MU-NLPC/Calc-aqua_rat huggingface dataset:
It costs $2 for the first 1/5 hour to use the laundry machine at the Laundromat. After the first ¼ hour it costs $12 per hour. If a certain customer uses the laundry machine for 2 hours and 15 minutes, how much will it cost him?
Pick.
A) $25.	B) $26.	C) $29.	D) $30.	E) $31.

Solution: 2 hrs 15 min = 135 min   First 12 min ------> $2   Time left is 135 min...   Now, 60 min costs $ 12   1 min costs $ 12/60   135 min costs $  12/60*135= 
 12/60*135 = 27
> $ 27   So, Total cost will be $27 + $2 => $ 29   Hence answer will be $29.27 +  2= 
27 +  2 = 29
> $ 29   Hence answer will be $29.
Answer: C
x, y, and z are all unique numbers. If x is chosen randomly from the set {10, 11} and y and z are chosen randomly from the set {20, 21, 22, 23}, what is the probability that x and y are prime and z is not?	Choose the correct choice from the following options
A) 1/5
B) 3/20
C) 1/8
D) 3/10
E) 1/10

Solution: P(x is prime) = 1/2   P(y is prime) = 1/4   If y is prime, then z is not prime since y and z are unique.   Then the probability is 1/2*1/4 = 1/8   The answer is 1/8.
Answer: C
Debini normally drives to work in 45 minutes at an average speed of 40 miles per hour. This week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20% . If Debini averages between 12 and 16 miles per hour when biking, how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives?
Answers:
A) 135
B) 105
C) 95
D) 75
E) 45

Solution: Debini normally drives to work in 45 minutes at an average speed of 40 miles per hour.   Use formula 75 = RT   Car:   T1: 45 min   R1: 40 mph   751: [(40*45)/60= 
(40*45)/60 = 30
30 miles   Bike:   T1:?   R2: 12 - 16 mph   752: 08*751= 24 miles   T1: [(24*60)/12= 
(24*60)/12 = 120
120 min (Only 12 mph speed yields an answer given in the choices)   Therefore, 75eb has to leave 120 min - 45 min= 75 min early   ANSWER: 75
Answer: D
In 1985, 45 percent of a document storage facility's 60 customers were banks, and in 1987, 25 percent of its 144 customers were banks. What was the percent increase from 1985 to 1987 in the number of bank customers the facility had? Choose the correct choice from the following answers:
A) 10.7%  B) 20%  C) 25%  D) 33 1/3  E) 58 1/3

Solution: No of bank customers in 1985 = 60 x .45 = 27   No of bank customers in 1987 = 144 x .25 = 36   increase in % = 100 X 9/27 = 100/3 or 33 1/3   33 1/3 is the correct answer
Answer: D
A sum fetched total simple interest of 4016.25 at the rate of 12 p.c.p.a. in 5 years. What is the sum?  Pick.
A) 6693.75  B) 8032.5  C) 4462.5  D) 8900  E) None of these

Solution: Let the sums be P.   Now, 60% of P = 4016.25   or, P = 6693.75   6693.75nswer 6693.75
Answer: A
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.	Choose the correct choice from the following options
A) 121km B) 242km C) 224km D) 112km E) 115km

Solution: Explanation:   Average Speed =2Ã—21Ã—24/21+24=22.4 km/hr   Total distance =22.4Ã—10=224 km   ANSWER IS 224km
Answer: C
A train 70 m long, running with a speed of 63 km/hr will pass a tree in?  Choose the correct choice from the following answers
A) 4 sec  B) 16 sec  C) 6 sec  D) 20 sec  E) 8 sec

Solution: Speed = 63 * 5/18 = 35/2 m/sec   Time taken = 70 * 2/35 = 16 sec   4 secNSWER: 4 sec
Answer: A
A man buys an article for $100. and sells it for $130. Find the gain percent? Choose the correct option:	A) 10%	B) 15%	C) 25%	D) 20%	E) 30%

Solution: C.P. = $100   S.P. = $130   Gain = $30   Gain% = 30/100 *100= 
30/100 *100 = 30
30%   Answer is 30%
Answer: E
There are 8 books in a shelf that consist of 3 paperback books and 5 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Pick
A) 40 B) 45 C) 50 D) 55 E) 65

