MU-NLPC/Calc-aqua_rat huggingface dataset:
Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?  Choose the correct choice from the following options.
A) 26  B) 30  C) 31  D) 34  E) 35

Solution: Let $let n$ be the smaller and 71 - n be the larger number. Now, since the larger number exceeds the smaller number by 7, we can form the equation   larger number – smaller number = 7   which is equivalent to   Simplifying, we have 71 - 2n = 7. This gives us 2n = 78 which implies that the larger number is . The smaller is 71-39=31.   31
Answer: C
A can do a work in 15 days and B in 20 days. If they work on it together for 5 days, then the fraction of the work that is left is  Select
A) 8/17	B) 7/15	C) 3/15	D) 5/12	E) 1/4

Solution: Person ( A ) ( B ) ( A+B )   Time - ( 15 ) ( 20 ) (-)   Rate - ( 20 ) ( 15 ) ( 35 )   Work -(300) (300) (300)   therefore A+B requires (300/35) days to complete entire work   For 1st 5 days they work  35 * 5= 
 35 * 5 = 175
175   Remaining work is 300 - 175= 
300 - 175 = 125
125   Remaining fraction of work is= 125/300 = 5/12   Answer 5/12
Answer: D
What is the value of 3x^2 − 1.8x + 0.8 for x = 0.6?	Choose the correct choice: A) −0.3 B) 0.8 C) 0.3 D) 1.08 E) 2.46

Solution: 3x^2-1.8x+0.8 for x=0.6   =3(0.6*0.6)-3*0.6*(0.6)+0.8   =0+0.8= 
0+0.8 = 0.8
0.8   ANSWER:0.8
Answer: B
John purchased some shirts and trousers for $700. He paid $400 less for the shirts than he did for the trousers. If he bought 5 shirts and the cost of a shirt is $20 less than that of a trouser, how many trousers did he buy? Select.
A) 4  B) 5  C) 6  D) 7  E) 11

Solution: Given that the total purchase of two items cost 700.   So the average purchase of one item will cost  700/2= 
 700/2 = 350
350.   Its given as total shirt cost 400$ less. Hence Total Shirt cost= 350 - 50 and Total trouser cost = 350 + 50   5 shirts = 150$ ==> One shirt = 30$   One trouser = 30 + 20= 
30 + 20 = 50
50$   Total trousers= 550 / 50= 
550 / 50 = 11
11.   11
Answer: E
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is ?
Choose the correct choice from the following answers:
A) 7 kmph  B) 6 kmph  C) 4 kmph  D) 3 kmph  E) 2 kmph

Solution: Explanation:   Speed of the stream = 1   Motor boat speed in still water be = x kmph   Down Stream = x + 1 kmph   Up Stream = x - 1 kmph   [35/(x + 1)] + [35/(x - 1)] = 12   x = 6 kmph   Answer: 6 kmph
Answer: B
In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?  Pick.
A) 5 C 3 B) 5 P 3 C) 5(3) D) 3(5) E) 2(5)

Solution: Explanatory Answer   Sampling with replacement   The first letter can be posted in any of the 3 post boxes. Therefore, we have 3 possibilities.   Similarly, the second, the third, the fourth and the fifth letter can each be posted in any of the 3 post boxes.   Each of the 5 letters has 3 possibilities because we can post any number of letters in all of the boxes.   Therefore, the total number of ways the 5 letters can be posted in 3 boxes is 3 * 3 * 3 * 3 * 3 = 3(5)   Choice 3(5)
Answer: D
-84x29+365=?	Choose the correct choice: A) 2436 B) 2801 C) -2801 D) -2071 E) None of them

Solution: Given exp.=-84x(30-1)+365   =-(84x30)+84+365   =-2520+449   =-2071   Answer is -2071
Answer: D
In a certain mathematical activity, we start with seven cards, each with a different prime number written on it. These seven cards are randomly put into three boxes in the following way: one box must get four cards, one must get two, and one gets only one. Then, for each box, we find the product of all the cards in the box, and that’s the “number” of the box. Then, we put those three numbers in order, from lowest to highest, and that is our set. How many different sets R can be created from this process? Choose the correct choice from the following answers:
A) 35
B) 105
C) 210
D) 420
E) 630

