MU-NLPC/Calc-aqua_rat huggingface dataset:
A farm has chickens, cows and sheep. There are five times the number of chickens and cows than sheep. If there are more cows than chickens or sheep, and together, cows and chickens have a total of 100 feet and heads, how many sheep live at the farm? Answers:
A) 5  B) 8  C) 10  D) 4  E) 17

Solution: Chicken - ch   Cows - C   Sheep -S   ch+C=6S   C> ch and c>s   Each cow has 4 legs and 1 head   Each chicken has 2 legs and 1 head   So 5c+3ch=100 (sum of legs and head)   There are 2 possible solutions to this equation   c=11 and ch=9 or   c=14 and ch=10   Since from first equation where ch+c=5s   The sum of ch and c should be divisbile by 5. 24 is not so the only possible solution is c=11 and ch=9. So s=4   Answer : 4
Answer: D
If m is an integer, what is the greatest possible value for m that would still make the following statement true: 11*10^m < 1/10 ?  Choose the correct choice from the following answers:  A) –4  B) –3  C) –2  D) –1  E) 0

Solution: Just putting values, the LHS becomes   m =0 --> 11   m =-1 --> 11/10   m =-2 --> 11/100   m =-3 --> 11/1000   Anything lower will be smaller than 11/1000. m =-2, equality doesn't hold but it does for m =-3.   Answer is –3.
Answer: B
Two men A and B start from place X walking at 4 1/2 kmph and 5 1/2 kmph respectively. How many km apart they are at the end of 3 1/2 hours if they are walking in the same direction?
Choose the correct choice from the following answers.
A) 4 3/9	B) 4 3/5	C) 4 3/8	D) 4 3/2	E) 4 3/1

Solution: RS = 5 3/2 - 4 1/2 = 1 1/4   T = 3 1/2 h.   D = 5/4 * 7/2 = 35/8 = 4 3/8 km   Answer: 4 3/8
Answer: C
A shopkeeper mixed 7kg of salt worth Rs.6 per kg, 5kg of salt worth Rs.4 per kg and 6 kg of salt worth Rs.5 per kg. For what amount of money should he sell 4 kg of the mixed variety of salt in order to make a profit of 12½%?	Choose the correct choice from the following answers
A) 22.95  B) 23.95  C) 24.95  D) 25.95  E) 26.95

Solution: 7kg*Rs6---- Rs 42   5 kg*Rs4---- Rs 20   6kg*Rs5---- Rs 30   18kg for Rs--92 cost price of 1 kg=92/18=>Rs5.11111   cost of 4 kg ---- 4*5.11111=Rs 20.4444   Profit=12.5%   SP={(100+Gain%)/100}*CP   ={(100+25/2)/100}*20.444   =22.95   22.95NSWER:22.95
Answer: A
If 28a+30b+31c=427.
then a+b+c=?.a,b,c are natural numbers Select.
A) 6	B) 14	C) 12	D) 45	E) 28

Solution: have a look on your calender   since,we all knw a year consist of 365 days   february is d only month which has 28 days   4 months in a year has 30 days   and,rest 7 months has 31 days..   so,following d given eq. we can write 28*1 + 30*4 + 31*9..   hence values of a,b and c are 1, 4 and 9 respectively..   a+b+c=14   ANSWER:14
Answer: B
Find the odd one out:
125, 106, 83, 76, 65, 58, 53 Pick one.
A) 33  B) 83  C) 26  D) 18  E) 222

Solution: Explanation:   This sequence represents a series in which from the reverse order a prime number is added:   53+5= 
53+5 = 58
58   58+7= 
58+7 = 65
65   65+11= 
65+11 = 76
76   76+13= 
76+13 = 89
89   89+17= 
89+17 = 106
106   106+19= 
106+19 = 125
125   Hence 83 is the answer.   ANSWER: 83
Answer: B
P can complete a piece of work in 18 days & B can do the same piece of work in 15 days. They started working together but after 3 days P left & Q alone completed the remaining work. The whole work was completed in how many days?	Select.
A) 12 days B) 12.5 days C) 13 days D) 14.5 days E) 15.5 days

