MU-NLPC/Calc-aqua_rat huggingface dataset:
A team of 6 cooks is chosen from 9 men and 5 women. The team must have at least 2 men and at least 3 women. How many ways can this team be created?  Choices:
A) 140
B) 320
C) 560
D) 700
E) 1020

Solution: Only possible combinations are a team of 2M, 4 W or 3M,3W.   Possible ways to make a team of 2M,4W = 9C2 * 5C4 =36*5= 
36*5 = 180
180   Possible ways to make a team of 3M,3W= 9C3* 5C3 = 84*10= 
84*10 = 840
840   Total possible ways= 180+840= 
180+840 = 1_020
1020   Ans 1020 it is.
Answer: E
The ratio between the length and the breadth of a rectangular park is 5 : 3. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 min, then thearea of the park (in sq. m) is?	Choose the correct choice from the following answers:
A) 124545 m B) 134561 m C) 156787 m D) 15450 m E) 150000 m

Solution: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.   60   Let length = 5x metres and breadth = 3x metres.   Then, 2(5x + 3x) = 1600 or x = 100.   Length = 500 m and Breadth = 300 m.   Area = (500 x 300) m2 = 150000 m   150000 m
Answer: E
30 pens and 75 pencils were purchased for 510. If the average price of a pencil was 2.00, find the average price of a pen.	Options.
A) 10  B) 11  C) 12  D) cannot be determined  E) None of the above

Solution: Since average price of a pencil = 2   ∴ Price of 75 pencils = 150   ∴ Price of 30 pens = (510 – 150) = 360   ∴ Average price of a pen = 360⁄60 = 12   Answer 12
Answer: C
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square?
Choose the correct answer
A) 5 : 16 B) 5 : 17 C) 5 : 11 D) 5 : 19 E) 1 : 16

Solution: Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.   a2 = 4096 = 212   a = (212)1/2 = 26 = 64   L = 2a and b = a - 24   b : l = a - 24 : 2a = 40 : 128 = 5 : 16   5 : 16nswer: 5 : 16
Answer: A
A person is traveling at 45km/hr and reached his destiny in 5hr find the distance?	Choose the correct option:
A) A)100km	B) B225km	C) C)135km	D) D)80km	E) E)125km

Solution: speed = 45km/hr   time = 5hr   distance = 45*5= 
45*5 = 225
225km   Answer is B225km
Answer: B
The captain of a cricket team of 11 members is 27 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?  Choose the correct option.
A) 20 years  B) 21 years  C) 22 years  D) 23 years  E) 24 years

Solution: Explanation:   Let the average age of the whole team by x years.   11x â€“ (27 + 30) = 9(x -1)   11x â€“ 9x = 48   2x = 48   x = 24.   So, average age of the team is 24 years.   Answer 24 years
Answer: E
what is next no. 11 23 47 83 131 191 263 ???	Select the correct option
A) 171
B) 347
C) 191
D) 201
E) 211

Solution: 11+12*1= 
11+12*1 = 23
23   23+12*2= 
23+12*2 = 47
47   47+12*3= 
47+12*3 = 83
83   83+12*4= 
83+12*4 = 131
131   131+12*5= 
131+12*5 = 191
191   191+ 12*6= 
191+ 12*6 = 263
263   263+12*7= 
263+12*7 = 347
347   ANSWER:347
Answer: B
Two brothers were expected to return here on the same day. Rajat returned 3 days earlier but Rohit returned 4 days later. If Rajat returned on Monday, what was the expected day when both the brothers were to return home and when did Rohit Return?
Pick
A) Wednesday, Sunday
B) Tuesday, Monday
C) Thursday, Monday
D) Monday, Friday
E) none

Solution: Rajat returned on Monday -i.e. 3 days earlier   so actual day to return home is Thursday.   Rohit returned after days so Monday   ANSWER:Thursday, Monday
Answer: C
A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Choose one:  A) 35  B) 20  C) 47  D) 36  E) 30

Solution: 1: 2/5 = 5: 2   2/7 * 70= 
2/7 * 70 = 20
20   Answer:20
Answer: B
If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?
Pick one:	A) 1,20,000	B) 1,10,000	C) 1,00,000	D) 90,000	E) 80,000

