MU-NLPC/Calc-aqua_rat huggingface dataset:
Before leaving for his business trip, Chad asks his assistant to choose and pack three shirts from his closet, which currently contains eight shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt will be one of the shirts packed but the blue shirt will not?
Choose one:	A) 3/7	B) 4/7	C) 5/14	D) 11/28	E) 15/56

Solution: The total number of ways to choose 3 shirts from 8 is 8C3 = 56   The number of ways to choose a pink shirt plus 2 shirts from 6 is 6C2 = 15   P(a pink shirt but not a blue shirt) = 15/56   The answer is 15/56.
Answer: E
For which of the following does f(x)−f(y)=f(x−y) for all values of x and y?  Choices:
A) f(a)=a^2
B) f(a)=a/2
C) f(a)=a+5
D) f(a)=2a−1
E) f(a)=|a|

Solution: To solve this easiest way is just put the value and see that if it equals or not.   with option 1. f(x) = x^2 and f(y) = y^2   so L.H.S = x^2 - y^2   and R.H.S = (x-y)^2 ==> x^2 + y^2 -2xy.   so L.H.S not equal to R.H.S   with option 2. f(x) = x/2 and f(y) = y/2   L.H.S = x/2 - y/2 ==> 1/2(x-y)   R.H.S = (x-y)/2   so L.H.S = R.H.S which is the correct answer.   f(a)=a/2
Answer: B
In a group of 100 adults, 40 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?	Options:  A) 48  B) 52  C) 54  D) 40  E) 62

Solution: 12 left-haded women compose   100-40= 
  100-40 = 60
60% (or 3/5) of all women, so there are total of   5*12= 
  5*12 = 60
60 women --> 100-60=40 men.   Answer: 40. --  100-60= 
 --  100-60 = 40
40 men.   Answer: 40.
Answer: D
A man, a woman and a boy can together complete a piece of work in 4 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman take to complete the work?  Answers
A) 36days  B) 32days  C) 34days  D) 42days  E) 49days

Solution: Explanation:   (1 Man + 1 woman + 1 boy)’s 1day’s work = 1/4   1 man’s 1 day work = 1/6   1boy’s 1 day’s work = 1/18   (1 Man + 1 boy) ‘s 1 day’s work = 1/6 + 1/18 = 2/9   Therefore, 1 woman’s 1 day’s work = 1/4 – 2/9 = 1/36   Therefore, the woman alone can finish the work in 36 days.   36daysnswer: Option 36days
Answer: A
A train is 410 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length Select the correct option:
A) 20 seconds  B) 44 seconds  C) 40 seconds  D) 50 seconds  E) None of these

Solution: Explanation:   Speed = 45 Km/hr = 45*(5/18) m/sec   = 25/2 m/sec   Total distance = 410+140= 
410+140 = 550
550 meter   Time= Distance/speed   =550∗2/25=44seconds   Option 44 seconds
Answer: B
The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then what is the area of the park (in sq. m)?	Options
A) 153500	B) 153650	C) 153600	D) 153700	E) 153750

Solution: Let length =3x km,   breadth =2x km   Distance travelled by the man at the speed of 12 km/hr in 8 minutes =2(3x+2x)=10x   Therefore,12×860=10xx=425 km=160 m   Area =3x×2x=6x2   =6×1602=153600 m2   Answer is 153600.
Answer: C
The C.P of 17 books is equal to the S.P of 20 books. Find his gain% or loss%?	Pick:	A) 16 2/3% loss	B) 16 2/8% loss	C) 16 3/3% loss	D) 36 2/3% loss	E) 15% loss

Solution: 17 CP = 20 SP   20 --- 3 CP loss   100 --- ? => 15% loss   Answer:15% loss
Answer: E
A store reported total sales of $400 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase in sales?
Choose the correct choice from the following:
A) 2%
B) 17%
C) 25%
D) 65%
E) 83%

