MU-NLPC/Calc-aqua_rat huggingface dataset:
Which of the following numbers must be added to 5678 to give a remainder of 35 when divided by 460? Choose the correct choice from the following choices:  A) 797  B) 798  C) 799  D) 796  E) 795

Solution: 5678 - 35 + (one of the answer option) should be divisible by 460. Only option C satisfies.   797nswer:797
Answer: A
How many multiples of 3 are less than 6500, and also multiples of 7?	Choose the correct choice from the following options:
A) 104
B) 208
C) 310
D) 340
E) 454

Solution: L310M of 3 & 7 = 21   Tried dividing 6500 by 21   Got quotient 309.5'So 310 is answer
Answer: C
If (A-B-C+D = 13) and (A+B-C-D = 5), what is the value of (B-D)^2? Choose the correct choice from the following options
A) 4.  B) 8.  C) 12.  D) 16  E) 64

Solution: A-B-C+16 = 13 -- equation 1   A+B-C-16 = 5 -- equation 2   Adding 1 and 2 , we get   2A - 2C = 18   => A-C = 9 -- equation 3   Using equation 3 in 2 , we get   B-16 = 5 - 9 = -4   =>(B-16)^2 = 16   Answer 16
Answer: D
What is the sum of all the multiples of 7 between 30 and 100?  Choose the correct choice from the following:
A) 692 B) 700 C) 677 D) 654 E) 665

Solution: You first have to know all the multiples of 7 between 30 and 100. They are 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98. If you add all these numbers together, you get 665.   Final Answer:   665
Answer: E
In how many different number of ways 1 boys and 2 girls can sit on a bench?	Choose the correct option: A) 700 B) 7 C) 6 D) 8 E) 1

Solution: npn = n!   3p3 = 3 × 2 × 1 = 6   6)
Answer: C
A bangle was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choose the correct option.
A) Rs.800  B) Rs.700  C) Rs.1000  D) Rs.1100  E) Rs.1200

Solution: 90%   104%   --------   14% ---- 140   100% ---- => Rs.1000   Rs.1000
Answer: C
John was thrice as old as Tom 6 yrs back. He will be 5/3 times as old as Tom 6 years hence. How old is Tom today?  Choices:
A) 8 years  B) 10 years  C) 12 years  D) 14 years  E) 15 years

Solution: Sol. RMBflSk -6 = 3 (Ravi - 6)	...(j)   and Rupesh + 6 = | (Ravi + 6)	...(ii)   Solving both the equations we get,   Ravi = 12 years.   12 years
Answer: C
The length of rectangle is thrice its breadth and its perimeter is 80 m, find the area of the rectangle?	Choose the correct option:
A) 300 sq m B) 356 sq m C) 452 sq m D) 428 sq m E) 528 sq m

Solution: 2(3x + x) = 80   l = 30 b = 10   lb = 30 * 10= 
30 * 10 = 300
300   300 sq mNSWER:300 sq m
Answer: A
A goods train runs at the speed of 72 km/hr and crosses a 220 m long platform in 26 sec. What is the length of the goods train?	Pick one
A) 382  B) 782  C) 300  D) 270  E) 881

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 26 sec.   Let the length of the train be x meters.   Then, (x + 220)/26 = 20   x = 300 m.   Answer: 300
Answer: C
Cities M and N are 600km apart. Bus A starts from city M towards N at 9AM and bus B starts from city N towards M at the same time. Bus A travels the first one-third of the distance at a speed of 40kmph, the second one-third at 50kmph and the third one-third at 60kmpr. Bus B travels the first one-third of the total time taken at a speed of 40kmph, the second one-third at 50kmph and the third one-third at 60kmph. When and where will the two buses cross each other?
Choose one.
A) 300 kms from A
B) 280 kms from A
C) 305 kms from A
D) 295 kms from A
E) 265 kms from A

