MU-NLPC/Calc-aqua_rat huggingface dataset:
When positive integer m is divided by positive integer x, the reminder is 7 and when positive integer n is divided by positive integer y, the reminder is 11. Which of the following E is a possible value for x + y?
I. 18
II. 19
III. 20  Choose the correct choice from the following answers.
A) I only B) II only C) E=III only D) II and III only E) None

Solution: TIP FOR SUCH QUESTIONS:Make Algebraic Equation in the beginning to understand how to proceed further. Then Start thinking the possible values of variables asked about   i.e.When positive integer m is divided by positive integer x, the reminder is 7can be understood as   m = ax +7which means thevalue of x must be greater than 7as the remainder 7 is possible only when the Divisor is bigger than the Remainder 7   i.e. Min Value of x = 8   AND   i.e.When positive integer n is divided by positive integer y, the reminder is 11can be understood as   n = by +11which means thevalue of y must be greater than 11as the remainder 11 is possible only when the Divisor is bigger than the Remainder 11   i.e. Min Value of y = 12   i.e. Minimum Value of x+y = 8+12= 
8+12 = 20
20   Hence III only can be True   Answer: Option   E=III only
Answer: C
96% of the population of a village is 23040. The total population of the village is?
Pick:  A) 29992  B) 24000  C) 26892  D) 29991  E) 29878

Solution: X * (96/100) = 23040   X = 240 * 100= 
240 * 100 = 24_000
24000   Answer: 24000
Answer: B
The average age of 15 students of a class is 16 years. Out of these, the average age of 5 students is 14 years and that of the other 10 students is 16 years. Tee age of the 15th student is?
Choose the correct choice from the following options
A) 18years  B) 16years  C) 14years  D) 12years  E) 10years

Solution: Age of the 15th student   =[15 * 16 - (14 * 5 + 16 * 10)]   = (240 - 230)= 
(240 - 230) = 10
10 years.   Answer:10years
Answer: E
The length of a train and that of a platform are equal. If with a speed of 108 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Select the correct option
A) 752  B) 799  C) 719  D) 750  E) 900

Solution: Speed = [108 * 5/18] m/sec = 30 m/sec; Time = 1 min. = 60 sec.   Let the length of the train and that of the platform be x meters.   Then, 2x/60 = 30 Ã¨ x = 30 * 60 / 2= 
30 * 60 / 2 = 900
900   Answer: 900
Answer: E
We made a down payment of $100 and borrowed the balance on a new piano which cost $1000. The balance with interest was paid in 23 monthly payments of $40 each and a final payment of $70. The amount of interest paid was what percent of the amount borrowed?  Select the correct option
A) 6% B) 7% C) 8% D) 9% E) 10%

Solution: We borrowed $900.   To pay back this loan, we paid 23*$40 + $70=$990.   The interest was $990-$90023* 40 +  70= 
23* 40 +  70 = 990
$990.   The interest was $990-$900=$90.   The percentage was $90/$900990- 900= 
990- 900 = 90
$90.   The percentage was $90/$900=0.1  90/ 900= 
  90/ 900 = 1/10 = around 0.1
0.1=10%.   The answer is 10%.
Answer: E
A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?	Choose the correct choice from the following options.
A) 100 m  B) 200 m  C) 600 m  D) 800 m  E) 400 m

Solution: Explanation:   Relative speed of the thief and policeman = (11 â€“ 10) km/hr = 1 km/hr   Distance covered in 6 minutes = {\color{Blue} \left ( \frac{1}{60}\times 6 \right )} km = {\color{Blue} \frac{1}{10}} km = 100 m   {\color{Blue} \therefore } Distance between the thief and policeman = (200 â€“ 100) m = 100 m.   100 mnswer: 100 m
Answer: A
P is a prime number. If 6p is between 15 and 95, which of the following W can be a value of 7p + 2?
Choose the correct answer.
A) W=15	B) W=79	C) 121	D) 65	E) 21

Solution: [3,5,7,11,13] are prime numbers that fits this equation 15< 6X <95. Afterwards subtract 2 from all the answer n see if it's divisible by 7. Therefore A and E are out. Leaves out with B C D.   B =11   C =17   D = 9   Only 11 is the set of prime numbers that fit between 15 and 95. Therefore 79 is the answer.W=79
Answer: B
David has s pairs of shoes, which is 1/4 as many as Mary and twice as many as Jones. In terms of s, how many pairs of shoes do the three of them have combined?  Options
A) 9/2*s	B) 7/2*s	C) 3s	D) 11/2*s	E) 5/2*s

