MU-NLPC/Calc-aqua_rat huggingface dataset:
A wizard named Nepo says "I am only three times my son's age. My father is 40 years more than twice my age. Together the three of us are a mere 1240 years old." How old is Nepo?	Options
A) 340 yr B) 330 yr C) 350 yr D) 360 yr E) 370 yr

Solution: nepo's age=x yr   nepo's son's age=x/3 yr   nepo's father's age=2x+40 yr   total age=1240   x+x/3+2x+40=1240   3x+x+6x+120=1240*3   10x=3720-120   x=360   Hence nepo's age is 360 yr   ANSWER:360 yr
Answer: D
Smita was making 1 design (again some nonsense) size of larger cube to be made is 5*5*5 using smaller cubes of 1*1*1. She created solid larger cube .Then she decided to make hollow cube of same size. Then how many 1*1*1 cubes required to make hollow larger cube.	Choose the most appropriate option
A) 95 cubes	B) 96 cubes	C) 97 cubes	D) 99 cubes	E) 98 cubes

Solution: For making a solid cube you require 5*5*5= 
5*5*5 = 125
125 cubes;   now for a hollow one, you have to remove a  3*3*3= 
 3*3*3 = 27
27 cubes from the core of solid cobe. therefore required cubes for hollow one is   125-27= 
  125-27 = 98
98 cubes   ANSW98 cubesR:98 cubes
Answer: E
4,6,10,14,22,34,38,46 ? what is next term in the series.
Answers:  A) 50  B) 52  C) 56  D) 58  E) 60

Solution: 4,6,10,14,22,26,34,38,46,?   this is right question .   It satisfy prime number like(2,3,5,7,11,13,17,19,23,29,31.....)   2*2= 
2*2 = 4
4   2*3= 
2*3 = 6
6   2*5= 
2*5 = 10
10   2*7= 
2*7 = 14
14   2*11= 
2*11 = 22
22   2*13= 
2*13 = 26
26   2*17= 
2*17 = 34
34   2*19= 
2*19 = 38
38   2*23= 
2*23 = 46
46   2*29= 
2*29 = 58
58   ANSWER:58
Answer: D
In one hour, a boat goes 11km along the stream and 5 km against it. Find the speed of the boat in still
water	Choose one.
A) 6	B) 7	C) 8	D) 9	E) 10

Solution: Explanation:   We know we can calculate it by 1/2(a+b)   => 1/2(11+5) = 1/2(16) = 8 km/hr   Answer: 8
Answer: C
A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his average after 17th match  Choose one.
A) 36
B) 37
C) 38
D) 39
E) 35

Solution: Explanation:   Let the average after 17th match is x   then the average before 17th match is x-3   so 16(x-3) + 87 = 17x   => x = 87 - 48= 
87 - 48 = 39
39   Option 39
Answer: D
Together, Andrea and Brian weigh p pounds; Brian weighs 8 pounds more than Andrea. Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea. In terms of p, what is Cubby's weight in pounds?  Pick.
A) p/2 - 10 B) 3p/4 - 4 C) 3p/2 - 5 D) 5p/4 - 10 E) 5p - 5

Solution: Together, Andrea and Brian weigh p pounds --> A + B = p.   Brian weighs 10 pounds more than Andrea --> B = A + 8 --> A + (A + 8) = p --> A = (p - 8)/2 = p/2 - 4.   Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea --> C = A + p/4 = (p/2 - 4) + p/4 = 3p/4 -4.   Answer: 3p/4 - 4.
Answer: B
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.	Choose the correct choice from the following choices
A) 280
B) 234
C) 285
D) 236
E) 250

Solution: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them) = 1/2 (20 + 18) * (15) = 285 cm2   Answer: Option 285
Answer: C
The average age of applicants for a new job is 30, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
Choose the correct answer.
A) 8  B) 16  C) 17  D) 18  E) 34

