MU-NLPC/Calc-aqua_rat huggingface dataset:
By investing a 6% stock at 96 an income of Rs. 100 is obtained by making and investment of ?
Select.
A) Rs. 1600  B) Rs. 1504  C) Rs. 1666  D) Rs. 2000  E) Rs. 5760

Solution: For an income of Rs. 6, investment = Rs. 96.   For an income of Rs. 100, investment = Rs. (96 / 6) x 100 = Rs. 1600   Rs. 1600nswer : Rs. 1600
Answer: A
I bought two books; for Rs.540. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?	Select the correct option.
A) 197
B) 280
C) 189
D) 278
E) 315

Solution: x*(85/100)   = (540 - x)119/100   x = 315   Answer: 315
Answer: E
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?  Select
A) 176 m
B) 786 m
C) 500 m
D) 865 m
E) 796 m

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (800 + x)/60 = 65/3   x = 500 m.   Answer:500 m
Answer: C
If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true?
I. a + b + c > a^3
II. a × b × c < a^3
III. 5b > bc  Choose the correct choice from the following.
A) I only
B) II only
C) III only
D) II and III
E) I, II, and III

Solution: Only 'A' is possible solution. If a is even prime number i.e 2, b is 3 and c is 4   Putting the values in the answers only 'I only' seems valid.
Answer: A
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 10 years. Find the average age of the women? Choices
A) 87  B) 98  C) 30  D) 28  E) 23

Solution: 20 + 10 + 8 * 2= 
20 + 10 + 8 * 2 = 46
46/2= 
46/2 = 23
23   Answer:23
Answer: E
An investor purchased 100 shares of stock X at 8 1/8 dollars per share and sold them all a year later at 24 dollars per share. If the investor paid a 2 percent brokerage fee on both the total purchase price and the total selling price, which of the following is closest to the investor's percent gain on this investment?
Choose one
A) 92%
B) 240%
C) 190%
D) 300%
E) 380%

Solution: If the purchase price was 8$ per share then the investor would have made a profit of 200%.   Since the purchase price is slightly more than 8$ the profit would be slightly less than 200%.   Also a 2% brokerage is negligible and it brings down the profit percentage only by a small value. Approximation is very useful to solve these kind of problems as the answer choices are far apart.   Answer: 190%
Answer: C
For the positive numbers, n, n + 1, n + 2, n + 3, and n + 4, the mean is how much greater than the median?
Options
A) 0	B) 1	C) n+l	D) n+2	E) n+3

Solution: Let’s first calculate the mean (arithmetic average).   mean = sum/quantity   mean = (n + n + 1 + n + 2 + n + 3 + n + 4)/5   mean = (5n + 10)/5   mean = n + 2   Next, we determine the median. The median is the middle value when the terms are ordered from least to greatest. The terms ordered from least to greatest are as follows:   n, n + 1, n + 2, n + 3, n + 4   The median is n + 2.   Finally we are asked how much greater the mean is than the median. To determine the difference we can subtract the smaller value (the median) from the larger value (the mean) and we get:   n + 2 – (n + 2) = n + 2 – n – 2 = 0   The answer is 0
Answer: A
A football coach must choose 5freshers from a team of 12players. How many different ways can the coach choose the freshers?
Answers
A) 657	B) 689	C) 729	D) 776	E) 790

Solution: Choose 5 starters from a team of 12 players. Order is not important.   \inline {\color{Black} 12729_{5}}= 729   729
Answer: C
Difference between the length &breadth of a rectangle is 10 m. If its perimeter is 206 m, then its area is?	Select.
A) 2400 m^2
B) 1500 m^2
C) 2520 m^2
D) 1200 m^2
E) 2580 m^2

Solution: Solving the two equations, we get: l = 30 and b = 40.   Area = (l x b) = (30 x 40) m2 = 1200 m^2   1200 m^2
Answer: D
Find the product of the local value and absolute value of 4 in 564823 Answers.
A) 1600
B) 8000
C) 16000
D) 12000
E) 18000

