MU-NLPC/Calc-aqua_rat huggingface dataset:
Solve:-
555 x 555 x 555 + 555 x 555 x 555 = ?(555 x 555 - 555 x 555 + 555 x 555)	Answers.
A) 888  B) 333  C) 555  D) 988  E) 1110

Solution: Given Exp. = (a3 + b3) = (a + b) = (555 + 555)= 
(555 + 555) = 1_110
1110(a2 - ab + b2)   Answer 1110
Answer: E
A fair 2 sided coin is flipped 4 times. What is the probability that tails will be the result at least twice, but not more than 4 times?
Answers:  A) 1/8  B) 2/3  C) 5/8  D) 4/7  E) 3/7

Solution: at least twice, but not more than 4 timesmeans exactly 2 times, 3 times, 4 times   The probability of getting exactly k results out of n flips is n5/8k/2^n   45/82/2^4+45/83/2^4=10/16=5/8   Option: 5/8
Answer: C
Rs.590 is divided amongst A, B, C so that 5 times A's share, six times B's share and eight times C's share are all equal. Find C's share?
Choose the correct choice from the following answers:
A) 177  B) 150  C) 817  D) 716  E) 616

Solution: A+150+C = 590   5A = 6150 = 8C = x   A:150:C = 1/5:1/6:1/8   = 24:20:15   15/59 * 590   = Rs.150   Answer: 150
Answer: B
Find the value of 72516 x 9999 = m?  Choose the most appropriate option:
A) 456578972	B) 436567874	C) 725087484	D) 725117481	E) 357889964

Solution: 72516 x 9999 = 72516 x (10000 - 1)   = 72516 x 10000 - 72516 x 1   = 725160000 - 72516= 
725160000 - 72516 = 725_087_484
725087484   725087484
Answer: C
If a truck is traveling at a constant rate of 54 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters)	Choose the correct answer
A) 18	B) 24	C) 30	D) 36	E) 40

Solution: Speed = 54 Km/hr => 54,000 m/hr   In one minute => 54000/60= 
54000/60 = 900
900 meters   In one sec=> 900/60= 
900/60 = 15
15 meters   Time= Total distance need to be covered / Avg. speed   => 600/ 15= 
600/ 15 = 40
40 and hence the Answer : 40
Answer: E
When a number is divided by 6 &then multiply by 12 the answer is 15 what is the no.?	Choices.
A) 4.5	B) 5	C) 5.6	D) 7.5	E) 6.5

Solution: if $x$ is the number, x/6 * 12 = 15   => 2x = 15   => x = 7.5   7.5
Answer: D
For all even integers n, h(n) is defined to be the sum of the even integers between 4 and n, inclusive. What is the value of h(18)/h(10) ? Choose the correct choice from the following choices
A) 3 B) 1.8 C) 6 D) 18 E) 60

Solution: CONCEPT: When terms are in Arithmetic Progression (A.P.) i.e. terms are equally spaced then   Mean = Median =(First+Last)/2   and Sum = Mean*Number of terms   h(18) = [(4+18)/2]*8 = 88   h(10) (4+18)/2 *8= 
(4+18)/2 *8 = 88
88   h(10)= (4+10)/2]*4 = 28   h(18)/h(10) (4+10)/2 *4= 
(4+10)/2 *4 = 28
28   h(18)/h(10)= (88) / (28) ~ 3   3nswer : 3
Answer: A
A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together? Choose the correct choice from the following
A) 62  B) 78  C) 23  D) 5  E) 32

Solution: WC = 3:1   WT = 1:3   x 3x   1/x – 1/3x = 1/10   x = 20/3   3/20 + 1/20 = 1/5 => 5 days   Answer: 5
Answer: D
On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is: Pick one:
A) 48759
B) 51236
C) 47619
D) 6974
E) 1235

Solution: Explanation:   By hit and trial, we find that   47619 x 7 = 333333.   ANSWER:47619
Answer: C
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
Select
A) 42 6/7	B) 35	C) 20	D) 25	E) 40