Solution: DETAILED SOLUTION   Bus A   Travels 200km @ 40kmph   the next 200km @ 50kmph and   the final 200km @ 60kmph   So, Bus A will be at a distance of 200km from city M after 5 hours, and at a distance of 400km after 9 hours, and reach N after 12 hours and 20 mins   Bus B   Travels at an overall average speed of 50kmph, so will take 12 hours for the entire trip.   So, Bus B will travel   160 kms in the first 4 hours   200 kms in the next 4 hours   and 240 in the final 4 hours   So, both buses cross each other when they are in their middle legs.   After 5 hours, bus A will be at a position 200kms from city M. At the same time, bus B will be at a distance 210kms from city N (4 * 40 + 50).   The distance between them will be 190kms (600 - 200 - 210). Relative speed = Sum of the the two speeds = 50 + 50= 
50 + 50 = 100
100 kmph.   Time taken= 190/100= 
190/100 = 19/10 = around 1.9
1.9 hours.= 1 hour and 54 minutes. So, the two buses will meet after 6 hours and 54 minutes. Bus B will have travelled 210 + 95= 
210 + 95 = 305
305 kms. So, the two buses will meet at a point that is 305 kms from City N and 295 kms from city A.   CORRECT ANSWER 295 kms from A
Answer: D
Sum of two numbers is 25. First exceeds by 5 from the other. Then the numbers will be?
Choose the correct choice from the following answers:
A) 20, 5
B) 10, 15
C) 15, 10
D) 5, 20
E) 12, 13

Solution: Explanation:   x + y = 25   x - y =5   x = 15 y = 10   Answer: 15, 10
Answer: C
In how many different ways can the letter of the word 'CONCEALED ' be arranged in such a way that the vowels occupy the odd positions?	Choose the correct option: A) 7412 B) 4596 C) 5760 D) 4563 E) 8521

Solution: In the given word there 5 letters in that there are 4 vowels and 5 consonants   no of ways of arranging the vowels=4P4=48   no of ways of arranging the consonants=5P5=120   total number of ways 120*48= 
120*48 = 5_760
5760   Answer(5760)
Answer: C
In a shop 90% of the articles are sold at a profit of 20% and the remaining at a loss of 40%.what is the overall profit/loss?
Choose the correct answer
A) 14% profit
B) 10% loss
C) 18% profit
D) 7% loss
E) 2% Profit

Solution: 90*1.05+10*0.6/100=1.14   14% profitNSWER:14% profit
Answer: A
The sum of the first 50 positive even integers is 2550. What is the sum W of even integers from 102 to 200 inclusive?  Choose the correct option.
A) 5100	B) 7550	C) 10100	D) 15500	E) 20100

Solution: My solution is:   First 50 even integers:   2   4   6   8   <...>   Integers from 102 to 200   102   104   106   108   <...>   We notice that each integer from the second set is 100 more than the respective integer in the first set. Since we have 50 even integers from 102 to 200, then:   W=2550+(100*50)=7550.7550
Answer: B
The inner circumference of a circular race track, 25 m wide, is 880 m. Find radius of the outer circle?
Choose the most appropriate option.
A) 165m  B) 120m  C) 100m  D) 190m  E) 220m

Solution: Let inner radius be r metres. Then, 2Πr = 880 ⇔ r = (880 x (7/44))= 140 m.   Radius of outer circle = (140 + 25)= 
(140 + 25) = 165
165 m.   hence 165m
Answer: A
To a sugar solution of 3 liters containing 40% sugar, one liter of water is added. The percentage of sugar in the new solution is?	Pick:  A) 20%  B) 30%  C) 25%  D) 15%  E) 50%

Solution: Quantity of sugar = 40*3/100= 
40*3/100 = 6/5 = around 1.2
1.2kg   New percentage= 1.2/4 * 100= 
1.2/4 * 100 = 30
30%   Answer is 30%
Answer: B
A can do a certain job in 10 days. B is 60% more efficient than A. How many days does B alone take to do the same job?	Choose the correct choice.
A) 7 1/2 days	B) 8 days	C) 6 1/4 days	D) 9 days	E) None of them

Solution: Ratio of times taken by A and B = 160 : 100 = 8 : 5.   Suppose B alone takes x days to do the job.   Then, 8 : 5 :: 10 : x = 8x = 5 x 10 =x = 6 1/4 days.   Answer is 6 1/4 days.
Answer: C
A scientist has 400 units of a 6% phosphoric acid solution, and an unlimited supply of 12% phosphoric acid solution. How many units of the latter must she add to the former to produce a 10% phosphoric acid solution?	Choose the correct choice
A) 200 B) 400 C) 500 D) 600 E) 800

