MU-NLPC/Calc-aqua_rat huggingface dataset:
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour? Select the correct option
A) 15 mins
B) 20 mins
C) 10 mins
D) 25 mins
E) 30 mins

Solution: speed of the bus excluding stoppages = 54 kmph   speed of the bus including stoppages = 45 kmph   Loss in speed when including stoppages = 54 - 45= 
54 - 45 = 9
9kmph=> In 1 hour, bus covers 9 km less due to stoppages   Hence, time that the bus stop per hour = time taken to cover 9 km   =distance/speed=9/54 hour=1/6 hour = 60/6= 
60/6 = 10
10 min   Answer is 10 mins.
Answer: C
The L.C.M. of 2 numbers is 66. The numbers are in the ratio 2:3. Find their sum?
Options.
A) 36	B) 40	C) 48	D) 32	E) 55

Solution: Let the numbers be 2x and 3x   L.C.M. = 6x   6x = 66   x = 11   The numbers are = 22 and 33   Required sum = 22+33= 
22+33 = 55
55   Answer is 55
Answer: E
A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth? Answers: A) Rs.92 B) Rs.70 C) Rs.90 D) Rs.28 E) Rs.20

Solution: SP of 1m of cloth = 8925/85 = Rs. 105   CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth   = Rs. 105 - Rs. 15   = Rs.90.   Answer:Rs.90
Answer: C
For a certain exam,a score of 86 was 5 standard deviations above mean and a score of 67 was 2.5 standard deviations above mean.What was the mean score for the exam?
Pick one.
A) 50  B) 55  C) 48  D) 42  E) 49

Solution: Mean+5SD=86   Mean+2.5SD=67   By solving above equations we get,   SD (absolute value)=7.6   Mean=48   ANS. 48
Answer: C
A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.  Choose the correct choice from the following answers
A) 240	B) 227	C) 267	D) 287	E) 267

Solution: (3*8 + 2*4):(4*8 + 5*4)   8:13   8/21 * 630 = 281   240nswer: 240
Answer: A
A bag consists of 50 marbles, of which 5 are blue, 9 are red, and the remainder are white. If Lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white?
Select the correct option:
A) 3/4	B) 2/4	C) 1/4	D) 1/8	E) 9/10

Solution: bag consists of 50 marbles, of which 5 are blue, 9 are red   remainder are white. So, white = 50 - 5 - 9= 
50 - 5 - 9 = 36
36.   probability that the marble will be red or white= probability that the marble will be red + probability that the marble will be white   probability that the marble will be red or white = 9/50+36/50 = 45/50 = 9/10   Hence, answer will be 9/10.
Answer: E
Car A runs at the speed of 50km/hr & reaches its destination in 6hr. Car B runs at the speed of 100 km/h & reaches its destination in 1h. What is the respective ratio of distances covered by Car A & Car B?	Select.
A) 11 : 5	B) 3 :1	C) 13 : 7	D) 15 : 7	E) 16 : 9

Solution: Sol. Distance travelled by Car A = 50 × 6 = 300 km   Distance travelled by Car 3 :1 = 100 × 1 = 100 km   Ratio = 300/100= 
300/100 = 3
3 :1   Answer : 3 :1
Answer: B
Find the least number of candidates in an examination so that the percentage of successful candidates should be 76.8%:  Choose the correct choice:
A) 95  B) 105  C) 125  D) 135  E) 145

Solution: suppose no. of total candidates are 'y' and successful are 'x'.   (x/y)*(100)=76.8 or x/y=0.768   or y=x/0.768   here we need minimum value of y, which is obtained by minimum value of x.   if put x=768 then y=1000   now we will try decrease value of x than we will find less value of y. so factorized 768 by 2 further.   if put x=384 then y=500   if put x=192 then y=250   if put x=96 then y=125(answer)   if put x=48 then y=62.5(not integer)   so ans is 125   ANSWER:135
Answer: D
The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 600 per sq.metre.
Pick
A) Rs. 15,000  B) Rs. 15,500  C) Rs. 12,375  D) Rs. 16,500  E) None

