MU-NLPC/Calc-aqua_rat huggingface dataset:
The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 19,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?
Select the correct option:
A) 5,476,811 kilometers squared
B) 9,500,148 kilometers squared
C) 9,843,123 kilometers squared
D) 1,878,965 kilometers squared
E) 4,787,900 kilometers squared

Solution: he difference between the areas of Russia and China is given by   19,098,242 - 9,598,094 = 9,500,148 kilometers squared   correct answer 9,500,148 kilometers squared
Answer: B
a and b are two bus stations 400 km apart. if two separate buses depart from both stations and travel towards each other, at what time do they meet each other given that the first bus left at 8 am and travels at a speed of 70 km/hr while the second bus left at 9 am and travels at a speed of 40 km/hr.  Pick one
A) 12 p.m  B) 2 p.m  C) 1 p.m  D) 10 p.m  E) 2.20 p.m

Solution: Suppose they meet x hours after 8 a.m.   Distance moved by first BUS in x hours + distance moved by 2nd BUS in x-1 hrs = 400   70x+40(x-1) = 400   70x+40x-40= 400   110x= 440   x = 4   So they meet 4 hr after 8 a.m. is at 12 p.m.   12 p.mnswer is 12 p.m
Answer: A
Solution A is 20% barium and Solution B is 80% barium. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% barium solution?	Choose the correct choice from the following answers:
A) 6:4  B) 6:14  C) 4:4  D) 4:6  E) 3:7

Solution: Forget the volumes for the time being.   You have to mix 20% and 80% solutions to get 50%. This is very straight forward since 50 is int he middle of 20 and 80 so we need both solutions in equal quantities. If this doesn't strike, use   w1/w2 = (A2 - Aavg)/(Aavg - A1)   w1/w2 = (80 - 50)/(50 - 20)= 
(80 - 50)/(50 - 20) = 1
1/1   So the volume of the two solutions will be equal. Answer has to be 4:4=4:4
Answer: C
If a coin is tossed twice, what is the probability that the coin lands on heads on both tosses?
Choose the correct choice from the following answers.
A) 1/6	B) 1/3	C) 1/4	D) 1/2	E) 1

Solution: P(2 heads) = 1/2*1/2=1/4   The answer is 1/4.
Answer: C
A bag is filled with pennies and nickels in the ratio of 5 to 3. There are 30 nickles in the bag, how many coins are there in that bag?  Choose the correct option:
A) 30	B) 35	C) 40	D) 42	E) 80

Solution: A ratio of pennies to nickels of 5 to 3 means that we can write the number of pennies and nickels in the form   number of pennies = 5x and number of nickels = 3x   But we know the number of nickels, 30. Hence   3x = 30   Solve for x   x = 10   The total number of coins is given by   5x + 3x = 8x  5  + 3= 
 5  + 3 = 8
8x= 8 × 10 = 80   80
Answer: E
Seven years ago the average age of a family of 2 members was 23 years. A child has been born. due to Which the average age of the family is 23 years today. What is the present age of the child?  Choose the correct answer
A) 35years  B) 32years  C) 30years  D) 25years  E) 20years

Solution: Explanation:   Average of the family of two numbers   7 years ago = 23   = (23+ 7) * 2 = 37 years   Average age of the family of three members at present = 23 years   = 23 * 3= 
23 * 3 = 69
69 YEARS   Age of child= 69 - 37= 
69 - 37 = 32
32 years   Answer: Option 32years
Answer: B
The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.14000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is	Choose the most appropriate option:
A) 20
B) 21
C) 22
D) 23
E) 28

Solution: Solution   Let the toatl number of workers be x.   Then 8000x=(14000 x 7) + 6000 (x -7)   x= 28.   Answer 28
Answer: E
A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 11 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours? Choose the correct choice from the following choices.
A) 18/79
B) 1/6
C) 1/25
D) 1/50
E) 17/900