Solution: 8C4 [Select any four] - 6C4 [Select all hard backs] =65.   65
Answer: E
Simplify the following equation
[(p - q)2 - (p + q)2] / 4p = b/a  Choose the correct choice from the following options
A) a b = q  B) q b = a  C) a q = b  D) a q = -b  E) None of these

Solution: [(p - q)2 - (p + q)2] / 4p = b/a   => [p2 + q2 - 2pq - (p2 + q2 + 2pq)] / 4p = b/a   => - 4pq/4p = b/a   => q = - b/a   => a q = -b   ANSWER:a q = -b
Answer: D
A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black?  Choices.
A) 20/145  B) 18/145  C) 35/120  D) 36/145  E) 40/145

Solution: The probability that first ball is white:   =12C1/30C1   12/30   =>2/5   Since, the ball is not replaced; => the number of balls left in bag- 29.   the probability the second ball - BLACK   18C1/29C1 = 18/29   req = 2/5 * 18/29 = 36/145   ANSWER 36/145
Answer: D
The majority owner of a business received 25% of the profit, with each of 4 partners receiving 25% of the remaining profit. If the majority owner and two of the owners combined to receive $62,500, how much profit did the business make?	Options
A) $100,000 B) $125,000 C) $150,000 D) $200,000 E) $250,000

Solution: Majority owner + two partners = 0.25*P + 2*(0.25)*(0.75)*P = 0.25*P + (0.5)*(0.75)*P = 0.25*P + (0.375)*P = (0.625)*P   This equals $62,500.   (0.625)*P = 62,500 ----- divide both sides by 625   (0.001)*P = 100 ------ multiply by 1000   P = 100,000   $100,000nswer = $100,000
Answer: A
A thief steals at a car at 3.00 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
Choose the most appropriate option:	A) 1 p.m	B) 3 p.m	C) 4 p.m	D) 5.30 p.m	E) 6 p.m

Solution: D   5.30 p.m   Suppose the thief is overtaken x hrs after 3.00 p.m.   Then, distance covered by the owner in (x - 1/2) hrs.   60x = 75(x - 1/2) => x = 5/2 hrs.   So, the thief is overtaken at 5.30 p.m.
Answer: D
If six persons sit in a row, then the probability that three particular persons are always together is ?  Answers
A) 1/6 B) 1/9 C) 1/5 D) 1/1 E) 1/3

Solution: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability   = 3!4!/6! = 1/5   Answer:1/5
Answer: C
A bookseller has two display windows. She plans to display 5 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows? Choose the most appropriate option.
A) 24  B) 72  C) 720  D) 336  E) 420

Solution: The left window will have permutations of the 5 fiction books, so the number of possibilities for that window is   permutations = 5! = (5)(4)(3)(2)(1) = 120   The right window will have permutations of the 3 non-fiction books, so the number of possibilities for that window is   permutations = 3! = (3)(2)(1) = 6   Any of the 24 displays of the left window could be combined with any of the 6 displays of the right window, so the total number of configurations is 120*6= 
120*6 = 720
720   Answer: 720.
Answer: C
From the starting point in a boat race, one competitor started to sail north at a speed of 1.1 Km/h, the other competitor started to sail west at a speed of 1.2 Km/h. What is the distance in Km between the two competitors after 5 hours?	Answers:
A) 8.1
B) 12.
C) 12.5.
D) 14.
E) 15.4.

Solution: Both competitors are sailing making angle of 90 degrees.   8.1fter 5 hrs one competitor will cover a distance of = 1.1 *5= 
1.1 *5 = 5.5
5.5 KM   8.1nd, other competitor will cover a distance of= 1.2*5= 
1.2*5 = 6
6KM   distance between them after 5 hrs= (5.5^2+ 6^2)^1/2= 8.1 KM   8.1 is the answer
Answer: A
The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability W that 3 of Sam’s 4 funds grew by at least 10% over last year?  Choose the correct choice from the following choices:
A) 6C3 / 10C4
B) 6C3 * 4C1 / 10C4
C) 6C3 * 4C1 / 10P4
D) 6P3 * 4P1 / 10C4
E) 6P3 * 4P1 / 10P4

Solution: Look at the answers. B is the only answer choice that uses only combination formulas and takes into account all the factors.   We know this is a combination, not a permutation. This rules out choices C, DE.   A clearly isn't the answer because W=6C3 only accounts for 3 of the funds he chose. 10C4, the denominator, is correct, so the numerator must be wrong.   6C3 * 4C1 / 10C4 it is.
Answer: B
D, B, C are three consecutive positive integers (D>B>C). What is the value of the expression 2D +B +3C?	Select the correct option.
A) 6A+7.	B) 5A+1.	C) 5A-1.	D) 6A-5.	E) 6D-7.

