MU-NLPC/Calc-aqua_rat huggingface dataset:
When a train travels at a speed of 110kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey?	Options
A) 12.5km
B) 50km
C) 60km
D) 8.5km
E) 9.5km

Solution: Let x be the time reached with the speed 110km/h   50km/h ----> x+15   Distance is equal so   110(km/h)× xhr = 50(km/h) × (x+15) hr   So   110 x = 50x + 750   So the would be in km   12.5kmnd x = 12.5   12.5kmNSWER:12.5km
Answer: A
Paul sells encyclopedias door-to-door. He earns $170 on every paycheck, regardless of how many sets he sells. In addition, he earns commission as follows:
Commission Sales
10% $0.00 - $10,000.00
5% $10,000.01 --->
He does not earndouble commission.That is, if his sales are $12,000, he earns 10% on the first $10,000 and 5% on the remaining $2,000.
His largest paycheck of the year was $1,320. What were his sales for that pay period?	Pick:
A) 13,000  B) 14,800  C) 16,400  D) 15,800  E) 19,600

Solution: His pay check was $1320.   Out of this, $170 was his fixed salary so the total commission he earned was $1320 - $170 = $1150   He earns 10% on the sales of first $10,000 which gives a commission of $1000.   He earns 5% on every subsequent dollar. Since he earns another $150, he must have had sales of another 150*(100/5)  1320 -  170= 
 1320 -  170 = 1_150
$1150   He earns 10% on the sales of first $10,000 which gives a commission of $1000.   He earns 5% on every subsequent dollar. Since he earns another $150, he must have had sales of another   150*(100/5)= 
  150*(100/5) = 3_000
3000   So his total sales must have been $10,000 + $3000= $13,000   13,000
Answer: A
John purchased 8kg of apples at the rate of 70 per kg and 9 kg of banana at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Pick one:
A) 950	B) 1000	C) 1055	D) 1060	E) 1080

Solution: Cost of 8 kg apples= 70 × 8 = 560.   Cost of 9 kg of bananas= 55 × 9 = 490.   Total cost he has to pay = 560 + 490 = 1055.   1055)
Answer: C
Find the average of all the numbers between 6 and 38 which are divisible by 4. Choose the correct choice from the following:
A) 18	B) 22	C) 20	D) 30	E) 28

Solution: Solution   Average	= ((8+12+16+20+24+28+32+36)/8)   = 186 / 7   = 22   Answer 22
Answer: B
If x and y are integers, and 4y+3x=23, which of the following could be the value of y ? Choose the correct choice from the following options
A) 0
B) 1
C) 4
D) 3
E) 2

Solution: Use answer options to solve this problem -   Put y = 2   So, 4y+3x=23   Or, 4(2)+3x=23   Or, 3x=23-8;3x=15   Or, x = 5   Answer will be (2)
Answer: E
A man can do a job in 15 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?	Choose one.
A) 6.3	B) 6.9	C) 6.4	D) 6.1	E) 6.2

Solution: 1 day work of the three persons = (1/15 + 1/20 + 1/25) = 47/300   So, all three together will complete the work in 300/47 = 6.4 days.   Answer:6.4
Answer: C
There are 2 scales of temp A & B. It was given A 14 to 133, B 36 to 87. Find the temp when temp of A is equal to temp of B  Answers:
A) 52.5 B) 53.5 C) 51.5 D) 54.5 E) 55.5

Solution: Actually, when corresponding ranges of two scales of temperatures are given, then, the formula to relate the two scales are given by, (A-l1)/(u1-l1) = (B-l2)/(u2-l2), where l1 and u1 are lower and upper limits of scale A; and l2 and u2 are lower and upper limits of scale B; and when it is l1 in scale A, it is l2 in scale B; and when it is u1 in scale A, it is u2 in scale B. Here, l1=14, u1=133, l2=36, u2=87. Substituting, we get (A-14)/(133-14)=(B-36)/(87-36). Or, 3(A-14)=7(B-36). When temperature readings are equal, i.e., 52.5=B=x, 3(x-14)=7(x-36), 4x=210, x=52.5   52.5NSWER:52.5
Answer: A
A class of students ate a total of 457 mints. If each student in the class ate at least 12 mints, then what is the greatest possible number of students in the class?	Choose the correct choice from the following options:
A) 36  B) 38  C) 40  D) 42  E) 44

