MU-NLPC/Calc-aqua_rat huggingface dataset:
Rectangular Floors X and Y have equal area. If Floor X is 8 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?
Choose the correct choice from the following answers:
A) 13 1/2
B) 18
C) 18 3/4
D) 21
E) 16

Solution: The area of a rectangle is: Area = length x width   We are given that floor X is 8 feet by 18 feet and that floor Y is 9 feet wide. So we can say:   length of X = 8   width of X = 18   width of Y = 9   length of Y = n   We also can say:   Area of Floor X = Area of Floor Y   (length of X)(width of X) = (length of Y)(width of Y)   (8)(18) = 9n   (8)(2) = n   16 = n   Answer 16.
Answer: E
When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction x of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?	Options:
A) 11/14
B) 13/18
C) 4/7
D) 3/7
E) 3/14

Solution: If we use variable for total votes there will be too many fractions to manipulate with, so pick some smart #: let set total # of votes is 18.   2/9 of the votes on a certain resolution have been counted--> 4 counted and  18-4= 
 18-4 = 14
14 votes left to be counted;   3/4 of those counted are in favor of the resolution--> 3 in favor and 1 against;   Ratio of those who voted against to those who voted for to be 2 to 1 there should be total of   18*2/3= 
  18*2/3 = 12
12 people who voted against, so in the remaining 14 votes there should be   12-1= 
  12-1 = 11
11 people who voted against. Thus x=11/14 of the remaining votes must be against.   11/14nswer: 11/14.
Answer: A
How many positive integers less than 250 are there such that they are multiples of 15 or multiples of 16?	Pick:
A) 28.  B) 29.  C) 30.  D) 31.  E) 32.

Solution: 250/15 = 16 (plus remainder) so there are 16 multiples of 15   250/16 = 15 (plus remainder) so there are 15 multiples of 16   We need to subtract 1 because 15*16 is a multiple of both so it was counted twice.   The total is  16+15-1= 
 16+15-1 = 30
30   The answer is 30..
Answer: C
A boy can reach a certain place in 18 hours. If he reduces his speed by 1/30th, he goes 3 km less in that time. Find his speed. Options.
A) 5 km/hr. B) 6 km/hr C) 8 km/hr D) 14 km/hr E) None of these

Solution: Explanation :   Solution: Let the speed be x km/hr. then,   18x - (18 * 29x/30) = 3   => 3X/5= 3   => x = 5 km/hr.   5 km/hr.nswer : 5 km/hr.
Answer: A
There are 6 identical pens and 8 identical books. In how many different ways can a person select at least one object from this set?
Choose the correct choice from the following choices
A) 14
B) 28
C) 45
D) 62
E) 75

Solution: We can select from 0 to 6 pens and from 0 to 8 books.   Thus the total possible ways to select objects is   7*9= 
  7*9 = 63
63   We must subtract 1 for the case with 0 pens and 0 books.   The answer is 62.
Answer: D
A boat takes 19 hours for travelling downstream fro poin A to point B and coming back to a point C midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B?  Select
A) 180 km  B) 190 km  C) 220 km  D) 230 km  E) None

Solution: Sol.   Speed downstream = (14 + 4) km/hr = 18 km/hr;   Speed upstream = (14 - 4) km/hr = 10 km/hr.   Let the distance between A and B be x km. Then,   x/18 + (x/2)/10 = 19 ⇔ x/18 + x/20 = 19 ⇒ x = 180 km.   180 kmnswer 180 km
Answer: A
If the cost price of 10 articles is same as the selling price of 25 articles. Find the gain or loss percentage? Choose the correct choice:  A) 30% Gain  B) 30% Loss  C) 40% Gain  D) 60% Loss  E) 50% Loss

Solution: Explanation:   10 cp = 25 sp   Cost price CP = 25   Selling price SP = 10   Formula = (SP-CP)/CP * 100 = (10 - 25)/25 * 100 = 60 % Loss   Answer: Option 60% Loss
Answer: D
If 5 women or 8 girls can do a work in 84 days. In how many days can 10 women and 5 girls can do the same work ?
Choose the correct choice
A) 33
B) 66
C) 55
D) 32
E) 88