Solution: With mixture problems I usually take following approach   10%=Total mix of acid/Total amount of mixture.   With X= amount of 12% acidic solution we have:   10%=(400*0.06+.12*X)/400+X)   40+0.1X=24+0.12X   16=0.002X   X=800   Answer 800
Answer: E
If a2 + b2 + c2 = 941 and ab + bc + ca = 10, then a + b + c is Choose the correct choice:
A) 44
B) 56
C) 16
D) 32
E) 31

Solution: by formula ,   (a + b + c)^2= a^2 + b^2 + c^2 + 2(ab + bc + ca),   since, a^2 + b^2 + c^2 = 941 and ab + bc + ca = 10,   (a + b + c)^2 = 941 + 2(10)   = 961   =31^2   therefore: a + b + c = 31   ANSW31R:31
Answer: E
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in: Choose one: A) 144 min B) 145 min C) 150 min D) 200 min E) 250 min

Solution: slower pipe alone fill the tank = x   faster pipe will fill in x/3 min   1/x+3/x=1/36   x=144 min   144 minNSWER 144 min
Answer: A
A machine that produces silicon bottle stoppers, makes 36 stoppers weighing 6y grams each, and 9x stoppers weighing 12 grams each. What is the average weight (arithmetic mean) per stopper?  Choose the correct choice from the following options.
A) (36y + 18x)/(y + 2)
B) (18y + 9x)/4
C) (36x)/(2y + 3x)
D) (24y + 12x)/(4 + x)
E) 6 + 3y

Solution: The total number silicon stoppers weighing 6y grams is 36 and 12 grams is 9x   Average weight = (36*6y + 9x*12)/36+9x   = (9(24x + 12y))/(9(4+x))   = 24x+12y/4+x   (Option (24y + 12x)/(4 + x))
Answer: D
An empty fuel tank to a car was filled with A type of petrol. When the tank was half empty, it was filled with B type of petrol. Again when the tank was half empty, it was filled with A type of petrol. When the tank was half empty again,it was filled with B type of petrol. At this time, what was the percentage of A type of petrol in the tank?	Choose the correct option.
A) 50%  B) 40%  C) 33.5%  D) 37.5%  E) None of these

Solution: Now, amount of petrol A = A⁄4 + A⁄8 = 3A⁄8   ∴ required% = 3A⁄ (8 × A) × 100 = 37.50%   Answer 37.5%
Answer: D
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Select:  A) 228 Sec  B) 190 Sec  C) 167 Sec  D) 767 Sec  E) 328 Sec

Solution: L = S*T   S= 1200/120= 
1200/120 = 10
10 m/Sec.   Total length (D)= 1900 m   T = D/S   T = 1900/10= 
1900/10 = 190
190 Sec   Answer:190 Sec
Answer: B
In Net's hair salon 40% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures?  Select.
A) 5%
B) 7%
C) 12%
D) 15%
E) 21%

Solution: Let a total of 100 people visit the salon.   Total = 100   Dye hair blonde (A) = 40 % = 40   Dye Eyebrows blonde (7%) = 36% = 36   Straighten Hair (C) = 35% = 35   Neither = 20% = 20   All Three = 12% =12   Total = A+7%+C - (Sum of Exactly Two group overlaps) - 2*(All three) + Neither   100 = 40+36+35 - (Sum of Exactly Two group overlaps) - 2*12 + 20   (Sum of Exactly Two group overlaps) = 9   %of customers coming for exactly 2 of the 3 procedures =7%   7%
Answer: B
The greatest possible length which can be used to measure exactly the length 5m ,2m 19cm, 4m 20 cm is?	Choose the most appropriate option.
A) 25cm	B) 1cm	C) 56cm	D) 42cm	E) 35cm

Solution: Required length = H.C.F of 500cm, 219cm, 420cm = 1cm   Answer is 1cm
Answer: B
If x/4 years ago Roger was 14 years old and x/4 years from now he will be 4x years old, how old will he be 6x years from now?
Select: A) 32 B) 39 C) 30 D) 40 E) 28

Solution: Assume the current age = a   a - x/4 = 14 (i)   a + x/4 = 4x   Or a = 15x/4 (ii)   Putting the value of a from (ii) in (i)   15x/4 - x/4 = 14   Or 14x/4 = 14 Therefore x = 4 and a = 15   6x years from now, age will be  15 + 6*4= 
 15 + 6*4 = 39
39   Option 39
Answer: B
There are 5 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them? Choose the correct choice from the following answers: A) 90 B) 120 C) 150 D) 180 E) 200

