MU-NLPC/Calc-aqua_rat huggingface dataset:
A factory that employs 1000 assembly line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1½ times that rate for hours worked in excess of 40. What was the total payroll for the assembly-line workers for a week in which 30 percent of them worked 30 hours, 50 percent worked 40 hours, and the rest worked 50 hours?	Answers:
A) $180,000	B) $185,000	C) $190,000	D) $200,000	E) $205,000

Solution: 30% of 1000 = 300 worked for 30 hours   Payment @ 5/hr   Total Payment = 300*30*5= 
300*30*5 = 45_000
45000   50 % of 1000= 500 worked for 40 hours   Payment @ 5/hr   Total payment = 500*40*5= 
500*40*5 = 100_000
100000   Remaining 200 worked for 50 Hours   Payment for first 40 Hours @ 5 /hr   Payment= 200*40*5= 
200*40*5 = 40_000
40000   Payment for next 10 hr @ 7.5/hr   Payment= 200 * 10 * 7.5= 
200 * 10 * 7.5 = 15_000
15000   Total Payment= 45000+100000 + 40000 +15000= 
45000+100000 + 40000 +15000 = 200_000
200000   Hence , answer is $200,000
Answer: D
if 6 women take an hour to dig a ditch, then how long should 18 women take a dig to ditch of the same type?  Pick one: A) 25 min B) 20 min C) 28 min D) 15 min E) 10 min

Solution: if 6 women take an hour to dig a ditch, then   18 men will take 6*60/18= 
6*60/18 = 20
20 mins to dig a ditch of the same type.   ANSWER:20 min
Answer: B
What is the range of values of b for which 1 - b^8 < 0 ?
Options:
A) b < -1 or b > 1 B) -1 <= b <= 1 C) b > 1 D) b < -1 E) 0 <= b <= 1

Solution: Stem can be rephrased as -   b^8 - 1 > 0   Hence b > 1 or b < -1   b < -1 or b > 1NSWER:b < -1 or b > 1
Answer: A
Alex climbs a mountain peak and back from base. He takes the exact same route both ways. On the trip out he climbs up at an average speed of 5 miles per hour. On the trip back he climbs down at an average speed of 25 miles per hour. What is his approximate average speed for the round trip in miles per hour? Options:	A) 8.33	B) 18.3	C) 20	D) 22	E) 25

Solution: Average speed = total distance/total time   Here distance to peak and back is same as he takes the same route.   D = 5T1 and D=25T2   Therefore, T1 = D/5 and T2 = D/25   T1+T2 = 6d/25   Therefore, average speed = 2d/6d/25 =2d * 25/6d   8.33nswer is 8.3 Since, the options are far away we need not solve till the decimal points   So correct answer is option 8.33
Answer: A
It was at a cocktail party in New York that I met Stephanie. We exchanged our phone numbers and decided to meet each other soon.
When she rang up and invited me to her house this is how she gave the number of her house.
I live in a long street. Numbered on the side of my house are the houses one, two, three and so on. All the numbers on one side of my house add up exactly the same as all the numbers on the other side of my house. I know there are more than fifty houses on that side of the street, but not so many as five hundred'
can you find Stephanie's house number? Select.
A) 200 B) 204 C) 199 D) 206 E) 210

Solution: B   204   The numbers of the houses on each side will add up alike if the number of the house be 1 and there are no other houses, and if the number be 6 with 8 houses in all, if 35 with 49 houses, if 204 with 288 houses, if 1189 with 1681 houses and so on. But we know that there are more than 50 and less than 500 houses, and so we are limited to a single case.   The number of the house must be 204.
Answer: B
A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 40, how many horses are there ?  Choose the correct choice from the following answers
A) 8
B) 12
C) 14
D) 16
E) 18

Solution: legs 8*4= 
8*4 = 32
32   now half on their horses so remaining on the walk so 4 men   4 men has 8 legs   so, 8+ 32= 40 legs walking   8NSWER:8
Answer: A
On a map, 1.5 inches represent 24 miles. How many miles approximately is the distance if you measured 46 centimeters assuming that 1-inch is 2.54 centimeters?	Select the correct option:
A) 174.2
B) 212
C) 288.1
D) 290
E) 282.4

