MU-NLPC/Calc-aqua_rat huggingface dataset:
A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?  Pick: A) 15 m,15 m B) 15 m,90 m C) 16 m,10 m D) 15 m,10 m E) 15 m,30 m

Solution: lb = 150   2(l + b) = 50 => l + b = 25   l – b = 5   l = 15 b = 10   Answer:15 m,10 m
Answer: D
P and Q are the only two applicants qualified for a short-term research project that pays 420 dollars in total. Candidate P has more experience and, if hired, would be paid 50 percent more per hour than candidate Q would be paid. Candidate Q, if hired, would require 10 hours more than candidate P to do the job. Candidate P’s hourly wage is how many dollars greater than candidate Q’s hourly wage?	Choose the correct choice from the following answers:
A) $3 B) $5 C) $7 D) $9 E) $11

Solution: Let Q's hourly wage be x, then P's hourly wage is 1.5x   Let T be the number of hours that Q needs, then P needs T-10 hours to do the job.   Since they both are paid an equal total amount of $420:   x*T=1.5x*(T-10)   T = 30 hours and Q's hourly wage is 420/30= 
420/30 = 14
$14   P's hourly wage is 420/(T-10)= $21 which is $7 per hour more.   The answer is $7.
Answer: C
Complete the series 20, 19, 17, ...., 10, 5 Select the correct option.
A) 2 B) 3 C) 5 D) 7 E) 9

Solution: 20 - 1= 
20 - 1 = 19
19   19 - 2= 
19 - 2 = 17
17   17 - 3= 
17 - 3 = 14
14   14 - 4= 
14 - 4 = 10
10   10 - 5= 
10 - 5 = 5
5   Answer is 5.
Answer: C
A box contains either blue or red flags. The total number of flags in the box is an even number. A group of children are asked to pick up two flags each. If all the flags are used up in the process such that 60% of the children have blue flags, and 50% have red flags, what percentage of children have flags of both the colors?	Choose the correct choice from the following: A) 5% B) 10% C) 15% D) 20% E) It can not be determined

Solution: Solution: let the total number of flags be 100(even number)   let the total number of 'blue' flags alone be 'a'   let the total number of 'red' flags alone be 'b'   let the total number of 'both' flags be 'c'   We have given,   total number of blue flags = 60% = 60 = a+c   total number of red flags=50%=50=b+c   total number of flags = a+b+c=100 (since all the flags have been utilized)   So, substituting for c in the third equation, we have,   60-c+c+50-c=100   c=10   Option 10%.
Answer: B
A car is 15 minutes late by running at a speed of 4/5th of its actual speed. The actual time taken by the car to cover that distance is:
Select.
A) 30 minutes
B) 1 hour
C) 2 hours
D) 3 hours
E) None of these

Solution: Explanation :   New speed=4/5th of its actual speed   New time=5/4th of its actual time   => 5/4t-t=15/60=1/4   => 1/4t=1/4   => t=1hour   Answer : 1 hour
Answer: B
Revenues were recorded for Store A and Store B over a period of three months. In the first month, Store A's revenues were $45,000 higher than Store B's revenues. In the second month, Store A's revenues were $8,000 higher than Store B's revenues. If Store A's average (arithmetic mean) monthly revenue for the three months was $2,000 greater than Store B's average monthly revenue, then Store B's revenue in the third month was how much greater than Store A's revenue?  Choose the correct choice from the following answers:  A) $14,000  B) $15,000  C) $42,000  D) $47,000  E) $50,000

Solution: Answer: CIt may be tempting to come up with a lot of variables, one each for each month's revenue for each company. However, focus on the differences. In the first month, the difference was +45 in favor of A. (Note that we can drop the thousands since every number in the question is in terms of thousands.) In the second, the difference was +8 in favor of A. The average was +2 in favor of A. With these numbers, use the average formula to find the third month (T):   (45 + 8 + T)/3 = 2   53 + T = 6   T = -47   Since positive numbers indicate a difference in favor of A, negative numbers are in favor of B. -47 represents a $47,000 advantage in favor of Store B. Choice ($47,000) is correct.
Answer: D
Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The age of Rajan's sister is: Select the correct option: A) 32 years B) 36 years C) 38 years D) 40 years E) 45 years

