MU-NLPC/Calc-aqua_rat huggingface dataset:
The value of a 10.5% stock, in which an income of Rs.756 is derived by investing Rs.9000, brokerage being% is : Choose the correct option:
A) Rs. 118 B) Rs. 120 C) Rs. 124.75 D) Rs. 131 E) Rs. 124.75

Solution: For an income of Rs.756, investment = Rs.9000   For an income of Rs., investment = = Rs.125   For a Rs.100 stock, investment = Rs.125.   Market value of Rs. 100 stock = = Rs. 124.75   Rs. 124.75
Answer: C
A university cafeteria offers 1 flavors of pizza - pepperoni. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ?  Choose one
A) 4  B) 8  C) 12  D) 1  E) 32

Solution: 1 flavours * 1 choices = 1C1*1C1 = 1*1= 
1*1 = 1
1=1
Answer: D
The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $350, by what percent is the price to be reduced?
Select the correct option
A) 70%	B) 15%	C) 20%	D) 25%	E) 30%

Solution: price of a coat in a certain store = $500   the price of the coat is to be reduced by $350   % change = (Final Value - Initial Value)*100 / Initial Value   % Reduction= (Reduction in Price)*100 / Initial Value   i.e. % Reduction= (350)*100 / 500= 
(350)*100 / 500 = 70
70%   70%nswer: Option 70%
Answer: A
A team consists of 4 boys and 3 girls. If you pick two persons at the same time, what's the probability that one person is boy and other one is girl ?	Options.
A) 2/7
B) 5/7
C) 4/7
D) 3/7
E) 1/2

Solution: P(1st b, 2nd g) = 4/7*3/6 = 4/14;   P(1st g, 2nd b) = 3/7*4/6 = 4/14.   P = 4/14 + 4/14 = 4/7.   Answer: 4/7.
Answer: C
A certain article of clothing was discounted during a special sale to 2/5 of its original retail price. When the clothing didn't sell, it was discounted even further to 1/2 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the second sale? Choose the correct choice from the following options: A) 50% B) 33.33% C) 25% D) 16.66% E) 12.5%

Solution: Say the original retail price of the item was $200.   The price after the first sale = 3/5 * $200 = $120.   The price after the second sale 3/5 *  200= 
3/5 *  200 = 120
$120.   The price after the second sale= 1/2 * $200 = $100.   The percent change from the first sale to the second 1/2 *  200= 
1/2 *  200 = 100
$100.   The percent change from the first sale to the second= (120 - 100) / 120 = 1/3 = 16.66%.   Answer: 16.66%.
Answer: D
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 48, the dividend is:  Choose the correct choice
A) 5808 B) 5336 C) 5343 D) 5345 E) 5350

Solution: Divisor = (5 * 48)= 
(5 * 48) = 240
240= 10 * Quotient = Divisor   => Quotient = 240/10= 
240/10 = 24
24   Dividend= (Divisor * Quotient) + Remainder   Dividend = (240 * 24) + 48= 
(240 * 24) + 48 = 5_808
5808.   5808
Answer: A
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?	Select the correct option:
A) 8/21	B) 7/11	C) 5/27	D) 11/32	E) 1/4

Solution: Total number of balls = 8+7+6= 
8+7+6 = 21
21   E= event that the ball drawn is neither red nor green   = event that the ball drawn is red   n(E) = 8   P(E) = 8/21   8/21nswer is 8/21
Answer: A
After working for 6 days, David was joined by Moore. Together they completed the remaining job in 3 days. How many days will it take both of them to complete the entire job, given that it would have taken David 12 days to complete the job alone? Choose the correct choice from the following:
A) 7
B) 4
C) 6
D) 2
E) 7

Solution: Explanation:   David and Moore complete half work in 3 days   => they can complete whole work in 6 days   Answer: Option 6
Answer: C
A train passes a station platform in 36 seconds and a man standing on the platform in 25 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?  Answers:
A) 877 m B) 165 m C) 167 m D) 887 m E) 265 m

Solution: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train   = (15 x 25)m = 375 m. Let the length of the platform be x meters. Then, (x + 375)/36 = 15   ==> x + 375 = 540 ==> x   = 165 m.   Answer: 165 m
Answer: B
In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (-8, 1), (1, 1), (1, -7 and (-8, -7)?
Choose the most appropriate option
A) 144  B) 36  C) 72  D) 56  E) 112

