MU-NLPC/Calc-aqua_rat huggingface dataset:
If 4<x<6<y<10, then what is the greatest possible positive integer difference of x and y? Choose the correct choice from the following answers:
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: 4 < x < 6 < y < 10;   4 < x   y < 10   4 + y < x + 10   y - x <6.   Positive integer difference is 5 (for example y = 9.5 and x = 4.5)   Answer: 5.
Answer: C
In a certain school, there are 80 Freshmen, 100 Sophomores, and 220 Upperclassmen, drawn from three cities: A, B, and C. Sixty percent of students are from A, 30% from B, the rest from C, and all these students from C are freshmen. Half the student from B are upperclassman, and the rest are split evenly between the other two grades. How many sophomores are from A?
Choose the most appropriate option
A) 60	B) 70	C) 80	D) 90	E) 100

Solution: Answer = 70 = 70
Answer: B
A chair is bought for Rs.200/- and sold at Rs.320/- find gain or loss percentage Pick one:
A) 75% loss
B) 20% gain
C) 60% gain
D) 30% gain
E) 35% gain

Solution: Formula = (Selling price ~ 60% gainost price)/60% gainost price * 100   = (320- 200)/200 = 60% gain   60% gain
Answer: C
If the selling price of 50 articles is equal to the cost price of 45 articles, then the loss or gain percent is:	Choose the correct choice from the following answers:	A) 45%	B) 10%	C) 20%	D) 60%	E) 56%

Solution: C.P. of each article be Re. 1.   Then, C.P. of 50 articles = Rs. 50;   S.P. of 50 articles = Rs. 45.   Loss % = 5/50 * 100= 
5/50 * 100 = 10
10%   ANSWER 10%
Answer: B
A rectangular rug with side lengths of 6 feet and 6 feet is placed on a square floor that has an area of 64 square feet. If the surface of the rug does not extend beyond the area of the floor, what fraction of the area of the floor is not covered by the rug?
Choose the correct choice:
A) A.3/16
B) 1/4
C) C.1/2
D) 7/16
E) 7/8

Solution: Area of the rectangular rug = 6*6= 
6*6 = 36
36   Fraction not covered by the rug= (Total Area - Rug area) / Total Area   = (64 - 36)/64   = 7/16=7/16
Answer: D
A car travels the first 1/2 of certain distance with a speed of 15 km/hr the next 1/4 distance with a speed of 20 km/hr, and the last 1/4 distance with a speed of 60 km/hr. the average speed of the car for the whole journey is?
Choose one.
A) 12km/hr	B) 20km/hr	C) 89km/hr	D) 52km/hr	E) 79km/hr

Solution: Let the whole distance travelled be x km   and the average speed of the car for he whole journey be y km/hr   then (x/2)/15+(x/4)/20+(x/4)/60=x/y   x/30+x/80+x/240=x/y   1/20y=1   y=20km/hr   Answer(20km/hr)
Answer: B
To save money, Arkadelphia Cream Cheese will reduce each dimension of its rectangular box container (which is entirely full of cream cheese) by 75%, and reduce the price it charges its consumers by 75% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for cream cheese?  Choices:  A) 1. No change  B) 2. 50%  C) 3. 100%  D) 4. 300%  E) 5. 1500%

Solution: L = 20: B = 10: H= 10 of initial box and Price = 100$   Therefore Price / cubic inch = 100 / (20*10*10)= 
100 / (20*10*10) = 1/20 = around 0.05
0.05   Now, when dimensions are reduced by 75% and price also reduced by 75%   L= 5; B=2.5; H=2.5 and Price = 25$   Therefore price / cubic inch = 25 / (5*2.5*2.5)= 
25 / (5*2.5*2.5) = 0.8
0.8   Percentage change= (0.8 - 0.05) *100/ 0.05= 
(0.8 - 0.05) *100/ 0.05 = 1_500
1500%   Answer is 5. 1500%
Answer: E
A bag contains 4 white balls, 4 black balls, and 3 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?  Answers:
A) 1/2	B) 1/4	C) 3/11	D) 5/16	E) 2/7

