MU-NLPC/Calc-aqua_rat huggingface dataset:
Miguel is 50 years old. He is 5 years older than thrice his son’s age. Find the age of his son.	Answers.
A) 11years
B) 12years
C) 13years
D) 14years
E) 15years

Solution: sons age=x   50-3x=5   x=15years   ANSW15yearsR:15years
Answer: E
A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth.The percentage of decrease in area is :	Choose the correct choice from the following options
A) 13% B) 14% C) 18% D) 20% E) 28%

Solution: Let original length =x and original breadth =y.   Decrease in area =xy-(80/100*x*90/100*y)=(xy-18/25*xy)=7/25*xy.   Decrease% = (7/25*xy*1/xy*100)%=28%.   Answer is 28%
Answer: E
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit? Select:
A) 3000
B) 1230
C) 2000
D) 5600
E) 3400

Solution: C   C.P. be Rs. x.   Then, (1920 - x)/x * 100 = (x - 1280)/x * 100   1920 - x = x - 1280   2x = 3200 => x = 1600   Required S.P. = 125 % of Rs. 1600 = 125/100 * 1600 = Rs. 2000.
Answer: C
A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?  Choose the correct choice from the following answers:  A) 1/25  B) 2/21  C) 5/26  D) 3/41  E) 1/115

Solution: P(Both are red),   =65/262135/262=65/262135/262   =5/26   5/26
Answer: C
A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is B’s salary?  Choose one:	A) 777	B) 500	C) 789	D) 776	E) 881

Solution: (5/100) A = (15/100) 500   A = 3500   A + 500 = 2000   4500 = 2000 => 500 = 500   Answer 500
Answer: B
Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 450 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy) Choices.
A) 8/3	B) 2	C) 8/5	D) 5/8	E) 5/3

Solution: Distance traveled by Eddy = 450 km   Time taken by Eddy = 3 hours   Average speed of Eddy = 450/3= 
450/3 = 150
150 km/hour   Distance traveled by Freddy= 300 km   Time taken by Freddy = 4 hours   Average speed of Freddy = 300/4= 
300/4 = 75
75 km/hour   Ratio of average speed of Eddy to Freddy= 150/75= 
150/75 = 2
2   Answer 2
Answer: B
What is x if x + 2y = 10 and y = 3?  Choices:
A) 10
B) 8
C) 6
D) 4
E) 2

Solution: Substitute y by 3 in x + 2y = 10   x + 2(3) = 10   x + 6 = 10   If we substitute x by 4 in x + 6 = 10, we have 4 + 6= 
4 + 6 = 10
10.   x= 4   correct answer is 4) 4
Answer: D
A factory has a fixed cost of $35,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly? Choose the correct option
A) 9,000	B) 14,000	C) 18,000	D) 22,500	E) 27,000

Solution: selling price - Cost price = 2.5 so per unit profit =2.5   cost to recover =35000   no of items required = 35000/2.5= 
35000/2.5 = 14_000
14000   Ans 14,000
Answer: B
A deer is standing 60 meters in from the west end of a tunnel. The deer sees a train approaching from the west at a constant speed ten times the speed the deer can run. The deer reacts by running toward the train and clears the exit when the train is 15 meters from the tunnel. If the deer ran in the opposite direction it would barely escape out the eastern entrance just as the train came out of the eastern entrance. How long is the tunnel in meters?  Pick:
A) 125
B) 135
C) 145
D) 155
E) 165

Solution: Let x be the length of the tunnel.   When the deer runs 60 meters west, the train goes 600 meters to a point 15 meters from the west entrance of the tunnel.   When the deer runs east, the deer runs x-60 meters while the train goes x + 600 + 15 meters.   x + 600 + 15 = 10(x-60)   9x = 1215   x = 135 meters   The answer is 135.
Answer: B
The triplicate ratio of 1:4 is?	Pick:
A) 1:64  B) 1:62  C) 1:34  D) 3:64  E) 5:64

Solution: 1^3: 4^3 = 1:64   1:64NSWER:1:64
Answer: A
Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern?	Choose the correct answer:
A) 188	B) 100	C) 177	D) 268	E) 266