Solution: Length of side 1= 8+1= 
8+1 = 9
9   Length of side 2= 7+1= 
7+1 = 8
8   Area of rectangle= 9*8= 
9*8 = 72
72   72 is the answer
Answer: C
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?  Choose the correct choice from the following options
A) 2/29	B) 2/17	C) 2/21	D) 2/28	E) 2/11

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. Probability that both marbles are blue = ³2/21₂/¹⁵2/21₂ = (3 * 2)/(15 * 14) = 1/35   Probability that both are yellow = ²2/21₂/¹⁵2/21₂ = (2 * 1)/(15 * 14) = 1/105   Probability that one blue and other is yellow = (³2/21₁ * ²2/21₁)/¹⁵2/21₂ = (2 * 3 * 2)/(15 * 14) = 2/35   Required probability = 1/35 + 1/105 + 2/35   = 3/35 + 1/105 = 1/35(3 + 1/3)   = 10/(3 * 35) = 2/21   Answer: 2/21
Answer: C
A discount of 20 percent on an order of goods followed by a discount of 20 percent amounts to  Answers:
A) the same as one 45 percent discount	B) the same as one 40 percent discount	C) the same as one 36 percent discount	D) the same as one 30 percent discount	E) the same as one 25 percent discount

Solution: Say initial order = 100   Discount 20% = 20   Value = 100 - 20= 
100 - 20 = 80
80   Again discount 20%=80∗20100=16=80∗20100=16   Value = 80-16= 
80-16 = 64
64   Total discount= 20+16= 
20+16 = 36
36   Answer= the same as one 36 percent discount) the same as one 36 percent discount
Answer: C
In the set of positive integers from 1 to 90, what is the sum of all the odd multiples of 5? Choose the correct choice from the following options.
A) 180
B) 245
C) 320
D) 405
E) 450

Solution: reduce 1 - 90   5 - 15 - 25 - 35 - 45--55--65--75--85 are valid multiples. Add them --> 405   405
Answer: D
A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 9 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) 16	C) 21	D) 24	E) 27

Solution: I treat such problems as work ones.   Work=Rate*Time   Mileage(m)=Rate(mpg)*Gallons(g)   X gallons is a full tank   {462=RX   {336=(R-9)X solve for R, R=33   33-9= 
33-9 = 24
24 mpg   24
Answer: D
A metallic sheet is of rectangular shape with dimensions 30 m x 25 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 6 m, the volume of the box (in m cube) is: Choose the correct choice from the following choices:
A) 920 m cube
B) 840 m cube
C) 1000 m cube
D) 120 m cube
E) None of these

Solution: Explanation:   l = (30-12)m = 20 m, [because  6+6= 
 6+6 = 12
12]   b= (25-12)= 
(25-12) = 13
13 m,   h= 6 m.   Volume of the box = (12X13X6) m cube   = 936 m cube.   Option None of these
Answer: E
A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half? Choose the correct choice from the following answers: A) 15 min B) 20 min C) 27.5 min D) 30 min E) 25 min

Solution: Part filled by (A + B) in 1 minute = (1/60 + 1/40) = 1/24   Suppose the tank is filled in x minutes.   Then, x/2(1/24 + 1/40) = 1   x/2 * 1/15 = 1 => x = 30 min   ANSWER:30 min
Answer: D
One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 14 cm2. Find the lengths of all sides. Pick
A) 10 and 3	B) 7 and 10	C) 10 and 7	D) 3 and 10	E) 8 and 5

Solution: Let x be the length of the longer side x>3, then the other side's length is x−3 cm. Then the area is S1 = x(x - 3) cm2. After we increase the lengths of the sides they will become (x+1) and (x−3+1)=(x−2) cm long. Hence the area of the new rectangle will be A2=(x+1)⋅(x−2) cm2, which is 14 cm2 more than the first area. Therefore   A1+14=A2   x(x−3)+14=(x+1)(x−2)   x2−3x+14=x2+x−2x−2   2x=16   x=8. So, the sides of the rectangle are 8 cm and (8−3)=5 cm long.   So answer is 8 and 5.
Answer: E
The ratio of the volumes of two cubes is 729 : 1000. What is the ratio of their total surface areas?
Choose the correct choice from the following.
A) 81 : 100
B) 9 : 11
C) 729 : 1331
D) 27 : 121
E) None of these