Solution: R=7C4 * 3C2 = 105 Answer B.   7C4 ways to choose 4 numbers for Box 1   3C2 ways to choose 2 numbers for Box2   1 way for Box 3 .   every combination will give a different product and can be arranged least to highest only in one way .105
Answer: B
48 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
Choose the correct choice from the following answers
A) 8
B) 12
C) 13
D) 14
E) 16

Solution: Amount of salt = 4.8   Assume x gallons of water are added.   4.8 / 48 + x = 8/100   480 = 8x + 384   8x = 96   x = 12   Correct Option: 12
Answer: B
Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?	Choose the most appropriate option
A) 15
B) 15.7
C) 19.7
D) 19.2
E) 18

Solution: Let the amount taxable purchases be Rs. x.   Then, 6% of x =30/100   x =(	(30/100)x(100/6) )= 5.   Cost of tax free items = Rs. [25 - (5 + 0.30)] = Rs. 19.70   ANSWER 19.7
Answer: C
The triplicate ratio of 1:9 is?	Pick
A) 1:0	B) 1:8	C) 1:7	D) 1:2	E) 1:729

Solution: 13: 93 = 1:729   Answer: 1:729
Answer: E
If a and b are positive real numbers, and a^3 + b^3 = 20, then the greatest possible value of a is between: Choose the correct choice:
A) 0 and 3 B) 3 and 4 C) 4 and 5 D) 5 and 7 E) 7 and 9

Solution: If a > 3, then a^3 + b^3 > 20.   The answer is 0 and 3.
Answer: A
In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?
Pick one:
A) 3  B) 9  C) 35  D) 25  E) 215

Solution: The first letter can be posted in any of the 3 post boxes. Therefore, we have 3 possibilities.   Similarly, the second, the third, the fourth and the fifth letter can each be posted in any of the 3 post boxes.   Each of the 5 letters has 3 possibilities because we can post any number of letters in all of the boxes.   Therefore, the total number of ways the 5 letters can be posted in 3 boxes is   3 * 3 * 3 * 3 * 3 = 35   Option 35
Answer: C
In a class, there are 21 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?
Choices
A) 8  B) 14  C) 18  D) 24  E) 26

Solution: Explanation:   Let the number of boys be x. Then, (3/4)x = 21 or x = 21 x(4/3) = 28.   If total number of students is y, then (2/3) y = 28 or y = 28 x (3/2) = 42.   Therefore Number of girls in the class = (42 - 28)= 
(42 - 28) = 14
14.   Answer: 14
Answer: B
How many 3 digit positive integers E exist that when divided by 7 leave a remainder of 5? Choose the correct choice from the following:
A) 128  B) 142  C) 143  D) 141  E) 129

Solution: Minimum three digit number is 100 and maximum three digit number is 999.   The first three digit number that leaves remainder 5 when divided by 7 is 103.   14 * 7= 
14 * 7 = 98
98 +5= 
98 +5 = 103
103   The second three digit number that leaves remainder 5 when divided by 7 is 110.   15 * 7= 
15 * 7 = 105
105 +5= 
105 +5 = 110
110   The third three digit number that leaves remainder 5 when divided by 7 is 117   and so on   The last three digit number that leaves remainder 5 when divided by 7 is 999   142 * 7= 
142 * 7 = 994
994 + 5= 
994 + 5 = 999
999   Therefore, we identify the sequence   103,110,117.....999   use the formula of last term   Last term= first term + (n - 1) * common difference   you will get the answer 129 that is definitely 129.
Answer: E
On a wedding catering service, An experienced chef can prepare a service for a wedding in 6 hours while an novice chef would finish the preparations in 7 hours.
If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes?  Choose the correct choice from the following answers
A) 2
B) 3
C) 4
D) 6
E) 8

Solution: Experienced chefs work = 1 wedding/6 hours   Novice chefs work = 1 wedding/7 hours   Since we don't know the number of experienced or novice chefs but know that there is an equal number each, let the number of chefs for each group equalx   1hr and 36mins = 8/5 an hour   x/6 + x/7 = 1 wedding / (8/5)   x/6 + x/7 = 5/8   x=2   So there are 2 novice chefs and 2 experienced chefs. In total there are 4. The answer is 4.
Answer: C
If (x+3)^2/(2x+15)=3, then the difference between the two possible values of x is: Select.
A) 8	B) 10	C) 12	D) 14	E) 16

