MU-NLPC/Calc-aqua_rat huggingface dataset:
In a company of 12 employees, 5 employees earn $36,000, 4 employees earn $45,000, and the 3 highest-paid employees earn the same amount. If the average annual salary for the 12 employees is $47,500, what is the annual salary for each of the highest-paid employees? Answers
A) $60,000	B) $65,000	C) $70,000	D) $75,000	E) $80,000

Solution: 5*36,000+4*45,000+3x=12*47,500   3x=570,000-180,000-180,000   3x=210,000   x=70,000   The answer is $70,000.
Answer: C
If an article is sold at 20% profit instead of 14% profit, then the profit would be Rs. 180 more. What is the cost price?	Pick one.
A) Rs.1000  B) Rs. 2000  C) Rs. 3000  D) Rs. 4000  E) Rs.5200

Solution: Explanation:   Let the cost price of an article be Rs. x.   (20% of x) - (14% of x) = 180   20x/100 - 14x/100 = 105 => 6x = 180 * 100   => x = 3000   Cost price = Rs. 3000   Answer:Rs. 3000
Answer: C
Pipe P can fill a tank in 16 minutes and pipe Q cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe Q be closed, so that the tank is filled in 30 minutes? Answers:
A) 21	B) 20	C) 25	D) 22	E) 40

Solution: 30/16-X/24==>1   X/24=30/16-1==14/16   X=14/16*24= 
14/16*24 = 21
21   21NSWER 21
Answer: A
At a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 10. When 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 3 to 14. How many cooks does the restaurant have?	Choose the correct choice:
A) 4
B) 6
C) 9
D) 12
E) 15

Solution: Originally there were 3k cooks and 10k waiters.   14k = 10k+12   k=3   There are 9 cooks.   The answer is 9.
Answer: C
A gambler bought $3,000 worth of chips at a casino in denominations of $20 and $100. That evening, the gambler lost 16 chips, and then cashed in the remainder. If the number of $20 chips lost was 2 more or 2 less than the number of $100 chips lost, what is the largest amount of money that the gambler could have received back?	Choose the correct choice from the following choices:
A) $2,040  B) $2,120  C) $1,960  D) $1,920  E) $1,400

Solution: In order to maximize the amount of money that the gambler kept, we should maximize # of $20 chips lost and minimize # of $100 chips lost, which means that # of $20 chips lost must be 2 more than # of $100 chips lost.   So, if # of $20 chips lost is x then # of $100 chips lost should be x-2. Now, given that total # of chips lost is 16: x+x-2=16 --> x=9: 9 $20 chips were lost and 9-2= 
9-2 = 7
7 $100 chips were lost.   Total worth of chips lost is   9*20+7*100= 
  9*20+7*100 = 880
$880, so the gambler kept $3,000-$880=$2,120.   Answer: $2,120.
Answer: B
A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 2340, what will be B's share of the earnings?	Choose the correct choice from the following options.
A) $1100	B) $520	C) $780	D) $1170	E) $630

Solution: Explanatory Answer   A, B and C will share the amount of $2340 in the ratio of the amounts of work done by them.   As A takes 6 days to complete the job, if A works alone, A will be able to complete 1/6 th of the work in a day.   Similarly, B will complete 1/8th and C will complete 1/12th of the work.   So, the ratio of the work done by A : B : C when they work together will be equal to 1/6 : 1/8 : 1/12   Multiplying the numerator of all 3 fractions by 24, the LCM of 6, 8 and 12 will not change the relative values of the three values.   We get 24/6 : 24/8 : 24/12 = 4 : 3 : 2.   i.e., the ratio in which A : B : C will share $2340 will be 4 : 3 : 2.   Hence, B's share will be  3*2340/9= 
 3*2340/9 = 780
780   correct choice is ($780)
Answer: C
The timing of a college is from 11 p.m to 4.20 p.m. Five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. Find the duration of each lecture.  Choose the correct choice from the following choices
A) 56 minutes  B) 52 minutes  C) 30 minutes  D) 48 minutes  E) 44 minutes

