MU-NLPC/Calc-aqua_rat huggingface dataset:
An alloy of copper and zinc contains copper and zinc in the ratio 6 : 4. Another alloy of copper and zinc contains copper and zinc in the ratio 3 : 7. In what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc?
Select the correct option.
A) 12 : 1 B) 1 : 2 C) 4 : 1 D) 2 : 5 E) 2 : 6

Solution: Let Alloy_1 be x units, and let Alloy_2 be y units.   So, fraction of copper in Alloy_1 = 6x/10, and fraction of zinc in Alloy_1 = 4x/10   Similarly, fraction of copper in Alloy_2 = 3y/10, and fraction of zinc in Alloy_2 = 7y/10.   Mixing them, we get   copper = 6x/10 +3y/10; zinc = 4x/10 + 7y/10   So, 6x+3y = 4x+7y   -> 2x = 4y   -> x/y =2/4 = 1/2   So, they must be mixed in the ratio 1 : 2   Answer : 1 : 2
Answer: B
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good? Select
A) 125/128	B) 125/178	C) 125/126	D) 125/129	E) 125/122

Solution: Required probability   = 1 - 1/126   = 125/126   Answer: 125/126
Answer: C
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Answers:  A) 7889890 m  B) 2334356 m  C) 1536001 m  D) 1232431 m  E) 2435467 m

Solution: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1600 or x = 160.   Length = 480 m and Breadth = 320 m.   Area = (480 x 320) m2 = 153600 m   1536001 m
Answer: C
A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 5 feet and a height of 10 feet, how far did the oil level drop in the stationary tank?
Choose the correct choice from the following
A) 2.5 ft  B) 1 ft  C) 0.5 ft  D) 0.25 ft  E) 0.025 ft

Solution: In order to fill up the tank, same volume is shifted from one tank to the other.   pi r1^2h1= pi r2^2 h2   5*5*10= 100 *100 *h2   h2= .025 ft   0.025 ft is the answer
Answer: E
The average of seven numbers is 18. The average of first three numbers is 12 and the average of last three numbers is 19. What is the middle number?
Pick:
A) 25	B) 27	C) 29	D) 33	E) 34

Solution: The total of seven numbers = 7X18 = 126   The total of first 3 and last 3 numbers is = 3 X 12+3 X 19 = 99   So, the middle number is  (126 - 93 )= 
 (126 - 93 ) = 33
33   33
Answer: D
A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 240 per month. What is his monthly salary? Choose the most appropriate option
A) 5000  B) 2999  C) 6000  D) 2990  E) 2771

Solution: Income = Rs. 100   Expenditure = Rs. 80   Savings = Rs. 20   Present Expenditure 80*(20/100) = Rs. 96   Present Savings = 100 â€“ 96 =Rs. 4   100 ------ 4   ? --------- 240 => 6000   Answer: 6000
Answer: C
Eric, Nick and Archi make contributions to the Society Of Nature Protection in the ratio of 5:3:2.5. If altogether they contribute 2688 Nis, how much more money does Nick contribute than Archi?
Pick one
A) 128 Nis	B) 212 Nis	C) 234 Nis	D) 245 Nis	E) 288 Nis

Solution: E:N:A 5:3:2.5   so total = 5x + 3x + 2.5 x = 10.5 x 5  + 3  + 2.5= 
5  + 3  + 2.5 = 10.5
10.5 x= 2688   so x = 256   Nick Contribution is 0.5 more than Archi so 0.5 x =0.5 * 256= 
0.5 * 256 = 128
128   So A. 128 Nis is the correct answer
Answer: A
A die is thrown twice and the sum of the numbers appearing is observed to be 6.
find the conditional probability that the number 4 has appeared at least once?  Choose the correct choice from the following answers:
A) 1/5
B) 1/7
C) 1/9
D) 2/5
E) 3/7