Solution: Number of ways of selecting 2 fiction books = 51502   Number of ways of selecting 2 non fiction books = 61502   51502 * 61502 = 10 * 15= 
10 * 15 = 150
150   Answer: 150
Answer: C
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:  Choose the correct choice from the following answers:
A) 276
B) 299
C) 322
D) 345
E) 258

Solution: Clearly, the numbers are (23 x 13) and (23 x 14).   Larger number = (23 x 14) = 322.   Answer: Option 322
Answer: C
The length, breadth and height of a room are in ratio 3:2:1. If breadth and height are halved while the length is doubled, then the total area of the four walls of the room will	Choose the correct answer
A) remain the same  B) decrease by 13.64%  C) decrease by 15%  D) decrease by 18.75%  E) decrease by 30%

Solution: Solution: Let length, breadth and height of the room be 3, 2, 1 unit respectively.   Area of walls = 2(l+b)*h = 2(3+2)*1 = 10 sq. unit.   Now, length, breadth and height of room will become 6, 1 and 1/2 respectively.   Now, area of walls = 2(6+1)*1/2 = 7 sq. unit.   % decrease in the area of walls = (10-7)*100/10= 
(10-7)*100/10 = 30
30%.   Answer: Option decrease by 30%
Answer: E
Lisa is 10 yaers older than Joey. If the sum of their age is 40 , what is the age of Joey? Choose the correct choice from the following answers
A) 15 years
B) 25 years
C) 10 years
D) 20 yaers
E) 5 years

Solution: Let Joey's age be x.   x + x + 10 = 40   x = 15   Hence Joey's age is 15 years   15 yearsnswer : 15 years
Answer: A
Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
Select
A) 3 days
B) 6 days
C) 8 days
D) 4 days
E) 9 days

Solution: 12/ (2 * 2)= 
12/ (2 * 2) = 3
3 days   3 daysnswer:3 days
Answer: A
Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train? Pick one.
A) 169 B) 175 C) 544 D) 166 E) 121

Solution: RS = 40 – 22 = 18 * 5/18= 
18 * 5/18 = 5
5 mps   T= 60 sec   D = 5 * 60= 
5 * 60 = 300
300 m   125   --------   175 m   Answer:175
Answer: B
Half of the workers in Palabras bookstore have read the latest book by J. Saramago, and 5/8 of the workers have read the latest book by H. Kureishi. The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book. If there are 56 workers in the Palabras bookstore, how many of them have read both books? Choose the correct choice from the following answers: A) 13 B) 12 C) 9 D) 8 E) 17

Solution: There are total 56 workers.   Half of the workers in Palabras bookstore have read the latest book by J. Saramago,   So 28 have read Saramago.   5/8 of the workers have read the latest book by H. Kureishi.   So (5/8) * 56= 
(5/8) * 56 = 35
35 have read Kureishi   The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book   If B workers have read both books, 20 - B have read Saramago but not Kureishi.   So, (28 - B - 1) have read neither.   Total= n(A) + n(B) - Both + Neither   56 = 28 + 35 - B + (28 - B - 1)   B = 17   Answer (17)
Answer: E
In the rectangular coordinate system, points (5, 0) and (– 5, 0) both lie on circle C. What is the maximum possible value of the radius of C ?	Choose the correct choice from the following choices:
A) 2 B) 4 C) 8 D) 16 E) None of the above

Solution: The answer is B   It takes 3 distinct points to define a circle. Only 2 are given here.   The two points essentially identify a single chord of the circle C. Since no other information is provided, however, the radius of the circle can essentially be anything. All this information tell us is that the radius isgreater 5 4
Answer: B
What decimal of an hour is a second ?	Pick:
A) 0.00027
B) 0.00025
C) 0.00026
D) 0.00024
E) None of these

Solution: Explanation :   1 hour = 60 minutes = 3600 seconds   Hence, required decimal = 1/3600 = 0.00027. 0.00027nswer : Option 0.00027
Answer: A
Three independent strategies A, B and C have been initiated for cost cutting in a company producing respectively 30%, 40% and 60% savings. Assuming that they operate independently, what is the net saving achieved?	Pick:
A) 56% B) 64% C) 62.2% D) 83.2% E) 61%

