MU-NLPC/Calc-aqua_rat huggingface dataset:
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?	Select the correct option.
A) 25 sec B) 40 sec C) 30 sec D) 60 sec E) 50 sec

Solution: Let length of tunnel is x meter   Distance = 800+x meter   Time = 1 minute = 60 seconds   Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s   Distance = Speed*Time   800+x = (65/3) * 60   800+x = 20 * 65= 
20 * 65 = 1_300
1300   x= 1300 - 800= 
1300 - 800 = 500
500 meters   ANSWER 30 sec
Answer: C
Cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 5 to 7 to 8. If a total of 360 sandwiches were made, how many Cheese sandwiches
were made?  Choose the correct choice from the following choices.
A) 15  B) 30  C) 90  D) 42  E) 48

Solution: For deciding such task we should calculate all parts 5 + 7 + 8= 
5 + 7 + 8 = 20
20 parts   and we should calculate how many sandwiches holds 1 part:   360 / 20= 
360 / 20 = 18
18 sandwiches in one part   For cheese we have 5 parts so:    5 * 18= 
 5 * 18 = 90
90   Answer is 90
Answer: C
If |20x-10| = 130, then find the product of the values of x?
Choose the correct choice from the following:
A) -45  B) 50  C) -42  D) 35  E) -30

Solution: |20x-10| = 130   20x-10 = 130 or 20x-10 = -130   20x = 140 or 20x = -120   x = 7 or x = -6   product = -6*7 = -42   Answer is -42
Answer: C
Together, 15 type A machines and 7 type B machines can complete a certain job in 4 hours. Together 8 type B machines and 15 type C machines can complete the same job in 11 hours. How many hours E would it take one type A machine, one type B machine, and one type C machine working together to complete the job (assuming constant rates for each machine)? Choose the correct choice from the following choices
A) 22 hours  B) 30 hours  C) 44 hours  D) 60 hours  E) It cannot be determined from the information above.

Solution: Say the rates of machines A, B and C are a, b, and c, respectively.   Together 15 type A machines and 7 type B machines can complete a certain job in 4 hours --> 15a + 7b = 1/4;   Together 8 type B machines and 15 type C machines can complete the same job in 11 hours --> 8b + 15c = 1/11.   Sum the above: 15a + 15b + 15c = 1/4 + 1/11 = 15/44 --> reduce by 15: a + b + c = 1/44 --> so, the combined rate of the three machines is 1/44 job/hour --> time is reciprocal of the rate, thus machines A, B and C can do the job E in 44 hours.   Answer: 44 hours.
Answer: C
Jerry’s average (arithmetic mean) score on the first 3 of 4 tests is 94. If Jerry wants to raise his average by 2 points, what score must he earn on the fourth test?  Pick.
A) 87	B) 89	C) 90	D) 93	E) 102

Solution: Total score on 3 tests = 94*3= 
94*3 = 282
282   Jerry wants the average to be= 96   Hence total score on 4 tests should be = 96*4= 
96*4 = 384
384   Score required on the fourth test= 384 - 282= 
384 - 282 = 102
102   Option 102
Answer: E
At a certain food stand, the price of each apple is 40¢ and the price of each orange is 60¢. Mary selects a total of 10 apples and oranges from the food stand, and the average (arithmetic mean) price of the 10 pieces of fruit is 52¢. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is 44¢?
Pick one: A) 1 B) 2 C) 3 D) 4 E) 5

Solution: If the average price is 52, then Mary has 6 oranges and 4 apples (a ratio of 3:2).   For the average price to be 44, the ratio should be 1:4.   Mary must put back 5 oranges.   The answer is 5.
Answer: E
The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 1/3 of that total. What was the price of the basic computer?  Choose one:
A) 1500	B) 1600	C) 1750	D) 1900	E) 2000

Solution: Let the price of basic computer be C and the price of the printer be P: C+P=$2,500.   The price of the enhanced computer will be C+500 and total price for that computer and the printer will be 2,500+500=$3,000. Now, we are told that the price of the printer is 1/3 of that new total price: P=1/3*$3,000=$1000   Plug this value in the first equation: C+1000=$2,500 --> C=$1,500.   1500nswer: 1500.
Answer: A
The number of girls in a class is 5 times the number of boys. Which one of the following numbers cannot represent the total number of children in the class
Choose the correct option:
A) 27`
B) 28
C) 277
D) 198
E) 171