Solution: The probability for each ball to be drawn third is equal.   Then the probability a red ball is drawn third is 3/11.   The answer is 3/11.
Answer: C
Mahesh can do a piece of work in 40days. He works at it for 20days and then Rajesh finished it in 30days. How long will Y take to complete the work? Choose the correct choice from the following choices.
A) 45	B) 25	C) 37	D) 41	E) 60

Solution: Work done by Mahesh in 60days = 20*1/40 = 1/2   Remaining work = 1 - 1/2 = 1/2   1/2 work is done by Rajesh in 30days   Whole work will be done by Rajesh is   30*2= 
  30*2 = 60
60days   Answer is 60
Answer: E
Larry, Michael, and Jack have five donuts to share. If any one of the men can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed?  Select the correct option.
A) 21  B) 42  C) 120  D) 504  E) 5040

Solution: Larry, Michael, and Jack have five donuts to share. to get the answer, see how can we get sum5with 3 numbers.   1) 0,0,5 = 3 combinations or 3! /2!   2) 0,1,4 = 6 combinations or 3!   similarly   3) 0,2,3 = 6 combinations   4) 1,1,3 = 3 combination   5) 2,2,1 = 3 combination   total =21=21
Answer: A
X and Y started a business by investing Rs.36000 and Rs.42000 respectively after 4 months Z joined in the business with an investment of Rs.48000, then find share of Z in the profit of Rs.13750 ?
Choose the most appropriate option:
A) 3200	B) 4000	C) 3250	D) 3825	E) 3985

Solution: Ratio of investment, as investments is for different time.   Investment x Number of units of time.   Ratio of investments X : Y : Z = 36000 : 42000 : 48000 => 6 : 7 : 8.   X = 6 x 12 Months = 72, Y = 7 x 12 = 84, Z = 8 X 8 = 64 => 18 : 21 : 16.   Ratio of investments => X : Y : Z = 18 : 21 : 16.   Investment Ratio = Profit sharing Ratio.   Z = 13750 × 16/55 = Rs.4000.   Share of Z in the profit is Rs.4000.   Option 4000
Answer: B
The present ages of three persons in proportions 4 : 1 : 3. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Choose the correct choice from the following
A) 8, 20, 28
B) 16, 28, 36
C) 16, 28, 35
D) 40, 10, 30
E) 16, 28, 33

Solution: Let their present ages be 4x, x and 3x years respectively.   Then, (4x - 8) + (x - 8) + (3x - 8) = 56   8x = 80   x = 10.   Their present ages are 4x = 40 years, 1x = 10 years and 3x = 30 years respectively.   Answer:40, 10, 30
Answer: D
If set A={4,4,4,....,n times} , set B={3,3,3,3....m times} and set C={11,11,11...k time} , then in terms of m,n and k , how many possible subsets from sets A,B, and C can be created ?	Pick:
A) a) k(n+m+mn)+ k	B) b) (1+n+m+mn)(k+1)	C) c) k^2(mn+n/m)	D) d) kmn(k+m+n)	E) e) None of the above.

Solution: a) how many 2's are included?   b) how many 3's are included?   and   c) how many 11's are included?   For the number of 2, we could have zero 2's, or one 2, or two 2's, all the way up to n 2's. That's (n + 1) possibilities for the 2's. Similarly, (m + 1) possibilities for the 3's and (k + 1) possibilities for the 11's. We simply multiply these three numbers.   NOTICE that one set, the set that includes no 2's, no 3's, and no 11's, is included. This is known in mathematics as thenull set, sometimes called the empty set, a set with no members. Technically, this is a subset of every possible set, but that's a technical detail of set theory that goes well beyond what the GMAT would expect students to know. Even the the calculation is not that difficult, some of the technical aspects of this question are not in line with the GMAT's expectations.   The number of subsets is (m + 1)(n + 1)(k + 1). The answer is not given in that form. Instead, the first two factors have been FOILed together:   (mn + m + n + 1)(k + 1).   Mike   b) (1+n+m+mn)(k+1)
Answer: B
How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 60 m long and 16 1/2 m board? Pick one:
A) 99
B) 18
C) 16
D) 198
E) 15