Solution: 457/12=38 plus remainder.   The answer is 38.
Answer: B
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%?
Choose the correct option.
A) 309	B) 508	C) 389	D) 378	E) 500

Solution: Explanation:   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: E
In a colony of 70 residents, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of education to uneducated persons is 8:27, then find the ratio of the number of educated and uneducated men in the colony?
Choose the correct choice from the following answers.
A) 1:7  B) 1:1  C) 1:2  D) 1:9  E) 1:3

Solution: Number of men in the colony = 4/7 (70) = 40   Number of women in the colony = 3/7 (70) = 30   Number of educated women in the colony = 1/5 (30) = 6   Number of uneducated women in the colony = 4/5 (30) = 24   Number of educated persons in the colony = 8/35 (70) = 16   As 6 females are educated, remaining 10 educated persons must be men.   Number of uneducated men in the colony = 40 - 10= 
40 - 10 = 30
30   Number of educated men and uneducated men are in the ratio 10:30=> 1:3   Answer:1:3
Answer: E
Evaluate: 60 - 12÷4×2 =	Answers:
A) A)45
B) B)54
C) C)63
D) D)72
E) E)81

Solution: According to order of operations, 12÷4×2 (division and multiplication) is done first from left to right   12÷4×2 = 3 × 2 = 6   Hence   60 - 12÷4×2 = 60 - 6= 
60 - 6 = 54
54   correct answer is 54) 54
Answer: B
Bradley owns b video game cartridges. If Bradley’s total is one-fourth the total owned by James and six times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?	Choose the correct choice from the following choices.
A) (16/3)b B) (31/6)b C) (13/6)b D) (19/12)b E) (7/12)b

Solution: b = (31/6)bradley’s total   4b = James’s total   (1/6)b = Charlie’s total   Add each total   b + 4b+ (1/6)b = 5b + (1/6)b = = (31/6)b   Answer : (31/6)b
Answer: B
Jerry covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Choose the correct choice from the following options:
A) 29 Kmph  B) 15 Kmph  C) 23 Kmph  D) 22 Kmph  E) 19 Kmph

Solution: Total distance = 8 Km   Total time = 50 Km   Time taken to cover the distance of 3 Km = 50*2/5= 
50*2/5 = 20
20 min= 1/3 hours   Remaining distance = 8 - 3= 
8 - 3 = 5
5 Km   Required speed= 5/1/3 = 15 Kmph   15 Kmph
Answer: B
There are two decks of 10 cards each. The cards in each deck are labeled with integers from 11 to 20 inclusive. If we pick a card from each deck at random, what is the probability that the product of the numbers on the picked cards is a multiple of 5? Choose the correct answer:
A) 0.23	B) 0.36	C) 0.4	D) 0.42	E) 0.46

Solution: If 6 is a multiple, we need 2 and 3 as a factor of the number. If we factor the numbers 11 through 20 we have:   11 = 11   12 = 2*2*3   13 = 13   14 = 7*2   15 = 5*3   16 = 2*2*2   17 = 17   18 = 3*2*3   19 = 19   20 = 5*2*2   Combos that have a 2 and a 3 as factors (first + second card):   12 + anything - 19 of these possibilities (we count 12 + 12 only once)   14 + 15 - 2 of these possibilities   15 + 16 - 2 of these possibilities   15 + 20 - 2 of these possibilities   18 + anything (except 12, since that is counted in our first option) - 17 of these possibilities   Total possibilities that will be a multiple of 6: 42   Total possibilites:   10*10= 
  10*10 = 100
100   Probability= 42/100 = 0.36   Answer:0.36
Answer: B
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?	Choose the correct choice from the following answers.
A) 156 B) 245 C) 288 D) 265 E) 271

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time   = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2 ==> 2(130 + X)   = 750 ==> X   = 245 m.   Answer: 288
Answer: C
Ayesha's father was 35 years of age when she was born while her mother was 31 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choose the correct choice from the following options.
A) 2 years  B) 4 years  C) 6 years  D) 8 years  E) 9 years