Solution: Explanation:   Total time a student spends in college = 5 hours 20 minutes = 280 minutes   As there are 5 lectures, the number of breaks between lectures is 4. Total time of the break = 20 minutes   Hence, the duration of each lecture is = (280 â€“ 20)/5   = 52 minutes   ANSWER 52 minutes
Answer: B
Two identical cubes if one of them is painted pink on its 4 side and blue on the remaining two side then how many faces painted pink to other cube so that probability of getting cube is 1/3 when we roll both the cube.  Select the correct option.
A) 0
B) 1
C) 2
D) 3
E) 4

Solution: 0 faces should be painted pink i.e all faces blue   0NSWER:0
Answer: A
Find the altitude of a parallelogram whose are is
5400cm2 and the base is 45cm
Choices.
A) 80 cm B) 90 cm C) 100 cm D) 110 cm E) 120 cm

Solution: area of parallelogram =base * hight then 5400 cm2=45cm*h   h=120 cm   ANSW120 cmR:120 cm
Answer: E
In what time will a railway train 70 m long moving at the rate of 36 kmph pass a telegraph post on its way? Choose the correct choice from the following answers.
A) 8 sec
B) 1 sec
C) 9 sec
D) 7 sec
E) 2 sec

Solution: T = 70/36 * 18/5= 
70/36 * 18/5 = 7
7 sec   Answer:7 sec
Answer: D
30 ladies and 60 gentlemen are present at a party. There are 23 couples among them. If a lady and a gentleman is selected at random, what is the probability that they will be a couple?
Pick:
A) 1/200  B) 1/100  C) 1/50  D) 1/40  E) 23/1800

Solution: In how many ways we can select a woman and a man from 30 women and 60 men? In 30*60= 
30*60 = 1_800
1800 ways.   We have a total of 23 couples so, the probability of selecting a couple is 23/1800= 23/1800.   Ans- 23/1800
Answer: E
Sonika bought a V.C.R. at the list price of 18,600. If the rate of sales tax was 8%, find the amount she had to pay for purchasing the V.C.R. Choose the correct choice from the following answers:
A) 20,088	B) 19,780	C) 19,680	D) 19,380	E) None of these

Solution: Sol. List price of V.C.R. =18,600   Rate of sales tax = 8%   ∴ Sales tax = 8% of 18,600   = 8⁄100 × 18600 = 1488   So, total amount which Sonika had to pay for purchasing the V.C.R. = 18,600 + 1488   = 20,088. 20,088nswer 20,088
Answer: A
A number when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 31
Select the correct option:
A) 5 B) 3 C) 4 D) 6 E) 7

Solution: Explanation:   P ÷ 44 = 432   => P = 432 * 44= 
432 * 44 = 19_008
19008   P / 31= 19008 / 31 = 613, remainder = 5   Option 5
Answer: A
In a certain group of 13 members, 4 members teach only French and the rest teach only Spanish or German. If the group is to choose 3-member committee, which must have at least 1 member who teaches French, how many different committee can be chosen ?  Choose the correct choice from the following answers.
A) 198	B) 154	C) 202	D) 201	E) 200

Solution: 202ase 1   1french 2either German or Spanish: 42021 * 92022 = 144   202ase 2   2french 1either German or Spanish: 42022 * 92021 = 54   202ase 3   3french 42023 = 4   Answer is 202
Answer: C
Car A runs at the speed of 58km/hr & reaches its destination in 8hr. Car B runs at the speed of 70 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?	Choices:
A) 11 : 6  B) 12 : 7  C) 29 : 18  D) 15 : 6  E) 13 : 6

Solution: Sol. Distance travelled by 29 : 18ar A = 58 Ã— 8 = 464 km   Distance travelled by 29 : 18ar B = 70 Ã— 4 = 280 km   Ratio = 464/280 = 29 : 18   29 : 18
Answer: C
A rectangle has a perimeter of 176 inches. The length of the rectangle is 8 inches more than its width. What is the area of the rectangle? Choose the correct option.
A) 1,408 square inches	B) 1,920 square inches	C) 1,936 square inches	D) 2,304 square inches	E) None of these