Solution: Minimum age = Average - 1 Standard deviation = 30 - 8= 
30 - 8 = 22
22   Maximum age= average + 1 Standard deviation = 30+ 8= 
30+ 8 = 38
38   Maximum number of different ages of the applicants= 38 - 22 + 1= 
38 - 22 + 1 = 17
17   Answer 17
Answer: C
If m and n are the roots of the quadratic equation x^2−(2√5)x−2=0, the value of m2+n2 is: Choose the correct option:
A) 18
B) 20
C) 22
D) 24
E) 32

Solution: Product of root, MN = C/A = -2/1 = -2   Sum of root, M+N = -B/A = -(-2\sqrt{5}/1 )= 2\sqrt{5}   (M+N)^2 = M^2 + N^2 + 2= 
2 + 2 = 4
4*5= 
4*5 = 20
20   2MN= -2(2) = -4   M^2 + N^2 = 20 + 4= 
20 + 4 = 24
24   ANSWER:24
Answer: D
At Veridux Corporation, there are 250 employees. Of these, 90 are female, and the rest are males. There are a total of 40 managers, and the rest of the employees are associates. If there are a total of 150 male associates, how many female managers are there?
Choose the most appropriate option: A) 15 B) 20 C) 25 D) 30 E) 35

Solution: 250 Employees:   90 Male, 160 Female   40 Managers, 210 Associates   150 Male Associates implies 60 Female Associates which means the remaining 30 females must be Managers   D. 30
Answer: D
A shopkeeper loses 15%,if an article is sold for Rs. 136. What should be the selling price of the article to gain 20%?  Choose the correct choice
A) s.147  B) s.148  C) s.144  D) s.189  E) s.192

Solution: Given that SP = Rs. 136 and loss = 15%   CP = [100(SP)]/(100 - l%) = (100 * 136)/85 = Rs. 160.   To get 20% profit, New SP = [(100 + p%)CP]/100   = (160 * 120)/100   = Rs.192   Answer:s.192
Answer: E
Bullock likes to keep a spare tyre in his car every time. On a certain day, he travels 1, 50,000 km and just to make the most of all the tyres, he changes the tyres between his journey such that each tyre runs the same distance.
What is the distance traveled by each tyre? Options:	A) 70,000	B) 60,000	C) 80,000	D) 90,000	E) 120,000

Solution: The distance traveled by each tyre:   4/5 * 1, 50, 000km = 120,000 km. 120,000
Answer: E
A man takes 3 hours 45 minutes to row a boat 30 km downstream of a river and 2 hours 30 minutes to cover a distance of 5 km upstream. Find the speed of the current.  Choose the correct option
A) 1 km/hr	B) 2 km/hr	C) 3 km/hr	D) 4 km/hr	E) None of these

Solution: Explanation:   First of all, we know that   speed of current = 1/2(speed downstream - speed upstream) [important]   So we need to calculate speed downstream and speed upstream first.   Speed = Distance / Time [important]   Speed upstream =(30/3 3/4)km/hr   =8 km/hr   Speed Downstream = (5/2 1/2)km/hr   =2km/hr   So speed of current = 1/2(8−2)   =3 km/hr   Option 3 km/hr
Answer: C
There are 7 man and 5 women sitting in a circle, find the all possible way so that two women wont sit together?	Choose the correct choice from the following options:
A) 6!*7P5
B) 6!*7P4
C) 6!*7P3
D) 5!*7P5
E) 4!*7P5

Solution: 7 men can sit in a circle in  (7-1)= 
 (7-1) = 6
6! ways   no two women sit together,so woman have to sit alternate to men   there will be 7 places,in which 5 women have to sit   so women can sit in 7 places as 7P5 ways   reqd ways= 6!*7P5   6!*7P5NSWER:6!*7P5
Answer: A
In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 90% of the products of M3 III are not defective. What is the percentage of defective in the stockpile?  Choose the most appropriate option.
A) 3%
B) 5%
C) 4.5%
D) 4%
E) 6%