Solution: Mother's age when Ayesha's brother was born = 31 years.   Father's age when Ayesha's brother was born = (35 + 4)= 
(35 + 4) = 39
39 years.   Required difference= (39 - 31)= 
(39 - 31) = 8
8 years. Answer: Option 8 years
Answer: D
In a certain village, 150 litres of water are required per household per month. At this rate, if there are 10 households in the village, how long (in months) will 6000 litres of water last?	Choose the correct choice from the following answers.
A) 8 B) 10 C) 6 D) 2 E) 4

Solution: I find it much easier to understand with real numbers, so choose (almost) any numbers to replace m,n and p:   In a certain village,m 150 litres of water are required per household per month. At this rate, if there aren 10 households in the village, how long (in months) willp2000litres of water last?   Water required is 150*10= 
150*10 = 1_500
1500 (m*n)   Water available is 6000 (p)   It will last 4 months (p/m*n)   Ans :4
Answer: E
Three persons are walking from a place A to another place B. Their speeds are in the ratio of 4 : 3 : 5. The time ratio to reach B by these
persons will be : Answers: A) 4 : 3 : 5 B) 15 : 20 : 12 C) 5 : 3 : 4 D) 20: 15 : 12 E) None

Solution: Sol.   Ratio of speeds = 4 : 3 : 5   ∴ Ratio of times taken = 1/4 : 1/3 : 1/5 = 15 : 20 : 12   Answer 15 : 20 : 12
Answer: B
In how many different ways can the letters of the word 'BANKING' be arranged so that the vowels always come together ? Choose the correct answer.
A) 740
B) 720
C) 800
D) 550
E) 690

Solution: In the word 'BANKING', we treat the two vowels AI as one letter. Thus,we have BNKNG (AI)   This has 6 letters of which N occurs 2 times and the rest are different.   Number of ways of arranging these letters= 6!/(2!)(1!)(1!)(1!)(1!)=360.   Now 2 vowels AI can be arranged in 2!=2 ways.   Required number of ways =(360*2)= 
(360*2) = 720
720.   Answer is 720
Answer: B
A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 70 minutes. When both pipes are opened, find when the cistern will be full?  Choose the correct choice from the following answers
A) 17 minutes B) 87 minutes C) 70 minutes D) 28 minutes E) 11 minutes

Solution: 1/20 - 1/70 = 1/28   28 minutes   Answer:28 minutes
Answer: D
Convert 700 miles into meters?  Select:
A) 784596 B) 1126538 C) 804670 D) 784596 E) 864520

Solution: 1 mile = 1609.34 meters   700mile = 700*1609.34= 
700*1609.34 = 1_126_538
1126538 meters   Answer is 1126538
Answer: B
If point A coordinates are (-5, -3) point B coordinates are (8 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.
Choose the correct choice from the following options.
A) (-2, - 2/3)
B) (2, -2/3)
C) (2/3, -2)
D) (0, 2)
E) (2, 2/3)

Solution: Look at the diagram below:   Line segment.pngSince, AC= 1/2 CB, then AC = 1/3 AB. This implies that point C is closer to A than to B, which on the other hand implies that the x-coordinate of C must be less than (-5+8)/2=0.5. Only D and A fits, but as (0 , 2) is clearly not on line segment AB, then the answer must be E.   Answer: (2, 2/3).
Answer: E
If it is 8:27 in the evening on a certain day, what time in the morning was it exactly 2,880,717 minutes earlier? (Assume standard time in one location.)	Answers.
A) 8:22	B) 8:24	C) 8:27	D) 8:31	E) 8:30

Solution: 8:27minus 2,880,717in any way must end with 0, the only answer choice which ends with 0 is E.   Answer: 8:30.
Answer: E
A train running at the speed of 60 km/hr crosses a pole in 7 seconds. Find the length of the train.  Pick one.
A) 116.67  B) 882  C) 772  D) 252  E) 121

Solution: Speed = 60*(5/18) m/sec = 50/3 m/sec   Length of Train (Distance) = Speed * Time   (50/3) * 7 = 116.67 meter.116.67nswer: 116.67
Answer: A
A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?	Choose the correct option.
A) 8 min B) 24 min C) 12 min D) 6 min E) 4 min

Solution: 4 minxplanation:   S = 600/40= 
600/40 = 15
15 mps   S= 3600/15= 
3600/15 = 240
240 sec= 4 min   4 min)
Answer: E
The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?	Choose the correct choice from the following answers:
A) 125	B) 66	C) 77	D) 16	E) 188