Solution: 1.5 inch = 2.54*1.5 cm.   So, 2.54*1.5 represents 24 miles.   So for 46 cm.:   46/(2.54*1.5) = x / 24 ---> x = 24*46/(3.81) = 290   Answer will be 290.
Answer: D
If 65 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly? Choose one:	A) 45%	B) 40%	C) 35%	D) 30%	E) 25%

Solution: 65% answered the first question correctly and 20% answered neither correctly.   Then 15% missed the first question but answered the second question correctly.   Then the percent who answered both correctly is 55% - 15% = 40%.   The answer is 40%.55  - 15= 
55  - 15 = 40
40%.   The answer is 40%.
Answer: B
The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 40 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is......  Choose the most appropriate option.
A) 99
B) 100
C) 87
D) 95
E) 90

Solution: DETAILED SOLUTION   10 students have scored 600 marks amongst them, and no one is allowed to score lesser than 40 or higher than 100. The idea now is to maximize what the highest scorer gets.   The 5 least scores have an average of 55, which means that they have scored 55 x 5 = 275 marks amongst them. This leaves 325 marks to be shared amongst the top 5 students. Lets call them a, b, c, d and e. Now, in order to maximize what the top scorer “e” gets, all the others have to get the least possible scores (and at the same time, they should also get distinct integers.)   The least possible score of the top 5 should be at least equal to the highest of the bottom 5. Now we want to make sure that the highest of the bottom 5 is the least possible. This can be done by making all scores equal to 55. If some scores are less than 55, some other scores have to be higher than 55 to compensate and make the average 55. Thus the highest score is the least only when the range is 0.   So now, we have the lowest value that the top 5 can score, which is 55. The others have to get distinct integer scores, and as few marks as possible, so that “e” gets the maximum.   So, 55 + 56 + 57 + 58 + e = 325   e = 99 marks.   99nswer choice (99)
Answer: A
Two vessels contains equal number of mixtures milk and water in the ratio 4:2 and 5:1. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?  Choose the correct choice from the following options
A) 3:1  B) 9:13  C) 5:11  D) 11:3  E) 15:4

Solution: The ratio of milk and water in the new vessel is = (4/6 + 5/6) : (2/6 + 1/6)   = 9/6 : 3/6 = 3:1   3:1nswer is 3:1
Answer: A
Three men A,B, C and two women X, Y are to be seated in one row. Of all the seating arrangements possible, in how many of them X sits to the immediate left of one of the men?
Choose the correct choice from the following answers.
A) 12  B) 48  C) 60  D) 72  E) 96

Solution: take Men, X as one combination..   so total seats now are 4...   so ways 4 can be arranged is 4!..   but the men can be A, B or C, so 3 ways..   answer = 4!*3 = 24*3= 
24*3 = 72
72   ANSWER:72
Answer: D
The smallest 5 digit number exactly divisible by 41 is? Pick one.
A) 10003  B) 10004  C) 10007  D) 10009  E) 10010

Solution: The smallest 5-digit number = 10000.   41) 10000 (243   82   ---   180   164   ----   160   123   ---   37   ---   Required number = 10000 + (41 - 37)= 
10000 + (41 - 37) = 10_004
10004.   Option 10004
Answer: B
Mom mixed 2 1/2 pounds of apples, 1 1/8 pounds of grapes and 1 1/4 pounds of pears for a
salad. After setting aside 1 1/2 pounds of salad for today, she divided the rest of the salad equally
into 3 containers. What is the weight of the salad in one container?  Answers
A) 1 1/8 lb
B) 2 1/8 lb
C) 3 1/8 lb
D) 4 1/8 lb
E) 5 1/8 lb