Solution: Both together worked for 3 days.   In 3 days , P can do = 3 x   1   18   =   1   6   th work   In 3 days, Q can do = 3 x   1   15   =   1   5   th work   In 3 days , work finished =   1   6   +   1   5   =   11   30   12.5 daysalance work =   19   30   12.5 daysalance work finished by Q => Time taken by Q to finish the balance work =   19   30   x 15 = 9.5 days   The whole work was completed in  9.5 + 3= 
 9.5 + 3 = 12.5
12.5 days   12.5 days
Answer: B
If 4^x = 8^y, then the value of (x/y)-1 is equal to : Choose the most appropriate option:
A) 1/2  B) 0  C) 1/4  D) 3/4  E) 2/3

Solution: 4^x = 8^y,   2^2x= 2^3y   so   2x=3y   x/y = 3/2   (x/y)-1 = (3/2)-1= 1/2   1/2NSWER:1/2
Answer: A
complete the numerical series with the correct number
5+3+2=151022
9+2+4=183652
8+6+3=482466
5+4+5=202541
9+5+5= ?
Choices
A) 468645  B) 454586  C) 454585  D) 454386  E) 444586

Solution: 454585orrect Answer : 454585   number is formed as   5+3+2   5*3 3*2 2*5 = 151022   similarly,   9*5 9*5 (9*5+9*5-5)= 454585
Answer: C
A man can do a job in 15 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?  Pick.
A) 6.4 days B) 4.4 days C) 5.4 days D) 8.4 days E) 2.4 days

Solution: 6.4 days   6.4 days   1 day work of the three persons = (1/15 + 1/20 + 1/25) = 47/300   So, all three together will complete the work in 300/47 = 6.4 days.-
Answer: A
The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?	Choose the correct choice from the following choices
A) 17 B) 19 C) 16 D) 12 E) 14

Solution: 63 + 83 + 103   = a3 => a   = 12   Answer:12
Answer: D
The average age of a husband and his wife was 26 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is : Choose one:
A) 11  B) 18  C) 21  D) 287  E) 27

Solution: Explanation:   Sum of the present ages of husband, wife and child = (26 * 2 + 5 * 2) + 1= 
(26 * 2 + 5 * 2) + 1 = 63
63 years.   Required average= (63/3)= 
(63/3) = 21
21 years.   Answer: 21) 21
Answer: C
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 33. Find the profit percentage? Select the correct option
A) 65%	B) 50%	C) 59%	D) 40%	E) 53%

Solution: L.C.M of 15 and 12   = 60   CP of 60 articles   = Rs. 100 (25 * 4)   SP of 60 articles   = Rs. 165 (33 * 5)   Profit percentage   = (165 - 100)/100 * 100= 
(165 - 100)/100 * 100 = 65
65%   65%nswer: 65%
Answer: A
A soccer team played 158 games and won 40 percent of them. How many games did it win?  Choose the correct choice from the following answers:	A) 84	B) 63.2	C) 104	D) 50.8	E) 15.8

Solution: 40% of 158=x   0.40*158= 
0.40*158 = 63.2
x   63.2=x   answer :63.2
Answer: B
Given a bag with 2 red balls and 3 yellow balls, you randomly select one of them, in order. If the second ball you take is yellow, what is the probability that the first one was also yellow?	Answers:
A) 1/2
B) 1/5
C) 3/4
D) 1/3
E) 3/5

Solution: This is a conditional probability question. Basically we are told that out of 2 balls picked one is yellow and are asked to find the probability of the other one also to be yellow.   So, possible options for this other ball would be: W, W, B, B (as one yellow is already picked)   So the probability for that ball to be yellow too is 2/4=1/2.   Option 1/2
Answer: A
If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 186 m, what is its area?  Choose the correct choice.
A) 2510 B) 2535 C) 2530 D) 2030 E) 2520

Solution: length = breadth +23. Therefore,   4× breadth +2×23=186 m   ⇒ breadth =35 m   length =35+23= 
35+23 = 58
58 m   Area=58×35=2030 m2   Answer is 2030.
Answer: D
Sequence P is defined by pn=pn−1+3, p1=11, sequence Q is defined as qn=qn−1–4, q3=103. If pk>qk+2, what is the smallest value k can take?  Select the correct option.
A) 6  B) 9  C) 11  D) 14  E) 15