Solution: 50 SP = 50 CP + 15 SP   35 SP = 50 CP   35 --- 15 CP gain   100 --- ? => 42 6/7%   42 6/7NSWER 42 6/7
Answer: A
What decimal of an hour is a second ? Select.
A) .0025 B) .0256 C) .00027 D) .000126 E) none of the above

Solution: Required decimal = 1/(60*60) =1/3600 = .00027   Answer = .00027
Answer: C
In an election a candidate who gets 84% of the votes is elected by a majority of 476 votes. What is the total number of votes polled?
Options:  A) 630  B) 700  C) 535  D) 450  E) 815

Solution: Let the total number of votes polled be x   Then, votes polled by other candidate = (100-84)= 
(100-84) = 16
16% of x   84% of x - 16% of x= 476   68x/100 = 476   x = 476*100/68= 
476*100/68 = 700
700   Answer is 700
Answer: B
The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 64% of the required amount. What is the net difference in the expenditure on that product?  Choose the correct option:
A) 12.5%
B) 13%
C) 15%
D) 17%
E) 20%

Solution: Quantity X Rate = Price   1 x 1 = 1   0.64 x 1.25 = 0.8   Decrease in price = (0.2/1) × 100 = 20%   20%)
Answer: E
When running a mile during a recent track meet, Nuria was initially credited with a final time of 3 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?  Choose one:	A) 5 minutes, 17.6 seconds	B) 5 minutes, 21.8 seconds	C) 4 minutes, 10.4 seconds	D) 5 minutes, 44.44 seconds	E) 5 minutes, 43.56 seconds

Solution: One approach:   The watch starts to work after Nuria began his running. It means the time should be greater than credited 3 minutes, 44 seconds. The only number is 4 minutes, 10.4 seconds.   Another approach:   11/25 close to 30 second when added to the 3 minutes, 44 seconds, it means it passes 4 minute.   Answer: 4 minutes, 10.4 seconds
Answer: C
In how many ways can the letters of the word CAVERN be arranged in a row so that the vowels appear in alphabetic order?	Choose the correct answer
A) 360	B) 720	C) 620	D) 180	E) 36

Solution: Two letters can be arranged in 2! ways.   only one combination EIU is required.   6 letters can be arranged in 6! ways.   thus 6!/ 2! * 1 = 360.   360
Answer: A
If two letters are chosen at random (without replacement) from the word DANCE, what is the probability that none of the letters are vowels?	Options
A) 1/5
B) 2/5
C) 3/10
D) 7/20
E) 11/30

Solution: The number of ways to choose two letters is 5C2 = 10   The number of ways to choose two consonants is 3C2 = 3.   P(no vowels) = 3/10   The answer is 3/10.
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train.
Choose the correct choice from the following choices:  A) 150 m  B) 145 m  C) 240 m  D) 135 m  E) 250 m

Solution: Speed = 60*(5/18) m/sec = 50/3 m/sec   Length of Train (Distance) = Speed * Time     (50/3) * 15= 
  (50/3) * 15 = 250
250 meter   ANSW250 mR: 250 m
Answer: E
Mrs. Rodger got a weekly raise of $147. If she gets paid every other week, write an integer describing how the raise will affect her paycheck. Choose the most appropriate option
A) $140
B) $141
C) $142
D) $147
E) $145

Solution: Let the 1st paycheck be x (integer).   Mrs. Rodger got a weekly raise of $ 147.   So after completing the 1st week she will get $ (x+147).   Similarly after completing the 2nd week she will get $ (x + 147) + $ 147.   = $ (x + 147 + 147)   = $ (x + 294)   So in this way end of every week her salary will increase by $ 147.   correct answer $147)$147
Answer: D
Calculate how many seconds it will take for 4 bells to toll together again, given that they begin to toll together respectively at the intervals of 5, 6, 10 and 12 seconds. ?  Options:	A) 61	B) 60	C) 79	D) 70	E) 78

Solution: LCM of 5, 6, 10 and 12 is   60   LCM=60   ANSWER:60
Answer: B
In a certain archery competition, points were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points. No other points are awarded. John participated several times in the competition and finished first, second, third, or fourth each time. The product of all the points he received was 38500. How many times did he participate in the competition?  Choose the most appropriate option:
A) 6	B) 7	C) 8	D) 9	E) 10

