MU-NLPC/Calc-aqua_rat huggingface dataset:
If x and y are positive integers, and 1 is the greatest common divisor of x and y, what is the greatest common divisor D of 2x and 3y?
Choose the correct choice from the following options:	A) 1	B) D=Cannot be determined	C) 2	D) 5	E) 6

Solution: My explanation: from question stem we know that nothing is common between X and Y , X and Y are two prime numbers eg: X=2, Y=3 and their GCD(2,3) =1 and so 2X and 3Y will have a GCD(2X,3Y) = 1 . what if either X or Y was 1, eg: X=1,Y=4 then GCD(1,4) =1 , but GCD(2,12) = 2.   and hence answer D=Cannot be determined
Answer: B
In what time will a train 55 m long cross an electric pole, it its speed be 36 km/hr?  Choose the correct choice from the following answers
A) 5.5
B) 4.5
C) 3.5
D) 2.5
E) 1.5

Solution: Speed = 36 * 5/18= 
36 * 5/18 = 10
10 m/sec   Time taken= 55/10= 
55/10 = 11/2 = around 5.5
5.5 sec.   5.5nswer: 5.5
Answer: A
A car traveled 448 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city? Choose one
A) 14 B) 18 C) 21 D) 22 E) 27

Solution: Let the speed in highway be h mpg and in city be c mpg.   h = c+6   h miles are covered in 1 gallon   462 miles will be covered in 462/h.   Similarly c miles are covered in 1 gallon   336 miles will be covered in 336/c.   18oth should be same (as car's fuel capacity does not change with speed)   => 336/c = 448/h   => 336/c = 448/(c+6)   => 336c+336*6=448c   =>c=336*6/112= 
336*6/112 = 18
18   Answer 18.
Answer: B
A is 50% as efficient as B.C does half of the work done by A and B together .If C along does the work in 40 days then A,B,C
together can do the work in?	Answers:
A) 15 1/4 days B) 16 days C) 13 1/3 days D) 25 2/5 days E) 17 1/3 days

Solution: A's 1 day's work:B's 1 day's work=150:100=3:2   let A's and B's 1 days work be 3x and 2x respectively   then 13 1/3 days's 1st days work=(3x+2x)/2=5x/2   5 x/2=1/40   x=1/100   A's 1 day work=3/100   B's 1 day work=1/50   13 1/3 days's 1 day work=1/40   (A+B+13 1/3 days)'s 1 day work=(3/100+1/50+1/40)=15/200=3/40   so A,B,13 1/3 days together can do the work in 40/3=13 1/3 days   Answer(13 1/3 days)
Answer: C
On a sum of money, the simple interest for 2 years is Rs. 325, while the compound interest is Rs. 340, the rate of interest being the same in both the cases. The rate of interest is  Choose one:	A) 15%	B) 14.25%	C) 9.23%	D) 10.5%	E) 11.5%

Solution: Explanation:   The difference between compound interest and simple interest on Rs. P for 2 years at R% per annum   = (R Ã— SI)/(2 Ã— 100)   Difference between the compound interest and simple interest = 340 - 325= 
340 - 325 = 15
15   (R Ã— SI)/(2 Ã— 100)= 15   (R Ã— 325)/(2 Ã— 100) = 15   R = 9.23%   Answer: Option 9.23%
Answer: C
Alex invested an amount of $500 for two years. Find the rate of compound interest that will fetch him an amount of $83.20 at the end of two years?
Choose the correct option
A) 8%
B) 10%
C) 12%
D) 7%
E) 15%

Solution: Let the rate of interest be R% p.a.   500[1 + R/100]^2 = 583.20   [1 + R/100]2 = (583.20)/500   = 11664/10000 = [108/100]2   [1 + R/100] = 108/100   R=8%   8%nswer is 8%
Answer: A
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.400 when the rate to profit rises from 5 to 7 percent. Find the Capital of C?
Pick:  A) 3377  B) 2899  C) 5000  D) 2778  E) 1991

Solution: A:B:5000 = 2/3:1/6:1/6 = 4:1:1   x * 2/100 * 2/3 = 400   5000's capital = 30000*1/6= 
30000*1/6 = 5_000
5000   Answer: 5000
Answer: C
A jogger jogs at 1/6 of his usual speed. how much % he has to increase speed to reach normal pace of walking
Answers.
A) 100	B) 200	C) 300	D) 400	E) 500

