15   Relative speed = 2 + 3= 
2 + 3 = 5
5 rounds per hour.   So, they cross each other 5 times in an hour and 2 times in half an hour.   Hence, they cross each other 15 times before 11.00 a.m.
Answer: A
A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person? Choose one.
A) 18 years
B) 12 years
C) 5 years
D) 9 years
E) 21 years

Solution: Answer: Option A   Let the present age of the person be x years.   Then, 3(x + 3) - 3(x - 3) = x   3x + 9 - 3x + 9 = x => x = 18
Answer: A
A construction company wants to number new houses using digit plates only. If the company puts an order for 912 plates, how many houses are to be given numbers? (The numbers of houses are consecutive and the number of the first house is 1). Choose the correct choice from the following options
A) 320	B) 350	C) 340	D) 360	E) 400

Solution: You know that the answer is going to be three digits, and it's easy to figure out how many 1 and 2 digit numbers (9 and 90), so the real question is how many 3 digit number are there?   99+(912-9-90*2)/3= 
99+(912-9-90*2)/3 = 340
340   Answer : 340
Answer: C
The compound interest on $ 30,000 at 7% p.a is $. 4347.Find out the period (in years) ?  Select the correct option:  A) 1  B) 1.5  C) 2  D) 2.5  E) 3

Solution: Amount = 30,000 + 4347   = 34347 ......... Now by using compound interest formula we get, 30,000 * (107/100)^n = 34347 ====> n = 2 years Ans - 2
Answer: C
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 50 hrs and a machine of type S does the same job in 20 hours. If the company used the same number of each type of machine to do the job in 5 hours, how many machines of type R were used?
Pick.
A) 18/7  B) 16/7  C) 15/7  D) 22/7  E) 20/7

Solution: Rate of machine R =1/50   Rate of machine S =1/20   since same no of machines used for R and S to do the same work in 5 hrs   So collective rate needed to finish the work in 5 hrs= 1/5   Let the no of machine be x   So, x/50 +x/20 =1/5   (2x+5x)/100=1/5   7x=20   x=20/7   So no of machine R is 20/7   Answer 20/7
Answer: E
In 2 Kg mixture of copper and aluminium, 30% is copper. How much aluminium powder should be added to the mixture so that the proportion of copper becomes 20%
Options:
A) 800 gm B) 600 gm C) 1200 gm D) 900 gm E) 1000 gm

Solution: Mixture = 2 kg = 2000g.   Copper = 30% of 2000 = 600g.   To make copper 20% of mixture, we should need to mix 1000g of Aluminum.   As,   2000 + 1000= 
2000 + 1000 = 3_000
3000g mixture.   And 20% of 3000= 600g.   ANSWER : 600 gm
Answer: B
In an election between two candidates, 75% of the voters cast thierthier votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.  Choose the correct choice from the following: A) 15000 B) 15500 C) 16800 D) 17500 E) 18000

Solution: Let the number of votes enrolled be x. Then ,   Number of votes cast =75% of x. Valid votes = 98% of (75% of x).   75% of (98% of (75%of x)) =9261.   [(75/100)*(98/100)*(75/100)*x] =9261.   X = [(9261*100*100*100)/(75*98*75)= 
(9261*100*100*100)/(75*98*75) = 16_800
16800.   ANSWER 16800
Answer: C
For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the even integers between 1 and 100?  Choose the correct choice from the following answers:
A) 1250	B) 1530	C) 2120	D) 2540	E) 2550

Solution: Average of the set: (largest+smallest)/2=(100+2)/2= 
(100+2)/2 = 51
51;   # of terms: (largest-smallest)/2+1=(100-2)/2+1= 
(100-2)/2+1 = 50
50   The sum= 51*50= 
51*50 = 2_550
2550   Answer: 2550
Answer: E
How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest? Choices.
A) 3.5 years	B) 4years	C) 4.5years	D) 5years	E) None of these

Solution: Explanation:   Time = (100 x 81)/(450 x 4.5) years   = 4 years.   Answer: 4years
Answer: B
A certain company expects quarterly earnings of $0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. If earnings are greater than expected , shareholders will receive an additional $0.04 per share for each additional $0.10 of per share earnings. If quarterly earnings are $1.10 per share, what will be the dividend paid to a person who owns 500 shares of the company's stock?
Choose the correct choice from the following answers:  A) $260  B) $96  C) $26  D) $120  E) $240

Solution: EPS Actual> EPS expected.   each gets and additional .12 per share.   Thus .52*500 --> $260   answer is $260
Answer: A
If the radius of a circle is decreased by 50%, find the percentage decrease in its area.	Choose the correct choice from the following options:  A) 25 %  B) 50 %  C) 75 %  D) 95 %  E) None of them

