MU-NLPC/Calc-aqua_rat huggingface dataset:
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 60%? Choose the correct choice from the following choices.
A) 800 B) 882 C) 772 D) 652 E) 271

Solution: Cost price = Rs.500   profit = 60% of 500 = Rs.300   Selling price = Cost price + Profit   = 500 + 300= 
500 + 300 = 800
800   800nswer:800
Answer: A
A trader cheats both his supplier and customer by using faulty weights. When he buys from the supplier, he takes 10% more than the indicated weight. When he sells to his customer, he gives the customer a weight such that 30% of that is added to the weight, the weight claimed by the trader is obtained. If he charges the cost price of the weight that he claims, find his profit percentage.	Choose the correct choice from the following
A) 20%	B) 43%	C) 99.33%	D) 75.109%	E) 47%

Solution: Anyways, one can infer that he 'steals' 10% from suppliers and then charges 30% extra to customers   So basically 1.1 * 1.3= 
1.1 * 1.3 = 1.43
1.43   Given that 1 is start point, we get 43% more   Hence answer is 43%
Answer: B
Fox jeans regularly sell for $10 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans?
Choose the most appropriate option:
A) 9%  B) 10%  C) 11%  D) 12%  E) 40%

Solution: x discount on Pony jeans, (0.22-x) discount on Fox jeans.   Set the equation: 3*10(0.22-x)+2*18x=9 --> x=0.4=40%   Answer: 40%.
Answer: E
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?	Choose the correct answer.
A) 39 B) 37 C) 342 D) 288 E) 261

Solution: 400*(90/100)*(95/100)= 
400*(90/100)*(95/100) = 342
342   Answer: 342
Answer: C
John must arrange 3 different physics books and 4 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?  Choose the correct answer
A) 6  B) 9  C) 36  D) 120  E) 144

Solution: First Place, is reserved for Math book. There are 3 Math books which can be arranged in3 ways   Restriction comes into playhysics book cannot be together. Hence, the maththe physics books take alternate places   Second Place, Physics Book - in 4 ways   Third Place, Math Book - in 2 ways (only 2 books left)   Fourth Place, Physics - in 2 ways (only 2 Physics book left)   Rest two places can be arranged in one way only.   Total no of ways = 4*3*3*2*2*1*1= 
4*3*3*2*2*1*1 = 144
144 ways   144
Answer: E
A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively.	Pick:
A) 200, 360,162
B) 200, 460,160
C) 200, 360,160
D) 200, 360,138
E) 200, 360,129

Solution: Explanation:   let ratio be x.   Hence no. of coins be 5x ,9x , 4x respectively   Now given total amount = Rs.206   => (.50)(5x) + (.25)(9x) + (.10)(4x) = 206   we get x = 40   => No. of 50p coins = 200   => No. of 25p coins = 360   => No. of 10p coins = 160   Answer: 200, 360,160)
Answer: C
If (A-B-C+D = 18) and (A+B-C-D = 4), what is the value of (B-D)^2?
Select: A) 49. B) 8. C) 12. D) 16. E) 64.

Solution: EQ1: 49. - B - C + D = 18   EQ2: 49. + B - C - D = 4   (1) Subtract EQ1 from EQ2   49. - B - C + D = 18   - 49. +B - C - D = 4   ------------------------   -2B + 2D = 14   (2) Simplify   -B + D = 7   B - D = -7   (B-D)^2 = (-7)^2 = 49   My answer: 49.
Answer: A
A vendor sells 60 percent of the apples he had and throws away 40 percent of the remainder. The next day, the vendor sells 50 percent of the remaining apples and throws away the rest. In total, what percent of his apples does the vendor throw away? Choose the most appropriate option:
A) 24  B) 26  C) 28  D) 30  E) 32

Solution: Let x be the original number of apples.   On day one, the vendor throws away (0.4)(0.4)x=0.16x.   The remaining apples are (0.6)(0.4)x = 0.24x.   On day two, the vendor throws away (0.5)(0.24)x=0.12x.   The vendor throws away a total of 0.16x + 0.12x = 0.28x.   The vendor throws away 28 percent of the apples.   The answer is 28. 0.16  + 0.12= 
 0.16  + 0.12 = 0.28
0.28x.   The vendor throws away 28 percent of the apples.   The answer is 28.
Answer: C
A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many science books were there at the starting?	Choose the correct choice from the following answers.
A) 700  B) 750  C) 780  D) 800  E) 820