Solution: Answer:28
Answer: B
The number of girls in a class is 5 times the number of boys. Which one of the following numbers cannot represent the total number of children in the class. Answers:	A) 36	B) 41	C) 48	D) 72	E) 11

Solution: 36nswer:36
Answer: A
The first term in a sequence is 1 and the second term is 15. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 35th term in the sequence?
Pick one: A) 8 B) 15 C) 35 D) 70 E) 135

Solution: The third term is 8 since this is the average of 1 and 15.   Then the next terms will all be 8 since the average stays at 8.   The answer is 8.
Answer: A
Anne traveled from City A to City B in 4 hours, and her speed was between or equal to 25 miles per hour and 30 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between or equal to 25 miles per hour and 55 miles per hour. Which of the following could be the distance, in miles, from City A to City B?
Choose the correct choice from the following choices.
A) 95
B) 108
C) 125
D) 160
E) 180

Solution: In four hours Anne must travel 4 times her speed   so Anne's possible distances =   4(25 -30) or 100-120 miles   in two hours John travels 2 times his speed or   2(25-55) or 50-110 miles   the statement is only true if both distances are possible,   so you can tell its between or equal to   100-110   108 is the answer.
Answer: B
1, 4, 27, 16, ?, 36, 343
Choose the most appropriate option.
A) 125 B) 50 C) 78 D) 68 E) 58

Solution: The series consists of cubes of odd numbers and square of even numbers.   125nswer : 125.
Answer: A
In the game of Dubblefud, red balls,blue balls and green balls are each worth 2, 4 and 5 points respectively. In a certain selection of balls,the product of the point values of the balls is 16,000. If the number of blue balls in this selection equals the number of green balls, how many red balls are in the selection?	Choose the most appropriate option
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: this is equivalent to :-   2x * 4y * 5z = 16000   y = z (given)   2x * 4y * 5y = 16000   2x * y^2 = 16000/20   2x * y^2 = 800   now from options given we will figure out which number will divide 800 and gives us a perfect square :-   which gives us x = 4 as   2* 4 * y^2 =800   y^2 = 100   y =10   Number of red balls = 4 hence 4
Answer: D
Three dice are thrown together, Find the probability of getting a total of 6?  Choose the correct choice.
A) 1/12
B) 3/31
C) 2/9
D) 1/9
E) 5/108

Solution: Three different dice are thrown at the same time.   Therefore, total number of possible outcomes will be 63 = (6 × 6 × 6) = 216.   Number of events of getting a total of 6 = 10   i.e. (1, 1, 4), (1, 4, 1), (4, 1, 1), (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), (3, 2, 1) and (2, 2, 2).   Therefore, probability of getting a total of 6   P(5/108) = Number of favorable outcomes/Total number of possible outcome   = 10/216   = 5/108
Answer: E
A polling company reports that there is a 30% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. What is the chance that the candidate will sign Bill Z?  Select:
A) 10
B) 6
C) 8
D) 4
E) 5

Solution: 30% - Candidate Elected   100%-60% = 40% - Candidate doesnotsigh Bill X   50% - Candidate randomly chooses between two bills.   These are multiplicative:   30% x 40% x 50%   0.3 x 0.4 x 0.5 100 -60= 
100 -60 = 40
40% - Candidate doesnotsigh Bill X   50% - Candidate randomly chooses between two bills.   These are multiplicative:   30% x 40% x 50%   0.3 x 0.4 x 0.5= 0.06 = 6%   Answer (6)
Answer: B
Bill has a small deck of 10 playing cards made up of only 2 suits of 5 cards each. Each of the 5 cards within a suit has a different value from 1 to 5; thus, there are 2 cards in the deck that have the same value. Bill likes to play a game in which he shuffles the deck, turns over 3 cards, and looks for pairs of cards that have the same value. What is the chance that Bill finds at least one pair of cards that have the same value?	Choose the most appropriate option:
A) 1/2
B) 1/3
C) 1/4
D) 1/5
E) 1/6