Solution: => D+D+(D-1)+3(D-2)   =6D-7=6D-7.
Answer: E
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 2 employees to 5 different offices?
Select the correct option:  A) 5  B) 6  C) 7  D) 25  E) 9

Solution: Ans. Each employee can go into any of the two offices. Thus we have   => 5 * 5= 
5 * 5 = 25
25   Answer : 25
Answer: D
The length of a train and that of a platform are equal. If with a speed of 36 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choose the correct choice from the following:  A) 752  B) 799  C) 300  D) 750  E) 712

Solution: Speed = [36 * 5/18] m/sec = 10 m/sec; Time = 1 min. = 60 sec.   Let the length of the train and that of the platform be x meters.   Then, 2x/60 = 10 Ã¨ x = 10 * 60 / 2= 
10 * 60 / 2 = 300
300   Answer: 300
Answer: C
The operation # is defined for all nonzero f and y by f#y = f + f/y. If a>0, then 1#(1#a) = Answers:	A) a	B) a+1	C) a/(a+1)	D) (a+2)/(a+1)	E) (2a+1)/(a+1)

Solution: f#y = f + f/y. If a>0, then 1#(1#a) =   You can see that a stands for y and 1 stands for f. I like to work with numbers so I did f=1 a=2 and a=y so y=2   1#a= 1+(1/2)= 
1+(1/2) = 3/2 = around 1.5
1.5 so now a is 1.5 --> 1+(1/1.5)=1 2/3 = 5/3   So now you can check by filling in a, which is 2:   A. a --> 2   B. a+1 --> 2+1=3   C. a/(a+1)-->2/(2+1)=2/3   D. (a+2)/(a+1)-->(2+2)/(2+1)=4/3   E. (2a+1)/(a+1)-->(2*2+1)/(2+1)=5/3   So (2a+1)/(a+1) is the answer.
Answer: E
The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 10 months, find for how much time did Q invest the money? Choose the correct choice:
A) 11	B) 10	C) 20	D) 16	E) 12

Solution: 7*5: 10*x = 7:10   x = 20   Answer:20
Answer: C
In triangle PQR, the angle Q = 90 degree, PQ = 4 cm, QR = 8 cm. X is a variable point on PQ. The line through X parallel to QR, intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. Find the least possible length of XZ Select:  A) 1.2 cm  B) 2.4 cm  C) 4.8 cm  D) 2.16 cm  E) 3.2 cm

Solution: Look at the diagram below:   Now, in case when QY is perpendicular to PR, two right triangles PQR and PQY are similar: QY:QP=QR:PR --> QY:4=8:10 --> QY=3.2.   Answer: 3.2 cm
Answer: E
20 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
Choose the correct choice:
A) 33.33	B) 34.01	C) 26.32	D) 28.33	E) 19.21

Solution: Explanation:   Let the two parts be (20 - x) and x.   Then, 10 (20 - x) + 22x = 780   => 12x = 580   => x = 48.33.   Bigger part = (20 - x) = 28.33.   Answer: 28.33) 28.3
Answer: D
Mixture V is 20% oil and 80% material B by weight. If 2 more kilograms of oil are added to the 8 kilograms mixture V, how many kilograms of mixture V must be added to make a 70% material B in the new mixture? Answers:  A) A)6  B) B)7  C) C)8  D) D)9  E) E)10

Solution: Can be done with weighted avg method.   if 2 kg more of oil is added to 20% oil of 8 kg mix,then a 10kg of mix will have 3.6kg (or 36%) of oil .   V1=20(initial mix.)   Avg. is what we need..ie 70% of material B means 30% of oil   V2=36(36% of 10 kg mix)   w1/w2=(V2-Avg)/(Avg-V1)   (36-30)/(30-20)   6/10   means for every 10 kg of new mix. we need 6 kg of mix V   6ns 6
Answer: A
Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?  Choose the correct option
A) 12, 9
B) 10, 5
C) 12, 7
D) 11, 6
E) 14, 3