Solution: Explanation:   We have: (l - b) = 8 and 2(l + b) = 176 or (l + b) = 88.   Solving the two equations, we get: l = 48 and b = 40.   Area = (l x b) = (48 x 40) in2 = 1920 in2.   Correct answer: 1,920 square inches
Answer: B
What number comes next?
582, 693, 715, 826, 937, ?
Choose the correct answer:
A) 113	B) 231	C) 245	D) 158	E) 123

Solution: 158   158   The numbers 58269371 are being repeated in the same sequence.
Answer: D
The sum of the digits of [(10^x)^y]-64=279. What is the value of xy ?  Choose the correct choice from the following:	A) 28	B) 29	C) 30	D) 31	E) 32

Solution: 1000−64=936. Whatever XY is you finish with 36==>3+6= 
3+6 = 9
9   Therefore, 279−9=270 and   270/9= 
  270/9 = 30
30   Now you add the last two digits (3 and 6)   Answer is  30+2= 
 30+2 = 32
32   ANSW32R:32
Answer: E
In the junior basketball league there are 18 teams, 1/3 of them are bad and ½ are rich. What can't be the number of teams that are rich and bad? Answers
A) 4.  B) 6.  C) 7.  D) 8.  E) 10.

Solution: total teams =18   bad teams=(1/3)*18= 
(1/3)*18 = 6
6   rich teams=9   so maximum value that the both rich and bad can take will be 9. so E= 10 can not be that value.   ans 10..
Answer: E
On a trip covering 400 km, a bicyclist travels the first 100 km at 20 km per hour and the remainder of the distance at 15 km per hour. What is the average speed, in km per hour, for the entire trip?	Answers.
A) 15.5 B) 16.0 C) 16.5 D) 17.0 E) 17.5

Solution: time 1 = 100 / 20= 
100 / 20 = 5
5 hours   time 2= 300 / 15= 
300 / 15 = 20
20 hours   total time= 25 hours   average speed = 400 / 25= 
400 / 25 = 16
16 km/hr   The answer is 16.0.
Answer: B
A and B are two partially filled buckets of water. If 2 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 2 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water? Choose one
A) 11 B) 13 C) 17 D) 21 E) 22/5

Solution: Let A contains A, B contains B liters   so, (A-2)/(B+2)= 1/3.......(1) OR 3A-6 =B+2 OR 3A-B =8   again, (B-2)/(A+2)= 1/2..(2) OR 2B-4 =A+2 OR 2B-A =6   from (1)(2) we find A= 22/5   ans: 22/5
Answer: E
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 37, the how old is B? Choose the correct choice from the following answers:  A) 10 years  B) 12 years  C) 14 years  D) 15 years  E) 16 years

Solution: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.   (2x + 2) + 2x + x = 37   5x = 35   x = 7.   Hence, B's age = 2x = 14 years.   14 years)
Answer: C
After spending 40 percent machinery, 25 percent in building , 15 percent in raw material and 5 percent on furniture . John had a balance of Rs.1305. Total money with him was?	Choose the correct option:	A) 6700	B) 8700	C) 9400	D) 9800	E) 8900

Solution: [100 - (40+25+5+15)] % of x = 1305   \inline \Rightarrow 15% of x =1305   \inline \Rightarrow \frac{15}{100}\times x=1305   \inline \therefore x=\frac{1305\times 100}{15}=8700   8700
Answer: B
In an exam 49% candidates failed in English and 36% failed in Hindi and 15% failed in both subjects. If the total number of candidates who passed in English alone is 630. What is the total number of candidates appeared in exam? Choose one:
A) 2000
B) 3000
C) 3500
D) 3800
E) 4000

Solution: not fail in english =51%   not fail in hindi =64%   not fail in both =30 %(49+36-15)   pass in english only=51-30= 
51-30 = 21
21   21/100*x=630   x=3000   ANSWER:3000
Answer: B
For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 120?
Choose the correct answer
A) 22	B) 24	C) 26	D) 28	E) 30

Solution: 4n+7 > 1   4n> -6   n > -(3/2)   n> -1.5 (n = -1, 0, 1 ,2 3........ upto infinity)   From second constraint   4n+7 < 120   4n< 113   n < 28. 25   n = (-infinity, .......-3, -2, -1, 0, 1, 2, .........upto 48)   Combining the two   -1.5 < n<48.25   n = 1 to 28 (48 integers)   and n = -1 and 0   so 30 integers.   30 is the answer
Answer: E
Express a speed of 108 kmph in meters per second?	Choose the correct choice from the following choices: A) 30 mps B) 76 mps C) 26 mps D) 97 mps E) 16 mps

