MU-NLPC/Calc-aqua_rat huggingface dataset:
A 300 meter long train crosses a platform in 27 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choose the most appropriate option:  A) 150m  B) 278m  C) 350m  D) 228m  E) 282m

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 27   = 50/3   3(x + 300)   = 1350 è x   = 150m.   150mnswer:150m
Answer: A
On June 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 3 for each of the past 5 months. If the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on September 1 than were in stock on January 1?  Pick
A) 8  B) 12  C) 24  D) 32  E) 36

Solution: Jan 1 = 24   Feb 1 = 24 - 3   March 1 = 24 - 6   April 1 = 24 - 9   May 1 = 24 - 12   June 1 = 24 - 15   July 1 = 24 - 18   Aug 1 = 24 - 21   Sept 1 = 24 - 24   Difference between stock on September 1 than were in stock on January 1 will be -   24 - ( 24 - 24 )= 
24 - ( 24 - 24 ) = 24
24   Hence answer will be (24)
Answer: C
A rectangular-shaped carpet remnant that measures x feet by y feet is priced at $40. What is the cost of the carpet, in dollars per square yard? (9 square feet = 1 square yard) Choose the most appropriate option.
A) 50xy B) 450xy C) xy/9 D) xy/50 E) 360/(xy)

Solution: xy sq ft = $40   1 sq ft = $40/xy   multiplying by 9 on both side   9 sq ft = $360/xy   or 1 sq yard = $360/xy   Hence 360/(xy).
Answer: E
If the cost price of 20 articles is equal to the selling price of 25 articles, what is the % profit or loss made by the merchant? Pick one:	A) 25% loss	B) 20% loss	C) 25% Profit	D) 20% Profit	E) 5% profit

Solution: Let the cost price of 1 article be Rs. 1.   Therefore, cost price of 20 articles = 20 * 1 = Rs. 20   The selling price of 25 articles = cost price of 20 articles = Rs. 20.   Let us find the cost price of 25 articles.   Cost price of 25 articles = 25 * 1 = Rs. 25.   Therefore, profit made on sale of 25 articles = Selling price of 25 articles - cost price of 25 articles   = 20 - 25 = -Rs. 5.   Because the profit is in the negative, the merchant has made a loss of Rs.5.   Therefore, % loss = Loss /Cost Price∗100   % loss = 5/25∗100 =20% loss.   Answer : 20% loss
Answer: B
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 15%? Choose the correct choice from the following options:
A) 228	B) 480	C) 267	D) 288	E) 544

Solution: SP = 800   Profit = 25%   CP = (SP)*[100/(100+P)]   = 800 * [100/125]   = 640   Loss 800 *  100/125= 
800 *  100/125 = 640
640   Loss= 25% = 25% of 640 = Rs.96   SP = CP - Loss = 640 - 96 = Rs.544   Answer: 544
Answer: E
0---:-|---:--|-:--:-|--:---|-:----1
On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the LEAST possible distance W between any two of the tick marks?  Pick:  A) 1/70  B) 1/35  C) 2/35  D) 1/12  E) 1/7

Solution: divisions are 0 1/7 2/7 3/7 4/7 5/7 6/7 1   1/5 2/5 3/5 4/5 5/5   expressing the same in terms of the lcm of 5,7 ,i.e 35   0 7/35 14/35 21/35 28/35 35/35   5/35 10/35 15/35 20/35 25/35 30/35   by comparing the divisions with each other we can see 1/35 is the shortest possible distance between any two selected divisions.   W=1/35   Answer is 1/35.
Answer: B
The average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school?	Choices:  A) 28  B) 30  C) 38  D) 38  E) 38

Solution: 39x = 5 + 12 + 15 + 19 + (x – 4)44   x = 25   Answer:30
Answer: B
7^1+7^2+7^3+.......+7^205. Find out how many numbers present which unit place contain 3?  Choose the correct choice:
A) 78 B) 51 C) 11 D) 27 E) 99

Solution: Units digits of first 4 terms are 7, 9, 3, 1. and this pattern repeats. So for every 4 terms we get one term with 3 in its unit digit. So there are total of 205/4 = 51 sets and each set contains one terms with 3 in its unit digit.   Ans is 51.   Answer:51
Answer: B
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?  Options:
A) 50
B) 200
C) 100
D) 250
E) 150