Solution: Set P = {11, 14, 17,.....}   Set Q = {110, 107, 103,....}   For Arithmetic progression a(n)=a(1)+(n−1)d   Started with C) 11 does not satisfy pk > qk+2   and D) 14, pk = qk+2   So Answer is 15
Answer: E
Out of seven given numbers, the average of the first four numbers is 4 and that of the last four numbers is also 4. If the average of all the seven numbers is 3, fourth number is  Choose the most appropriate option:
A) 3
B) 4
C) 7
D) 11
E) 12

Solution: (a+b+c+d)/4=4   =>(a+b+c+d)=16...........(1)   (d+e+f+g)/4=4   =>(d+e+f+g)=16   =>(e+f+g)=16-d...........(2)   Also, (a+b+c+d+e+f+g)/7=3 (Given)   using (1) and (2) equations   16+16-d=21   => d=11   ANSWER:11
Answer: D
Tough and Tricky questions: Percents.
Over the course of a year, a certain microbrewery increased its beer output by 80 percent. At the same time, it decreased its total working hours by 10 percent. By what percent did this factory increase its output per hour?	Pick:  A) 100  B) 200  C) 300  D) 400  E) 500

Solution: Lets assume the initial production was 100 litres of beer for 100 hr.   With the 80% increase the total amount of beer production will be 180 litres and with 10 % decrease in total hours will be reduced to 90 hr.   100hr ----> 100 lts   1hr -----> 1 lts   90hr -----> 180 lts   1hr -----> 2 lts   Total Increase in production for 1 hr = 200%   Answer 200
Answer: B
A man can swim in still water at 3 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?  Select the correct option:
A) 1.7	B) 1.4	C) 1.1	D) 1.5	E) 1

Solution: M = 3   S = x   DS = 3 + x   US = 3 + x   3 + x = (3 - x)2   3 + x = 6 -2x   3x = 3   x = 1   Answer:1
Answer: E
On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 40% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?  Choose the correct option:
A) 36%	B) 60%	C) 66%	D) 80%	E) 84%

Solution: Chris won't be able to attend the game if it be raining on Monday evening and Tuesday evening. The probability of that is 0.4*0.4 = 0.16. So, the probability that he will be able to attend is 1 - 0.16 = 0.84.   Answer: 84%.
Answer: E
Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 7 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have? Select the correct option.
A) 30  B) 840  C) 240  D) 480  E) 960

Solution: Total # of outfits = 12 * 10 * 7= 
12 * 10 * 7 = 840
840   Answer - 840
Answer: B
There are 36 students in a certain geometry class. If one third of the students are boys and one fourth of the boys are under six feet tall, how many boys in the class are under six feet tall?
Options.
A) 3  B) 12  C) 18  D) 24  E) 27

Solution: Total Students = 36   One third of the students are boys = 1/3*36= 
1/3*36 = 12
12   One fourth of the boys are under six feet tall= 1/4*12= 
1/4*12 = 3
3 ...   Therefore Number of boys in the class under six feet tall= 3 ... Answer A....   Alternatively... Number of boys in the class under six feet tall = 1/4 of 1/3 of Total Students = 1/4*1/3*36 = 3...   3nswer 3
Answer: A
John and Jacob set out together on bicycle traveling at 15 and 9 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride at 15 miles per hour? (consider John's deceleration/acceleration before/after the flat to be negligible)
Options:
A) 3 B) 3 1/3 C) 3 1/2 D) 4 E) 1 1/4

Solution: John's speed - 15 miles/hr   Jacob's speed - 9 miles/hr   After 40min (i.e 2/3hr), distance covered by John = 15x2/3 = 10 miles.   Jacob continues to ride for a total of 1hour and 40min (until John's bike is repaired). Distance covered in 1 hour 40min (i.e 5/3hr) = 9x5/3 = 15 miles.   Now, when John starts riding back, the distance between them is 7.5 miles. Jacob and John are moving in the same direction.For John to catch Jacob, the effective relative speed will be   15-9= 
  15-9 = 6
6 miles/hr.   Thus, to cover 7.5 miles at 6 miles/hr, John will take  7.5/6= 
 7.5/6 = 1.25
1.25 hours   Answer 1 1/4
Answer: E
Five marbles are randomly selected, one at a time (without return), from a bowl of 100 marbles (20 green, 30 blue, 10 yellow, and 40 black). What is the probability that all five marbles are black? (Answer in lowest terms).  Choose the correct choice from the following:
A) 201/125 B) 9139/1045660 C) 11350/146790 D) 21/75 E) 2/5

