MU-NLPC/Calc-aqua_rat huggingface dataset:
How many different ways can you select a pilot and a co pilot if you have 80 people to choose from?
Answers.
A) 199  B) 200  C) 398  D) 4950  E) 6320

Solution: 1) PERMUTATION:-   since it is selection, we have to find permutation..   80P2= 80!/(80-2)!=6320   ANS:6320
Answer: E
Prints a page 64 pg per min .If the printed for 3 hours except 10 min.Where there was an paper jam,how many page did it print  Options:
A) 11,700 B) 2860 C) 11,684 D) 12,140 E) 10,880

Solution: 3 hrs =180 min   10 min delay so   180-10= 
  180-10 = 170
170 min=170*64= 
170*64 = 10_880
10880 pages   ANSW10,880R:10,880
Answer: E
(17)3.5 x (17)? = 178 Choices:
A) 2.29	B) 2.75	C) 4.25	D) 4.5	E) None of these

Solution: Solution   let (17)3.5 * (17)x = 178. then, (17)3.5 + x = (17)8.   ∴ 3.5 + x = 8 ⇔ x = (8 - 3.5)= 
(8 - 3.5) = 4.5
4.5   Answer 4.5
Answer: D
A unit square is subdivided into a grid composed of 9 squares each with sidelength 1/3 . A circle
is drawn through the centers of the 4 squares in the outermost corners of the grid. Compute the
area of this circle. Pick one
A) 1π/9
B) 3π/9
C) 5π/9
D) 7π/9
E) 2π/9

Solution: The circle's radius lies between the centers of two diagonally adjacent small squares.   Therefore it is equal to the diagonal of one small square, and r =√2/3.The circle's area is thus   2π/9 .   correct answer 2π/9
Answer: E
How many seconds will a train 100 meters long take to cross a bridge 170 meters long if the speed of the train is 36 kmph?  Choose the correct choice from the following.
A) 54 sec
B) 65 sec
C) 25 sec
D) 45 sec
E) 27 sec

Solution: D = 100 + 170= 
100 + 170 = 270
270   S= 36 * 5/18= 
36 * 5/18 = 10
10 mps   T= 270/10= 
270/10 = 27
27 sec   Answer:27 sec
Answer: E
By how much is three-fifth of 360 greater than four-seventh of 210 ? Choose the correct answer:
A) 96	B) 100	C) 110	D) 120	E) 130

Solution: Explanation:   3/5 of 350 - 4/7 of 210 = 216 - 120= 
216 - 120 = 96
96.   96nswer: 96
Answer: A
Shalu started a business by investing Rs.50,000. After six months , Nitesh joined her with a capital of Rs.80,000. After 3 years , they earned a profit of Rs. 24,500. What was Shalu's share in the profit?  Choose the correct choice from the following options
A) Rs 9423  B) Rs 10250  C) Rs 10500  D) Rs 14000  E) None of these

Solution: Shalu : Nitesh =(50000x36):(80000x30) = 3 : 4. Shalu's share = Rs.(24500x3/7) = Rs.10,500.   Answer Rs 10500
Answer: C
I have a three digit number in my mind. In that number, the tens digit is seven more than the ones digit and the hundreds digit is six less than the tens digit.
What is the number?  Choices:
A) 281  B) 239  C) 254  D) 276  E) 277

Solution: 281   281
Answer: A
A certain box has 8 cards and each card has one of the integers from 1 to 8 inclusive. Each card has a different number. If 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average (arithmetic mean) of all the numbers written on the 8 cards? Choose the correct choice from the following options
A) 1/8 B) 1/12 C) 1/14 D) 1/18 E) 1/28

Solution: The average of the numbers is 4.5   The total number of ways to choose 2 cards from 8 cards is 8C2 = 28.   The ways to choose 2 cards with a sum less than the average are: {1,2},{1,3}   The probability is 2/28 = 1/14   The answer is 1/14.
Answer: C
Stacy has a 66 page history paper due in 6 days. How many pages per day would she have to write to finish on time? Choose the correct choice:
A) 9  B) 8  C) 11  D) 8.5  E) 6

Solution: 66/6= 
66/6 = 11
11   Answer : 11
Answer: C
For arranging a picnic, each student contributed an amount equal to the number of students while the teacher contributed an amount equal to twice the number of students. However, if each student would have contributed an amount equal to twice the number of students and the teacher would have contributed an amount equal to the number of students, they would have generated Rs. 1056 more. Find the number of students in the group?  Choose the correct choice from the following answers.
A) 24	B) 25	C) 33	D) 50	E) Cannot be determined