Solution: Solution   Area of the floor	= (5.5 x 3.75)m²   = 20.635m ²   Cost of paying	= Rs. (600 x 20.625)   = Rs.12,375.   Answer Rs. 12,375
Answer: C
P can do a certain work in 20 days. Q is 60% more efficient than P. How many days does Q alone take to do the same job?
Choose one:  A) 18.5  B) 16.5  C) 12.5  D) 10.5  E) 8.5

Solution: Each day, P can do 1/20 of the work.   Each day, Q can do 1.6/20 of the work = 16/200 of the work   The time taken by B alone to complete the total work is   200/16= 
  200/16 = 25/2 = around 12.5
12.5 days.   The answer is 12.5.
Answer: C
Among the employees of a certain company, 52 percent of the employees are male and 48 percent are female. In this company 70 percent of the male employees are married and 60 percent of the female employees are married. If one employee in the company is randomly selected, approximately what is the probability that he or she is NOT married?	Select the correct option:
A) 0.3  B) 0.4  C) 0.45  D) 0.6  E) 0.7

Solution: Much faster: draw 4 quadrants   ______________Male (52%)_____Female (48%)   Married :__________70%____________50%   Not Married:_______30%____________60%   Therefore: the probability of picking one random person Not Married (he or she) is: 0,52 x 0,30 + 0,50 x 0,60 = 0,15 + 0,3 (approx.)   Solution: approx. 0,45 (answer 0.45)
Answer: C
A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?
Options
A) 7	B) 8	C) 9	D) 6	E) 4

Solution: Explanation:   39 + 20= 
39 + 20 = 59
59/13= 7 (Remainder)   7nswer: 7
Answer: A
How many integers k greater than 100 and less than 700 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99?	Choose the correct choice:  A) 50  B) 60  C) 70  D) 80  E) 90

Solution: Not sure if this is the shortest.. But this is how I did this   There are 5 sets of integers with hundreds and units digits exchanged that satisfies k + 99.   1. 102 | 201 (satisfies k+99, where k = 102)   2. 203 | 302 (satisfies k+99, where k = 203)   3. ...   4. ...   5. 506 | 607   Each set has 10 such numbers.   1. 102 | 201 (still k+99 holds good)   2. 112 | 211   3. 122 | 221   4. 132 | 231   5. ...   6. ...   7. ...   8. ...   9. 182 | 281   10. 192 | 291   Therefore, 5 sets with 10 such number in each set will give 5 x 10 = 50 integers.   50
Answer: A
A man can row 3.9 km/hr in still water. It takes him twice as long to row upstream as to row downstream. What is the rate of the current ? Choose one
A) 1.9
B) 1.7
C) 1.3
D) 1.5
E) 1.1

Solution: Speed of boat in still water (b) = 3.9 km/hr. Speed of boat with stream (Down Stream), D = b + u Speed of boat against stream (Up stream), U = b – u It is given upstream time is twice to that of down stream. ⇒ Downstream speed is twice to that of upstream. So b + u = 2(b – u) ⇒ u =b/3 = 1.3 km/hr.   Answer: 1.3
Answer: C
In the x- y plane, there are 4 points (0,0), (0,4), (5,4), and (5,0). If these 4 points makes a rectangle, what is the probability that x+y<4?  Choose the correct answer
A) 2/3 B) 2/5 C) 3/4 D) 3/7 E) 5/8

Solution: The line y=-x+4 intersects the rectangle and these three points of intersection (0,0), (0,4) and (4,0) form a triangle.   The points below the line y=-x+4 satisfy x+y<4.   The area of this triangle is (1/2)(4)(4)=8   The area of the rectangle is 20.   P(x+y<4) = 8/20 = 2/5   The answer is 2/5.
Answer: B
In the rectangle below, the line MN cuts the rectangle into two regions. Find x the length of segment NB so that the area of the quadrilateral MNBC is 40% of the total area of the rectangle. Select the correct option:  A) 1 meter  B) 2 meter  C) 3 meter  D) 4 meter  E) 5 meter