Solution: Explanation:   Let Rajan's present age be x years.   Then, his age at the time of marriage = (x - 8) years.   x = 6/5 (x - 8)   5x = 6x - 48 => x = 48   Rajan's sister's age at the time of his marriage = (x - 8) - 10 = 30 years.   Rajan's sister's present age = (30 + 8)= 
(30 + 8) = 38
38 years.   ANSWER IS 38 years
Answer: C
A train running at the speed of 20 m/s crosses a pole in 24 sec less than the time it requires to cross a platform thrice its length at the same speed. What is the length of the train?  Select the correct option
A) 150 m  B) 200 m  C) 180 m  D) 160 m  E) 170 m

Solution: Let the length of the train be x m.   So, the length of the platform = 3x m.   Time taken in crossing the platform = 4x/20sec   Time taken in crossing the pole = x/20 sec   â‡’x/20+24=4x/20   x = 160 m   Answer : 160 m
Answer: D
Grass in lawn grows equally thick and in a uniform rate. It takes 24 days for 70 cows and 60 days for 30 cows to eat the whole of the grass. How many cows are needed to eat the grass in 96 days.?	Choose the correct choice from the following answers:
A) 17
B) 18
C) 19
D) 20
E) 22

Solution: g= grass initially, r= rate at which grass grow/day, c= cow eat grass/day   g+24r=70*24= 
70*24 = 1_680
1680c-----------1   g +60= 
 +60 = 60
60*30= 
60*30 = 1_800
1800c--------->g=1800c-60r----------------2   by solving this 2 equation we have relation c=(3/10)r-------------3   g +96= 
 +96 = 96
96nc=>96nc=1800c-60r+96r=1800c+36r=1800c+120c=1920c   1800 +120= 
1800 +120 = 1_920
1920c=>n=20   ANSWER:20
Answer: D
How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 3?	Choose the correct answer:
A) 10  B) 11  C) 12  D) 13  E) 14

Solution: 14   To be divisible by three the sum of the digits must be divisible by 3. Highest number made by these digits is 75 that is divisible. We count down the selections from there and see what is feasible.   75-yes   72 -yes   69 and 66 -no   63 - yes   60 -no   57, 54, and 51 -yes   48 - no   45 and 42 - yes   39 - no   36 - yes   33 and 30 - no   27, 24, and 21 - yes   18 -no   15 and 12 yes   Correct answer is 14.
Answer: E
A store owner estimates that the average price of type A products will increase by 40% next year and that the price of type B products will increase by 10% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?	Answers:	A) $14,755	B) $15,430	C) $16,000	D) $16,225	E) $17,155

Solution: cost of type A products next year = 1.40 * 4500= 
1.40 * 4500 = 6_300
6300   cost of type $15,430 products next year= 1.1 * 8300= 
1.1 * 8300 = 9_130
9130   total 6300 + 9130= 
6300 + 9130 = 15_430
15430 option $15,430
Answer: B
Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
Pick one.
A) 7 B) 10 C) 12 D) 5 E) 14

Solution: 10
Answer: B
The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize o n atleast one ticket is?	Choose the correct choice
A) 0.5919	B) P(E)=0.5904	C) 0.5929	D) 0.5928	E) 0.594

Solution: P(winning prize atleast on one ticket)   = 1 - P("Losing on all tickets")   = 1 - (0.8)4 = (1 + (0.8)2)(1 - (0.8)2)   = (1.64)(0.36) = 0.5904   Answer: P(E)=0.5904
Answer: B
A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
Choose the correct choice from the following choices: A) 1750 B) 1900 C) 8600 D) 10300 E) 1200

Solution: Explanation:   65 * 6 : 84 * 5 : 100 * 3   26:28:20   C share = 74000 * 95/100 = 7030 * 20/74= 
7030 * 20/74 = 1_900
> 1900   ANSWER IS 1900
Answer: B
What is the sum of the greatest common factor and the lowest common multiple of 12 and 48?	Choose the correct option:	A) 20	B) 60	C) 40	D) 56	E) 20

