MU-NLPC/Calc-aqua_rat huggingface dataset:
Number of ways in which the letters of word PARTE can be arranged with vowels in alphabetical order, is Choose one
A) 360	B) 240	C) 120	D) 480	E) 60

Solution: Solution   Order of vowels of fixed   âˆ´ required number of ways are 5!/2!.   Answer 60
Answer: E
find which among the integer numbers is the sum of 3 consecutive even integers?  Choices:
A) 200  B) 303  C) 400  D) 554  E) 576

Solution: Sum of three consecutive Even Integers must be a multiple of 2 as well as a multiple of 3 because such a sum is always 3 times the middle number (applicable to all equally spaced numbers)   Divisibility of 3: Sum of the digits of the number must be divisible by 3   Divisibility of 2: Unit digit of the number must be divisible by 2   A. 200NOT A MULTIPLE OF 3 SO RULED OUT   B. 303NOT A MULTIPLE OF 2 SO RULED OUT   C. 400NOT A MULTIPLE OF 3 SO RULED OUT   D. 554NOT A MULTIPLE OF 3 SO RULED OUT   E. 576A MULTIPL576 OF BOTH 2 AND 3 SO TH576 CORR576CT ANSW576R!!!
Answer: E
If 60 J of energy are available for every 15 C of charge, what is the voltage?	Choose the correct choice from the following answers:  A) 4V  B) 3V  C) 7V  D) 9  E) 2

Solution: Explanation:   No answer description available for this question   4Vnswer: Option 4V
Answer: A
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?  Choose one
A) 288 B) 277 C) 342 D) 662 E) 262

Solution: 400*(90/100)*(95/100)= 
400*(90/100)*(95/100) = 342
342   Answer: 342
Answer: C
A boat moves upstream at the rate of 1 km in 25 minutes and down stream 1 km in 12 minutes. Then the speed of the current is : Choose the correct choice from the following options:	A) 1 kmph	B) 2 kmph	C) 3 kmph	D) 1.3 kmph	E) 3.5 kmph

Solution: Rate upstream = (1/25 *60)= 
(1/25 *60) = 12/5 = around 2.4
2.4 kmph   Rate dowm stream= 1/12 * 60= 
1/12 * 60 = 5
5 kmph   Rate of the current= ½ (5-2.4) = 1.3 kmph   ANSWER:1.3 kmph
Answer: D
The length of the room is 5.5m and width is 3.75m. Find the cost of paving the floor by slabs at the rate of Rs.800 per sq meter Select:
A) rs.16500	B) rs.15500	C) rs.17500	D) rs.18500	E) None of these

Solution: Explanation:   l=5.5m w=3.75m   area of the floor = 5.5 * 3.75= 
5.5 * 3.75 = 20.625
20.625 sq m   cost of paving= 800 *20.625 =Rs. 16500 rs.16500nswer: rs.16500
Answer: A
In a division, a student took 78 as divisor instead of 36. his answer was 24 . The correct answer is- Choose the correct choice from the following choices:
A) 42  B) 32  C) 48  D) 52  E) 38

Solution: X/78 = 24.   X = 24 *78.   So correct answer would be,   (24 *78) /36= 
(24 *78) /36 = 52
52.   ANSWER : 52
Answer: D
It was calculated that 75 men could complete a piece of work in 30 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work?  Select the correct option:
A) 20 days.
B) 30 days.
C) 25 days.
D) 28 days.
E) 45 days.

Solution: One day work = 1 / 30   One man’s one day work = 1 / ( 30 * 75)   Now:   No. Of workers = 50   One day work = 50 * 1 / ( 30 * 75)   The total no. of days required to complete the work = (75 * 30) / 50= 
(75 * 30) / 50 = 45
45   Answer:45 days.
Answer: E
The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?	Choose the correct choice:  A) 91.5  B) 91.4  C) 91.7  D) 91.3  E) 91.1

Solution: Perimeter of the sector = length of the arc + 2(radius)   = (135/360 * 2 * 22/7 * 21) + 2(21)   = 49.5 + 42= 
49.5 + 42 = 91.5
91.5 cm   91.5nswer:91.5
Answer: A
A student has 7 trousers and 9 shirts. In how many different ways can the student select a trouser and a shirt?	Choose the correct answer:  A) 45  B) 51  C) 57  D) 63  E) 69