Solution: 2 1/2 + 1 1/8 + 1 1/4 = 4 7/8 pounds of salad   4 7/8 - 1 1/2 = 3 3/8 pounds left   3 3/8 ÷ 3 = 27/8 ÷ 3/1 = 27/8 x 1/3 =   9/8 = 1 1/8 lb. in a container   correct answer 1 1/8 lb
Answer: A
A single letter is selected at random from the word 'MISSING'. The probability that it is a vowel is..??	Choose the correct option:
A) 2/11 B) 2/7 C) 4/11 D) 3/7 E) 1

Solution: total vowels = 2, total number of letters = 7   so probability = 2/7   ANSWER:2/7
Answer: B
A crew is made up of 8 men; the rest are women. 66+2/3% of
the crew are men. How many people are in the crew?	Pick one.
A) 11 B) 12 C) 13 D) 14 E) 15

Solution: 62+2/3/100=8/x   Multiply the opposites:   100 x 8 = 800   Divide by the remaining number:   800'/'66+2/3=800/1'/'200/3   -(800)/1*3/-(200)   erasing 800=4   erasing 200=1   we have    12/1= 
 12/1 = 12
12   correct answer 12
Answer: B
A certain fruit stand sold apples for $0.80 each and bananas for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $7.20, what total number of apples and bananas did the customer purchase?	Choose the correct choice from the following choices.
A) 10
B) 11
C) 12
D) 13
E) 14

Solution: Let's start with 1 apple for $0.80.   Let's subtract $0.80 from $7.20 until we get a multiple of $0.50.   $7.20, $6.40, $5.60, $4.80, $4.00 = 8*$0.50   The customer purchased 8 bananas and 4 apples.   The answer is 12.
Answer: C
For what value of x, is |x – 3| + |x + 1| + |x| = 11?
Choose the most appropriate option.
A) 0
B) 3
C) -3
D) 4
E) -2

Solution: For what value of x, is |x – 3| + |x + 1| + |x| = 11?   It's easiest just to plug in answer choices:   (-3): -3   |x – 3| + |x + 1| + |x| = 11?   |-3 - 3| + |-3 + 1| + |-3| = 11?   |6| + |2| + |3| = 11   (-3)  6  +  2  +  3= 
  6  +  2  +  3 = 11
11   (-3)
Answer: C
A butler stole wine from a butt of sherry which contained
40% of spirit and he replaced,what he had stolen by wine
containing only 16% spirit. The butt was then of 24%
strength only. How much of the butt did he steal?	Select:
A) 1/3 of the butt B) 2/3 of the butt C) 1/4 of the butt D) 1/8 of the butt E) 1/9 of the butt

Solution: Wine containing 40%spirit Wine containing 16% spirit   Wine containing 24% spirit   8 16   They must be mixed in the ratio of =1:2.   Thus 1/3 of the butt of sherry was left   hence the butler drew out 2/3 of the butt.   ANSWER : 2/3 of the butt 2/3 of the butt
Answer: B
John is traveling to a meeting that is 26 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time? Choose the correct option:
A) 25 mph	B) 37 mph	C) 41 mph	D) 52 mph	E) 56 mph

Solution: Well 52mph. D. Time*rate=distance --> 0.5*rate=26 --> rate=52
Answer: D
Find the number which is nearest to 457 and is exactly divisible by 11.  Choose the correct choice.
A) 450  B) 451  C) 460  D) 462  E) None

Solution: Solution   On dividing 457 by 11, remainder is 6.   Required number is either 451 or 462   Nearest to 456 is	= 462.   Answer 462
Answer: D
Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.931. Find the cost of each ice-cream cup?
Choose the most appropriate option:
A) 25  B) 76  C) 29  D) 12  E) 20

Solution: Explanation:   Let the cost of each ice-cream cup be Rs.x   16(6) + 5(45) + 7(70) + 6(x) = 931   96 + 225 + 490 + 6x = 931   6x = 120 => x = 20.   Answer:20
Answer: E
Rs. 5887 is divided between Shyam and Ram, such that Shyam's share at the end of 9 years is equal to Ram's share at the end of 11 years, compounded annually at the rate of 5%. Find the share of Shyam. Select.
A) 2088  B) 2000  C) 3087  D) None of these  E) Cannot be determined