Solution: (x+3)^2/(2x+15)=3   (x+3)^2=3(2x+15)   x^2+6x+9=6x+45   x^2-36=0   (x-6)(x+6)=0   x=6 or x=-6   The answer is 12.
Answer: C
In how many ways a committee consisting of 5 men and 6 women can be formed from 8 men and 10 women?  Choose the correct choice from the following answers
A) 266
B) 86400
C) 11760
D) 5040
E) None of these

Solution: Here, 5 men out of 8 men and 6 women out of 10 women can be chosen in   8C5 × 10C6 ways, i.e., 11760 ways.   Answer 11760
Answer: C
Excluding stoppages, the speed of a train is 55 kmph and including stoppages it is 30 kmph. Of how many minutes does the train stop per hour?  Choose the correct choice from the following:
A) 82 B) 27 C) 12 D) 82 E) 18

Solution: Explanation:   T = 25/55 * 60 = 27   Answer: Option 27
Answer: B
In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C is  Pick: A) 33 B) 10 C) 88 D) 37 E) 32

Solution: 10 points   Answer: 10
Answer: B
Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.6. The probability that vice-president Baker will approve the proposal is 0.5. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of one another.
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded?
Select:
A) 0.49	B) 0.42	C) 0.45	D) 0.48	E) 0.5

Solution: probability of adams approval = 0.6   baker approval =0.5   corfu approval=0.4   proabability of approval is must adam approval and atleast one approval   = adam approval*baker approval*corfu approval(approval of both remaining)+adam approval*baker approval*corfu not approval(atleast one remaining approval)+   adam approval*baker not approval*coffu approval( atleast one remaining approval   = 0.6*0.5*0.4+0.6*0.5*0.6+0.6*0.5*0.4   =0.12+0.18+0.12= 
0.12+0.18+0.12 = 0.42
0.42   0.42
Answer: B
What is the place value of 3 in the numeral 2734?  Choose the correct choice from the following choices
A) 45	B) 30	C) 43	D) 56	E) 40

Solution: Option '30'    3 * 10= 
 3 * 10 = 30
30
Answer: B
A alone can complete a work in 16 days and B alone can do in 12 days. Starting with A, they work on alternate days. The total work will be completed in  Pick:  A) 13 1/4  B) 13 1/2  C) 13 3/4  D) 13 4/4  E) 13 2/3

Solution: Explanation:   A's 1 day work = 1/16   B's 1 day work = 1/12   As they are working on alternate day's   So their 2 days work = (1/16)+(1/12)   = 7/48   [here is a small technique, Total work done will be 1, right, then multiply numerator till denominator, as  7*6= 
 7*6 = 42
42, 7*7= 49, as 7*7 is more than 48, so we will consider 7*6, means 6 pairs ]   Work done in 6 pairs = 6*(7/48) = 7/8   Remaining work = 1-7/8 = 1/8   On 13th day it will A turn,   then remaining work = (1/8)-(1/16) = 1/16   On 14th day it is B turn,   1/12 work done by B in 1 day   1/16 work will be done in (12*1/16) = 3/4 day   So total days =   13 3/4   Option 13 3/4
Answer: C
Find the average of all prime numbers between 30 and 50
Choose the correct choice from the following
A) 15	B) 42	C) 45	D) 34	E) 26

Solution: Prime numbers between 30 and 50 are 37, 41, 43, 47   Required average = (37+ 41+ 43+ 47)/4 = 168/4= 
168/4 = 42
42   Answer is 42
Answer: B
For 6-digit integer 46x,y12, when x and y are drawn at random from {3,5,8}, what is the probability Q that the integer drawn is divisible by 8?
* A solution will be posted in two days.	Choose the correct choice from the following options:
A) 1/6	B) 1/3	C) 1/2	D) 2/3	E) 5/6

Solution: In general, the remainder divided by integer n is the same as the remainder that up to tens of n is divided by 8.   Thus, in order for 46,x,y12 to be divided by 8, y12 should be divided by 8.   Amongst 3,5,8, 3 and 5 can be divided by 8.   Therefore, Q=two out of three can be divided and the answer is 2/3.
Answer: D
A certain roller coaster has 4 cars, and a passenger is equally likely to ride in any 1 of the 4 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 4 times, what is the probability that the passenger will ride in each of the 4 cars? Select the correct option
A) 0  B) 1/9  C) 2/9  D) 3/32  E) 1