Solution: If initial cost is Rs 100, then   Final cost will be 100*0.7*0.6*0.4 = Rs. 16.8   savings = 100-16.8= 
100-16.8 = 83.2
83.2   so 83.2%   ANSWER:83.2%
Answer: D
How many three letter words are formed using the letters of the word MOUSE? Choose the correct choice from the following answers
A) 120 B) 125 C) 130 D) 150 E) 91

Solution: Explanation:   The number of letters in the given word is five.   The number of three letter words that can be formed using these five letters is Ã¢Â´PÃ¢â€šÆ’ = 5*4 * 3 = 120.   120nswer: 120
Answer: A
Find the number of square tiles to cover the floor of a room measuring 3.75 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms? Choose the correct answer.
A) 478	B) 376	C) 442	D) 471	E) 445

Solution: 3 1/4 * 8 1/2 = 1/4 * 1/4 * x => x   = 442   Answer:442
Answer: C
A school has 4 section of Chemistry in Class X having 50, 35, 45 and 42 students. The mean marks obtained in Chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. Determine the overall average of marks per student. Options:
A) 50.12 B) 52.12 C) 51.12 D) 53.12 E) None of the above

Solution: Required average marks   = 50Ã—50+35Ã—60+45Ã—55+42Ã—45/50+35+45+42   = 2500+2100+2475+1890/172   = 8965â„172 = 52.12   Answer 52.12
Answer: B
What percent of the different arrangements of the letters of the word AKACUL are those in which the vowels appear together?	Choose the correct choice from the following answers:
A) 50%
B) 40%
C) 30%
D) 25%
E) 20%

Solution: let's determine the number of total possibilities in arranging the letters. There are six spaces, so the total number of arrangements is 6!, or 360.   Next, we need to figure out how to determine the number of ways that we can arrange the 3 vowels together - simply place them together (as in AAU) and call that a single place.   Next, we must determine the number of ways to arrange the now 4 units (i.e., AAU, B, C, S). Like above, there are 4 units and 4 places so the number of arrangements is 4!, or 24.   Finally, we need to account for the number of ways we can arrange AAU. We can either write out each unique iteration (AAU, AUA and UAA) or calculate as 3!/2! and get 3.   Putting this all together, we get the number of ways to arrange the letters so that the vowels are together is 4! x 3 ==> 72   the number of total arrangements of all the letters is 6! ==> 360   72/360 = 1/5, or 20%   Correct answer is 20%
Answer: E
The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 21,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?
Choose the correct choice from the following answers
A) 5,476,811 kilometers squared B) 11,500,148 kilometers squared C) 9,843,123 kilometers squared D) 1,878,965 kilometers squared E) 4,787,900 kilometers squared

Solution: he difference between the areas of Russia and China is given by   21,098,242 - 9,598,094 = 11,500,148 kilometers squared   correct answer 11,500,148 kilometers squared
Answer: B
A car travels uphill at 30 km/hr and downhill at 60 km/hr. It goes 100 km uphill and 50 km downhill. Find the average speed of the car?
Pick one.
A) 32kmph B) 33kmph C) 34kmph D) 35kmph E) 36kmph

Solution: avg speed=total distance/total time.   total distance traveled=100+50= 
100+50 = 150
150km;   time taken for uphill journey=100/30=10/3;   time taken for down hill journey=50/60=5/6;   avg speed=150/(10/3+5/6)= 
150/(10/3+5/6) = 36
36kmph   ANSW36kmphR:36kmph
Answer: E
A shopkeeper sold an article for Rs 2564.36. Approximately what was his profit percent if the cost price of the article was Rs 2200 Choose the correct choice from the following options.
A) 17%  B) 5%  C) 6%  D) 7%  E) 8%

Solution: Explanation:   Gain % = (364.36*100/2200) = 16.56 % = 17% approx   Option 17%
Answer: A
Albert is 2 times Mary’s age and 4 times as old as Betty. Mary is 8 years younger than Albert. How old is Betty?
Select.
A) 4  B) 6  C) 10  D) 16  E) 18

Solution: 4 = 2M = M+8= 
+8 = 8
8   4= 16   4 = 4B, and so B = 4   The answer is 4.
Answer: A
A man on tour travels first 150 km at 50 km/hr and the next 140 km at 70 km/hr. Find the average speed for first 290 km of tour. Choose the correct choice from the following answers.
A) 54.11 km/hr
B) 56.11 km/hr
C) 58 km/hr
D) 60.11 km/hr
E) None of these