Solution: Explanation :   Let there be 100 products in the stockpile. 40% and 30% were manufactured by M1 and M2 respectively. So, 30% are manufactured by M3.   Products from M1 = 40, from M2 = 30 and from M3 = 30.   Number of defective products from M1 = 0.03 x 40 = 1.2, from M2 = 0.01 x 30 = 0.3 and from M3 = 0.1 x 30 = 3   Therefore, total number of defective products = 4.5.   Answer : 4.5%
Answer: C
Convert the 8/36 m/s into kilometers per hour?
Choose the most appropriate option.
A) 0.8 kmph
B) 9.9 kmph
C) 1.3 kmph
D) 1.2 kmph
E) 5.7 kmph

Solution: 8/36 m/s = 8/36 * 18/5 = 8/10= 
8/10 = 4/5 = around 0.8
0.8 kmph.   0.8 kmphnswer: 0.8 kmph
Answer: A
Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $42 more. What was his original selling price?  Choose the correct choice from the following:
A) $480
B) $570
C) $660
D) $720
E) $850

Solution: Let P be the original purchase price of the product.   Bill originally sold the product for 1.1*P.   In the second scenario, the purchase price is 0.9*P.   A 30% profit means the selling price would be 1.3*0.9*P = 1.17*P   Thus, according to the information in the question, 1.17P - 1.1P = 42   0.07 = 42   P = 600   The original selling price was  600*1.1= 
 600*1.1 = 660
660.   The correct answer is $660.
Answer: C
How many times does a clock from a right angle in 24 hours?	Choose the correct choice from the following
A) 44 B) 24 C) 22 D) 40 E) 48

Solution: the minute hand makes one full 360 rotation wrt the hour hand every hour, and so it passes through all of the angles, including 90 degrees and 270 degrees wrt the hour hand every hour. Both 90 and 270 degrees are right angles. Since there are 24 hours in a day, that would be 48 right angles   Answer 48
Answer: E
If X is the set of prime single-digit numbers and Y is a set containing each of the numbers in set X raised to the power of 2, how much greater is the median of set Y than the median of set X?	Choose the correct answer:  A) 2  B) 4  C) 9  D) 13  E) 17

Solution: set X={2,3,5,7} set of prime single digit numbers   set Y={4,9.25.49} each of the numbers in set X raised to the power of 2   Median set X= (3+5)/2= 
(3+5)/2 = 4
4   Median set Y= (9+25)/2= 
(9+25)/2 = 17
17   Required set Y - set X= 13   ANSWER:13
Answer: D
A merchant marks his goods up by 20% and then offers a discount of 10% on the marked price. What % profit does the merchant make after the discount? Choose the correct choice from the following:	A) 8%	B) 10%	C) 21%	D) 15%	E) 17%

Solution: Let the price be 100.   The price becomes 120 after a 20% markup.   Now a discount of 10% on 120.   Profit=108-100   8%   answer 8%
Answer: A
A started a business with an investment of Rs. 70000 and after 3 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 43000, then the share of B is?  Choose the correct answer.
A) 33888	B) 36000	C) 27778	D) 27772	E) 81122

Solution: Ratio of investments of A and B is (70000 * 12) : (120000 * 9) = 7 : 36   Total profit = Rs. 43000   Share of B = 36/43 (43000) = Rs. 36000   Answer: 36000
Answer: B
If 3x+y=40, 2x-y=20, for integers of x and y, 3y^2=?  Choose the correct choice from the following choices:
A) 2	B) 48	C) 0	D) 10	E) 3

Solution: 3x+y = 40   2x-y = 20   5x = 60   x = 12   y = 4   3y^2 = 3*16= 
3*16 = 48
48   Answer is 48
Answer: B
At a certain fast food restaurant, Brian can buy 3 burgers, 7 shakes and 1 order of fries for exactly Rs 120. At the same place it would cost Rs 164.5 for 4 burgers, 10 shakes and 1 order of fries. How much would it cost for an ordinary meal of 1burgers, 1 shakes and 1 order of fries ? Choices
A) Rs. 31  B) Rs 41  C) Rs 21  D) Cannot be determined  E) None of these