Solution: 108 * 5/18= 
108 * 5/18 = 30
30 mps   30 mpsnswer:30 mps
Answer: A
The average weight of a group of boys is 30 kg. After a boy of weight 33 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? Choose the correct choice from the following options:
A) A)4 B) B)8 C) C)6 D) D)2 E) E)1

Solution: Let the number off boys in the group originally be x.   Total weight of the boys = 30x   After the boy weighing 33 kg joins the group, total weight of boys = 30x + 33   So 30x + 33 = 31(x + 1) = > x = 2.   Answer:2
Answer: D
if the list price of a book is reduced by Rs.5,then a person can buy 5 more books for Rs.300. The original cost of the book is
Choose one
A) Rs.15  B) Rs.20  C) Rs.25  D) Rs.30  E) Rs.35

Solution: 300/(x-5)-300/x=5   x=20   ANSWER:Rs.20
Answer: B
5 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place?	Pick.
A) 30
B) 21
C) 10
D) 15
E) 12

Solution: the formula to count handshakes is n(n−1)2n(n−1)2   Where n is the number of people   => 5(5-1)/2 = 5*4/2 = 20/2= 
20/2 = 10
10=> the answer is 10(10)
Answer: C
In a colony the municipality decided to number the houses and the shops. They want to number the shops with the numbers containing 3 between 1-100. The houses are 10-20 floored and at the back of the houses 8 feet is left for fire exit. How many shops can be numbered?  Choose the correct answer
A) 19	B) 20	C) 21	D) 22	E) 23

Solution: 3numbers containing 3   --->3,13,23,... = 10 numbers   ---->30,31,32... = 10 numbers   total = 20 -1= 
20 -1 = 19
19   19NSWER:19
Answer: A
For which of the following does f(u)−f(v)=f(u−v) for all values of u and v? Choose the correct choice.
A) f(a)=a^2
B) f(a)=a/2
C) f(a)=a+5
D) f(a)=2a−1
E) f(a)=|a|

Solution: To solve this easiest way is just put the value and see that if it equals or not.   with option 1. f(u) = u^2 and f(v) = v^2   so L.H.S = u^2 - v^2   and R.H.S = (u-v)^2 ==> u^2 + v^2 -2uv.   so L.H.S not equal to R.H.S   with option 2. f(u) = u/2 and f(v) = v/2   L.H.S = u/2 - v/2 ==> 1/2(u-v)   R.H.S = (u-v)/2   so L.H.S = R.H.S which is the correct answer.   f(a)=a/2
Answer: B
What is the are of an equilateral triangle of side 16 cm?	Select the correct option:
A) 64√5
B) 64√9
C) 64√4
D) 64√3
E) 64√2

Solution: Area of an equilateral triangle = √3/4 S2   If S = 16, Area of triangle = √3/4 * 16 * 16 = 64√3 cm2;   Answer: 64√3
Answer: D
What percent of 60 is 110? Choose the most appropriate option:
A) 133 1⁄3
B) 75
C) 183.33
D) 33 1⁄3
E) 25

Solution: % of 60 is 110?   = 110/60 = 11/6 = 183.33%   Thus 183.33 is the correct answer.
Answer: C
When a parabola represented by the equation y - 2x 2 = 8 x + 5 is translated 3 units to the left and 2 units up, the new parabola has its vertex at
Choose the correct answer.
A) (-5 , -1)
B) (-5 , -5)
C) (-1 , -3)
D) (-2 , -3)
E) None

Solution: Solution   First rewrite y - 2x 2 = 8 x + 5 as   y = 2x 2 + 8 x + 5   Complete square and determine vertex.   y = 2(x 2 + 4x + 4) - 8 + 5   = 2(x + 2) 2 - 3   vertex at (- 2 , - 3)   If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up .   vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)   (-5 , -1)nswer (-5 , -1)
Answer: A
A train running at 35 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.  Choose the correct option:
A) 90m45m  B) 100m50m  C) 50m45m  D) 100/3 m200/3  E) none of these