Solution: 38500 = 2*2*5*5*5*7*11   John participated 7 times.   The answer is 7.
Answer: B
What is the area of a square field whose diagonal of length 22 m? Choose one:	A) 300 sq m	B) 220 sq m	C) 200 sq m	D) 400 sq m	E) 800 sq m

Solution: d2/2 = (22 * 22)/2 = 220   ANSWER:220 sq m
Answer: B
Two cars are traveling towards each other. If car A is traveling at a speed of 50 mph and car B is traveling 12% slower, how much time will it take the cars to meet if the initial distance between the two is 825 miles?	Choose the correct choice from the following answers:  A) Six hours and 30 minutes.  B) Seven hours and 30 minutes.  C) Eight hours and 20 minutes.  D) Nine hours and 15 minutes.  E) Ten hours and 20 minutes.

Solution: Speed of second train= 50*88/100= 
50*88/100 = 44
44   Time= toral distance /total speed   825/ (50+44)= 825/94= 8.___   Eight hours and 20 minutes. is the answer
Answer: C
The cost of 2 chairs and 3 tables is Rs.1700. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by?
Answers:
A) 228	B) 287	C) 277	D) 188	E) 500

Solution: 500xplanation:   2C + 3T = 1700 --- (1)   3C + 2T = 1200 --- (2)   Subtracting 2nd from 1st, we get   -C + T = 500 => T - C = 500   Answer:500
Answer: E
Trapezoid JKLM in the x-y plane has coordinates J = (–2, –3), K = (–2, 1), L = (6, 7), and M = (6, –3). What is its perimeter?	Choose the correct answer:
A) 32 B) 36 C) 38 D) 40 E) (F) 42

Solution: JK = 4   LM = 10   KL =using distance formula 10   JM = using distance formula 8   Sum of all is 32   32
Answer: A
If 6 (A's capital) = 8 (B's capital) = 16 (C's capital). Then the ratio of their capitals is? Choose the correct choice
A) 8:15:16  B) 8:15:68  C) 8:6:3  D) 20:15:11  E) 20:15:19

Solution: 6A = 8B = 16 8:6:3   A:B:8:6:3 = 1/6:1/8:1/16   = 8:6:3   Answer: 8:6:3
Answer: C
How many C ways can you group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen?	Choices:
A) 3 B) 16 C) 28 D) 32 E) 56

Solution: Ways to select 3 people from 8 people (4 twins x 2) = 8C3 = 56   Ways to select 1 twin + 1 people = 4C1*6C1 = 24   Ways to select a group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen C = 56 - 24= 
56 - 24 = 32
32   Ans: 32
Answer: D
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. 8 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each? Options:
A) s.4529  B) s.4586  C) s.7248  D) s.4530  E) s.4528

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 * 8   =Rs.7248   Answer: s.7248
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 choices:
A) 1 hr B) 2 hr C) 6 hr D) 8 hr E) 7 hr

Solution: Let the duration of the flight be x hours. Then,   600/x - 600/(x + 1/2) = 200   x(2x + 1) = 3 2x2 + x - 3  (2  + 1)= 
 (2  + 1) = 3
3 2x2 + x - 3= 0   (2x + 3)(x - 1) = 0   x = 1 hr.   1 hrnswer: 1 hr
Answer: A
What is the next number in the sequence.
15 29 56 108 208 ?  Choices:
A) 450
B) 400
C) 300
D) 500
E) 580

Solution: 400   400   Explanation:   400egins with 15   2*15-1= 
2*15-1 = 29
> 29   2*29-2= 
2*29-2 = 56
> 56   2*56-4= 
2*56-4 = 108
> 108   2*108-8= 
2*108-8 = 208
> 208   2*208-16= 
2*208-16 = 400
> 400
Answer: B
There is a 10% chance that Tigers will not win at all during the whole season. There is a 90% chance that Federer will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Federer will play during the season? Choose the correct answer
A) A)55%  B) B)60%  C) C)70%  D) D)72%  E) E)10%