Solution: Everything is correct except that you assumed the letters can't be repeated. It can be repeated.   AA   BB   CC   AB, AC, BC, BA, CA, CB.   Thus; total government vehicles = (10)^2*(3)^2 = 100*9= 
100*9 = 900
900   Vehicles inspected within 3 hours= 60*3/11 = 17   P = 17/900 = 1/50   Ans:17/900
Answer: E
Average of 10 matches is 32, How many runs one should should score to increase his average by 4 runs.	Choose the correct option:
A) 70	B) 76	C) 78	D) 80	E) 88

Solution: Explanation:   Average after 11 innings should be 36   So, Required score = (11 * 36) - (10 * 32)   = 396 - 320= 
396 - 320 = 76
76   Answer: Option 76
Answer: B
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Choose the correct choice from the following.
A) 1 B) 40 C) 20 D) 26 E) 30

Solution: Explanation :   Assume that in x days, one cow will eat one bag of husk.   More cows, less days (Indirect proportion)   More bags, more days (direct proportion)   ⇒ 40 × 1 × 40 = 1 × 40 × x   ⇒ x = 40 Answer : Option 40
Answer: B
In a rectangular coordinate system, points O (2,0), P (2,6), and Q (8,0) represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
Options
A) (3,4)  B) (5,3)  C) (3,2)  D) (3,3)  E) (4,3)

Solution: All points equidistant from O and Q lie on the line x = 5, so the fire station should lie on this line.   All points equidistant from O and P lie on the line y = 3, so the fire station should lie on this line.   These two intersect at (5,3) and that will be the point equidistant from all 3 points.   The answer is (5,3).
Answer: B
A car gets 28 miles to the gallon. If it is modified to use a solar panel, it will use only 80 percent as much fuel as it does now. If the fuel tank holds 15 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
Choose the correct answer.
A) 85  B) 90  C) 95  D) 100  E) 105

Solution: Originally, the distance the car could go on a full tank was   15*28= 
  15*28 = 420
420 miles.   After it has been modified, the car can go  28/0.8= 
 28/0.8 = 35
35 miles per gallon.   On a full tank, the car can go  15*35= 
 15*35 = 525
525 miles, thus 105 miles more.   The answer is 105.
Answer: E
If 4 2/3 is subtracted form 10 1/2 and the difference is multiplied by 450, then what is the final answer? Choose the most appropriate option.
A) 2725
B) 2675
C) 2875
D) 2525
E) None of these

Solution: Final answer = (10 1/2 - 4 2/3) * 450   = 5 5/6 * 450 = 5 * 450 + 5/6 * 450   = 2250 + 375= 
2250 + 375 = 2_625
2625.   ANSWNone of theseR:None of these
Answer: E
What does the hexa number E78 in radix 7.
Choose the correct option:
A) 12455	B) 14153	C) 14256	D) 13541	E) 14541

Solution: conversion of hexa decimal to decimal   (E78)=(8*16^0) + (7*16^1) + (14*16^2)=8 + 112 + 3584= 
8 + 112 + 3584 = 3_704
3704   conversion of decimal to Radix 7   3704/7:reminder:1 and dividend:529   529/7:reminder:4 and dividend:75   75/7:reminder:5 and dividend:10   10/7:reminder:3 and dividend:1   1/7:reminder 1   Then finally result is:13541   ANSWER:13541
Answer: D
Rectangular tile each of size 70cm by 30cm must be laid horizontally on a rectangular floor of size 110cm by 130cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:  Select the correct option:	A) 6	B) 7	C) 8	D) 9	E) 10

Solution: 6rea of tile = 70*30= 
70*30 = 2_100
2100   6rea of floor= 130*110= 
130*110 = 14_300
14300   No of tiles= 14300/2100 = 6.8   So, the no of tile = 6   6NSWER:6
Answer: A
Which of the following is closest to 10^170 – 10^30 ?  Choose the most appropriate option.
A) 10^210 B) 10^180 C) 10^170 D) 10^90 E) 10^6