Solution: Given that 5 women is equal to 8 girls to complete a work so, 10 women=16 girls. Therefore 10women +5girls=16girls+5girls=21girls. 8 girls can do a work in 84 days then 21 girls= (8*84/21)= 
(8*84/21) = 32
32days. Therefore 10 women and 5 girls can a work in 32days   Answer: 32
Answer: D
If 1/12 of the passengers on a ship are from North America, 1/4 are Europeans, 1/9 are from Africa, 1/6 are from Asia and the remaining 42 people are citizens of other continents, then how many passengers are on board the ship? Select
A) 96	B) 100	C) 104	D) 108	E) 112

Solution: 1/12 + 1/4 + 1/9 + 1/6 = (3+9+4+6)/36 = 11/18   Let x be the number of passengers on the ship.   42 = (7/18)x   x = 108   The answer is 108.
Answer: D
A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.160. Find the unknown rate of two towels?	Choose the correct option:
A) A)400
B) B)450
C) C)500
D) D)550
E) E)600

Solution: 10 * 160= 
10 * 160 = 1_600
1600   3 * 100 + 5 * 150= 
3 * 100 + 5 * 150 = 1_050
1050   1600 – 1050= 550   550
Answer: D
How many positive integers less than 100 are neither multiples of 2 or5.  Select:	A) a)30	B) b)31	C) c)40	D) d)33	E) e)34

Solution: To answer this Q we require to know   1) multiples of 2 till 100 = 100/2= 
100/2 = 50
50   2) Multiples of 5 till 100= 100/5= 
100/5 = 20
20   add the two 50+20= 
50+20 = 70
70 ; subtract common terms that are multiple of both 2 and 5..   Lc)40M of 2 and 5= 10   Multiples of 10 till 100 = 100/10= 
100/10 = 10
10   so total multiples of 2 and 5= 70-10 = 6   ans = 100-60= 
100-60 = 40
40   c)40
Answer: C
Two representatives must be selected from each of two groups of students. One group consists of three men and two woman, and the other group consists of two women and one man. What is the probability that 2 men and 2 women will be selected ?	Answers
A) 1/6	B) 1/4	C) 2/7	D) 1/3	E) 5/12

Solution: Group 1: 3 Men and 2 Woman   Group 2: 1 Men and 2 Woman   Need: 2 Men and 2 women   Case 1: 2 Men from Group 1 and 2 women from group 2 - 3C2*2C2 = 3 ways   Case 2: 1 Men and 1 Woman from Group 1 and 1 Man and 1 women from group 2 - 3*2*1*2 = 12 ways   Total Favorable cases = 3+12= 
3+12 = 15
15   Total Possible ways of selecting students 2 from each group= 4C2*4C2 = 6*6= 
6*6 = 36
36   Probability= 15/36 = 5/12   Answer : Option 5/12
Answer: E
If the same letters represent the same digit and different letters represent different digits, what digit does the letter A represent?
Choices
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: Look at the digits in the ones place, there are 2 possible values for A + B + B:   A + B + B = A or A + B + B = 10 + A.   If A + B + B = A , B = 0. If A + B + B = 10 + A, B = 5.   Since B is a leading digit of BA, B cannot be a 0. B has to be a 5.   Look at the digits in the tens place, there are 2 possible values for 5 + A + A + 1:   5 + A + A + 1 = 10 + A or 5 + A + A + 1 = 20 + A   If 5 + A + A + 1 = 10 + A, A = 4. If 5 + A + A + 1 = 20 + A, A = 14. Since A is a single digit number, A has to be 4.   correct answer 4
Answer: D
Convert the following in a fraction: 0.75%  Select the correct option: A) 75/100 B) 3/4 C) 1/75 D) 2/5 E) None of the Above

Solution: 0.75 =75/100 = 3/4   Answer is 3/4.
Answer: B
A bowl was filled with 100 ounces of milk, and 0.0001 ounce of the milk evaporated each day during a 50-day period. What percent of the original amount of milk evaporated during this period? Options:	A) A)0.005%	B) B)0.05%	C) C)5%	D) D)50%	E) E)52%

Solution: Total amount of milk evaporated each day during a 50-day period = .0001 * 50= 
.0001 * 50 = 0.005
.005   percent of the original amount of milk evaporated during this period= (.005/100) * 100= 
(.005/100) * 100 = 0.005
0.005 %   0.005%nswer 0.005%
Answer: A
Ashley and Vinie work on a sales staff with 8 other salespeople. If five members of the staff will be chosen at random to attend a sales workshop, what is the probability that both Ashley and Vinie will be chosen?  Select the correct option.
A) 1/10
B) 3/28
C) 2/9
D) 1/4
E) 1/2