Solution: If he is to ride 4 times and since he can choose any of the 4 cars each time, total number of ways is   = 4 * 4 * 4 * 4= 
4 * 4 * 4 * 4 = 256
256   Now the number of ways if he is to choose a different car each time is= 4* 3 * 2 * 1= 
4* 3 * 2 * 1 = 24
24   So the probability is= 24/256 =6/64=3/32   = 3/32   Answer : 3/32
Answer: D
A cycle is bought for Rs.900 and sold for Rs.1440, find the gain percent?  Choose the correct choice from the following choices:
A) 27%  B) 20%  C) 80%  D) 30%  E) 60%

Solution: 900 ---- 540   100 ---- ? => 60%   Answer: 60%
Answer: E
A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent? Choose the correct choice from the following answers.
A) 33 1/6	B) 33 1/0	C) 33 1/3	D) 33 1/5	E) 33 1/2

Solution: The total number of mangoes bought by the shopkeeper be 12.   If he buys 4 a rupee, his 33 1/3P = 3   He selling at 3 a rupee, his SP = 4   Profit = SP - 33 1/3P = 4 - 3= 
4 - 3 = 1
1   Profit Percent= 1/3 * 100 = 33 1/3 %.Answer:33 1/3
Answer: C
In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 45 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?  Pick one:  A) 9X/80  B) 13X/20  C) 80/9X  D) 20X/13  E) 80X/9

Solution: IMT = 0.25T   JI = 0.45 IMT   0.45 IMT = $x b   IMT = $x/(0.45) b   T = 4*IMT = 4x/0.45 = 4x*100/45 = 80x/9   Ans: "80X/9"
Answer: E
In an office in Singapore there are 60% female employees. 50 % of all the male employees are computer literate. If there are total 62% employees computer literate out of total 1200 employees, then the no. of female employees who are computer literate ?  Choose the correct choice from the following
A) 504
B) 674
C) 672
D) 960
E) None

Solution: Solution: Total employees,   = 1200   Female employees, 60% of 1200.   = (60 *1200) /100= 
(60 *1200) /100 = 720
720.   Then male employees,= 480   50 % of male are computer literate,   = 240 male computer literate.   62 % of total employees are computer literate,   = (62 *1200) /100= 
(62 *1200) /100 = 744
744 computer literate.   Thus, Female computer literate= 744 - 240= 
744 - 240 = 504
504.   504nswer: Option 504
Answer: A
10 liters are drawn from a cask full of wine and is then filled with water. This operation is performed one more time . The ratio of the quantity of wine now left in cask to that of the water is 4:5. How much wine did the cask hold originally?	Select the correct option
A) 10
B) 20
C) 30
D) 45
E) 60

Solution: Let the quantity of wine in the cask originally be x liters   quantity of wine left in cask after 2 operations = x(1 - 10/x)^2 liters   x(1 - 10/x)^2 /x = 4/9   (1-10/x)^2 = (2/3)^2   x = 30   Answer is 30
Answer: C
A guy was asked to specify his age in years. He said, “Take my age 6 years hence, multiply it by six and subtract six of my age 6 years ago and you will know my age.” What was the age of that guy?  Choose one:
A) 18 B) 35 C) 53 D) 69 E) 72

Solution: Current age of the guy = A years.   Then, 6 (A + 6) – 6 (A – 6) = A   (6A + 36) – (6A – 36) = A   A = 72   72
Answer: E
What is the units digit of (493) (915) (381) (756) (28)	Options
A) 0	B) 1	C) 4	D) 5	E) 6

Solution: Just multiply the digits in the units place for each term and you will get the answer. It should be 0. you got a 5 as a unit digit and an even number term. so the multiplication of this will definitely yield a 0. Answer has to be 0.   I also tried it using the calculator and the answer is 1.   IMO 1.
Answer: B
Look at this series: 25000,5000,1000, ... What number should come next?	Choose one:	A) 17	B) 10	C) 15	D) 200	E) 8