Solution: X * (105/100) * (105/100) * (105/100) = 138915   X = 138915/1.157625= 
138915/1.157625 = 120_000
120000   1,20,000NSWER:1,20,000
Answer: A
In a petting zoo, there are 50 hens, there are 40 goats, and 10 llamas with some humans. If the total number of feet are 210 more than the number of heads in the zoo, the number of humans is  Choices.
A) 1
B) 5
C) 10
D) 15
E) 20

Solution: Explanation: Let number of humans be x. Then, Total number of feet = 2 x 50 + 4 x 40 + 4 x 10 + 2x = 2x + 300 Total number of heads = 50 + 40 + 10 + x= 100 + x. Therefore (2x + 300) = (100 + x) + 210 or x = 10. Answer: 10
Answer: C
A train 520 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choose the correct answer.
A) 88 Kmph  B) 94 Kmph  C) 72 Kmph  D) 16 Kmph  E) 18 Kmph

Solution: Length = Speed * time   Speed = L/T   S = 520/20= 
520/20 = 26
26 M/Sec   Speed= 26*18/5 (To convert M/Sec in to Kmph multiply by 18/5)   Speed = 94 Kmph   Answer: 94 Kmph
Answer: B
A batsman in his 17th innings makes a score of 85, and thereby increases his average by 3. What is his average after the 17th innings? He had never been ’not out’.
Choices
A) 47 B) 37 C) 39 D) 43 E) 42

Solution: Average score before 17th innings   = 85 - 3 × 17= 34   Average score after 17th innings   => 34 + 3= 
34 + 3 = 37
37   ANSWER:37
Answer: B
What is the units digit of 17^83 × 13^82 × 11^83?
Choices
A) 4  B) 5  C) 6  D) 7  E) 8

Solution: To find : the units digit of 17^83 × 13^82 × 11^87   Let's reduce the clutter and simplify the product   (7^83) (3^82) (1^87)   7 has a cyclicity of 4 : the last digit of any positive power of 7 repeats itself after every 4th power   so 7^5 has the same last digit as 7^1, 7^9, 7^13   Thus , 7^83 has the same last digit as 7^3, 7^7, 7^11 i.e.3   3 has a cyclicity of 4 : exactly the same routine as above   Thus , 3^82 has the same last digit as 3^2, 3^6, 3^10 i.e.9   Any power of 1 will result in1as the last digit   So, product of our last digits = 3 x 9 x 1 = 27....last digit is 5   Correct Option : 5
Answer: B
You collect coins. Suppose you start out with 11. Since you're nice, you give Sharon 2 coins. Since you're nice, you give Steven 4 coins. How many coins do you have at the end? Choose the correct choice from the following:
A) 2
B) 3
C) 4
D) 5
E) 6

Solution: Solution   Start with 11 coins.   Sharon takes 2 coins from you:   11 - 2= 
  11 - 2 = 9
9 coins.   Steven takes 4 coins from you:   9 - 4= 
  9 - 4 = 5
5 coins.   So you have 5 at the end.   Correct answer : 5
Answer: D
A train 420 m long, running with a speed of 63 km/hr will pass a tree in?
Select
A) 15 B) 16 C) 17 D) 20 E) 24

Solution: Speed = 63 * 5/18 = 35/2 m/sec   Time taken = 420 * 2/35= 
420 * 2/35 = 24
24 sec   Answer: Option 24
Answer: E
Today is Monday. After 61 days, it will be Choose the correct choice from the following options:	A) Sunday	B) Saturday	C) Monday	D) Thursday	E) Wednesday

Solution: 61 days = 8 weeks 5 days = 5 odd days   Hence if today is Monday, After 61 days, it will be = (Monday + 5 odd days)   = Saturday   Answer is Saturday
Answer: B
Jonathan can type a 10 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document?
Answers:
A) 5 minutes  B) 10 minutes  C) 15 minutes  D) 18 minutes  E) 20 minutes

Solution: You may set up common equation like this:   job/A+job/B+job/C=job/x   Memorize this universal formula, you will need it definitely for GMAT.   and find x from this equation   In this specific case, the equation will look like this:   10/40+10/30+10/24=10/x   If you solve this equation, you get the same answer 10 minutes (10)
Answer: B
How many different three-digit multiples of 5 can be composed of digits 2, 7, 4, and 5 if none of the digits is repeated?	Select
A) 3
B) 6
C) 10
D) 12
E) 18