Solution: Let K = black. The bowl has 40 black marbles (we don't care what color the other marbles are because success is black only), so the probability of getting black is P(K) = 40/100 on the first selected marble.   Because selection is (without return), the P(K) has changed for following selections. Now, there are 99 marbles and black is dependent upon whether first marble was black, or not... and so on.... Therefore, conditional probability! The probability that event B occurs, given that event A has already occurred is:   Formula = P(A\B) = P(A and B)/P(B).   P(A\9139/1045660) = (40/100)(39/99)(38/98)(37/97)(36/96) = 78960960/9034502400 = 9139/1045660   Answer: 9139/1045660
Answer: B
If the largest three digit number is subtracted from the smallest five digit number, then the remainder is  Select the correct option.
A) 1 B) 9000 C) 9001 D) 90001 E) None

Solution: Solution   Required remainder	= (10000 - 999)= 
(10000 - 999) = 9_001
9001   Answer 9001
Answer: C
Look at this series: 15, __, 27, 27, 39, 39, ... What number should fill the blank?	Choose the most appropriate option:  A) 51  B) 39  C) 23  D) 15  E) None

Solution: Explanation: In this simple addition with repetition series, each number in the series repeats itself, and then increases by 12 to arrive at the next number.   Answer: Option 15
Answer: D
What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum
Choose the correct choice from the following answers.
A) 110  B) 120  C) 130  D) 140  E) None of these

Solution: Explanation:   Let the present worth be Rs.x   Then,S.I.= Rs.(132 - x)   =� (x*5*2/100) = 132 - x   =� 10x = 13200 - 100x   =� 110x = 13200   x= 120   Answer: 120
Answer: B
With what number must 0.580 be multiplied in order to obtain the number 580?	Answers:  A) 100  B) 1,000  C) 10,000  D) 100,000  E) None of these

Solution: Explanation: The decimal must be moved three places to the right. To do this, we must multiply by a number with three zeroes. The correct answer is 1000.The decimal must be moved three places to the right. To do this, we must multiply by a number with three zeroes. The correct answer is 1000.   Answer : (1,000)
Answer: B
10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?  Pick one:  A) 127 days  B) 667 days  C) 177 days  D) 187 days  E) 225 days

Solution: 1 man's 1 day work = 1/100   (10 men + 15 women)'s 1 day work = 1/6   15 women's 1 day work = (1/6 - 10/100) = 1/15   1 woman's 1 day work = 1/225   1 woman alone can complete the work in 225 days.   Answer:225 days
Answer: E
A School Bus is used to transport students from home to college. There are total of 20 students who want to take the bus. There are 10 seats in the bus. 2 in the front row, 4 in the middle row and 4 in the last row. Bus driver has to make sure that front 2 seats are for nausea students. 4 students have nausea and can only sit in the front 2 seats. How many ways can the students sit in the bus.  Choose the correct choice from the following answers:
A) 100068  B) 24443  C) 2392329  D) 445678  E) 5405400

Solution: 4C2 Select 2 students from 4 who have nausea and can sit in front seats only.   16C4 Select 4 students from 16 who have to sit in middle row. (As 4 students who have nausea cannot sit anywhere else/ 20-4 = 16)   12C4 Select 4 students who will sit in the last row. (As 4 students who have nausea cannot sit anywhere else. 4 are sitting in the middle row. 20-4-4 = 12)   Total Number of selection = 4C2 * 16C4 * 12C4 = 5405400   Ans = 5405400
Answer: E
Percentage of profit earned by selling a book e for $1920 is equal to the percentage loss incurred by selling the same book for $1280. What price should the book be sold to make 25% profit?  Choose the correct choice from the following answers: A) $500 B) $1000 C) $1500 D) $1700 E) $2000