Solution: Explanation:   Place value = Local value   Face value = Absolute value   The place value of 4 in 564823 is 4 x 1000 = 4000   The face value of 4 in 564823 is nothing but 4.   => 4000 x 4 = 16000   Answer: Option 16000
Answer: C
A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work?	Select the correct option:	A) 5 days	B) 21 days	C) 15 days	D) 25 days	E) 30 days

Solution: Explanation:   WC = 2:1   2x + x = 1/14 => x = 1/42   2x = 1/21   A can do the work in 21 days.   Answer: 21 days
Answer: B
A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choose the correct answer.
A) 40 B) 88 C) 77 D) 6 E) 23

Solution: Speed = 45 * 5/18 = 25/2 m/sec   Total distance covered = 360 + 140= 
360 + 140 = 500
500 m   Required time= 500 * 2/25= 
500 * 2/25 = 40
40 sec.40nswer: 40
Answer: A
Two brothers took the GMAT exam, the higher score is P and the lower one is Q. If the difference between the two scores is equal to their average, what is the value of Q/P ?
Options
A) 3
B) 2
C) 1/2
D) 1/3
E) There isn't enough data to answer the question.

Solution: Answer is 1/3 : 1/3   P - Q = (P + Q)/2   Solving for Q/P = 1/3   1/3
Answer: D
How many three digit number can be formed with the numbers 1,2,3,4,5. Choose the most appropriate option: A) 125 ways B) 150 ways C) 175 ways D) 180 ways E) 115 ways

Solution: Since the repetition of number allowed, the first place can be filled in 5 ways. The second place can be filled in 5ways.(repetition of numbers allowed). Third place can be arranged in 5ways. The required number of digit number =5x5x5=125 ways. 125 waysnswer :125 ways
Answer: A
A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. The total number W of ways this can be done is:	Select
A) 122	B) 210	C) 216	D) 217	E) 225

Solution: We should determine which 5 digits from given 6, would form the 5 digit number divisible by 3.   We have six digits: 0, 1, 2, 3, 4, 5. Their sum=15.   For a number to be divisible by 3 the sum of the digits must be divisible by 3. As the sum of the six given numbers is 15 (divisible by 3) only 5 digits good to form our 5 digit number would be 15-0={1, 2, 3, 4, 5} and 15-3={0, 1, 2, 4, 5}. Meaning that no other 5 from given six will total the number divisible by 3.   Second step:   We have two set of numbers:   1, 2, 3, 4, 5 and 0, 1, 2, 4, 5. How many 5 digit numbers can be formed using these two sets:   1, 2, 3, 4, 5 --> 5! as any combination of these digits would give us 5 digit number divisible by 3. 5!=120.   0, 1, 2, 4, 5 --> here we can not use 0 as the first digit, otherwise number won't be any more 5 digit and become 4 digit. So, desired # would be total combinations 5!, minus combinations with 0 as the first digit (combination of 4) 4! --> 5!-4!=4!(5-1)=4!*4=96   120+96= 
120+96 = 216
216=W   Answer: 216.
Answer: C
If f(x) = x^4 - 4x^3 - 2x^2 + 5x , then f(-1) = Pick one.
A) -4
B) -2
C) -1
D) 1
E) 2

Solution: f(-1) = (-1)^4 - 4(-1)^3 - 2(-1)^2 + 5(-1) = 1+4-2-5 = -2   The answer is -2.
Answer: B
There are 5 Rock songs, 6 Pop songs, and 3 Jazz. How many different albums can be formed using the above repertoire if the albums should contain at least one Rock song and one Pop song?
Choose one
A) 15,624 B) 16,384 C) 6,144 D) 384 E) 240

Solution: If there are 5 rock songs then there are 2^5 ways to make a combination. But there should be atleast 1 Rock song, so the total Rock combination will be 2^5 -1   Similar explanation for Pop   But the album can be formed without any Jazz so 2^3   ((2^5)-1) * ((2^6)-1) * 2^3   15,624ns: 15624
Answer: A
The table below shows how many coaches work with each of the major sports teams at Kristensen School. Although no single coach works with all three teams, 6 coaches work with both the Track and Tennis teams, 2 coaches work with both the Track and Baseball teams, and 1 coach works with both the Tennis and Baseball teams. How many different coaches work with these three teams?
Sports No of coaches
Track 8
Tennis 5
Baseball 4  Answers
A) 8  B) 9  C) 11  D) 12  E) 17