Solution: Solution:   Shyam's share * (1+0.05)9 = Ram's share * (1 + 0.05)11   Shyam's share / Ram's share = (1 + 0.05)11 / (1+ 0.05)9 = (1+ 0.05)2 = 441/400   Therefore Shyam's share = (441/841) * 5887= 
(441/841) * 5887 = 3_087
3087.   Answer 3087
Answer: C
X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?
Choose the correct choice from the following options
A) 5  B) 4  C) 3  D) 6  E) 8

Solution: Investments of X, Y and Z respectively are Rs. 20000, Rs. 25000 and Rs. 30000   Let investment period of Z be x months.   Ratio of annual investments of X, Y and Z is (20000 * 12) : (25000 * 12) : (30000 * x)   = 240 : 300 : 30x = 8 : 10 : x   The share of Z in the annual profit of Rs. 50000 is Rs. 14000.   => [x/ (18 + x)] 50000 = 14000 => [x/ (18 + x)] 25 = 7   => 25x = 7x + (18 * 7) => x = 7 months.   Z joined the business after (12 - 7) months. i.e., 5 months.   5nswer: 5
Answer: A
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, B receives:  Choose the correct choice from the following options
A) s. 11,000  B) s. 11,300  C) s. 11,500  D) s. 11,700  E) s. 11,900

Solution: Let C = x.   Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.   So, x + x + 5000 + x + 9000 = 50000   3x = 36000   x = 12000   A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.   B's share = Rs. (35000 x 17/50) = Rs. 11,900.   s. 11,900
Answer: E
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is: Select the correct option:
A) 152000 m^2	B) 1532500 m^2	C) 153000 m^2	D) 153300 m^2	E) 153600 m^2

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^2.   153600 m^2)
Answer: E
The average number of shirts with Salman, Ambani and Dalmiya is 69, if all of them reached a shopping mall in Delhi and purchased 12 shirts each of them then average number of shirt each of them now has  Choose the most appropriate option
A) 66 B) 81 C) 62 D) can't be determined E) None of these

Solution: Answer   Required average   = Old average + New average   = 69 + 12= 
69 + 12 = 81
81   Correct Option: 81
Answer: B
The three competitors in a race have to be randomly chosen from a group of three men and four women. How many different such trios contain at least one woman?  Choose the correct choice from the following options.
A) 31 B) 34 C) 37 D) 40 E) 43

Solution: The total number of ways to choose three runners 7C3 = 35   The number of trios with only males is 3C3 = 1   The number of trios which include at least one woman is 34.   The answer is 34.
Answer: B
In how many ways, a committee of 5 members can be selected from
6 men and 5 ladies, consisting of 3 men and 2 ladies?
Choose the correct option
A) 100  B) 150  C) 200  D) 250  E) 300

Solution: (3 men out 6) and (2 ladies out of 5) are to be chosen.   Required number of ways = (6c3x5c2)   = [6x5x4/3x2x1] x [5x4/2x1]   = 200.   ANSWER 200 200
Answer: C
If n is a positive integer, then n*(n+1)*(n+2) is
Choose the correct option.
A) even only when n is even B) even only when n is odd C) odd whenever n is odd D) divisible by 3 only when n is odd E) divisible by 4 whenever n is even

Solution: n*(n+1)*(n+2)= +ve even integer divisible by 4 ( e.g 6,7&8)   divisible by 4 whenever n is even
Answer: E
If a, b, and c are consecutive positive even integers and a > b > c, which of the following could be equal to a + b + c ? Choose the correct choice from the following answers
A) 18	B) 2	C) -1	D) -3	E) -4

Solution: consectutive even , X , X + 2 , X + 4 where X = Even   now subtract X + (X+2) + (X+4)   doing this leaves us with 3X + 6   what even number can we substitute in X to yield an answer choice   18 works 18 (plug in 4 for X)
Answer: A
A retailer buys 40 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1% ,what is the profit % ?	Choose the correct choice from the following.
A) 5
B) 10
C) 15
D) 20
E) None of them