Solution: = 3c2 x 2 = 6   can you explain your method. i solved it differently   XYZ, where Z must be 5. therefore 1 variation of digit in Z.   Y can be any of the 3 possible choices.   X can be any of the 2 possible choices.   2+3+1= 
2+3+1 = 6
6   6
Answer: B
How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?  Choose the correct option:
A) 482
B) 337
C) 277
D) 288
E) 2781

Solution: 20000(11/10)4 - 20000(6/5)2 = 482   482nswer: 482
Answer: A
The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:	Choose the correct answer
A) Rs.608  B) Rs.6076  C) Rs.600  D) Rs.602  E) Rs.601

Solution: T.D. = B.G. x 100 = Rs. 24 x 100 = Rs. 120.   Rate x Time	10 x 2   P.W. =	100 x T.D.	= Rs. 100 x 120 = Rs. 600.   Rate x Time	10 x 2   Answer:Rs.600
Answer: C
two friends deepak and rajeev have agreed to meet at a definite spot on a particular day between 9pm and 10pm. the first person to come waits for some time and leaves.If the other one does not turn up by that time.If Deepak comes first,he waits for 45minutes and if Rajeev comes first,he waits for 15minutes.What is the probability of meeting between Deepak and rajeev if their arrival times are independent of eachother and each person arrives during the indicated period at random?
Choose the correct answer:
A) 3/4
B) 11/16
C) 7/8
D) 3/16
E) 5/16

Solution: deepak : 45/60 = 3/4   rajeev : 15/60= 1/4   as these are independent events   total probability = (3/4)*(1/4)   = 3/16   ANSWER:3/16
Answer: D
45% of x is greater than 1/3rd of x by 110.what is x?
Choose one:
A) 100
B) 200
C) 300
D) 350
E) 943

Solution: 45x/100-x/3=110   7x/60=110   x=943   ANSW943R:943
Answer: E
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?	Choices
A) 160
B) 175
C) 180
D) 195
E) None

Solution: EXPLANATION   Suppose the man works overtime for x hours.   Now, working hours in 4 weeks = (5 x 8 x 4) = 160.   160 x 2.40 + x x 3.20 = 432   3.20x = 432 – 384 = 48   x = 15.   Hence, total hours of work = (160 + 15)= 
(160 + 15) = 175
175.   Answer 175
Answer: B
if x - y = -10,2x + 3y = 15what is the value of y?	Choose the correct choice
A) 8
B) 6
C) 7
D) 6.5
E) 5

Solution: solution   Rearranged I--> y = x + 10   Substituted into II---> 2x + 3(x + 10) = 15   we get x = -3   Solve for Y: 2(-3) + 3(y) = 15   y = 7   Answer is 7
Answer: C
What percent is 3% of 5%? Select the correct option.
A) 60% B) 50% C) 75% D) 45% E) 30%

Solution: Required percentage = 3%/5% * 100 = 3/5 * 100= 
3/5 * 100 = 60
60%   60%nswer is 60%
Answer: A
A train covers a certain distance at a speed of 240kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of  Choose the most appropriate option:
A) 720km/hr
B) 620km/hr
C) 650km/hr
D) 750km/hr
E) 850km/hr

Solution: Explanation:   Distance = 240×5 = 1200km   Required speed = (1200× 3/5) = 720km/hr   720km/hrnswer: Option 720km/hr
Answer: A
Mohan purchased 15 kgs of rice at the rate of Rs.20 per kg and 8 kgs of pulses at the rate of Rs.20 per kg. Whaat is the total amount that he paid to the shopkeeper?  Choose the correct answer
A) A)Rs.598	B) B)Rs.594	C) C)Rs.460	D) D)Rs.595	E) None of these

Solution: Explanation:   Price of 15 kgs of rice at Rs.20/kg = 15x20 = Rs.300   Price of 8 kgs of pulses at Rs.20/kg = 8x20 = Rs.160   Therefore, Total amount = Rs.300+Rs.160 = Rs.460   Answer: Option Rs.460.300+  .160= 
.300+  .160 = 0.46
Rs.460   Answer: Option Rs.460
Answer: C
Two men can complete a piece of work in four days. Two women can complete the same work in eight days. Four boys can complete the same work in five days. If four men, eight women and 20 boys work together in how many days can the work be completed?
Answers
A) 1/2 day  B) 1/7 day  C) 3/2 day  D) 1/4 day  E) 7/2 day