Solution: I did slightly different and hence obviously ended up with the answer 2/9.   I assumed that because Ashley and Vinie have to be chosen, the remaining selection is 3 people from 8.   8C3/10C5= 2/9. Option 2/9.
Answer: C
AMS employs 8 professors on their staff. Their respective probability of remaining in employment for 10 years are 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. The probability that after 10 years at least 7 of them still work in AMS is ?
Choices:
A) 0.19
B) 1.22
C) 0.1
D) 0.04096
E) none of these

Solution: Asking atleast 6 of them continue ,   it has 3 cases.   1 all 8 professors continue.   2 7 professors continue and 1 professors discontinue.   1st case all 8 continue is = 2/10*3/10*4/10*5/10*6/10*7/10*/8/10*9/10=9factorial/10power8   =362880/100000000   =>0.00363.   2nd case any 7 professors continue, and 1out of 8 discontinue ,8C1 means 8 ways.   = 2/10*3/10.......8/10*1/10, (9/10 prodbability professor discontinue then 1/10)   in this way if we calculate for 8 possibilities then value is =>0.03733.   =0.00363+0.03733+0.1436= 
0.00363+0.03733+0.1436 = 0.18456
0.18456=0.04096   0.04096
Answer: D
Virat buys an old car for Rs. 40000 and spends Rs. 4000 on its repairs. If he sells the car for Rs. 60000, his gain percent is:  Choose the correct choice from the following answers:
A) 3 (4/7) %  B) 11 (1/9) %  C) 12 (2/3) %  D) 12%  E) 36.36%

Solution: Explanation:   C.P. = Rs. (40000 + 4000) = Rs. 44000   S.P. = Rs. 60000.   Gain% = ( (16000 / 44000) * 100 ) % = 36.36%   ANSW36.36%R 36.36%
Answer: E
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 50 minutes, how many times do they toll together?
Answers
A) 4	B) 10	C) 15	D) 16	E) 26

Solution: L.C.M of 2,4,6,8,10,12 is 120. i.e after each 2 min they will toll together.So in 50 min they will toll 25 times.As they have initially tolled once,The answer will be  25+1= 
 25+1 = 26
26.   ANSW26R:26
Answer: E
If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is?	Choose the correct choice from the following options: A) 426 B) 526 C) 207 D) 204 E) 297

Solution: Given ratio   = 1/2:2/3:3/4 = 6:8:9   1st part = 782 * 6/23   = Rs. 204.   Answer:204
Answer: D
Find out the wrong number in the given sequence of numbers.
1, 2, 6, 15, 31, 56, 91 Answers:
A) 22
B) 91
C) 37
D) 28
E) 21

Solution: Explanation:   1, 1 + 12 = 2, 2 + 22 = 6, 6 + 32 = 15, 15 + 42 = 31, 31 + 52 = 56, 56 + 62 = 92   Last number of given series must be 92 not 91.   Answer: 91) 91
Answer: B
rahul played weel in this season.his current batting averagge is 46.if he score 78 runs in today match.his batting average will become 54.how many matches had he played in this season.
Choose the correct choice from the following
A) 8
B) 10
C) 3
D) 6
E) 5

Solution: 46x+78=54(x+1)   =>8x=24   =>x=3   ANSWER:3
Answer: C
The simple interest on Rs. 34 for 8 months at the rate of 6 paise per rupeeper month is	Choose the correct choice from the following answers:
A) 16.32  B) 16.9  C) 12.25  D) 13.21  E) None

Solution: Sol.   S.I. = Rs. [34 * 6/100 * 8] = Rs. 16.32   16.32nswer 16.32
Answer: A
A train running at the speed of 58 km/hr crosses a pole in 9 seconds. Find the length of the train? Choose the correct choice.
A) 145
B) 272
C) 278
D) 277
E) 112

Solution: Speed = 58*(5/18) m/sec = 145/9 m/sec   Length of Train (Distance) = Speed * Time     (145/9) * 9= 
  (145/9) * 9 = 145
145 meter   145nswer: 145
Answer: A
Calculate the average mark scored by Andrea if he had the following scores in an examination: 66, 60, 72, 77, 55 and 85 marks (out of 100) in English, Mathematics, Chemistry, Biology, French Language and Physics respectively?
Choose the correct choice from the following answers.
A) 74 B) 76 C) 70 D) 67 E) 69.2