Solution: Explanation :   Let the cost of 1 burger, 1 shake and 1 fries be x, y   and z.   Then   3x + 7y + z = 120 ... (i)   4x + 10y + z = 164.5 ... (ii)   x + 3y = 44.5 ... (iii) [ After subtracting (i) from (ii) ]   Multiplying (iii) by 4 and subtracting (ii) from it, we find   2y – z = 13.5 ...(iv)   Subtracting (iv) from (iii), we get x + y + z = 31.   Rs. 31nswer : Rs. 31
Answer: A
If 0.764 B = 1.236 A, then what is the value of (B - A)/(B + A) ?
Choose the correct option
A) 0.764	B) 0.236	C) 2	D) 0.472	E) None

Solution: Answer   Given, 0.764 0.236 = 1.236 A   ⇒ 0.236/A = 1.236 / 0.764   Now, (0.236 - A)/(0.236 + A) = (0.236/A - 1) / (0.236/A + 1)   = (1.236/0.764 - 1) / (1.236/0.764 + 1)   = (1.236 - 0.764)/(1.236 + 0.764)   = 0.472/2.000= 
0.472/2.000 = 0.236
0.236   Correct Option: 0.236
Answer: B
A certain car dealership offers its newest model in ten exterior and ten interior colors. If the ten interior colors are identical to the ten exterior colors, and the dealership sells every pair of colors except those that would result in a car with an identically colored interior and exterior, how many different color combinations are possible?
Choose the correct choice from the following answers.
A) 45	B) 81	C) 90	D) 10!/2!	E) 10!

Solution: The question says there are 10 different colors.   Since interior and exterior are to be painted with different colors, the order is important while counting the color combination.   Therefore, the number of possible ways can be found out by permutation of 2 colors out of 10 colors.   10P2 = 10!/(10-2)! = 10!/8! = 90 [10P2 = 10902*2!]   Answer: (90
Answer: C
The average of six numbers is 3.65. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ? Select the correct option:
A) 4.7 B) 4.6 C) 4.2 D) 4.1 E) 3.7

Solution: Explanation:   Sum of the remaining two numbers = (3.65 * 6) - [(3.4 * 2) + (3.85 * 2)]   = 21.90 - (6.8 + 7.7) = 21.90 - 14.5 = 7.4.   Required average = (7.4 / 2) = 3.7.   Answer: 3.7) 3.7
Answer: E
A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A? Select:
A) 2: 7  B) 2: 0  C) 2: 4  D) 2: 3  E) 2: 1

Solution: 80* 7: x* 3 = 1:1 1/2   560: 3x = 2: 3   x = 280.Answer:2: 3
Answer: D
On a certain day, Tim invested $500 at 10 percent annual interest, compounded annually, and Lana invested 900 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years?  Choose the correct choice from the following options:
A) $5 B) $12.75 C) $51.75 D) $100.75 E) $105

Solution: Compounded annually means that the interest is applied once per year. One can have 10% annual interest compounded monthly - in this case 10%/12 would be applied each month, or 10% annual interest compounded daily etc.   With respect to the problem at hand, at the end of two years, Tim would have   500(1.10)^2 = 500(1.21) = 605   and Lana would have   900(1.05)^2 = 900(1.1025) = 992.25   Thus, Tim earned 105 dollars, while Lana earned 92.25 dollars   The difference is $12.75 and the answer is $12.75.
Answer: B
If the sum of a set of 5 different positive prime numbers is 94, what is the difference between smaller 2 prime numbers between them?
Choose the most appropriate option.
A) 6	B) 4	C) 5	D) 9	E) 11