Solution: let the market price of each pen be Rs 1   then,C.P of 40 pens = Rs 36 S.P of 40 pens =99% of Rs 40=Rs 39.60   profit %=((3.60*100)/36)= 
((3.60*100)/36) = 10
10%   Answer is 10.
Answer: B
In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest? Select:
A) 8 1/3
B) 8 1/6
C) 8 1/0
D) 8 1/2
E) 8 1/5

Solution: (4000*3*R)/100 = (5000*5*4)/100   R = 8 1/3   8 1/3nswer: 8 1/3
Answer: A
The average salary of all the workers in a workshop is $1000. The average salary of 5 technicians is $5000 and the average salary of the rest is $500. The total number of workers in the shop is? Choose the correct choice
A) 25 B) 20 C) 15 D) 30 E) 18

Solution: Let the total number of workers be x   1000x = 5000*5 + 500(x-5)   x = 25   25nswer is 25
Answer: A
If 18 is 15 percent of 30 percent of a certain number, what is the number?	Choose the correct answer.
A) 9  B) 36  C) 40  D) 81  E) 400

Solution: Let the certain number be x.   => (15/100)*(30/100)*x = 18;   450x=18*10000;   45x = 18000;   x=18000/45   => x=400;   Ans is (400).
Answer: E
If 9^y = 3^12, what is y?	Choose the correct answer:
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: 3^2y = 3^12   2y=12, therefore y=6   6
Answer: E
An old priest fell on a bottom of the well of a church.
The well is 18 inches deep.
At day time, the old priest climbs 5-inches but when at dark he slip back 4 inches.
In how many days priest will come out of the well ?
Choose the correct option:	A) 16-days	B) 14-days	C) 11-days	D) 19-days	E) 10-days

Solution: 14-days   14-days   In 13-days, he will climb 13-inch and when he climbs 5 inch more, he will be out of the well :-)
Answer: B
Find the surface area of a cuboid 8 m long, 6 m broad and 10 m high	Pick one:
A) 376 sq.cm
B) 420 sq.cm
C) 516 sq.cm
D) 400 sq.cm
E) None of these

Solution: Explanation:   Surface area = [2 (8 x 6 + 6 x 10 + 8 x 10)] cm2 = (2 x 188)cm2 = 376 cm2.   376 sq.cmnswer: 376 sq.cm
Answer: A
A pump can fill a tank with a water in 2 hours. Because of a leak, it took 4 hours to fill the tank. The leak can drain all the water of the full tank in how many hours? Choose the correct choice from the following answers
A) 2  B) 3  C) 4  D) 5  E) 6

Solution: The rate of the pump + leak = 1/4   1/2 - leak's rate = 1/4   leak's rate = 1/2 - 1/4 = 1/4   The leak will empty the tank in 4 hours.   The answer is 4.
Answer: C
A train leaves Mumabai at 9 am at a speed of 45 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 90 kmph. When and at what distance from Mumbai do the two trains meet?	Choose the correct choice from the following answers.
A) 287
B) 279
C) 90
D) 278
E) 379

Solution: When the second train leaves Mumbai the first train covers 45 * 1= 
45 * 1 = 45
45 km   So, the distance between first train and second train is 45 km at 10.00am   Time taken by the trains to meet= Distance / relative speed = 45 / (90 -45)= 
45 / (90 -45) = 1
1 hours   So, the two trains meet at 2 p.m. The two trains meet 1 * 90= 
1 * 90 = 90
90 km away from Mumbai.   Answer:90
Answer: C
On the number line, the number p is twice as many units from -2 as -2 is from 3. If p is less than –2, what is the value of p ?	Pick one.
A) –12
B) –10
C) –6
D) 10
E) 14

Solution: Distance between -2 and 3 = 5   Since number p is twice as many units from -2 as -2 is from 3   , therefore p can be -12 Since , p is less than -2 ,   the value of p = -12   –12nswer –12
Answer: A
What is the smallest integer x for which 27^x > 3^24?
Choices
A) 7
B) 8
C) 9
D) 10
E) 12