Solution: 60 * 33/2 = 5/2 * 2 * x => x   = 198   Answer:198
Answer: D
John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair? Choose the correct option
A) 1 B) 3 C) 5 D) 6 E) 9

Solution: If he draws any combination of 3 socks he will definitely have the matching pair of either colour.   1
Answer: A
A dishonest dealer professes to sell his goods at Cost Price but still gets 15% profit by using a false weight. What weight does he substitute for a kilogram?
Choose the correct answer:
A) 869 1/7 grams
B) 869 13/23 grams
C) 869 8/3 grams
D) 869 1/3 grams
E) 832 1/23 grams

Solution: If the cost price is Rs.100, then to get a profit of 15%, the selling price should be Rs.115.   If 115kg are to be sold, and the dealer gives only 100kg, to get a profit of 15%.   How many grams he has to give instead of one kilogram(1000 gm).   115 gm ------ 100 gm   1000 gm ------ ?   (1000 * 100)/115 = 869 13/23 grams.   Answer:869 13/23 grams
Answer: B
If the radius of a circle is decreased 10%, what happens to the area?
Choose the most appropriate option:  A) 10% decrease  B) 19% decrease  C) 36% decrease  D) 40% decrease  E) 50% decrease

Solution: Area of Square = Pi* radius^2   New Radius = 0.9 * old radius   so new area = (0.9)^2 old area => 0.81 of old area =>81% old area   Ans : 19% decrease
Answer: B
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 22 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?  Choose the correct choice from the following choices.
A) 288	B) 516	C) 877	D) 278	E) 178

Solution: 1h ----- 5   ? ------ 60   12 h   RS = 22 + 21= 
22 + 21 = 43
43   T= 12   D = 43 * 12= 
43 * 12 = 516
516   Answer: 516
Answer: B
On a 20 mile course, Pat bicycled at an average rate of 30 miles per hour for the first 12 minutes and without a break, ran the rest of the distance at an average rate of 8 miles per hour. How many minutes did Pat take to cover the entire course?  Choose the correct answer.
A) 75	B) 105	C) 117	D) 150	E) 162

Solution: At an average rate of 30 miles per hour in 12 minute (1/5 hours) Pat covers (distance) = (time) * (rate) = 1/5*30= 
1/5*30 = 6
6 miles, thus she should cover the remaining distance of  20 - 6= 
 20 - 6 = 14
14 miles at an average rate of 8 miles per hour.   To cover 14 miles at an average rate of 8 miles per hour Pat needs (time)= (distance)/(rate) = 14/8= 
14/8 = 7/4 = around 1.75
1.75 hours= 105 minutes.   Therefore Pat needs total of   12 + 105= 
  12 + 105 = 117
117 minutes to cover the entire course.   Answer: 117.
Answer: C
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 1/5 of its present?
Choose the correct option
A) 61.5	B) 60.5	C) 63.5	D) 62.5	E) 125

Solution: Let capacity of 1 bucket = x   Capacity of the tank = 25x   New capacity of the bucket = 1x/5   Hence, number of buckets needed = 25x/(1x/5)=(25×5)/1=125   Answer is 125.
Answer: E
Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
A. 48 kmph Choose the correct choice from the following:
A) 33
B) 50
C) 28
D) 27
E) 16

Solution: Let the distances between city A to B and B to C be 2x km and 3x km respectively.   Total time taken to cover from A to C   = (2x)/40 + (3x)/60 = (6x + 6x)/120 = 12x/120 = x/10 Average speed = (2x + 3x)/(x/10) = 50 kmph.   Answer: 50
Answer: B
A rectangular grass field is 75 m * 40 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?	Answers:
A) s.1350
B) s.1327
C) s.1200
D) s.1397
E) s.1927

Solution: Area = (l + b +2d) 2d   = (75 + 40 +2.5 * 2) 2*2.5 => 600   600 * 2 = Rs.1200   Answer: s.1200
Answer: C
Chris age after 14years will be 5 times his age 5years back. what is the present age of Chris?  Select:
A) A)20 B) B)25 C) C)15 D) D)22 E) E)11