Solution: Sum of the 35 numbers = 35 * 25= 
35 * 25 = 875
875   If each number is multiplied by 5, the sum also gets multiplied by 5 and the average also gets multiplied by 5.   Thus, the new average= 25 * 5= 
25 * 5 = 125
125.   125nswer: 125
Answer: A
An employer has 4 applicants for a programming position and 4 applicants for a manager position. If the employer must hire 3 programmers and 2 managers, what is the total number of ways the employer can make the selection?
Choose the correct choice from the following choices:  A) a) 1,490  B) b) 132  C) c) 120  D) d) 60  E) e) 23

Solution: 4C3 * 4C2 = 24. Answer c) 120.
Answer: C
A clock is set right at 12 noon on Monday. It losses 1/2% on the correct time in the first week but gains 1/4 on the true time during the second week. The time shown on Monday after two weeks will be	Options:
A) 12:25:12  B) 11:34:48  C) 12:50:24  D) 12:24:16  E) None of these

Solution: Solution: Time lost over two weeks = 25% a week time(given that 1/2% clock loses in first week and in the second week it gains 1/4% on true time)   A week = 168 hours   Hence, clock lost = 0.42 hours = 25.2 minutes or 25 minute 12 seconds.   Thus, correct time = 12:25:12.   12:25:12nswer: Option 12:25:12
Answer: A
Two employees Y and Z are paid a total of Rs. 550 per week by their employer. If Y is paid 120 percent of the sum paid to Z, how much is Z paid per week?
Choose the correct option
A) A)Rs.200 B) B)Rs.220 C) C)Rs.250 D) D)Rs.300 E) E)Rs.350

Solution: Let the amount paid to Y per week = y   and the amount paid to Z per week = z   Then x + y = 550   But y = 120% of z = 120z/100 = 12z/10   ∴12z/10 + z = 550   ⇒ z[12/10 + 1] = 550   ⇒ 22z/10 = 550   ⇒ 22z = 5500   ⇒ z = 5500/22 = 500/2 = Rs.250   Rs.250
Answer: C
Townville has 100 residents, and 20 of them are females. If half of Townville’s male residents are smokers, and 1/4 of the female residents are smokers, which of the following represents the total number of Townville’s residents who are NOT smokers?  Pick one: A) 50 B) 60 C) 55 D) 65 E) 70

Solution: Number of people =100   Females = 20   men = 100-20= 
100-20 = 80
80   Half of the men are smoker  80/2= 
  80/2 = 40
40, that means the remaining men 80-40= 
80-40 = 40
40 are non smokers.   1/4 females are smoker. i.e 1/4*20= 5.   20-5= 
20-5 = 15
15 females are non smokers   So, total number of non smokers in the town are 40+15= 
40+15 = 55
55   Answer : 55
Answer: C
Emma worked for h hours each day for d consecutive days. If she earns $4.50 per hour, what is the total amount she earned? Choices
A) 4.50/d + h	B) 4.50 + d + h	C) 4.50 + dh	D) 4.50h + d	E) 4.50dh

Solution: H hours for d days.   Income each day = 4.5*h   Total income = 4.5*h*d   Correct option: 4.50dh
Answer: E
A clock is set at 5 a.m. The clock loses 16 minutes in 24 hours. What will be the true time when the clock indicates 10 p.m. on 4th day?
Answers:
A) 38	B) 11	C) 237	D) 29	E) 112

Solution: Time from 5 a.m. on a day to 10 p.m. on 4th day = 89 hours.   The faulty clock shows only 1424 min for 24 hours in correct clock.   So 1 minute of the faulty clock = 24/1424 hours   1 hour of the faulty clock = 24/1424 × 60 hours   89 hours of the faulty clock = 24/1424 × 60 × 89 = 90 hours.   So true time is 1 hour more than 10 pm. i.e., 11 pm.Answer11
Answer: B
Of the 100 people in a room, 2/5 are women. If 1/4 of the people are married, what is the maximum number of women in the room who could be unmarried?	Options: A) 32 B) 34 C) 36 D) 38 E) 40

Solution: women = 2/5 * 100= 
2/5 * 100 = 40
40   married= 1/4 * 100= 
1/4 * 100 = 25
25   unmarried= 75   max(un-married women) = 40   Answer 40
Answer: E
In Sam's hanger there are 22 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale? Choose the correct choice from the following choices: A) 1. B) 2. C) 3. D) 4. E) 5.