Solution: Solution   We first note that   MC = 20 - 5= 
20 - 5 = 15
15   The quadrilateral MNBC is a trapezoid and its area 1 meter is given by   1 meter= (1/2) × 10 × (x + MC) = 5 (x + 15)   40% of the area of the rectangle is equal to   40% × (20 × 10) = (40 / 100) × 200 = 80   Since the area of MNBC is equal to 40% the area of the rectangle, we can write   5(x + 15) = 80   5x + 75 = 80   5x 5  + 75= 
5  + 75 = 80
80   5x= 5   x = 1 meter   1 meterNSWER IS 1 meter
Answer: A
The R students in a class agree to contribute equally to buy their teacher a birthday present that costs y dollars. If t of the students later fail to contribute their share, which of the following represents the additional number of dollars that each of the remaining students must contribute in order to pay for the present?
Choose the correct choice from the following options:  A) y/R  B) y/(R-x)  C) xy/(R-x)  D) ty/(R(R-t))  E) y/(R(R-x))

Solution: y/(R-t)- y/R   if we simplify this we get choice ty/(R(R-t)), which is the correct answer.
Answer: D
The ratio of number of boys to that of girls in a school is 3:2.if 20% of boys and 25 % of girls are scholarship holders,find the percentage of those who are not scholarship holders. Pick one:	A) 75	B) 76	C) 77	D) 78	E) 79

Solution: since ratio be 3:2 let there is 100 students so there are 60 boys and 40 girls.so 60/40=3:2.now we find 80% of boys who are not scholarship holder so 80% of 60 is 48.now we find out 75% of girls who are not scholarship holder so 75% of 40 is 30.   so total number who are not scholarship holder is   48+30= 
  48+30 = 78
78   ANSWER:78
Answer: D
Two brands of detergent are to be combined. Detergent X contains 20 percent bleach and 80 percent soap, while Detergent Y contains 45 percent bleach and 55 percent soap. If the combined mixture is to be 35 percent bleach, what percent of the final mixture should be Detergent X?	Choose the correct answer
A) 10% B) 32 1/2 % C) 35% D) 40% E) 60%

Solution: Let we mix x units of detergent X and y units of detergent Y   Bleach Soap Total   40%etergent X 0.20x 0.80x x   40%etergent Y 0.45y 0.55y y   Combined 0.20x+0.45y 0.80x+0.55y x+y   Percentage of bleach in combined mixture = (0.20x+0.45y)/(x+y) = 35/100   20x + 45y = 35x + 35y   10y = 15x   x/y = 2/3   So, percentage of detergent x = x*100/(x+y) = (x/y)*100/ ((x/y)+1)   = (2/3)*100/((2/3)+1)   = 200/5= 
200/5 = 40
40%   So, Answer will be 40%
Answer: D
If a fair coin is flipped eight times in a row, what is the probability that there will be at least one head and one tail?  Choose the correct choice from the following answers
A) 3/4	B) 11/12	C) 31/32	D) 127/128	E) 255/256

Solution: The number of possible outcomes is 2^8 = 256   There is one way to get no heads and one way to get no tails.   Thus there are 254 outcomes with at least one head and one tail.   P(at least one head and one tail) = 254/256 = 127/128   The answer is 127/128.
Answer: D
A trader marks his goods at such a price that he can deduct 15% for cash and yet make 20% profit. Find the marked price of an item which costs him 90 :
Pick
A) 135 11⁄13 B) 105 3⁄21 C) 127 1⁄17 D) 95 1⁄21 E) None of these

Solution: SP = 90 × 1.2 = 108   Marked price = 108⁄0.85 = 127.05   Answer 127 1⁄17
Answer: C
A man has 3 blue shirts, 3 green shirts and 1 red shirt. Everyday of the week we wears a different shirt, how many ways can he choose his shirts to wear them along the week? Consider that he never wears a shirt more than one time a week and he ways wears all his shirts on the week.	Answers:
A) 6!/3!(2)	B) 7!/3!(2)	C) 6!/3!1!	D) 7!/2!(3)	E) 7!/2!(2)

Solution: n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways.   The man has 7 shirts which there are 3 blue shirts, 3 green shirts and 1 red.   Number of arrangements = 7!/3!(2)   Answer: 7!/3!(2)
Answer: B
The average of first 9 prime numbers is?	Choose one:
A) 10.11	B) 11.11	C) 12.11	D) 13.11	E) 14.11