Solution: Explanation:   x – y = 5   4x – 6y = 6   x = 12 y = 7   ANSWER IS 12, 7
Answer: C
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?  Choose the correct answer:
A) 5 : 1 B) 10 : 5 C) 15 : 2 D) 20 : 2 E) 25 : 2

Solution: Ratio of US to Indian stamps is 5:2   U/I = 5:2   = 25:10   ratio of Indian to British stamps is 5 : 1   I/B = 5:1   =10:2   Now , Ratio of US to British stamps   U/B = 25:2   Answer 25 : 2
Answer: E
What is the next number of the following sequence
1,3,4,5,1,9,16...
Options
A) 14  B) 25  C) 16  D) 17  E) 18

Solution: (1, 3 ,4,5) (1, 9, 16, x)   square of 1st group gives 2nd group   1^2 = 1   3^2 = 9   4^2 = 16   5^2 = 25   ANSWER:25
Answer: B
If a certain sample of data has a mean of 22.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?	Choose the correct choice:	A) 12.0	B) 13.5	C) 14.5	D) 23.5	E) 26.5

Solution: The standard deviation is 3. 2.5 standard deviations, which is just 2.5 x 3.0 is 7.5. The only answer more than 7.5 away from the mean is 14.5.
Answer: C
It takes John exactly 30 minutes to rake a lawn and it takes his son Todd exactly 60 minutes to rake the same lawn. If John and Todd decide to rake the lawn together, and both work at the same rate that they did previously, how many minutes will it take them to rake the lawn  Choose the correct answer
A) 16 B) 90 C) 36 D) 45 E) 20

Solution: 1)POE- John takes 30 min so if he takes help of someone else, it has to be less than 30 min..   only A and B are left..   if both do the work in 30 mis each, the combined time will be 15 mins, so 16 is slightly less when the other person does in 60 mins..   ans 20 20
Answer: E
A man buys 54 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent?	Select.
A) 7.6 %  B) 7.7 %  C) 16.21 %  D) 13.6 %  E) 7.8 %

Solution: Explanation:   Let Marked price be Re. 1 each   C.P. of 54 pens = Rs. 46   S.P. of 54 pens = 99% of Rs. 54= Rs. 53.46   Profit % = (Profit /16.21 %.P.) x 100   Profit% = (7.46/46) x 100 = 16.21 %   ANSWER: 16.21 %
Answer: C
A motorist travel to a place 150 km away at an average speed of 60 km/hr and returns at 30 km/hr.His average speed for the whole journey in km/hr is Answers
A) 36 km/hr	B) 37 km/hr	C) 40 km/hr	D) 44 km/hr	E) None of these

Solution: Explanation:   Average speed will be   2xy/x+y km/hr   = {2(60)(30)}/{60+30} km/hr   = 40 km/hr   Answer: Option 40 km/hr
Answer: C
Potatoes are made up of 99% water and 1% potato matter. Jack bought 100 pounds of potatoes and left them outside in the sun for a while. When he returned, he discovered that the potatoes had dehydrated and were now only made up of 98% water. How much did the potatoes now weigh?
Pick:
A) 50 lb	B) 80 pounds	C) 90 pounds	D) 100 pounds	E) 60 pounds

Solution: initially water weigh 99 pounds & patato matter weigh 1 pound.   after dehydration   water = 98%   => potato matter = 2% = 1 pound   100% = (1/2) * 100= 
(1/2) * 100 = 50
50 pounds   So, potato now weigh 50 pounds.   50 lbNSWER:50 lb
Answer: A
A room of 6m 20cm long and 5m 74cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.	Choose the correct choice from the following answers:
A) 88900	B) 87700	C) 88970	D) 88000	E) 89000

Solution: Explanation:   area of the room = 620 * 574 sq cm   size of largest square tile = H.C.F of 620cm and 574cm= 2cm   area of 1 tile = 2*2 sq cm   no. of tiles required = (620*574) / (2* 2)= 
(620*574) / (2* 2) = 88_970
88970   Answer: 88970) 88970
Answer: C
John has 5 flavors of chocolate in him shop. How many options are there for Jones to pick a one-flavor, two-flavor, three-flavor, four-flavor or five-flavor order? Choose the correct choice from the following.
A) 22	B) 31	C) 43	D) 37	E) 38