Solution: == s +4s + s/2 ==> 5s + 1/2 s = 11/2*s   Ans .11/2*s
Answer: D
If Finn was 15 months old one year ago, how old was he, in months, x months ago?  Options:	A) x − 30	B) x − 12	C) 18 − x	D) 27 − x	E) 30 − x

Solution: Age Today = 15 months + 12 months (1year) = 27 months   X months ago- Today's Age - X = 27 - X   Ans- 27 − x
Answer: D
A, B and C can do a work in 6 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?	Select
A) 6 2/3 days.
B) 2 2/3 days.
C) 7 2/3 days.
D) 1 2/3 days.
E) 5 2/3 days.

Solution: B   2 2/3 days.   Work done by all three of them in one day = 1/6 + 1/8 + 1/12 = 3/8.   The number of days required = 8/3 = 2 2/3 days.
Answer: B
(A% of 4B + B% of A) is equal to ? Pick.
A) A% of B
B) B% of A
C) 5% of AB
D) AB% of 3
E) None

Solution: Answer   A% of 4B + B% of A =4AB/100 + AB/100   = 5AB/100 = 5% of AB   5% of ABorrect Option: 5% of AB
Answer: C
Pipes A and B can fill a tank in 4 and 7 hours. Pipe C can empty it in 12 hours. If all pipes are opened together, then the tank will be filled in?  Answers:
A) 60/17 hr
B) 13/12 hr
C) 42/13 hr
D) 13/42hr
E) 14/11 hr

Solution: Net part filled in 1 hour = 1/4 + 1/7 - 1/12 = 13/42   The tank will be full in 42/13 hr   Answer is 42/13 hr
Answer: C
After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article? Select the correct option: A) 1400 B) 1300 C) 1200 D) 1100 E) None of these

Solution: Explanation:   1200P* (76/100) = 912   1200P1200 * (76/100)= 
1200 * (76/100) = 912
912   1200P= 12 * 100= 
12 * 100 = 1_200
> 1200P= 1200   Answer is 1200
Answer: C
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?  Choose the correct answer
A) 187	B) 190	C) 177	D) 188	E) 112

Solution: L = S*T   S= 1200/120= 
1200/120 = 10
10 m/Sec.   Total length (D)= 1900 m   T = D/S   T = 1900/10= 
1900/10 = 190
190 Sec   Answer: 190
Answer: B
Elena’s bread recipe calls for 5 ounces of butter for each 7 cups of flour used. She needs to make 4 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?
Choose the correct answer: A) 1 B) 4 C) 9 D) 13 E) 28

Solution: Solving through algebra route:   5B + 7F = x amount   If we multiply this equation with 4 we get:   20B + 28F =4X   Therefore, we got 20 ounces of butter and 4X amount of quantity when we use 28 ounces of floor.   Ans:28
Answer: E
The price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980. If its price of $1.20 in 1970 was 150 percent of its price in 1960, what was its price in 1980?  Choices:
A) $ 1.80	B) $ 2.00	C) $ 2.40	D) $ 2.70	E) $ 3.00

Solution: The price in 1970 was 150 percent of its price in 1960, means that the percent increase was 50% from 1960 to 1970 (and from 1970 to 1980).   Therefore the price in 1980 = $1.2*1.5 = $1.8.   $ 1.80nswer: $ 1.80.
Answer: A
Solve for x and check: x + 5 = 3  Choose the most appropriate option: A) 2 B) 3 C) 1 D) -2 E) 4

Solution: Solution :   x+5-5=3-5   x=-2   Check :   x+5=3   -2+5= 
-2+5 = 3
3   3=3   ANSWER : -2
Answer: D
A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Pick one
A) 32 km B) 25 km C) 28 km D) 24 km E) 20 km

Solution: Let the distance between A and B be x km.   Total time = x/(9 + 1) + x/(9 - 1) = 4.5   => x/10 + x/8 = 9/2 => (4x + 5x)/40 = 9/2 => x = 20 km.   ANSW20 kmR:20 km
Answer: E
A number has exactly 32 factors out of which 4 are not composite. Product of these 4 factors (which are not composite) is 30. How many such numbers G are possible? Choose the correct choice from the following answers: A) 2 B) 4 C) 6 D) 3 E) Not possible