Solution: Sum of 10 prime no. = 100   Average = 100/9 = 11.11   ANSWER:11.11
Answer: B
A dishonest milkman sells a 30 liter mixture of milk and water that contains milk and water in the ratio of 3:2. He takes out 20 liters of the mixture and replaces it with an equal amount of milk. He then takes out 10 liters of this new mixture and replaces it with an equal amount of water to create his final mixture. What is the ratio of milk and water in the final mixture?  Choices:
A) 2:5
B) 3:5
C) 2:3
D) 3:2
E) 5:3

Solution: D   ............................... Milk ............... Water ....................... Total   Initial ...................... 24 .................... 16 .............................. 40   20 Lts mix. taken out 24-12 ............... 16-8 ........................... 40-20   20 Lts milk added..... 12+20 ................ 8 .............................. 40   10 Lts mix. taken out 32-8............... 8-2 ........................... 40-10   10 Lts water added..... 24 ................ 16 .............................. 40   New ratio = 24: 16= 3:2   3:2
Answer: D
Two cars cover the same distance at the speed of 40 and 44 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car? Choose one:
A) 278	B) 277	C) 960	D) 278	E) 600

Solution: 40(x + 1) = 44x   X = 10   60 * 10= 
60 * 10 = 600
600 km   Answer:600
Answer: E
Ram's shop runs a sale on goldfish and platys. If one customer buys 13 goldfish and 12 platys for $5.60, and another buys 14 goldfish and 21 platys for $8.05, what is the ratio of the price of goldfish to platys?
Choose the correct choice from the following.
A) 0.8	B) 0.75	C) c) 8/9	D) 5/7	E) 6/8

Solution: The approach of plugging in the numbers is a fine approach. But, in this case, the answer was the first option and thus, by plugging in a number in the ration given, we arrived at the answer quickly!   However, what if the correct ratio was option D or C?   In any case, the algebraic solution isn't that complex if you realize a key concept:   The number 7 can be factored out of the second equation!   Here's the working:Ram's shop runs a sale on goldfish and platys.   13x + 12y = 5.60 <<<<< Equation 1   14x + 21y = 8.05 <<<<< Equation 2   2x + 3y = 1.15 [Factor Out 7 from equation 2] <<<<< Equation 3   8x + 12y = 4.6 [Multiply Equation 3 with 4]   5x = 1.0 [Equation 1 - Equation 2]   x = 0.2   3y = 1.15 - 0.4= 
1.15 - 0.4 = 0.75
0.75 [Substitute for x in Equation 1]   y= 0.25   x/y = 0.2/0.25 = 20/25 = 4/5= 
4/5 = 4/5 = around 0.8
0.8 [Answer A]   The whole thing must have taken me about 45 s :5/7
Answer: D
a, b, c, d, and e are five consecutive numbers in increasing order of size. Deleting one of the five
numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of
the following numbers R was deleted? Choose the correct choice from the following answers.
A) a
B) b
C) c
D) d
E) e

Solution: a+b+c+d+e => 1+2+3+4+5= 
1+2+3+4+5 = 15
15   20%*15= 3 =>c
Answer: C
Two trains start from A & B and travel towards each other at
speed of 100kmph and 120kmph resp. At the time of the meeting the
second train has traveled 10km more than the first.the distance
between them.
Choices
A) 30 km
B) 50 km
C) 70 km
D) 90 km
E) 110 km

Solution: Let the distance traveled by the first train be x km   then distance covered by the second train is x + 10km   x/100 = x+10 / 120   x= 50   so the distance between A & B is x + x + 10 = 110 km   Answer is 110 km.
Answer: E
A train travels from station A to station B. If it travels at a speed of 100 miles per hour, it ends up reaching the station 30 minutes late. If it travels at 120 miles per hour, it reaches the station 30 minutes early. What is the amount of time that the train is scheduled to take for the journey and what is the distance between the stations?	Choose the correct answer.
A) 2 hours, 225 miles B) 5.5 hours, 600 miles C) 4 hours, 450 miles D) 5 hours, 550 miles E) 6 hours, 650 miles