Solution: Prime factorization of 12 = 2 x 2 x 3   Prime factorization of 48 = 2 x 2 x 2 x 2 x 3   GCF = 12   LCM = 48   Sum = 60   Ans: 60
Answer: B
The dimensions of an open box are 50 cm, 40 cm and 23 cm. Its thickness is 2 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box.  Choose the correct answer:
A) 8.04kg
B) 8.14kg
C) 8.24kg
D) 9.04kg
E) None of these

Solution: Explanation:   Volume of the metal used in the box = External Volume - Internal Volume   = [(50 x 40 x 23) - (44 x 34 x 20)] cm3   = 16080 cm3   Weight of the metal =[(16080 x 0.5)/1000] kg = 8.04 kg.   8.04kgnswer: 8.04kg
Answer: A
What is the average of first 21 multiples of 7 ?
Select
A) 67
B) 69
C) 77
D) 79
E) 81

Solution: Required average = 7(1+2+....+21) / 21   (7/21)X ( (21x22) / 2 ) (because sum of first 21 natural numbers)   = 77   77
Answer: C
A room 14 m 21 cm long and 7m 77 cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor. Choices.
A) 22636  B) 22640  C) 22647  D) 22533  E) 22675

Solution: Explanation:   Area of the room = (1421 x 777) cm2.   Size of largest square tile = H.C.F. of 1421 cm and 777 cm = 7 cm.   Area of 1 tile = (7 x 7) cm2.   Number of tiles required =(1147×777)/(7×7)=22533   Answer: Option 22533
Answer: D
The ratio of male to female in a class is 4:6. the career preference of the students in the class are to be represented in a circle graph. If the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one third of the males and two-third of the females in the class?
Choose the correct option:
A) a)160 degree
B) b) 168 degree
C) c)191 degree
D) d)192 degree
E) e)204 degree

Solution: here is my approach => males => 3x and females =7x => total =10x   now 10x=> 360   therefore 17x/3 => 204 degree .   P.S => 17x/3 is nothing but total number of students with the given preference   Answer e)204 degree
Answer: E
In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is	Choose the correct choice from the following answers.
A) 86	B) 90	C) 92	D) 94	E) 96

Solution: Divisor = (6 * 3) + 2= 
(6 * 3) + 2 = 20
20   5 * Quotient= 20   Quotient = 4.   Dividend = (Divisor * Quotient) + Remainder   Dividend = (20 * 4) + 6= 
(20 * 4) + 6 = 86
86.   86
Answer: A
The speed at which a girl can row a boat in still water is 30 kmph. If she rows downstream, where the speed of current is 6 kmph, what time will he take to cover 240 metres? Choose the most appropriate option:
A) 21	B) 22	C) 23	D) 20	E) 24

Solution: Speed of the boat downstream = 30 + 6= 
30 + 6 = 36
36 kmph= 36 * 5/18= 
36 * 5/18 = 10
10 m/s   Hence time taken to cover 240 m= 240/10= 
240/10 = 24
24 seconds.   Answer: 24
Answer: E
Linda and Angela contract to paint a neighbor's house. Even though Linda spends 60% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ?
Choose the correct choice from the following options:
A) 1/2 m  B) 1/3 m  C) 1/4 m  D) 1/5 m  E) 1/6 m

Solution: After the final transaction:   Angela received $(m-n) for t hours;   Linda received $(m+n) for 1.5t hours;   We are told that after that transaction they received the same compensation per hour: (m-n)/t=(m+n)/1.5t --> 1.5m-1.5n=m+n -->m=5n --> n=m/4.   Answer: 1/4 m
Answer: C
Teja can do a piece of work in 15 days .Ravi is 20% is more efficient than sakshi. the number of days taken by Tanya to do the same piece of work is?	Choose the correct choice.
A) 17 days B) 25 days C) 12 days D) 15 days E) 20 days

Solution: The ratio of times taken by Teja and Ravi=120:100=6:5   suppose Teja takes x days to do the work.   6:5::20:x   x=(5*20)/6 work in 17 days   17 daysnswer(17 days)
Answer: A
During a certain two-week period, 64 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 5 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?  Answers.
A) 10A	B) 12A	C) 14A	D) 16A	E) 18A