Solution: The student can select one trouser in 7 ways.   The student can select one shirt in 9 ways.   The number of ways to select one trouser and one shirt is  7 * 9= 
 7 * 9 = 63
63 ways   The answer is 63.
Answer: D
A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?  Pick:
A) 32
B) 545
C) 88
D) 66
E) 09

Solution: S = (100 + 300)/45 = 400/45 * 18/5= 
400/45 * 18/5 = 32
32   32nswer: 32
Answer: A
A man has Rs. 496 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?	Pick
A) 80  B) 93  C) 95  D) 98  E) 100

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 496   16x = 496   x = 31.   Hence, total number of notes = 3x = 93.   93
Answer: B
During a two-week period, the price of an ounce of silver increased by 25 percent by the end of the first week and then decreased by 20 percent of this new price by the end of the second week. If the price of silver was x dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce, by the end of the period?  Choose the correct choice from the following answers: A) 0.8x B) 0.95x C) x D) 1.05x E) 1.25x

Solution: The price by the end of the period = (x*1.25)*0.8 = x.   Answer: x.
Answer: C
The cost per pound of milk powder and coffee were the same in June. In July, the price of coffee shot up by 200% and that of milk powder dropped by 60%. If in July, a mixture containing equal quantities of milk powder and coffee costs $5.10 for 3lbs, how much did a pound of milk powder cost in July?	Pick one:
A) $4 B) $0.4 C) $1 D) $3 E) $1.65

Solution: Lets assume price of Coffee in June =100x   Price of Tea in June =100x   Price of Coffee in July = 300x (because of 200% increase in price)   Price of Tea in July = 40x (because of 60% Decrease in price)   Price of 1.5 pound of Coffee1.5 pound of Tea in July will be = 450x + 60x = 510x   As per question   510x450  + 60= 
450  + 60 = 510
510x   As per question   510x= 5.10$   x = 0.01S   So the Price of Tea in July = 40x = 40 x 0.01 = 0.4$/pound   Answer $0.4
Answer: B
The security gate at a storage facility requires a four-digit lock code. If the lock code must consist only of digits from 1 through 7, inclusive, with no repeated digits, and the first and last digits of the code must be odd, how many lock codes are possible?  Choose the correct choice from the following choices.
A) 120	B) 240	C) 360	D) 720	E) 1440

Solution: X-X-X-X-X --> there are 4 odd digits from 1 to 7, inclusive thus options for the first and the last X's are: 4-X-X-3. Other X's can take following values: 4-5-4-3 --> 4*5*4*3=240.   Answer: 240.
Answer: B
A can do a piece of work in 20days, and B can do it in 15days. How long will they take if both work together?  Choose the correct answer: A) 7days B) 8.6days C) 13days D) 5.6days E) 10days

Solution: A+8.6days can do the work in 20*15 / 20+15 = 20*15/35 = 8.6days   Answer is 8.6days
Answer: B
The number of students in each section of a school is 24. After admitting new students, three new sections were started. Now, the total number of sections is 16 and there are 21 students in each section. The number of new students admitted is:
Choose the correct choice from the following choices:
A) 12
B) 42
C) 24
D) 28
E) 26

Solution: Original number of sections = 16 - 3= 
16 - 3 = 13
13   Original number of students= 24 x 13 = 312   present number of students = 21 x 16 = 336   Number of new students admitted = 336 - 312= 
336 - 312 = 24
24   so the answer is option 24) 24.
Answer: C
Kelvin is expected to pay a total of $1968300 on his mortgage with his bank. He is expected to make an initial monthly payment of $150 after which his monthly payment will be triple the amount of the previous month. How many months will it take him to fully repay the mortgage?
Choose the correct choice from the following options
A) 10 B) 13 C) 10 D) 9 E) 11