Solution: Two men take four days to complete the work four men would take (2 * 4)/4= 
(2 * 4)/4 = 2
2 days to complete it.   Similarly four women would take two days to complete it and 20 children would take one day to complete it.   All the three groups working togerther will complete   1/2 + 1/2 + 1/1= 
  1/2 + 1/2 + 1/1 = 2
2 times the unit work in a day.   They will take 1/2 a day to complete it working together.   1/2 daynswer:1/2 day
Answer: A
A car ferry can hold up to 60 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 4 tons?
Choose the correct answer.
A) 12	B) 16	C) 20	D) 24	E) 28

Solution: The weight of one car and one truck is 4.75 tons.   60/4.75 = 12 plus a remainder   The ferry could carry 12 cars and 12 trucks for a total of 24 vehicles.   The answer is 24.
Answer: D
There are n cities. What is the number of airlines that connected 7 different cities (airline from city A to city B is different with airline from city B to city A)?	Choose the correct choice:
A) n(n-1)
B) n(n+1)
C) n(n-1)/2
D) n(n-6)
E) n2

Solution: First of all, the possible number of airlines is n. Then, the possible number of airlines departing from one city to another becomes (n-6). Hence, the answer is n(n-6), which makes A an answer choice.   n(n-6)
Answer: D
X, Y, and Z are different prime numbers. The product X^2*Y*Z is divisible by how many different positive numbers?  Options:
A) 4  B) 6  C) 8  D) 9  E) 12

Solution: The exponents of X^2*Y*Z are 2, 1, and 1.   The number of factors is (2+1)(1+1)(1+1) = 12   The answer is 12.
Answer: E
Of the p students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ?
Choices:
A) p + w- x- y
B) p - w- x- y
C) p- w - x + y
D) w + x + y- z
E) w - x - y - z

Solution: {Total} = {French} + {German} - {Both} + {Neither}   p = x + y - w + {Neither}   {Neither} = p + w - x - y.   p + w- x- ynswer: p + w- x- y.
Answer: A
Ravi and Kavi start a business by investing â‚¹ 4000 and â‚¹ 72000, respectively. Find the ratio of their profits at the end of year.  Choose one:  A) 2 : 28  B) 5 : 28  C) 7 : 18  D) 1 : 18  E) 3 : 18

Solution: Ratio of profit = Ratio of investments   = 4000 : 72000 = 1 : 18   Answer : 1 : 18
Answer: D
Shruti purchased several number of three articles P, Q and R in the proportion 3 : 2 : 3. If the unit costs of the articles P, Q and R are 200, Rs. 90 and Rs. 60 respectively, how many articles of Q must have been purchased in the total purchases of Rs. 4800?	Choose the correct choice from the following choices
A) 8
B) 10
C) 12
D) 14
E) 16

Solution: Explanation:   Let the number of articles of types P, Q and R be 3a, 2a and 3a respectively.   Thus, we get,   (200 x 3a) + (90 x 2a) + (60 x 3a) = 4800   960a = 4800   a = 5   Hence, the number of articles of type “Q” = 2x5 = 10   ANSWER 10
Answer: B
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 588 as interest at the end of the loan period, what was the rate of interest? Choose the correct choice from the following choices:
A) 7
B) 6
C) 18
D) 24
E) None of these

Solution: Let rate = R% and time = R years.   Then, (1200 x R x R)/100 = 588   12R2 = 588   R2 = 49   R = 7.   7nswer: Option 7
Answer: A
A normal six-sided die bearing the numbers 1, 2, 3, 4, 5, and 6 is thrown until the running
total surpasses 6. What is the most likely total that will be obtained?	Choose the correct choice from the following answers.
A) 7
B) 8
C) 9
D) 10
E) 11

Solution: The total before the last throw could be any number between one and six. The last   throw will also be a number between one and six but with equal probability. Seven is the only   final total that can come from each of these possibilities. Therefore seven is the most likely   final total.   correct answer 7
Answer: A
Mike earns $12per hour and Phil earns $6 per hour. Approximately how much less, as a percentage, does Phil earn than Mike per hour?  Choose the most appropriate option
A) 50%	B) 32.5%	C) 37%	D) 37.5%	E) 40%

