MU-NLPC/Calc-aqua_rat huggingface dataset:
In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way? Options:
A) 6 sec  B) 7 sec  C) 8 sec  D) 9 sec  E) 2 sec

Solution: T = 60/36 * 18/5= 
60/36 * 18/5 = 6
6 sec   6 secnswer:6 sec
Answer: A
How many distinct integer values of n satisfy the inequality||n-3| + 4| ≤ 17?	Select
A) 15 B) 16 C) 17 D) 18 E) 19

Solution: so i can write this as In-3I+4<=17   or In-3I<=13   so n can have -10 to 16 = 15 true values....   15
Answer: A
sue has 3 apples. Billy has 6 apples. If billy steals all of sues apples and eats 4 how many does he have left?	Select the correct option.
A) 2  B) 5  C) 6  D) 4  E) 8

Solution: 5 5
Answer: B
In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 60 per square m?
Choose the correct choice from the following answers:
A) Rs. 52000	B) Rs. 54000	C) Rs. 57000	D) Rs. 59000	E) Rs. 60000

Solution: Length (l) = 20 m, Breadth (b) = 15 m and Height (h) = 5 m   Total area of the hall to be covered with mat = 2(lb + bh + hl)   = 2(20 * 15 + 15 * 5 + 5 * 20)   =2(300 + 75 + 100)   = 2 * 475= 
2 * 475 = 950
950 sq. m   Total expenditure= 60 * 950   = Rs. 57000   Rs. 57000
Answer: C
Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
Choose the most appropriate option:
A) 28
B) 89
C) 36
D) 88
E) 26

Solution: Let the speed of each train be x m/sec.   Then, relative speed of the two trains = 2x m/sec.   So, 2x = (120 + 120)/12 => x = 10   Speed of each train = 10 m/sec.   = 10 * 18/5 =- 36 km/hr.   Answer: 36
Answer: C
What is the remainder when 42*49 is divided by 8?  Choose the correct choice.
A) 1	B) 2	C) 4	D) 5	E) 7

Solution: we can make use of the rule :   Remainder of { (a * b)/n}} = Remainder of (a/n) * Remainder of (b/n)   Here   Remainder of { 42 * 49)/8}} = Remainder of (42/8) * Remainder of (49/8) = 2 * 1= 
2 * 1 = 2
2   Answer :2
Answer: B
The remainder when Q=1+3+3^2+3^3+..........+3^200 is divided 13.  Choose the correct choice from the following options
A) 12  B) 7  C) 0  D) 5  E) 3

Solution: Q=1+3+3^2+3^3+..................+3^200   Is a Geometric progression having common ratio as '3' and number of terms as '201'.   Since Sum to n terms in GP = a(r^n-1)/(r-1)   where a=First term and r =common ration   Hence,   1*(3^201 -1 )/(3-1)   Rem of (3^201-1)/2 divided by 13   3^201 -1 /26   WKT, 3^3 = 27 = 26+1   {(26+1)^67 - 1}/26   {1-1}/26   =>0.0
Answer: C
A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.3025 in 3 years. Find the rate percent?
Choose the correct choice from the following options.
A) 11 B) 10 C) 28 D) 25 E) 82

Solution: Explanation:   2420 --- 605   100 --- ? => 25%   Answer: Option 25
Answer: D
Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 1 muffins remained. How many guests did Monica plan on?
Select the correct option.
A) 3.
B) 4.
C) 5.
D) 6.
E) 7.

Solution: Let x be the number of guests.   Number of muffins prepared = 5x + 2   Number of muffins eaten + Number of muffins remaining = Number of muffins prepared   6(x - 1) + 1 = 5x + 2   6x - 5 = 5x + 2   x = 7   Answer: 7.5  + 2= 
5  + 2 = 7
7   Answer: 7.
Answer: E
Nine children — A, B, C, D, E, F, G, H, and I — are going to sit in nine chairs in a row. Child C must be somewhere to the left of child D. How many possible configurations are there for the children? Choose the correct answer.
A) 155,880 B) 164,770 C) 173,660 D) 181,440 E) 192,550