Solution: Work done by the third pipe in 1 min = 1/50 - (1/60 + 1/75) = - 1/100.   [-ve sign means emptying]   The third pipe alone can empty the cistern in 100 min.   Answer100
Answer: B
There are 3 questions in a question paper. If the questions have 4,3 and 2 solutions respectively, find the total number of solutions  Choose the correct choice from the following choices.
A) 24
B) 25
C) 30
D) 40
E) 54

Solution: Here question 1 has 4 solutions, question 2 has 3 solutions and question 3 has 2 solutions.   => By the multiplication (counting) rule,   Total number of solutions=4Ã—3Ã—2==4Ã—3Ã—2= 24   24NSWER 24
Answer: A
ram draws a card randomly among card 1-23 and keep it back.then sam draws a card among those.what is the prob than sam has drawn a card greatr than ram?
Choices:	A) 11/23	B) 12/23	C) 13/23	D) 14/23	E) 15/23

Solution: Sum of probability of drowing a card greater than drawn by ram is (22/23)+(21/23)+.....(1/23)=253/23   but probability for choosing 1 card out of 23 is 1/23   therefore total probability is (253/23)*(1/23)=(11/23)   11/23NSWER:11/23
Answer: A
Find at what time between 8 and 9 o'clock will the hands of a clock be in the same straight line but not together ?	Choose the correct choice from the following choices
A) 100/11 min past 8	B) 100/11 min past 9	C) 100/11 min past 2	D) 100/11 min past 1	E) 100/11 min past 5

Solution: Explanation:   In this type of problems the formulae is   x is replaced by the first interval of given time Here i.e 8   = min   Therefore the hands will be in the same straight line but not   together at min.past 8.   100/11 min past 8nswer: 100/11 min past 8) 100/11 min past 8
Answer: A
A train 410 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choose the correct choice from the following
A) 40
B) 87
C) 26
D) 21
E) 44

Solution: Speed = 45 * 5/18 = 25/2 m/sec   Total distance covered = 410 + 140= 
410 + 140 = 550
550 m   Required time= 550 * 2/25= 
550 * 2/25 = 44
44 sec   Answer:44
Answer: E
By selling an article at Rs.600, a profit of 25% is made. Find its cost price?	Options.
A) Rs.287 B) Rs.429 C) Rs.480 D) Rs.412 E) Rs.482

Solution: SP = 600   Rs.480P = (SP)*[100/(100+P)]   = 600 * [100/(100+25)]   = 600 * [100/125] = Rs.480   Answer:Rs.480
Answer: C
How many three letter words are formed using the letters of the word TIME? Pick:	A) 12	B) 14	C) 18	D) 24	E) 61

Solution: The number of letters in the given word is four.   The number of three letter words that can be formed using these four letters is ⁴P₃   = 4 * 3 * 2= 
4 * 3 * 2 = 24
24.   Answer:24
Answer: D
If chemistry book page and math book page ratio is 6:5.A child tore 25 page from chemistry book and 15 page from Math book.Now,ratio becomes 1:1.so,tell the initial no. of pages of chemistry. Choose the correct option.
A) 50	B) 60	C) 70	D) 80	E) 40

Solution: Chemistry pages=6x,Math pages=5x   6x-25/5x-15=1/1   6x-25=5x-15,6x-5x=10,x=10   chemistry pages=6x=60pages   answer 60
Answer: B
The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:  Answers:
A) 12
B) 16
C) 24
D) 48
E) 50

Solution: Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.   So, the numbers 12 and 16.   L.C.M. of 12 and 16 = 48.   answer :48
Answer: D
By selling 20 pencils for a rupee a man loses 30%. How many for a rupee should he sell in order to gain 30%? Choose the most appropriate option: A) 8.56 B) 10.75 C) 14.5 D) 16.5 E) 11.4

Solution: 70% --- 20   130% --- ?   70/130 * 20 = 10.75   Answer: 10.75
Answer: B
On a windy day, out of every 3 sand dunes formed, only 1 remains. Out of 5 blown-out
sand-dunes, 1 has treasure and only 2 out of 5 sand dunes formed have lucky coupons. Find
the probability that the blown-out sand dune will contain both the things.  Answers:	A) 2/25	B) 4/75	C) 7/75	D) 3/5	E) 4/5