Solution: Let the number of 25 p, 10 p and 5 p coins be x, 2x, 3x respectively.   Then, sum of their values = Rs. ((25x/100) + (10 x 2x/100)+(5 x 3x)/100= Rs. 60x/100   Therefore, 60x/100 = 30   x = 30 x 100/60 = 50.   Hence, the number of 5 p coins = (3 x 50) = 150.   Answer is 150.
Answer: E
You roll two six sided dices together.
Can you calculate the probability that the first dice gives the number 2 while the second dice gives the number 5?
Choose the correct choice.
A) 1/23 B) 3/52 C) 1/53 D) 4/24 E) 1/36

Solution: E   1/36   Explanation:   The number of possibilities for the first as well as the second dice are 6 and 6 respectively. Therefore the total possibilities or outcome are   6 * 6= 
  6 * 6 = 36
36.   Out of 36 outcomes, we need only one case i.e. the first gives 2 and the second gives 5.   Therefore, the probability will be 1 on 36 or 1/36.
Answer: E
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Choose the most appropriate option: A) 19 sec B) 87 sec C) 36 sec D) 16 sec E) 11 sec

Solution: Speed of train relative to jogger = 45 - 9= 
45 - 9 = 36
36 km/hr.= 36 * 5/18= 
36 * 5/18 = 10
10 m/sec.   Distance to be covered= 240 + 120= 
240 + 120 = 360
360 m.   Time taken= 360/10= 
360/10 = 36
36 sec.   Answer: 36 sec
Answer: C
The lowest number which should be added to 8247 so that the sum is exactly divisible by 5, 6, 7, 8 and 9 is:  Choose the correct choice from the following answers.
A) 1833 B) 1853 C) 1733 D) 1233 E) 1832

Solution: L.C.M. of 5, 6, 7, 8 and 9 = 2520.   On dividing 8247 by 2520, the remainder is 687.   Number to be added = (2520 - 687)= 
(2520 - 687) = 1_833
1833. 1833nswer: Option '1833'
Answer: A
A and B can do a piece of work in 5 days, B and C in 6 days, C and A in 7 days. How long will C take to do it?  Select.
A) 260/19 days B) 240/23 days C) 220/17 days D) 200/19 days E) 180/11 days

Solution: 2c = 1/6 + 1/7 – 1/5 = 23/210   c = 23/240 => 240/23 days   The answer is 240/23 days.
Answer: B
A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.160/- extra, then how much amount he took?	Choose the correct choice from the following answers:	A) s.5500/-	B) s.6000/-	C) s.4000/-	D) s.7000/-	E) s.8000/-

Solution: s.8000/-xplanation:   2 years = Rs.160/-   year = 160/2   Rate of Interest = 1%   100/1% × 160/2 = Rs.8000/-   P = Rs.8000/-   Answer: Option s.8000/-
Answer: E
Annabelle was given a 8 m head start in a 100 m race with Gina. She won the race by 0.85 m. How many more meters would it take for Gina to overtake her?
Choose the correct choice from the following options:
A) 7m
B) 5m
C) 6m
D) 4m
E) 3m

Solution: Distance Gina ran before completion of race---100 m-0.85m=99.15m   Distance gained on Anabelle over 99.15m---8m-0.85m=7.15   then Gina gains 99.15/7.15m = 1m on Kelly every 13.87 meters.   Therefore 7.15m divided by 0.85 of 1 meter.   ANSWER: C. 6m
Answer: C
The banker’s gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker’s discount is
Choices:
A) Rs.960	B) Rs.840	C) Rs.1020	D) Rs.760	E) None

Solution: Solution   T.D	=(B.G x 100 / R x T)   = Rs.(270x100/12 x 3)   = Rs.750.   B.D   =Rs(750 + 270)   = Rs.1020.   Answer Rs.1020
Answer: C
Jacob is now 14 years younger than Michael. If 9 years from now Michael will be twice as old as Jacob, how old will Jacob be in 4 years?  Select.
A) 3  B) 7  C) 9  D) 21  E) 25