Solution: New Value – Old Value)/Old Value x 100   We are given:   February sales this year = 400 million   February sales last year = 320 million   We need to determine the percent increase between sales from last year to sales this year.   Thus, the new value = 400 million and the old value = 320 million. Let’s plug them into our percent change formula.   (New Value – Old Value)/Old Value x 100   [(400 – 320)/320] x 100   = 25%.   The answer is 25%.
Answer: C
A person deposits 1/16 of his income as Provident Fund and 1/15 of the remaining as insurance premium. If he spends 5/7 of the balance on domestic needs and deposits an amount of Rs. 50 in the bank, his total income would be
Choose the correct choice from the following options:
A) 150  B) 200  C) 250  D) 300  E) 350

Solution: (1-(1/16))(1-(1/15))(1-(5/7)) of Income = 50   Hence income = 200   ANSWER:200
Answer: B
Factor: 5x4y3 â€“ 80y3
Choose the correct answer.
A) A) 5y3(x2 + 4)(x + 2)(x -2)  B) B) 2y3(x2 + 4)(x + 2)(x -2)  C) C) 3y3(x2 + 4)(x + 2)(x -3)  D) D) 3y3(x2 + 4)(x + 3)(x -2)  E) E) 3y3(x2 + 4)(x + 2)(x -4)

Solution: 5x4y3â€“ 80y3.   = 5y3(x4 â€“ 16).   = 5y3[(x2)2 - 42].   = 5y3(x2 + 4)(x2 - 4).   = 5y3(x2 + 4)(x2 - 22).   = 5y3(x2 + 4)(x + 2)(x -2).   5y3(x2 + 4)(x + 2)(x -2)nswer: (5y3(x2 + 4)(x + 2)(x -2)) 5y3(x2 + 4)(x + 2)(x -2)
Answer: A
Two dice are tossed. The probability that the total score is a prime number is  Choose the correct answer: A) 1/6 B) 5/12 C) 1/2 D) 7/9 E) 3/8

Solution: n(S)=36   E= {(1,1),(1,2), (1,4),….(6,5)}   n(E)=15   P(E)=15/36   =5/12   Option 5/12
Answer: B
The average earning of amechanic for the first 4days of a week is Rs.32 and for the last four days is Rs.22. If heearns Rs.20 on the fourth day, his average earning forthe whole week is?	Choose the correct choice from the following choices:
A) s. 10 B) s. 20 C) s. 32 D) s. 40 E) s. 28

Solution: Total earning for the week = Sum of earning of first four days + Sum of earning of last four days - Earning of 4th day   = 4 x 32 + 4 x 22 -20   = Rs. 196   âˆ´ Average earning = 196/ 7   = Rs. 28   s. 28
Answer: E
The speed of a boat in still water in 37 km/hr and the rate of current is 13 km/hr. The distance travelled downstream in 10 minutes is:
Answers:	A) 10.44 km	B) 10.6 km	C) 11.4 km	D) 11.22 km	E) 8.33 km

Solution: 8.33 kmxplanation:   Speed downstream = (37 + 13)= 
(37 + 13) = 50
50 kmph   Time= 24 minutes = 10/60 hour = 1/6 hour   Distance travelled = Time × speed = (1/6)×50 = 8.33 km   Answer: Option 8.33 km
Answer: E
A salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100. If the sale price of each machine was $10,000 and the salesperson received a $40,000 commission, how many machines did she sell? Choose the most appropriate option
A) 90	B) 103	C) 105	D) 115	E) 125

Solution: First 100 machines = 3% commission = 0.03*100*10000= 
0.03*100*10000 = 30_000
30000   Commission from sale of next machines= 40000 - 30000= 
40000 - 30000 = 10_000
10000   So 25 more machines..   Total= 125 machines   IMO 125...
Answer: E
How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?	Choose the correct choice from the following answers.
A) 48  B) 36  C) 26  D) 11  E) 18

Solution: Explanation:   Here distance d = 800 mts   speed s = 63 - 3= 
63 - 3 = 60
60 kmph= 60 x 5/18 m/s   time t = = 48 sec.   48nswer: 48
Answer: A
For any real number x, the operatoris defined as:
(x) = x(4 − x)
If p + 1 =(p + 1), then p =	Options.
A) -2
B) 0
C) 1
D) 2
E) 3

