MU-NLPC/Calc-aqua_rat huggingface dataset:
Of the people who responded to a market survey, 60 preferred Brand X and the rest preferred Brand Y. If the respondents indicated a preference for Brand X over Brand Y by ratio of 3 to 1, how many people responded to the survey?  Pick one:
A) 80  B) 150  C) 240  D) 360  E) 480

Solution: Ratio = 3:1 => 3x respondents preferred Brand X and x preferred Brand Y   Since, no. of respondents who preferred Brand X = 60 => 3x=60 => x=20   Hence Total no. of respondents = 60 + 20= 
60 + 20 = 80
80   Hence 80 is the answer.
Answer: A
A solution of 70 litres contains oil and water in the ratio 9:x. If six litres of water is added to the solution, the ratio becomes 6:4, find the value of x?  Choices:
A) 6
B) 8.5
C) 9
D) 6.5
E) 5

Solution: Exp. Total new quantity = original sol + water =70+6= 
70+6 = 76
76   New ratio= 6:4, New quantity of oil =6/10*76= 
6/10*76 = 228/5 = around 45.6
45.6 Lit,   New quantity of water= 4/10*76= 
4/10*76 = 152/5 = around 30.4
30.4 Lit   Water present initially= (30.4-6)= 
(30.4-6) = 24.4
24.4 Lit   Ratio= 45.6/24.4 =9/x There for x = 4.81 approx 5   Answer: 5
Answer: E
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 54 years now, the son's age 8 years back was?
Choose the correct choice from the following answers:
A) 12yr
B) 19yr
C) 14yr
D) 10yr
E) 20yr

Solution: Let the son's present age be x years   Then, 54-x = x   x = 27   Son's age 8 years back = 27-8= 
27-8 = 19
19years   Answer is 19yr
Answer: B
If in a kindergarten class, there are five children 3 feet 4 inches tall (indicated by notation 3'4"), two children 4'3" tall and thirteen children 2'8" tall, which of the following is the median height of the children?
Choose the correct choice from the following answers: A) 2'8" B) 2'6" C) 3'3" D) 3'4" E) 4'3

Solution: Total number of children in class = 20   so median must be between 10th and 11th child when they are arranged in ascending order.   When arranged in ascending order 5th and 6th child will have the height of 3'4"   so required median height = (2'8"+2'8")/2 = 2'6"   2'8"ns:Option 2'8"
Answer: A
Mother,her daughter and her grand child weighs 130 kg. daughter and her daughter(child) weighs 60 kg. child is 1/5th of her grand mother. What is the age of the daughter?  Options.
A) 46	B) 47	C) 48	D) 49	E) 50

Solution: mother + daughter + child = 130kg   daughter + child = 60kg   mother = 130 - 60= 
130 - 60 = 70
70kg   child= 1/5th of mother = (1/5)*70= 
(1/5)*70 = 14
14kg   So now daughter= 130 -(mother + child) = 130 - (70+14)= 
130 - (70+14) = 46
46kg   46NSWER:46
Answer: A
If 6 (A's capital) = 8 (B's capital) = 14 (C's capital). Then the ratio of their capitals is? Select the correct option:
A) 20:15:16
B) 20:15:68
C) 28:21:12
D) 28:15:11
E) 28:15:19

Solution: 6A = 8B = 14 28:21:12   A:B:28:21:12 = 1/6:1/8:1/14   = 28:21:12   Answer: 28:21:12
Answer: C
Company X sells a selection of products at various price points. Listed below are unit sales made for one particular day. How many unit sales on that day were greater than the mean sale price but less than the median sale price?
$50, $50, $97, $97, $97, $120, $125, $155, $199, $199, $239 Select
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: Taking the prices of products in ascending order(already arranged)   $50, $50, $97, $97, $97, $120, $125, $155, $199, $199, $239   we see that median value is the 6th value as there in total 11 values given   Arithmetic mean = total/number of entries = 1428/11 =129.8181   We are asked to find how many unit sales on that day were greater than the mean sale price but less than the median sale price   as we can clearly see that there is one value between $120 and $129.81, answer is 1 unit   Correct Answer - 1
Answer: B
What is the sum of all remainders obtained when the first 200 natural numbers are divided by 9?
Pick one:
A) 397  B) 401  C) 403  D) 405  E) 399