Solution: Total boxes = 22   Filled with toys = 16   Filled with appliance = 6   Total boxes for sale = 8   Toy boxes for sale = 5   Appliance boxes for sale = 3   Appliance boxes not for sale = 6 - 3= 
6 - 3 = 3
3   3.orrect Option: 3.
Answer: C
When tossed, a certain six-sided die has an equal probability of landing on any of the six sides. If the die is tossed 4 times, what is the probability that it will land on the same side each time?  Choose the correct option: A) 1/12 B) 1/18 C) 1/36 D) 1/216 E) 1/1296

Solution: On the first toss, the die will land on one of the sides.   On the second toss, the probability of landing on the same side is 1/6.   On the third toss, the probability of landing on the same side is 1/6.   On the fourth toss, the probability of landing on the same side is 1/6.   P(same side four times)=1/6*1/6*1/6=1/216.   The answer is 1/216.
Answer: D
There are 16 bees in the hive , then 6 more fly. How many bees are there in all?  Select:
A) 7 B) 33 C) 22 D) 17 E) 25

Solution: 16+6= 
16+6 = 22
22 . Answer is 22.
Answer: C
Current ages of Rahim and Thomas are in the ratio of 5 : 4 correspondingly. 0.4 decades hence, the ratio of their ages will become 11 : 9 correspondingly, What is Thomasâ€™s current age in years?
Choose one.
A) 24 years
B) 44 years
C) 32 years
D) 64 years
E) 84 years

Solution: 32 years   If current ages of Rahim and Thomas be 5A years and 4A years correspondingly   Then, 5A + 4 = 11   4A + 4 = 9   9(5A + 4)=11(4A + 4)   A = 8   Thomasâ€™s current age = 4A   = 32 years.   32 years
Answer: C
Lindsay can paint 1/x of a certain room in one hour. If Lindsay and Joseph, working together at their respective rates, can paint the room in four hours, what fraction of the room can Joseph paint in 20 minutes?	Choose one
A) 1/4x  B) x/(x-12)  C) (x-4)/12x  D) x/(x-4)  E) (x-4)/x

Solution: Let J be Joseph's rate per hour.   1/x + J = 1/4 of a room per hour   J = 1/4 - 1/x, of a room per hour   In 20 minutes, Joseph can paint 1/3*(1/4-1/x) = 1/12-1/3x = (x-4)/12x   The answer is (x-4)/12x.
Answer: C
The ratio of two quantities is incorrect when written as 10 to 14. How should this ratio be written?	Pick one
A) 5:14
B) 10:7
C) 20:24
D) 5:7
E) It cannot be determined from the information given

Solution: A ratio should be reduced to the lowest common denominator.   10:14 means 10x:14x which can be written as 5(2):7(2)...   ANSWER:5:7
Answer: D
If the annual increase in the population of a town is 10% and the present number of people is 13000, what will the population be in 2 years?
Select
A) 15730	B) 15240	C) 12456	D) 11452	E) 10002

Solution: The required population is = 13000 (1 + 10/100)^2   = 13000 * 11/10 * 11/10= 
13000 * 11/10 * 11/10 = 15_730
15730   15730nswer is 15730
Answer: A
The difference between the simple interest on a certain sum at the rate off 10% per annum for 2 years and compound interest which is compounded every 6 months is Rs. 124.05. What is the principal sum?	Pick one:
A) Rs. 6000
B) Rs. 8000
C) Rs. 12000
D) Rs. 10000
E) Rs. 5000

Solution: Explanation:   Let the sum be P   Compound Interest on P at 10% for 2 years when interest is compounded half-yearly   =P(1+(R/2)/100)2T − P = P(1+(10/2)/100)2×2 − P = P(1+1/20)4 − P = P(21/20)4 − P   Simple Interest on P at 10% for 2 years = PRT/100 = (P × 10 × 2)/100 = P/5   Given that difference between compound interest and simple interest = 124.05   => P(21/20)4 − P − P/5 = 124.05   => P[(21/20)4 − 1 − 15] = 124.05   => P[(194481 − 160000 − 32000)/160000] = 124.05   => P[2481/160000] = 124.05   => P = (124.05 × 160000)/2481 = 160000/20= 
160000/20 = 8_000
8000   Answer: Option Rs. 8000
Answer: B
Three people (1 couple and 1 single) are seated at random in a row of 4 chairs. What is the probability that the couple does not sit together?  Select:
A) 3/7  B) 1/2  C) 2/5  D) 3/4  E) 5/12