Solution: Firstly , we should note that 1 is NEITHER a prime nor a composite number.The first composite number is 4.Thus, when the problem states that there are 4 factors that are not composite, these nos are 1,2,3,5. Thus, the given number = 2^a*3^b*5^c. Also, (a+1)*(b+1)*(c+1) = 32. We can break down 32 into 3 integers as : 2*2*8 or 4*4*2   Also, the only possible combinations for a,b,c are : 3,3,1 OR 1,1,7. Thus, each combination has 3 possible orders and we have a total G of 6 possibilities.   6.
Answer: C
19 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played? Answers.
A) 286	B) 342	C) 422	D) 540	E) 618

Solution: 2*19C2 = 2*171= 
2*171 = 342
342   The answer is 342.
Answer: B
The sector of a circle has radius of 21 cm and central angle 130o. Find its perimeter?	Choose the most appropriate option:
A) 89.7
B) 91.4
C) 91.7
D) 91.3
E) 91.1

Solution: Perimeter of the sector = length of the arc + 2(radius)   = (130/360 * 2 * 22/7 * 21) + 2(21)   = 47.7 + 42= 
47.7 + 42 = 89.7
89.7 cm   89.7nswer:89.7
Answer: A
Twenty one identical machines, running continuously at the same constant rate, take 9 days to complete a shipment. How many additional machines, each running at the same constant rate, would be needed to reduce the time required to complete a shipment by two days? Choose the correct choice
A) 2 B) 3 C) 4 D) 6 E) 9

Solution: From the question you know that 21R = 1/9. The question asks you (partially) to make the rate from 1/9 to 1/7 (drop from 9 day to 7). So the only thing that you need to do is to find the magic number than can convert 1/9 to 1/7.   So 1/9 * x = 1/7 (1 equation with one unknown). So by solving this you get x = 9/7 . Thats it then! Take the magic number 9/7 and multiply BOTH sides of the original equation and you have:   21*(9/7)*R = (9/7) * 1/9   27* R = 1/7, Hence 27R = 1/7, therefore 6 more machines!   6
Answer: D
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work? Options
A) 7
B) 8
C) 9
D) 10
E) 11

Solution: 1 woman's 1 day's work =	1   70   1 child's 1 day's work =	1   140   (5 women + 10 children)'s day's work = 5	+	10 = 1	+	1 =	1   70	140	14	14	7   5 women and 10 children will complete the work in 7 days.   Option 7
Answer: A
A man borrows Rs. 1200.00 from a bank for a period of 3 months. He finds that he has to repay Rs.1236.00. The bank rate of interest is:	Choose the correct answer:
A) 3%	B) 12%	C) 6%	D) 22%	E) 14%

Solution: amount returnd s 1236 , so interst Rs.36, borrowd 1200, n=3/12, so 36=(1200*3*r)/12*100, thus r=12%   ANSWER:12%
Answer: B
In a camp, there is a meal for 90 men or 160 children. If 110 children have taken the meal, how many men will be catered to with remaining meal?	Choose the most appropriate option:
A) 20  B) 30  C) 50  D) 28  E) 40

Solution: There is a meal for 160 children. 110 children have taken the meal.   Remaining meal is to be catered to 50 children.   Now, 160 children 90 men.   50 children (90/160)	* 50 = 28 men   Answer is 28.
Answer: D
Three printing presses, E, S, and T, working together at their respective constant rates, can do a certain printing job in 4 hours. S and T, working together at their respective constant rates, can do the same job in 5 hours. How many hours would it take E, working alone at its constant rate, to do the same job?
Select
A) 8
B) 10
C) 12
D) 15
E) 20

Solution: =1/4-1/5=1/20   20 can do 1/20 job in 1 hour   20 can do the whole job in 20 hours=20
Answer: E
If y > 0, (2y)/10 + (3y)/10 is what percent of y?
Choose the correct option:  A) 40%  B) 50%  C) 60%  D) 70%  E) 80%

Solution: can be reduced to y/5+3y/10 =2y/5=50%   50%
Answer: B
Jill works as a waitress at the local diner where she earns an hourly wage of $7.00 per hour and a standard tip rate of 5% of the cost of the orders she serves. If she worked four 12-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?
Choose the correct option:
A) 280  B) 300  C) 320  D) 432  E) 400