Solution: Let E be the event that ‘number 4 appears at least once’ and F be   the event   that ‘the sum of the numbers appearing is 6’.   Then, E = {(4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (1,4), (2,4), (3,4),   (5,4), (6,4)}   and F = {(1,5), (2,4), (3,3), (4,2), (5,1)}   We have P(E) = 11/36   and P (F) = 5/36   Also EnF = {(2,4), (4,2)}   Therefore P(EnF) = 2/36   the required probability   P(E|F) = P(EnF)/P(F) = (2/36)/(5/36) = 2/5.   2/5)
Answer: D
Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 3 minutes A is turned off. After how much more time will the cistern be filled?  Choose the correct choice from the following answers
A) 8 1/5  B) 8 1/9  C) 8 1/4  D) 8 1/2  E) 8 1/1

Solution: 3/12 + (3 + x)/15 = 1   x = 8 1/4   Answer:8 1/4
Answer: C
A man is 26 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is  Pick one.
A) 21 years
B) 22 years
C) 23 years
D) 24 years
E) 26 years

Solution: Explanation:   Let's Son age is x, then Father age is x+26.   => 2(x+2) = (x+26+2)   => 2x+4 = x+28   => x = 24 years   Option 24 years
Answer: D
What is the sum of the greatest common factor and the lowest common multiple of 12 and 16?	Select the correct option:
A) 19
B) 22
C) 52
D) 36
E) 38

Solution: Prime factorization of the given numbers   12= 2^2 * 3   48= 2^4 *3   Greatest common factor = 4   Lowest common multiple =48   Sum = 4+ 48= 
4+ 48 = 52
52   Answer 52
Answer: C
The average age of a husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?  Choose the correct choice from the following options:	A) 19 years	B) 54 years	C) 16 years	D) 15 years	E) 14 years

Solution: Sum of the present ages of husband, wife and child   = (23 * 2 + 5 * 2) = 57 years.   Required average   = 57/3= 
57/3 = 19
19 years.   19 yearsnswer:19 years
Answer: A
If fy > 0 and yz < 0, which of the following must be negative:  Pick one:  A) fyz  B) fy(z^2)  C) f(y^2)z  D) x(y^2)(z^2)  E) (x^2)(y^2)(z^2)

Solution: fy > 0 means that fy is positive.   yz < 0 means that yz is negative.   f(y^2)z = (fy)(yz) = positive*negative = negative. Thus option f(y^2)z is always negative.
Answer: C
The difference between the place values of two eights in the numerical 38140482 is
Choose the correct choice from the following answers
A) 7999920 B) 799920 C) 7920 D) 79920 E) None of them

Solution: Required difference = (8000000-80)= 
(8000000-80) = 7_999_920
7999920.   7999920nswer is 7999920
Answer: A
A policeman noticed a criminal from a distance of 200 km. The criminal starts running and the policeman chases him. The criminal and the policeman run at the rate of 8 km and 9 km per hour respectively. What is the distance between them after 3 minutes ?  Choose the correct choice from the following answers:
A) 100 m  B) 120 m  C) 130 m  D) 150 m  E) None of these

Solution: Explanation :   Solution: Relative speed = (9 - 8)= 
(9 - 8) = 1
1 km/hr.   Distance covered in 3 minutes= (1 * 3/60) km = 1/20 km = 50 m.   .'. Distance between the criminal and policeman = (200 - 50)= 
(200 - 50) = 150
150 m.   Answer : 150 m
Answer: D
What is the average of 1200, 1300, 1400, 1510, 1520, 1530, and 1200?
Options:
A) 1360.47  B) 1355.8  C) 1380  D) 1350  E) 1333

Solution: Add 1200, 1300, 1400, 1510, 1520, 1530, and 1200   Grouping numbers together may quicken the addition   sum = 9660   9660/7= 
9660/7 = 1_380
1380   1380
Answer: C
A jogger running at 9 km/hr along side a railway track is 250 m ahead of the engine of a 100 m long train running at 99 km/hr in the same direction. In how much time will the train pass the jogger? Choose the correct choice from the following choices:	A) 14 sec	B) 67 sec	C) 98 sec	D) 36 sec	E) 23 sec