Solution: 200   This is a simple division series. Each number is divided by 5.   ANSWER 200
Answer: D
How much time will a train of length 380 m moving at a speed of 72 kmph take to cross another train of length 540 m, moving at 36 kmph in the same direction?  Options:	A) 50	B) 99	C) 88	D) 92	E) 12

Solution: The distance to be covered = Sum of their lengths = 380 + 540= 
380 + 540 = 920
920 m.   Relative speed= 72 -36= 
72 -36 = 36
36 kmph= 36 * 5/18= 
36 * 5/18 = 10
10 mps.   Time required= d/s = 920/10= 
920/10 = 92
92 sec.   Answer:92
Answer: D
A work could be completed in 100days by x workers. However, due to the absence of 10workers, it was completed in 110days. The original no.of workers was:
Choose one:
A) 90 B) 100 C) 110 D) 130 E) 140

Solution: sax Letlheo g alnumberofworkers hex   x workers can do the wor - 100 days   (x — 10) workers can do the work in 110 days   4 100x 1u1x— 10)   1100 Q x 110   110
Answer: C
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 45 meters. How many times did the ball bounce?	Pick:	A) 5	B) 4	C) 7	D) 8	E) 9

Solution: Going down = 16 m   Going Up = 8 --> Total = 24   Going down = 8 --> Total = 32   Going Up = 4 --> Total = 36   Going down = 4 --> Total = 40   Going up = 2 --> Total = 42   Going down = 2 --> Total = 44   Going up = 1 --> Total = 45 (Caught)   No of bounce = 4   Answer : 4
Answer: B
Statement : Until our country achieves economic equality, political freedom and democracy would be meaningless.
Conclusions :
I. Political freedom and democracy go hand in hand.
II. Economic equality leads to real political freedom and democracy. Choose the correct choice from the following answers:
A) I only	B) II only	C) I and II only	D) I and III only	E) II and III only

Solution: Explanation:   Nothing about first conclusion is stated in statement.   Only II conclusion follows.   (II only) II only
Answer: B
If three numbers are added in pairs, the sums equal 10, 19 and 21. Find the numbers
Select the correct option
A) 6, 4, 15  B) 7, 8, 6  C) 5, 15, 45  D) 12, 8, 13  E) 10, 15, 20

Solution: Let the numbers be x, y and z. Then,   x+ y = 10 ...(i) y + z = 19 ...(ii) x + z = 21 …(iii)   Adding (i) ,(ii) and (iii), we get: 2(x + y + z ) = 50 or (x + y + z) = 25.   Thus, x= (25 - 19)= 
(25 - 19) = 6
6; y= (25 - 21)= 
(25 - 21) = 4
4; z= (25 - 10)= 
(25 - 10) = 15
15.   Hence, the required numbers are 6, 4 and 15.   6, 4, 15nswer 6, 4, 15)6, 4, 15
Answer: A
If d=1/(2^3*5^6) is expressed as a terminating decimal, how many nonzero digits will d have?
Choose the correct choice from the following options:
A) One
B) Two
C) Three
D) Seven
E) Ten

Solution: Onenother way to do it is :   We know x^a*y^a=(X*Y)^a   given = 1/(2^3*5^6)   = Multiply and divide by 2^3   =2^3/(2^3*2^3*5^6)   =2^3/10^6   => non zero digits are 8 => Onens One
Answer: A
Three cows work to fill a tub at at different rate. Hose A and B, working together, can fill the tub in 3/5 of an hour. Hoses A and C can fill it in 1/2 an hour. Houses B and C can fill it in 2 hours. How long does it take all 3 cows, working together, to fill the tub? Choose the correct choice from the following answers.
A) 3/10  B) 2/5  C) 6/11  D) 1  E) 6/5

Solution: We have ,in 1 hourwhen two hose working together can fill the tub as follow:   1/a + 1/b = 1/3/5 of the work   1/a + 1/c = 1/1/2 of the work   1/b + 1/c = 1/2 of the work   =>Get total both sides we got : 2(1/a +1/b +1/c) = 10+30+15/30 of the work   or 1/a +1/b +1/c = 55/30=11/6 of the work   6/11alculate total amount of time taken when three hoses work together 11/6 = 6/11   6/11
Answer: C
How many of the positive factors of 24 , 16 and how many common factors are there in numbers? Choose the most appropriate option:
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: factors of 24 - 1, 2, 3, 4, 8, 12 and 24   factors of 16 - 1 , 2, 4, 8 and 16   Comparing both, we have three common factors of 45,16-4   Answer 4
Answer: D
a, b, c, d, and e are five consecutive integers in increasing order of size. Which one of the following
expressions is not odd?  Select the correct option:
A) a + b + c	B) ab + c	C) ab + d	D) ac + d	E) ac + e