Solution: Jacob=x years, Michael=x+14 years   9 years from now,   2(x+9)=x+23   2x+18=x+23   x=5   x+4=9 years   Answer 9
Answer: C
Pradeep has to obtain 35% of the total marks to pass. He got 150 marks and failed by 25 marks. The maximum marks are
Choose the correct choice from the following
A) 300
B) 600
C) 800
D) 500
E) 900

Solution: Explanation :   Let their maximum marks be x.   Then, 35% of x = 150 + 25   =>35/100x= 175   x = (17500/35)= 
(17500/35) = 500
500.   Answer : 500
Answer: D
What is the smallest number which when diminished by 12, is divisible 8, 12, 22 and 24? Answers: A) 276 B) 292 C) 298 D) 322 E) 342

Solution: Required Number   = (LCM of 8, 12, 22 and 24) + 12   = 264 + 12= 
264 + 12 = 276
276   Option 276
Answer: A
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is? Select: A) 3/4 B) 3/2 C) 3/6 D) 3/3 E) 3/1

Solution: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x   = 6 y ==> x/y = 3/2.   Answer: 3/2
Answer: B
Three partners shared the profit in a business in the ratio 4:6:8. They had partnered for 12 months, 8 months and 6 months respectively. What was the ratio of their investments? Select:  A) 4 : 9 : 19  B) 4 : 9 : 12  C) 4 : 9 : 11  D) 4 : 9 : 16  E) 4 : 9 : 77

Solution: Let their investments be Rs. x for 12 months, Rs. y for 8 months and Rs. z for 6 months respectively.   Then, 12x : 8y : 6z = 4 : 6 : 8   Now, 12x/8y = 4/6 <=> 9x=4y <=> y=9x/4   And, 12x/6z = 4/8 <=> 4x=z <=> z=4x   Therefore, x : y: z = x : 9x/4: 4x = 4 : 9 : 16   Answer: 4 : 9 : 16
Answer: D
After decreasing 50% in the price of an article costs Rs.620. Find the actual cost of an article?
Choose the correct choice from the following.
A) 2777 B) 2987 C) 1200 D) 1240 E) 1671

Solution: CP* (50/100) = 620   CP= 12.4 * 100 => CP = 1240   Answer: 1240
Answer: D
How many pounds of salt at 50 cents/lb must be mixed with 40 lbs of salt that costs 25 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb?	Pick one
A) 20  B) 15  C) 40  D) 60  E) 25

Solution: Selling price is 48 cents/lb   For a 20% profit, cost price should be 40 cents/lb (CP*6/5 = 48)   Basically, you need to mix 25 cents/lb (Salt 1) with 50 cents/lb (Salt 2) to get a mixture costing 40 cents/lb (Salt Avg)   weight of Salt1/weight of Salt2 = (Salt2 - SaltAvg)/(SaltAvg - Salt1) = (50 - 40)/(40 - 25) = 2/3   We know that weight of salt 1 is 40 lbs. Weight of salt 2 must be 60 lbs.   Answer (60)
Answer: D
During a behavioral experiment in a psychology class, each student is asked to compute his or her lucky number by raising 7 to the power of the student's favorite day of the week (numbered 1 through 7 for Monday through Sunday respectively), multiplying the result by 3, and adding this to the doubled age of the student in years, rounded to the nearest year. If a class consists of 28 students, what is the probability that the median lucky number in the class will be a non-integer?  Choose the correct choice from the following choices
A) 0%  B) 10%  C) 20%  D) 30%  E) 40%

Solution: Student's age is integral value. In question, we are multiplying student's age by 2 and adding some 3* 7^x something over there.   It means Even (2* age of students) + Odd (3) * 7 ^x (where x is day of week).   We know that 7^x is always odd. (e.g. 7, 49, 243, 1701, and repeat).   => 3* odd is again odd.   2 * age of students is always even.   So final equation is even +odd = odd.   Avg of any number of odd digits or any number of even digits can never be non integral value. So 0% is the answer 0%.
Answer: A
Three numbers are in the ratio 3:5:7. The largest number value is 42. Find difference between Smallest & largest number is? Choices:
A) 21
B) 22
C) 24
D) 25
E) 26