Solution: Probabilty of sand dune blown out = 2/3   Probabilty that it has treasure = 1/5   Probability that it has lucky coupon = 2/5   total probability = 2/3 * 1/5 * 2/5 = 4/75   ANSWER:4/75
Answer: B
A car manufacturer sold 500 mini vans at $10000 each, 200 hatchbacks at $8000 each, and 220 sports utility vehicles at $18000 each. what percentage of the company's revenue is from the sale of sports utility vehicles?
Choose the correct choice from the following answers:
A) 27.5%
B) 50.4%
C) 37.5%
D) 29.7%
E) 39.5%

Solution: 37.5%orrect Answer: 37.5%   The company's total revenue from mini vans=500* $10000=$5 000 000   The company's total revenue from hatchbacks=200*$8000=$1 600 000   The company's total revenue from sports utility vehicles=220*$18000=$3 960 000   The combined total of all sales=$10560000   Therefore % of sports utility vehicles sales=3 960 000/10560000*100= 37.5%
Answer: C
A number x is 6 times another number y. The percentage that y is less than x is
Select.
A) 12.5%	B) 83.3%	C) 80.5%	D) 81%	E) 1%

Solution: Say y=1 and x=6.   Then y=1 is less than x=6 by (6-1)/6*100=5/6*100=83.3%.   Answer: 83.3%.
Answer: B
Rahul and Sham together can complete a task in 35 days, but Rahul alone can complete same work in 60 days. Calculate in how many days Sham can complete this work ?
Choose the correct choice from the following answers
A) 84 days
B) 82 days
C) 76 days
D) 68 days
E) 60 days

Solution: Explanation:   As Rahul and Sham together can finish work in 35 days.   1 days work of Rahul and Sham is 1/35   Rahul can alone complete this work in 60 days,   So, Rahul one day work is 1/60   Clearly, Sham one day work will be = (Rahul and Sham one day work) - (Rahul one day work)   =1/35-1/60   =1/84   Hence Sham will complete the given work in 84 days.   84 daysNSWER IS 84 days
Answer: A
7 teams compete in a track competition. If there are 12 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?
Choose the correct choice from the following:
A) 3	B) 4	C) 5	D) 6	E) 7

Solution: 3(max wins) x 4 = 12 (4 teams win three events)   The answer is 4.
Answer: B
A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in? Pick one
A) 40 days
B) 20 days
C) 30 days
D) 60 days
E) 40 days

Solution: 30 days   30 days   30 days = 1/5 – 1/6 = 1/30 => 30 days
Answer: C
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?	Choose the most appropriate option:	A) 54	B) 90	C) 64	D) 92	E) 98

Solution: Ans.(C)   Sol. In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (4 x 4 x 4) ways = 43 ways = 64 ways Or nr ways = 43 ways = 64 ways
Answer: C
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 16 sec. What is the length of the platform? Choose the correct choice from the following choices:
A) 287 m  B) 431.25 m  C) 267 m  D) 287.25 m  E) 656 m

Solution: Speed = 300/16 = 75/4 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/39 = 75/4   => x = 731.25 m   Answer:431.25 m (431.25)
Answer: B
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
Choose the most appropriate option
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: DS = 6   US = 4   S = ?   S = (6 - 4)/2= 
(6 - 4)/2 = 1
1 kmph   1nswer: 1
Answer: A
Ritesh and Co. generated revenue of Rs. 1,250 in 2006. This was 12.5% of its gross revenue. In 2007, the gross revenue grew by Rs. 2,500. What is the percentage increase in the revenue in 2007?	Choose one.
A) 12.5%	B) 20%	C) 25%	D) 50%	E) None of these

Solution: Explanation :   Given, Ritesh and Co. generated revenue of Rs. 1,250 in 2006 and that this was 12.5% of the gross revenue.   Hence, if 1250 is 12.5% of the revenue, then 100% (gross revenue) is:   =>(100/12.5)×1250.   =>10,000.   Hence, the total revenue by end of 2007 is Rs. 10,000. In 2006, revenue grew by Rs. 2500. This is a growth of:   =>(2500/10000)×100.   =>25%.   Answer : 25%
Answer: C
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 51 kmph, find the speed of the stream?
Choose the correct option:	A) 15	B) 17	C) 14	D) 18	E) 16