Solution: science books sold = 2x × 0.2 = 0.4x   science books unsold = 2x – 0.4x = 1.6x   art books sold = 5x × 0.2 = x   art books unsold = 5x – x = 4x   total books unsold = 1.6x + 4x = 5.6x   5.6x 1.6  + 4= 
1.6  + 4 = 5.6
5.6x   5.6x= 2240   x = 400   2x science = 800   800
Answer: D
A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube?	Choose the correct choice:
A) 8p
B) pq
C) pq + 27
D) -p
E) (p - q)^6

Solution: A. since p is a perfect cube and 8 is a perfect cube, 8p will be a perfect cube. reject.   B. since p is a perfect cube and q is a perfect cube, pq will be a perfect cube. reject.   C. Hold.   D. since p is a perfect cube, -p will also be a perfect cube. reject.   E. (p-q)^6, is a perfect cube, so reject.   By elimination C is the answer.   Check say p = 1, q=8, then 8+27= 
8+27 = 35
35 --> not a perfect cube.   ANSWER:pq + 27
Answer: C
find value for x from given equation? x + 1 = -3  Choose the most appropriate option:
A) 1
B) -4
C) -3
D) -5
E) 5

Solution: 1. Subtract 1 from both sides:   x + 1 - 1 = -3 - 1   2. Simplify both sides:   x = -4   -4
Answer: B
If n is a positive integer, which of the following is a possible value of |71 - 5n| ?	Select the correct option
A) 7  B) 5  C) 19  D) 15  E) 20

Solution: When 71>5n, then |71- 5n| = 71- 5n = (70-5n) + 1 = {multiple of 5} + 1   When 71<=5n, then |71 - 5n| = -(71- 5n) = (5n-70) - 1 = {multiple of 5} - 1   So, the correct answer must be 1 greater or 1 less than a multiple of 5. Only C fits.   Answer: 19
Answer: C
SI on a certain sum of money for 3 yrs at 8 percent /annum is 1/2 the CI on Rs.4000 for 2 yrs at 10 percent/ annum. The sum placed on SI is?  Choose the correct choice from the following choices
A) Rs. 1600
B) Rs. 1650
C) Rs. 1750
D) Rs. 1800
E) Rs. 1900

Solution: C.I.   = Rs. 4000 x 1 +	10 2	- 4000   100   = Rs. 4000 x	11	x	11	- 4000   10	10   = Rs. 840.   Sum = Rs. 420 x 100 = Rs. 1750.   3 x 8   Rs. 1750
Answer: C
The sum of two numbers is 40 and their product is 300. What will be the sum of their reciprocals?
Options:	A) 1/40	B) 8/75	C) 75/4	D) 2/15	E) 75/6

Solution: (1/a)+(1/b)=(a+b)/ab=40/300=2/15   ANSWER:2/15
Answer: D
The length of a rectangle is four times its width. If the area is 100 m2 what is the length of the rectangle? Choose the correct answer.
A) 50 m
B) 40 m
C) 80 m
D) 20 m
E) 70 m

Solution: Let L be the length and W be the width of the rectangle. Hence   L = 4 W   We now use the area to write   100 = L ? W   Substitute L by 4 W in the equation above   100 = 4 W ? W = 4 W2   Solve for W and find L   4 W2 = 100   W2 = 25 , W = 5 and L = 4 W = 20 m   correct answer 20 m
Answer: D
There are 15 boys and 10 girls in a class. If three students are selected at random, in how many ways that 1 girl or 2 boys are selected ? Answers
A) 100 B) 105 C) 115 D) 120 E) 125

Solution: n(s) = sample space = 251153 = 2300   E = event that 1 girl and 2 boys are selected   n(E) = we have to select 2 boys from 15 or 1 girl from 10   = 151152 + 101151   = 115   Ans - 115
Answer: C
A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?
Pick one.
A) 30000
B) 66000
C) 53000
D) 20000
E) 45000