Solution: suppose usual speed is x, then current speed is x/6.   to gain normal speed, he has to gain 5x/6   % increase = 100*(5x/6)/(x/6) = 500%   ANSW500R:500
Answer: E
Average of first seven multiples of 2 is  Options:
A) 8 B) 9 C) 13 D) 15 E) 17

Solution: Explanation:   8verage=2(1+2+3+4+5+6+7) / 7=56 / 7= 
56 / 7 = 8
8   Option 8
Answer: A
In a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend? Choose the correct choice.
A) 55053
B) 50553
C) 5553
D) 40532
E) 44258

Solution: 120 * 456 + 333= 
120 * 456 + 333 = 55_053
55053   55053NSWER 55053
Answer: A
select the no. which is different from series
1,4,9,16,23,25,36	Select.
A) 25  B) 36  C) 23  D) 9  E) 16

Solution: answer is 23 only rest every no. is square of any no.   answer 23
Answer: C
Today is Tuesday. The day after 59 days will be	Select
A) Monday B) Tuesday C) Saturday D) Friday E) None of these

Solution: Explanation :   59 days = 8 weeks 3 days = 3 odd days   Hence if today is Tuesday, After 59 days, it will be = (Tuesday + 3 odd days)   = Friday. Answer : Option Friday
Answer: D
A team of 8 persons joins in a shooting competition. The best marksman scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The number of points, the team scored was	Choose the correct choice from the following choices:
A) 665	B) 287	C) 297	D) 255	E) 191

Solution: Explanation:   Let the total score be x.   (x + 92 - 85) / 8 = 84.   So, x + 7 = 672 => x = 665.   665nswer: 665
Answer: A
A man's speed with the current is 18 km / hr and the speed of the current is 2 km / hr. The man's speed against the current is  Choose one:  A) 8.5 km / hr  B) 9 km / hr  C) 14 km / hr  D) 12.5 km / hr  E) None

Solution: Sol.   Man's rate in still in water = (18 - 2) km / hr = 16 km / hr.   Man's rate against the current = (16 - 2) km / hr = 14 km / hr.   Answer 14 km / hr
Answer: C
A and B start from house at 10am. They travel fro their house on the MG road at 20kmph and 40 kmph. there is a Junction T on their path. A turns left at T junction at 12:00 noon, B reaches T earlier, and turns right. Both of them continue to travel till 2pm. What is the distance between A and B at 2 pm.
Choose the correct choice from the following choices
A) 223  B) 160  C) 297  D) 276  E) 919

Solution: Distnace between House and T junction = 20 x 2 = 40.   ie., B reached T at 11 am.   B continued to right after 11 am and travelled upto 2. So distance covered by him = 3 x 40 = 120   A reached T at 12 noon and travelled upto 2 So distanced travelled by him = 2 x 20 = 40   So total distance between them = 120 + 40= 
120 + 40 = 160
160 km   Answer:160
Answer: B
In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 25 public schools, 16 parochial schools, and 9 private independent schools. These 50 schools are divided between three districts: A, B, and C. District A has 18 high schools total. District B has 17 high schools total, and only three of those are private independent schools. If District C has an equal number of each of the three kinds of schools, how many private independent schools are there in District A?
Choose the correct choice.
A) 1
B) 3
C) 4
D) 5
E) 6

Solution: Total Private Schools = 9   Dist 1: High Schools = 18 ==> Private Schools = ?   Dist B: High Schools = 17 ==> Private Schools = 3   Dist C: High Schools = 15 ==> Private Schools = 5   Therefore, 9 - 3 - 5 ==> 1   1nswer 1)
Answer: A
A 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 49 hrs and a machine of type S does the same job in 14 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?
Choose the correct choice
A) 49/9  B) 44/9  C) 46/9  D) 41/9  E) 43/9

Solution: Rate of machine R =1/49   Rate of machine S =1/14   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/49 +x/14 =1/2   9x=49   x=49/9   So no of machine R is 49/9   49/9nswer 49/9
Answer: A
The simple interest on Rs.10000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for two years at the same rate of interest.  Select:
A) 3087.82  B) 3087.89  C) 3087.85  D) 3087.36  E) 3087.22