Solution: The number of ways to seat 9 people is 9! = 362,880.   Child C will sit to the left of Child D in exactly half of these arrangements.   The total number of possible arrangements is 362,880/2 = 181,440   The answer is 181,440.
Answer: D
A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.42 per bag, and 25-pound bags $32.25	per bag. If a customer is to buy at least	65 pounds of the grass seed,	but no more than 80 pounds,	what is the least possible cost of the grass seed that the customer will buy?  Choose the correct choice.
A) $94.03 B) $96.75 C) $98.78 D) $98.77 E) $105.3

Solution: there can be 2 cases   1)25+25+10+5=$98.77 or   2)25+25+25=$96.75   $98.77
Answer: D
A 300 metre long train crosses a platform in 39 seconds while it crosses a post in 18 seconds. What is the length of the platform? Choose the correct choice from the following
A) 300m	B) 200m	C) 250m	D) 350m	E) 400m

Solution: Length of the train = distance covered in crossing the post = speed × time = speed × 18   Speed of the train = 300/18 m/s = 50/3 m/s   Time taken to cross the platform = 39 s   (300+x)/(50/3) = 39 s where x is the length of the platform   300+x = (39 × 50) / 3 = 650 meter   x = 650-300= 
650-300 = 350
350 meter   Answer is 350m.
Answer: D
Of the 150 employees at company X, 70 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year? Select the correct option:
A) 20
B) 40
C) 50
D) 80
E) 100

Solution: 150 employees   70 are full-time   100 have worked at company X for at least a year   20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year.   How many full-time employees of company X have worked at the company for at least a year?   150-70= 
150-70 = 80
80 employees not full time   80-20= 
80-20 = 60
60 employees not full time who worked over a year   100 employees have worked at company X for at least a year-60 employees not full time who worked over a year= 40 full-time employees of company X have worked at the company for at least a year   ans 40
Answer: B
Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 6300
interest only for the period. The principal amount borrowed by her was  Select the correct option:
A) Rs. 2000
B) Rs. 17500
C) Rs. 15000
D) Rs. 20000
E) None of these

Solution: Explanation :   Principal = Rs. (100×6300 / 12×3)   => Rs. 17500.   Answer : Rs. 17500
Answer: B
A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?  Choices:
A) 11	B) 18	C) 44	D) 13	E) 19

Solution: π (152 - 132) = 176   176 * 1/4   = Rs.44   Answer: 44
Answer: C
Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 for 5 months; C 35 cows for 4 months and D 21 cows for 3 months. If A's share of rent is Rs. 360, find the total rent of the field. Choose the most appropriate option: A) 3750 B) 1625 C) 4250 D) 2250 E) 3250

Solution: Ratio of shares of A, B, C, D = (24 x 3) : (10 x 5) : (35 x 4) : (21 x 3) = 72 : 50 : 140 : 63.   Let total rent be Rs. x. Then, A’s share = Rs. (72x)/325   (72x)/325=360 = x=(360 x 325)/72 = 1625   Hence, total rent of the field is Rs. 1625.   Answer is 1625.
Answer: B
In how many different number of ways a combination of 3 boys and 2 girls can be selected from 6 boys and 5 girls.
Choose the correct choice
A) 20  B) 40  C) 46  D) 48  E) 50

Solution: 6C3   = 6!/(3! . 3!)   = (6 × 5 × 4)/(3 × 2)   = 5 × 4 = 20.   20)
Answer: A
Into a dark room there are 16 beverage bottles: 12 of them are black and 4 of them are green, placed randomly. What is the probability to choose two of different color, if I go twice to the dark room to seek for a bottle?	Select the correct option:
A) 1/8
B) 1/16
C) 1/25
D) 1/5
E) 2/5

Solution: We are told that we have 16 bottles, 12 black and 4 green. The bottles are picked up simultaneous and randomly, B1 and B2, in different colors. There are two acceptable outcomes: 1) B1 is black and B2 is green; 2) B1 is green and B2 is black. Let's go: 1) B1 = (12/16)(4/15)= 1/5 chance of this happening. 2) B2 = (4/16)(12/15) = 1/5 chance of this happening. Then: (1/5)+(1/5)= 2/5, chance of getting the result that you wanted. Answer 2/5.
Answer: E
90% of the population of a village is 36000. The total population of the village is?  Choose the correct choice from the following
A) 26799  B) 24000  C) 26682  D) 29973  E) 40000