Solution: P(no pairs) = 8/9*6/8 = 2/3   P(at least one pair) = 1 - 2/3 = 1/3   The answer is 1/3.
Answer: B
A shopkeeper buys mangoes at the rate of 6 a rupee and sells them at 4 a rupee. Find his net profit or loss percent?  Options:
A) 33 1/8 %	B) 33 7/3 %	C) 50 %	D) 33 5/8 %	E) 34 1/3 %

Solution: The total number of mangoes bought by the shopkeeper be 24.   If he buys 6 a rupee, his 50 %P = 4   He selling at 4 a rupee, his SP = 6   Profit = SP - 50 %P = 6 - 4= 
6 - 4 = 2
2   Profit Percent= 2/4 * 100= 
2/4 * 100 = 50
50 %   Answer: 50 %
Answer: C
The average runs of a cricket player of 13 innings was 22. How many runs must he make in his next innings so as to increase his average of runs by 5?
Select the correct option
A) 92	B) 42	C) 64	D) 76	E) 84

Solution: Explanation:   92verage after 14 innings = 27   Required number of runs = (27 * 14) – (22 * 13)   = 378 – 286 = 92   92NSWER 92
Answer: A
If a light flashes every 30 seconds, how many times will it flash in 1/2 of an hour? Pick one.
A) 30	B) 42	C) 61	D) 59	E) 45

Solution: There are 60 minutes in an hour.   In 1/2 of an hour there are  (60 * 1/2)= 
 (60 * 1/2) = 30
30minutes.   In 1/2 of an hour there are  (60 * 30)= 
 (60 * 30) = 1_800
1800 seconds.   Light flashed for every 30 seconds.   In 1800 seconds 1800/30= 
1800/30 = 60
60 times.   The count start after the first flash, the light will flashes 61 times in 1/2 of an hour.   Answer:61
Answer: C
A man can row a boat at 40 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream? Choose the correct choice from the following options:
A) 30/83 hours	B) 80/13 hours	C) 30/13 hours	D) 30/23 hours	E) 32/13 hours

Solution: Speed downstream = 40 + 6= 
40 + 6 = 46
46 kmph.   Time required to cover 60 km downstream= d/s = 60/46   = 30/23 hours.   Answer:30/23 hours
Answer: D
A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 40min will be.  Choices:
A) 60 km/h
B) 55 km/h
C) 40 km/h
D) 70 km/h
E) 65 km/h

Solution: Time=50/60 hr=5/6hr   Speed=48mph   distance=S*T=48*5/6= 
48*5/6 = 40
40km   time=40/60hr=2/3hr   New speed = 40* 3/2= 
40* 3/2 = 60
60kmph   60 km/hnswer : 60 km/h
Answer: A
357 : 73 ::?
Choose one:
A) 429 : 94 B) 201 : 21 C) 138 : 38 D) 93 : 39 E) 95 : 39

Solution: 357 : 73   to get 2nd number,middle digit is removed, 1st & last interchanged their position of 1st no.   only option a) match this.   429 : 94NSWER:429 : 94
Answer: A
The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is  Choose the correct option
A) 10.5 B) 11.5 C) 12.5 D) 13.5 E) None of these

Solution: Explanation:   Middle numbers = [(10.5 x 6 + 11.4 x 6) - 10.9 x 11] = (131.4 - 119-9) = 11.5 Answer: 11.5
Answer: B
How many total number of ways in which n distinct objects can be put into two different boxes is Pick: A) n2 B) 2n C) 2n D) 3n E) None of these

Solution: Let the two boxes be B1 and B2. There are two choices for each of the n objects. So, the total number of ways is   2 × 2 ×.....× 2 (n times ) = 2n   Answer 2n
Answer: B
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.15000. A's share is?
Choose the correct choice from the following answers:
A) s.7500	B) s.7200	C) s.6000	D) s.5000	E) s.6750

Solution: x* 12 : 2x* 6: 3x* 4   1:1:1   1/3 * 15000= 
1/3 * 15000 = 5_000
5000   ANSWER:s.5000
Answer: D
Tom opened a shop investing Rs.3000. Jose joined him 2 months later, investing Rs.4500. They earned a profit of Rs.5400 after completion of one year. What will be Jose's share of profit? Choose the correct choice from the following choices.
A) 3000  B) 2200  C) 2309  D) 2400  E) 3200