Solution: D   20000   Let the total worth of the stock be Rs. x.   The SP of 20% of the stock = 1/5 * x * 1.1 = 11x/50   The SP of 80% of the stock = 4/5 * x * 0.95 = 19x/25 = 38x/50   Total SP = 11x/50 + 38x/50 = 49x/50   Overall loss = x - 49x/50 = x/50   x/50 = 400 => x = 20000
Answer: D
In a plastic company, 14 men working 8 hrs per day complete a piece of work in 12 days. To complete the same work in 6 days, working 14 hours a day, the number of men required is : Pick.
A) 16
B) 8
C) 12
D) 20
E) 22

Solution: Explanation :   Solution: Let the required number of men be x.   Less days, more men (Indirect proportion)   more working hrs per day, less men (Indirect proportion)   days 6 : 12   } : : 14 :x   working hrs 14 : 8   .'. 6*14*x = 12*8*14 \   => x =16.   16nswer : 16
Answer: A
Five friends, Peter, Eric, Melyssa, Tony, and Carl, are pooling their money to buy a $1300 item. Peter has twice as much money as Melyssa. Tony has $60 more than Peter. Carl has 20% more than Tony and Eric has twice as much as Peter. If they put all their money together and spend the $1300, they will have $38 left. How much money does Peter have?  Choose the correct choice from the following options: A) $300 B) $270 C) $320 D) $350 E) $220

Solution: P= 2M ; T= P+60 ; C= 1.2(T); P=($220/2)   P+M+T+C+$220-1300=38   P+0.5P+P+60+1.2(P+20)+2P = 1338   P+0.5P+P+60+1.2P+24+2P = 1338   P+0.5P+P+1.2P+2P+84 = 1338   P+0.5P+P+1.2P+2P = 1254   5.7P = 1254   P=220   Answer:$220
Answer: E
Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of the tickets sold, 30% 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? Pick one
A) $16,830
B) $17,820
C) $18,000
D) $19,800
E) $21,780

Solution: 10000 seats --> Full Price : Half Price = 7000 : 3000   Price when all seats are filled = 14000 + 3000= 
14000 + 3000 = 17_000
17000   100 seats are unsold --> Loss due to unfilled seats= 30 + 2*70= 
30 + 2*70 = 170
170   Revenue= 17000 - 170= 
17000 - 170 = 16_830
16830   $16,830nswer: $16,830
Answer: A
In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?  Choose the correct choice.
A) 18
B) 27
C) 25
D) 21
E) 17

Solution: A scores 60 while B score 40 and C scores 30.   The number of points that C scores when B scores 100 = (100 * 30)/40 = 25 * 3= 
25 * 3 = 75
75.   In a game of 100 points, B gives (100 - 75)= 
(100 - 75) = 25
25 points to C.   Answer: 25
Answer: C
A person distributed 20% of his income to his 3 children each. He deposited 25% of his income to his wife's account. He donated 5% of remaining amount to an orphan house.Finally he has $40000. Find his total income?	Choose the correct choice from the following answers:
A) A)452000  B) B)562000  C) C)800000  D) D)400000  E) E)652000

Solution: 3 children got = 3*20= 
3*20 = 60
60%   wife got= 25%   orphan house = 5%   total = 60+25+5= 
60+25+5 = 90
90%   remaining= 100-90= 
100-90 = 10
10%   10%= 40000   100% = 40000*100/10= 
40000*100/10 = 400_000
$400000   Answer is 400000
Answer: D
A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?	Choices
A) 4:2	B) 4:8	C) 4:3	D) 4:0	E) 4:9

Solution: 12:9   = 4:3   Answer: 4:3
Answer: C
In what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choose the correct choice from the following answers:
A) 5 sec  B) 4 sec  C) 3 sec  D) 6 sec  E) 1 sec

Solution: T = 50/36 * 18/5= 
50/36 * 18/5 = 5
5 sec   5 secnswer: 5 sec
Answer: A
With what number must 3.475817 be multiplied in order to obtain the number 34.75817?  Pick:	A) 100	B) 1000	C) 10,000	D) 100,000	E) None of these

Solution: Explanation: The decimal must be moved one places to the right. To do this, we must multiply by a number with one zeroes. The correct answer is 10 .The decimal must be moved one places to the right. To do this, we must multiply by a number with one zero. The correct answer is 10.   Answer : (None of these)
Answer: E
The average of 11 results is 44, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?	Select the correct option:	A) 122	B) 156	C) 118	D) 125	E) 123