Solution: X * (90/100) = 36000   X = 400 * 100= 
400 * 100 = 40_000
40000   Answer: 40000
Answer: E
Which of the following has 150^8 as a factor? Choose the correct choice from the following:	A) 150^6	B) 300^4	C) 400^8	D) 600^6	E) 900^8

Solution: Here 150^8 = 30^8 * 50^8 Only Option E has both .   Smash 900^8
Answer: E
A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 9 days, how long will a woman take to complete the work?	Pick one:	A) 12days	B) 15days	C) 16days	D) 24days	E) 18days

Solution: Explanation:   (1 Man + 1 woman + 1 boy)’s 1day’s work = 1/3   1 man’s 1 day work = 1/6   1boy’s 1 day’s work = 1/9   (1 Man + 1 boy) ‘s 1 day’s work = 1/6 + 1/9 = 5/18   Therefore, 1 woman’s 1 day’s work = 1/3 – 5/18 = 1/18   Therefore, the woman alone can finish the work in 18 days.   Answer: Option 18days
Answer: E
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is:	Choose the correct choice from the following answers.
A) 8408	B) 8402	C) 8400	D) 2888	E) 84198

Solution: Ratio of their shares = 22500 : 35000 = 9:14   Deepak's share = 13800 * 14/23 = Rs. 8400.   Answer: 8400
Answer: C
A AND B CAN TOGETHER FINISH A WORK IN 30 DAYS. THEY WORKED TOGETHER FOR 20 DAYS AND THEN B LEFT. AFTER ANOTHER 20 DAYS, A FINISHED THE REMAINING WORK. IN HOW MANY DAYS A ALONE CAN FINISH THE JOB?  Choose the correct choice from the following
A) 40  B) 50  C) 54  D) 60  E) NONE OF THESE

Solution: (A+B)'S 20 DAYS WORK=(1/30*20)=2/3. REMAINING WORK=(1-2/3)=1/3.   NOW, 1/3 WORK IS DONE BY A IN 20 DAYS.   WHOLE WORK WILL BE DONE BY A IN   (20*3)= 
  (20*3) = 60
60 DAYS.   CORRECT OPTION:60
Answer: D
Set P consists of integers {3, -8, Y, 19, -6} and set B consists of integers {k, -3, 0, 16, -5, 9}. Number L represents the median of set P, number M represents mode of set B and number Z = L^M. If Y is an integer greater than 21, for what value of k will Z be a divisor of 26? Choose the correct choice from the following answers
A) -2	B) -1	C) 0	D) 1	E) 2

Solution: P = {3,-8,Y,19,-6}   B = {k,-3,0,16,-5,9}   Y > 21   So L = Median of P = 3   M = Mode of Set B   Z = (3)^M   If Z is a divisor of 26, (3)^M = 1 because 26 does not have 3 as a factor   => M = 0   Hence k = 0, as M is mode and 0 will be the most frequently occuring number in set B.   Answer - 0
Answer: C
A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?  Choose the most appropriate option
A) 288 km B) 188 km C) 600 km D) 388 km E) 188 km

Solution: D = 30 * 5= 
30 * 5 = 150
150   RS= 40 – 30 = 10   T = 150/10= 
150/10 = 15
15   D= 40 * 15= 
40 * 15 = 600
600 km   Answer:600 km
Answer: C
What sum of money put at C.I amounts in 2 years to Rs.8800 and in 3 years to Rs.9261?  Choose the correct option:
A) 7945	B) 8877	C) 2877	D) 2678	E) 1011

Solution: 8800 ---- 461   100 ---- ? => 5.238%   x *105.238/100 * 105.238/100 = 8800   x*1.1075=8800   x=8800/1.1075 => 7945.70   7945nswer: 7945
Answer: A
An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 16%. How much will an air-conditioning unit cost in November?	Choose the correct choice from the following.
A) $458	B) $470	C) $472	D) $484	E) $491