Solution: Jill earns 7 dollars/hour and the hourly tip is (1/20)*40.   Jill thus earns 7*12+12*2 per day(or 7(12)+2(12)=9(12)=108).   Jill has worked for 4 days -> 108*4=432.   This matches answer choice 432.
Answer: D
Ramesh, Kiran and Ram started a business with capitals of Rs. 2000, Rs. 8000 and Rs. 6000 respectively. At the end of the year, the profit share of Kiran is Rs. 400. The difference between the profit shares of Ramesh and Ram is? Answers: A) 694 B) 369 C) 200 D) 2356 E) 1547

Solution: Ratio of investments of Ramesh, Kiran and Ram is 2000 : 8000 : 6000 = 1 : 4 : 3   And also given that, profit share of Kiran is Rs. 400   => 4 parts out of 8 parts is Rs. 400   Now, required difference is 3 - 1= 
3 - 1 = 2
2 parts   Required difference= 2/4 (400) = Rs. 200.Answer: 200
Answer: C
Right now, Al and Eliot have bank accounts, and Al has more money than Eliot. The difference between their two accounts is 1/12 of the sum of their two accounts. If Al’s account were to increase by 10% and Eliot’s account were to increase by 20%, then Al would have exactly $20 more than Eliot in his account. How much money does Eliot have in his account right now?	Choose the correct choice from the following answers.
A) $110 B) $120 C) $180 D) $200 E) $260

Solution: Lets assume Al have amount A in his bank account and Eliot's bank account got E amount. We can form an equation from the first condition.   A-E = 1/12*(A+E) ==> 11A = 13E ------------ (1)   Second condition gives two different amounts, Al's amount = 1.1A and Eliot's amount = 1.2E   1.1A = 20 + 1.2E ==> 11A =200 +12E -------(2)   Substituting (1) in (2):   13E = 200+12E ==>E = 200   $200
Answer: D
Carol is Five times Alice’s age but only twice as old as Betty. Alice is twelve years younger than Carol. How old is Betty?	Choose the correct choice from the following answers.
A) 6
B) 9
C) 12
D) 18
E) 24

Solution: given that C=5A=2B..AND A=C-12=5A-12-->4A=12-->A=3   substituting the values A=3,C=15 AND B=6..   ans 6=6..
Answer: A
In a certain random experiment, exactly one of the outcomes A, B, and J will occur. In each random experiment, the probability that outcome A will occur is 1/3 , and the probability that outcome B will occur is 1/3. What is the probability that when the random experiment is conducted 6 independent times, each of outcomes A, B, and J will occur twice?	Choose the correct choice from the following options
A) 5/243  B) 1/12  C) 10/81  D) 1/6  E) 16/81

Solution: Number of ways in which a group of 2A,2B,2J can be formed in any order = 6!/(2!*2!*2!) [ formula for total of 6 items with 2 each of similar kind)   Total number of ways in which the die can be thrown independently = _ _ _ _ _ _ ; there are 6 places .First can be filled in 3 different ways A/B/J; Second in 3 diff ways again and so on.   So total number of ways = 3X3X3X3X3X3 = 3^6   There fore probability = 6!/(2!x2!x2!) by 3^6 = 90/3^6 = 10/81 Answer 10/81
Answer: C
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 4000. With the help of C, they completed the work in 3 days. How much is to be paid to C?	Choose the correct choice:  A) s. 375  B) s. 400  C) s. 500  D) s. 800  E) s. 850

Solution: s. 500's 1 day's work = 1/3 - (1/6 + 1/8) = 1/3 - 7/24 = 1/24   A's wages : B's wages : s. 500's wages = 1/6 : 1/8 : 1/24 = 4: 3 : 1   s. 500's share (for 3 days) = Rs.	(3 * 1/24 * 4000) =Rs.500   Answer = s. 500
Answer: C
The smallest value of n, for which n+1 is not a prime number, is
Pick one
A) 5
B) 6
C) 8
D) 3
E) 10