Solution: 1 to 11 = 11 * 44= 
11 * 44 = 484
484   1 to 6= 6 * 49= 
6 * 49 = 294
294   6 to 11= 6 * 52= 
6 * 52 = 312
312   6th= 294 + 312 â€“ 484 = 122   122nswer:122
Answer: A
In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
Choose the correct answer.
A) 10 students  B) 20 students  C) 30 students  D) 40 students  E) 50 students

Solution: Let us write the fraction for each group of students   Group 10 students: younger than 10: 50% = 50/100 = 1/2   Group B: 10 years old: 1/20   Group C: older that 10 but younger than 12: 1/10   Group D: 12 years or older: 70 students   The fraction for group 10 students, B and C together is given by   1 / 2 + 1 / 20 + 1 / 10 = 10 / 20 + 1 / 20 + 2 / 20 , common denominator   = 13 / 20 , add numerators   The fraction for group D is given by   20 / 20 - 13 / 20 = 7 / 20 and corresponds to 70 students   If X is the total number of students, then   7 / 20 of X = 70   or (7 / 20) ? X = 70   Solve for X   X = 70 ? (20 / 7) = 200   Students who are 10 years old have a fraction of 1 / 20 of the total X and their number is equal to   (1 / 20) of 200 = 10 students   correct answer 10 students
Answer: A
Pointing to an old man, Kailash said, "His son is my son's uncle." How is the old man related to Kailash ?	Choose the correct choice from the following answers
A) Brother	B) Uncle	C) Father	D) Grandfather	E) Sister

Solution: Explanation:   Kailash's son's uncle — Kailash's brother. So. the old man's son is Kailash's brother   i.e., the old man is Kailash's father.   Answer: Father
Answer: C
An automobile parts supplier charges $20 per package of gaskets. When a customer orders more than 10 packages of gaskets, the supplier charges 4/5 the price for each package in excess of 10. During a certain week, the supplier sold 60 packages of gaskets. If 20 percent of the gaskets went to Company X, 15 percent to Company Y, and the rest to Company Z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets? Choose the correct choice:
A) 1005
B) 1045
C) 1075
D) 1015
E) 1096

Solution: $25 per packet of gasket in case a customer orders less than 10   in case a customer orders > 10 price per gasket = 20*4/5= 
20*4/5 = 16
16   a certain week the supplier sold 60 gasket   1.he sold 20 % of the gaskets to X= 12 gaskets = 20*10 + 16 *2 = 200 + 32= 
200 + 32 = 232
232   2.he sold 15 % of the gaskets to Y= 9 gaskets = 20*9= 
20*9 = 180
180   3.he sold remaining 65% to z=39 gaskets = 20*10= 
20*10 = 200
200 + 16*29=684   thus ,total money earned   232+180+684= 
232+180+684 = 1_096
1096   Answer is 1096
Answer: E
On what dates of April,2001 did Wednesday fall ?
Choose one.
A) 1st,8th,15th,22nd,29th  B) 2nd,9th,16th,23rd,30th  C) 3rd,10th,17th,24th  D) 4th,11th,18th,25th  E) None of these

Solution: Solution   We shall find the day on 1st April,2001.   1st April,2001 =(2000 years + Period from 1.1.2001 to 1.4.2001)   Odd days in 1600 years =0   Odd days in 400 years =0   Jan. Feb. March April   (31 + 28 + 31 + 1)= 
(31 + 28 + 31 + 1) = 91
91 days=0 odd days. Answer 4th,11th,18th,25th
Answer: D
In a simultaneous throw of 2 dice what is the probability of getting a total of 6? Choose the correct choice from the following choices:	A) 1/4	B) 5/36	C) 2/11	D) 3/13	E) 1/5

Solution: n(S) = 6*6= 
6*6 = 36
36   E= {(1,5),(2,4),(3,3),(4,2),(5,1)}   Probability = 5/36   Answer is 5/36
Answer: B
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle? Choices:
A) 12 cm  B) 14 cm  C) 18 cm  D) 20 cm  E) 22 cm