Solution: Speed of train relative to jogger =99 - 9= 
99 - 9 = 90
90 km/hr.= 90 * 5/18= 
90 * 5/18 = 25
25 m/sec.   Distance to be covered= 250 + 100= 
250 + 100 = 350
350 m.   Time taken= 350/25= 
350/25 = 14
14 sec.   14 secnswer:14 sec
Answer: A
In a Government institute 20 Nos. staffs are employed. In a Festival season their Boss give festival allowance to all. He says his accountant to calculate for 30 days @ 100. Also he says balance payment will give to driver and cleaning staff and to be adjust from petty cash. He had given Rs.65000/- to the accountant. How much amount will taken from Petty cash? Choose the correct choice from the following choices
A) A)1000	B) B)3000	C) C)3500	D) D)2500	E) E)2250

Solution: For 20 staffs: 300*100*20 = 60000   for driver and cleaning staff: 300*100*2 =6000   From petty Cash : 1000   1000nswer is 1000
Answer: A
If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50/r years. If Luke's parents invested $14,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, when Luke is ready for college?  Pick one
A) 62,000
B) 85,500
C) 95,500
D) 120,500
E) 100,000

Solution: Answer equals D in 48 years. I thought by 50th year it would reach 120,500. Options should have been separated more widely for clarity.
Answer: D
Can you find the largest possible number containing any 9 of the 10 digits. considering 0 also as a number that is divisible by 11, without a remainder?  Choose the correct choice from the following answers:
A) 677652413 B) 827652413 C) 997652413 D) 987652413 E) 929052413

Solution: 987652413   987652413   With some trial one will find 987652413 as the highest possible number containg 9 of the 10 digits that is divisible by 11, without a remainder
Answer: D
A volunteer organization is recruiting new members. In the fall they manage to increase their number by 8%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring?	Options
A) 16.16%	B) 15.15%	C) 14.14%	D) 13.33%	E) 12.52%

Solution: (100%+8%)*(100%-19%) = 1.08*.81= 
1.08*.81 = 0.8748
0.8748   1-0.8748= 12.52% lost = -12.52%   The Answer is 12.52%   The organization has lost 12.52% of its total volunteers from fall to spring.
Answer: E
There are 840 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?  Choose the correct answer.
A) 75
B) 100
C) 125
D) 140
E) 225

Solution: Let m be the number of male participants and f be the number of female articipants in the meeting. Thetotal number of participants is given as 840.   Hence, we have m+f= 840   Now, we have that half the female participants and one-quarter of the male participants are Democrats.   Let d equal the number of the Democrats.   Then we have the equation f/2 + m/4 =d   Now, we have that one-third of the total participants are Democrats. Hence, we have the equation   d = 840/3= 
840/3 = 280
280   Solving the three equations yields the solution   f= 280,m= 560, and d= 280.   The number of female democratic participants equals half the female participants equals   280/2= 
280/2 = 140
140.   ANSWER:140
Answer: D
If cement, gravel and sand are to be mixed in 7:10:13 and 9 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available. Select the correct option.
A) 35 7/8 B) 36 C) 34 2/7 D) 34 5/7 E) 38 4/7

Solution: Cement:Gravel:Sand = 7:10:13 --> total of   7+10+13= 
  7+10+13 = 30
30 parts.   If we use 8 tons of cement, then we'll get 9/7*30= 38 4/7 tons of mixture.   Answer: 38 4/7.
Answer: E
If a^2bc = b^3 , which of the following must be true?
I. ac = b^2
II. b = 0
III. ac = 1  Choose the correct answer.
A) I B) none C) II D) III E) I&II

Solution: none
Answer: B
Average age of students of an adult school is 52 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students of the school after joining of the new students.  Choose the correct choice from the following answers:  A) 1200  B) 150  C) 360  D) 240  E) None of these