Solution: (x) = x(4 − x)   (p + 1) = (p + 1)(4 - p - 1) = (3-p)(p+1)   We are given that p + 1 =(p + 1)   Therefore (3-p)(p+1) = (p + 1)   Or (p + 1) + (p-3)(p+1) = 0   (p + 1)(p-3) = 0   p = -1,p=3   Option 3
Answer: E
Yid intended to type a seven-digit number, but the two 3's he meant to type did not appear. What appeared instead was the five-digit number 52115. How many different seven-digit numbers could Yid have meant to type?  Choose the correct choice from the following answers.
A) 10
B) 16
C) 21
D) 24
E) 27

Solution: Yid intended to type a seven-digit number Should be 21.   there are two possibilities for placing 2 3s .   case 1: two 3s were missed consecutively. i.e. he typed 33 and it came blank on screen.   -5-2-1-1-5- in this arrangement we can fit 33 in 6 ways . (Six dashes, each dash represent one possible place for placing 33)   case 2: two 3s are not together, i.e. they have one or more digits between them .   -5-2-1-1-5- , in this arrangement   if we place first 3 at first dash i.e. 35-2-1-1-5- then the other 3 can fit into 5 places.   if we place first 3 at second dash i.e. -532-1-1-5- then the other 3 can fit into 4 places.   if we place first 3 at third dash i.e. -5-231-1-5- then the other 3 can fit into 3 places.   if we place first 3 at fourth dash i.e. -5-2-131-5- then the other 3 can fit into 2 places.   if we place first 3 at Fifth dash i.e. -5-2-1-135- then the other 3 can fit into 1 place.   so total 15 ways.   case 2 + case 1 = 6+ 15= 
6+ 15 = 21
21 ways   Answer 21
Answer: C
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the 1st and last places?
Choose one:
A) A)340 B) B)360 C) C)256 D) D)196 E) E)400

Solution: Explanation:   The word MEADOWS has 7 letters of which 3 are vowels.   V - - - - - V   As the vowels have to occupy 1st and last places, they can be arranged in the 3C2 i.e., 3 ways. While the consonants and vowel can be arranged among themselves in the remaining 5 places in 5! i.e., 120 ways.   Hence the total ways are  120 * 3= 
 120 * 3 = 360
360.   360
Answer: B
The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?	Choose the correct choice from the following answers:	A) 56 kg	B) 56 kg	C) 56 kg	D) 176 kg	E) 739 kg

Solution: 25x + 46 = 26(x – 5)   x = 176   Answer:176 kg
Answer: D
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was	Pick:
A) 548
B) 9674
C) 2397
D) 2700
E) 3000

Solution: Explanation:   Number of valid votes = 80% of 7500 = 6000.   Valid votes polled by other candidate = 45% of 6000   =(45/100*6000)= 
(45/100*6000) = 2_700
2700   Answer: 2700
Answer: D
At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?  Choose the correct answer
A) 16  B) 17  C) 10  D) 19  E) 15

Solution: Let the present ages of Arun and Deepak be 4x and 3x years respectively.   Then, 4x + 6 = 26 => x = 5   Deepak's age = 3x = 15 years.   Answer: 17
Answer: B
The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7 times the sum of the digits. Find the units digits? Choose the correct answer.
A) 7
B) 2
C) 4
D) 5
E) 1

Solution: Explanation:   Let the two-digit number be 10a + b   a = b + 2 --- (1)   10a + b = 7(a + b) => a = 2b   Substituting a = 2b in equation (1), we get   2b = b + 2 => b = 2   Hence the units digit is: 2.   Answer:2
Answer: B
If u > 0, which of the following could be true?
I. u^3 > u^2
II. u^2 = u
III. u^2 > u^3 Pick one.
A) I only	B) III	C) IIIII	D) All of the above	E) None of the above

Solution: 1. u^3 > u^2 Well this is true for all u > +1 (but not for values 0 < u < 1)   2. u^2 = u This is true for only one positive number, 1   3. u^2 > u^3 Again this is true only for values of u such that 0 < u < 1   So the answer is All of the above, since there exists at least one value of u which satisfies the equation/ in equation(s)
Answer: D
A can give B 300 meters start and C 600 meters start in a kilometer race. How much start can B give C in a kilometer race?  Select:  A) 111.12  B) 111.67  C) 428.57  D) 111.11  E) 101.12