Solution: Let original radius = R. New radius =(50/100) R = (R/2)   Original area=22/7( R )2= and new area=  ((R/2))2= ( ( R )2)/4   Decrease in area =((3(22/7) (R )2 )/4 X (1/(22/7)( R)2) X 100) % = 75%   Answer is 75 %.
Answer: C
I sold a book at a profit of 10%. Had I sold it for $90 more, 15% would have been gained. Find the cost price?	Choose the correct choice from the following answers:	A) $1800	B) $2500	C) $3000	D) $3120	E) $1540

Solution: 115% of cost - 110% of cost = $90   5% of cost = $90   cost = 90*100/5= 
90*100/5 = 1_800
$1800   $1800nswer is $1800
Answer: A
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Choose the correct choice from the following answers.
A) 12211	B) 22777	C) 29777	D) 14000	E) 21689

Solution: 25*12: 30*12: 35*8   15:18:14   14/47 * 47000= 
14/47 * 47000 = 14_000
14000   Answer:14000
Answer: D
Mr. Evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. If Mr. Evans has 2 children and 6 grandchildren, then approximately what percentage of Mr. Evans estate will each grandchild receive?	Choose one:  A) 20%  B) 17%  C) 5.5%  D) 3.3%  E) 2.8%

Solution: 33.33/6=5.5   Answer : 5.5%
Answer: C
Four circular cardboard pieces, each of radius 7cm are placed in such a way that each piece touches two other pieces. The area of the space encosed by the four pieces is
Four circular cardboard pieces, each of radius 7cm are placed in such a way that each piece touches two other pieces. The area of the space encosed by the four pieces is	Choose the correct choice
A) 3
B) 87
C) 42
D) 767
E) 27

Solution: Explanation:   required area = 14*14 - (4 * 1/4 * 22/7 * 7 *7) sq cm   = 196 - 154= 
196 - 154 = 42
42 sq cm.   Answer: 42) 42
Answer: C
If 23 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then in how many points do they intersect?  Choose the correct option:
A) 176	B) 253	C) 342	D) 458	E) 560

Solution: If two lines are not parallel, then they will intersect in exactly one point. Lines can be extended infinitely on both ends so somewhere they will intersect with each other if they are not parallel. We are also given that no three lines are concurrent. This means that no three lines intersect at the same point. So every pair of two lines we select will have a unique point of intersection which they will not share with any third line.   The number of ways to select 2 lines from 23 lines is 23C2 = 253   The answer is 253.
Answer: B
Farmer Charlie has a chicken farm. On a certain day, Charlie calculates in how many days he will run out of chicken-food. He notices that if he would sell 75 of his chickens, he could feed the remaining chickens twenty days longer with the chicken-food he has, and that if he would buy 100 extra chickens, he would run out of chicken-food fifteen days earlier.
One chicken lays two eggs in three days. How many eggs do three chickens lay in nine days?
Choose the correct choice from the following choices: A) 11 B) 17 C) 18 D) 20 E) 23

Solution: C   18   1 chicken lays 2 eggs in 3 days, so 3 chickens lay 3×2=6 eggs in 3 days. In 9 days, these 3 chickens lay 3 times as much eggs as in 3 days. 18onclusion: three chickens lay 3×6=18 eggs in nine days.
Answer: C
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:	Choose the correct choice from the following.
A) 1hour
B) 2hour
C) 3hour
D) 4hour
E) 5hour

Solution: Let the duration of the flight be x hours   Then 600/x - 600/x (1/2) = 200   = 600/x - 1200/2x+1 =200   =x(2x+1) =3   (2 +1)= 
(2 +1) = 3
3=2xsquare + x -3 = 0   =(2x+3)(x-1) = 0   = x= 1 hr ( neglecting the -ve value of x)   1hournswer: Option 1hour
Answer: A
Two numbers are in the ratio 3 : 4. If their L.C.M. is 72. what is sum of the numbers?
Choose the correct choice from the following answers.
A) 42
B) 56
C) 76
D) 84
E) 85

Solution: Explanation:   Let the numbers be 3x and 4x   LCM of 3x and 4x = 12x (Since LCM of 3 and 4 is 12. Hence LCM of 3x and 4x is 12x)   Given that LCM of 3x and 4x is 72   => 12x = 72   => x = 72/12= 
72/12 = 6
6   Sum of the numbers= 3x + 4x   = 7x   3  + 4= 
3  + 4 = 7
7x= 7 x 6 = 42   42nswer: Option 42
Answer: A
Youseff lives x blocks from his office. It takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work. It is takes him exactly 14 minutes more to walk to work than to ride his bike to work, then x equals?  Choose the correct choice from the following answers.
A) 4  B) 7  C) 10  D) 15  E) 21