Solution: A positive integer can give only the following 9 remainders when divided by 9: 1, 2, 3, 4, 5, 6, 7, 8, and 0.   1 divided by 9 gives the remainder of 1;   2 divided by 9 gives the remainder of 2;   ...   8 divided by 9 gives the remainder of 8;   9 divided by 9 gives the remainder of 0.   We'll have 11 such blocks, since  99/9= 
 99/9 = 11
11. The last will be:   91 divided by 9 gives the remainder of 1;   92 divided by 9 gives the remainder of 2;   ...   98 divided by 9 gives the remainder of 8;   99 divided by 9 gives the remainder of 0.   The last number, 100, gives the remainder of 1 when divided by 9, thus the sum of all remainders will be:   11(1+2+3+4+5+6+7+8+0)+1=401.   Answer: 401.
Answer: B
40 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 6 like all. How many people like apple?	Answers
A) 47  B) 49  C) 54  D) 58  E) 62

Solution: orange+mango-apple=7   mango+apple-orange=10   apple=40   orange+mango+apple=6   40+10+6-7= 
40+10+6-7 = 49
49 like apple   ANSWER:49
Answer: B
If 20% of a number = 100, then 120% of that number will be? Choose the correct choice from the following.
A) 20	B) 120	C) 360	D) 600	E) 820

Solution: Let the number x. Then,   20% of x = 100   x = (100 * 100)/20= 
(100 * 100)/20 = 500
500   120% of x= (120/100 * 500)= 
(120/100 * 500) = 600
600.   ANSWER:600
Answer: D
A bag contains 5 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is Select.
A) 8/15 B) 2/5 C) 3/5 D) 11/15 E) 19/39

Solution: Drawing two balls of same color from five green balls can be done in 5C₂ ways.   Similarly from eight white balls two can be drawn in ⁸C₂ ways.   P = 5C₂/¹⁵C₂ + ⁸C₂/¹⁵C₂ = 19/39   ANSW19/39R:19/39
Answer: E
FOG + FOG + FOG + FOG = 1448.
If F,O and G are digits in a three-digit number in the preceding equation the F + O + G = ? Choose the correct choice from the following options:
A) 11  B) 12  C) 13  D) 14  E) 15

Solution: given,FOG + FOG + FOG + FOG = 1448   4(FOG)=1448   =>FOG=362   Face value of F is:3   Face value of O is:6   Face value of G is:2   so F+O+G=3+6+2= 
3+6+2 = 11
11   11NSWER:11
Answer: A
what will be the unit value of 0!*1!*6!-5!?
Choose the correct option.
A) 4
B) 3
C) 0
D) 1
E) 2

Solution: 1*1*5!*6-5!   5!(6-1)   5!*5   4!*5*5   it will be 0 because 5*4 with 0 at unit place so with any no. you multiply who have 0 unit place the product also have 0 at unit place.   answer 0
Answer: C
Find the area of a parallelogram with base 12 cm and height 18 cm.
Pick one:
A) 200  B) 216  C) 345  D) 244  E) 242

Solution: Area of a parallelogram = base * height = 12 * 18= 
12 * 18 = 216
216 cm2   Answer: Option 216
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 184 hats in this group, how many of these hats are not blue?	Choose the correct option.
A) 28  B) 42  C) 48  D) 128  E) 76

Solution: Since the hats Blue, Green and Purple are in ratio of 7:4:12...The total no. of balls will be   7x+4x+12x=184 or 23x=184...here 7x,4x and 12x represent hats of each type   23x=184 so x=8...Blue hats =7*8=56...Not blue will be   184-56= 
  184-56 = 128
128.   Ans 128
Answer: D
Find the L.C.M of 32,84,126
Choose the correct choice:	A) 2000	B) 2018	C) 5032	D) 1008	E) 2016

Solution: 32=2^5 84=2^2*3*7 126=2*3^2*7   L.C.M=2^5*3^2*7=2016   Answer=(2016)
Answer: E
A hostel had provisions for 250 men for 40 days. If 50 men left the hostel, how long will the food last at the same rate?
Select.
A) 48 days
B) 50 days
C) 45 days
D) 60 days
E) None of these