Solution: Explanation:   Let the number of students = x. Thus, we get,   [(2x2 + x) – (x2 + 2x)] = 1056   x2 - x - 1056 = 0   Solving the equation, we get, x = 33 or x = - 32.   Since the number of students are to be positive, number of students = x = 33   ANSWER: 33
Answer: C
A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs): Choose one:
A) 200, 250, 300
B) 300, 200, 250
C) 200, 300, 400
D) None of these
E) Cannot be determined

Solution: Explanation:   A's 5 days work = 50%   B's 5 days work = 33.33%   C's 2 days work = 16.66% [100- (50+33.33)]   Ratio of contribution of work of A, B and C = 50:33 1/3 :16 2/3   = 3 : 2 : 1   A's total share = Rs. 1500   B's total share = Rs. 1000   C's total share = Rs. 500   A's one day's earning = Rs.300   300, 200, 250's one day's earning = Rs.200   C's one day's earning = Rs.250   Answer: 300, 200, 250
Answer: B
The smallest 3 digit prime number is?	Choose the correct choice from the following options:
A) 101
B) 103
C) 109
D) 113
E) None

Solution: The smallest 3-digit number is 100, which is divisible by 2.   100 is not a prime number.   101 < 11 and 101 is not divisible by any of the prime numbers 2, 3, 5, 7, 11.   101 is a prime number.   Hence 101 is the smallest 3-digit prime number.   101)
Answer: A
If 5 gallons of gasoline are added to a tank that is already filled to 3/4 of its capacity, the tank is then filled to 9/10 of its capacity. How many gallons does the tank hold?	Select:	A) 20	B) 30	C) 36	D) 40	E) 60

Solution: Let the Capacity of the tank=C   (3/4)C + 5 = (9/10)C   =>(9/10)C - (3/4)C = 5   =>(3/20)C = 5   =>C = (5*20)/3 = 33.33   Number of gallons of gasoline that the tank currently holds = 3/4*C +5 = 24.99+5= 
24.99+5 = 29.99
29.99=30   Answer 30
Answer: B
Right triangle ABC is to be drawn in the xy-plane so that the right angle is at A and AB is parallel to the y-axis. If the x- and y-coordinates of A, B, and C are to be integers that are consistent with the inequalities -5 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions? Choose the correct option
A) 54
B) 1440
C) 2,160
D) 2,916
E) 148,824

Solution: We have the rectangle with dimensions 9*5 (9 horizontal dots and 5 vertical). AB is parallel to y-axis and AC is parallel to x-axis.   Choose the (x,y) coordinates for vertex A: 9C1*5C1;   Choose the x coordinate for vertex C (as y coordinate is fixed by A): 8C1, (9-1=8 as 1 horizontal dot is already occupied by A);   Choose the y coordinate for vertex B (as x coordinate is fixed by A): 4C1, (5-1=4 as 1 vertical dot is already occupied by A).   9C1*5C*8C1*4C1=1440.   Answer: 1440.
Answer: B
What is the cost price of an article sold by a trader at 10% loss, given that the trader would have made a profit of 9% if he had sold it for $60 more? Choose the correct option:
A) $526.31  B) 527.31  C) 516.31  D) 528.31  E) 524.31

Solution: Let C.P. be $x   Then 109% of x - 90% of x = 100   19% of x = 100   19/100 *X = 100   19x = 10000   x = 526.31   $526.31nswer is $526.31
Answer: A
For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 90 Θ 33 ) Θ 17 ) - ( 99 Θ (33 Θ 17)) ?	Choose the most appropriate option
A) 10
B) 8
C) 6
D) 4
E) 2

Solution: (( 90 Θ 33 ) Θ 17 )   The remainder of 90 divided by 33 is 24;   The remainder of 24 divided by 17 is 7;   ( 99 Θ (33 Θ 17))   The remainder of 33 divided by 17 is 16;    7 - 3= 
 7 - 3 = 4
4.   Answer: 4.
Answer: D
A man engaged a servant on the condition that he would pay him Rs.1000 and a uniform after one year service. He served only for 9 months and received uniform and Rs.550, find the price of the uniform?  Choose the correct choice from the following answers:
A) s.80
B) s.85
C) s.90
D) s.800
E) s.120