Solution: Chris present age= x   after 14years = x+14   5years back = x-5   x+14= 5(x-5)   x=11   Answer is 11
Answer: E
John and David were each given X dollars in advance for each day they were expected to perform at a community festival. John eventually performed on all 30 days of the festival, while David performed on 5 fewer days than John performed. If David gives John y dollars of her advance payment so that they would have each received the same daily rate, what was John paid in advance, in terms of Y?  Choose the correct choice from the following answers:
A) 11Y  B) 15Y  C) 13Y  D) 10Y  E) 5Y

Solution: Both of them were given X $ each   David to adjust Y $ in advance to John   So David now has (X-Y)$ and John has (X+Y) $ such that their daily rate becomes same   So Rate of David= Rate of John   11Ylso , David works for 25 days and John works for full 30 days   (X-Y) / 25 = (X+Y) / 30   Solving 30x-30y=25x+25y =>5x=55y => x=55/5= 
55/5 = 11
11Y   11Ynswer : 11Y
Answer: A
When x is divided by y, the quotient is z with remainder f. Which of the following is equal to f? Choose the correct answer:
A) yz – x
B) y/x−z
C) x – y – z
D) x – yz
E) zx – y

Solution: (x/y)=z(+f)   (18/8)=2(+2)   x-yz   which is   18-(8*2)= 
  18-(8*2) = 2
2   Answer is x – yz
Answer: D
At the first meeting of the amputees’ support group, there were
93 fewer handshakes than there would have been if everyone
had at least one arm and shook hands once with everyone else.
The people with less than one arm made up 1/11 of the group.
How many of them were there?
Answers
A) 2
B) 3
C) 4
D) 5
E) 6

Solution: perfect example to use the units digit to get the answer quick.   let's assume the answer is A, then (22*21)/2 - (20*19)/2 = 93?   we can actually ignore the second part (after the minus) of the equation because it will always end with a units digit of 0.   the first part will have a units digit of 1 --> (units digit of 2 * units digit of 1) / 2   for the rest   B) (33*32) / 2 --> (units digit 3 * units digit 2) / 2 = 3 (success)   C) (44*43) / 2 --> (units digit 4 * units digit 3) / 2 = 6 (fail)   D) (55*54) / 2 --> (units digit 5 * units digit 4) / 2 = 0 (fail)   E) (66*65) / 2 --> (units digit 6 * units digit 5) / 2 = 0 (fail)   Interesting approach, but I don't think the unit digit is correct for B, D and E. The even number will become half and that reduced number should be used to get the unit digit.   3) (33*32) / 2 --> (units digit 3 * units digit 6) = 8   D) (55*54) / 2 --> (units digit 5 * units digit 7) = 5   E) (66*65) / 2 --> (units digit 3 * units digit 5) = 5   answer is 3
Answer: B
Find the value of (1-(1/3))(1-(1/4))(1-(1/5))….(1-(1/100)).
Choose the correct choice:
A) 1/50	B) 3/50	C) 4/50	D) 6/50	E) 9/50

Solution: 1/50nswer is 1/50.
Answer: A
Find the missing number:
6 13 25 51 101 ?	Pick one.
A) 201 B) 202 C) 203 D) 204 E) 205

Solution: 203   203   6x2+1=13   13x2-1=25   25x2+1=51   51x2-1=101   101x2+1=203
Answer: C
There are 6 people in the elevator. Their average weight is 150 lbs. Another person enters the elevator, and increases the average weight to 151 lbs. What is the weight of the 7th person.  Choose the correct choice from the following answers.
A) 157	B) 168	C) 189	D) 190	E) 200

Solution: Solution   Average of 7 people after the last one enters = 151 .   âˆ´ Required weight = (7x151)-(6x150)   = 1057- 900= 
1057- 900 = 157
157.   157nswer 157
Answer: A
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:  Select the correct option:
A) 26
B) 25
C) 23
D) 22
E) 20

Solution: Let the number of hens be x and the number of cows be y.   Then, x + y = 48 .... (i)   and 2x + 4y = 140   x + 2y = 70 .... (ii)   Solving (i) and (ii) we get: x = 26, y = 22.   The required answer = 26.   26nswer is 26.
Answer: A
By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?	Choose the correct choice from the following options:
A) Rs.116.69
B) Rs.116.60
C) Rs.116.62
D) Rs.116.66
E) Rs.116.61