Solution: Ratio of the sides = Â³âˆš729 : Â³âˆš1000 = 9 : 10   Ratio of surface areas = 9^2 : 10^2 = 81 : 100   81 : 100NSWER:81 : 100
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 21 seconds. What is the length of the train?  Select the correct option: A) 350 m B) 278 m C) 876 m D) 150 m E) 267 m

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train   = (Speed x Time)   = (50/3 * 21)= 
(50/3 * 21) = 350
350 m.   350 mnswer: 350 m
Answer: A
A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 20 percent of the drive from the center, what percent of the round-trip has the technician completed? Pick one:
A) 5%
B) 10%
C) 60%
D) 40%
E) 50%

Solution: The complete round trip consists of driving to the service center and then back home again.   So, once the technician drives to the service center he/she has already competed 50% of the entire trip.   Since the technician completes a portion of the trip back home,the correct answer must be greater than 50%   Only one answer choice works.   Answer:   60%
Answer: C
An amount of Rs.95000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?  Select:  A) s. 52500; Rs. 47500  B) s. 59375; Rs. 35625  C) s. 72500; Rs. 27500  D) s. 82500; Rs. 17500  E) s. 72500; Rs. 17500

Solution: Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (95000 - x). Then,   (x * 9 * 1)/100 + [(95000 - x) * 11 * 1]/100 = (95000 * 39/4 * 1/100)   (9x + 1045000 - 11x)/100 = 39000/4 = 18525/2   x = 59375   Sum invested at 9% = Rs. 59375   Sum invested at 11% = Rs. (95000 - 59375) = Rs. 35625.   ANSWER:s. 59375; Rs. 35625
Answer: B
If r = 199,999 and s = 991,999, which of the following is the units digit of r^5 + s^4?  Pick
A) 0
B) 1
C) 2
D) 8
E) 9

Solution: The exponents of 9 cycle between 9 (odd exponents) and 1 (even exponents).   Then the sum of r^5+s^4 will have the units digit of 9+1= 
9+1 = 10
10 as a units digit.   The answer is 0.
Answer: A
At present, the ratio between the ages of Arun and Deepak is 4:5. After 5 years, Arun's age will be 25 years. What is the age of Deepak at present?	Select:
A) 18 B) 20 C) 25 D) 23 E) 22

Solution: Let the present ages of Arun and Deepak be 4x and 3x years respectively.   Then, 4x + 5 = 25 => x = 5   Deepak's age = 5x = 25 years.   Answer: 25
Answer: C
Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 47 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast? Choose the correct choice from the following
A) 10%
B) 6%
C) 15%
D) 17%
E) 20%

Solution: Let me try a simpler one.   Lets assume that candidate got 47% votes and total votes is 100.   Candidate won = 47   Remaining = 53   To get 50%, candidate requires 3 votes from 100 which is 3% and 3 votes from 53.   3/53 = .056= 5.6%   Which is approx 6%. Hence the answer is 6%.
Answer: B
Find the value of c from (8)^3 x 9^3 Ã· 679 = c.
Choose the correct choice
A) 249.7  B) 529.7  C) 549.7  D) 594.7  E) 119.7

Solution: Given Exp. =(8)^3 x 9^3 Ã· 679 = c   = 512 x 729 Ã· 679   = 549.7   549.7
Answer: C
Sixty percent of a number is 21 less than four fifth of that number. What is the number ?
Choose the correct choice from the following choices:
A) 240  B) 140  C) 230  D) 130  E) 105

Solution: Let the number be x.   Then, 4*x/5 â€“(60% of x) = 21   4x/5 â€“ 60x/100 = 21   x = 105.   Answer 105.
Answer: E
Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 46 kmph respectively. In how much time will they cross each other, if they are running in the same direction?
Choose the correct choice from the following answers:	A) 72 sec	B) 210 sec	C) 192 sec	D) 252 sec	E) None