Solution: 5C1 + 5C2+ 5C3+5C4+5C5 = 31.   Answer: 31
Answer: B
A movie buff owns movies on DVD and on Blu-ray in a ratio of 7:2. If she buys 5 more Blu-ray movies, that ratio would change to 13:4. If she owns movies on no other medium, what was the original number of movies in her library before the extra purchase?  Choose the correct choice from the following answers
A) 22
B) 28
C) 77
D) 99
E) 351

Solution: if u can just keep an eye on the options   99 is the only multiple of 9 in options given .. SO you can mark it wid in seconds.   Now coming to the process m(D) = 7x and b(D) = 2x   now from the next line the new eqn becomes 7x/ (2x + 6) = 13/4   Solving it 28x = 26x + 78   x =39   which means m (d) = 273 and b(d) = 78   SO total initially is m(d) + b(d) = 351   351
Answer: E
A car covers a distance of 630 km in 6 ½ hours. Find its speed?
Choose one.
A) 105 kmph
B) 176 kmph
C) 298 kmph
D) 186 kmph
E) 268 kmph

Solution: 630/6= 
630/6 = 105
105 kmph   105 kmphnswer:105 kmph
Answer: A
What will be the compound interest on Rs. 35000 after 3 years at the rate of 12 % per annum  Choose the correct choice from the following choices:
A) Rs 13123.20 B) Rs 14103.48 C) Rs 12172.48 D) Rs 14172.48 E) None of these

Solution: Explanation:   (35000×(1+12/100)3)   =>35000×28/25×28/25×28/25   =>49172.48   So Compound interest will be   49172.48 - 35000= 
  49172.48 - 35000 = 14_172.48
Rs 14172.48   Option Rs 14172.48
Answer: D
If X boxes of mango juice cost 250 cents, how much will Y boxes cost in dollars?	Answers.
A) Y*2/x B) Y*2.6/x C) 2Y*2.5/x D) Y*2.5/x E) 3Y*2.5/x

Solution: X boxes of mango juice cost 250 cents or 2.5 dollars.   cost of mango juice = 2.5/x   Cost of Y mango juices = Y*2.5/x   Hence Answer : Y*2.5/x
Answer: D
root X+3=X root X+3 how many solution???	Choose the most appropriate option
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: root(x+3)=x root(x+3)   =>square both side   =>x+3=x2(x+3)   =>(x+3)(x2-1)   =>(x+3)(x+1)(x-1)   hence 3 solution is there   ANSWER:3
Answer: C
If xy=25, x/y=36, for positive numbers x and y, y=?
Choose the correct choice from the following options:
A) 1/2
B) 2
C) 1/3
D) 3
E) 5/6

Solution: Very easy question. 2 variables and 2 easy equations.   xy=25 ---> x=25/y - (i)   x/y=36 ---> replacing (i) here ---> 25/(y^2)=36 ---> y^2=25/36---> y=5/6 or -5/6   The question states that x and y are positive integers. Therefore, y=5/6 is the answer.   Answer 5/6.
Answer: E
Find the middle one when The sum of three consecutive even numbers is 36?	Select
A) 10  B) 12  C) 14  D) 16  E) 19

Solution: 3 consecutive numbers can be a - 1, a, a + 1   So sum of numbers = 3a = 36.   Hence a = 12.   12
Answer: B
Five kids were sharing out a box of candies. Amar took one-third, Babu took one-quarter,Chetan took one-fifth, and Dinakar took one-sixth. That left six candies as Shiva's share. Howmany candies were altogether? Select:
A) 100
B) 120
C) 140
D) 160
E) 180

Solution: let the total no of candies in a box= x   then aman took=x/3   babu took=x/4 and chetan took = x/5 and the remaining should be shiva's share   then   x-(x/3+x/4+x/5+x/6) =6 i.e 3x/60=6   therefore x=120   ANSWER:120
Answer: B
Suresh borrowed some money at the rate of 12% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of 11 years is Rs.8160, how much money did he borrow?  Choose the correct option
A) s.8500
B) s.6000
C) s.6800
D) s.9000
E) s.7000