Solution: 9/12 = 3/4 * 1000= 
3/4 * 1000 = 750
750   550   -------------   200   1/4 -------- 200   1 --------- ?=> Rs.800   ANSWER:s.800
Answer: D
Find the number of terms in an arithmetic progression with the first term 2 and the last term being 62, given that common difference is 2.  Choose the correct choice from the following:
A) 31
B) 40
C) 22
D) 27
E) 25

Solution: The n th term = a +(n-1) *d   62 = 2 +(n- 1) *2,   62 – 2 = (n-1) *2,   n = 60/2 +1= 
60/2 +1 = 31
31.   31NSWER:31
Answer: A
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?	Choose the correct choice from the following answers.
A) 17  B) 27  C) 15  D) 19  E) 16

Solution: Suppose, first pipe alone takes x hours to fill the tank. Then, second and third pipes will take (x - 5) and (x - 9) hours respectively to fill the tank.   1/x + 1/(x - 5) = 1/(x - 9)   (2x - 5)(x - 9) = x(x - 5)   x2 - 18x + 45 = 0   (x- 15)(x - 3) = 0 => x = 15   Answer: 15
Answer: C
If 8 ∙ 2x = 5(y+8), then when y = -8, x =
Options
A) -4 B) -3 C) 0 D) 4 E) 8

Solution: Solution:   8 ∙ 2x = 5(y+8).   or, 8 ∙ 2x = 5(-8+8).   or, 2x = 50.   or, 2x = 1 [anything to the power 0 is 1 then, 50 = 1].   Taking log on both sides,   log 2x = log 1.   or, x log 2 = 0 [since log 1 = 0].   or, x = 0/log 2 [dividing log 2 on both sides].   Therefore, x = 0.   Answer: 0
Answer: C
To fill an art exhibit, the girls in an art course are assigned to create one piece of artwork each in the following distribution: 1/3 are sculptures, 1/8 are oil paintings, 1/2 are watercolors, and the remaining 10 pieces are mosaics. How many girls are in the art class?	Choose the most appropriate option:
A) 80
B) 120
C) 240
D) 320
E) 400

Solution: Let the total number of girls in the art class = s   Distribution of artwork is as   1/3 are sculptures   1/8 are oil paintings   1/2 are watercolors, and the remaining 10 pieces are mosaics   (1/3)s +(1/8)s +(1/2)s + 10 = s   Since remaining 10 pieces are mosaics , (1/24)s = 10   s = 240   Answer 240
Answer: C
Out of 200 donors, ¼ are men and remaining are women. Each male donor donates Rs.3000 per year and each female donor donates ½ of that amount. What is the total yearly collection through donations? Choose one.
A) Rs.1, 50,000	B) Rs.3, 75,000	C) Rs.1, 40,300	D) Rs.2, 25,000	E) Rs.4, 25,000

Solution: Number of men donors= 200*1/4= 
200*1/4 = 50
50   Number of women donors=200-50= 
200-50 = 150
150   1 man donor donates= Rs.3000   Therefore, 50 men donor donates = 3000* 50= Rs.1,50,000   1 woman donor donates= 3000*1/2 = Rs.1500   Therefore, 150 women donor donates = 1500* 150= Rs.2,25,000   Hence total amount collected = 1,50,000+ 2,25,000   = Rs.3,75,000   ANSWER:Rs.3, 75,000
Answer: B
The principal that amounts to Rs. 4903 in 3 years at 6 1/4 % per annum C.I. compounded annually, is? Select
A) s. 3096  B) s. 4076  C) s. 4085  D) s. 4096  E) s. 5096

Solution: Principal = [4913 / (1 + 25/(4 * 100))3]   = 4903 * 16/17 * 16/17 * 16/17 = Rs. 4076.   ANSWER:s. 4076
Answer: B
Two pens and three pencils cost 86. Four pens and a pencil cost 112. What is the difference between the cost of a pen and that of a pencil?  Pick
A) 25	B) 13	C) 19	D) Cannot be determined	E) None of these

Solution: Let the cost of a pen and a pencil be ‘x’ and ‘y’ respectively. We have to find (x – y).   From the question,   2x + 3y = 86 ..... (i)   4x + y = 112 ......(ii)   Subtracting (i) from (ii), we get   2x – 2y = 26 or, x – y = 13   Answer 13
Answer: B
Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 2/5 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?  Pick one
A) 3/19
B) 3/12
C) 5/17
D) 3/10
E) 3/14