Solution: All prime numbers apart from 2 are odd.   Even + Even = Even   Odd + Even = Odd   Odd + Odd = Even   We are given 5 different prime numbers, whose sum is 94 i.e even   If we include 2, we will have 4 odd prime numbers and one even.   This sum would be odd   If we exclude 2, we will have 5 odd numbers.   This sum would be even   Hence 2 is included.   The possible 5 no. are = 11+7+2+43+31= 
11+7+2+43+31 = 94
94   difference between smaller 2 prime numbers between them= 7 - 2= 
7 - 2 = 5
5   Ans - 5
Answer: C
If 6 (A's capital) = 8 (B's capital) = 12 (C's capital). Then the ratio of their capitals is? Choose the most appropriate option:
A) 20:15:16	B) 4:3:1	C) 4:3:2	D) 20:15:11	E) 20:15:19

Solution: 6A = 8B = 12 4:3:2   A:B:4:3:2 = 1/6:1/8:1/12   = 4:3:2   Answer: 4:3:2
Answer: C
How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Choose the correct choice: A) 22 B) 30 C) 88 D) 26 E) 12

Solution: Speed of train relative to man = 63 - 3= 
63 - 3 = 60
60 km/hr.= 60 * 5/18 = 50/3 m/sec.   Time taken to pass the man = 500 * 3/50= 
500 * 3/50 = 30
30 sec.   Answer: 30
Answer: B
The ratio of two numbers is 3:4 and their sum is 35. The greater of the two numbers is?
Choose the correct choice from the following choices.
A) 12	B) 20	C) 16	D) 17	E) 19

Solution: 3:4   Total parts = 7   = 7 parts --> 35 (7 Ã— 5 = 35)   = 1 part ---->5 (1 Ã— 5 = 5)   = The greater of the two number is = 4   = 4 parts ----> 20 (4 Ã— 5 = 20)   20)
Answer: B
Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 26^a and y = 9^b, which of the following is a possible units digit of xy?	Select the correct option.
A) 1
B) 6
C) 5
D) 7
E) 8

Solution: Only Units digit of X and Y contribute to the Units digit of XY.   Finding all values ofXfor positive values ofa   When,   a=1; X=26   a=2; X=676   a=3; X=17576........ Units digit repeat in a cycle of 6,6,6,6......   Similarly, Finding all values of Y for positive values of b   When,   b=1; Y=9   b=2; Y= 81   b=3; Y= 729....... Units digit repeat in cycle of 9,1,9,1....   So, possible value of Units digit of XY can be found by considering all possibilities of Units digit of X and Y   When X=6 and Y=9: Units digit of XY = 4   When X=6 and Y=1: Units digit of XY = 6   When X=6 and Y=9: Units digit of XY = 4   When X=6 and Y=1: Units digit of XY = 6   Only two possibilities for Units digit of XY i.e. 4 and 6.   Only 6 is given in answer choices, therefore answer is 6
Answer: B
A coin is tossed live times. What is the probability that there is at the least one tail?	Choose the correct answer:
A) 31/32
B) 31/37
C) 31/67
D) 31/17
E) 31/31

Solution: Let P(T) be the probability of getting least one tail when the coin is tossed five times.   = There is not even a single tail.   i.e. all the outcomes are heads.   = 1/32 ; P(T) = 1 - 1/32   = 31/32   31/32nswer: 31/32
Answer: A
A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. What is the speed of the second train ?
Select.
A) 48 km/hr	B) 54 km/hr	C) 66 km/hr	D) 82 km/hr	E) 89 km/hr

Solution: Let speed of d second train= xkm/hr   82 km/hristance covered=(108+112)= 
(108+112) = 220
220m=0.22km   Time=6sec= 6/3600hr =1/600hr   So   1/600hr= 0.22km/(50+x)   x=82km/hr   answer :82 km/hr
Answer: D
The average of first five multiples of 7 is?
Pick:
A) 6 B) 8 C) 9 D) 5 E) 21