Solution: There is a 10% chance that Tigers will not win at all during the whole season   We can infer that there is 90% chance Tigers will win .   Similarly There is a 90% chance that Federer will not play at all in the whole season   We can also infer that there is 10% chance that Federer will play.   Answer 10%
Answer: E
At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $120. At the same place it would cost $160.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola? Select:
A) $21  B) $27  C) $31  D) $39  E) It cannot be determined

Solution: let's suppose that the price of a burger is BB, of a shake - SS and that of a cola is CC. We can then construct these equations:   3B+7S+C=120   4B+10S+C=160.5   Subtracting the first equation from the second gives us B+3S=40.5   Now if we subtract the new equation two times from first or 3 times from second we will get B+S+C=39. In any case, there is no necessity to know each item's price, just the sum.   Answer: $39
Answer: D
A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?	Choose the correct choice:  A) 3.6%  B) 4.5%  C) 5%  D) 6%  E) None of these

Solution: (725 x R x 1 /100) + (362.50 x 2R x 1 /100 x 3 ) = 33.50   (725 x 1 /100 + 362.50 x 2 /100 x 3) R = 33.50   (725 x 3 + 725 / 100 x 3) R = 33.50   (2175 + 725 ) R = 33.50 x 100 x 3   (2900) R = 10050   R = 10050/2900   R = 3.46%   answer :None of these
Answer: E
A boat can move upstream at 25 kmph and downstream at 39 kmph, then the speed of the current is?  Select: A) 5 B) 6 C) 7 D) 54 E) 3

Solution: US = 25   DS = 39   M = (39 - 25)/2= 
(39 - 25)/2 = 7
7.Answer:7
Answer: C
If x% of y is 100 and y% of z is 200, then find the relation between x and z. Pick one.
A) z = x B) 2z = x C) z = 2x D) z =x2 E) None of above

Solution: Explanation:   It is , y% of z = 2(x% of y)   => yz/100 = 2xy/100   => z = 2x   Answer: Option z = 2x
Answer: C
The present ages of Reena and Usha are 24 and 36 yr. respectively . What was the ratio between the ages of Usha and Reena respectively 8 yr ago ?  Answers:
A) 7 : 4	B) 4 : 7	C) 11 : 8	D) 8 : 11	E) 9:12

Solution: Required ratio = (36 - 8)/(24 - 8) = 28/16 = 7 : 4   7 : 4NSWER :7 : 4
Answer: A
At a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint.Verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint.How many liters of yellow paint must be added to 7 liters of forest green to change it to Verdant green?	Choose one:
A) 5/3 B) 2/7 C) 7/3 D) 1/7 E) 1/4

Solution: 7 liter of Forset green have 4 liter of blue and 3 liter of yellow   Suppose we add x liter of yellow to make it a verdant green so the ratio of blue to yellow in verdant green is ¾ so the equation is   Blue/yellow =4/(3+x) = ¾   9+3x=16 => x =7/3   Answer : 7/3
Answer: C
If a = (1/5)b and c = 9a, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of a ?	Choices
A) a + 4  B) (11/3)a  C) 4a  D) 5a  E) (7 1/4)a

Solution: Official Answer: D   The average of the three variables isa + b + c/3. However, we need to solve in terms of a, which means we must convert b and c into something in terms of a.   Were told that a =1/5b, which is equivalent to b = 5a. We can plug that in and simplify the average to:a + 5a + c/3   We also know that c = 9a, which we can plug directly into the average expression:   a + 5a + 9a/3   = 15a/3 = 5a, choice5a.15 /3= 
15 /3 = 5
5a, choice5a.
Answer: D
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?  Choose the correct choice from the following choices: A) 42 6/8% B) 42 5/7% C) 49 6/7% D) 42 6/7% E) 42 1/7%

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
The average age of the mother and her six children is 9 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?	Answers:  A) 39  B) 41  C) 42  D) 43  E) 44

Solution: Total age of mother and 6 children = avg x n = 9 x (6+1)= 63   If mother is excluded new average is  (9 - 5)= 
 (9 - 5) = 4
4   so for 6 children= 6 x 4 =24   so mother's age is  63 - 24= 
 63 - 24 = 39
39   39nswer: Option 39
Answer: A
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 282 runs?  Pick one
A) 6.25	B) 6.27	C) 6.23	D) 6.29	E) 6.39