Solution: Price after discount and again raising by 16%= 470 * 82/100 * 116/100   We don't really need to multiply the whole expression. The units digit of this expression will be '8' , and only option A has 8 as units digit.   Hence $458 is the answer
Answer: A
One side of a rectangular field is 15m and one of its diagonal is 17m. Find the area of field? Select:
A) 110
B) 120
C) 130
D) 140
E) 150

Solution: Other side = [(17 x 17) - (15 x 15)] = (289 - 225) = 8m   Area = 15 x 8 =120 sq. m ANSWER :120
Answer: B
If a > 1, which of the following is equal to (2a - 6)/(a^2 - 4a + 3)?  Pick one.
A) a B) 2/(a - 1) C) a + 3 D) 2a/(a - 3) E) (a - 1)/2

Solution: Here's the algebraic approach:   (2A - 6)/(A^2 + 2A - 3) can be rewritten as...   2(A -3)/(A-3)(A-1)   We can simplify the fraction, which leaves us with...   2/(A-1)   Ans : 2/(a - 1)
Answer: B
At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number Q of different possible seating arrangements for the group?
Answers: A) 5 B) 10 C) 24 D) 32 E) 120

Solution: 24ircular arrangements= (n-1)!   Hence (4!) = 24=Q   Answer is 24
Answer: C
In a box of 9 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective? Choose the correct choice from the following answers
A) 2/9  B) 3/10  C) 4/11  D) 5/12  E) 6/13

Solution: # defective pens = 3   # good pens = 6   Probability of the 1st pen being good = 6/9   Probability of the 2nd pen being good = 5/8   Total probability = 6/9 * 5/8 = 5/12   The answer is 5/12.
Answer: D
90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 40% of the total school population of x students, what is x?	Choose the correct option.
A) 125
B) 150
C) 225
D) 250
E) 500

Solution: 90 = (x/100)*(# boys)   # boys = .4x   substitute and solve:   90 = (x/100)*(.4x)   9000 = .4(x^2)   25000 = x^2   x=150   Answer: 150
Answer: B
What is the radius of a circle that has a circumference of 3.14 meters?
Choose the correct option.
A) 2.5
B) 2
C) 1.5
D) 1
E) 0.5

Solution: Circumference of a circle = 2πr.   Given, circumference = 3.14 meters.   Therefore,   2πr = Circumference of a circle   or, 2πr = 3.14.   or, 2 ? 3.14r = 3.14,[Putting the value of pi (π) = 3.14].   or, 6.28r = 3.14.   or, r = 3.14/6.28.   or, r = 0.5.   Answer: 0.5 meter.   correct answer 0.5
Answer: E
Find the cost of 96 shares of $ 10 each at (3/4) discount, brokerage being (1/4) per share.  Choose the correct choice from the following answers.
A) 1012 B) 912 C) 412 D) 812 E) 712

Solution: Cost of 1 share = $ [(10-(3/4)) + (1/4)] = $ (19/2).   Cost of 96 shares = $ [(19/2)*96= 
(19/2)*96 = 912
$ 912.   Answer 912.
Answer: B
We define that K@J is the product of j number from k in increasing order for positive integers K, J. For example, 6@4=6*7*8*9. If A=2020and B=2120, what is the value E of the ratio A/B?	Answers:	A) 1/2	B) 1/3	C) 2/3	D) 1/4	E) 1/5

Solution: E-> A/B=20*21*……*39/21*22*….*39*40=20/40=1/2.   Therefore, the answer is 1/2.
Answer: A
A certain computer manufacturing firm last year produced 80 percent of its computers using parts made by its subsidiary company. If the remaining 10,000 computers were produced using parts purchased from another parts manufacturer, how many computers were produced by the computer manufacturing firm altogether?  Choose the correct choice from the following answers:
A) 60000	B) 60100	C) 60500	D) 50000	E) 70000

Solution: 80% parts used of subsidary company, so 20% parts used of other companies.   Now, 20% parts = 10,000 computers   So, 1% parts = 10,000/20   Or, 100% parts = 50,000 computers.   Hence answer is (50000)
Answer: D
A woman has two blouses of different colors, two skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
Options:
A) 6 B) 12 C) 16 D) 17 E) 18