Solution: using the formula S.I=P*T*R/100   (x*12*3/100)+(x*9*5/100)+(x*13*3/100)=8160   x=6800   i.e money borrowed is Rs.6800   ANSWER:s.6800
Answer: C
a batmans runs just before the last match of the season adds up750 in his last two innings his scores only 6 scores and his avg drop by 2 fond his final avg of the season?
Choose the correct choice from the following answers.
A) 21	B) 22	C) 23	D) 24	E) 25

Solution: Formula for this question is   6 = 2*avg-2(N+2)   6 = 2*(750/n) - 2(n+2)   n*n+5n-750 = 0   n= 25   so final ans 23   ANSWER:23
Answer: C
What is the sum of the different positive prime factors of 880?
Select:
A) 5	B) 10	C) 15	D) 18	E) 21

Solution: Prime factorization of 880   =88 * 10   =8*11 * 10   =2*4 * 2*5 * 11   =2* 2*2 * 2*5 * 11   =2^4 * 5 * 11   Sum of the different positive prime factors of 880 = 2+5+11= 
2+5+11 = 18
18   Answer 18
Answer: D
There are two positive numbers in the ratio 7:11. If the larger number exceeds the smaller by 16, then find the smaller number?  Pick one:  A) 25  B) 26  C) 30  D) 24  E) 28

Solution: Let the two positive numbers be 7x and 11x respectively.   11x - 7x = 16   4x = 16 => x = 4   => Smaller number = 7x = 28.   Answer: 28
Answer: E
If x is divisible by 3 and 4, which of the following must divide evenly into x?
I. 2
II. 38
III. 41
Pick one:
A) I only  B) I and II  C) II​ and III  D) II​ only  E) I, II, and III

Solution: If x is divisible by 3,4 means it will be = or > 12, 24,48 etc...   That are not divisible by 38, 41.   So, the answer is I only
Answer: A
X can give Y 100 meters start and Z 200 meters start in X kilometer race. How much start can Y give Z in X kilometer race?
Select the correct option
A) 112.2m B) 216.3m C) 111.12m D) 213.27m E) 222.40m

Solution: C   111.12 m   X runs 1000 m while Y runs 900 m and Z runs 800 m.   The number of meters that Z runs when Y runs 1000 m,   = (1000 * 800)/900 = 8000/9 = 888.88 m.   Y can give Z = 1000 - 888.88= 
1000 - 888.88 = 111.12
111.12 m.
Answer: C
Find the smallest number of 6 digits which is exactly divisible by 111. Choose the correct choice from the following:
A) 100011 B) 111111 C) 101111 D) 201111 E) 211111

Solution: Smallest number of 6 digits is 100000.   On dividing 100000 by 111, we get 100 as remainder.   Number to be added = (111 - 100) - 11.   Hence, required number = 100011   Option 100011
Answer: A
What is the product of all the possible values of x if x^2+5x+6?	Choose the correct choice from the following answers:
A) 12 B) 18 C) 15 D) 6 E) 9

Solution: Explanation:   => y= x^2+5x+6   => y= (x+2) (x+3)   => x= -2, x= -3   Product x = (-2)(-3) = 6   answer option 6   ANSWER:6
Answer: D
A goods bullet train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 seconds. What is the length of the goods bullet train? Choose the correct answer
A) 220m B) 250m C) 280m D) 210m E) 270m

Solution: 270m   270m
Answer: E
If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive Options
A) 233	B) 381	C) 900	D) 287	E) 271

Solution: Explanation:   Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6, and C =k/10 .   A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.   Hence, C's share (4650 * 6/31) = Rs, 900.   Answer: 900) Rs.900
Answer: C
A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?	Select:
A) 21 ½ days
B) 22 ½ days
C) 23 ½ days
D) 12 ½ days
E) None of these

Solution: Explanation:   1/18 + 1/30 = 8/90 = 4/45   45/4 = 11 ¼ *2 = 22 ½ days   Answer: 22 ½ days
Answer: B
the average weight of four pigs is 15 kg.weight less than 16 kg is considered as under weight.what maximum no. of pig can be under weight.
Options:
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: sum of all four pigs weigh=60kg   it is possible that all four pigs are underweight.   because the average is 15kg which itself underweight.   answer 4
Answer: E