Solution: Total movies = 100.   Comedies = 64.   Action + Drama = 36. Since there were 5 times as many dramas as action movies, then Action + 5*Action = 36 --> Action = A = 6.   Comedies = 60 = 10A.   10A
Answer: A
In a party every person shakes hands with every other person. If there are 105 hands shakes, find the number of person in the party Select the correct option
A) 14
B) 12
C) 13
D) 15
E) 16

Solution: Let n be the number of persons in the party. Number of hands shake = 105; Total number of hands shake is given by nC2.   Now, according to the question,   nC2 = 105;   Or, n!/[2!*(n-2)!] = 105;   Or, n*(n-1)/2 = 105;   Or, n2-n = 210;   Or, n2-n-210 = 0;   Or, n = 15, -14;   But, we cannot take negative value of n.   So, n = 15 i.e. number of persons in the party = 15.   ANSWER 15
Answer: D
What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the second?	Answers:
A) 1245	B) 1340	C) 1349	D) 1450	E) 1540

Solution: First digit is 1/3 second digit => The numbers can be 1 & 3, 2& 6, 3 & 9.   First + second = third => we can eliminate 3 & 9 since  3 + 9= 
 3 + 9 = 12
12.   Last is 3 times the second=> we can eliminate option 2 & 6 since  3 * 6= 
 3 * 6 = 18
18.   Hence the number is 1349   1349
Answer: C
The population of a town increased from 1,62,500 to 2,62,500 in a decade. The average percent increase of population per year is :
Options:
A) 4.37% B) 5% C) 6.154% D) 8.75% E) None of these

Solution: Solution   Increase in 10 year= (262500 - 162500)= 
(262500 - 162500) = 100_000
100000.   Increase%=( 100000/162500x 100 )% = 61.54%   âˆ´ Required average = ( 61.54/10 )= 
( 61.54/10 ) = 6.154
6.154%   Answer 6.154%
Answer: C
A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?	Choose the correct choice from the following:
A) 4 ½ sec
B) 7 ½ sec
C) 9 ½ sec
D) 8 ½ sec
E) 2 ½ sec

Solution: 8 ½ sec = 170   S = 72 * 5/18= 
72 * 5/18 = 20
20 mps   T= 170/20 = 8 ½ sec   Answer:8 ½ sec
Answer: D
A man goes 10 km against the current of the stream in 5 hr and goes 5 km along the stream in 1hour. How long will it take to go 5 km in stationary water?  Choose the correct choice from the following.
A) 1hr 30min B) 1hr 12min C) 2hr D) 2hr 15min E) 3hr

Solution: Speed up stream = 10/5= 
10/5 = 2
2 km/hr   Speed down stream= 5/1= 
5/1 = 5
5 km/hr   Speed in still water= 1/2(2+5) = 7/2= 
7/2 = 7/2 = around 3.5
3.5 km/hr   Time taken to travel 5 km in still water is= 5/7/2 = 10/7 = 1hr 12min   Answer is 1hr 12min
Answer: B
A rectangular floor is covered by a rug except for a strip X meters wide along each of the four edge. If the floor is L meters by B meters, what is the area of the rug in square meters?	Choose the correct choice from the following answers: A) (L-2X)(B-2X)/2 B) 2*(L-2X)(B-2X) C) (L-2X)(B-2X)/3 D) (L-2X)(B-2X) E) (L-2X)(B-2X)/4

Solution: A strip of X meters is covering the inner rectangular rug for all 4 sides.   Length of inner rug = L-(2X)   breadth of inner rug= B-(2X)   Area of Rug= (L-2X)(B-2X)   Ânswer: (L-2X)(B-2X)
Answer: D
How many multiples of 4 are there between 64 and 256 ?
Select.
A) 47	B) 49	C) 42	D) 41	E) 40

Solution: It should be mentioned whether 64 and 256 are inclusive.   If 64 and 256 are inclusive, then the answer is   (256-64)/4+1= 
  (256-64)/4+1 = 49
49.   If 64 and 256 are NOT inclusive, then the answer is   (252-68)/4+1= 
  (252-68)/4+1 = 47
47.   Since O47 is 47, then we have NOT inclusive case.
Answer: A
Of the 1000 inhabitants of a town, 60 % are males of whom 120 % are literate. If, of all the inhabitants, 25% are literate, then what percent of the females of the town are literate ?	Choose one:
A) 32.5 %  B) 32.9 %  C) 92.5 %  D) 38.5 %  E) 37.5 %