Solution: total ways = 2*2*2=8..   now its better to find the ways in which the pink blose and green skirty are together and subtract from total to get the answer..   the ways in which the pink blose and green skirty are together=1*1*2=2..   total ways =8-2=6..   6
Answer: A
it cost a colege 0.70 rs a copy to produce for the homecome football game..if 15000rs are recived for advertisement, homw many copies at .50rs a copy must b sold to make a profit 8000rs/-?  Select the correct option.
A) 320000  B) 340000  C) 250000  D) 350000  E) 370000

Solution: If x copies are to be made, then   0.5x + 15000 = 0.7x+8000   0.2x = 7000   x= 100*7000/2= 
100*7000/2 = 350_000
350000   ANSWER:350000
Answer: D
Darcy lives 1.5 miles from work. She can walk to work at a constant rate of 3 miles per hour, or she can ride the train to work at a constant rate of 20 miles per hour. If she rides the train, there is an additional x minutes spent walking to the nearest train station, waiting for the train, and walking from the final train station to her work. If it takes Darcy a total of 20 more minutes to commute to work by walking than it takes her to commute to work by riding the train, what is the value of x?
Select the correct option
A) 5.5	B) 15	C) 25.5	D) 30	E) 60

Solution: The time it takes Darcy to walk to work is (1.5/3)*60= 
(1.5/3)*60 = 30
30 minutes   The time it takes Darcy to take the train is (1.5/20)*60 + x= 4.5 + x minutes   It takes 15 minutes longer to walk, so 30 = 4.5 + x + 20   x=5.5 minutes   5.5nswer: 5.5
Answer: A
90% of the population of a village is 23040. The total population of the village is ? Choose the correct choice from the following options
A) 32256  B) 24000  C) 24936  D) 25600  E) None

Solution: Answer   ∵ 90% of P = 23040   ∴ P = (23040 x 100) / 90 = 25600   Correct Option: 25600
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 30 seconds. What is the length of the train?	Choose the correct choice from the following answers.
A) 500 m	B) 620 m	C) 872 m	D) 150 m	E) 765 m

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train   = (Speed x Time) = (50/3 * 30)= 
(50/3 * 30) = 500
500 m.   500 mnswer: 500 m
Answer: A
If 15 men, working 9 hours a day, can reap a field in 16 days, in how many
days will 18 men reap the field, working 8 hours a day?
Choose the correct choice from the following.
A) 20 day B) 16 day C) 14 day D) 10 day E) 15 day

Solution: Let the required number of days be x.   More men, Less days (indirect proportion)   Less hours per day, More days (indirect proportion)   Men 18 : 15   Hours per day 8: 9 } : :16 : x   (18 x 8 x x)=(15 x 9 x 16) x=(44 x 15)144 = 15   Hence, required number of days = 15.   Answer is 15 day
Answer: E
A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.241 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum. Choose the correct choice from the following answers.
A) 12200  B) 11897  C) 18799  D) 10000  E) 12782

Solution: P(11/10)^4 - P(6/5)^2 = 241   P = 10000   Answer: 10000
Answer: D
A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age three years back was?  Answers
A) 10 years
B) 12 years
C) 14 years
D) 16 years
E) 18 years

Solution: Let the son's present age be x years. Then, (38 - x) = x   2x = 38.   x = 19.   Son's age 3 years back (19 - 3)= 
(19 - 3) = 16
16 years.   16 years
Answer: D
A man walks at a speed of 3 km/hr and runs at a speed of 9 km/hr. How much time will the man require to cover a distance of 18 km, if he completes half of the distance, i.e., (9) km on foot and the other half by running? Choose the correct choice from the following:
A) 4 B) 5 C) 6 D) 8 E) 9

Solution: Required time = (9)/3 + (9)/9= 
(9)/3 + (9)/9 = 4
4 hours.   4nswer:4
Answer: A
Raj invested in Indigo, HUL and SBI shares at Rs. 300, Rs. 200 and Rs. 5 per share, 100 shares for Rs. 10000. The number of Indigo and HUL shares he bought are respectively  Choose the correct answer.
A) 15, 25 B) 23, 17 C) 17, 23 D) 17, 60 E) 17, 70