Solution: SoL = ~s- So 3000nju’s share = [5/9] x 5400 = 3000   3000
Answer: A
A train running at 25 km/hr takes 40 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.	Choose the correct choice from the following answers
A) a) 200/3m175/3m
B) b) 45m160m
C) c) 50m45m
D) d) 100/3 m200/3
E) e) none of these

Solution: Hi Math gurus correct me if I am wrong. I wondered i reached the answer mentioned here i.e 100m and 25m   lets solve it   To find out length of train the train, which is must cover the static point of the man as well as the distance covered the man during 12 sec.   The man covered the distance during 12sec is 5*5/40*12=15/2m so the train covered a distance in 12 sec= 25*5/40*12=75/2   so the length of the train(Lt) is  15/2+75/2= 
 15/2+75/2 = 45
45m   Now crossing the platform means length of train+length of platform(Lt+p)= 40*25*5/40= 
40*25*5/40 = 125
125m Now the length of platform (Lp) is= 125-45= 
125-45 = 80
80m   So answer is 45m and 80m Must beb) 45m160meven though its mentioned 45m and 160m thinking so typo mistake...........
Answer: B
At a garage sale, all of the items were sold at different prices. If the price of a radio sold at the garage sale was both the 17th highest price and the 24th lowest price among the prices of the items sold, how many items were sold at the garage sale? Answers
A) 38 B) 39 C) 40 D) 41 E) 42

Solution: There were 16 items sold at a higher price than the radio and 23 items sold at a lower price than the radio. Including the radio, there were 16 + 23 + 1= 
16 + 23 + 1 = 40
40 items sold.   The answer is 40.
Answer: C
For any integer k > 1, the term “length of an integer” refers to the number of positive prime factors, not necessarily distinct, whose product is equal to k. For example, if k = 24, the length of k is equal to 4, since 24 = 2 × 2 × 2 × 3. If x and y are positive integers such that x > 1, y > 1, and x + 3y < 1000, what is the maximum possible sum of the length of x and the length of y? Choose the correct choice:
A) 5  B) 6  C) 15  D) 16  E) 18

Solution: Basically the length of an integer is the sum of the powers of its prime factors. For example the length of 24 is 4 because 24=2^3*3^1 --> 3+1=4.   Given: x+3y<1,000. Now, to maximize the length of x or y (to maximize the sum of the powers of their primes) we should minimize their prime bases. Minimum prime base is 2: so if x=2^9=512 then its length is 9 --> 512+3y<1,000 --> y<162.7 --> maximum length of y can be 7 as 2^7=128 --> 9+7=16.   Answer: 16.
Answer: D
Ravi alone can do a work in 25 dyas while Syam alone can do it in 20 days. Ram started the work and joined by Syam after 10 days. How long did the work last?
Select the correct option.
A) 9 2/3 days.
B) 10 2/3 days.
C) 11 2/3 days.
D) 16 2/3 days.
E) 13 2/3 days.

Solution: Ram's 1 day work =1/25 Ram's 10 days work =10/25 =2/5 Remaing work =1-2/5 =3/5 Syam's 1 day work =1/20, Part of work finished by both =1/25+1/20 =9/100 Total work done by both = 100/9 days. Therefore the remaining 3/5 of work done by both =100/9*3/5 =6 2/3 days. Therefore the work lasted for ( 10+6 2/3 ) days =16 2/3 days. Answer : 16 2/3 days.
Answer: D
A room is 6 meters 72 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.	Choose the correct option:	A) 107	B) 126	C) 117	D) 136	E) 147

Solution: Let us calculate both the length and width of the room in centimeters.   Length = 6 meters and 72 centimeters = 672 cm   width = 4 meters and 32 centimeters = 432 cm   As we want the least number of square tiles required, it means the length of each square tile should be as large as possible.Further,the length of each square tile should be a factor of both the length and width of the room.   Hence, the length of each square tile will be equal to the HCF of the length and width of the room = HCF of 672 and 432 = 48   Thus, the number of square tiles required = (672 x 432 ) / (48 x 48) = 14 x 9 = 126   Answer: 126
Answer: B
The average age of a class of 25 students is 26 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?	Choices.
A) 40 B) 41 C) 52 D) 62 E) 73