Solution: A runs 1000 m while B runs 700 m and C runs 400 m.   The number of meters that C runs when B runs 1000 m,   = (1000 * 400)/700 = 571.43 m.   B can give C = 1000 - 571.43= 
1000 - 571.43 = 428.57
428.57 m.   Answer:428.57
Answer: C
Let x and y be positive integers, and r and s be single-digit positive integers. If x/y = r.sss, where the bar below the s indicates that the decimal repeats infinitely, which of the following CANNOT be true Select
A) y = 1.2 × 10^a, where a is a positive integer. B) y = 1.5 × 10^b, where b is a positive integer. C) y = 1.8 × 10^c, where c is a positive integer. D) y = 2.5 × 10^d, where d is a positive integer. E) y = 2.7 × 10^e, where e is a positive integer.

Solution: Concentrating only on the answer choices, only option D is not a multiple of 3. The rest of them are multiples of 3, thats a common trend in other answer choices. With this logic can we say that Option y = 1.5 × 10^b, where b is a positive integer. is correct answer?
Answer: B
If n = 2.0254 and n* is the decimal obtained by rounding n to the nearest hundredth, what is the value of n* – n? Choose the correct answer.
A) -0.0053	B) -0.0003	C) 0.0007	D) 0.0046	E) 0.0153

Solution: n*=2.03   n*-n=2.03-2.0254   0.0046   Answer: 0.0046
Answer: D
A collection of 20 coins, each with a face value of either 10 cents or 35 cents, has a total face value of $2.5. How many of the coins have a face value of 35 cents?	Choose the correct choice from the following
A) 2	B) 4	C) 6	D) 8	E) 7

Solution: 0.10(x)+0.35(20-x)=2.5   0.10x+7-0.35x=2.5   so x=18   20-x=2   ans is 2
Answer: A
On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 310,000 cells two hours ago, approximately how many cells will be populating the colony two hours from now?
Select the correct option: A) 77,500 B) 1,240,000 C) 2,480,000 D) 3,720,000 E) 4,960,000

Solution: 310,000 × 2 × 2 = 310,000 × 4 = 1,240,000
Answer: B
A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. He sellis the radio for Rs 350. The profit percent of the retailer is
Choose the correct option:	A) 10%	B) 45.8%	C) 25%	D) 52%	E) None of these

Solution: Explanation:   cost price = (225 + 15)= 
(225 + 15) = 240
240 sell price= 350   gain = (110/240)*100 = 45.8%. Answer: 45.8%
Answer: B
How many two-digit numbers are there whose remainder when divided by 11 is 1, and whose remainder when divided by 6 is 5?	Choose the most appropriate option.
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: 2 digit numbers whose remainder when divided by 10 is 1 are   11 , 21 , 31 , 41 , 51 , 61 , 71 , 81 , 91   Out of above , numbers whose remainder when divided by 6 is 5 are   11 , 41 and 71   Answer 4
Answer: B
How much water must be added to a 30 quarts of a 75% acid solution to reduce it to a 15%
solution of acid?	Choose the most appropriate option:  A) 120 qts  B) 220 qts  C) 320 qts  D) 420 qts  E) 520 qts

Solution: I’m adding water, so we have   WATER + WATER = WATER   Starting off with 30 quarts and adding x quarts, we should end up with (30 + x) quarts   30 + x = (30 + x)   The problem describes the solution in terms of acid, we have set it up in terms of water. So, we   have to change the percentages and put them in the problem.   .25(30) + x = .85(30 + x)   Again, we multiply both sides of the equation by 100 to get rid of the decimal point.   25(30) + 100x = 85(30 + x)   750 + 100x = 2550 + 85x   15x = 1800   x = 120 qts   correct answer 120 qts
Answer: A
To be considered grade AF, an egg must weigh between 75 and 90 grams, including the shell. Shells of grade AF eggs weigh between 3 and 5 grams. What is the smallest possible mass, in grams, of a 12-egg omelet, assuming that only grade AF eggs are used, the shells are all discarded, and no mass is lost in the cooking process? Choose the correct choice:
A) 800	B) 840	C) 864	D) 900	E) 1,080

Solution: We're asked for the smallest possible mass, so what could the lowest mass be per egg AF? A 75 gram egg, with a 5 gram shell, or 70 grams ofcookingmass. 12 x 70 = 840, so the answer is 840.
Answer: B
If a and b are positive integers such that a/b = 2.14, which of the following must be a divisor of a?
Pick one.
A) 15 B) 12 C) 25 D) 102 E) 107