Solution: Explanation :   A hostel had provisions for 250 men for 40 days   If 50 men leaves the hostel, remaining men = 250 - 50= 
250 - 50 = 200
200   We need to find out how long the food will last for these 200 men.   Let the required numer of days= x days   More men, Less days (Indirect Proportion)   ⇒Men250:200}::x:40   ⇒250 × 40 = 200x   ⇒ 5 × 40 = 4x   ⇒ x = 5 × 10 = 50. Answer : Option 50 days
Answer: B
Barbara has 8 shirts and 5 pants. How many clothing combinations does Barbara have, if she doesn’t wear 2 specific shirts with 3 specific pants?
Options.
A) 41  B) 24  C) 36  D) 70  E) 56

Solution: 8 shirts   9 pants   we can combine 2 shirts with (5-3) pants   2*2= 
2*2 = 4
4   we can combine the other shirts (6) with any pants (9)   4*5= 
4*5 = 20
20   Thus total :20+4= 
20+4 = 24
24ANS:24
Answer: B
Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the pipe B is turned off after? Select:
A) 8 B) 9 C) 6 D) 4 E) 1

Solution: Let B be turned off after x minutes. Then, part filled by (A + B) in x min + part filled by A in (30 - x) min = 1.   x(2/75 + 1/45) + (30- x) 2/75 = 1   11x + 180 - 6x = 225 => x = 9   Answer:9
Answer: B
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Choose the correct choice from the following options:	A) 2000	B) 2778	C) 2299	D) 2778	E) 2771

Solution: Let C.P. be Rs. x.   Then, (1920 - x)/x * 100 = (x - 1280)/x * 100   1920 - x = x - 1280   2x = 3200 => x = 1600   Required S.P. = 125 % of Rs. 1600 = 125/100 * 1600 = Rs. 2000.   2000nswer:2000
Answer: A
Of the three-digit integers greater than 600, how many have two digits that are equal to each other and the remaining digit different from the other two? Choose the correct choice from the following choices.
A) 90
B) 82
C) 80
D) 75
E) 36

Solution: Let the three digit number be represented as X Y Z.   There are 3 cases:   Case I.[ X=Y ]Z is not equal to XY :XXZorYYZ   X can be either 7, 8 or 9, so digit at X can be chosen in 3 ways   After X is chosen, Y can be chosen in 1 way   After XY are chosen, Z can be chosen in 9 ways   Thus, possible No of digits = (3 ways) * (1 way) * (9 ways) = 27 ....(1)   [example numbers: 774,779,882,993 etc]   Case II.[ X=Z ]Y is not equal to XZ:XYXorZYZ   X can be either 7, 8 or 9, so digit at X can be chosen in 3 ways   After X is chosen, Z can be chosen in 1 way   After XZ are chosen, Z can be chosen in 9 ways   Thus, possible No of digits = (3 ways) * (9 ways) * (1 way) = 27 ....(2)   [example numbers: 747,797,828,939 etc]   Case III.[ Y =Z ]X is not equal to YZ :XYYorXZZ   X can be either 7, 8 or 9, so digit at X can be chosen in 3 ways   After X is chosen, Y can be chosen in 9 ways   After Y is chosen, Z can have 1 way   Thus, possible No of digits = (3 ways) * (1 way) * (9 ways) = 27 ....(3)   [example numbers: 744,799,822,933 etc]   Therefore, total numbers of possible digits [sum of Case (1), (2)(3) above] = 27 + 27 + 27 - 1= 
27 + 27 + 27 - 1 = 80
80   One digit is subtracted from total number of possible digits to eliminate one possibility of XYZ= 700 to satisfy the condition that digit > 600.   Answer:(75)
Answer: D
At a local appliance manufacturing facility, the workers received a 15% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?  Choose the correct choice:
A) 13%  B) 80%  C) 20%  D) 17%  E) 12%

Solution: Let's say he works usually 10 hours and earns 100 per hour.   10 * 100= 
10 * 100 = 1_000
1000   10 * 115= 
10 * 115 = 1_150
1150 (this are the new earnings after the raise)   To figure out how much he needs to work with the new salary in order to earn the original 1000:   1000/115= 8.7   So he can reduce his work by 1.3 hours. Which is >13%.   13%nswer 13%
Answer: A
X can do a piece of work in 40days. He works at it for 8days and then Y finished it in 32 days. How long will Y take to complete the work?	Choose the correct choice from the following answers:  A) 10  B) 40  C) 15  D) 18  E) 20