Solution: X = 8 + 5 + 4 - (6 + 2 + 1)= 
8 + 5 + 4 - (6 + 2 + 1) = 8
8   8nswer is 8
Answer: A
A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many J cubes are painted on only 2 faces?
Select the correct option:
A) 12
B) 8
C) 6
D) 10
E) 16

Solution: 1) Draw a simple cube   2) Draw 9 squares on each face of the cube (so that it looks like a Rubik's Cube) - this is what the cube will look like when it's cut into 27 equal smaller cubes.   3) Remember that the OUTSIDE of the cube is the part that's painted....   The mini-cubes with 2 painted sides are ALL on the edge of the cube, in themiddleof the edge. There are 4 in front, 4 in back and 4 more on thestripthat runs around the left/top/right/bottom of the cube. J=4 + 4 + 4= 
4 + 4 + 4 = 12
12. 12nswer 12
Answer: A
A certain car can travel 20 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?  Choose the correct choice from the following answers.
A) 33%  B) 20%  C) 25%  D) 30%  E) 40%

Solution: Total time for travelling 80 miles @ 60 mph = 80/60 = 4/3 hour = 80 minutes.   Given, the car uses 1 gallon for every 20 minutes of driving @ 60 mph. Thus in 80 minutes it will use = 4 gallons. Thus, full tank = 4+8= 
4+8 = 12
12 gallons ---> 4/12= 33% of the fuel used. 33% is the correct answer.
Answer: A
Two pipes A and B can fill a tank in 10 minutes and 20 minutes respectively. If both the taps are opened simultaneously, and the tap A is closed after 5 minutes, then how much more time will it take to fill the tank by tap B?
Choose the correct choice from the following options
A) 5min
B) 6min
C) 10min
D) 7min
E) 12min

Solution: Part filled in 5 min. = 5(1/10 + 1/20) = 5*3/20 = 3/4   Remaining part = 1 - 3/4 = 1/4   Part filled by B in 1min. = 1/20   1/20 : 1/4 :: 1:x   x = 1/4 *1 * 20= 
1/4 *1 * 20 = 5
5min   5minnswer is 5min
Answer: A
A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ? Choose the correct choice from the following answers:
A) 8:7:4
B) 1:3:5
C) 3:4:7
D) 4:5:9
E) None of these

Solution: Explanation:   A:B:CA:B:C =(40000Ã—36)=(40000Ã—36) :(80000Ã—12+40000Ã—24):(80000Ã—12+40000Ã—24) :(120000Ã—24+40000Ã—12):(120000Ã—24+40000Ã—12)   =144:192:336=144:192:336 =3:4:7=3:4:7.   ANSWER IS 3:4:7
Answer: C
5358 x 51 = ?	Answers:	A) 273255	B) 273257	C) 273258	D) 273260	E) 273262

Solution: 5358 x 51	= 5358 x (50 + 1)   = 5358 x 50 + 5358 x 1   = 267900 + 5358= 
267900 + 5358 = 273_258
273258.   273258)
Answer: C
Jacob brought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20%?  Pick one:
A) 300 B) 278 C) 500 D) 277 E) 261

Solution: Let the C.P. be Rs. x. Then, 20% of x = 1100   20/100 * x = 1100 => x = 5500   C.P. = Rs. 5500, expenditure on repairs = 10%   Actual price = Rs. (100 * 5500)/110 = Rs. 5000   Expenditures on repairs = (5500 - 5000) = Rs. 500.Answer: 500
Answer: C
The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8600. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Choose the correct choice from the following
A) s.4100
B) s.4270
C) s.4500
D) s.4550
E) s.2500

Solution: Sum of the salaries of the person for the months of January, February, March and April   = 4 * 8000= 
4 * 8000 = 32_000
32000 ----(1)   Sum of the salaries of the person for the months of February, March, April and May= 4 * 8600= 
4 * 8600 = 34_400
34400 ----(2)   (2)-(1) i.e. May - Jan= 2400   Salary of May is Rs.6500   Salary of January = Rs.4100   s.4100nswer:s.4100
Answer: A
How many integers between 100 and 600 are there such that their unit digit is odd?
Choose the correct choice from the following answers
A) 100  B) 250  C) 200  D) 50  E) 150