Solution: let the number of shares of indigo , hul and sbi be x,y and z respectively.   according to the condition total number of shares are 100 i.e x+y+z=100 and total amount is 10000 i.e   it is equal to the sum of the amounts of x shares of indigo(300 rs) , y shares of hul(200 rs) and z shares of sbi (5 rs) i.e 300x+200y+5z=10000 ........on so;ving the above two equations ,we finally get 295x+195y=9500 (z term is to be cancelled by solving since we only need x(indigo) and y(hul)). by substituting options in the final equation we can check the answers ....i.e x=17 and y= 23   ANSWER:17, 23
Answer: C
If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 5 (B + G) is ?  Options:	A) Equal to 3	B) Less than 3	C) More than 3	D) Less than 1/3	E) none of these

Solution: Let number of boys = x   Let number of girls = y   Therefore x/y = B and y/x = G   5(B + G) = 5[(x/y) + (y/x)] = 5[(x2 + y2)/xy] > 5   ANSWnone of theseR:none of these
Answer: E
A cube of edge 6 cm is cut into cubes each of edge 2 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to:  Choose the correct option: A) 1:9 B) 1:225 C) 1:52 D) 1:522 E) None

Solution: Sol.   Required ratio = 6 * 2 * 2 / 6 * 6 * 6 = 1/9 = 1:9.   1:9nswer 1:9
Answer: A
X and Y together do a piece of work in 8 days. If X alone can do the same work in 12 days, then Y alone can do the same work in? Choose the correct answer: A) 15 days B) 20 days C) 24 days D) 30 days E) 23 days

Solution: B = 1/8-1/2 = 1/24   ==>24 days   ANSWER 24 days
Answer: C
In a survey of parents, exactly 5/6 of the mothers and 3/4 of the fathers held full-time jobs. If 40 percent of the parents surveyed were women, what percent of the parents did not hold full-time jobs? Select the correct option
A) 10%  B) 12%  C) 15%  D) 18%  E) 22%

Solution: Fathers without full-time jobs are 1/4*3/5 = 3/20 of all the parents surveyed.   Mothers without full-time jobs are 1/6*2/5 = 1/15 of all the parents surveyed.   The percent of parents without full-time jobs is 3/20 + 1/15 = 13/60 which is about 22%   The answer is 22%.
Answer: E
A bag of potatoes weighs 39 lbs divided by half of its weight. How much does the bag of potatoes weight?	Choose the correct answer:
A) 20 lb  B) 30 lb  C) 10 lb  D) 13 lb  E) 5 lb

Solution: Sol.   39÷3 = 13.   Answer : 13 lb
Answer: D
A cuboid of dimension 24cm x 9cm x 8 cm is melted and smaller cubers are of side 3 cm is formed.find how many such cubes can be formed ?
Choose the correct choice from the following choices:  A) 64  B) 56  C) 48  D) 40  E) 47

Solution: Explanation:   Volume of cuboid = (24 x 9 x 8) cm = 1728 cu.cm   Volume of small cube = (3 x 3 x 3) cm = 27 cu.cm   So,   No. of small cubes formed = 1728/27= 
1728/27 = 64
64.   64NSWER IS 64
Answer: A
Rahul went to a shop and bought things worth Rs. 25, out of which 42 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?  Pick one.
A) 17.7 B) 19.7 C) 19.9 D) 21.7 E) 22.8

Solution: Total cost of the items he purchased = Rs.25   Given that out of this Rs.25, 42 Paise is given as tax   => Total tax incurred = 42 Paise = Rs.42/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (25−30/100−x)6/100 = 42/100   ⇒ 6(25 −0.3 −x) = 42   ⇒ (25 − 0.3 − x) = 7   ⇒ x = 25 − 0.3 − 7 = 17.7   17.7)
Answer: A
A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 7 buckles is how many times that of 5 buckles and 6 buttons?  Select.
A) 1/2  B) 2/3  C) 3/4  D) 4/5  E) 5/6

Solution: Let x be the weight of a button and let y be the weight of a buckle.   2x + 2y = (1/3)(3x+11y)   3x = 5y   x = 5y/3   3x + 7y = a(6x+5y)   12y = a(15y)   a = 12/15 = 4/5   The answer is 4/5.
Answer: D