Solution: What % less of 12 is 6   let it be x % less ,then   =12(1-x/100)=6   1-x/100=6/12   x=100/2= 
100/2 = 50
50%   50%ns 50%
Answer: A
A man can row 4.2 km/hr in still water. It takes him twice as long to row upstream as to row downstream. What is the rate of the current ?  Choose one.
A) 1.9  B) 1.7  C) 1.4  D) 1.5  E) 1.1

Solution: Speed of boat in still water (b) = 4.2 km/hr. Speed of boat with stream (Down Stream), D = b + u Speed of boat against stream (Up stream), U = b – u It is given upstream time is twice to that of down stream. ⇒ Downstream speed is twice to that of upstream. So b + u = 2(b – u) ⇒ u =b/3 = 1.4 km/hr.   Answer: 1.4
Answer: C
A candidate scoring 25% in an examination fails by 30 marks , while another candidate scores 50 % mark, gets 20 marks more than the minimum pass marks . Find the minimum pass marks. Find the minimum pass percentage.
Select the correct option
A) 40	B) 50	C) 60	D) 25	E) 30

Solution: x/4+30 = x/2-20   maximum marks = 200   min pass marks = 200/4+30= 
200/4+30 = 80
80=>80/200*100= 
80/200*100 = 40
40%   40NSWER 40
Answer: A
If a man buys 20 lollipops for $90 and sold them for $2 dollars determine his loss. Choose the correct choice from the following answers:
A) $35  B) $43  C) $50  D) $65  E) $72

Solution: $50ost of 20 lollipops = $90   Sold each lollipop for $2   So he sold 20 lollipops for $(20 × 2) = $40   Loss = $(90 – 40) = $50   Therefore, loss = $ 50.
Answer: C
Michelle has $80 to buy a new outfit. She found a skirt for $20, a blouse
for $25, and a belt for $8. How much does she have left to buy shoes?  Choose the correct choice from the following answers
A) $27 left.	B) $37 left.	C) $47 left.	D) $57 left.	E) $67 left.

Solution: 80 – 20 – 25 – 8 = 27   She has $27 left.   correct answer $27 left.
Answer: A
A container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 8 ounces of a solution that is 1 part alcohol to 3 parts water. What is the ratio of alcohol to water in the resulting solution?  Choose the correct choice from the following answers:
A) 2:5
B) 3:7
C) 3: 5
D) 4:7
E) 7:3

Solution: Container 1 has 12 ounces in the ratio 1:2   or,   x+2x=12 gives x(alcohol)=4 and remaining water =8   container 2 has 8 ounces in the ratio 1:3   or,   x+3x=8 gives x(alcohol)=2 and remaining water =6   mixing both we have alcohol=4+2 and water =8+6   ratio thus alcohol/water =6/14=3/7   ANSWER:3:7
Answer: B
The ratio of men to women in a class is 4 to 3. If 2 men and 7 woman drop out of the class and the ratio of men to women after the drop out is 2 to 1, then how many men are currently in the class?	Pick one:
A) 22 B) 20 C) 18 D) 19 E) 24

Solution: Equation on the basis of question   4x-2/3x-7=2/1   x=6   Original number of men = 4*6= 
4*6 = 24
24   Original Number of Women= 3*6= 
3*6 = 18
18   Current number of men= 24-2= 
24-2 = 22
22 (22nswer)   Current number of women= 18-7= 
18-7 = 11
11   Ratio= 22/11= 
22/11 = 2
2/1 ( Just to verify)   22ns 22
Answer: A
In a certain store, the profit is 320% of the cost. If the cost increases by 35% but the selling price
remains constant, approximately what percentage of the selling price is the profit  Choose the correct choice from the following answers.
A) 68%  B) 80%  C) 90%  D) 100%  E) None of above

Solution: Explanation:   Let C.P.= Rs. 100.   Then, Profit = Rs. 320,   S.P. = Rs. 420.   New C.P. = 135% of Rs. 100 = Rs. 135   New S.P. = Rs. 420.   Profit = Rs. (420 - 135) = Rs. 285   Required percentage = (285/420) * 100   = 68%(approx)   68%nswer: 68%
Answer: A
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?  Choose one
A) 3989	B) 2772	C) 2500	D) 2888	E) 1551