Solution: Total age of all students =25Ã—26   Total age of all students + Age of the teacher =26Ã—27   Age of the teacher   =27Ã—26âˆ’25Ã—26=26(27âˆ’25)=26Ã—2=52   Answer is 52.
Answer: C
A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?
Choose the correct choice from the following answers.
A) 77 cm
B) 10 cm
C) 55 cm
D) 33 cm
E) 11 cm

Solution: 30 * 20 * x   = (8 * 5.5 * 1.5)/2   Answer: 10 cm
Answer: B
The simple interest on a sum of money will be Rs. 600 after 10 years.If the principal is trebled after 5 years,what will be the total interest at the end of the tenth year ?	Choose the correct choice from the following answers.
A) Rs. 600	B) Rs. 900	C) 1200 rupees	D) Rs. 1500	E) None

Solution: Solution   22.22   Let the sum be Rs. x. Now, S.I. = Rs. 600,T = 10 years.   Rate = % = (100x600/X x 10)% =(6000/X)%   S.I. for first 5 years = Rs.(X x 5 x 6000/X x 100) = Rs. 300.   S.I. for first 5 years = Rs. (3X x 5 x 6000/X x 100)= Rs. 900.   ∴ Total interest = Rs. 1200.   Answer 1200 rupees
Answer: C
If 75 percent of a class answered the first question on a certain test correctly, 30 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?	Select.
A) 25%
B) (8) 20%
C) 30%
D) 50%
E) 65%

Solution: I didn't understand how to connect 20 percent with the whole equation.   Why 20 is out of the percentile diagram (circles) but inside of 100?   20% appeared in the exam; however did not answer Question AQuestion B correctly   So they are out of the two circles, however as they have appeared in the exam, they have to be taken into consideration for calculation purpose   I am doing it this way:   Suppose the total class size is 100, then 20 percent of the class answered incorrectly and rest 80 percent answered correctly in question 1 or 2 or both.   Now,   100 - [(75 - x) + x + (30 - x)] = 20 .......... values are in percent   x = 20 - 100 + 105= 
20 - 100 + 105 = 25
25   25%ns: 25%
Answer: A
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 6 p.c?  Pick:  A) 28000  B) 29000  C) 37600  D) 38000  E) 40000

Solution: Option B   Explanation:   37600P + 37600P/8 = 45000   37600P = 40000   SP = 40000*(94/100)= 
40000*(94/100) = 37_600
37600   Option 37600
Answer: C
The price of 5 kilograms of premium fertilizer is the same as the price of 12 kilograms of regular fertilizer. If the price of premium fertilizer is y cents per kilogram more than the price of regular fertilizer, what is the price, in cents, per kilogram of premium fertilizer?
Choose the correct choice from the following options:
A) y/30
B) 5/6*y
C) 6/5*y
D) 5y
E) 12y/7

Solution: Usingpfor premium andrfor regular, I got two equations from the question stem:   5p = 12r and p = r+y   Substitute for p: 5(r+y) = 12r   Distribute: 5r + 5y = 12r   Subtract 5r from both sides: 5y = 7r   Plug back into the first equation: 5p = 12(5y/7)   Distribute: 5p = 60y/7   Divide both sides by 5: p = 12y/7   The answer is 12y/7.
Answer: E
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?	Choose the most appropriate option
A) 28  B) 89  C) 77  D) 66  E) 21

Solution: Speed = 240/24= 
240/24 = 10
10 m/sec.   Required time= (240 + 650)/10= 
(240 + 650)/10 = 89
89 sec.   Answer: 89
Answer: B
0.363*0.522+0.363*0.478 = ? Pick.
A) 0.522  B) 0.845  C) 0.363  D) 0.985  E) 0.885