Solution: 69.2xplanation:   Average mark = 66+60+72+77+55+85/6=69.2   Answer: Option 69.2
Answer: E
A rectangular grassy plot 110 m. by 65 m has a gravel path 2.5 m wide all round it on the inside. Find the cost of gravelling the path at 70 paise per sq. metre Pick
A) s595
B) s780
C) s880
D) s480
E) s980

Solution: area of the plot=110m*65m=7150sq.m   area of plot excluding gravel110 *65= 
110 *65 = 7_150
7150sq.m   area of plot excluding gravel=105m*60m=6300sq.m   area of gravel 105 *60= 
105 *60 = 6_300
6300sq.m   area of gravel=7150sq.m-6300sq.m =850sq.m   cost of building it = 850sq.m*70   = 59500p   in Rs =59500/100= 
59500/100 = 595
Rs595   s595NSWER:s595
Answer: A
The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average one number, namely 36 was wrongly read as 26. The correct average is :  Answers:
A) 12.4 B) 14 C) 16 D) 18.6 E) None of these

Solution: Explanation:   Sum of numbers = (10××15-26+36)=160   16orrect average = 160/10= 
160/10 = 16
16   16orrect Option: 16
Answer: C
A woman sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
Choose the correct choice from the following choices.
A) 11%
B) 700%
C) 430%
D) 9%
E) 125

Solution: 9%    (30*30)/100= 
 (30*30)/100 = 9
9%loss
Answer: D
A man sells an article at 15% loss. Had he sold it for Rs. 70/- more he could have gained 20%. What is the cost price of the article?  Select the correct option:
A) Rs.200/- B) Rs.400/- C) Rs.460/- D) Rs.480/- E) None of these

Solution: Explanation:   Short cut method:   Loss =====> 15 %   Profit ====> 20 %   ~   ----------------   35 % ---------> Rs. 70/-   100 % --------> Rs. 200/-   Rs.200/-nswer: Option Rs.200/-
Answer: A
The sector of a circle has radius of 21 cm and central angle 180o. Find its perimeter? Choose the correct choice:	A) 91.5	B) 92	C) 108	D) 94	E) 95

Solution: Perimeter of the sector = length of the arc + 2(radius)   = (135/360 * 2 * 22/7 * 21) + 2(21)   = 108 cm   Answer: Option 108
Answer: C
Among the first 1 million numbers, 40 is a number that is pretty unique.
Can you find out why ?	Choose the most appropriate option
A) 36	B) 31	C) 45	D) 39	E) 40

Solution: 40   40   The number 40 (Forty) is the only number in one million numbers whose letters are arranged in the order they are arranged in 40nglish alphabets as well.
Answer: E
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?  Choose the correct choice from the following answers:  A) 22  B) 77  C) 18  D) 77  E) 65

Solution: Total CP = Rs. 42000 + Rs. 13000 = Rs. 55000 and SP = Rs. 64900   Profit(%) = (64900 - 55000)/55000 * 100= 
(64900 - 55000)/55000 * 100 = 18
18%   Answer: 18
Answer: C
If l / r is an integer, which of the following statements must be true? Answers.
A) both l and r are integers  B) r / l is an integer  C) r is an integer  D) l = nr where n is an integer  E) either l or r is negative

Solution: Let l = 1/4; r = 1/8 --> l/r = 2   l= nr where n is an integer --> 1/4 = 2*(1/8) --> Correct   Answer: l = nr where n is an integer
Answer: D
Amy, Max and Nim, each have a basket full of apples. The number of apples each have is in the ratio 7:8:9 respectively. what could be the product of the number of apples. Pick one:
A) 4032 B) 5012 C) 1033 D) 4123 E) 5102

Solution: The ratio is in in the order of consecutive positive integers. Therefore, the product of the numbers will be divisible by both 2 and 3.   4032 -> even number, 4+0+3+2=6 ->divisible by 3.   4032nswer:4032
Answer: A
A bicyclist's wheel has a circumference of 4 meters. if the bicyclist covers 40 meters in 5 hours at a constant speed, how many rotations does the wheel make per hour at that speed?	Pick:
A) 2
B) 3
C) 4
D) 5
E) 6