Solution: First payment--$150   Total amount to be repaid--$285000   First month payment--$150   Second month payment( triple the previous month payment)--$150*3=$300   Third month payment( triple the previous month payment)--$300*3=$900   Fourth month payment( triple the previous month payment)--$900*3=$2700   Fifth month payment( triple the previous month payment)--$2700*3=$8100   Sixth month payment( triple the previous month payment)--$8100*3=$24300   Seventh month payment( triple the previous month payment)--$24300*3=$72900   Eight month payment( triple the previous month payment)--$72900*3=$218700   Ninth month payment( triple the previous month payment)--$218700*3=$656100   Tenth month payment( triple the previous month payment)--$656100*3=$1968300   Answer is 10
Answer: C
Bobby bought 3 shares, and which he sold for $96 each. If he had a profit of 20% on the sale of 2 of the shares each but a loss of 20% on the sale of the other share, then on the sale of both shares Bobby had...
Select the correct option:	A) a profit of 10	B) a profit of 8	C) a loss of 8	D) a loss of 10	E) neither a profit nor a loss

Solution: Cost of the first stock: 96/1.2= 
96/1.2 = 80
80, so profit from it  96-80= 
 96-80 = 16
16== > 16*2= 
16*2 = 32
32 profit on 2 shares   Cost of the second stock: 96/0.8= 
96/0.8 = 120
120, so loss from it 96-120=-24   Overall profit 32-24=+8   Answer: a profit of 8.
Answer: B
Bhanu spends 30% of his income on petrol on scooter 21% of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?	Choices: A) 2287 B) 140 C) 128 D) 797 E) 147

Solution: Given 30% (Income ) = 300 ⇒⇒ Income = 1000   After having spent Rs.300 on petrol, he left with Rs.700.   His spending on house rent = 21% (700) = Rs.147   Answer:147
Answer: E
A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be A's share in the total profit of Rs.25,000 earned at the end of 2 years from the starting of the business? Pick:
A) Rs.7500	B) Rs.9000	C) Rs.9500	D) Rs.10,000	E) None

Solution: Solution   A : B : C	=(20000×24):(15000×24):(20000×18)   =4 :3 :3   A's share	=Rs.(25000×4/10)   = Rs.1000.   Answer Rs.10,000
Answer: D
If two projectiles are launched at the same moment from 1455 km apart and travel directly towards each other at 470 km per hour and 500 km per hour respectively, how many minutes will it take for them to meet?	Choose the correct answer
A) 90 B) 85 C) 80 D) 75 E) 70

Solution: The projectiles travel a total of 970 km per hour.   The time to meet is   1455/970= 
  1455/970 = 3/2 = around 1.5
1.5 hours= 90 minutes   The answer is 90.
Answer: A
Boy sells a book for Rs. 450 he gets a loss of 10 %, To gain 10 %, what should be the SP?  Select
A) Rs.450 B) Rs.500 C) Rs.550 D) Rs.640 E) Rs.650

Solution: Find Selling Price to gain 10 %.   Now, we are asked to find selling price to gain 10% profit.   Hint:   Selling Price =	(100 + Gain%)	× C.P.   100   Selling Price =	(100 + 10)	× 500   100   Selling Price =	(110)	× 500   100   Therefore, selling Price = Rs.550   Rs.550
Answer: C
At a certain organisation, the number of male members went up by 15% in the year 2001 from year 2000, and the number of females members went down by 6% in the same time period. If the total membership at the organisation went up by 1.2% from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000?
Pick:
A) 1:2	B) 1:3	C) 2:3	D) 3:2	E) 2:1

Solution: men increase by 15% ==> 1.15M = males in 2001   women decrease by 6% ==> 0.94F = women in 2001   total employees increase by 1.2% ==> 1.012*(M + F) = total number of employees in 2001   Obviously   (males in 2001) + (females in 2001) = total number of employees in 2001   1.15M + 0.94F = 1.012*(M + F)   1.15M + 0.94F = 1.012M + 1.012F   1.15M - 1.012M = 1.012F - 0.94F   0.138M = 0.072F   M/F = (0.072)/(0.138) = 72/138 = 1/2   1:2nswer =(1:2)
Answer: A
In the first 25 overs of a cricket game, the run rate was only 5.4. What should be the run rate in the remaining 25 overs to reach the target of 400 runs?  Choose the most appropriate option
A) 16.5
B) 13.2
C) 10.6
D) 11.2
E) 7.25