Solution: R = 100 I / PT   => R = (100 * 7200)/ (10000 * 5)= 
(100 * 7200)/ (10000 * 5) = 72/5 = around 14.4
14.4%   CI= P{ [1 + R /100]n - 1}   = 10000 { [ 1 + 14.4 / 100]^2 - 1} = Rs.3087.36   Answer:3087.36
Answer: D
Solution Y is 40 percent sugar by volume, and solution X is 20 percent sugar by volume. How many gallons of solution X must be added to 150 gallons of solution Y to create a solution that is 25 percent sugar by volume?  Choose the correct choice from the following answers.
A) 37.5	B) 75	C) 150	D) 240	E) 450

Solution: Sol Y = 40% sugar---------------------Sol Mix = 25 % sugar-----------------Sol X = 20% sugar   Sol Y = +0.15 than Avg---------------Avg = 0.25------------------------------Sol X = -0.05 than avg   0.15 Y - 0.05 X = 0   0.15 Y = 0.05 X   X/Y = 0.15/0.05= 
0.15/0.05 = 3
3:1   X:Y:Total= 3:1:4   If Y = 150 Gallons then by ratio X:Y = 3:1   X/150= 3/1   X = 150 * 3= 
150 * 3 = 450
450 Gallons   Ans 450
Answer: E
Two numbers are 30% and 37% are less than a third number .How much percent is the second number less than the first?	Choose the correct choice from the following answers:	A) 10	B) 15	C) 20	D) 30	E) 35

Solution: I II III   70 63 100   70 -------- 7   100 ------ ? => 10%   10NSWER 10
Answer: A
Find the missing figures: 0.50% of ? = 0.12
Options.
A) 16
B) 18
C) 20
D) 22
E) 24

Solution: Let 0.50% of x = 0.12. Then , 0.50*x/100 = 0.12   X= [(0.12*100)/0.50= 
(0.12*100)/0.50 = 24
24.   Answer is 24.
Answer: E
If 4-X < (2-5X)/3, which of the following is correct?	Choose the correct option.
A) X < -5.  B) X > -5.  C) X > 5.  D) -5 < X < 0.  E) 0 < X < 5.

Solution: 4-X < (2-5X)/3   12-3X < 2- 5X   10 < -2X   -10/2>X   -5>X   X < -5. is the answer
Answer: A
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long? Select the correct option.
A) 40  B) 74  C) 38  D) 76  E) 28

Solution: Speed = 45 * 5/18 = 25/2 m/sec   Total distance covered = 360 + 140= 
360 + 140 = 500
500 m   Required time= 500 * 2/25= 
500 * 2/25 = 40
40 sec   40nswer: 40
Answer: A
0---:-|---:--|-:--:-|--:---|-:----1
On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the LEAST possible distance X between any two of the tick marks? Pick:
A) 1/70 B) 1/35 C) 2/35 D) 1/12 E) 1/7

Solution: divisions are 0 1/7 2/7 3/7 4/7 5/7 6/7 1   1/5 2/5 3/5 4/5 5/5   expressing the same in terms of the lcm of 5,7 ,i.e 35   0 7/35 14/35 21/35 28/35 35/35   5/35 10/35 15/35 20/35 25/35 30/35   by comparing the divisions with each other we can see 1/35 is the shortest possible distance between any two selected divisions.   X=1/35   Answer is 1/35.
Answer: B
A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 846 in 4 years. The sum is?  Choose the correct option.
A) s. 738 B) s. 638 C) s. 650 D) s. 762 E) s. 735

Solution: S.I. for 1 year = (846 - 825) = Rs. 29   S.I. for 3 years = 21 * 3 = Rs. 63   Principal = (825 - 63) = Rs. 762.   ANSWER:s. 762
Answer: D
A box contains either blue or red flags. The total number of flags in the box is an even number. A group of children are asked to pick up two flags each. If all the flags are used up in the process such that 60% of the children have blue flags, and 60% have red flags, what percentage of children have flags of both the colors?
Answers:
A) 5% B) 10% C) 15% D) 20% E) It can not be determined