Solution: 27^x> 3^24   9onverting into the same bases:   27^x> 27^8   Therefore for the equation to hold true, x> 8 or x= 9   Option 9
Answer: C
Walking at 50% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance?
Choose the most appropriate option:
A) 24
B) 36
C) 42
D) 48
E) 54

Solution: speed is inversly proprtional to time   walking at 50% of speed meand 1/2s takes 2t.   It takes 24 minutes extra to cover the distance. then   2t=t+24= 
+24 = 24
24.   Option 24 is correct
Answer: A
A boy is travelling from his home to school at 6km/hr and reached 7min late. Next day he travelled at 12km/hr and reached 8min early. Distance between home and school?	Choose the correct choice
A) 2km	B) 3km	C) 4km	D) 5km	E) 6km

Solution: Let the distance be x   T1 = x/6 hr   T2 = x/12hr   Difference in time = 7+8= 
7+8 = 15
15=1/4hr   x/6-x/12 = 1/4   x/12 = 1/4   x = 3 km   Answer is 3km
Answer: B
In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together? Choose the correct choice
A) 8*9!  B) 7*5!  C) 5*5!  D) 9!  E) 10*8!

Solution: 10 examination papers arranged   consider x   and req no of arranged = 8*9!   8*9!NSWER 8*9!
Answer: A
Angelina walked 200 meters from her home to the grocery at a constant speed. She then walked 300 meters to the gym at double the speed. She spent 50 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym? Choose the correct choice from the following answers: A) 2 B) 3 C) 4 D) 6 E) 12

Solution: let the speed be X...   so time taken from home to grocery= 200/x..   the speed to gym = 2x..   so time taken = 300/2= 
300/2 = 150
150/x..   its given 200/x-150/x=50..   50/x=50..   x=1m/secs..   so grocery to gym=2*1= 
2*1 = 2
2m/s...   2nswer : 2
Answer: A
A volunteer organization is recruiting new members. In the fall they manage to increase their number by 7%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring? Choose the correct choice from the following choices:  A) 16.16%  B) 15.55%  C) 14.44%  D) 13.33%  E) 12.22%

Solution: (100%+7%)*(100%-19%) = 1.07*.81= 
1.07*.81 = 0.8667
0.8667   1-0.8667= 13.33% lost = -13.33%   The Answer is 13.33%   The organization has lost 13.33% of its total volunteers from fall to spring.
Answer: D
A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?	Choose the correct option:
A) 200 B) 278 C) 282 D) 202 E) 270

Solution: Profit on first article = 20% of 1000 = 200.   This is equal to the loss he makes on the second article. That, is he makes neither profit nor loss.   200nswer: 200
Answer: A
The average age of 'a' boys is ‘b’ years and of ‘n’ girls ‘c’ years. The average age of all together is?
Choose the correct choice from the following answers:  A) (ab – nc)/ (a + n) years  B) (ab + nc)/ (a - n) years  C) (ab + nc)/ (a + n) years  D) (ab – nc)/ (a - n) years  E) None of these

Solution: (ab + nc) / (a+ n)   ANSWER:(ab + nc)/ (a + n) years
Answer: C
The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Answers
A) 18/35  B) 18/32  C) 18/19  D) 18/10  E) 18/31

Solution: If both agree stating the same fact, either both of them speak truth of both speak false.   Probability = 3/5 * 4/7 + 2/5 * 3/7   = 12/35 + 6/35 = 18/35   18/35nswer: 18/35
Answer: A
A cycle is bought for Rs.900 and sold for Rs.1350, find the gain percent?  Choose the correct choice from the following choices
A) 39%	B) 20%	C) 23%	D) 50%	E) 83%

Solution: 900 ---- 450   100 ---- ? =>   50%   Answer:50%
Answer: D
a person travels from his house to office from 11:00am to 11:30 am and covers a distance of 20km. find the average speed of the person.  Options:
A) 20.1km/h  B) 20.5km/h  C) 21.1km/h  D) 10km/h  E) 20.9km/h

Solution: time=11:30-11:00=30min=1/2hour   distance=20km   speed=20*1/2= 
20*1/2 = 10
10km/h   ANSWER:10km/h
Answer: D