Solution: Required run rate = 400 - (5.4 x 25)	/25	=	265/25= 
265/25 = 53/5 = around 10.6
10.6 Option 10.6
Answer: C
The president of a country and 4 other dignitaries are scheduled to sit in a row on the 5 chairs represented above. If the president must sit in the center chair, how many different seating arrangements are possible for the 5 people? Choose the correct choice from the following
A) 4  B) 5  C) 20  D) 24  E) 120

Solution: If the president is sitting in the center, you only have 4 chairs left. There are 4 possibilities for 1st chair, 3 possibilities for 2nd chair, 2 possibilities for 3rd chair, and 1 for last chair. Multiply all those and you get 24.   ANS:24.
Answer: D
A standard Veggiematik machine can chop 40 carrots in 4 minutes. How many carrots can 4 standard Veggiematik machines chop in 5 minutes?
Choose the correct choice:
A) 50
B) 100
C) 150
D) 200
E) 250

Solution: 200irect Relationship:-   1 standard Veggiematik machine - 40 Carrots - 4 minutes,   1 standard Veggiematik machine - 10 Carrots - 1 minute,   Now   4 standard Veggiematik machine - ? Carrots - 5 minutes,   Hence = 10X4X5 =200 Carrots   Answer 200
Answer: D
{10,9,3,4,2}
Of the following value which value should be inserted in the set of 5 values to get a median of 4?  Pick one.
A) 3  B) 5  C) 6  D) 8  E) 7

Solution: Median is the middle number of a sorted distribution. In case of even number of items, Median will be the average of middle two values.   The question asks fora new number that will cause the median of new set at 4.   Mentionable that given set is already sorted and number of items of new set will be 5+1= 
5+1 = 6
6.   To get median 4,the sum of 3th4th Term should be 8.   So to keep the median 4,the new item should be >=5.   The answer is 5
Answer: B
Set A contains three different positive odd integers and five different positive even integers. Set B contains two different positive odd integers and three different positive even integers. If one integer from set A and one integer from set B are chosen at random, what is the probability that the product of the chosen integers is even?  Pick one: A) 3/5 B) 7/10 C) 11/20 D) 17/20 E) 33/40

Solution: There can be an odd product only if both integers are odd.   P(odd product) = 3/8*2/5 = 3/20   P(even product) = 1 - 3/20 = 17/20   The answer is 17/20.
Answer: D
Right triangle XYZs the base of the prism in the figure above. If XY=XZ=âˆš9 and the height of the prism is 6, what is the volume of the prism?	Pick
A) 3 B) 27 C) 13 D) 12 E) 15

Solution: Volume of prism = Area of base * height = 1/2* (square root of 9) * (square root of 9)*6=27   Answer: 27
Answer: B
Missing number in the series
4 9 20 43 90 185 376 759 1526 3061 ?	Choose the correct choice from the following choices.
A) 6132
B) 6185
C) 6190
D) 6195
E) 6180

Solution: 4*2+1= 
4*2+1 = 9
9   9*2+2= 
9*2+2 = 20
20   20*2+3= 
20*2+3 = 43
43   43*2+4= 
43*2+4 = 90
90   185*2+6= 
185*2+6 = 376
376   376*2+7= 
376*2+7 = 759
759   759*2+8= 
759*2+8 = 1_526
1526   1526*2+9= 
1526*2+9 = 3_061
3061   3061*2+10= 
3061*2+10 = 6_132
6132   6132NSWER:6132
Answer: A
The product of all the prime numbers less than 15 is closest to which of the following powers of 10 ? Choices
A) 10^9	B) 10^8	C) 10^7	D) 10^6	E) 10^4

Solution: P = 2*3*5*7*11*13   = 21 * 11 * 13*10   ~ 10^ 4   Answer : 10^4
Answer: E
The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?  Choose the correct option:
A) Rs. 2100 B) Rs. 2200 C) Rs. 2400 D) Rs. 2500 E) Rs. 2550