Solution: Let t be the usual time and x be the distance between AB. So we need to find t and Distance x. The question gives us 2 combinations of speedtime, but the distance remains the same for both condition.   Equation 1 - x= 100 (t+.5) (converted 30 mins into hr) added .5 hrs because it is late or took more time than usual.   Equation 2 - x= 120 (t-.5) subtracted .25 hrs because it is early or took less time than usual.   Now equating 12 we get 100(t+.5)=120(t-.5)   => 10t +5 = 12t - 6   => 2t=11 => t= 5.5 hrs.   Hence x= 100(5.5+.5) =>100 X 6 => 600 miles.   Hence correct answer 5.5 hours, 600 miles
Answer: B
Sandy can do a job in 12 days and Molly can do the same job in 24 days. If they work together, in how many days will they complete the job?	Select the correct option.
A) 6 B) 7 C) 8 D) 9 E) 10

Solution: Sandy can do 1/12 of the job each day.   Molly can do 1/24 of the job each day.   The combined rate is 1/12 + 1/24 = 1/8 of the job each day.   The job will take 8 days.   The answer is 8.
Answer: C
How many positive integers R less than 20 are either a multiple of 2, an odd multiple of 9, or the sum of a positive multiple of 2 and a positive multiple of 9 ?
Choose the correct option:  A) 19  B) 18  C) 17  D) 16  E) 15

Solution: We're asked to deal with the positive integers LESS than 20. There are only 19 numbers in that group (1 to 19, inclusive). We're asked to find all of the numbers that fit one (or more) of the given descriptions. Looking at the answer choices, we have every value form 15 to 19, inclusive, so most (if not all) of the numbers from 1 to 19 fit one (or more) of the descriptions. How long would it take you to find the ones that DON'T fit.....?   The first several should be pretty easy to find - the prompt wants us to focus on multiples of 2 and 9 (and sums of those multiples). So what ODD numbers are less than 9?   1, 3, 5, 7   None of these values fit the given descriptions. That's 4 out of 19 that we know for sure do NOT fit. 19 - 4 = 15 = 15
Answer: E
Mark bought a set of 6 flower pots of different sizes at a total cost of $7.80. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot?	Choose the correct choice from the following choices:
A) $1.75
B) $1.93
C) $2.00
D) $2.15
E) $2.30

Solution: This question can be solved with a handful of different Algebra approaches (as has been shown in the various posts). Since the question asks for the price of the largest pot, and the answers are prices, we can TEST THE ANSWERS.   We're told that there are 6 pots and that each pot costs 25 cents MORE than the next. The total price of the pots is $8.25. We're asked for the price of the largest (most expensive) pot.   Since the total price is $7.80(a 25-cent increment) and the the difference in sequential prices of the pots is 25 cents, the largest pot PROBABLY has a price that is a 25-cent increment. From the answer choices, I would then TEST Answer C first (since answers B and D are NOT in 25-cent increments).   IF....   The largest pot = $1.75   The other 5 pots are....   1.75   1.50   1.25   1.00   0.75   Total = $7.80   So this MUST be the answer.   $1.93
Answer: B
A box contains 11 apples, 10 of which are red. An apple is drawn from the box and its color is noted before it is eaten. This is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. What is the smallest possible value of n? Pick:
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: P(choosing a red apple 6 times in a row) = 10/11*9/10*8/9*7/8*6/7*5/6 = 5/11 < 0.5   The answer is 6.
Answer: D
1 ltr of water is added with 3 ltr of a solution containing 33%of alcohol in the water. The %of alcohol in the new mixture is?
Select.
A) 22% B) 23% C) 24.5% D) 24.75% E) 30%

Solution: We have a 3 litre solution containing 33% of alcohol in the water.   => Quantity of alcohol in the solution   =3Ã—33/ 100   Now 1 litre of water is added to the solution.   => Total quantity of the new solution = 3 + 1= 
3 + 1 = 4
4   Percentage of alcohol in the new solution=3Ã—33/100   4   Ã—   100   =3Ã—331004Ã—100   =3Ã—8.25/100   =24.75%   24.75%
Answer: D
Find out the ratio of milk to that of water ,if a mixture is formed after mixing milk and water of 3 different vessels containning the mixture of milk to that of water in the proportion 3:2, 7:3, 9:2 respectively.
Pick one:
A) 233:97	B) 235:98	C) 236:97	D) 265:98	E) 234:97