Solution: Work done by X in 8days = 8*1/40 = 1/5   Remaining work = 1 - 1/5 = 4/5   4/5 work is done by Y in 32 days   Whole work will be done by Y in  32*5/4= 
 32*5/4 = 40
40 days   Answer is 40
Answer: B
A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?  Options: A) 288 B) 236 C) 350 D) 299 E) 266

Solution: D = 72 * 5/18 = 25 = 500 – 150 = 299.Answer:350
Answer: C
Mixture of milk & water has been kept in two separate bowl. Ratio of milk to water in one of the bowls is 5 : 1 and that in the other bowl 7 : 2. In what ratio the mixtures of these 2 bowl should be added together so that the quantity of milk in the new mixture may become 80%?  Choose the correct choice from the following choices
A) 2:3	B) 3:5	C) 4:5	D) 5:7	E) 6:11

Solution: Lett. mixtures of the two containers be added together in the ratio of x   = = [ixoox l00%   Since the percentage quantity ofmilk in the new mixture is SO% — so% (45x + 42y) x 5 4 x 54(x y) 225x 210y 216.3E+216y   9x=6y   x:y=2:3   2:3
Answer: A
If Q is a negative integer, which of the following must be a negative integer? Pick.
A) Q + 1  B) Q/2+3  C) Q^4  D) Q – y  E) Q^11

Solution: We need to check each option here:   A. Q + 1   This will depend on the value of Q. Nothing can be said   B. Q/2+3   This will depend on the value of Q. Nothing can be said   C. Q^4   This will always be positive. Even powers of negative numbers are positive and odd powers are negative   D. Q – y   This will depend on the value of Q. Nothing can be said   E. Q^11   This will always be negative. Q^11ven powers of negative numbers are positive and odd powers are negative   Correct Option: Q^11
Answer: E
When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?	Choose the correct choice from the following options:  A) 1/8  B) 1/4  C) 1/3  D) 3/8  E) 1/2

Solution: Winning scenario is if we'll have either three tails (TTT) or three heads (HHH): 1/2*1/2*1/2+1/2*1/2*1/2=1/4.   Answer: 1/4.
Answer: B
Samantha's investment portfolio consists of three stocks: an airline, a bank, and a computer company. In the month of February, the price of the airline's stock rose by 10%, that of the bank decreased by 10% and that of the computer company also decreased by 15%, but the overall value of her portfolio increased. If Samantha owns equal amounts of all three stocks, which of the following could be the initial prices of the three stocks in the order airline, bank, and computer company respectively?	Choose the correct choice from the following answers:	A) $55, $85, $40	B) $65, $60, $60	C) $85, $55, $45	D) $85, $25, $20	E) $25, $60, $70

Solution: Since Samantha owns equal amounts of stocks, the 10% increase alone should set off the 10% and 15% decrease in each of the other two stocks. i.e The stock which increased should have a substantially higher value than the two stocks which decreased. Between B and C, C is obviously the safer bet and is the right answer.   Answer is $85, $55, $45.
Answer: C
A customer pays 70 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker? Select the correct option:
A) A)$50
B) B)$60
C) C)$70
D) D)$80
E) E)$90

Solution: Let x be the original price.   x - 20 = 70   x - 20 + 20 = 70 + 20   x + 0 = 90   x = 90   correct answer is $90)$90
Answer: E
27 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?  Pick one:	A) 33	B) 66	C) 88	D) 100	E) 281

Solution: (27 * 8)/30 = (x * 6)/50 => x =60   60 – 27 = 33   33nswer: 33
Answer: A
We run a business that rents out canoes and kayaks. A canoe rental costs $15 per day, and a kayak rental costs $18 dollars per day. One day, our business rents out 3 canoes for every 2 kayaks and receives a total of $405 in revenue. How many more canoes than kayaks were rented out?  Select the correct option:	A) 5	B) 6	C) 7	D) 8	E) 9