Solution: Let C.P. be Rs. x.   Then,	1920 - x	x 100 =	x - 1280	x 100   x	x   1920 - x = x - 1280   2x = 3200   x = 1600   Required S.P. = 125% of Rs. 1600 = Rs. 125	x 1600 = $2000   100   $2000
Answer: E
For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the integers between 100 and 200? Choose the correct choice from the following:
A) 4545  B) 5050  C) 6525  D) 4352  E) 4652

Solution: sum = 100*101/2 = 50*101= 
50*101 = 5_050
5050   Answer is 5050
Answer: B
In the reading room of a library, there are 25 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?  Select
A) 17  B) 16  C) 15  D) 14  E) 9

Solution: 1+2+3+4+5+6+7+8= 
1+2+3+4+5+6+7+8 = 36
36   so, 8 spots are occupied by users    25-8= 
 25-8 = 17
17,   17NSWER:17
Answer: A
Whats the next number in this number series ?
18, 46, 94, 63, 52, ?	Select the correct option.
A) 23
B) 12
C) 34
D) 61
E) 55

Solution: 61   61   Reversed digits of squares of number in descending order.
Answer: D
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?	Choices:
A) 9 B) 10 C) 12 D) 20 E) 22

Solution: Due to stoppages, it covers 9 km less.   Time taken to cover 9 km = (9/54 x 60) min = 10 min.   Answer:10
Answer: B
How many different possible permutations can be made from the word ‘VULLAT’ such thatthe vowels are never together?	Select the correct option: A) 120 B) 200 C) 240 D) 260 E) 270

Solution: The word ‘BULLAT’ contains 6 letters of which 1 letter occurs twice = 6! / 2! = 360   No. of permutations possible with vowels always together = 5! * 2! / 2! = 120   No. of permutations possible with vowels never together = 360-120= 
360-120 = 240
240.   240
Answer: C
Consider a set S given as {11,22,33,44,55,66,77,88,99} . If each element of the data set is multiplied by -6 then by what factors will the Mean,Variance and Standard Deviation respectively change ?	Choose the correct answer
A) -6,-6,-6	B) -6,6,6	C) 1,1,1	D) -6,36,6	E) 6,6,36

Solution: Mean: If all values are multiplied by -6 then their sum will also be multiplied by -6 so Mean will also get -6   Variance:   Variance is equal to (Sum of (Square of (the difference between mean and individual values))/Total number of values   When we multiply all the values by -6 then the difference between the mean and the individual values also gets multiplied by -6 and the square of that difference becomes 36. So, the variance gets multiplied by a factor of 36   SD:   Standard Deviation is the square root of variance so sqrt(36)=6. So SD gets multiplied by a factor of 6.   So, answer will be -6,36,6.
Answer: D
A committee has 4 men and 6 women. What are the number of ways of selecting 2 men and 4 women from the given committee? Choose one:
A) 75
B) 90
C) 105
D) 120
E) 135

Solution: The number of ways to select two men and four women = 4C2 * 6C4 = 6 * 15= 
6 * 15 = 90
90   The answer is 90.
Answer: B
Two men are walking towards each other alongside a railway track. A freight train overtakes one of them in 20 seconds and exactly 10 minutes later meets the other man coming from the opposite direction. The train passes this man is 18 seconds. Assume the velocities are constant throughout. How long after the train has passed the second man will the two men meet? Pick:	A) 89.7 minutes	B) 90 minutes	C) 90.3 seconds	D) 91 seconds	E) None of these

Solution: Explanation :   Let ‘L’ be the length of train, ‘x’ be the speed of the first man, ‘y’ be the speed of the second man and ‘z’ be the speed of the train.   =>20=1/(z−x) and   =>18=1/(z+x)   =>z=10x+9y.   Distance between the two men =600(z+y).   Time = (600(z+y)-600(x+y))/(x+y).   =>600(9x+9y)/(x+y).   => 90 minutes.   Answer : 90 minutes
Answer: B
A cube of side 3 meter length is cut into small cubes of side 15 cm each. How many such small cubes can be obtained?
Choose one:
A) 8078 B) 1040 C) 1058 D) 1021 E) 8000

Solution: Along one edge, the number of small cubes that can be cut   = 300/15= 
300/15 = 20
20   Along each edge 20 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut= 20 * 20 * 20= 
20 * 20 * 20 = 8_000
8000   Answer:8000
Answer: E
x = 13.165
y = 7.686
z = 11.545
The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A – B?  Select the correct option:
A) 0.01	B) 0.02	C) 0.03	D) 0.1	E) 0.2