Solution: 1) A and B are positive INTEGERS   2) A/B = 2.14   A = 214   B = 100   214/100= 
214/100 = 107/50 = around 2.14
2.14   These values are NOT the smallest possible values though (since they're both even, we can divide both by 2)...   A= 107   B = 50   107/50= 
107/50 = 107/50 = around 2.14
2.14   There is no other way to reduce this fraction, so A must be a multiple of 107 and B must be an equivalent multiple of 50. At this point though, the value of B is irrelevant to the question. We're asked for what MUST divide into A....   Since A is a multiple of 107, we have to 'factor-down' 107. This gives us only 107, apart from 1. So this integer MUST be a factor of A. You'll find the match in the answer choices.   Answer: 107
Answer: E
3639 + 11.95 - x = 3054. Find the value of x.
Choices.
A) 407.09  B) 479.75  C) 523.93  D) 596.95  E) None of these

Solution: Explanation:   Let 3639 + 11.95 – x = 3054   Then, x = (3639 + 11.95) – 3054   = 3650.95 – 3054   = 596.95   ANSWER: 596.95
Answer: D
The sume of the present ages of a father and his son is 60 years.Six years ago ,father’s ago was five times the age of the son.After 6 years,son’s age will be : Options.
A) 12 years
B) 14 years
C) 18 years
D) 20 years
E) None of these

Solution: Solution   Let the present ages of son and father be x and (60 - x)years recepectively.   Then,(60 -x)-6 =5(x-6) ⇔ 54 -x = 5x - 30 ⇔ 6x = 84 ⇔ x =14.   ∴ son's age after 6 years = (x + 6) = 20 years. Answer 20 years
Answer: D
The 200 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT
Choose the correct choice from the following.
A) 4
B) 20
C) 50
D) 40
E) 90

Solution: Obviously the number of rows must be a factor of 200. The only option which is not a factor of 200 is E (90).   Answer: 90.
Answer: E
Meena wrote all the numbers from 1 to 49,999 inclusive. How many digits did she write in total?  Choose one:	A) 154,889	B) 196,889	C) 238,889	D) 250,889	E) 264,889

Solution: 1-9=>1*9 digits   10-99=>2*90= 
2*90 = 180
180 (numbers between 10-99 is 90 where each has 2 digits)   100-999=>3*900= 
3*900 = 2_700
2700   1000-9999=>4*9000 = 36,000   10000-49999=>5*40,000 = 200,000   The answer is 238,889   The answer is 238,889.
Answer: C
On the first day of her vacation, Louisa traveled 160 miles. On the second day, traveling at the same average speed, she traveled 280 miles. If the 160-mile trip took 3 hours less than the 280-mile trip, what was the average speed, in miles per hour?  Select:
A) 40 B) 45 C) 46 D) 48 E) 50

Solution: (time)*(rate) = (distance)-->(rate) = (distance)/(time)--> given:(rate) = 160/t =280/(t+3)-->4/t = 7/(t+3)-->4t+12=7t ---->3t= 12 . t= 4 ---->(rate ) = 160/4= 
160/4 = 40
40   40nswer: 40
Answer: A
If d is the standard deviation x, y, and z, what is the standard deviation of x - 5, y - 5, z - 5 ?
Select the correct option:	A) d	B) 3d	C) 15d	D) d + 5	E) d + 15

Solution: If we add or subtract a constant to each term in a set:   Mean will increase or decrease by the same constant.   SD will not change.   If we increase or decrease each term in a set by the same percent (multiply by a constant):   Mean will increase or decrease by the same percent.   SD will increase or decrease by the same percent.   So in our case SD won't change as we are subtracting 5 from each term in a set --> SD=d.   dnswer: d.
Answer: A
Which of the following CAN be the least common multiple of two positive integers 15 and 30?  Select
A) 15 B) 30 C) 10 D) 5 E) 25

Solution: LCM of 15,30 is 30   Answer : 30
Answer: B
A traveler changes 150 pounds into rupees at the rate of Rs. 7000 for 100 pounds. He spends Rs. 9060 and changes the remaining amount back to pounds at the rate of 100 pounds to Rs. 7200. How many pounds will he get? Choices:
A) 20 pounds
B) 77 pounds
C) 66 pounds
D) 55 pounds
E) 99 pounds