Solution: A:B:2500 = 2/3:1/6:1/6 = 4:1:1   x * 2/100 * 2/3 = 200   B capital = 15000*1/6= 
15000*1/6 = 2_500
2500   Answer: 2500
Answer: C
A factory produced 2300 TV sets in its first year of production. 4500 sets were produced in its second year and 500 more sets were produced in its third year than in its second year. How many TV sets were produced in three years?  Choose the correct choice from the following choices
A) 11,800
B) 15,900
C) 13,250
D) 17,900
E) 20,000

Solution: 500 TV sets were produced in the third year than in the second year. The number of sets produced in the third year is equal to   4,500 + 500 = 5,000   The number of TV sets produced in three years is equal to sum of the number of TV sets produced in each year   2,300 + 4,500 + 5,000 = 11,800   correct answer 11,800
Answer: A
A Baker decides to make a cake of 5 layers, one of strawberry, chocolate, butterscoch, vanila and pista. Baker decides not to put the layers of butterscoch and vanila next to each other as they both are white in colour. How many different type of such cakes can he make?  Choose the correct answer.
A) 5! - (4!×2!)  B) 4! - (6!×2!)  C) 3! - (2!×4!)  D) 4! - (4!×2!)  E) 5! × (4!×3!)

Solution: We can find the answer by substracting the number of arrangements in which V and B comes together from the total number of arrangements of 5 layers. Arrangements in which V and B comes next to each other: We can consider V and B as a single object having 2! Variations(VB and BV). VB, S, C, P can be arranged in 4! Ways. In total there are 4!×2! Ways of arranging 5 layers with B and V layers coming next to each other. Required answer = A. 5! - (4!×2!)
Answer: A
Two trains start from a certain place on two parallel tracks in the same directions. The speed of the trains are 45km/hr. and 40km/hr. respectively. The distance between the two trains after 45 minutes will be Choose the correct choice from the following answers
A) 2 km 500 m  B) 2 km 750 m  C) 3 km 750 m  D) 3 km 250 m  E) None of these

Solution: Explanation:   In one hour the distance between the trains is 5 km.   In 45 mins = ¾ hour the distance would be equal to ¾ X 50   = 3.75 Km = 3 Km 750 m.   Answer 3 km 250 m
Answer: D
Given that R is between 0 and 1, which of the following expressions has the greatest possible value? Choose the correct choice from the following answers.
A) (R-2)^4  B) (R+14)  C) (R+99)^(1/2)  D) (R+1)/(R-1)  E) (R-2)/(R-1)

Solution: Two of these expressions include division by a term that includes R. In both cases, the value of the denominator can be made arbitrarily close to zero, making the magnitude of the expression increase without bound. However, (R+1)/(R-1) will always have a positive numerator and negative denominator, so the expression will always be negative. (R+1)/(R-1) will always have a negative numerator and negative denominator, so the value will be positive. Therefore the answer is (R-2)/(R-1).
Answer: E
550, 620, 589, 100, 560, 50, 100
Which of the following numbers is lower than the median but greater than the mean of the set of the numbers in the list?	Choose the correct option:
A) 200 B) 310 C) 480 D) 550 E) 570

Solution: Yes, it can be solved with observation even without approximation in 30 sec.   Just observe given numbers: 50,100 ,100,550, 560, 580,620,   Median is very easy to tell - its 550. Now we want a number lower than 550 and greater than mean. How many numbers are lower than 550? DE are already out.   Now, we have 200, 310 and 480 and we want a number among these which is greater than mean. logically whatever be the mean, if one value out of these 5 has to be greater than mean it has to be 480. (Notice, if 200 is more than mean then 480 is also. If 31 is more than mean, 480 is also. )   Hence 480 it is!
Answer: C
A rectangle having length 89 cm and width 34 cm. If the length of the rectangle is increased by eighty percent then how much percent the breadth should be decreased so as to maintain the same area.	Choose one:  A) 25%  B) 33.33%  C) 47.33%  D) 75%  E) None of these

Solution: Explanation :   Solution: (80/(89+80) * 100)% = 47.33%   Answer : 47.33%
Answer: C