Solution: Rounding off the values:   x = 13.17   y = 7.69   z = 11.55   A = 13.17 + 7.69 + 11.55= 
13.17 + 7.69 + 11.55 = 32.41
32.41   x + y + z= 13.165 + 7.686 + 11.545 = 32.206   B = 32.21   A - B = 0.2   Option 0.2
Answer: E
A boat travels 32 km downstream in 8 hours and 24 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current.	Select:
A) 3 km/hr, 1 km/hr
B) 5 km/hr, 4 km/hr
C) 1 km/hr, 6 km/hr
D) 2 km/hr, 1 km/hr
E) 4 km/hr, 1 km/hr

Solution: Downstream speed=32km/8hrs   =4kmph   upstream speed32  /8= 
32  /8 = 4
4kmph   upstream speed=24km/12hrs   =2kmph   speed of boat24  /12= 
24  /12 = 2
2kmph   speed of boat=avg of downstream and upstream speeds   speed of boat=(4+2)/2= 
(4+2)/2 = 3
3kmph.   current speed=half of the difference of downstream and upstream speeds   currend speed=(4-2)/2= 
(4-2)/2 = 1
1kmph   ans is 3km/hr,1km/hr   3 km/hr, 1 km/hrNSWER:3 km/hr, 1 km/hr
Answer: A
Population of a colony of ants is increasing by 20% per day. If the population on Monday was 3000, on which day of that week the population would be 5184 ? Choose one
A) Wednesday	B) Thursday	C) Monday	D) sunday	E) tuesday

Solution: Monday - 3000, Tuesday = 3000+(3000*.20)= 
3000+(3000*.20) = 3_600
3600   wednesday= 3600+(3600*.20)= 
3600+(3600*.20) = 4_320
4320   Thursday= 4320+(4320*.20)= 
4320+(4320*.20) = 5_184
5184   ANSWER:Thursday
Answer: B
A bag contains 10 red and 6 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?  Choose the correct option.
A) 4/7 B) 2/3 C) 5/8 D) 1/4 E) 5/7

Solution: Total number of balls = 10+6= 
10+6 = 16
16   number of white balls= 10   Probability = 10/16 = 5/8   Answer is 5/8
Answer: C
A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits $ 1600 each in 1st month and 7th month of a year. At the end of the year, the amount he would have gained by way of interest is?
Choose one:	A) 121	B) 50	C) 100	D) 160	E) 80

Solution: Amount = (1600)* (1 + (5/2*100))^2   Amount = 1600 * (41/40) * (41/40)= 
1600 * (41/40) * (41/40) = 1_681
1681 ------(for investment in 1st month) Amount= 1600 * (41/40)= 
1600 * (41/40) = 1_640
1640 -----(for investment in 7th month) Total Amount= 1681 + 1640= 
1681 + 1640 = 3_321
3321 Interest= 3321-3200 = 121.............. 121ns -121
Answer: A
If q and r are both odd numbers B, which of the following must also be odd? Pick: A) q – r B) (q + r)^2 C) q(q + r) D) (qr)^2 E) q/r

Solution: We're told that q and r are both ODD numbers B. We're asked which of the following must also be odd.   IF...   q = 1   r = 3   Answer A) q – r = 1-3 = -2 NOT odd   Answer B) (q + r)^2 = (1+3)^2 = 16 NOT odd   Answer C) q(q + r) = (1)(4) = 4 NOT odd   Answer (qr)^2) (qr)^2 = (3)^2 = 9 This IS O(qr)^2(qr)^2   Answer E) q/r = 1/3 NOT odd   Final Answer:   (qr)^2
Answer: D
A, Band C can do a piece of work in 35 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days?
Choose one:  A) 7 days  B) 8 days  C) 9 days  D) 10 days  E) 16 days

Solution: (A+B)'s 1 day's work = 1/35+1/20 = 11/140   (A+C)'s 1 day's work = 1/35+1/55 = 18/385   work done in 2 day's = 11/140+18/385 = 48/383   48/383th work done in 2 days   work done= 383/48*2 = 16 days (approx)   ANSW16 daysR:16 days
Answer: E