Solution: The bicyclist covers y meters in t hrs. So he covers y/t meters in one hour.   To cover y/t meters, the bicycle's wheel went round and round that is, multiple times, the wheel completed one circumference on the road. How many times did it complete one full rotation. Since the circumference is x, the number of times it completes the circumference is y/xt.   given : x=4; y=40 and t=5   hence y/xt =40/4*5=2   2nswer (2)
Answer: A
How many perfect squares less than 1000 end with the digit 6? Pick one:
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: 4:16   6:36   14:196   16:256   24:576   26:676   ANSWER:6
Answer: D
5 friends went to a restaurant and decided to pay the bill amount equally. But 4 of them could pay Rs. 50 each as a result 5th has to pay Rs. 40 extra than his share. Find the amount paid by him.	Choose the correct option:
A) 130 B) 110 C) 50 D) 100 E) None

Solution: Explanation:   Average amount paid by 4 persons = Rs. 50   Increase in average due to Rs. 40 paid extra by the 5th men = Rs. 40/4= Rs. 10   Therefore, Average expenditure of 6 friends = Rs. 50 + Rs. 10 = Rs. 60   Therefore, Amount paid by the 6th men = Rs. 60 + Rs. 40 = Rs. 100   Correct Option: 100
Answer: D
A glass was filled with 40 ounces of water, and 0.01 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?	Choose one:
A) 0.005% B) 0.02% C) 0.5% D) 5% E) 20%

Solution: We are given that 0.01 ounces of water evaporated EACH DAY. Furthermore, we know that this process happened over a 20-DAY PERIOD. To calculate the total amount of water that evaporated during this time frame we need to multiply 0.01 by 20. This gives us:   0.01 x 20 = 0.2 ounces   Finally, we are asked for “What percent” of the original amount of water evaporated during this period. To determine this percentage, we have to make sure we translate the expression correctly. We can translate it to:   (Amount Evaporated/Original Amount) x 100%   (0.2/40) x 100%   = 0.5%   Answer 0.5%
Answer: C
If two resistors, A(R1) and B(R2) stand in parallel with each other in electrical wire, the total resistor appears as R1R2/(R1+R2). If three resistors, A(R1), B(R2), and C(2R2) stand in parallel in electrical wire, what is the ratio D of the resistors’ sum of A and C to the resistors’ sum of A and B?  Answers:
A) 2(R1+R2):(R1+2R2)
B) (R1+R2):(R1+2R2)
C) (2R1+R2):(R1+2R2)
D) 2(R1+R2):(2R1+R2)
E) 2(R1-R2):(R1+2R2)

Solution: two resistors A (r1) and B (r2).   total or sum of two resistors appear as   r1r2/r1+r2. It is looks like inversion of sum of rates.   1/r1+1/r2= r1+r2/r1r2.   same way sum of A(r1) and c(2r2)=1/r1+1/2r2   =2r2+r1/r12r2.   inversion rate = r12r2/2r2+r1.   ratio D of sum of a and c/sum of a and b=2r2r1/2r2+r1*r1+r2/r1r2   =2(r1+r2)/2r2+r1.2(R1+R2):(R1+2R2)
Answer: A
The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?	Choose the correct choice:	A) 456 kms	B) 482 kms	C) 552 kms	D) 556 kms	E) 500 kms

Solution: Explanation:   Total distance travelled in 12 hours =(35+37+39+.....upto 12 terms)   This is an A.P with first term, a=35, number of terms,   n= 12,d=2.   Required distance = 12/2[2 x 35+{12-1) x 2]   =6(70+23)   = 552 kms.   ANSWER IS 552 kms
Answer: C
The dimensions of a field are 20 m by 5 m. A pit 10 m long, 4 m wide and 3 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field. What will be the rise in the height of field as a result of this operation ?	Choices:	A) 1m	B) 5m	C) 4m	D) 2m	E) 3m

Solution: The volume of the earth removed is 10*4*3= 
10*4*3 = 120
120 m^3.   The remaining area of the field is   20*5 - 10*4= 
  20*5 - 10*4 = 60
60 m^2.   120 m^3 of the earth evenly spread over the area of 60 m^2 will rise the height by (height)= (volume)/(area) = 120/60= 
120/60 = 2
2 m.   Answer: 2m
Answer: D
79 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,073 bacteria each. How many bacteria are there approximately?	Choose the correct choice from the following choices.
A) 10^7 B) 10^9 C) 10^8 D) 10^10 E) 10^11