Solution: (1 + 1)= 
(1 + 1) = 2
2.   (2 + 1)= 
(2 + 1) = 3
3.   (3 + 1)= 
(3 + 1) = 4
4.   (4 + 1)= 
(4 + 1) = 5
5.   which is not prime , n=3.   ANSWER:3
Answer: D
Two trains leave a station traveling in the same direction. Train A leaves at 2:00 PM traveling at a constant speed of 40 mph, while train B leaves at 3:00 PM traveling at a constant speed of 60 mph. At what time will train B overtake train A if neither train deviates from its constant speed?	Options
A) 80 B) 90 C) 100 D) 110 E) 120

Solution: We can use D=RT [distance=rate*time]   when train B overtakes train A, train A will have traveled for 1 hour longer than train B so   time of train B: T   time of train A: T+1 hour   rate of train B: 60 mph   rate of train A: 40 mph   when B overtakes A, they will have traveled the same distance D=RT, so set the RT for each trains equal to each other   40*(T+1) = 60*T   40T+40 = 60T   40 = 20T   2 = T   2 hours = 120 minutes   120
Answer: E
The value of a machine depreiates at the rate of 10% per annum. If its present is Rs.1,62,000 what will be its worth after 2 years ? What was the value of the machine 2 years ago ? Choose the correct choice from the following:  A) Rs.200000  B) Rs.100000  C) Rs.500000  D) Rs.300000  E) Rs.800000

Solution: Value of the machine after 2 years   =Rs.[162000*(1-(10/100))^2] = Rs.[162000*(9/10)*(9/10)]   =Rs. 131220   Value of the machine 2 years ago   = Rs.[162000/(1-(10/100)^2)]=Rs.[162000*(10/9)*(10/9)]=Rs.200000   Rs.200000nswer is Rs.200000.
Answer: A
a man prpare the technical document it takes 2 hours for half an hour presentation and technical preparation. its screening takes 30 more minuts to prepare with the other guy.for to present a 7 half an hours how much time it will take  Choose the most appropriate option:
A) 37 hours  B) 35 hours  C) 37 1/2 hours  D) 33 hours  E) 34 hours

Solution: here first 2 hours to prepare a technical document and half-an-hour to screen it ..so total 2 1/2 hour work is need to 1/2 hour presentation....   For 7 1/2 hours presentation...   1/2 hour presentation-------------->>2 1/2 hour work done   7 1/2 hr presentation --------------> x hours work done   just do cross multiplication u will get x value i.e. required amount of time   since 7 1/2 hours contains 15 half-an-hours ...15* 2 1/2===== 30+7.5===total 37 1/2 hours   ANSWER:37 1/2 hours
Answer: C
A certain team has 8 members, including Joey. A three-member relay team will be selected as follows: one of the 8 members is to be chosen at random to run first, one of the remaining 7 members is to be chosen at random to run second, and one of the remaining 6 members is to be chosen at random to run third. What is the probability that Joey will be chosen to run second or third?  Choose the correct choice from the following options:
A) 2/3 B) 1/4 C) 2/5 D) 3/8 E) 3/10

Solution: Each member has an equal probability to run second (1/8) or third (1/8).   The probability that Joey runs second or third is 1/8 + 1/8 = 1/4   The answer is 1/4.
Answer: B
There exists exactly one positive value of k such that the line y = kx intersects the parabola
y = x2 + x + 4 at exactly one point. Compute the intersection point.	Answers
A) (2,10)  B) (5,10)  C) (7,10)  D) (3,10)  E) (1,10)

Solution: If the line is tangent, then we must have that x2 + x + 4 = kx has a unique solution   in x, or x2 + (1 - k)x + 4 = 0 has a unique solution. Thus, (1 - k)2- 16 = 0, or (1- k) = 4.   Therefore, k = -3 or k = 5.   Taking k = 5, we have that y = 5x intersects y = x2 + x + 4 when x = 2, and the intersection   point is (2, 10) .   correct answer (2,10)
Answer: A
Three friends sakthi, samy and Charlie divide $1010 amongs them in such a way that if $6, $8 and $10 are removed from the sums that sakthi, samy and Charlie received respectively, then the share of the sums that they got will be in the ratio of 4 : 8 : 6. How much did Charlie receive?
Choose the correct option:  A) $316  B) $326  C) $331  D) $336  E) $334