Solution: Explanation:   Number of males = 60% of 1000 = 600. Number of females = (1000 - 600)= 
(1000 - 600) = 400
400.   Number of literates= 25% of 1000 = 250.   Number of literate males = 20% of 600 = 120.   Number of literate females = (250 - 120)= 
(250 - 120) = 130
130.   Required pecentage= (130/400 * 100 )= 
(130/400 * 100 ) = 65/2 = around 32.5
32.5 %.   32.5 %nswer: 32.5 %) 32.5 %
Answer: A
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Pick one.
A) 45 B) 44 C) 64 D) 63 E) 92

Solution: Explanation:   Let the capacity of the can be T litres.   Quantity of milk in the mixture before adding milk = 4/9 (T - 8)   After adding milk, quantity of milk in the mixture = 6/11 T.   6T/11 - 8 = 4/9(T - 8)   10T = 792 - 352 => T = 44.   Answer: Option 44
Answer: B
a = 7^15 - 625^3 and a/x is an integer, where x is a positive integer greater than 1, such that it does NOT have a factor p such that 1 < p < x, then how many different values for x are possible?	Choose one:
A) None  B) One  C) Two  D) Three  E) Four

Solution: This is a tricky worded question and I think the answer is should be D not C...   Here is my reason :   The stem says that x is a positive integer such that has no factor grater than 2 and less than x itself . The stem wants to say that X is a PRIME NUMBER . because any prime   Number has no factor grater than 1 and Itself .   On the other hand the stem says that X COULD get how many different number NOT MUST get different number ( this is very important issue )   AS our friends say, if we simplify Numerator more we can obtain : 5^12 ( 5^3-1) = 5^12 (124) = 5^12 (31*2*2) divided by x and we are told that this fraction is   An integer . so, X COULD Be ( not Must be) 5 , 31 ,or 2 !!! so , X could get 4 different values and answer is Four....
Answer: E
Find the principle on a certain sum of money at 5% per annum for 6 years if the amount being Rs.1120?
Choose the correct choice.
A) 862	B) 1067	C) 1977	D) 1056	E) 1097

Solution: 1120 = P [1 + (5*6)/100]   P= 862   862nswer: 862
Answer: A
A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 4 months and 7 months respectively. What was the ratio of their investments? Choose the correct choice:	A) 10:12:14	B) 12:24:28	C) 20:22:12	D) 10:49:32	E) None of these

Solution: Explanation :   Ratio in which A,B and C shared the profit = 5 : 7 : 8   Assume that the ratio of their investment = a:b:c   Then 14a : 4b : 7c = 5 : 7 : 8   Good to go, we got the equation. Now it's a matter of time to find a, b and c   14a/4b = 5/7   => 98a = 20b   => b = 98a/20 = 49a/10 ---(1)   14a/7c =5/8   => 2a/c =5/8   => 16a = 5c   => c = 16a/5 ---(2)   a : b : c = a : 49a/10 : 16a/5 = 1 : 49/10 : 16/5 = 10 : 49 : 32. Answer : Option 10:49:32
Answer: D
Sunday
Monday
Tuesday
Wednesday
Thursday
What day comes three days after the day which comes two days after the day which comes immediately after the day which comes two days after Monday?  Choose the most appropriate option
A) Sunday  B) Monday  C) Tuesday  D) Wednesday  E) Thursday

Solution: Tuesday   Tuesday
Answer: C
A fill pipe can fill 1/2 of cistern in 15 minutes. In how many minutes, it can fill 1/2 of the cistern? Choose the most appropriate option:  A) 1 min  B) 5 min  C) 10 min  D) 15 min  E) 20 min

Solution: Required time = 15*2*1/2= 
15*2*1/2 = 15
15 minutes   Answer is 15 min
Answer: D
10^185 - 10^10 = Which of the following best approximates the value of the expression above?  Pick one:
A) 10^180	B) 10^185	C) 10^179	D) 10^170	E) 10^160