Solution: Required run rate   = [282 - (3.2 * 10)]/40   = 250/40= 
250/40 = 25/4 = around 6.25
6.25'   6.25nswer:6.25
Answer: A
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?  Choose the correct choice from the following choices.
A) 45 cm B) 18 cm C) 90 cm D) 180 cm E) None of these

Solution: Volume of the wire (in Cylindrical shape) is equal to the volume of the sphere.   π(16)2 * h = (4/3)π (12)3 => h = 9 cm   ANSWNone of theseR:None of these
Answer: E
The average of 50 numbers id 20. If two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is : Options.
A) 22.75
B) 33.25
C) 22.25
D) 11.75
E) 18.75

Solution: 18.75xplanation:   Total of 50 numbers = (50×20)=1000   Total of 48 numbers =(1000-(45+55)]=900   Required average = 900/48= 
900/48 = 75/4 = around 18.75
18.75   Answer:18.75
Answer: E
John bought 2 shares and sold them for $90 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had
Choose the correct choice from the following choices: A) a profit of $10 B) a profit of $8 C) a loss of $8 D) a loss of $20 E) neither a profit nor a loss

Solution: $ Profit of the share sold at 20% profit =   120-90   20-?   $10 profit on the sale of 1 share.   $ Loss of the share sold at 20% loss=   80-90   20-?   $30 loss on the sale of 1 share.   10-30=Loss of $20   Answer: a loss of $20
Answer: D
The manufacturing cost of a shoe is Rs.220 and the transportation lost is Rs.500 for 100 shoes. What will be the selling price if it is sold at 20% gains Choose the correct choice from the following answers:
A) s 222  B) s 216  C) s 220  D) s 270  E) s 217

Solution: Explanation :   Total cost of a watch = 220 + (500/100)= 
220 + (500/100) = 225
225.   Gain= 20% => SP = 1.2CP = 1.2 X 225 = 270   Answer : s 270
Answer: D
Machine Z takes 2 more hours than machine B to make 20 widgets. If working together, the machines can make 25 widgets in 3 hours, how long will it take machine Z to make 40 widgets?	Answers:  A) 5  B) 6  C) 8  D) 10  E) 12

Solution: i approached this one by plugging in numbers...started with C.   if 40 are made in 8 hours, then 20 are made in 4 hours. so time of Z is 4, and time of B is 2.   rate together: 20/4 + 20/2 = 5+10= 
5+10 = 15
15. so in 1 hour, together make 15 widgets. in 3 hours= 45. way too much. we can eliminate right away C, B, and A - because B and A reduces the time - the total # of widgets made will be even higher.   now between D and E -> try only one ..if it doesn't work, then the other one is the answer.   i picked E:   12h to make 40 widgets, and 6 hours to make 20. this is the time of Z. time of B=4 hours.   20/6 + 20/4 = 10/3 + 20/4   find LCM of 3 and 4 = 12. multiply first by 4, and second by 3:   40+60/12 = 100/12   divide by 4:   25/3   so this is the rate given.   12 is the correct answer
Answer: E
In how many different number of ways 8 men and 5 women can sit on a shopa which can accommodate persons? Pick
A) 170	B) 180	C) 200	D) 1716	E) 220

Solution: Option '1716'   13p3 = 13 × 12 × 11 = 1716
Answer: D
A certain deck of cards contains 2 blue cards, 2 red cards, 2 yellow cards, and 2 green cards. If two cards are randomly drawn from the deck, what is the probability that they will both be not red?  Pick
A) 15/28	B) 1/4	C) 9/16	D) 1/32	E) 1/16

Solution: The question asks they will both be not red. Considering that these are draws without replacement there are following possibilities :   draw 1, draw 2   ===== =====   1) Not Red, Red;   2) Red, Not Red;   3) Red, Red;   4) Not Red, not Red;   The answer has to be either P(4) OR all exclusion of the 3 previous conditions i.e. 1- [P(1) + P(2) + P(3)] => neither of the draws are Red   P(4) = 6/8*5/7=15/28   1- [P(1) + P(2) + P(3)] = 1 - [ (6/8 * 2/7) + (2/8*6/7) + (2/8*1/7)] = 1 - [26/8*7] = 1 - [13/28] = 15/28   15/28
Answer: A
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 462 but three tickets from city A to B and two tickets from city A to C cost Rs. 438. What are the fares for cities B and C from A ?
Choose the correct choice from the following choices:
A) s. 4, Rs. 23
B) s. 13, Rs. 17
C) s. 15, Rs. 14
D) s. 77, Rs. 103
E) s. 78, Rs. 102