Solution: 10^170 – 10^30   10^30 * (10^140 – 1)   as we know 10^2 - 1 means 100-1 and we get 99, which is approximately 100. hence (10^140 – 1) would remain as 10^140.   and 10^30 * 10^150 = 10^180. Answer is 10^170.
Answer: C
When average age of 25 members are 0, how many members greater than 0?  Pick:
A) 17 B) 24 C) 21 D) 23 E) 25

Solution: Average of 25 numbers = 0.   Sum of 25 numbers (0 x 25) = 0.   It is quite possible that 24 of these numbers may be positive and if their sum is a then 25th number is (-a)   Answer is 24 (24)
Answer: B
The average of the marks of 11 students in a class is 36. If the marks of each student are doubled, find the new average?  Answers
A) 69
B) 70
C) 71
D) 72
E) 75

Solution: Sum of the marks for the 11 students = 11 * 36= 
11 * 36 = 396
396. The marks of each student are doubled, the sum also will be doubled.   The new sum= 396 * 2= 
396 * 2 = 792
792. So, the new average= 792/11= 
792/11 = 72
72.   ANSWER:72
Answer: D
David works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. At 1 p.m. on a certain day, he noted that the population was 2,500 and then he left the lab. He returned in time to take a reading at 4 p.m., by which point the population had grown to 160,000. Now he has to fill in the missing data for 2 p.m. and 3 p.m. What was the population at 3 p.m.?
Pick.
A) 45,000  B) 40,000  C) 50,000  D) 55,000  E) 60,000

Solution: let the rate be x, then population of the bacteria after each hour can be given as 2500, 2500x, 2500(x^2), 2500(x^3)   now population at 4pm =160,000   thus we have 2500(x^3) = 160,000 =64   thus x=4   therefore population at 3pm = 2500(16) = 40,000   Answer : 40,000
Answer: B
A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 6 hours. During that time, the faster car traveled 1/3 of the distance XY. How long would it take the slower car to travel the distance XY?  Options.
A) 6 hours
B) 9 hours
C) 10 hours
D) 12 hours
E) 15 hours

Solution: If one car travelled 1/3, then the other car must have travelled only 2/3, as they are meeting after 6 hours in a certain point. So:   (2/3)XY= 6*y --> It took the car 6 hours to travel 2/3 of the distance at a constant speed y.   So if we solve this last equation:   2XY= 3*6*y= 9*y --> It will take this car 9 hours in total to reach its final destination.   Answer: 9 hours
Answer: B
X can do a piece of work in 40 days; Y can do the same in 30 days. X started alone but left the work after 10 days, then Y worked at it for 10 days. Z finished the remaining work in 10 days. Z alone can do the whole work in?	Choices:
A) days
B) days
C) days
D) 1/2 days
E) days

Solution: Explanation:   10/40 + 10/30 + 10/x = 1   x = 24 days   daysnswer: days
Answer: A
The average marks of 30 students in a class is 60. But a student mark is wrongly noted as 90 instead of 15 then find the correct average marks?	Choose the correct answer:
A) 55.65
B) 57.5
C) 62.5
D) 45.25
E) 50

Solution: correct avg marks = 60+(15-90)/30   avg = 60-2.5= 
60-2.5 = 57.5
57.5   Answer is 57.5
Answer: B
A man is 22 years older than his son. In THREE years, his age will be THRICE the age of his son. The present age of this son is Choose the correct choice.
A) 8 years  B) 2 years  C) 7 years  D) 8 years  E) 5 years

Solution: Let's Son age is x, then Father age is x+22.   => 3(x+3) = (x+22+3)   => 3x+9 = x+25   => 2x = 16 years = 8 YEARS   Answer: 8 years
Answer: D
In how many ways can the letters of a word 'ENGINEERING' be arranged such that vowels DO NOT together?	Choices:	A) 253000	B) 263000	C) 273000	D) 283000	E) 293000