Solution: The total number of arrangements of 3 people is   4*3*2= 
  4*3*2 = 24
24   Let's think of the couple as a single unit.   The number of arrangements when the couple sits together is 3*2*2= 
3*2*2 = 12
12.   Note that we multiply by 2 because the couple can switch places with each other.   The number of ways the couple won't sit together is  24 - 12= 
 24 - 12 = 12
12   P(couple won't sit together)= 12/24 = 1/2   The answer is 1/2.
Answer: B
33 1/3% of 36? Select the correct option.
A) 16
B) 21
C) 18
D) 12 number
E) 18

Solution: Explanation:   33 1/3 % = 1/3   1/3 * 36= 
1/3 * 36 = 12
12   Answer: Option 12 number
Answer: D
The number of new words that can be formed by rearranging the letters of the word 'FACEUP' is ?	Choices
A) 720	B) 719	C) 220	D) 178	E) 266

Solution: Number of words which can be formed = 6! - 1   = 720 - 1= 
720 - 1 = 719
719.   Answer:719
Answer: B
Subtracting 30 from a number, the remainder is one fourth of the number. Find the number?
Choose the most appropriate option.
A) 29
B) 88
C) 40
D) 28
E) 27

Solution: Explanation:   3/4 x = 30 => x = 40   Answer:40
Answer: C
6 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?
Choose the correct option:
A) 4  B) 6  C) 16  D) 120  E) 256

Solution: it is like a circular arrangement.   total ways for n people to arrange in a circle is = factorial (n-1)   in this case n= 6   hence ans = 5 factorial = 120   hence 120
Answer: D
In the first hour of a two-hour trip, a car traveled 2d kilometers, and in the second hour of the trip, the car traveled one-half that distance. What is the average rate at which the car traveled during the trip, in kilometers per hour?
Choose one: A) d B) 1/3*d C) 1/2*d D) 3/4*d E) 3/2*d

Solution: Solution:   Lets look at the information given in the question...   Total time travelled = 2 hrs   Distance travelled first hour = 2d   Distance travelled second hour = d   The question is asking for the avg speed at which the car travels for 2 hrs   We know that avg speed = total distance/total time   Lets place the information given in the question to the formula above = (2d+d)/2   = 3/2*d   We find that option E is the answer as it gives the same expression as found in our calculation above. Answer option 3/2*d
Answer: E
In a apartment, 40% of the people speak English, 40% speak Hindi and 30% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?	Pick:	A) 1/2	B) 2/3	C) 2/5	D) 2/7	E) 2/9

Solution: P (E) = 40 / 100 = 4 / 10 , P (H) = 40 / 100 = 4 / 10 and P (E âˆ© H) = 30 / 100 = 3 / 10   P (E or H) = P (E U H)   = P (E) + P (H) - P (E âˆ© H)   = (4 / 10) + (4 / 10) - (3 / 10) = 4 / 10 = 1/2   1/2
Answer: A
Magna Bulk Corp sells boxes holding d magnets each. The boxes are shipped in crates, each holding b boxes. What is the price charged per magnet, in cents, if Magna Bulk charges m dollars for each crate? Choose one.
A) 100bd/m	B) 100m/(bd)	C) bd/(100m)	D) m/(bd)	E) bd/m

Solution: crate has = bd magnates   C crate cost = m dollars = 100 m cents   each magnate cost for each crate = 100 m / bd   Answer: 100m/(bd)
Answer: B
45 workers work 8 hours to dig a hole 30 meters deep. How many extra workers should be hired to dig another hole 40 meters deep by working for 6 hours?
Choose the correct answer:
A) 75 B) 80 C) 50 D) 35 E) 40

Solution: 45 workers * 8 hours / 30 meters = x * 6 / 40   x = 80 total workers     80 - 45= 
  80 - 45 = 35
35   The answer is 35.
Answer: D