Solution: == 3:5:7   Total parts = 15   = The largest number value is 42   = The largest number is = 7   = Then 7 parts -----> 42 ( 7 * 6 = 42 )   = smallest number = 3 & Largest number = 7   = Difference between smallest number & largest number is = 7 - 3= 
7 - 3 = 4
4= Then 4 parts -----> 24 (4 * 6 = 24)   24
Answer: C
A can do a piece of work in 6 days. B can do it in 6 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it? Choose the correct choice
A) 8 days	B) 2 days	C) 6 days	D) 7 days	E) 4 days

Solution: 6 days = 1/2 - 1/6 - 1/6= 1/6   => 6 days   Answer: 6 days
Answer: C
In a candy dish the ratio of red to yellow candies is 2:5, the ratio of red to green candies is 3:8, and the ratio of yellow ot blue candies is 9:2.what is the maximum total number E of yellow and green candies combined if the maximum combined number of red and blue candies is fewer than 85?  Pick one.
A) 144
B) 189
C) 234
D) 279
E) 309

Solution: Given that Red is to yellow is 2:5, Red is to green is 3:8 and Yellow is to blue is 9:2.   Therefore, the total number of red, yellow, blue and green balls will be 18x, 45x, 10x and 48x respectively, where x is a constant.   If the combined number of red and blue balls is fewer than 85, i.e. max 84 balls, then the maximum number of yellow and green balls will be 279.   (10x+18x) < 85.   28x < 85, i.e. 28x <= 84 (Since number of balls cannot be in fraction). Thus, x<=3.   (45x+48x) = 93x.   Max (93x) E(45 +48 )= 
(45 +48 ) = 93
93x.   Max (93x) E= 279.   Answer is 279.
Answer: D
A man buys a cycle for Rs. 1400 and sells it at a loss of 5%. What is the selling price of the cycle?
Choose the correct choice from the following choices.
A) s. 1090 B) s. 1160 C) s. 1190 D) s. 1202 E) s. 1330

Solution: since,c.p=1400   loss%=(c.p-s.p)/c.p*100   5=(1400-s.p)/1400*100   so,after solving answer=1330.   ANSWs. 1330R:s. 1330
Answer: E
If ab represents a positive two-digit number, where a and b are one-digit integers, which of the following CANNOT be true?	Pick one
A) ab = 0  B) a + b = 0  C) a – b = 0  D) b – a = 0  E) B, C and D

Solution: The (tens place digit, a) cannot be zero, but the (ones place digit, b) can be zero.   A is possible   B is NOT possible   C is NOT possible   D is NOT possible   Answer: B, C and D
Answer: E
A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in? Choices
A) 7  B) 6  C) 8  D) 9  E) 5

Solution: (A + B + C)'s 1 day work = 1/6;   (A + B)'s 1 day work = 1/8   (B + C)'s 1 day work = 1/12   (A + C)'s 1 day work = (2 * 1/6) - (1/8 + 1/12)   = (1/3 - 5/24) = 1/8   So, A and C together will do the work in 8 days.   Answer:8
Answer: C
Sandy invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Sandy got back 3 times the original investment. What is the value of n? Choose the correct choice from the following answers.
A) 20
B) 25
C) 30
D) 35
E) 40

Solution: n* 0.08 * principal + principal = 3 * principal   n * 0.08 = 2   n = 25 years   The answer is 25.
Answer: B
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. 450. Find the total worth of the stock?
Select the correct option:
A) 20029	B) 22500	C) 20289	D) 20027	E) 20026

Solution: 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 = 450 => x = 22500   Answer: 22500
Answer: B
17! is equal to which of the following? Pick
A) 355,687,428,096,622
B) 355,687,428,096,245
C) 355,687,428,096,000
D) 355,687,428,096,924
E) 355,687,428,096,736

Solution: After 4!, the units digit of every factorial is 0.   5!=120   6!=720   etc...   The answer is 355,687,428,096,000.
Answer: C
What will come in place of the x in the following Number series? 279936, 46656, 7776, 1296, 216, x	Choose the correct choice from the following options:
A) 24
B) 26
C) 36
D) 42
E) 45