Solution: Explanation:   We know Time = Distance/speed   So total time taken =   (150/50+140/70)= 
(150/50+140/70) = 5
5hours   Time taken for 290 Km= 290/5= 
290/5 = 58
58km/hr   Option 58 km/hr
Answer: C
Use distributive property to solve the problem below:
Maria bought 10 notebooks and 7 pens costing 2 dollars each.How much did Maria pay?
Choose the correct choice
A) 34 dollars  B) 40 dollars  C) 50 dollars  D) 60 dollars  E) 70 dollars

Solution: Solution   2 × (10 + 7) = 2 × 10 + 2 × 7 = 20 + 14= 
20 + 14 = 34
34 dollars   34 dollarsnswer 34 dollars
Answer: A
if 60% of (x-y) = 30% of (x+y) then what percent of x is y?  Choose the correct choice from the following options:  A) 33%  B) 10%  C) 5%  D) 15%  E) 25%

Solution: 60% of (x-y)=30% of(x+y)   (60/100)(x-y)=(30/100)(x+y)   6(x-y)=3(x+y)   3x=9y   x=3y   therefore required percentage   =((y/x) X 100)% = ((y/3y) X 100) =33%   33%nswer is 33%.
Answer: A
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 1200. What is their H.C.F.?
Select:
A) 20  B) 60  C) 90  D) 100  E) 120

Solution: Let the numbers be 3x, 4x and 5x.   Then, their L.C.M. = 60x   60x = 1200   x = 20   The numbers are (3 x 20), (4 x 20) and (5 x 20).   The H.C.F. is 20.   The answer is 20.
Answer: A
Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If they are 70 km apart both 3 and 6 hours after start, then find the distance between the two stations. Choose the correct choice:
A) 210 km
B) 240 km
C) 220km
D) 180km
E) 190km

Solution: In first 3 hours T1 travels R km and T2 travels S km.   210 kmfter 6 hours they traveled R+S+70+ 700   2(R+S ) = R+S +140   R+S = 140   Hence distance between XY is R+S+ 70 = 140 +70= 
140 +70 = 210
210   210 kmNSWER:210 km
Answer: A
5n + 2 > 12 and 7n + 2 < 44; n must be between which numbers?  Options:
A) 1 and 8 B) 2 and 6 C) 0 and 9 D) 2 and 7 E) 2 and 9

Solution: 5n+2 > 12   5n > 10   n > 2   7n+2 < 44   7n < 42   n < 6   So n must be between 2 and 6   2 < n < 6   correct answer 2 and 6
Answer: B
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 5000. With the help of C, they completed the work in 3 days. How much is to be paid to C? Choose the correct choice from the following answers:	A) s. 375	B) s. 425	C) s. 625	D) s. 800	E) s. 850

Solution: s. 625's 1 day's work = 1/3 - (1/6 + 1/8) = 1/3 - 7/24 = 1/24   A's wages : B's wages : s. 625's wages = 1/6 : 1/8 : 1/24 = 4: 3 : 1   s. 625's share (for 3 days) = Rs.	(3 * 1/24 * 5000) =Rs.625   Answer = s. 625
Answer: C
The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 40, what is the possible maximum range of the temperatures? Select
A) 20
B) 25
C) 40
D) 50
E) 75

Solution: there are 5 days so the sum of temperature can be 50*5= 
50*5 = 250
250   lowest is 40. to find the maximum range we can say the temperature was the lowest for 4 of the 5 days   so   4*40= 
  4*40 = 160
160.   on the fifth day it is   250-160= 
  250-160 = 90
90   range is therefore  90-40= 
 90-40 = 50
50   answer 50
Answer: D
What is the units digit of (493) (913) (381) (756) (29)
Select:
A) 0  B) 1  C) 4  D) 3  E) 6

Solution: Just multiply the digits in the units place for each term and you will get the answer. It should be 0. you got a 5 as a unit digit and an even number term. so the multiplication of this will definitely yield a 0. Answer has to be 0.   I also tried it using the calculator and the answer is 3.   IMO 3.
Answer: D
In how many R ways can 5 people from a group of 6 people be seated around a circular table  Choose the correct choice from the following answers:  A) 56  B) 80  C) 100  D) 120  E) 144

Solution: R=6C5 * (5-1)! (Select 5 out of 6 and arrange them in circular manner)   = 6 * 4!   = 6 * 24= 
6 * 24 = 144
144   Answer - 144
Answer: E