Solution: Explanation :   Let the original no. of students be x.   According to situation, 52x + 120*32 = (x + 120)36 ⇒ x = 30   So, Required no. of students after joining the new students   = x + 120 = 150   Answer : 150
Answer: B
The arithmetic mean of the set S = {4, K, 3, 9, M, 4} is 5. If K and M are integers, and K ≠ M, what is the median of the numbers in the set? Choose the correct answer:
A) 3 B) 3.5 C) 4 D) 4.5 E) 5

Solution: The sum of the numbers is 6*5= 
6*5 = 30
30   K+M= 30 - 9 - 4 - 4 - 3= 
30 - 9 - 4 - 4 - 3 = 10
10   Since K ≠ M, K and M do not equal 5.   Thus one of the two numbers is 4 or less and one is 6 or more.   Then middle two numbers in the set are 4 and 4.   The median is 4.   The answer is 4.
Answer: C
By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at: Choose the correct choice from the following options.
A) Rs. 80  B) Rs. 96  C) Rs. 106  D) Rs. 108  E) Rs. 128

Solution: Michel earns Rs 135 by investing Rs1620   To earn Rs 8 how much he have to invest?   =(8*1620)/135= 
(8*1620)/135 = 96
Rs 96   ANSWER:Rs. 96
Answer: B
A man buys a cycle for Rs. 1200 and sells it at a loss of 15%. What is the selling price of the cycle? Choose the correct choice:  A) s. 1020  B) s. 1160  C) s. 1190  D) s. 1202  E) s. 1256

Solution: S.P. = 85% of Rs. 1200 = Rs.85/100x 1200	= Rs. 1020   s. 1020NSWER :s. 1020
Answer: A
Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?  Answers.
A) 120 sq m
B) 150 sq m
C) 110 sq m
D) 300 sq m
E) 330 sq m

Solution: 1/2 * 20(9 + 6) = 150 cm2   ANSWER:150 sq m
Answer: B
The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 12, and k < m < r < s < t. If t is 20, what is the greatest possible value of the median of the 5 integers?
Choose the correct option:
A) 16	B) 18	C) 19	D) 20	E) 22

Solution: We need to find the median which is the third value when the numbers are in increasing order. Since k<m<r<s<t, the median would be r.   The average of the positive integers is 12 which means that in effect, all numbers are equal to 12. If the largest number is 20, it is 8 more than 12. We need r to be maximum so k and m should be as small as possible to get the average of 12. Since all the numbers are positive integers, k and m cannot be less than 1 and 2 respectively. 1 is 11 less than 12 and 2 is 10 less than 12 which means k and m combined are 21 less than the average. 20 is already 8 more than 12 and hence we only have 21 - 8= 
21 - 8 = 13
13 extra to distribute between r and s. Since s must be greater than r, r can be  12+6= 
 12+6 = 18
18 and s can be   12+7= 
  12+7 = 19
19.   So r is 18.   Answer (20)
Answer: D
A particular library has 150 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 65 percent of books that were loaned out are returned and there are 122 books in the special collection at that time, how many books of the special collection were loaned out during that month?  Choose the correct choice from the following answers.
A) 40 B) 60 C) 80 D) 100 E) 120

Solution: The total number of books is 150.   Let x be the number of books which were loaned out.   65% of books that were loaned out are returned.   35% of books that were loaned out are NOT returned.   Now, there are 122 books, thus the number of un-returned books is 150-122= 
150-122 = 28
28 books.   0.35x= 28   x = 80   The answer is 80.
Answer: C
Of the 65 house in a development, 50 have a two-car garage, 40 have an in-the-ground swimming pool, and 35 have both a two-car garage and an in-the-ground swimming pool. How many houses in the development have neither a two-car garage nor an in-the-ground swimming pool?
Choose the correct choice from the following choices
A) 10	B) 15	C) 20	D) 25	E) 30