Solution: A train running at 35 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.   Distance = Speed*time   It's probably best to convert to meters so we can find the length of the platform.   Distance = 35000 meters/h * 18 seconds*(1/60*60)   Distance =(35000*18 / [3600] ) = 175m   I'm not sure how we take the length of the train into account (if we do at all) to solve this problem. For example, If we were measuring by the time the very front of the train passed one end of the platform to the time the very front of the train passed the other end, the result would be different than if we counted when the very front of the train passed one end of the platform to the time the back side of the train passed the end.   As for the problem involving the man, the man is moving forward at a speed of 5km/h while the train is moving forward at a speed of 35km/h. Therefore, the train is moving past the man at a total speed of 30km/h.   distance (35000*18 /  3600  )= 
(35000*18 /  3600  ) = 175
175m   I'm not sure how we take the length of the train into account (if we do at all) to solve this problem. For example, If we were measuring by the time the very front of the train passed one end of the platform to the time the very front of the train passed the other end, the result would be different than if we counted when the very front of the train passed one end of the platform to the time the back side of the train passed the end.   As for the problem involving the man, the man is moving forward at a speed of 5km/h while the train is moving forward at a speed of 35km/h. Therefore, the train is moving past the man at a total speed of 30km/h.   distance= speed * time   distance = 30km/h * 12 seconds   distance (length of train) = 100 m   We know the length of the train is roughly 100m and the distance covered passing the platform was 175m. However, The platform isn't 125m long - it is 125m minus the length of the train long (or so I think) which is 175-100 or 75m. Both of these answers are not in any answer.   ANSWnone of theseR: none of these) none of these
Answer: E
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres? Choose the correct choice from the following.
A) 19  B) 17  C) 10  D) 12  E) 13

Solution: Speed of the boat downstream = 15 + 3= 
15 + 3 = 18
18 kmph= 18 * 5/18= 
18 * 5/18 = 5
5 m/s   Hence time taken to cover 60 m= 60/5= 
60/5 = 12
12 seconds. Answer: 12
Answer: D
Sarah makes handmade jewelry. This month she has created 253 necklaces. If she distributes her jewelry evenly to the 6 jewelry stores in town, how many necklaces remain with her?	Choose one:  A) 0 necklaces  B) 1 necklace  C) 2 necklaces  D) 3 necklaces  E) 4 necklaces

Solution: We need to find the first number that is divisible by 6 that occurs before 253.   In order to divide the sum in 6 parts, the amount must be divisible by 6.   Divisibility rule of 6: A number is divisible by 6 if it is divisible by both 2 and 3   Divisibility rule of 3: A number is divisible by 3 if the sum of the digits is divisible by 3   We need to make this number even in order for it to be divisible by 2. So we must subtract an even number   Sum of digits of 253 = 10 and 9 is divisible by 3 and subtracting 1 yields an even number   Hence, we remove 1 from this number for it to be divisible by 6   Correct Option: 1 necklace
Answer: B
Tough and Tricky questions: Probability.
Medical analysts predict that one over five of all people who are infected by a certain biological agent could be expected to be killed for each day that passes during which they have not received an antidote. What fraction of a group of 1,000 people could be expected to be killed if infected and not treated for three full days?
Choose one:
A) 16/81
B) 8/27
C) 2/3
D) 61/125
E) 65/81

Solution: At the end of each day we will have 4/5 alive. So after 3 days we will have (4/5)^3 people alive. Therefore, fraction of dead people will be 1-(4/5)^3=61/125.   The correct answer is 61/125.
Answer: D
The perimeter of one square is 48 cm and that of another is 24 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?  Options:
A) 13√4 B) 13√2 C) 13.4√2 D) 12√4 E) 13√9

Solution: 4a = 48 4a = 24   a = 12 a = 6   a2 = 144 a2 = 36   13.4√2ombined area = a2 = 180 => a = 13.4   d = 13.4√2   Answer: 13.4√2
Answer: C
Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car?  Choose the correct choice from the following:
A) 767 km
B) 176 km
C) 960 km
D) 199 km
E) 986 km