Solution: 79 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,073 bacteria each. How many bacteria are there approximately?   A. 10^7   B. 10^8   C. 10^9   D. 10^10   E. 10^11   -> Due to approximately, 79=80, 48=50, 25,073=25,000 are derived, which makes (79)(48)(25,075)=(80)(50)(25,000)=10^8. The answer is 10^8.
Answer: C
Each shelf of a bookcase contained 11 books. If the librarian took out 32 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 3 books, how many shelves does the bookcase have?	Choose the correct choice from the following choices.
A) 5 B) 6 C) 7 D) 8 E) 9

Solution: Let x be the number of shelves.   11x - 32 = 7(x-1) + 3   4x = 28   x = 7   The answer is 7.
Answer: C
Five kg of butter was bought by a shopkeeper for 300. One kg becomes unsaleable. He sells the remaining in such a way that on the whole he incurs a loss of 10%. At what price per kg was the butter sold?
Select: A) 67.5 B) 52.5 C) 60 D) 72.5 E) None of these

Solution: Let S.P. = x per kg   ∴ S.P. of 4 kg = 4x   ∴ 4x = 100−40/100×300   ⇒ x = 270⁄4 = 67.50   67.5nswer 67.5
Answer: A
If C = 2D+1 where C is an Integer then which of the following is true?	Answers
A) C is always Odd B) C is always Even C) C is a non multiple of 2 D) C= 1 E) C is even if D is a non integer and a multiple of 0.5

Solution: C is even if D is a non integer and a multiple of 0.5
Answer: E
A man can row upstream at 7kmph and downstream at 10kmph. Find man's rate in still water ?  Choose the most appropriate option
A) 8.5km/hr
B) 6.7km/hr
C) 5km/hr
D) 1.5km/hr
E) 2.6km/hr

Solution: Rate in still water = 1/2 (10+7) = 8.5km/hr   8.5km/hrnswer is 8.5km/hr
Answer: A
A man can row a boat at 20 kmph in still water. If the speed of the stream is 5 kmph, what is the time taken to row a distance of 60 km downstream?  Choose one:
A) 12/5 hours	B) 80/13 hours	C) 30/73 hours	D) 30/13 hours	E) 50/13 hours

Solution: Speed downstream = 20 + 5= 
20 + 5 = 25
25 kmph.   Time required to cover 60 km downstream= d/s = 60/25   = 12/5 hours.   12/5 hoursnswer:12/5 hours
Answer: A
In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together? Options.
A) 240
B) 340
C) 430
D) 450
E) 480

Solution: Total ways of arranging 7 person in a circle = 6! = 720 ways   If we consider two women as one, then we have   5+1= 
  5+1 = 6
6 persons. Arranging these six persons in circle will take= 5! = 120 ways   And two women can arrange themselves in 2! ways   Total ways in which two women sit together in circle = 5!*2! = 240 ways   Total ways in which two women doesn’t sit together in circle = 6! - 5!*2! = 720 - 240= 
720 - 240 = 480
480 ways   480
Answer: E
A man can do a piece of work in 5 days, but with the help of his son he can do it in 4 days. In what time can the son do it alone ?	Choices
A) 2 days
B) 6 days
C) 12 days
D) 20 days
E) None of these

Solution: Explanation:   In this type of question, where we have one person work and together work done. Then we can easily   get the other person work just by subtracting them. As   Son's one day work =   (1/4−1/5)=(5−4)/20=1/20   So son will do whole work in 20 days   Answer: 20 days
Answer: D
In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 6, and the ratio of flour to baking soda is 10 to 1. If there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. How many pounds of sugar are stored in the room?	Choose the most appropriate option:
A) 600	B) 1200	C) 1500	D) 1600	E) 2000

Solution: Sugar:Flour = 5:6 = 25:30;   Flour:Soda = 10:1 = 30:3;   Thus we have that Sugar:Flour:Soda = 25x:30x:3x.   Also given that 30x/(3x+60) = 8/1 --> x=80 --> Sugar = 25x = 2,000.   Answer: 2000.
Answer: E
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 30%? Select the correct option:
A) 20%
B) 29%
C) 70%
D) 27%
E) 5%

Solution: SP2 = 2/3 SP1   CP = 100   SP2 = 70   2/3 SP1 = 70   SP1 = 105   100 --- 105 => 5%   Answer: 5%
Answer: E