Solution: Solution: let the total number of flags be 100(even number)   let the total number of 'blue' flags alone be 'a'   let the total number of 'red' flags alone be 'b'   let the total number of 'both' flags be 'c'   We have given,   total number of blue flags = 60% = 60 = a+c   total number of red flags=55%=55=b+c   total number of flags = a+b+c=100 (since all the flags have been utilized)   So, substituting for c in the third equation, we have,   60-c+c+60-c=100   c=20   Option 20%.
Answer: D
You are riding a horse. In front of you, there is a fire engine. A helicopter is following you. To your left a sports car is driving. To your right there is a depth.How can you arrange that you will all stop simultaneously, without crashing and without mutual communication?  Answers:
A) helicopter man stop it	B) you stop it	C) man go to stop it.	D) no idea	E) data irrelevant

Solution: You ask the man of the merry-go-round to stop it.   Answer man go to stop it.
Answer: C
Andrew has a certain number of coins in his pocket. He has three times as many dimes as quarters and six times as many nickels as dimes. A nickel is worth $0.05, a dime is worth $0.10 and a quarter is worth $0.25. If he has a total of $10.15, then which of the following represents the number of dimes in Nickles’s pocket?  Choose the most appropriate option.
A) 9	B) 10	C) 18	D) 112	E) 116

Solution: E.   Let number of quarters be q. Therefore , dimes are 3q and nickels are 18q.   Total value = 18q(.05) + 3q(0.1) + .25q =1.45q   Given total value = 10.15   therefore, 1.45q=10.15 or q=7   Number of dimes = 18q or 116   Answer : 116
Answer: E
How much 90% of 40 is greater than 80% of 30?	Choose one
A) 12  B) 14  C) 16  D) 17  E) 18

Solution: (90/100) * 40 – (80/100) * 30   36 - 24= 
36 - 24 = 12
12   12nswer: 12
Answer: A
A batsman scored 18 runs in his 18th innings and that makes his average 18. Find his average upto the 17th innings?  Answers:
A) 17  B) 18  C) 19  D) 20  E) 21

Solution: total innings=18   avg=18   so total run at 18th innings is   18*18= 
  18*18 = 324
324   total at 17th inning=324-18= 
324-18 = 306
306   now  306/17= 
 306/17 = 18
18   ANSWER:18
Answer: B
There are ten different models that are to appear in a fashion show. Two are from Europe, two are from South America, and two are from North America. If all the models from the same continent are to stand next to each other, how many ways can the fashion show organizer arrange the models?
Choose the correct choice from the following answers:	A) 72	B) 48	C) 64	D) 24	E) 8

Solution: Since we have 3 continental pairs (EU, SA, NA), these 3 pairs have 3*2*1 = 8 Combinations. Within each pair, you have however 2 different ways to put them together for each of the pair (2*2*2 = 8). So we have 8*8= 
8*8 = 64
64.   Please correct me if im wrong.   Answer 64.
Answer: C
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Choices
A) 33/99	B) 33/91	C) 36/91	D) 33/97	E) 33/33

Solution: Explanation:   Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is   = 33/91   Answer: 33/91
Answer: B
Five women can do a work in ten days. 7 men can complete the same work in 5 days. What is the ratio between the capacity of a man and a woman?	Pick
A) 10:7  B) 11:10  C) 2:3  D) 3:2  E) None of these

Solution: Explanation:   (50 Ã— 10) women can complete the work in 1 day.   âˆ´ 1 woman's 1 day's work = 1/50   (7 Ã— 5) men can complete the work in 1 day.   âˆ´ 1 man's 1 day's work = 1/35   so, required ratio =1/50 : 1/35= 10:7   10:7nswer: 10:7
Answer: A
Last year the price per share of Stock N increased by a percent and the earnings per share of Stock N increased by b percent, where a is greater than b. By what percent did the ratio of price per share to earnings per share increase, in terms of a and b? Select.
A) 100*(a-b) %
B) 100*(a-b)/(100+b) %
C) (100+b) %
D) (a-b)/(100+b) %
E) a/b %

Solution: Let P = the old price per share; E = the old earning per share. Thus P/E is the price to earning ratio before the increases   After the increase the new price is: P*(1+a/100) and the new earning is: E*(1 +b/100)   The new P/E is: (1+a/100)P/(1+b/100)E   The Percent of P/E increase = (new P/E - P/E)/(P/E). Subsititute new P/E to the equation we have:   [(1+a/100)/(1+b/100)*P/E - P/E]/(P/E)*100%. Simplifly the expression and you should get the answer to be:   100*(a-b)/(100+b) %   Answer : 100*(a-b)/(100+b) %
Answer: B
In a 100 m race,A covers the distance in 36 seconds and B in 45 second.In this race A beats B by :	Choose the correct answer
A) 20 m B) 25 m C) 22.5 m D) 9 m E) None of these