Solution: Please follow posting guidelines, link is in my signatures.   As for your question, x/60 = blocks/time/block = block^2/time . This is not what you want. You are given x blocks and 60 seconds PER BLOCK. Thus you need to put it as 60*x to give you units of seconds as you are equating this to 840(which is TIME in seconds.).   Thus the correct equation is : 60*x-20*x=840 ----> 40x=840-> x = 21.   option 21
Answer: E
In how many E ways can the wordGMATbe arranged so that no such arrangement has A as the first letter? Choose the correct choice from the following options:  A) 6  B) 12  C) 18  D) 24  E) 30

Solution: Number of ways of arranging the word GMAT = 4! = 24   Number of ways of arranging the word GMAT so that A is always in the first = 3! = 6   Number of ways of arranging GMAT so that A is not in the beginning E= 24 - 6= 
24 - 6 = 18
18   Answer: 18
Answer: C
A, B, K start from the same place and travel in the same direction at speeds of 30km/hr, 40km/hr, 60km/hr respectively. B starts seven hours after A. If B and K overtake A at the same instant, how many hours after A did K start?	Choose the correct choice from the following choices:
A) 3
B) 4.5
C) 4
D) d) 5.5
E) e) 14

Solution: The table you made doesn't make sense to me. All three meet at the same point means the distance they cover is the same.   We know their rates are 30, 40 and 60.   Say the time taken by B is T hrs. Then A takes 7+T hrs. And we need to find the time taken by K.   Distance covered by A = Distance covered by B   30*(7+T) = 40*T   T = 21 hrs   Distance covered by B = Distance covered by K   40*T = 60*Time taken by K   Time taken by K = 40*21/60= 
40*21/60 = 14
14 hrs   Time taken by A= 7+T = 7+21= 
7+21 = 28
28 hrs   Time taken by K= 14 hrs   So K starts  28-14= 
 28-14 = 14
14 hrs after A. (ANSWe) 14R e) 14)
Answer: E
The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?	Select the correct option
A) 6 2/3% B) 6 2/8% C) 7 2/3% D) 6 5/3% E) 4 2/3%

Solution: 4/9 P = (P*R*R)/100   R = 20/3 = 6 2/3%   6 2/3%nswer:6 2/3%
Answer: A
If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?  Choose the correct answer:
A) 338 B) 277 C) 585 D) 676 E) 181

Solution: 90 = (450*4*R)/100   R = 5%   I = (450*6*5)/100= 
(450*6*5)/100 = 135
135   450 + 135= 
450 + 135 = 585
585   Answer:585
Answer: C
In an exam, Amar scored 49 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?  Choose the most appropriate option
A) 344 B) 826 C) 207 D) 269 E) 208

Solution: 344verage mark scored by all the three boys =   [49/100 (800) + 36/100 (800) + 44/100 (800)] / 3   = 344   344nswer: 344
Answer: A
X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?	Choose the correct answer.
A) 3:1	B) 2:1	C) 2:5	D) 2:3	E) 6:1

Solution: Ratio in which they should share the profit   = Ratio of the investments multiplied by the time period   = 45000 * 12: 30000 * 9   = 45 * 12: 30 * 9   = 3*12: 2 * 9   = 2:1   Answer is 2:1
Answer: B
With both inlets open, a water tank will be filled with water in 36 minutes. The first inlet alone would fill the tank in 2 hours. If in every minutes the second inlet admits 50 cubic meters of water than the first, what is the capacity of the tank ?  Choose the correct choice from the following options:	A) 9,000	B) 4,500	C) 1,750	D) 1,000	E) 2,000

Solution: The work Done by Inlet A and B together in 1 min = 1/36   The work Done by Inlet A (First Inlet) in 1 min = 1/120   The work Done by Inlet B (Second Inlet) in 1 min = (1/36)- (1/120) =1/51   DIfference of Work done by B and A = B - A = 50 Cubic meter   i.e. (1/51)- (1/120) = 50 Cubic meter   i.e.4500 Cubic Meter   Answer: option 4,500
Answer: B
What is the greatest of 3 consecutive integers whose sum is 27 ? Choose the correct choice from the following.
A) 6 B) 7 C) 8 D) 9 E) 11

Solution: The sum of three consecutive integers can be written as n + (n + 1) + (n + 2) = 3n + 3   If the sum is 24, we need to solve the equation 3n + 3 + (  + 1) + (  + 2)= 
+ (  + 1) + (  + 2) = 3
3n + 3   If the sum is 24, we need to solve the equation 3n + 3= 27;   => 3n = 27;   => n = 9   The greatest of the three numbers is therefore   9 + 2= 
  9 + 2 = 11
11 Answer: 11
Answer: E
The difference between the simple and the compound interest compounded every six months at the rate of 10% p.a. at the end of two years is 124.05. What is the sum? Options:	A) 10,000	B) 6,000	C) 12,000	D) 8,000	E) None of these