Solution: The ratio of the times taken is 2:1.   The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1)= 
(2+1)/(2-1) = 3
3/1= 
3/1 = 3
3:1   Speed of the stream= 51/3= 
51/3 = 17
17 kmph.   Answer:17
Answer: B
If a, b, and c are integer and ab + c is odd, which of the must be true?
I. a + c is odd
II. b + c is odd
III. abc is even Choose the correct choice from the following
A) I only
B) II only
C) III only
D) I and III only
E) II and III only

Solution: Personally I'd approach this question in another way.   ab+c=odd, means:   1. ab=even (which means that at least one of them is even) and c=odd   OR:   2. ab=odd (which means that both are odd) and c=even   We can see that in both cases at least one is even thus option III (abc=even) is always true.   Now, for I: if c=odd(case 1) and a=odd(so b=even) then a+c=even≠odd, so this option is not always true.   Exactly the same for option II: if c=odd (case 1) and b=odd (so a=even) then b+c=even≠odd, so this option is not always true.   Answer: III only (III only).
Answer: C
A number is missing from the number series below.
Can you find it ?
84, 155, 258, 399 ,?, 819.  Choose the correct choice:  A) 275  B) 350  C) 399  D) 584  E) 449

Solution: D   The missing number is 584.   84 = 4^3 + 3^2 + 4   155 = 5^3 + 5^2 + 5   258 = 6^3 + 6^2 + 6   399 = 7^3 + 7^2 + 7   819 = 9^3 + 9^2 + 9   Thus,   584 = 8^3 + 8^2 + 8
Answer: D
What is the lowest positive integer that is divisible by 8 through 11, inclusive?	Choose the correct choice from the following:
A) 999  B) 7811  C) 6555  D) 9200  E) 7920

Solution: The integer should be divisible by: 8, 9, 10 and 11. The least common multiple of these integers is LCM=8*9*10*11= 
8*9*10*11 = 7_920
7920   Answer: 7920
Answer: E
The sum of two numbers is 24 and their product is 148. Find the sum of the squares of that numbers.
Choose the correct choice from the following options.
A) 250	B) 280	C) 230	D) 290	E) 250

Solution: Let a and b be the two numbers(a+b)^2=a^2+2ab+b^2Given (a+b)=24ab=148 So, 24^2=a^2+b^2+2*148576=a^2+b^2+296a^2+b^2=280Ans 280
Answer: B
If 36 men can do a piece of work in 5 hours, in how many hours will15 men do it?  Choose the correct choice from the following options.
A) 12  B) 38  C) 60  D) 88  E) 72

Solution: Explanation:   Let the required no of hours be x. Then   Less men , More hours (Indirect Proportion)   \inline \fn_jvn \therefore 15:36 ::5:x \inline \fn_jvn \Leftrightarrow (15 x X)=(36 x 5) \inline \fn_jvn \Leftrightarrow \inline \fn_jvn x=\frac{36\times 5}{15}=12   Hence, 15 men can do it in 12 hours.   12nswer: 12) 12
Answer: A
In the formula X = 1/(2y+1)^2, if y is halved, then X is multiplied by	Choose the correct choice from the following:
A) 25/9
B) 25
C) 1/9
D) 1/25
E) 9

Solution: Say y=2 => X1 = 1/25   when y=1; X2 = 1/9   X2 = 25/9*X1.   25/9nswer : 25/9
Answer: A
If y ¤ d = y^(2d) for all positive integers, then (3 ¤ 4) ¤ 2 =
Options
A) 3^8 B) 3^12 C) 3^16 D) 3^24 E) 3^32

Solution: y ¤ d = y^(2d)   3 ¤ 4 = 3^(8)   (3 ¤ 4) ¤ 2 = (3^8) ¤ 2 = (3^8)^4 = 3^32   Correct Option: 3^32
Answer: E
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 78 km downstream? Choose the correct answer
A) 3 hours	B) 33/13 hours	C) 31/13 hours	D) 30/13 hours	E) 30/14 hours