Solution: 500 numbers between - 100 and 600   Out of which half would be even, half odd.   Number of odd unit digit number =250.   correct option is 250
Answer: B
Right now, Al and Eliot have bank accounts, and Al has more money than Eliot. The difference between their two accounts is 1/10 of the sum of their two accounts. If Al’s account were to increase by 10% and Eliot’s account were to increase by 20%, then Al would have exactly $22 more than Eliot in his account. How much money does Eliot have in his account right now?
Choose the correct option:	A) $110	B) $152.3	C) $180	D) $220	E) $260

Solution: Lets assume Al have amount A in his bank account and Eliot's bank account got E amount. We can form an equation from the first condition.   A-E = 1/10*(A+E) ==> 9A = 11E ------------ (1)   Second condition gives two different amounts, Al's amount = 1.1A and Eliot's amount = 1.2E   1.1A = 22 + 1.2E ==> 11A =220 +12E -------(2)   Substituting (1) in (2):   11E/9*11 = 220+12E or (121/9-12) E = 220 or 13/9 E =220 E = 220*9/13 =152.3   $152.3
Answer: B
A shopkeeper sells 300 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?  Choose the correct answer
A) 12
B) 27
C) 29
D) 50
E) 65

Solution: SP per metre = 18000/300 = Rs. 60 Loss per metre = Rs. 5 CP per metre = 60 + 5 = Rs. 65.Answer: 65
Answer: E
Find the sum of prime numbers lying between 60 and 75?	Choose the correct option:
A) 198
B) 201
C) 252
D) 272
E) None

Solution: Solution   Required sum	= 61 + 67 + 71 + 73)   = 272.   Answer 272
Answer: D
The list price of an article is Rs.65. A customer pays Rs.57.33 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choose the correct choice from the following
A) 8%
B) 7%
C) 10%
D) 12%
E) 2%

Solution: Option 2%   2%xplanation:   65*(90/100)*((100-x)/100) = 57.33   x = 2%
Answer: E
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?  Pick one: A) 209 B) 210 C) 211 D) 213 E) 215

Solution: In a group of 6 boys and 4 girls, four children are to be selected such that at least one boy should be there.   Hence we have 4 options as given below   We can select 4 boys ...(option 1)   Number of ways to this = 6C4   We can select 3 boys and 1 girl ...(option 2)   Number of ways to this = 6C3 × 4C1   We can select 2 boys and 2 girls ...(option 3)   Number of ways to this = 6C2 × 4C2   We can select 1 boy and 3 girls ...(option 4)   Number of ways to this = 6C1 × 4C3   Total number of ways   = 6C4 + 6C3 × 4C1 + 6C2 × 4C2 + 6C1 × 4C3   = 6C2 + 6C3 × 4C1 + 6C2 × 4C2 + 6C1 × 4C1[∵ nCr = nC(n-r)]   =   6   ×   5   2   ×   1   +   6   ×   5   ×   4   3   ×   2   ×   1   ×   4   =6×52×1+6×5×43×2×1×4   +   6   ×   5   2   ×   1   ×   4   ×   3   2   ×   1   +   6   ×   4   +6×52×1×4×32×1+6×4   =   15   +   80   +   90   +   24   =   209   209nswer is 209
Answer: A
Set S contains points whose abscissa and ordinate are both natural numbers. Point P, an element in set S has the property that the sum of the distances from point P to the point (8, 0) and the point (0, 12) is the lowest among all elements in set S. How many such points P exist in set S?  Choose the correct choice from the following answers
A) 1
B) 5
C) 11
D) 8
E) 3