Solution: Explanation:   Amount of rupees for exchange of 150 pounds = (150/100)*(7000/1) = Rs. 10,500   Out of these Rs.10,500, traveler spent Rs. 9060   Remaining balance in rupees = 10,500 – 9060 = Rs. 1440   Now these Rs. 1440 are exchanged back to pounds with the rate of 100 pounds for Rs. 7200   20 poundsmount in pounds = (1440 * 100) / 7200= 
(1440 * 100) / 7200 = 20
20 pounds   20 poundsNSWER:20 pounds
Answer: A
If 12/x is an integer and 4/x is an integer, which of the following must be true? I. 4/x is an integer II. 18/x is an integer III. 3/x is an integer
Pick one:  A) III only  B) II only  C) II,III only  D) I,III only  E) I only

Solution: The question asks which of the following MUST be true, not COULD be true. The largest possible value of x is 4, GCD of 12 and 4, and if x=4 then ONLY I is true.   Answer: I only
Answer: E
A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 180 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?	Pick one:  A) 2989  B) 2765  C) 6000  D) 2989  E) 9772

Solution: Total production of salt by the company in that year   = 5000 + 5180 + 5360 + .... + 6980 = 72060.   Average monthly production of salt for that year   = 72060/12= 
72060/12 = 6_005
6005.   Answer:6000
Answer: C
Envelopes can be purchased for $1.50 per pack of 100, $1.00 per pack of 50, or $0.03 each. What is the greatest number of envelopes that can be purchased for $7.90?	Choose the correct answer
A) 426	B) 430	C) 443	D) 480	E) 486

Solution: I think first we should see in what group envelopes value less, so that we can buy as many as we can with a specific amount of money:   -the 100 pack costs 1.5$, meaning 0.015$ per envelope   -the 50 pack costs 1$, meaning 0.02$ per envelope   -the single envelope costs 0.03$ per envelope   Thus, we have to buy as many 100 packs as we can, then as meny of 50 packs as we can and the remaining envelopes are single ones.   Having 7.9$, we can buy as many as 4 packs of 100 (4 x 1.5$ = 6$). We then have 1.9 $ left. so we buy 1 pack of 50 for 1$. We now have 0.9$ left, so we buy 30 individual envelopes. If we add up the numbers, we get   400+50+30= 
  400+50+30 = 480
480 envelopes. Answer 480
Answer: D
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 140 m length? Pick one:
A) 82.1 sec.  B) 12.5 sec  C) 19.1 sec.  D) 17.1 sec.  E) 42.1 sec.

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec   Total distance covered= 110 + 140= 
110 + 140 = 250
250 m.   Required time= 250/20= 
250/20 = 25/2 = around 12.5
12.5 sec.   Answer: 12.5 sec
Answer: B
If in a given number 5 8 9 4 3 2 7 6 1 4, we interchange the first and the second digits, the third and the fourth, the fifth and the sixth and so on, then counting from the right end, which digit will be sixth?  Choose the correct choice:	A) 3	B) 2	C) 4	D) 5	E) 6

Solution: after interchange   8 5 4 9 2 3 6 7 1 4   now count from right   sixth digit be 2   ANSWER:2
Answer: B
From Mumbai railway station,two Trains A and B start simultaneously from stations 400 miles apart, and travel the same route toward each other on adjacent parallel tracks. If Train A and Train B travel at a constant rate of 40 miles per hour and 40 miles per hour, respectively, how many miles will Train A have traveled when the trains pass each other, to the nearest mile?	Pick.
A) 112
B) 133
C) 150
D) 167
E) 180

Solution: Since we know the distance (400) and the combined rate (80), we plug it into the formula:   Distance = Rate * Time   400 = 80 * Time   We can solve for the time they will meet cause we added the rate of Train A and Train B together.   So the time will be 400/80 from dividing 80 on both sides to isolate Time in the equation above.   Time will be 20 hours so now you can plug that in for Train A’s distance.   Distance = Rate * Time   Distance = 40 * 20   Distance = 180 according to answer choice 180.
Answer: E