Solution: If fares for cities B and C from A are x and y respectively, then   2x+3y=462 or 6x+9y= 1386   3x+2y =438 or 6x+4y= 876   subtracting   5y = 510   y= Rs 102   Hence e. Rs. 78, Rs. 102   ANSWs. 78, Rs. 102R:s. 78, Rs. 102
Answer: E
The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 18%? Choose the correct answer:	A) 37.5%	B) 48%	C) 50.5%	D) 28.125%	E) 56%

Solution: Explanation:   Let marked price = Rs. 100.   Then, C.P. = RS. 64, S.P. = Rs. 82   Gain % = 18/64 * 100= 
18/64 * 100 = 225/8 = around 28.125
28.125%.   Answer: Option 28.125%
Answer: D
A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3.5 a rupee. Find his net profit or loss percent?
Answers
A) 13.2 %	B) 15.2 %	C) 14.28 %	D) 32 1/3 %	E) 33 1/2 %

Solution: The total number of mangoes bought by the shopkeeper be 12.   If he buys 4 a rupee, his 14.28 %P = 3.5   He selling at 3.5 a rupee, his SP = 4   Profit = SP - 14.28 %P = 4 - 3.5= 
4 - 3.5 = 0.5
0.5   Profit Percent= 0.5/3.5 * 100 = 14.28 %   Answer:14.28 %
Answer: C
A positive whole number has factors of 5 and 11. The number MUST be divisible by: I. 55 II. 110 III. 220	Choices.
A) I  B) II & III  C) II  D) III * I  E) III

Solution: 55 , 110 is not divisible by 220.But 220 is divisible by 5,11,55,110   So answer is III   Answer : III
Answer: E
Two cars, one from Austin to Dallas and the other from Dallas to Austin, start simultaneously. After they meet, the cars reach their destinations after 4 hours and 9 hours respectively The ratio of their speeds is Choose the correct choice from the following
A) 2 : 3 B) 4 : 3 C) 3 : 6 D) 4 : 5 E) None

Solution: Solution   Let us name the cars   as 2 : 3 and B.	= (Car 2 : 3'S speed) : (Car B's speed)   =âˆšb : âˆša   = âˆš4 : âˆš9   = 2 : 3   2 : 3nswer 2 : 3
Answer: A
A scientist has a set of weights {1Kg, 2Kg, 4Kg, 8Kg, 16Kg, 32Kg}. This set is good enough to weight any object having an integral weight between 1Kg and 63Kg (Eg. 19 Kg = 16Kg + 2Kg + 1Kg). If the 4 Kg weight is lost, how many weights between 1Kg & 63Kg can no longer be measured ?  Choose the most appropriate option:
A) 16
B) 32
C) 48
D) 64
E) 80

Solution: Total # of ways to distribute SSEGT among 5 sisters (without restriction) is 5!2!=605!2!=60;   The # of ways when the youngest niece gets G is: 4!2!=124!2!=12 (give G to youngest and then distribute SSET among 4 sisters).   So, # of ways when youngest niece doesn't get G is: 60−12=4860−12=48.   Answer: 48.   ANSWER:48
Answer: C
An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What fraction of the total number of students took part in the fete ?  Choose the correct choice
A) 2/13  B) 13/40  C) Data inadequate  D) 14/50  E) None of these

Solution: Explanation:   Data insufficient to solve the question   Answer is Data inadequate
Answer: C
The profits of QRS company rose 35% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?	Choose the correct option.
A) 15% B) 32% C) 40% D) 62% E) 80%

Solution: Assume 100 in march , then 135 in April as 35% increase , Then 108 in may as 20% decrease from April , and then 162 in june which is 150% of 108 .   So overall increase is from 100 to 162 is 62%   Answer 62%
Answer: D