Solution: Explanatory Answer   The sum of the distances from point P to the other two points will be at its lowest only when point P lies on the line segment joining the points (8, 0) and (0, 12).   The equation of the line segment joining the points (8, 0) and (0, 12) is x/8 + y/12 = 1   Or the equation is 12x + 8y = 96 or 3x + 2y = 24.   The question states that the elements of set S contain points whose abscissa and ordinate are both natural numbers.   The equation of the line is 3x + 2y = 24 and hence, x will take even values while y will take values that are multiples of 3.   The values are x = 2, y = 9; x = 4, y = 6; x = 6, y = 3.   Hence, there are 3 such points that exist in set S.   The correct choice is (3)
Answer: E
When n is divided by 15, the remainder is 8. What is the remainder when 5n is divided by 6?	Choose one
A) 2  B) 6  C) 3  D) 4  E) 1

Solution: Let n=8 (leaves a remainder of 8 when divided by 48)   5n = 5(8) =40, which leaves a remainder of 4 when divided by 6.   Answer 4
Answer: D
In an express train, the passengers travelling in A.C. sleeper class, First class and Sleeper class are in the ratio 1 : 2 : 7, and rate for each class is in the ratio 5 : 4 : 2. If the total income from this train is 54,000 , find the income of Indian Railways from A.C. sleeper class.  Choose the correct option:
A) 12,000  B) 20,000  C) 22,000  D) 10,000  E) None of these

Solution: Let number of passengers = x, 2x, 7x   and Rate = 5y, 4y, 2y   Now, since income = Rate × Number of passengers   ∴ Income = 5xy, 8xy, 14xy   ∴ Income in ratio = 5 : 8 : 14   ∴ Income from A.C. sleeper class = 5/5+8+14×54,000   = 10,000   Answer 10,000
Answer: D
A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?	Choose the correct choice from the following options.
A) 1900	B) 2776	C) 8888	D) 1666	E) 1878

Solution: 2000 ---- 54   2000 ---- 39   x ----- 20   x*20 = 2000*39   x = 3900   2000   -------   1900   1900nswer: 1900
Answer: A
1000 men have provisions for 20 days. If 650 more men join them, for how many days will the provisions last now?	Choose the correct choice from the following answers
A) 12.9 B) 12.5 C) 12.6 D) 12.2 E) 12.1

Solution: 1000*20 = 1650*x   x = 12.1   Answer: 12.1
Answer: E
Danny spends $360 buying his favorite dolls. If he buys only small LemonHead dolls, which are $1 cheaper than the large LemonHead dolls, he could buy 5 more dolls than if he were to buy only large LemonHead dolls. How much does a large LemonHead doll cost? Choose the correct choice.
A) $5  B) $6  C) $7.2  D) $8  E) $9

Solution: X: Price of small dolls; Y: Price of big dolls.   Y = X +1   360(1/x - 1/y) = 5   <=>x.y = 72   We can make trial: 9x8 = 72.   Choose ($9) y = 9.
Answer: E
For what range of values of 'x ' will the inequality 15x - 2/x > 1?  Choose the correct choice.
A) x > 0.4	B) x < 1/3	C) -1/3 < x	D) -1/3 < x and x< 0, x > 2/5	E) x < -1/3 and x > 2/5

Solution: In Case 1 where x > 0, I agree. I calculated x > (-1/3) and x > 2/5, and because x > 0, it must be x > 2/5.   In Case 2 where x < 0, I don't understand why you say that the range must be x > -1/3 and x < 0, since the values that satisfy the inequality 15x^2 - x - 2 < 0show that x < -1/3 and x < 2/5.   I have the same doubt. Shouldn't the answer be -1/3 < x and x< 0, x > 2/5?   ____________   The answer IS -1/3 < x and x< 0, x > 2/5.
Answer: D
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 320 resolutions?	Choose the correct answer.
A) 724 m B) 704 m C) 287 m D) 450.6 m E) 927 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 320 resolutions.   = 320 * 2 * 22/7 * 22.4= 
320 * 2 * 22/7 * 22.4 = 45_056
45056 cm= 450.6 m   Answer:450.6 m
Answer: D
The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
Pick one:  A) 12a.m  B) 10a.m  C) 19a.m  D) 76a.m  E) 37a.m