Solution: Given Expression= 0.363*(0.522+0.478)= 
0.363*(0.522+0.478) = 0.363
0.363*1= 
0.363*1 = 0.363
0.363   ANSWER:0.363
Answer: C
In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 340 points, how many points is the third question worth?
Answers:
A) 39
B) 24
C) 28
D) 26
E) 30

Solution: x   x+4   x+8   x+12   x+16   x+20   x+24   x+28   x+32   x+36   10x+180=340   10x=160   x=16   3rd question = x+8 = 16+8= 
16+8 = 24
24   Answer 24
Answer: B
For which of the following does p(a)−p(b)=p(a−b) for all values of a and b?
Select: A) p(x)=x^2 B) p(x)=x/2 C) p(x)=x+5 D) p(x)=2x−1 E) p(x)=|x|

Solution: To solve this easiest way is just put the value and see that if it equals or not.   with option 1. p(a) = a^2 and p(b) = b^2   so L.H.S = a^2 - b^2   and R.H.S = (a-b)^2 ==> a^2 + b^2 -2ab.   so L.H.S not equal to R.H.S   with option 2. p(a) = a/2 and p(b) = b/2   L.H.S = a/2 - b/2 ==> 1/2(a-b)   R.H.S = (a-b)/2   so L.H.S = R.H.S which is the correct answer.   answer:p(x)=x/2
Answer: B
Calculate how much time could be saved if the train would run at its usual speed, given that it ran at 2/3 of its own speed and got to its destination in 20 hours?
Choose the most appropriate option.
A) 5.67 hrs
B) 9.67 hrs
C) 8.95 hrs
D) 8.67 hrs
E) 6.67 hrs

Solution: New speed = 2/3 of usual speed   New time = 2/3 of usual time   2/3 of usual time = 20 hrs   Usual time = 20*2/3 = 13.33 hrs   Time saved = 22-13.33= 
22-13.33 = 8.67
8.67 hrs   Answer is 8.67 hrs
Answer: D
If x=kc and y=kt,then 2y+x =?  Choose the correct choice from the following choices
A) k(t-c)
B) k(c-t)
C) c(k-t)
D) k(2t+c)
E) k(1-t)

Solution: Just put in the given values of y and x   2y +x =2 kt +kc   Now take k common   2y + x = k(2t +c)   You get (k(2t+c)) as your answer.
Answer: D
The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is	Options:
A) 16cm B) 25cm C) 15cm D) 35cm E) None of these

Solution: Explanation:   So by now, you must be knowing this is a question of HCF, right.   H.C.F. of (700 cm, 385 cm, 1295 cm) = 35 cm.   Option 35cm
Answer: D
A train passes a station platform in 36 sec and a man standing on the platform in 21 sec. If the speed of the train is 54 km/hr. What is the length of the platform?	Choices:
A) 225 m  B) 240 m  C) 187 m  D) 176 m  E) 186 m

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 21= 
15 * 21 = 315
315 m.   Let the length of the platform be x m . Then,   (x + 315)/36= 15 => x = 225 m.   225 mnswer:225 m
Answer: A
A mixture of three edible oils is composed of olive oil, sunflower oil, and ground nut oil. How many ml of ground nut oil is required to make 5 liters of oil mixture containing twice as much olive oil as sunflower oil, and three times as much olive oil as groundnut oil?(1L=100ml)
Options
A) 300ml	B) 1000ml	C) 500ml	D) 800ml	E) 60ml

Solution: 1L=1000ml   5L=5000ml   sunflower oil=2 olive oil   olive oil=3 groundnut oil   sunflower oil+olive oil+groundnut oil=5000   2 olive oil+olive oil+1/3 olive oil=5000   10 olive oil=5000   olive oil=500 ml   Answer is 500ml
Answer: C
A missile flies 6,000 miles at a speed of r mph. If the missile flies at a speed of r + 500 miles per hour, it would fly the same distance in 2 hours less. What is the value of r?
Select the correct option:  A) 1,500 mph  B) 1,000 mph  C) 800 mph  D) 1,200 mph  E) 1,050 mph

Solution: Equation: 6,000/r = 6,000/(r + 500) + 2   Plug options into the equation:   1,000 mph fits: 6,000/1,000 = 6,000/(1,000+500) + 2   Answer: 1,000 mph
Answer: B