Solution: 2(l + b) = 5   b 1   2l + 2b = 5b   3b = 2l   b = 2 l   3   Then, Area = 216 cm2   l x b = 216   l x 2 l = 216   3   l2 = 324   l = 18 cm.   18 cm
Answer: C
Find the least number of candidates in an examination so that the percentage of successful candidates should be 76.8%:	Select:
A) 105	B) 115	C) 125	D) 135	E) 145

Solution: suppose no. of total candidates are 'y' and successful are 'x'.   (x/y)*(100)=76.8 or x/y=0.768   or y=x/0.768   here we need minimum value of y, which is obtained by minimum value of x.   if put x=768 then y=1000   now we will try decrease value of x than we will find less value of y. so factorized 768 by 2 further.   if put x=384 then y=500   if put x=192 then y=250   if put x=96 then y=125(answer)   if put x=48 then y=62.5(not integer)   so ans is 125   ANSWER:125
Answer: C
If the difference between the length and breadth of a rectangle is 23 m and its perimeter is 166 m, what is its area?
Choose the correct option.
A) 1590	B) 2535	C) 2530	D) 2515	E) 2520

Solution: length = breadth +23. Therefore,   4× breadth +2×23=166 m   ⇒ breadth =30 m   length =30+23= 
30+23 = 53
53 m   1590rea=53×30=1590 m2   1590nswer is 1590.
Answer: A
An article is bought for Rs.600 and sold for Rs.450, find the loss percent?
Choose the correct option:
A) 16% B) 18% C) 19 % D) 20% E) 25%

Solution: 600 ---- 150   100 ---- ? => 16 2/3%   Answer: 25%
Answer: E
A glass was filled with 10 ounces of water, and 0.02 ounce of the water evaporated each day during a 30-day period. What percent of the original amount of water evaporated during this period?  Choose the correct choice from the following options:
A) 0.006%
B) 0.06%
C) 6%
D) 2%
E) 60%

Solution: In 30 days 30*0.02= 
30*0.02 = 0.6
0.6 ounces of water evaporated, which is 0.6/10âˆ—100=6 of the original amount of water.   Answer: 6%.
Answer: C
Two bullet train s 140 m and 180 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:  Answers.
A) 15.8 sec.	B) 11.52 sec.	C) 11.8 sec.	D) 10.8 sec.	E) 08.8 sec.

Solution: Relative speed = (60 + 40) km/hr = 100x5/18 = 250/9 m/ sec.   Distance covered in crossing each other = (140 + 180)= 
(140 + 180) = 320
320 m.   Required time= 320x9/250 = 11.52 sec.   ANSWER 11.52 sec.
Answer: B
M, N and O are inner angles in a triangle. If M= N+ O, what can't be the size of N?
Choose the correct choice from the following answers:	A) 90 DEGREES	B) 60 DEGREES	C) 960 DEGREES	D) 960 DEGREES	E) 9660 DEGREES

Solution: Given M= N+ O, and M, N and O are inner angles in a triangle. Thus M+ N+ O= 180   N+ O + N+ O= 180 => 2(N+ O) = 180 => N+ O= 90. Thus beta will be less than 90.   Hence the answer is 90 DEGREES.
Answer: A
Mohan purchased 16 kgs of rice at the rate of Rs.26 per kg and 8 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?
Choose the correct answer:
A) A)Rs.598	B) B)Rs.625	C) C)Rs.596	D) D)Rs.595	E) E)of these

Solution: Explanation:   Price of 16 kgs of rice at Rs.26/kg = 16x26 = Rs.416   Price of 8 kgs of pulses at Rs.26/kg = 8x26 = Rs.208   Therefore, Total amount = Rs.416+Rs.208 = Rs.624.   Answer: Option Rs.625
Answer: B
Raj writes a number. He sees that the number of two digits exceeds four times the sum of its digits by 3. If the number is increased by 18, the results is the same as the number formed by reversing the digits. Find the next immediate prime greater than the number.	Choose the correct choice from the following choices:
A) 22	B) 37	C) 88	D) 27	E) 97

Solution: Let the number be xy = 10x + y   10x + y = 4(x+y) + 3 ⇒⇒ 2x - y -1 -------(1)   Also 10x + y +18 = 10y +x , 9(y-x) = 18, y-x = 2 -------(2)   Solving we get x = 3, y = 5   The number is 35. So next immediate prime is 37   Answer:37
Answer: B
The Racing magic takes 90 seconds to circle the racing track once. The Charging bull makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?
Choices:
A) 3	B) 6	C) 9	D) 12	E) 15