Solution: Let Veena paid x,   so Akshitha paid 2x/5 , and Lasya paid 2x,   So total bill paid is given by   x+(2x/5) +2x = 1, we get   i.e. x = 5/17   Answer: 5/17
Answer: C
In the first week of the Year, Jancy saved $1. In each of the next 51 weeks, she saved $1 more than she had saved in the previous week. What was the total amount that Jancy saved during the 52 weeks?
Choose one.
A) $1,326	B) $1,352	C) $1,378	D) $2,652	E) $2,756

Solution: In the first week of the Year, Jancy saved $1.If you don't recall the formula, there is one method:   1 + 2 + 3 + 4 + 5 ........ + 26 + 27 + ............ + 48 + 50 + 51 + 52   Sum of 1stlast digit = 1 + 52= 
1 + 52 = 53
53   Sum of 2nd2nd last digit= 2 + 51= 
2 + 51 = 53
53   Sum of 3rd3rd last digit= 3 + 50= 
3 + 50 = 53
53   .   .   .   .   This is repeated 26 times   So, 26 * 53= 1378   Answer = $1,378
Answer: C
If 8 ministers are to be seated at a round table conference, then how many different ways can they be seated? Choose the correct choice from the following options
A) 24  B) 60  C) 5040  D) 720  E) 180

Solution: Simple formula:   There are (n - 1)! ways to arrange n distinct objects in a circle.   so its  (8-1)= 
 (8-1) = 7
7!= 5040=5040
Answer: C
Simplify: (4 – 5) – (13 – 18 + 2). Options.
A) -1 B) –2 C) 1 D) 2 E) 0

Solution: Solution:   (4 – 5) – (13 – 18 + 2).   = -1-(13+2-18).   = -1-(15-18).   = -1-(-3).   = -1+3.= 
-1+3. = 2
2.   Answer: (2)
Answer: D
A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 2. Find his average after 17th inning. Options:
A) 36 B) 39 C) 42 D) 45 E) None of the above

Solution: Let the average after 17th inning = x.   Then, average after 16th inning = (x – 2).   ∴ 16(x – 2) + 87 = 17x or x = (87 – 32) = 55.   Answer None of the above
Answer: E
If green means red, red means black, black means blue, blue means orange and orange means green, what is the colour of sky in night ? Options
A) Blue B) Green C) Yellow D) Orange E) Red

Solution: Explanation:   The colour of sky in night is 'black' and as given 'red' means 'black'.   so, the colour of sky in night is 'red'.   Answer: Red
Answer: E
Find the smallest number of 6 digits which is exactly divisible by 111	Choose the correct choice from the following answers: A) 100011 B) 111111 C) 101111 D) 1011111 E) 211111

Solution: Smallest number of 6 digits is 100000.   On dividing 100000 by 111, we get 100 as remainder.   Number to be added = (111 - 100) - 11.   Hence, required number = 100011   100011NSWER 100011 100011
Answer: A
Eric, Nick and Archi make contributions to the Society Of Nature Protection in the ratio of 5:3:2.5. If altogether they contribute 4452 Nis, how much more money does Nick contribute than Archi?  Choose the correct option: A) 128 Nis B) 212 Nis C) 234 Nis D) 245 Nis E) 288 Nis

Solution: E:N:A 5:3:2.5   so total = 5x + 3x + 2.5 x = 10.5 x 5  + 3  + 2.5= 
5  + 3  + 2.5 = 10.5
10.5 x= 4452   so x = 424   Nick Contribution is 0.5 more than Archi so 0.5 x =0.5 * 424= 
0.5 * 424 = 212
212   So B. 212 Nis is the correct answer
Answer: B
If c = 9/25, w = 15/32, and m + w + c = 1, which of the following gives the values of m, w, and c in increasing order?	Select:
A) c, m, w
B) c, w, m
C) m, w, c
D) m, c, w
E) w, m, c

Solution: Answer m, c, w - m, c, w   c ~ 1/3   w ~ 1/2   and m+w+c = 1 hence m ~ 1/6   Hence increasing order would be m -> c -> w   Aswer m, c, w
Answer: D
The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.450 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office.	Choose the correct choice from the following answers
A) 400 B) 420 C) 430 D) 495 E) 510