Solution: Speed downstream = 20 + 6= 
20 + 6 = 26
26 kmph.   Time required to cover 78 km downstream= d/s = 78/26= 
78/26 = 3
3 hours.   3 hoursnswer:3 hours
Answer: A
A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year.	Choose the correct choice from the following options:
A) 100 rs
B) 150 rs
C) 160 rs
D) 180 rs
E) 200 rs

Solution: Gain in 2 years =   [(5000*6*2)/100]-[(5000*4*2)/100]    600-400= 
 600-400 = 200
200   Gain in 1 year=(200/2)= 
(200/2) = 100
100 rs   100 rsNSWER:100 rs
Answer: A
Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of the tickets sold, 35% were sold at half price and the remaining tickets were sold at the full price of $2. What was the total revenue from ticket sales?  Select:  A) $15,840  B) $17,820  C) $16,335  D) $19,800  E) $21,780

Solution: 10000 seats --> Full Price : Half Price = 6500 : 3500   Price when all seats are filled = 13000 + 3500= 
13000 + 3500 = 16_500
16500   100 seats are unsold --> Loss due to unfilled seats= 35 + 2*65= 
35 + 2*65 = 165
165   Revenue= 16500 - 165= 
16500 - 165 = 16_335
16335   Answer: $16,335
Answer: C
If -1 < a < 0, which of the following must be true? I. a^9 < a^4 II. a^3 < 1 – a III. a^6 < a^3  Pick:
A) I only	B) III only	C) I,II,III only	D) II only	E) I,III only

Solution: Answer : I,II,III only
Answer: C
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?	Select:	A) 65 km/hr	B) 17 km/hr	C) 76 km/hr	D) 50 km/hr	E) 15 km/hr

Solution: Speed of the train relative to man = 125/10 = 25/2 m/sec.   = 25/2 * 18/5= 
25/2 * 18/5 = 45
45 km/hr   Let the speed of the train be x km/hr. Then, relative speed= (x - 5) km/hr.   x - 5 = 45 => x = 50 km/hr.   Answer: 50 km/hr
Answer: D
In a class of 50 students, 20 play Baseball, 15 play Cricket and 11 play Football. 7 play both Baseball and Cricket, 4 play Cricket and Football and 5 play Baseball and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports? Pick one.
A) 10  B) 46  C) 67  D) 68  E) 446

Solution: Notice that7 play both Baseball and Cricket does not mean that out of those 7, some does not play Football too. The same for Cricket/Football and Baseball/Football.   [color=#ffff00]{Total}={Baseball}+{Cricket}+{Football}-{HC+CH+HF}+{All three}+{Neither}For more checkADVANCED OVERLAPPING SETS PROBLEMS   [/color]   50=20+15+11-(7+4+5)+{All three}+18 --> {All three}=2;   Those who play ONLY Baseball and Cricket are  7-2= 
 7-2 = 5
5;   Those who play ONLY Cricket and Football are  4-2= 
 4-2 = 2
2;   Those who play ONLY Baseball and Football are   5-2= 
  5-2 = 3
3;   Hence, 5+2+3=10 students play exactly two of these sports.   10nswer: 10.
Answer: A
The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the eldest boy?	Options.
A) 6
B) 9
C) 16
D) 4
E) 21

Solution: 3x + 5x + 7x = 45   x =3   7x = 21   Answer:21
Answer: E
A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and there by decreases his average by 0.4. The number age of the family now is:
Choose the correct choice.
A) 18	B) 17	C) 76	D) 85	E) 86

Solution: Let the number of wickets taken till the last match be x. Then,   (12.4x + 26)/(x + 5) = 12   = 12.4x + 26 = 12x + 60   = 0.4x = 34   = x = 340/4= 
340/4 = 85
85.   Answer: 85
Answer: D
The salary of a person was reduced by 10%. By what percent should his
reduced salary be raised so as to bring it at par with his original salary?  Choose the correct choice from the following choices: A) 100/9 B) 100 C) 110 D) 98 E) 100/11