Solution: 3+2= 
3+2 = 5
5,7+3=10,9+2=11   now,   3/5+7/10+9/11 : 2/5+3/10+2/11   =>233/110 : 97/110   => 233 : 97   233:97NSWER:233:97
Answer: A
Which of the following is a parallelogram? Choose the correct choice from the following:
A) 110,70,110,70(angle in deg)
B) 120,30,130,20(angle in deg)
C) 90,90,95,95(angle in deg)
D) a & c
E) none

Solution: sum of adjacent angles is 180 degrees.   110,70,110,70(angle in deg)NSWER:110,70,110,70(angle in deg)
Answer: A
If n divided by 7 has a remainder of 2, what is the remainder when 4 times n is divided by 7? Choose the correct option: A) 1 B) 2 C) 3 D) 5 E) 8

Solution: 1s per question => N=7P+2 for some integer p   hence 4N => 28Q + 8 => remainder => 6 for some integer Q   1lternatively => N=2 > 3N=> 8 => 8 divided by 7 will leave a remainder 1   hence 1
Answer: A
A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:2. The ratio of economy cars to sport utility vehicles is 4:1. What is the ratio of luxury cars to sport utility vehicles?
Choose the correct choice from the following choices:	A) 9:8	B) 8:3	C) 3:2	D) 2:3	E) 1:2

Solution: The ratio of economy to luxury cars is 3:2 --> E:L = 3:2 = 12:8.   The ratio of economy cars to sport utility vehicles is 4:1 --> E:S = 4:1 = 12:3.   Thus, L:S = 8:3.   Answer: 8:3.
Answer: B
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 38, the dividend is: Choose the most appropriate option: A) 3648 B) 3642 C) 3636 D) 3644 E) 3864

Solution: Divisor = (5 * 38)= 
(5 * 38) = 190
190= 10 * Quotient = Divisor   => Quotient = 190/10= 
190/10 = 19
19   Dividend= (Divisor * Quotient) + Remainder   Dividend = (190 * 19) + 38= 
(190 * 19) + 38 = 3_648
3648.   3648
Answer: A
What is the simplified result of following the steps below in order?
(1)	add 5y to 2q
(2)	multiply the sum by 3
(3)	subtract q + y from the product  Pick:	A) 5q + 14y	B) 5x + 16y	C) 5x + 5y	D) 6x + 4y	E) 3x + 12y

Solution: 3(5Y+2Q) -Q-Y= 14Y+5Q   '5q + 14y' is the answer
Answer: A
In how many ways can 5 apples (identical) be distributed among 3 children? (Some children may get no apples.) Choose the correct answer:
A) 14
B) 18
C) 21
D) 24
E) 27

Solution: Generalised form for n = number of identical objects, and r = number of children is n+r-1Cr-1.   n=5 r= 3   7212 =21   Answer : 21
Answer: C
Find the average of all prime numbers between 30 and 50?	Choose the correct choice from the following choices:	A) 18.9	B) 19.8	C) 39.8	D) 29.8	E) 20.8

Solution: there are five prime numbers between 30 and 50.   They are 31,37,41,43 and 47.   Therefore the required average=(31+37+41+43+47)/5 199/5  39.8   ANSWER 39.8 39.8
Answer: C
Which of the following is the product of two integers whose sum is 18?  Select:
A) -42 B) -28 C) 12 D) 26 E) 32

Solution: I solved this Question like this,   Let the two integers are x,y   x+y=18 (Given)   xy=? (Needed)   instead of solving this algebraically, Test the Answer choices   E. 32   Do the factorization : (1,32)----> There sum is not 18--eliminate   (2,16)---->There sum is 18 Bingo!!!!   So, my answer is E...   As the answer is in E, it took me very less time to answer the question. but i think this method is be simple and efficient.
Answer: E
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?  Choose the correct answer:
A) 33	B) 277	C) 40	D) 88	E) 11

Solution: The total CP = Rs. 16000 + Rs. 6250 = Rs. 22250 and SP = Rs. 31150   Profit(%) = (31150 - 22250)/22250 * 100= 
(31150 - 22250)/22250 * 100 = 40
40%   Answer: 40
Answer: C