Solution: Let the price of a saree and a shirt be Rs. x and Rs. y respectively.   Then, 2x + 4y = 1600 .... (i)   and x + 6y = 1600 .... (ii)   Divide equation (i) by 2, we get the below equation.   => x + 2y = 800. --- (iii)   Now subtract (iii) from (ii)   x + 6y = 1600 (-)   x + 2y = 800   ----------------   4y = 800   ----------------   Therefore, y = 200.   Now apply value of y in (iii)   => x + 2 x 200 = 800   => x + 400 = 800   Therefore x = 400   Solving (i) and (ii) we get x = 400, y = 200.   Cost of 12 shirts = Rs. (12 x 200) = Rs. 2400.   Rs. 2400)
Answer: C
A and B invested some money such that capital of A is 20% more than that of B. If after one year they get profit of Rs.22000 then profit share of B is  Options.
A) Rs.7500 B) Rs.8000 C) Rs.9000 D) Rs.10,000 E) None of the above

Solution: A:B=120:100= 6:5   then B share =5/11*(22000)   =10,000   ANSWER:Rs.10,000
Answer: D
The diagonal of a cube is 8√3. find its volume and surface area. Choose the correct choice.
A) 354 B) 384 C) 324 D) 344 E) 364

Solution: √3.a = 8 √3 => a = 8   Volume = a(power)3 => (8 × 8 × 8) Cm(power)3 => 512 Cm(power)3   Surface area => 6 a(power)2 => (6 × 8 × 8) Cm(power)2 => 384 Cm(power)2   Answer is 384.
Answer: B
In what time will a train 100 meters long cross an electric pole, if its speed is 126 km/hr Choose the correct answer.
A) 8.5 seconds B) 2.86 seconds C) 3.5 seconds D) 2.5 seconds E) 2.6 seconds

Solution: First convert speed into m/sec   Speed = 126*(5/18)= 
126*(5/18) = 35
35 m/sec   Time= Distance/speed   = 100/35 = 2.86 seconds   Answer: 2.86 seconds
Answer: B
A shopkeeper has 280 kg of apples. He sells 45% of these at 20% profit and remaining 60% at 30% profit. Find his % profit on total. Choose the correct choice from the following.
A) 24% B) 25% C) 27% D) 28% E) 35%

Solution: If the total quantity was 100   Then 45X 20% + 60 X30%= 27   This profit will remain same for any total quantity unless the % of products remains the same. Hence '27%' is the answer
Answer: C
Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers? Choose the correct choice from the following choices
A) 65, 15	B) 64, 16	C) 62, 18	D) 60, 20	E) 61, 22

Solution: Explanation:   x + y = 80   x – 4y = 5   x = 65 y = 15   65, 15NSWER IS 65, 15
Answer: A
A water tank which could be filled in 5 hours takes one more hour to be filled as a result of a leak in its bottom. If the tank is full calculate the time it will take for the leak empty it? Choose the correct choice from the following options:
A) 32 hours B) 30 hours C) 34 hours D) 31 hours E) 33 hours

Solution: Part filled without leak in 1 hour = 1/5   Part filled with leak in 1 hour = 1/6   Work done by leak in 1 hour   =1/5âˆ’1/6=30 hours   Answer:30 hours
Answer: B
117 x 217 + 83 x 83=?  Pick one: A) 79698 B) 20578 C) 80698 D) 81268 E) None of them

Solution: =(117)^2 + (83)^2   =(100+17)^2 + (100-17)^2   =2[(100)^2+(17)^2]   =2[10000+289]   =2 x 10289 = 20578   Answer is 20578
Answer: B
When the integer x is divided by the integer y, the remainder is 60. Which of the following is a possible value of the quotient x/y?
I. 15.18
II.18.17
III. 17.16
Choose the correct answer:
A) I only
B) II only
C) III only
D) I and II only
E) I and III only

Solution: Problem statement was difficult to parse. but some how I managed to understand what we can do.   1) x/y = 15 + 0.18   2) x/y = 18 + 0.17   3) x/y = 17 + 0.15   w.k.t x = yn (i.e Q) + yk=60 (i.e remainder)   therefore :   1) y*0.18=60 -- we can't get y an integer.   2) y*0.17=60 -- we can't get y an integer.   3) y*0.16=60 -- we can get y an integer.   Therefore 3 are possible answers.   Ans III only.
Answer: C
Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 90 mph. What is his average speed of travel for the entire journey?  Answers:
A) 60 mph
B) 56.67 mph
C) 53.33 mph
D) 70 mph
E) 66.67 mph