Solution: Let no. of non- officers be x   15 * 450 + x * 110 = (x + 15) 120   x = 495   495
Answer: D
Valentine day 14 Feb. 2005 was celebrated by Anand and shilpa on Monday. They were very happy. What day of the week would come on 14 Feb. 2013?
Choose the correct choice from the following answers
A) monday  B) tuesday  C) sunday  D) wednesday  E) thursday

Solution: feb 14 2005 - monday   feb 14 2006 - tuesday   feb 14 2007 - wednesday   feb 14 2008 - thursday   feb 14 2009 - saturday [since 2008 is leap year , 2 days ll go forward]   feb 14 2010 - sunday   feb 14 2011 - monday   feb 14 2012 - tuesday   feb 14 2013 - wednesday   ANSWER:wednesday
Answer: D
Let B represent a set of four distinct prime numbers. If the sum of the numbers in B is even and x is a member of B, then what is the least possible value that x can be?	Pick one
A) 1 B) 2 C) 3 D) 5 E) 7

Solution: We are told that B is a set of four distinct prime numbers, and the sum of the numbers in B is even. Since the question involves odds, evens and the smallest possible prime, you should immediately think of 2, the smallest prime number and the only even prime number.   If 2 were a member of the set, then we would have one even number and three odd numbers. Since such sum would always be odd, 2 cannot be a member of the set. Thus, all the members of B must be odd to yield an even sum.   Since all the members of the set must be odd prime numbers, the answer is the smallest odd prime number, which is 3.   The correct answer is choice (C).   Note:1 is not a prime number.
Answer: C
A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
Choose the correct choice from the following answers:	A) 108%	B) 300%	C) 100%	D) 180%	E) 200%

Solution: MP = 100   100%P = 75   SP = 150   ------   75 ---- 75   100 ---- ? => 100%   Answer: 100%
Answer: C
During the first week of performances of a certain play, 5,400 tickets were sold, all at reduced price. During the remaining weeks of performances, 5 times as many tickets were sold at full price as were sold at reduced price. If the total number of tickets R sold was 25,200, how many of them were sold at full price?	Choose the correct choice from the following choices.
A) 21,000  B) 19,800  C) 16,500  D) 15,800  E) 8,700

Solution: Given:   The question tells us about the number of tickets sold in the first week at reduced price = 5,400. It also tells us that during the remaining weeks, the number of tickets sold at full price was 5 times the no. of tickets sold at reduced price. The total tickets sold was 25,200, and we are asked to find the number of tickets that where sold at full price.   Approach:   The question asks us to find the number of ticket sold at full price. We know that the number of tickets sold at full price was 5 times the no. of tickets sold at reduced price in remaining weeks. Hence, assuming tickets sold at reduced price in remaining weeks to be x would give us the no. of tickets sold at full price to be 5x.   Tickets sold in first week + Tickets sold in remaining weeks = Total no. of tickets soldi.e.   Tickets sold in first week + Tickets sold at full price in remaining weeks + Tickets sold at reduced price in remaining weeks = Total no. of tickets sold   We know the no. of tickets sold during first week and the total no. of tickets sold. We will use this relation to get to our answer.   Working Out:   Tickets sold in first week + Tickets sold at full price in remaining weeks + Tickets sold at reduced price in remaining weeks = Total no. of tickets sold   Substituting values in the equation, we get   5,400 + 5x + x = 25,200   x= 3,300   Tickets sold at full price = 5x = 16,500   Answer: Option 16,500
Answer: C
40 percent of the ducks included in a certain side effects study were male. If some of the ducks had side effects during the study and 20 percent of the ducks who had side effects were male, what was the ratio of the side effect rate for the male ducks to the side effect rate for the female ducks?	Select
A) 1/4 B) 9/14 C) 2/3 D) 3/8 E) 8/7

Solution: Say total male = 40   Total female =60   Required ratio =( .2/40)/ (.8/60) = 3/8 3/8 is the answer
Answer: D
What do you get if you add 3 to 989 five times? Choose one:
A) 902 B) 990 C) 678 D) 992 E) 309

Solution: 992   992 , 992 , 992 , 992 , 992
Answer: D
On the number line, if x is halfway between -11 and 5, and if y is halfway between -3 and 7, what number is halfway between x and y? Choose the correct choice from the following options
A) -1.5	B) -0.5	C) 0.5	D) 1.5	E) 2.5

Solution: x= -3 and y = 2.   The answer is -0.5.
Answer: B
In 1 hour, a boat goes 5 km along the stream and 9 km against the stream. The speed of the boat in still water (in km/hr) is :
Choose the correct choice from the following answers
A) 3 km/hr. B) 2 km/hr. C) 7 km/hr. D) 8 km/hr. E) 5 km/hr.