Solution: Let the cost of the brand be Rs. X per kg.   C.P. of 5 kg = (2 * 200 + 3 * x) = Rs. (400 + 3x)   S.P of 5 kg = Rs. (5 * 177) = Rs. 885   [885 - (400 + 3x)]/(400 + 3x) * 100 = 18   24250 - 150x = 3600 + 27x   177x = 20650 => x = 116 2/3   So, cost of the other brand = Rs.116.66.   Answer: Rs.116.66
Answer: D
For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 253 books with me to gift her.
Can you calculate, on which day is our anniversary? Select
A) 31
B) 28
C) 23
D) 33
E) 22

Solution: E   22rd day   1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 + 21 + 22= 
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 + 21 + 22 = 253
253   Thus our anniversary falls on the 22rd day of the month.   You can apply other formulas to shorten the process but that is the simplest way to do it.
Answer: E
Out of a classroom of 6 boys and 4 girls the teacher picks a president for the student board, a vice president and a secretary.
What is the probability that only girls will be elected?
Select.
A) 1/30 B) 4/30 C) 5/30 D) 7/30 E) 8/30

Solution: GBB (girl,boy,boy)   GGB (girl,girl,boy)   GGG (girl,girl,girl)   the probability of GGG is already known - 1/30.   1/30NS:1/30
Answer: A
The owner of a cell phone shop charges his customer 23% more than the cost price. If a customer paid Rs.8,517 for a cell phone, then what was the cost price of the cell phone?
Choose the correct choice from the following answers:  A) Rs.5,845  B) Rs.6,750  C) Rs.5,700  D) Rs.6,925  E) None of these

Solution: Explanation:   123% of CP =SP   Therefore, CP = Rs.8,517x100/123 = Rs.6925   Answer: Option Rs.6,925
Answer: D
The average expenditure of a labourer for 3 months was 85 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income is	Select.
A) 70.2  B) 50.1  C) 75.2  D) 78.4  E) 52.5

Solution: Income of 3 months = (3 × 85) – debt   = 255 – debt   Income of the man for next 4 months   = 4 × 60 + debt + 30   = 270 + debt   ∴ Income of 10 months = 525   Average monthly income = 525 ÷ 10 = 52.5   Answer 52.5
Answer: E
If a+b+c=21, what is the total number of non-negative integral solutions?	Choose the correct choice from the following options
A) 223	B) 233	C) 240	D) 243	E) 253

Solution: Think of it is a problem of diving 21 items to three people A, B & C which may or may not receive an item.   So simply use Combination here as (n-r+1) C (r-1) i.e.   (21+3-1) C (3-1) => 23 C 2 == > 253 solutions.   ANSW253R:253
Answer: E
If the sum of a number and its square is 72, what is the number?	Choose the correct choice from the following answers.
A) 15 B) 26 C) 8 D) 91 E) none of these

Solution: Let the number be x. Then,   x + x2 = 72   (x + 9)(x - 8) = 0   x = 8   ANSWER:8
Answer: C
A number when divided successively by 4 and 5 leaves remainder 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be?
Pick.
A) 0
B) 1
C) 2
D) 3
E) 4

Solution: Trying to get back the number first.   5x+4   4*[5x+4] + 1   so number is 20x +17   now divide it successively by 5 and then 4   (20x + 17)/ 5 = 2 remainder and 4x + 3is number left   now divide it by 4 we will get 3 remainder   ANSWER:3
Answer: D
Diesel costs Rs.4 per lit and petrol costs 6.23 per litre. If the price of diesel rise by 10% a month and the price of petrol is unchanged.How many months will it take until a litre of Diesel costs more than a litre of petrol.  Choose the correct choice from the following choices.
A) 9 months B) 5 months C) 6 months D) 3 months E) 2 months