Solution: Neither Car nor Garage   = Total - Garage - (Swim - Common)   = 65 - 50 - (40-35) = 65-55= 
65-55 = 10
10   10nswer 10
Answer: A
Solve: 12.05*5.4+0.6	Pick one:
A) 108.45
B) 110.45
C) 106.45
D) 109.45
E) None of them

Solution: = 12.05*(5.4/0.6) = (12.05*9)= 
(12.05*9) = 108.45
108.45   108.45nswer is 108.45.
Answer: A
If a cistern has 3 pipes of 1 cm , 4/3 cm and 2 cm thickness ...where the pipe with 2 cm thickness can fill the cistern in 2 hrs and 2 min..then in how much time they can fill the tank? Choose the correct choice from the following choices
A) 53.7min
B) 54.7min
C) 55.7min
D) 56.7min
E) 57.7min

Solution: 2cm can fill in 122min   thickness inversly propotional to time   total thickness of the pipe=1+4/3+2=4.3   we know that 2cm can fill in 122min   for 4.3cm time =56.7min   ANSWER:56.7min
Answer: D
A certain purse contains 30 coins, Each coin is either a nickel or a quarter. If the total value of all coins in the purse is 4.70$, how many nickels does the purse contain? Select the correct option:
A) 12	B) 14	C) 16	D) 20	E) 22

Solution: I picked a starting point and then kept ballparking until i hit the right answer   $4.70 - 6 quarters = $3.20. this would be 6 quarters and 64 nickels, WAY more than 30 so we need a lot more quarters   $4.70 - 16 quarters = $0.70 this would be 16 quarters and 14 nickels, 30 coins!   14 nickels! ANS=14
Answer: B
A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 80 percent of the drive from the center, what percent of the round-trip has the technician completed?  Choose the correct option:
A) 50
B) 60
C) 70
D) 80
E) 90

Solution: round trip means 2 trips i.e.to and fro. He has completed one i.e 50% completed. then he traveled another 80% of 50% i.e 40%. so he completed   50 +40= 
  50 +40 = 90
90 % of total trip.   90
Answer: E
The length of a room is 10 m and width is 4.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 900 per sq. metre.	Options:
A) 25650
B) 25750
C) 26550
D) 42750
E) 55725

Solution: Area = 10 × 4.75 sq. metre.   Cost for 1 sq. metre. = Rs. 900   Hence total cost = 10 × 4.75 × 900   = 10 × 4275 = Rs. 42750   Answer is 42750.
Answer: D
Every ten years, the Indian government counts all the people living in the country. Suppose that the director of the census has reported the following data on two neighbouring villages Chota Hazri and Mota Hazri :
Chota Hazri has 4,522 fewer males than MotaHazri.
Mota Hazri has 4,020 more females than males.
Chota klazri has twice as many females as males.
Chota Hazri has 2,910 fewer females than Mota Hazri.
What is the total number of males in Chota Hazri? Choose the correct answer.
A) 11,264
B) 14,174
C) 5,632
D) 10,154
E) None

Solution: Explanation :   Let ‘x’ be the number of males in Mota Hazri.   => x + 4020 – 2(x – 4522) = 2910 .   => x = 10154   ∴ Number of males in Chota Hazri = 10154 – 4522 = 5632.   Answer : 5,632
Answer: C
A and B start a business with Rs.7000 and Rs.9000 respectively. Hoe should they share their profits at the end of one year? Select the correct option: A) 7:9 B) 9:7 C) 3:9 D) 3:1 E) 3:2

Solution: They should share the profits in the ratio of their investments.   The ratio of the investments made by 7:9 and B =   7000 : 9000 => 7:9,7:9nswer: 7:9
Answer: A
How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 140 m in length?	Choose the correct answer.
A) 16.5
B) 16.0
C) 15
D) 16.8
E) 16.1

Solution: D = 110 + 140= 
110 + 140 = 250
250 m   S= 60 * 5/18 = 50/3   T = 250 * 3/50= 
250 * 3/50 = 15
15 sec   Answer: 15
Answer: C
In a series of football matches, the probability that Team P wins a match against Team Q is 1/5 and the probability that the match ends in a draw is 1/2. If the two teams play five matches, what is the probability that all five matches end in a draw? Choose the correct choice from the following options
A) 1/64	B) 1/32	C) 1/16	D) 1/8	E) 1/4