Solution: lets see the choices..   (A) a + b + c   a+a+1+a+2=3a+2..   if a is even, it is EVEN..   if a is odd, it is ODD..   (B) ab + c   a(a+1)+a+2+ +1+ +2= 
+ +1+ +2 = 3
3a+2..   if a is even, it is EVEN..   if a is odd, it is ODD..   (B) ab + c   a(a+1)+a+2=a^2+2a+2..   a(a+2)+2...   This will be O/E if a is O/E..   (C) ab + d   a(a+1)+a+3=a^2+2a+3..   a(a+2)+3...   This will be opposite of a.   .   (D) ac + d   a(a+2)+a+3=a^2+3a+3..   a(a+3)+3...   This will always be odd, as a(a+3) will always be even   (E) ac + e   a(a+2)+a+3=a^2+3a+3..   a(a+3)+4...   This will always be even, as a(a+3) will always be even   ac + e must be the correct answer.
Answer: E
If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {22} + {20}?
Choose the most appropriate option:
A) 23 B) 20 C) 11 D) 5 E) 2

Solution: Soln:   {22} + {20} = 22*{20} +{20} = 23*{20}   23NSWER:23
Answer: A
The total car population in a Mumbai is 2,94,00 out of which 1,50,00 are made by Honda. Out of every 100 Honda cars, 98 are red in color, but only 53% of the total car population is red. Find the % of non-Honda cars that are red  Select the correct option:
A) 5%
B) 6%
C) 6.125%
D) 7.12%
E) 8.13%

Solution: Total Car.29.10 i.e., Honda +non Honda = 29400 Given: Whim. tractor .150W   Now,5346 of 2..00 = Honda +Red Non-Honda 29400 .:4 =15582 Thus...El Mall... 1.0 Now Honda 15582 flow, Non-. Honda =15582 - 15.582-14700=8B2 96 non-Honda =1=1.100 = 6.125%   6.125%
Answer: C
Jack and Christina are standing 150 feet apart on a level surface. Their dog, Lindy, is standing next to Christina. At the same time, they all begin moving toward each other. Jack walks in a straight line toward Christina at a constant speed of 7 feet per second and Christina walks in a straight line toward Jack at a constant speed of 8 feet per second. Lindy runs at a constant speed of 10 feet per second from Christina to Jack, back to Christina, back to Jack, and so forth. What is the total distance, in feet, that Lindy has traveled when the three meet at one place?  Options:	A) 40	B) 60	C) 80	D) 100	E) 120

Solution: The relative speed of Jack and Christina is 7 + 8= 
7 + 8 = 15
15 feet per second.   The distance between them is 210 feet, hence they will meet in (time)= (distance)/(relative speed) = 150/15= 
150/15 = 10
10 seconds.   For all this time Lindy was running back and forth, so it covered (distance)= (speed)*(time) = 10*10= 
10*10 = 100
100 feet.   Answer: 100.
Answer: D
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $216 per week. How much does she earn in dollars per hour?	Choose the correct option
A) 11 B) 10 C) 9 D) 8 E) 6

Solution: Let Sheila earn x dollars per hour   So, on Monday, Wednesday and Friday , she earns 8x each   And, on Tuesday and Thursday, she earns 6x each   In total , over the week she should earn, 3(8x) + 2(6x) = 36x   She earns $216 per week   36x =216   x =6   Correct Option : 6
Answer: E
A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 61.50, his capital is? Choices
A) 24,602
B) 28,888
C) 24,600
D) 24,628
E) 24,6012

Solution: Let the capital be Rs. x. Then,   (x * 8 * 1)/100 - (x * 31/4 * 1/100) = 61.50   32x - 31x = 6150 * 4   x = 24,600.   Answer: 24,600
Answer: C