Solution: Solution   Distance covered by B in 9 sec. = (100/45x9)m =20m.   ∴ A beats B by 20 metres.   20 mnswer 20 m
Answer: A
A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate. Choose the correct answer
A) Rs.256.21  B) Rs.256.76  C) Rs.256.29  D) Rs.256.82  E) Rs.256.25

Solution: Rs.256.25xplanation:   Let the principal be Rs.P   S.I at 5% p.a in 8 years on Rs.P = Rs.500   (P)(8)(5)/100 = 500   P = 1250   C.I on Rs.2P i.e., Rs.2500 at 5% p.a in two years   =2500{ [1 + 5/100]2 - 1} = 2500{ 212 - 202 /202}   = 2500/400(441 - 400)   = 25/4(41) = 1025/4 = Rs.256.25   Answer: Rs.256.25
Answer: E
What is the least common multiple of 15, 16, and 24?
Select:
A) 60  B) 120  C) 240  D) 360  E) 720

Solution: Let us first write the numbers in the form of prime factors:   15 = 3*5   16 = 2^4   24 = 2 * 17^1   The LCM would be the largest powers of the prime numbers from all these three numbers.   Hence L240M = 240   Option 240
Answer: C
Angela, Bernie, and Colleen can complete a job, all working together, in 2 hours. Angela and Bernie, working together at their respective rates, can complete the same job in 5 hours. How long would it take Colleen, working alone, to complete the entire job? Select:
A) 8 hours
B) 10/3 hours
C) 12 hours
D) 16 hours
E) 20 hours

Solution: A+B+C complete the job in 2 hours.   A+B complete the job in 5 hours.   A+B and C complete the job in 2 hours -->1/(A+B) + 1/C = 1/2-->1/5+1/C=1/2 ----> C=10/3 hours. ANS 10/3 hours
Answer: B
In a certain code language, '3a, 2b, 7c' means 'Truth is Eternal';
'7c, 9a, 8b, 3a' means 'Enmity is not Eternal' and
'9a, 4d, 2b, 8b' means 'Truth does not perish'.
Which of the following means 'enmity' in that language ?	Choose the correct choice
A) 3 B) 9 C) 8 D) 6 E) 2

Solution: Explanation:   Justification:   In the second and third statements, the common code is '9a' and the common word is 'not'.   So, '9a' means 'not'.   In the first and second statements, the common codes are '7c' and '3a' and the common words are 'is' and 'Eternal'.   So, in the second statement, '8b' means 'enmity'.   Answer: 8) 8b
Answer: C
Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?	Options
A) 11 1/8  B) 11 1/4  C) 11 1/1  D) 11 1/2  E) 11 1/9

Solution: Explanation:   3/12 + x/15 = 1   x= 11 1/4   Answer:11 1/4
Answer: B
What positive number, when squared, is equal to the cube of the positive square root of 17? Pick one
A) 64  B) 32  C) 8  D) 4  E) 2

Solution: Let the positive number be x   x^2 = ((17)^(1/2))^3   =>x^2 = 4^3 = 64   => x = 8   Answer 8
Answer: C
Find the odd man out. 30, -5, -45, -90, -145, -195, -255 Select.
A) -5 B) -145 C) -255 D) -195 E) -90

Solution: Explanation :   30   30 - 35 = -5   -5 - 40 = -45   -45 - 45 = -90   -90 - 50 = -140   -140 - 55 = -195   -195 - 60 = -255   Hence, -145 is wrong. -140 should have come in place of -145   Answer : Option -145
Answer: B
Rita told Mani, "The girl I met yesterday at the beach was the youngest daughter of the brother-in-law of my friend's mother." How is the girl related to Rita's friend ? Choose the correct choice:
A) Cousin B) Daughter C) Niece D) Friend E) SISTER

Solution: Explanation:   Daughter of brother-in-law — Niece;   Mother's niece — Cousin.   So, the girl is the cousin of Rita's friend.   Cousinnswer: Cousin
Answer: A
The average age of the district level hockey team of eleven is 25 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?	Choose the correct choice from the following choices:  A) 36 yrs.  B) 37 yrs.  C) 34 yrs.  D) 33 yrs.  E) 32 yrs.