Solution: Time taken by Racing magic to make one circle = 90 seconds   Time taken byCharging bullto make one circle = 60 mins / 40 = 1.5 mins = 90 seconds   LCM of 90 and 90 seconds = 90 seconds   Time taken for them to meet at the starting point for the second time =2*90= 
2*90 = 180
180 seconds= 3 mins   3nswer 3
Answer: A
How many strings of 6 letters can be made using only the letters A, B, and C, or only the letters D, E, and F ?  Pick
A) 2×3^6	B) 3×2^6	C) 3×3^6	D) 2×2^6	E) 6^6

Solution: 3^6 + 3^6 = 2*3^6   2×3^6NS : 2×3^6
Answer: A
10 men and 15 women together can complete a work in 7 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?	Choose the correct choice from the following answers
A) 127 days  B) 667 days  C) 177 days  D) 187 days  E) 350 days

Solution: 1 man's 1 day work = 1/100   (10 men + 15 women)'s 1 day work = 1/7   15 women's 1 day work = (1/7 - 10/100) = 3/70   1 woman's 1 day work = 1/350   1 woman alone can complete the work in 350 days.   Answer:350 days
Answer: E
The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 76% of the required amount. What is the net difference in the expenditure on that product?
Pick:
A) 12.5%  B) 13%  C) 5%  D) 17%  E) 19%

Solution: Quantity X Rate = Price   1 x 1 = 1   0.76 x 1.25 = 0.95   Decrease in price = (0.05/1) × 100 = 5%   5%)
Answer: C
The simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on $4000 for 2 years at 10% per annum. The sum placed on simple interest is ?	Options:	A) $1250	B) $1300	C) $1750	D) $2015	E) $1452

Solution: C.I. = 4000* (1 + 10/100)^2 - 4000 = 4000* 11/10 * 11/10 -4000= 
4000* 11/10 * 11/10 -4000 = 840
$840   Sum= 420*100/3*8 = $1750   Answer is $1750
Answer: C
In year Y imported machine tools accounted for 50 percent of total machine-tools sales in the United States, and Japanese imports accounted for 40 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars? Options:
A) 10x	B) 12x	C) 15x	D) 17x	E) 20x

Solution: Sales of imported tools = 50% of the total sales = 0.50*{total} = {total}/2;   Sales of Japanese tools = 40% of the sales of imported tools = 0.40*{total}/4 = 4/10*{total}/4 = total}/10.   Since the sales of of Japanese tools was x, then {total}/10 = x --> {total} = 10x   10xnswer: 10x
Answer: A
one prototyping machine can make 10 copies every 4 seconds. At this rate, How many copies
can the machine make in 6 min.?  Select the correct option: A) 900 B) 600 C) 360 D) 240 E) 150

Solution: 10 copies--4 sec   10/4 copies--1 sec   (10/4)*6*60---1*6*60 sec   900 copies--6 min   900NSWER:900
Answer: A
How many integers N are prime numbers in the range 200 < N < 220?  Pick one:
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: To test a number N on whether it is a prime number , take square root(N) .   Consider as it is if it is a natural number. Otherwise, increase the sq. root to the next natural no.   Then divide given no. by all prime numbers BELOW the sq. root obtained.   If the no. is divisible by any of the prime numbers, then it is not a prime number; else it is.   Square root of 200 or 220 is less than 15   So, lets check if any number between 200 and 220 is not divisible by prime numbers 2,3,5,7,11(<15). That's it.   Out: 201, 202, 203, 204, 205, 206, 207, 208, 209, 210,   212, 213, 214, 215, 216, 217, 218, 219   Only 211 is a prime number in the given range   Correct Option : 1
Answer: A
In the kitchen of a busy restaurant, it takes M minutes to wash P pots. At this rate, how many hours does it take to wash 15P pots? Choose one:
A) 4/M B) 4M C) 900M D) M/900 E) M/4

Solution: The time it takes to wash 15P pots is 15M minutes which is 15M / 60 = M/4 hours.   The answer is M/4.
Answer: E