Solution: Let x be the number of canoes.   Then 2x/3 is the number of kayaks.   15x+(2x/3)*18=405   15x+12x=405   27x=405   x=15 (canoes)   2x/3=10 (kayaks)   There were   15-10= 
  15-10 = 5
5 more canoes rented out.   The answer is 5.
Answer: A
The present age of a father is 3 years more than three times the age of his son.Three years hence,father as age will be 10 years more than twice the age of the son.Find the present age of the father.
Choose the correct choice from the following:
A) 88
B) 77
C) 33
D) 44
E) 55

Solution: Explanation:   Let the present age be 'x' years. Then father's present age is 3x+3 years. Three years hence (3x+3)+3=2(x+3)+10 x=10 Hence father's present age = 3x+3 =[ (3 x 10) + 3] = 33 years.   Answer: 33
Answer: C
What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for two years? Choose the correct choice from the following options: A) 29893 B) 27773 C) 29989 D) 28800 E) 23400

Solution: Simple interest = (18000 * 2 * 15)/100 = Rs. 5400   Amount = P + I = 18000 + 5400 = Rs. 23400   Answer: 23400
Answer: E
An article is bought for Rs.600 and sold for Rs.500, find the loss percent?  Answers:  A) 16 2/8%  B) 16 6/3%  C) 76 2/3%  D) 16 2/3%  E) 96 2/3%

Solution: 600 ---- 100   100 ---- ? => 16 2/3%   Answer: 16 2/3%
Answer: D
A family made a down payment of $100
and borrowed the balance on a set of
encyclopedias that cost $400. The
balance with interest was paid in 20
monthly payments of $17.2 each and a
final payment of $3. The amount of
interest paid was what percent of the
amount borrowed?	Pick one:
A) 6% B) 12% C) 14% D) 15.6% E) 20%

Solution: interest paid = 17.2*20+3 - 300= 
17.2*20+3 - 300 = 47
47   % off the balance= (47/300) * 100 = 15.67%   Answer is 15.6%.
Answer: D
During a trip, Francine traveled x percent of the total distance at an average speed of 30 miles per hour and the rest of the distance at an average speed of 60 miles per hour. In terms of x, what was Francine's average speed for the entire trip?
Answers:
A) (180-x)/2	B) (x+60)/4	C) 4800/x+100	D) 600/(115-x)	E) 12,000/(x+200)

Solution: total distance =100 ;total time = T   t1 = x/30 t2 = 100-x /60   T =t1+t2 = x/30 + 100-x/60 = (60x + 3000- 30x)/1800   = (30x+3000)/1800   = x +100 / 60   av speed = 100*60/x+100 = 4800/x+100   4800/x+100
Answer: C
A train 1000 m long passed a pole in 20 sec. How long will it take to pass a platform 500 m long?  Choose the correct option.
A) 22
B) 24
C) 26
D) 28
E) 30

Solution: Speed = 1000/20= 
1000/20 = 50
50 m/sec.   Required time= (1000 + 500)/50= 
(1000 + 500)/50 = 30
30 sec.   Answer:30
Answer: E
The average of five results is 48 and that of the first four is 45. The fifth result is? Choose the correct choice from the following answers.
A) 50	B) 60	C) 70	D) 80	E) 90

Solution: 5 * 48 – 4 * 45 = 60   ANSWER:60
Answer: B
In what time will a train 150 m long cross an electric pole, it its speed be 144 km/hr? Choose one:  A) 2.5 sec  B) 4.25 sec  C) 3.75 sec  D) 12.5 sec  E) 6 sec

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 150/40= 
150/40 = 15/4 = around 3.75
3.75 sec.   ANSWER:3.75 sec
Answer: C
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Select the correct option:
A) 298 m  B) 268 m  C) 500 m  D) 267 m  E) 181 m

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (800 + x)/60 = 65/3   x = 500 m.   Answer: 500 m
Answer: C
A room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.  Select:
A) 107	B) 117	C) 127	D) 137	E) 147