Solution: Let the sum be x.   Then, [x(1+5/100)4−x]−[x×10×2/100]=124.05   Solving the above eqns, we get x = 8,000.   Answer 8,000
Answer: D
Maria sold 10kg of apples in her first hour at the market, but only 2kg of apples in the second hour. On average, how many kg of apples did she sell in two hours at the market?  Choose the correct choice from the following options:  A) 6 kg  B) 5 kg  C) 12 kg  D) 24 kg  E) 20 kg

Solution: (10 kg + 2kg)/2 = 6 kg   Correct answer is: 6 kg
Answer: A
If 3 cards are selected at random from the deck of 52 cards then What is the probability of one of the selected cards will be King, one of them will be Queen and one of them will be Jack?
A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit  Choose the correct choice from the following choices:	A) 96/5525	B) 48/5525	C) 16/5525	D) 8/16575	E) 1/2197

Solution: Let K,Q and J represent King, Queen and Jack respectively.   One possible combination is KQJ and this can be arranged in 3! ways.   Probability of KQJ = (4/52)*(4/51)*(4/50)   Total probability = 3! * (4/52)*(4/51)*(4/50) . No need for final calculation. Reduce this to simpler form and you only have 1 option with 16 in the numerator. 16/5525 is the correct answer.
Answer: C
Tough and Tricky questions: Combinations.
Nine students - 4 boys and 5 girls - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another?
Select:
A) 12 B) 36 C) 72 D) 240 E) 5760

Solution: 4!*5!*2 = 24*120*2= 
24*120*2 = 5_760
5760 ways.   Ans. 5760) 5760
Answer: E
The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 Km/hr. At what time will they meet?  Answers.
A) 10.30 a.m
B) 11 a.m
C) 10 a.m
D) 12 noon
E) None of these

Solution: Explanation:   Assume that they meet x hours after 8 a.m.   Then,train1,starting from A , travelling towards B, travels x hours till the trains meet   ⇒Distance travelled by train1 in x hours = Speed ×Time = 60x   Then, train2, starting from B , travelling towards A, travels (x-1) hours till the trains meet   ⇒Distance travelled by train2 in (x-1) hours = Speed ×Time = 75(x-1)   Total distance travelled = Distance travelled by train1 + Distance travelled by train2   => 330 = 60x + 75(x-1)   => 12x + 15(x-1) = 66   => 12x + 15x - 15 = 66   => 27x = 66 + 15= 
66 + 15 = 81
81=> 3x = 9   => x = 3   Hence the trains meet 3 hours after 8 a.m., i.e. at 11 a.m.   Answer: Option 11 a.m
Answer: B
If there are 9 horizontal lines and 9 vertical lines in a chess board, how many rectangles can be formed in the chess board? Answers:
A) 1136
B) 1268
C) 1244
D) 1296
E) 1308

Solution: Here m = 9, n = 9   Hence, number of rectangles that can be formed   = mC2 × nC2   = 9C2 × 9C2 = (9C2)^2   = 36^2   =1296   Ans-1296
Answer: D
Jessica can text 125 words per minute, while Maurice can text 10 words per minute. An abridged English translation of Tolstoy’s War and Peace contains 410,400 words. Working together, how many days will it take Jessica and Maurice to text the entire abridged translation of War and Peace? Choose the correct answer.
A) 0.3
B) 2.1
C) 3
D) 9
E) 11.3

Solution: Since the answer choices are reasonably spaced out, we can approximate and save time   Combined words per day = 135*60*24 which should be 194400   410400/194400 will be 2.1,   So, Answer should be 2.1.
Answer: B
A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 18 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix? Select the correct option:
A) 1/10
B) 3/10
C) 1/2
D) 7/25
E) 9/10

Solution: C+M+B-CM-MB-CB-2CMB = 100   C - cake buyers, M - muffin and B - Bread buyers. CM,MB,CB and CMB are intersecting regions.   the question asks for people who have bought only bread mixes = B-CB-MB-2CMB has to be found out.   50 + 40 + B-CB-MB-18-2CMB = 100   B-CB-MB-2CMB = 28   hence the probability = 28/100 = 7/25.   7/25
Answer: D
The cash difference between the selling prices of an article at a profit of 6% and 8% is Rs 3. The ratio of two selling prices is
Choose the correct choice from the following
A) 51:52	B) 52:53	C) 53:54	D) 54:55	E) None of these

Solution: Explanation:   Let the Cost price of article is Rs. x   Required ratio = (106% of x) / (108% of x)   =106/108   =53/54 = 53:54.   Answer: 53:54
Answer: C
In how many years will a sum of money doubles itself at 5% per annum on simple interest?
Choose the correct choice from the following:
A) 22	B) 20	C) 99	D) 88	E) 76

Solution: P = (P*5*R)/100   R = 20%   Answer: 20
Answer: B