Solution: Solution   Relative Speed	= (46 - 40 )= 
(46 - 40 ) = 6
6 kmph=(6 x 5 / 18)m/sec   = (30 / 18 ) m/sec   Time taken	= (350 x 18 / 30) sec   = 210 sec.   Answer 210 sec
Answer: B
How many 3-digit even numbers are possible such that if one of the digits is 4, the next/succeeding digit to it should be 7?  Pick.
A) 305  B) 5  C) 365  D) 405  E) 495

Solution: 470, 472, 474, 476, and 478, so total 5. Hence Option 5.
Answer: B
What is the next number of the following sequence
10, 7, 12, 10, 14, __ ?	Select the correct option.
A) 13  B) 14  C) 15  D) 16  E) 17

Solution: combine two series:   1st series is:10 12 14   10+2= 
10+2 = 12
12   12+2= 
12+2 = 14
14   14+2= 
14+2 = 16
16   2nd series is:7 10   means its  7+3= 
 7+3 = 10
10   10+3= 
10+3 = 13
13   13NSWER:13
Answer: A
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m? Select:
A) 1350
B) 277
C) 299
D) 266
E) 29912

Solution: 1350rea = (l + b +2d) 2d   = (75 + 55 +2.5 * 2) 2*2.5 => 675   675 * 2 = Rs.1350   1350nswer:1350
Answer: A
In how many different number of ways 7 men and 2 women can sit on a shopa which can accommodate persons?
Pick one
A) A)160 B) B)170 C) C)190 D) D)15120 E) E)230

Solution: 9p5 = 9 x 8 x 7 × 6 × 5 = 15120   Option '15120'
Answer: D
The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?	Choose the correct choice
A) 16 2/3%
B) 16 2/8%
C) 16 7/3%
D) 16 5/3%
E) 16 6/3%

Solution: 15 CP = 18 SP   18 --- 3 CP loss   100 --- ? => 16 2/3% loss   16 2/3%nswer: 16 2/3%
Answer: A
If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers
Choose the correct choice
A) 23 B) 28 C) 48 D) 25 E) 99

Solution: Explanation:   H.C.F = (Product of the numbers) / (Their L.C.M) = 18750/750= 
18750/750 = 25
25.   Answer: 25
Answer: D
On January 1, 2004 two new societies, S1 and S2, are formed, each with n members. On the first day of each subsequent month, S1 adds b members while S2 multiplies its current number of members by a constant factor r. Both the societies have the same number of members on July 2, 2004. If b = 10.5n, what is the value of r? Choose the correct choice from the following choices:
A) 2
B) 9
C) 1.8
D) 1.7
E) None

Solution: Explanation :   Jan 1 – S1 and S2 has n members. Till july 2nd, there are 6 more months, and hence 6 more additions.   In S1, b members are added each month. So after 6 months, S1 has n + 6b.   In S2, r members are multiplied each month. So after 6 months, S2 has n * r6.   After 6 months, both are same, hence   => n + 6= 
+ 6 = 6
nr6. ----------------- (1)=> b = 10.5 n. (given)   => 6b = 63n hence.   Substituting in (1)   So, 64n = nr6. Cancelling n on both sides, we have r6 = 64 or r = 2.   2nswer : 2
Answer: A
A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400. Pick one
A) 1999  B) 1900  C) 19077  D) 19055  E) 19012

Solution: 65 * 6 : 84 * 5 : 100 * 3   26:28:20   C share = 74000 * 95/100 = 7030 * 20/74= 
7030 * 20/74 = 1_900
> 1900   Answer: 1900
Answer: B
Seven different books (A, B, C, D,E,F and G) are to be arranged on a shelf. Books A , B and C are to be arranged first and second starting from the right of the shelf. The number of different orders in which books D,E, F and G may be arranged is  Choose the correct choice.
A) 4!
B) 15!
C) 16!
D) 28!
E) 42!