Solution: Go on dividing by 6 to the next number   36)
Answer: C
If c and t are positive integers, ct +c + t cannot be
Pick.
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: Let ct + t + c = x   Add 1 on both sides:   ct + t + c + 1 = x + 1   t(c + 1) + c + 1 = x + 1   (c + 1)(t + 1) = x + 1   Minimum value of (c + 1) = 2   Minimum value of (t + 1) = 2   Hence x + 1 cannot be prime   Substitute x from the given options:   6 + 1= 
  6 + 1 = 7
7 --> prime --> ct + t + s cannot be 6   Answer: 6
Answer: B
The HCF and LCM of two numbers are 21 and 4641 respectively. If one of number lies between 200 and 300, the two numbers are  Choose the most appropriate option:
A) 273, 357
B) 273, 361
C) 273, 359
D) 273, 363
E) None

Solution: Note that 273 is common in all the options   HCF × LCM Product of 2 numbers   21 × 4641 =273x, x = 357   273, 357nswer: 273, 357.
Answer: A
Find the invalid no.from the following series 15, 17, 34, 105, 424, 2124, 12756
Choose the correct option:
A) 17  B) 34  C) 105  D) 424  E) 2124

Solution: 2nd term = (1st term) * 1 + 1 = 15 *1 + 1= 
15 *1 + 1 = 16
16.   3rd term= (2nd term) * 2 + 2 = 16 * 2 + 2= 
16 * 2 + 2 = 34
34   4th term= (3th term) *3 + 3 = 34 * 3 + 3= 
34 * 3 + 3 = 105
105   5th term= (4th term) * 4 + 4 = 105 * 4 + 4= 
105 * 4 + 4 = 424
424   6th term= (5th term) * 5 + 5 = 424 * 5 + 5= 
424 * 5 + 5 = 2_125
2125   2nd term should 16 instead of 17.   17
Answer: A
If the average of 12x and 8y is greater than 200, and x is twice y, what is the least integer value of x ? Select the correct option
A) 20	B) 30	C) 40	D) 25	E) 35

Solution: Substitution can be used in the following way:   Always start with the equation: x = 2y. It is more straight forward to manage as compared to the inequality.   Substitute y = x/2, not the other way because you need to find the minimum value of x. So you can get rid of y.   Now go on to the inequality. So 8y = 8x/2 = 4x   Now average of 12x and 4x is greater than 200. Average of 12x and 4x is 8x. So,   8x > 200   x > 25   Answer : 258 /2= 
8 /2 = 4
4x   Now average of 12x and 4x is greater than 200. Average of 12x and 4x is 8x. So,   8x > 200   x > 25   Answer : 25
Answer: D
Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?  Select the correct option:
A) 1/8
B) 1/16
C) 1/6
D) 1/4
E) 190

Solution: 4/2= 
4/2 = 2
2   2/2= 
2/2 = 1
1   1/2= 1/2   (1/2)/2 = 1/4   (1/4)/2 = 1/8
Answer: E
The smallest number when increased by " 3 " is exactly divisible by 5,10,45,90,and 105 is:  Options
A) 630
B) 633
C) 150
D) 140
E) 627

Solution: LCM = 630   630-3= 
630-3 = 627
627   ANSW627R:627
Answer: E
Alex and Brian start a business with Rs.7000 each, and after 8 months, Brian withdraws half of his capital . How should they share the profits at the end of the 18 months?  Choose the correct choice from the following answers
A) 5:4  B) 4:3  C) 18:11  D) 3:2  E) 18:13

Solution: Alex invests Rs.7000 for 18 months, but Brian invests Rs.7000 for the first 8 months and then withdraws Rs.3500. So, the investment of Brian for remaining 10 months is Rs.3500 only.   Alex:Brian   7000*18 : (7000*8) + (3500*10)   126000 : 91000   Alex:Brian = 18:13   Answer: 18:13
Answer: E
if a cow eat 3kg fodder which is mean of 7 days.if he eat 2 kg,1kg,3kg,4kg,2kg,3kg
on mon,tue,wed,thurs,fri and Saturday.how much cow eat on Sunday?
Choose the correct choice from the following answers:
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: solution   let cow eat x kg on Sunday   (2+1+3+4+2+3+x)/7=3   15+x=21   x=6   answer 6
Answer: D
In May, Xiang sold 15 used cars. For these 15 cars, the range of the selling price was $15,000 and the lowest selling price was $4,500. In June, Xiang sold 10 used cars. For these 10 cars, the range of the selling prices was $16,500 and the lowest selling price was $6,700. What was the range of the selling prices of the 25 used cars sold by Xiang in May and June?
Select the correct option
A) 1. $15,600	B) 2. $15,750	C) 3. $16,820	D) 4. $18,100	E) 5. $18,700