Solution: ENGINEERING   total 11 letters   E=3,N=3,G=2,I=2,R=1,   Total no. of ways = 11!/3!3!2!2! = 277200   when vowels come together = (EEEII)NNNGGR => 7!/3!2! * 5!/3!2! = 4200   No. of ways when vowels DO NOT together = 277200 - 4200= 
277200 - 4200 = 273_000
273000   ANSWER:273000
Answer: C
If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of charcoal ?  Options:
A) White	B) BLUE	C) PINK	D) ORANCE	E) BLACK

Solution: Explanation:   Pink → Orange   Orange → Blue   Blue → Red   Red → Green   Green → Black   Black → White   The color of charcoal is 'Black' but in coding language, 'Black' is called 'White'.   WhiteNSWER: White
Answer: A
An art gallery owner is hanging paintings for a new show. Of the five paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?	Select:
A) 18
B) 30
C) 64
D) 20
E) 216

Solution: Arrangement means permutations questions..   5P3 = 5!/3! = 20   .   ANS option 20 is correct answer..
Answer: D
What is the area G of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?	Choose the correct answer
A) 60.	B) 85.	C) 125.	D) 225.	E) It cannot be determined from the information given

Solution: Length of one side= 15 (20-5)   Since, its a square, the area will be G= 15^2= 225   225. is the answer
Answer: D
The average weight of 8 persons is increased by 2.5 kg when one of them who weighs 56 kg is replaced by a new man. The weight of the new man is	Choose the correct choice from the following answers
A) 76 years  B) 78 years  C) 86 years  D) 16 years  E) 46 years

Solution: 76 yearsNSWER: 76 years
Answer: A
If a farmer sells 15 of his goats, his stock of feed will last for 4 more days than planned, but if he buys 20 more goats, he will run out of feed 3 days earlier than planned. If no goats are sold or bought, the farmer will be exactly on schedule. How many goats does the farmer have?  Select:
A) 12
B) 24
C) 48
D) 60
E) 55

Solution: Say farmer has n goat and he is good for d days.:-   We have 3 equations given in question:-   (n-15) * d+4 =(n+20) *(d-3) = n * d   Solving these: (You can solve 1st and 3rd and 2nd and 3rd together)   We get:   20d-3n=60   4n-15d =60   => n=60   Ans 60 it is!
Answer: D
As a bicycle salesperson, John earns a fixed salary of $10 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true? I. y<2x II. y>x III. y>3
Choose the correct choice from the following answers:
A) II,III only	B) I,III only	C) I,II only	D) II only	E) I only

Solution: II. y>x --> since this week, John earned more than he did last week and the total salary is in direct relationship with the # of bicycle sold, then y (# of bicycle sold this week) must be more than x (# of bicycle sold last week);   III. y>3 --> if John sold 3 bicycles this week then this week he earned 10+3*6= 
10+3*6 = 28
$28, which cannot be more than twice as much as he earned the last week, since the minimum salary is fixed to $10. So y must be more than 3;   I. y<2x --> is not always true.   II,III onlynswer: II,III only
Answer: A
The Sum of the average (arithmetic mean) of the even integers from 0 to 100 inclusive and the average (arithmetic mean) of the even integers from 0 to 50 inclusive? Select: A) 15 B) 125 C) 25 D) 75 E) 50

Solution: So, according to A mean of a set of even numbers from 0 to 100 =(0+100)/2= 
(0+100)/2 = 50
50 and mean of a set of even numbers from 0 to 50=(0+50)/2= 
(0+50)/2 = 25
25   Sum=50+25= 
50+25 = 75
75   Answer: 75.
Answer: D
The forth proportional to 15,30,45 is? Pick
A) 100
B) 45
C) 90
D) 75
E) 100