Solution: 10^185 - 10^10 =   Which of the following best approximates the value of the expression above?   Yes, answer 10^185 is correct. Note that we need approximate value of the given expression and as 10^(185) is much larger number than 10^(10) then 10^(10) is pretty much negligible in this case: 10^(185)-10^(10)=~10^(185).   Answer : 10^185
Answer: B
Replace the ? with the appropriate number
1 , 4 , 5 , 6 , 7 , 9 , 11 ?
Pick:
A) 488
B) 123
C) 234
D) 100
E) 589

Solution: 100   list of consecutive numbers that does not contain a 'T' in the spelling
Answer: D
jim and Beth each drove from Smallville to Crown City by different routes. jim drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than jim to complete the trip. How many miles per hour was Beth's average speed on this trip?	Choose the most appropriate option
A) 24  B) 30  C) 48  D) 54  E) 75

Solution: Speed = Distance/Time   Distance for jim = Speed * Time = 40 * 1/2= 
40 * 1/2 = 20
20 miles   Distance for 30eth= Distance for jim +5 = 20+5= 
20+5 = 25
25 miles   Time taken by 30eth= Time taken by jim + (1/3 hour) = 1/2+1/3 = 5/6   Speed of 30eth = D/T = 25/(5/6) = 25*6/5= 
25*6/5 = 30
30 miles per hour   Hence, 30 is the answer.
Answer: B
The ratio between the length and the breadth of a rectangular plot is 7 : 5. If the perimeter of the plot is 144 metres, what is its area?
Options
A) 1320 sq.metres  B) 1260 sq.metres  C) 1280 sq.metres  D) 1380 sq.metres  E) None of these

Solution: Let the length and breadth be 7x and 5x respectively.   Then, P = 2(7x + 5x) = 144 ⇒ x = 6   Area = 7 × 6 × 5 × 6 = 1260 sq.m.   Answer 1260 sq.metres
Answer: B
If f is a function defined for all k by f(k) = k^(2/3)/16, what is f(8 k) in terms of f(k)?	Pick one
A) 1/8 f(k)  B) 5/8 f(k)  C) 4 f(k)  D) 10 f(k)  E) 32 f(k)

Solution: f(k) = (k^(2/3)) /16   f(8 k) = (8 k)^( 2/3)/16 = 4 k^(2/3)/16 = 4 * (k^(2/3)/16) =4 f(k).   So answer is 4 f(k).
Answer: C
A train ,135 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is Choose the most appropriate option:  A) 270 m  B) 245 m  C) 235 m  D) 220 m  E) 240 m

Solution: 240 mxplanation:   Assume the length of the bridge = x meter   Total distance covered = 135+x meter   total time taken = 30s   speed = Total distance covered /total time taken = (135+x)/30 m/s   => 45 Ã— (10/36) = (135+x)/30   => 45 Ã— 10 Ã— 30 /36 = 135+x   => 45 Ã— 10 Ã— 10 / 12 = 135+x   => 15 Ã— 10 Ã— 10 / 4 = 135+x   => 15 Ã— 25 = 135+x = 375   => x = 375-135= 
375-135 = 240
240   Answer: Option 240 m
Answer: E
Cathy's Catering business is catering a party. She is delivering food that is 1/6 sandwiches, 1/4 salads, 1/6 chips, 1/8 deserts, 1/8 snacks, and the rest drinks. If Cathy dropped the deserts on the way to the party and decides to stop and buy more snacks to make up for it, by doubling the snacks, what proportion of the food is snacks now? Choose the correct choice
A) 5/29
B) 1/8
C) 5/16
D) 1/2
E) 1/4

Solution: Sandwiches = 1/6 = 4/24   Salads = 1/4 = 6/24   Chips = 1/6 = 4/24   Deserts = 1/8 = 3/24   Snacks = 1/8 = 3/24   Drinks = 1 - (20/24) = 4/24   Now: Deserts = 0/24   If Snacks doubled => (2)(3/24) = 6/24; then, total = 24   and 6 is now snacks => proportion = 6/24.   Answer: 1/4
Answer: E
A number when divided by 100 leaves 11 as a remainder. What will be the remainder if the number is divided by 11?	Choose the correct choice from the following options:
A) 11	B) 1	C) 2	D) 3	E) 21

Solution: Let 100+11= 
100+11 = 111
111   111 divided evenly by eleven leaves a remainder of one.   Correct answer is 1.
Answer: B