Solution: Edited the question as there was a typo.   Range = Highest Value - Lowest Value.   Range in May was 15,000 and the lowest price in May was 4,500, thus the highest price in May was 15,000+4,500=19,500.   Range in June was 16,500 and the lowest price in June was 6,700, thus the highest price in June was 16,500+6,700=23,200.   Lowest price of a car in May-June was 4,500 (May) and the highest price of a car in May-June was 23,200, thus the range for May-June is 23,200-4,500=18,700.   Answer: 5. $18,700.
Answer: E
If a rectangular billboard has an area of 120 square feet and a perimeter of 46 feet, what is the length of each of the shorter sides?	Pick.
A) 4	B) 7	C) 8	D) 13	E) 26

Solution: This question can be solved algebraically or by TESTing THE ANSWERS.   We're told that a rectangle has an area of 120 and a perimeter of 46. We're asked for the length of one of the SHORTER sides of the rectangle.   Since the answers are all INTEGERS, and the area is 120, the shorter side will almost certainly be less than 10 (since 10x10 = 100, but we're NOT dealing with a square). Answer B (7) does NOT divide evenly into 120,   Let's TEST Answer C: 8   IF...   The shorter side = 8...   The area = 120....120/8 = 15 = the longer side   Perimeter = 8+8+15+15= 
8+8+15+15 = 46
46   8
Answer: C
If 0.75 : x :: 5 : 8, then x is equal to:	Answers
A) 1.5
B) 1.9
C) 1.2
D) 1.4
E) None of them

Solution: ((x) x 5) = (0.75 x 8)   = x = 6/5= 
6/5 = 6/5 = around 1.2
1.20   Answer is 1.2.
Answer: C
12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days. Choose the most appropriate option:
A) 15
B) 18
C) 22
D) 25
E) 26

Solution: One man’s one day’s work = 1/48   One woman’s one day’s work = 1/60   6 men’s 2 day’s work = ((6/48) x 2) = 1/4   Remaining work = 3/4   Now, 1/60 work s done in 1 day by 1 woman.   Thus, 3/4 work will be done in 3 days by (60 x (3/4) x (1/3)) = 15 women.   15NSWER:15
Answer: A
When positive integer A is divided by positive integer B, the remainder is 6. If A/B = 58.3, what is the value of B?	Choose the correct choice from the following options:
A) 15  B) 20  C) 18  D) 19  E) 45

Solution: When positive integer A is divided by positive integer B, the remainder is 6 --> A=qB+6;   A/B=58.3 --> A=58B+0.3B (so q above equals to 58);   0.3B=6 --> B=20.   Answer: 20.
Answer: B
If f(x)= 5x^2- 2x+6 and g(y)= 3y-8, then g(f(x))  Choose one: A) 82x^2-9x+38 B) 15x^2-6x+10 C) 58x^2-4x+58 D) 87x^2-5x+96 E) 98x^2-7x+94

Solution: g(f(x))=3(5x^2-2x+6)-8   =15x^2-6x+18-8   =15x^2-6x+10   the answer is 15x^2-6x+10
Answer: B
Alex deposited x dollars into a new account that earned 8 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ?  Choose the correct option.
A) w/(1+1.08) B) w/(1.08+1.16) C) w/(1.16+1.24) D) w/(1.08+1.08^2) E) w/(1.08^2+1.08^2)

Solution: Account at the end of the first year would be 1.08x dollars. At this time x dollars was deposited, hence the account at the beginning of the second year would be (1.08x+x) dollars. Account at the end of the second year would be (1.08x+x)*1.08=w --> x(1.08^2+1.08)=w --> x=w/(1.08+1.08^2).   Answer: w/(1.08+1.08^2).
Answer: D
734619
110907
524232
995001
678297
1548??
now what could be the missing area in the question Answers.
A) 80  B) 81  C) 82  D) 83  E) 84

Solution: there is a specific addition/subtraction in each two digits   73-27= 
73-27 = 46
46 46-27=19   11-2= 
11-2 = 9
9 9-2=7   same    67+15= 
 67+15 = 82
82 82+15=97   15+33= 
15+33 = 48
48 48+33=81   ANSWER:81
Answer: B