Solution: Let the original salary be $100. New salary = $90.   Increase on 90=10 , Increase on 100=((10/90)*100)%   = (100/9)%   100/9nswer 100/9)100/9
Answer: A
the hiker walking at a constant rate of 5 miles per hour is passed by a cyclist traveling in the same direction along the same path at 20 miles per hour. the cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the cyclist wait until the hiker catches up? Choose one:
A) 15
B) 10
C) 20
D) 30
E) 35

Solution: After passing the hiker the cyclist travels for 5 minutes at a rate of 20 miles/hour.   In those 5 mins the cyclist travels a distance of 5/3 miles.   In those 5 mins the hiker travels a distance of 5/12 miles.   So the hiker still has to cover 15/12 miles to meet the waiting cyclist.   The hiker will need 1/4 hours or 15 mins to cover the remaining 15/12 miles.   So the answer is 15.
Answer: A
An insect leaps 60 centimeters in 1.5 seconds. What is its speed?	Select:
A) 9 centimeters per second
B) 0.9 meters per second
C) 4 meters per second
D) 0.4 meters per second
E) 4.4 centimeters per second

Solution: 60 / 1.5= 
60 / 1.5 = 40
40 cm/s= 0.4 m/s   The answer is 0.4 meters per second.
Answer: D
(1^2+2^2+3^2+.....+10^2)=?  Choose one
A) 330  B) 345  C) 365  D) 385  E) None of them

Solution: formula is (1^2+2^2+3^2+....+n^2=1/6 n(n+1)(2n+1)   n=10   =(1/6x10x11x21)   =385   Answer is 385.
Answer: D
Jill works as a waitress at the local diner where she earns an hourly wage of $5.00 per hour and a standard tip rate of 25% of the cost of the orders she serves. If she worked four 9-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week? Choose the most appropriate option:
A) 280	B) 300	C) 540	D) 350	E) 400

Solution: Jill earns 5 dollars/hour and the hourly tip is (1/4)*40.   Jill thus earns 5*9+9*10 per day(or 5(9)+10(9)=15(9)=135).   Jill has worked for 4 days -> 135*4=540.   This matches answer choice 540.
Answer: C
The result when a number subtracted from 100 is the same as the number added to 40. what is the number?
Pick one
A) 70  B) 65  C) 80  D) 140  E) 60

Solution: Answer   Let the number be x.   Then, x - 40= 100- x   â‡’ 2x = 100+ 40= 
100+ 40 = 140
140   â‡’ 2x= 140   âˆ´ x = 70   Correct Option: 70
Answer: A
In how many different number of ways 4 boys and 2 girls can sit on a bench such that girls always sit together. Choose the correct choice from the following answers.
A) A)720  B) B)240  C) C)740  D) D)780  E) E)790

Solution: 240   Option '240'
Answer: B
The length of a rectangle is one- sixth of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1296 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?	Choices:
A) 560 sq.units B) 360 sq.units C) 260 sq.units D) 460 sq.units E) 160 sq.units

Solution: Given that the area of the square = 1225 sq.units   => Side of square = √1296 = 36units   The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35= 
2/5 * 35 = 14
14 units   Given that breadth= 10 units   Area of the rectangle = lb = 36 * 10= 
36 * 10 = 360
360 sq.units   Answer:360 sq.units
Answer: B
Each child has 5 stickers and 8 candies. If there are 7 children, how many stickers are there in total?	Choose one
A) 12  B) 38  C) 48  D) 21  E) 35

Solution: 5*7= 
5*7 = 35
35.Answer is 35.
Answer: E
If r and s are two different prime numbers, which of the following cannot be true?  Choose the correct choice from the following answers:  A) rs is odd.  B) r + s is even.  C) r + s is odd.  D) rs is even.  E) r/s is an integer

Solution: A prime number is a positive integer with exactly two distinct positive divisors: 1 and itself. So, a prime number cannot be a multiple of another prime number. Which makes option E not possible (r/s=integer means that r is a multiple of s).   .   All other options are possible:   A. rs is odd --> r=3 and s=5;   B. r + s is even --> r=3 and s=5;   C. r + s is odd --> r=2 and s=3;   D. rs is even --> r=2 and s=3;   Answer: r/s is an integer
Answer: E