Solution: Explanatory Answer   Let the sums of money received by A, B and C be x, y and z respectively.   Then x - 6 : y - 8 : z -10 is 4a : 8a : 6a   When $6, $8 and $10 are removed, we are removing a total of $24 from $1010.   Therefore, 4a + 8a + 6a = 1010 - 24= 
1010 - 24 = 986
986   i.e., 18a= 986   or a =55 .   We know that z - 6 = 6a =6 * 55= 
6 * 55 = 330
330   Therefore, z= 330 + 6= 
330 + 6 = 336
$336   The correct choice is ($336)
Answer: D
How many positive even integers less than 100 contain digits 5 or 9?	Choose the correct choice from the following:
A) 16
B) 10
C) 18
D) 19
E) 20

Solution: Two digit numbers:   5 at tens place: 50,52,54,56,58   9 at tens place: 90,92,94,96,98   If 5 and 9 is at units place, the number cant be even   Total:5+5= 
5+5 = 10
10   Answer 10
Answer: B
A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 9%. What was its profit on the items sold in February?	Choices:  A) 27.5%  B) 30%  C) 35%  D) 36.5%  E) 40%

Solution: Assume the total price = 100x   Price after 20% markup = 120x   Price after 25%further markup = 1.25*120= 
1.25*120 = 150
150x   Price after the discount= 0.91*150= 
0.91*150 = 136.5
136.5x   Hence total profit= 36.5%   Option 36.5%
Answer: D
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.20 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?  Answers
A) 160  B) 185  C) 190  D) 200  E) 210

Solution: Suppose the man works overtime for x hours.   Now, working hours in 4 weeks = (5 x 8 x 4) = 160.   160 x 2.20 + X x 3.20 = 432   X = 25.   Hence, total hours of work = (160 + 25)= 
(160 + 25) = 185
185.   answer :185
Answer: B
The sector of a circle has perimeter of 144 cm and central angle 180o. Find its radius?
Choose the correct choice from the following answers.
A) 25 cm  B) 32 cm  C) 14 cm  D) 28 cm  E) 21 cm

Solution: Let the radius is x cm   Perimeter of the sector = length of the arc + 2(radius)   144= (180/360 * 2 * 22/7 * x) + 2(x)   144= 22x/7 + 2x   144= 36x/7   36x= 1008   x = 28   Answer: 28 cm
Answer: D
6 workers should finish a job in 8 days. After 3 days came 4 workers join them. How many days C do they need to finish the same job?
Choose one:
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: Let Rate of one worker be R   => (6*R)*8 = 1 (Rate * Time = work)   => R = 1/48   => Work remaining after 3 days   1 - (3*6)/48 = 30/48   3fter 4 ppl joined in   ((6+4)*Time)/48 = 30/48   Time C= 3 days to finish the task   IMO 3
Answer: A
A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?  Select.
A) 2 3/2 B) 2 2/3 C) 2.5 D) 3 E) 1

Solution: 100*(20/100)= 
100*(20/100) = 20
20 --- 10   ? --- 1=> Rs.2   100 --- 80   ? --- 2 => Rs.2.5   ANSWER:2.5
Answer: C
If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Choose the correct choice:
A) 125 m
B) 104 m
C) 140 m
D) 152 m
E) 150 m

Solution: D = 90 * 5/18 * 5= 
90 * 5/18 * 5 = 125
125 m   125 mNSWER 125 m
Answer: A
Out of 9 persons, 8 persons spent Rs. 30 each for their meals. The ninth one spent Rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was Options.
A) Rs. 292.50 B) Rs. 297.50 C) Rs. 298 D) Rs. 298.50 E) None of these

Solution: Explanation:   Let the average expenditure be Rs. x Then,   9x = [8× 30 + (x + 20)] ⇔9x = x + 260 ⇔ x = 32.50   Total money spent = 9x = Rs. (9 x 32.5O) = Rs 292. 50 Rs. 292.50nswer: Rs. 292.50
Answer: A
Find the average of first 3 multiples of 5?
Select the correct option.
A) 10
B) 15
C) 12.5
D) 13
E) 21

Solution: average = (5+10+15)/3= 
(5+10+15)/3 = 10
10   10nswer is 10
Answer: A
The amounts of time that three secretaries worked on a special project are in the ratio of 2 to 3 to 5. If they worked a combined total of 110 hours, how many hours did the secretary who worked the longest spend on the project?  Answers
A) 80
B) 55
C) 56
D) 16
E) 14

Solution: 10x = 110   => x = 11   Therefore the secretary who worked the longest spent 11 x 5 = 55 hours on the project   Option (55)
Answer: B