Solution: Let the fourth proportional to 15,30,45 be x   then 15:30::45:x   15x = 30*45   x = 90   Answer is 90
Answer: C
(4 x 10^4) + (2 x 10^2) + (4 x 10) =
Answers:	A) 302400	B) 32400	C) 40240	D) 3240	E) 324

Solution: When you multiply a number by 10 you just add a zero   => 4 x 10^4 => add 4 zeros => 4 x 10^4 = 40000   =>2 x 10^2 = 200   => 4 x 10 = 40   =>4 x 10^4 + 2 x 10^2 + 4 x 10 = 40000 + 200 + 40= 
40000 + 200 + 40 = 40_240
40240=> answer is 40240 ( 40240)
Answer: C
Souju's age is 150% of what it was 10 years ago, but 75% of what it will be after 10 years. What is her present age?  Select the correct option:
A) 25 years
B) 27years
C) 30 years
D) 42 years
E) 66 years

Solution: Let the age before 10 years =x. Then,   150x/100=x+10   â‡’150x=100x+1000   â‡’x=1000/50= 
1000/50 = 20
20   Present age=x+10=20+10= 
20+10 = 30
30   ANSWER:30 years
Answer: C
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. What is the speed of the car?	Choose the correct answer:
A) 22	B) 28	C) 120	D) 287	E) 278

Solution: Let speed of the car = x kmphThen speed of the train = (100+50)100x=150100x=32x kmphTime taken by the car to travel from A to B=75x hoursTime taken by the train to travel from A to B=75(32x)+12.560 hoursSince Both start from A at the same time and reach point B at the same time75x=75(32x)+12.56025x=12.560x=25×6012.5=2×60=120   Answer : 120
Answer: C
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 874 in 4 years. The sum is:
Options.
A) s. 650 B) s. 638 C) s. 698 D) s. 700 E) s. 760

Solution: S.I. for 1 year = Rs. (874 - 815) = Rs. 59.   S.I. for 3 years = Rs.(59 x 3) = Rs. 177.   Principal = Rs. (815 - 177) = Rs. 638.   Answer: Option s. 638
Answer: B
Sandy had $140 left after spending 30% of the money she took for shopping. How much money did Sandy take along with her?
Choose the correct choice from the following choices:
A) $180  B) $200  C) $220  D) $240  E) $260

Solution: Let the money Sandy took for shopping be x.   0.7x = 140   x = 200   The answer is $200.
Answer: B
A certain hall contains two cuckoo clocks. If the first clock chirps 20 times per hour and the second clock chirps 6 times per hour, and both clocks chirp for the first time at 2:03 pm, at what time will the first clock have chirped three times as many times as the second clock can chirp per hour?	Choose the correct choice from the following answers:
A) 2:33 pm
B) 2:45 pm
C) 2:54 pm
D) 3:06 pm
E) 3:12 pm

Solution: The question is asking when the first clock will have chirped 18 times (3*6 chirps).   The first clock chirps once every 3 minutes.   If the first chirp is at 2:03, then the 18th chirp is at 54 minutes after 2:00.   The answer is 2:54 pm.
Answer: C
Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:  Answers
A) 55 %
B) 26 %
C) 44%
D) 32 %
E) 16 %

Solution: Explanation:   Suppose, number of articles bought = L.C.M. of 6 and 5 = 30.   C.P. of 30 articles = Rs.(5/6*30)=Rs.25   S.P. of 30 articles = Rs.(6/5*30)=Rs.36   Gain %=(11/25*100)= 
(11/25*100) = 44
44%   ANSWER:44%
Answer: C
The average salary/head of all the workers ina workshop is Rs.850, if the average salary/head of 7technician is Rs.1000 and the average salary/head of the rest is Rs.780, the total no. of workers in the work-shop is ?	Answers:
A) 18 B) 20 C) 22 D) 23 E) 25