Solution: D = 110 – 20 = 90   RS = 20 + 25= 
20 + 25 = 45
45   T= 90/45= 
90/45 = 2
2 hours   8 a.m. + 2= 10 a.m.   Answer: 10a.m
Answer: B
In a partnership between A, B and C. A's capital is Rs.2000. If his share of a profit of Rs.600 is Rs.200 and C's share is Rs.130, what is B's capital?
Choose the correct choice from the following answers
A) Rs.5500	B) Rs.5600	C) Rs.5700	D) Rs.5300	E) Rs.5400

Solution: 200 + 130= 
200 + 130 = 330
330   600 - 330= 
600 - 330 = 270
270   200 ---- 2000   270 ---- ?=> Rs.5400   ANSWRs.5400R:Rs.5400
Answer: E
A certain auto manufacturer sold 5% fewer vehicles in 2007 than in 2006. If the manufacturer sold 3.0 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?  Choose the correct choice from the following choices:
A) 24,00,000 B) 25,00,000 C) 28,50,000 D) 29,50,000 E) 29,70,000

Solution: Let's assume in 2006 the manufacturer sold X.   In 2007 he sold X-5/100(X)   If sales in 2006,X= 3.0 million find X-5/100(X)   (3.0 x 10^6)-5/100(3.0 x 10^6)   3000000-1,50,000=28,50,000-----> 28,50,000(approx)   Answer-28,50,000
Answer: C
What is the probability of flipping a fair coin five times and the coin landing on heads on at least two flips? Choose the correct choice from the following answers:
A) 5/8	B) 7/8	C) 11/16	D) 13/16	E) 27/32

Solution: The number of possible outcomes is 2^5=32.   0 heads: There is 1 way to have all tails.   1 head: There are 5 ways to have one head.   P(0 or 1 head)=6/32=3/16   P(at least 2 heads)=1 - 3/16 = 13/16   The answer is 13/16.
Answer: D
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is: Choose one:
A) 234
B) 127
C) 274
D) 918
E) 121

Solution: Required number = H.C.F. of (1657 - 6) and (2037 - 5)   = H.C.F. of 1651 and 2032 = 127.   Answer:127
Answer: B
A runner runs the 40 miles from Marathon to Athens at a constant speed. Halfway through the run she injures her foot, and continues to run at half her previous speed. If the second half takes her 8 hours longer than the first half, how many hours did it take the runner to run the second half?
Choose the correct option
A) 10  B) 12  C) 16  D) 20  E) 24

Solution: The runner runs the first 20 miles at speed v and the second 20 miles at speed v/2.   The time T2 to run the second half must be twice the time T1 to run the first half.   T2 = 2*T1 = T1+8   T1 = 8 and so T2 = 16.   The answer is 16.
Answer: C
How many multiples of 5 are there between 5 to 105?	Choose the correct choice from the following choices:
A) 9	B) 18	C) 17	D) none of these	E) 19

Solution: Explanation :   As you know, multiples of 5 are integers having 0 or 5 in the digit to the extreme right (i.e. the units place).   So the numbers are 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100.   Answer : 19
Answer: E
A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 12days, A finished the remaining work. In how many days A alone can finish the job?	Pick one
A) 10
B) 25
C) 60
D) 16
E) 20

Solution: A+B 10days work = 10*1/40 +  10= 
+  10 = 10
10*1/40= 1/4   Remaining work = 1-1/4 = 3/4   3/4 work is done by A in 12 days   whole work will be done by A in  12*4/3= 
 12*4/3 = 16
16days   Answer is 16
Answer: D
If 60% of 3/5 of a number is 36, then the number is?
Choose one.
A) 80 B) 100 C) 75 D) 90 E) None of these

Solution: Let the number be x. Then 60% of 3/5 of x=36   60/100*3/5*x=36   x=(36*25/9)= 
(36*25/9) = 100
100   Required number=100.   Correct Option: 100
Answer: B
A man can do a piece of work in 15 days, but with the help of his son, he can do it in 6 days. In what time can the son do it alone?
Options.
A) 13  B) 9  C) 15  D) 8  E) 10

Solution: Son's 1day's work = (1/6)-(1/15) = 3/30= 1/10   The son alone can do the work in 10 days   Answer is 10
Answer: E