Solution: Solution   Since books A,B and C are arranged first and second, only books D, E,F and G will change order. Therefore it an arrangement problem involving 4 items and the number of different order is given by   4!   4!nswer 4!
Answer: A
The H.C.F. of two numbers is 18 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is: Choose the correct choice from the following options: A) 270 B) 300 C) 299 D) 322 E) 345

Solution: the numbers are (18 x 11) and (18 x 15).   Larger number = (18 x 15) = 270.   270NSWER :270
Answer: A
Pipe A fills a swimming pool in 4 hours. Pipe B empties the pool in 6 hours. If pipe A was opened at 9:00 am and Pipe B at 10:00 am, at what time will the pool be full?	Choose the correct choice from the following answers.
A) 19:00 B) 17:00 C) 16:00 D) 18:00 E) 20:00

Solution: Pipe A fills the pool in 4 hrs.   1 hour's work : 1/4   Pipe B empties the pool in 6 hrs.   1 hour's work : 1/6   Together if they work, 1 hour's work = 1/4 -1/6 = 1/12   Given : Pipe 19:00 started at 9:00 a.m and Pipe B at 10:00 a.m   Pool filled after 1 hour by Pipe 19:00 : 1/4 or 3/12   19:00fter 10:00 a.m   Pool filled after 1 hour with both the pipes on : 1/12   Pool filled after 9 hours with both pipes on : 9/12   Pool filled in 1 hour + Pool filled in 9 hours = 3/12 +9/12= 
3/12 +9/12 = 1
1   Therefore, it takes 10 hrs to fill the pool   19:00s Pipe 19:00 started at 9:00 a.m, pool is full at 19:00 hrs   19:00nswer : 19:00
Answer: A
Sum of ages of two friends is 25 while difference is 3 then their ages are Choose the correct choice from the following options.
A) 15 years, 17 years  B) 11 years, 14 years  C) 16 years, 20 years  D) 10 years, 16 years  E) None

Solution: 11,14   ANSWER:11 years, 14 years
Answer: B
If x is even and y is odd, which of the following is odd?  Select the correct option
A) xy	B) 5xy	C) 6(x^2)y	D) 5x + 6y	E) 6x + 5y

Solution: Just checking options (In case you have difficulty then choose values of r=2 and t=1)   x = even   y= Odd   A. xy = Even*Odd = EvenINCORRECT   B. 5xy = Odd*Even*Odd = EvenINCORRECT   C. 6(x^2)y = 6*(Even^2)*Odd = EvenINCORRECT   D. 5x + 6y = 5*Even + 6*Odd = Even+Even = EvenINCORRECT   E. 6x + 5y = 6*6x + 5yven + 5*Odd = 6x + 5yven+Odd = OddCORR6x + 5yCT   Answer: option 6x + 5y
Answer: E
The average marks of 10 students in a class is 100. But a student mark is wrongly noted as 50 instead of 10 then find the correct average marks?
Choose one.
A) A)78	B) B)82	C) C)96	D) D)91	E) E)85

Solution: correct avg marks = 100+(10-50)/10   avg = 100-4= 
100-4 = 96
96   Answer is 96
Answer: C
The difference between the ages of two persons is 10 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of the elder person is
Choose the correct choice from the following answers
A) 25 years  B) 30 years  C) 35 years  D) 40 years  E) None

Solution: Sol.   Let their ages of x years and (x + 10) years respectively.   Then, (x + 10) - 15 = 2(x - 15)   ⇔ x - 5 = 2x - 30   ⇔ x = 25.   ∴ Present age of the elder person = (x + 10)   = 35 years.   Answer 35 years
Answer: C
How many times does the minute hand go round in a day?
Answers
A) 21	B) 20	C) 12	D) 26	E) 25

Solution: C   12   period = 65 minutes/60 minutes = 1.08.   The number of cycles per hour then = 1/period = 1/1.08 = .923.   The number of cycles in 24 hours, then = (0.923)(24) = 22.153. That's how you compute how many times the minute hand catches up the hour hand in 24 hours (round to 22)
Answer: C
If a man buys 20 lollipops for $90 and sold them for $2 dollars determine his loss.  Select.
A) $ 40.
B) $ 50.
C) $ 60.
D) $ 70.
E) None

Solution: Solution:   Cost of 20 lollipops = $90   Sold each lollipop for $2   So he sold 20 lollipops for $(20 × 2) = $40   Loss = $(90 – 40) = $50   Therefore, loss = $ 50.   Answer $ 50.
Answer: B
A committee has 3 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?  Select the correct option:	A) 127	B) 60	C) 882	D) 272	E) 323