Solution: 60(x + 1) = 64x   X = 15   60 * 16= 
60 * 16 = 960
960 km   Answer:960 km
Answer: C
When 2 dices tossed, what is the probability that 2 numbers faced have difference 2? Choose the correct choice from the following choices
A) 1/9	B) 2/9	C) 1/3	D) 4/9	E) 5/9

Solution: Combinations are (1,3), (2,4), (3,5), (4,6), (3,1), (4,2), (5,3), (6,4)   So, total = 8   Hence, Probability = 8/36 = 2/9   answer:2/9
Answer: B
A Pharmacy company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 8 hrs and a machine of type S does the same job in 4 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
Select the correct option: A) 3 B) 4 C) 2 D) 9 E) 12

Solution: Rate of machine R =1/8   Rate of machine S =1/4   since same no of machines used for R and S to do the same work in 2 hrs   So collective rate needed to finish the work in 2 hrs= 1/2   Let the no of machine be x   So, x/8 +x/4 =1/2   3x/8=1/2   x=8/6=1.3=2   So no of machine R is 2   Answer 2
Answer: C
Eggs are sold in packages of six or eleven only. If Doris bought 79 eggs exactly, what could be the number of large packs Doris bought?  Choose the correct choice
A) 6.	B) 2.	C) 3.	D) 5.	E) 4.

Solution: No strategy involved. Simple question demanding fast calculation.   11x5 = 55 => 79-55= 
79-55 = 24
24=> 24/6 is an integer   Ans D. 5.   Good luck
Answer: D
What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30? Choose the correct option:
A) 196	B) 630	C) 1260	D) 2520	E) 2540

Solution: L.C.M of 12, 18, 21, 30   = 2 * 3 * 2 * 3 * 7 * 5= 
2 * 3 * 2 * 3 * 7 * 5 = 1_260
1260   Required number= 1260/2= 
1260/2 = 630
630.   ANSWER:630
Answer: B
The perimeter of a triangle is 44 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?  Choose the correct choice from the following answers:  A) 38 cm2  B) 55 cm2  C) 65 cm2  D) 45 cm2  E) 35 cm2

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle = 2.5 * 44/2= 
2.5 * 44/2 = 55
55 cm2   Answer:55 cm2
Answer: B
How much interest can a person get on Rs. 6280 at 15.5% p.a. simple interest for a period of five years and six months?
Choices: A) 5353.72 B) 5353.71 C) 5353.7 D) 5353.73 E) 5353.74

Solution: I = (6280 * 5.5 * 15.5)/100   = (6280 * 11 * 31)/(100 * 2 * 2)   = Rs. 5353.7   Answer: 5353.7
Answer: C
Two interconnected, circular gears travel at the same circumferential rate. If Gear A has a diameter of 40 centimeters and Gear B has a diameter of 50 centimeters, what is the ratio of the number of revolutions that Gear A makes per minute to the number of revolutions that Gear B makes per minute?	Choose the correct choice:
A) 4:5 B) 9:25 C) 5:4 D) 25:9 E) Cannot be determined from the information provided

Solution: Same circumferential rate means that a point on both the gears would take same time to come back to the same position again.   Hence in other words, time taken by the point to cover the circumference of gear A = time take by point to cover the circumference of gear B   Time A = 2*pi*25/Speed A   Time B = 2*pi*20/Speed B   Since the times are same,   50pi/Speed A = 40pi/Speed B   SpeedA/Speed B = 50pi/30pi = 5/4   5:4orrect Option: 5:4
Answer: C
What is the dividend. divisor 19, the quotient is 7 and the remainder is 6	Choose the correct choice from the following choices.
A) 136	B) 137	C) 138	D) 139	E) 140

Solution: 139 = d * Q + R   139 = 19 * 7 + 6   139 = 133 + 6   139 = 139
Answer: D
If log 27 = 1.731, then the value of log 9 is:  Select: A) 0.934 B) 0.945 C) 0.954 D) 1.156 E) 0.987

Solution: log 27 = 1.731   log (33 ) = 1.731   3 log 3 = 1.731   log 3 = 0.578   log 9 = log(32 ) = 2 log 3 = (2 x 0.578) = 1.156.   Answer: Option 1.156
Answer: D