Solution: Explanation :   =>In the First Month the price of the diesel would be 4*110/100= 
4*110/100 = 22/5 = around 4.4
4.4=>In the Second Month the price of the diesel would be 4.4*110/100= 
4.4*110/100 = 4.84
4.84=>In the Third Month the price of the diesel would be 4.84*110/100= 
4.84*110/100 = 5.324
5.324=>In the fourth Month the price of the diesel would be 5.324*110/100 = 5.85   =>In the fifth Month the price of the diesel would be 5.85*110/100 = 6.44 which is higher than the price of petrol   Answer : 5 months
Answer: B
A trader sold an article on a certain price with 20% profit. If he sold double of previous selling price then find its profit %  Answers:
A) 140%
B) 120%
C) 100%
D) 90%
E) 80%

Solution: let cost price = 100%   selling price = 120%   new s.p. = 240%   p% = 240-100= 
240-100 = 140
140%   140%nswer is 140%
Answer: A
Efrida and Frazer who live 12 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is two miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home? Select the correct option
A) 6
B) 7
C) 8
D) 10
E) 11

Solution: It's a simple geometry problem. Look at the diagram below:   Answer: 10.
Answer: D
A contractor undertakes to complete the construction of a tunnel 720 meters long in 240 days and employs 50 men for the purpose. After 120 days, he finds that only 240 meters of the tunnel is complete. How many more men should be employ in order to complete the work in time? Select.
A) 75 men
B) 80 men
C) 70 men
D) 60 men
E) 50 men

Solution: In 120days, only 240m of the tunnel is constructed by 50 men.   The remaining 120days, 480m of the tunnel can be constructed by 120 men.   Additional number of men required = 120 - 50= 
120 - 50 = 70
70 men.   ANSWER:70 men
Answer: C
If 9 - 4/X = 7 + 8/X, then X =	Choose the correct option:
A) 15	B) 6	C) 1	D) 5	E) 12

Solution: We're given the equation 9 - 4/X = 7 + 8/X. We're asked for the value of X.   The common-denominator of these 4 numbers is X, so we have to multiple 2 of the numbers to give them that denominator...   9X - 4X/X = 7X + 8X/X   We can then eliminate that denominator, which gives us....   9X - 4 = 7X + 8   12 = 2X   Both 2X and 12 have a common denominator of 2, so we divide both sides by 2 for our final answer...   6 = X   6
Answer: B
A person travelled from his house to office at 35km/hr and office to house at 65km/hr. Then find the average speed?
Select the correct option
A) 30km/hr
B) 45.5km/hr
C) 48km/hr
D) 50.5km/hr
E) 62km/hr

Solution: Average speed = (2*35*65)/(35+65)= 
(2*35*65)/(35+65) = 91/2 = around 45.5
45.5km/hrAnswer is 45.5km/hr
Answer: B
Two trains of equal length are running on parallel lines in the same directions at 46km/hr. and 36km/hr. The faster trains pass the slower train in 18 seconds. The length of each train is:  Pick
A) 25m B) 50m C) 72m D) 80m E) None of these

Solution: Explanation:   The relative speed of train is 46-36= 
46-36 = 10
10 Km/hr= (10 X 5) / 18 = 25/9 m/s10×518=259m/s   In 18 secs the total distance traveled is 18x25/9 = 50 m.   Therefore the length of each train is = 50/2= 
50/2 = 25
25 m.   25mnswer 25m
Answer: A
Find large no. from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 5 as remainder  Answers:  A) 1637  B) 1456  C) 1567  D) 1678  E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 5   5x = 1360   x = 272   Large number = 272+1365= 
272+1365 = 1_637
1637   1637
Answer: A
How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months?  Options.
A) 3000
B) 4000.75
C) 3587.5
D) 3500
E) 5020.75

Solution: I = (8200 * 2.5 * 17.5)/100 = (8200 * 5 * 35)/(100 * 2 * 2) = Rs. 3587.50   ANSWER 3587.5
Answer: C
Mohit sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?	Choices:
A) 15000 B) 15002 C) 26879 D) 26992 E) 12681

Solution: Let the CP be Rs. x.   Had he offered 10% discount, profit = 8%   Profit = 8/100 x and hence his SP = x + 8/100 x   = Rs. 1.08x = 18000 - 10/100(18000)   = 18000 - 1800 = Rs. 16200   => 1.08x = 16200   => x = 15000   15000nswer: 15000
Answer: A