Solution: P(5 draws)=(1/2)^5=1/32   The answer is 1/32.
Answer: B
What is the 2532nd position of the number in the sequence
1,2,2,3,3,3,4,4,4,4,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,…..  Choose the correct choice
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: 10,20,30,40...   10(1+2+3----+22)=2530   That mean upto 22 th pos total numbers are 2530   2532 th numner must be 1..   1NSWER:1
Answer: A
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?  Choose one:	A) 1/455	B) 1/467	C) 1/427	D) 1/419	E) 1/417

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   Probability that all the three marbles picked at random are blue   = ³C₃/¹⁵C₃   = (1 * 3 * 2 * 1)/(15 * 14 * 13)   = 1/455   1/455nswer: 1/455
Answer: A
If q is a positive integer, then 3^q + 3^(q +1) = Choose the correct choice
A) 4^a	B) 3^a − 1	C) 3^(2a) + 1	D) 3^a*(a − 1)	E) 4(3^q)

Solution: 3^q + 3^(q +1)   = 3^q + (3^q * 3^1)   = 3^q (1 + 3)   = 3^q(4)   Ans. 4(3^q)) 4(3^q)
Answer: E
In a building there are 5 rooms.Each having a equal area .The length of the room is 4m and breadht is 5 m.The height of the rooms are 2m. If 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room ?	Choose the correct choice from the following options
A) 320  B) 340  C) 300  D) 330  E) 360

Solution: Explanation :   Area of the floor = 4m x 5m = 20 m2   17 bricks are needed to make 1 m2 area.   So to make 20 m2 no of bricks needed = 17 x 20 = 340   Answer : 340
Answer: B
Working alone, machine X can manufacture 1,000 nails in 10 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?  Choose the correct choice
A) 3 9/17  B) 5 1/3  C) 10  D) 11 1/5  E) 18 4/7

Solution: rate of machine x = 1000/10   (1000/10 + y)5=1000   y=100   100 * t = 1000   t=10   10.
Answer: C
Two good train each 250 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km / hr and 30 km /hr respectively. Find the time taken by the slower train to pass the driver of the faster one.	Choose one
A) 12 sec  B) 24 sec  C) 48 sec  D) 60 sec  E) None

Solution: Sol.   Relative Speed = (45 + 30) km / hr   = (75 x 5 / 18) m/sec   = (125/6) m/sec.   Distance covered = (250 + 250) m = 1000 m.   Required time = (500 x 6 / 125) sec = 24 sec.   Answer 24 sec
Answer: B
A train 360 m long is running at a speed of 36 km/hr. In what time will it pass a bridge 140 m long?  Choose the correct choice.
A) 50 sec
B) 29 sec
C) 26 sec
D) 27 sec
E) 34 sec

Solution: Speed = 36 * 5/18= 
36 * 5/18 = 10
10 m/sec   Total distance covered= 360 + 140= 
360 + 140 = 500
500 m   Required time= 500 * 1/10= 
500 * 1/10 = 50
50 sec   50 secnswer: 50 sec
Answer: A
A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?  Select.
A) 648  B) 849  C) 600  D) 849  E) 940

Solution: Explanation:   D = 30 * 5= 
30 * 5 = 150
150   RS= 40 – 30 = 10   T = 150/10= 
150/10 = 15
15   D= 40 * 15= 
40 * 15 = 600
600 km   Answer: Option 600
Answer: C
Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 45% took a marketing class last semester, and 50% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class? Choose the correct choice from the following choices.
A) 60% B) 50% C) 20% D) 15% E) 10%

Solution: {Total} = {finance} + {marketing} - {both} + {neither}   100 = 25 + 45 - {both} + 50   {both} = 20%.   The answer is 20%.
Answer: C