Solution: The number of ways to select two men and three women   = 3C₂ * ⁶C₃   = (3 *2 )/(2 * 1) * (6 * 5 * 4)/(3 * 2)= 
(3 *2 )/(2 * 1) * (6 * 5 * 4)/(3 * 2) = 60
60   Answer: 60
Answer: B
In shop contains 500 articles each of a cost of $10. He sold them at a price of $12. If the shop keeper has a order of 200 articles, how much profit he will get?	Pick
A) 200 B) 2000 C) 1500 D) 400 E) 600

Solution: Total money after selling articles = 200*12= 
200*12 = 2_400
2400   cost price= 200*10= 
200*10 = 2_000
2000   profit= 400   correct option is 400
Answer: D
Last year, the price of a vacation package was P. At the beginning of this year, the price went up 45%. Lucas used a travel voucher to purchase the vacation package at 35% off this year’s price. In terms of P, how much did Lucas pay? Choose the most appropriate option:
A) P + 10 B) 0.91*P C) 0.92*P D) 0.93*P E) 0.94*P

Solution: Last year price = P;   This year price = 1.45P;   Lucas used a travel voucher to purchase the vacation package at30%offthis year’s price, thus he paid (1 - 0.35)*1.45P = 0.94P.   Answer: 0.94*P.
Answer: E
For all even integers n, h(n) is defined to be the sum of the even integers between 6 and n, inclusive. What is the value of h(18)/h(10) ?
Choose the correct choice from the following answers:
A) 1.8  B) 4  C) 6  D) 18  E) 60

Solution: CONCEPT: When terms are in Arithmetic Progression (A.P.) i.e. terms are equally spaced then   Mean = Median =(First+Last)/2   and Sum = Mean*Number of terms   h(18) = [(6+18)/2]*7 = 84   h(10) (6+18)/2 *7= 
(6+18)/2 *7 = 84
84   h(10)= (6+10)/2]*3 = 24   h(18)/h(10) (6+10)/2 *3= 
(6+10)/2 *3 = 24
24   h(18)/h(10)= (84) / (24) ~ 4   Answer : 4
Answer: B
A certain article of clothing was discounted during a special sale to 4/5 of its original retail price. When the clothing didn't sell, it was discounted even further to 1/2 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the second sale?	Answers:
A) 50% B) 33.33% C) 40% D) 16.66% E) 12.5%

Solution: Say the original retail price of the item was $200.   The price after the first sale = 4/5 * $200 = $160.   The price after the second sale 4/5 *  200= 
4/5 *  200 = 160
$160.   The price after the second sale= 1/2 * $200 = $100.   The percent change from the first sale to the second 1/2 *  200= 
1/2 *  200 = 100
$100.   The percent change from the first sale to the second= (160 - 100) / 150 = 1/3 = 40%.   Answer: 40%.
Answer: C
Indu gave Bindu Rs.2500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest? Choose the correct answer
A) s.10 B) s.2 C) s.5 D) s.3 E) s.4

Solution: 2500 = D(100/4)2   D = 4   ANSWs.4R:s.4
Answer: E
The height of the wall is 6 times its width and length of the wall is 7 times its height .if the volume of the wall be 86436 cu.m.its width is
Pick:
A) 4m B) 5m C) 6m D) 7m E) 8m

Solution: Explanation:   Let width = x   Then, height=6x and length=42x   42x Ã— 6x Ã— x = 86436   x = 7   Answer: 7m
Answer: D
If m = 3^n, what is the greatest value of n for which m is a factor of 31!
Pick one:
A) 8	B) 10	C) 12	D) 14	E) 16

Solution: Solution-   Consider multiples of 25!=> 3,6,9,12,15,18,21,24,27,30   Count no. of 3 in each multiple.   3=3x1->1   6=3x2->1   9=3x3->2   12=3x4->1   15=3x5->1   18=3x3x2->2   21=3x7->1   24=3x8->1   27=3x3x3->3   30=3x10->1   ---- count 3's =14 so answer is 14   Answer : 14
Answer: D
A watch was sold at a loss of 12%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price? Choose the correct answer.
A) 875  B) 2876  C) 1977  D) 2778  E) 2711

Solution: 88%   104%   --------   16% ---- 140   100% ---- ? => Rs.875   875nswer: 875
Answer: A