Solution: Explanation:   Total age of players in team = 25 x 11 = 275   When coach is included, total members = 12, Avg age increases by one becomes 26   Total age when coach is included = 26x12 = 312   Age of coach = 312-275= 
312-275 = 37
37 yrs.   Answer: 37 yrs.
Answer: B
A building of 6 floors is being painted by 2 painters, and they take 3 days to paint the first floor. If 3 men are then added to the work and all of them continue painting at the same rate, how many days take to them paint all the building, since the first day?  Choose the correct option: A) 5 days B) 8 days C) 9 days D) 10 days E) 12 days

Solution: We have that: 2 painters ----- 3 days, (2+3) P ----- X d, that is: (X d/ 2P) = (3 d/5P), then: X d = (3 d/5P)2P = (6/5)d. Is to say, the 5 painters paint the same quantity in 6/5 days; as it is only 1/6 of the building, all the building would be: B = 3 d + 5(6/5) d = (3 + 6)= 
(3 + 6) = 9
9 days. Answer 9 days.
Answer: C
Set F consists of the following unique integers: -2, 17, 3, n, 2, 15, -3, and -27; which of the following could be the median of set F?
Select the correct option.
A) 5 B) 6 C) 56 D) 46 E) 1

Solution: Whenever a question asks you to deal with the MEDIAN of a group of numbers, you MUST put the numbers in order from least to greatest (or at the very least,group offthe numbers so that you can restrict the potential value of the median).   Here, we have 8 values (one of the values is the variable N). We're told that the values are UNIQUE, so N CANNOT be any of the other 7 values listed. We're asked which of the following answers COULD be the median, so if we determine that one of the answer choices is a POSSIBLE median, then we can stop working....   Since the group includes 8 values, the median will be the AVERAGE of the 4th and 5th values...   Putting the 7 numbers in order, we have:   -27, -3, -2, 2, 3, 15, 17   This means that the2will either be the 4th term or the 5th term (depending on the value of N).   IF....   N is REALLY BIG, then the 4th and 5th terms will be 2 and 3, so the median will = 2.5   N is REALLY SMALL, then the 4th and 5th terms will be -2 and 2, so the median will = 0   Neither of those answers is among the choices though, so N must be something relativelycloseto 2.....   IF....   N = 0, then the 4th and 5th terms will be 0 and 2, so the median will = 1. That answer IS among the choices, so we're done.   1
Answer: E
Ravid has d books, which is 3 times as many as Jeff and 1/2 as many as Paula. How many books do the three of them have altogether, in terms of d?  Choose one.
A) 5/6*d	B) 7/3*d	C) 10/3*d	D) 7/2*d	E) 9/2*d

Solution: Ravid has d books;   Jeff has d/3 books;   Paula has 2d books;   Total = d+d/3+2d=10d/3.   Answer: 10/3*d.
Answer: C
One night 15 percent of the female officers on a police force were on duty. If 300 officers were on duty that night and half of these were female officers, how many female officers were on the police force?	Pick one.
A) 90 B) 180 C) 270 D) 500 E) 1,000

Solution: Let total number of female officers in the police force = F   Total number of officers on duty on that night = 300   Number of female officers on duty on that night = 300/2= 
300/2 = 150
150   (15/100)*F=150   =>F = 1000   Answer 1,000
Answer: E
Suresh and Ramesh started a business investing Rs. 24,000 and Rs. 40,000 respectively. Out of total profit of Rs. 18,000, what is Ramesh's share?  Choose one.
A) s. 6500
B) s. 7250
C) s. 8250
D) s. 9500
E) s. 11250

Solution: Explanation:   Ratio of Suresh and Ramesh's share = 24,000 : 40,000 = 3 : 5   Ramesh's share = Rs. (18000 x 5 / 8) = Rs. 11250   ANSWs. 11250R: s. 11250
Answer: E
How many three-digit whole numbers yield a remainder of 1 when divided by 10 and also yield a remainder of 1 when divided by 6?
Choose the correct choice
A) None  B) One  C) Two  D) Three  E) Four

Solution: The possible number N can be written as follow:   N = Multiple of LCM(6,10) + 1st such number   N = 30x + 1   Possible values = 1, 31, 61, 91,121,151,181,211,241,271.....991   Nonenswer : None:None
Answer: A