Solution: Answer   Average speed of travel = Total distance travelled/Total time taken   Total distance traveled by Steve = Distance covered in the first 2 hours + distance covered in the next 3 hours.   Distance covered in the first 2 hours = speed * time = 40 * 2= 
40 * 2 = 80
80 miles.   Distance covered in the next 3 hours= speed * time = 90 * 3= 
90 * 3 = 270
270 miles.   Therefore, total distance covered= 80 + 270= 
80 + 270 = 350
350 miles.   Total time taken= 2 + 3= 
2 + 3 = 5
5 hours.   Hence, average speed= Total distance travelled/Total time taken=350/5= 
350/5 = 70
70 miles per hour.   Choice 70 mph
Answer: D
Integer X represents the product of all integers between 1 to 24 (inclusive). The smallest prime factor of (x+1) must be  Choose the correct choice from the following answers.
A) Between 1 to 10  B) Between 11 to 15  C) Between 15 to 20  D) Between 20 to 25  E) Greater than 24

Solution: Answer = E = Greater than 24   This problem is asking smallest prime factor of (24!+1)   25! already have there prime factors 2,3,5,7,11,13.......... so on upto 23 (1 cannot be considered prime factor)   Just adding 1 to 24! will remove all the factors stated above;   so the smallest possible prime factor has to be greater than 24   Answer = Greater than 24
Answer: E
Three people (1 couple and 1 single) are seated at random in a row of 8 chairs. What is the probability that the couple does not sit together? Select the correct option:
A) 2/3  B) 2/5  C) 3/8  D) 3/4  E) 4/5

Solution: The total number of arrangements of 3 people is   8*7*6= 
  8*7*6 = 336
336   Let's think of the couple as a single unit.   The number of arrangements when the couple sits together is 7*6*2= 
7*6*2 = 84
84.   Note that we multiply by 2 because the couple can switch places with each other.   The number of ways the couple won't sit together is  336 - 84= 
 336 - 84 = 252
252   P(couple won't sit together)= 252/336 = 3/4   The answer is 3/4.
Answer: D
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:  Select:
A) 100 B) 110 C) 120 D) 130 E) 140

Solution: Let the number of students in rooms A and B be x and y respectively.   Then, x - 10 = y + 10 x - y = 20 .... (i)   and x + 20 = 2(y - 20) x - 2y = -60 .... (ii)   Solving (i) and (ii) we get: x = 100 , y = 80.   The required answer 100 = 100.
Answer: A
A student was asked to find 4/5 of a number. But the student divided the number by 4/5, thus the student got 18 more than the correct answer. Find the number. Choose the correct option.
A) 30 B) 35 C) 40 D) 45 E) 50

Solution: Let the number be x.   (5/4) * x = (4/5)*x + 18   25x = 16x + 360   9x = 360   x = 40   The answer is 40.
Answer: C
Rohit walked 25 m towards south. Then he turned to his left and walked 20 m. He then turned to his left and walked 25 m. He again turned to his right and walked 15 m. At what distance is he from the starting point and in which direction?	Select the correct option:
A) 35 m East	B) 35 m North	C) 30 m West	D) 45 m East	E) 55 m East

Solution: ! 20 !--->15   ! !   !--->!     20+15= 
  20+15 = 35
35   35 m EastNSWER:35 m East
Answer: A
If the selling price is hexatrupled, the profit is septupled, what is the percentage of profit??  Choose the correct option.
A) 50%
B) 100%
C) 150%
D) 200%
E) 250%

Solution: we can make two equations from the given info..   let selling price be S and cost price be C..   so profit=P=S-C...   if S is doubled profit is tripled..   so 7P=6S-C..   or S=6P...   therefore C=P..   % of profit=P/P=100%   100%
Answer: B
What is the total number of P integers between 100 and 200 that are divisible by 3? Select the correct option.
A) 33	B) 32	C) 31	D) 30	E) 29

Solution: yes there is a different way of arriving at that answer ....   u can also use airthmetic progression to get the answer   since the first term to be divisble by 3 is 102 ..take that as A .. the starting no   and since 198 is the last digit to be divisible by 3 take that as N ...   since the difference is 3 take that as D   no u have to find what term is 198 take that as nth term   the formula for that is N = 33 + (n-1) * d   198 = 102 +(n-1) * 3   from this u get n =33
Answer: A