Solution: Speed in still water = 1/2(9 + 5) km/hr   = 7 km/hr. ANSWER :7 km/hr.
Answer: C
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is	Pick one:
A) 1/37  B) 1/36  C) 1/32  D) 1/31  E) 1/38

Solution: It all 3 numbers have to be same basically we want triplets. 111, 222, 333, 444, 555 and 666. Those are six in number. Further the three dice can fall in 6 * 6 * 6= 
6 * 6 * 6 = 216
216 ways.   Hence the probability is 6/216= 1/36   Answer: 1/36
Answer: B
Dan can do a job alone in 15 hours. Annie, working alone, can do the same job in just 10 hours. If Dan works alone for 6 hours and then stops, how many hours will it take Annie, working alone, to complete the job? Choose the correct choice from the following choices
A) 2 B) 4 C) 6 D) 8 E) 10

Solution: Dan can complete 1/15 of the job per hour.   In 6 hours, Dan completes 6(1/15) = 2/5 of the job.   Annie can complete 1/10 of the job per hour.   To complete the job, Annie will take 3/5 / 1/10 = 6 hours.   The answer is 6.
Answer: C
The remainder when 1!+2!+3!...+50! divided by 4! will be  Choose the most appropriate option.
A) 21 B) 9 C) 77 D) 927 E) 19

Solution: The remainder when the terms greater than 4! are divided by 4! becomes 0 so we need to consider the terms upto 3!.   So remainder will be whatever is obtained by dividing 1!+2!+3! with 4!.   So remainder is obtained by dividing  (1+2+6)= 
 (1+2+6) = 9
9 with 4! ( 33)   So remainder is 9.   Answer:9
Answer: B
If the two-digit integers A and B are positive and have the same digits, but in reverse order, which of the following could be the sum of A and B?
Select the correct option
A) 65
B) 66
C) 67
D) 68
E) 69

Solution: A two-digit number "cd" can be expressed algebraically as 10c+d.   The sum of A + B = (10c+d)+(10d+c)=11(c+d).   The only answer that is a multiple of 11 is 66.   The answer is 66.
Answer: B
A trader marked the selling price of an article at 11% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of :
Choose the correct choice:
A) 10 % B) 10.5 % C) 9.9% D) 12.5 % E) None

Solution: Sol.   Let C.P. = Rs. 100. Then, Marked Price = Rs. 110, S.P. = Rs. 99.   ∴ Discount % = [11/111 * 100] % = 9.9%   Answer 9.9%
Answer: C
When Jack picks olives for two hours at three times his regular speed, he picks 11 pounds of olives more than Mac working for five hours at 80% of his regular speed. Therefore, if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 75% of his regular speed, then Pick:  A) Jack picks double the amount of olives Mac picks  B) Mac picks 10 pounds more than Jack  C) Jack picks 10 pounds more than Mac  D) Mac picks 5 more pounds than Jack  E) Jack picks 5 more pounds than Mac

Solution: Let's say Jack's regular speed is J olives/hr and Mac's regular speed is M olives/hr   Given:   2*3J = 10 + 5*(4/5)M   3J = 5 + 2M   Question:if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 75% of his regular speed   Mac picks 2M and Jack picks   4*(3/4)= 
  4*(3/4) = 3
3J   They are asking you for the relation between 3J and 2M. You already know 3J= 5 + 2M   So Mac picks 5 pounds more olives than Jack.   Mac picks 5 more pounds than Jack
Answer: D
Find the ones digit of 73^320 Choose the most appropriate option
A) 3
B) 5
C) 6
D) 7
E) 9

Solution: Cyclicity of 3 is 3,9,7,1after 4 multiplication again the cycle repeats.   So divide 320 by 4 and we get 87 as quotient and 2 as remainder. So cycle will run for 87 times and then 2 times more. So pick up the 2nd item from the cycle.   Hence Answer 7.
Answer: D