Solution: Let the total number of workers be y.   So sum of salary for all workers = sum of salary of 7 technician + sum of salary for other y -7 workers.   7 x 1000 + 780(y -7) = 850 y   ⇒ 7000 + 780y - 5460 = 850y   ⇒ 70y = 1540   ∴ y = 22   So total number of workers = 22   22
Answer: C
A certain box has 11 cards and each card has one of the integers from 1 to 11 inclusive. Each card has a different number. If 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average (arithmetic mean) of all the numbers written on the 11 cards?
Choose the correct answer
A) 1/11  B) 2/11  C) 2/33  D) 4/55  E) 5/66

Solution: The average of the numbers is 6   The total number of ways to choose 2 cards from 11 cards is 11C2 = 55.   The ways to choose 2 cards with a sum less than the average are:   {1,2},{1,3},{1,4},{2,3}   The probability is 4/55   The answer is 4/55.
Answer: D
A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?  Options
A) 2/15  B) 3/17  C) 5/26  D) 4/19  E) 5/21

Solution: P(Both are red),   =65/262135/262=65/262135/262   =5/26   5/26
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?  Answers.
A) 453 B) 568 C) 155 D) 150 E) 171

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time)   = (50/3 * 9)= 
(50/3 * 9) = 150
150 m.   Answer: 150
Answer: D
Before leaving for his business trip, Chad asks his assistant to choose and pack four shirts from his closet, which currently contains seven shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt will be one of the shirts packed but the blue shirt will not?  Answers:	A) 3/7	B) 3/14	C) 10/35	D) 5/28	E) 4/21

Solution: The total number of ways to choose 4 shirts from 7 is 710/354 = 35   The number of ways to choose a pink shirt plus 3 shirts from 5 is 510/353 = 10   P(a pink shirt but not a blue shirt) = 10/35 = 2/7   The answer is 10/35.
Answer: C
A bakery currently has 8 pies and 3 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies?  Choose the most appropriate option.
A) 3/7 B) 5/7 C) 4/11 D) 7/11 E) 23/33

Solution: The total number of ways to choose 5 from 11 is 11C5 = 462.   The number of ways that include 3 pies is 84/113*34/112 = 56*3= 
56*3 = 168
168   P(exactly 3 pies)= 168/462 = 4/11   The answer is 4/11.
Answer: C
x% of y is y% of ? Options.
A) x/y
B) 2y
C) x
D) 1
E) can’t be determined

Solution: x/100*y = y/100*(?)   So, x is the answer.   ANSWER:x
Answer: C
A invested some money in 10% stock at 96.If B wants to invest in an equally good 12% stock ,he must purchase a stock worth of :
Pick.
A) Rs. 80	B) Rs. 115.20	C) Rs. 120	D) Rs. 125.40	E) None of these

Solution: Solution   For an income of Rs. 10, investment = Rs. 96.   For an income of Rs. 12, investment = Rs.(96/12x12) = Rs. 115.20.   Answer Rs. 115.20
Answer: B
In how many Q ways can 4 white and 3 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.  Choose the correct answer:	A) 288	B) Q=144	C) Q=12	D) Q=48	E) 96

Solution: 4 white chess pieces can be arranged in 4! ways and 4 black pieces can be arranged in 3 ! ways.   W_W_W_W   Number of ways = 4!*3! = 24 * 6= 
24 * 6 = 144
144   Answer Q=144
Answer: B
A motor car starts with a speed of 50km/hr with its speed increasing every 2hours by 20kmph. In how many hours will it cover 510kms?  Choices:  A) 12 hr  B) 10hr  C) 9hr  D) 11hr  E) 8hr

Solution: Distance covered in first 2hours = 50*2= 
50*2 = 100
100km   Distance covered in next 2hours= 70*2= 
70*2 = 140
140km   remaining distance= 510- (100+140)= 
510- (100+140) = 270
270km   speed in the fifth hour= 90km/hr   total time to cover 270km = 270/90= 
270/90 = 3
3 hr   total time taken= 4+(3) = 12hours   correct option is 12 hr
Answer: A