Solution: Let us calculate both the length and width of the room in centimeters.   Length = 6 meters and 24 centimeters = 624 cm   width = 4 meters and 32 centimeters = 432 cm   As we want the least number of square tiles required, it means the length of each square tile should be as large as possible.Further,the length of each square tile should be a factor of both the length and width of the room.   Hence, the length of each square tile will be equal to the HCF of the length and width of the room = HCF of 624 and 432 = 48   Thus, the number of square tiles required = (624 x 432 ) / (48 x 48) = 13 x 9 = 117   Answer: 117
Answer: B
If xy = 5 and x^2 + y^2 = 15, then x/y + y/x =  Choose the correct choice from the following choices:
A) 5
B) 3 1/7
C) 5 1/3
D) 7
E) 60

Solution: We can make simplifying of question and get it in view: (x^2 + y^2) / xy and as we know the meaning of this parts:   x^2 + y^2 = 15   xy = 5   we can calculate the answer 15/5 -> 5 so answer is 5
Answer: A
Missing number in the series
4 9 20 43 90 185 376 759?
Choose the most appropriate option:
A) 1750	B) 1850	C) 1900	D) 1950	E) 1526

Solution: 4*2+1= 
4*2+1 = 9
9   9*2+2= 
9*2+2 = 20
20   20*2+3= 
20*2+3 = 43
43   43*2+4= 
43*2+4 = 90
90   90*2+5= 
90*2+5 = 185
185   185*2+6= 
185*2+6 = 376
376   376*2+7= 
376*2+7 = 759
759   759*2+8= 
759*2+8 = 1_526
1526   ANSW1526R:1526
Answer: E
A certain school principal must choose 5 students to attend a field trip out of a group of 12 students. In addition, out of the 5 chosen students, the principal must select a note-taker and a treasurer. How many different ways are there for the principal to select the 5 students and then select the treasurer and the note-taker?
Choose the most appropriate option:
A) 1,260 B) 2,520 C) 15,840 D) 6,020 E) 10,080

Solution: 5 students can be selected out of 12 students in 12C5 ways.   out of the remaining 5 students,Note taker can be chosen in 5 ways.   Finally only 4 students remain from which we can choose a treasurer in 4 ways.   Total number of ways = 792 * 5 *4= 
792 * 5 *4 = 15_840
15840   correct answer - 15,840
Answer: C
In doing a division of a question with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is Choose the correct choice
A) 0  B) 12  C) 13  D) 20  E) None

Solution: Sol.   Dividend = (12 x 35) = 420.   Now, dividend = 420 and divisor = 21.   ∴ Correct quotient = 420 / 21= 
420 / 21 = 20
20.   Answer 20
Answer: D
In how many different ways can 7 identical green shirts and 7 identical red shirts be distributed among 14 children such that each child receives a shirt? Select the correct option: A) 87178291200 B) 871782912 C) 8717829 D) 871782 E) 87178

Solution: GGG RRR   Therefore total number of ways is   14! but there are two groups of 3 identical things.   Therefore total number of "different" ways is   14!/ (7!) (7!) = 20 87178291200NS:87178291200
Answer: A
A store sells five different kinds of shirts. If we want to buy two different kinds of shirts, how many possible combinations of two shirts can we buy?
Choose one:
A) 6 B) 8 C) 10 D) 12 E) 14

Solution: 5C2=10.   The answer is 10.
Answer: C
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?	Choose the correct option
A) 228 B) 277 C) 342 D) 291 E) 112

Solution: 400*(90/100)*(95/100)= 
400*(90/100)*(95/100) = 342
342   Answer: 342
Answer: C
In a group of 800 people, 1/5 play at least one instrument, 32 play two or more. What is the probability that one student play exactly one instrument?	Select the correct option: A) 2/125 B) 4/25 C) C)2/25 D) 3/25 E) 1/5

Solution: P(playing 2 or more instruments) = 32/800 = 1/25.   Then, the probability of playing exactly one instrument is given by:   P(playing 1 or more instruments) - P(playing 2 or more instruments) = 1/5 - 1/25 = 4/25.   Answer 4/25.
Answer: B
A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance doubled to $5080. What is the average monthly balance maintained by John in his
account during the year?  Pick:
A) 2840 B) 5680 C) 6840 D) 25400 E) 28400

Solution: bank balance is doubled with accumulation of interest tp 5080..   this means INTEREST is   5080/2= 
  5080/2 = 2_540
2540 for entire year..   although since interest is 10% of avg MONthly balance, it becomes 25400..   25400
Answer: D