Solution: Average = 7(1 + 2 + 3 + 4 + 5)/5   = 105/5= 
105/5 = 21
21.   Answer:21
Answer: E
The length of the bridge, which a train 140 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choose the most appropriate option:
A) 328  B) 279  C) 235  D) 288  E) 211

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (140 + X)/30 = 25/2 ==> 2(140 + X) = 750 ==> X = 235 m.Answer: 235
Answer: C
If 2^x + 2^y = x^2 + y^2, where x and y are non negative and non zero integers, what is the greatest possible value of x + y possible from options below?	Choose the correct choice from the following options:	A) 4	B) 5	C) 2	D) 3	E) none of these

Solution: x + y for x and y 2^x + 2= 
+ 2 = 2
x^2 + y^2   A. x= y x=y=2 4 + 4 = 4 + 4 right   B. x=2, y=3 4 + 8 = 4 + 9 wrong   C. x=1, y=1 2 + 2 = 1 + 1 wrong   D. x=2, y =1 4 + 2 = 4 + 1 wrong   E. as option 4 is correct E is wrong   My answer is 4.
Answer: A
A jar contains only red, yellow, and orange marbles. If there are 1 red, 5 yellow, and 4 orange marbles, and 3 marbles are chosen from the jar at random without replacing any of them, what is the probability that 2 yellow, 1 red, and no orange marbles will be chosen?  Choose the correct choice from the following choices:
A) 1/60
B) 1/45
C) 2/45
D) 3/22
E) 5/22

Solution: I started by finding the 2 probabilities, without calculation, like this:   P(YYR)   P(YRY)   P(RYY)   I calculated the first one and ended in 1/22. I looked at the answer choices at this point and saw answer D: 1/45.   This helped me realise that for the 3 possible orderings the probabbility is the same. So, it should be (1/45)*(1), which indeed is 1/45.   1/45
Answer: B
The average age of husband, wife and their child 3 years ago was 25 years and that of wife and the child 5 years ago was 18 years. The present age of the husband is:	Choose the correct choice from the following.
A) 34 Years
B) 36 Years
C) 38 Years
D) 39 Years
E) 40 Years

Solution: Sum of the present ages of husband, wife and child = (25 x 3 + 3 x 3) years = 84 years.   Sum of the present ages of wife and child = (18 x 2 + 5 x 2) years = 46years.   Husband's present age = (84 - 46)= 
(84 - 46) = 38
38 years.   answer : 38 Years
Answer: C
a person travels from his house to office from 11:10am to 12:10 am and covers a distence of 20km. find the average speed of the person. Select the correct option
A) 20.1km/h
B) 20.5km/h
C) 21.1km/h
D) 22.1km/h
E) 20km/h

Solution: time=12:10-11:10=1 hour   distance=20km   speed=20*1= 
20*1 = 20
20km/h   ANSW20km/hR:20km/h
Answer: E
When processing flower-nectar into honey bees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 25% water?	Choose the correct choice.
A) 1.2 kg  B) 1.5 kg  C) 1.7 kg  D) 1.9 kg  E) None of these

Solution: Explanation :   Flower-nectar contains 50% of non-water part.   In honey this non-water part constitutes 75% (100-25).   Therefore 0.5 X Amount of flower-nectar = 0.75 X Amount of honey = 0.75 X 1 kg   Therefore amount of flower-nectar needed =   (0.75/0.51)kg=1.5 kgs   Answer : 1.5 kg
Answer: B
Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar?
Choices.
A) 3388 B) 27678 C) 6000 D) 2977 E) 27681

Solution: 10 * 4/100 * 5 * 90/100 = 25/100 * 15/100 * 8/100 * x   10 * 20 * 90 = 15 * 2 * x => x = 6000   Answer:6000
Answer: C
A sum of money is sufficient to pay C's wages for 12 days and D's wages for 4 days. The same money is sufficient to pay the wages of both for?
Choose the correct choice from the following:
A) 3	B) 4	C) 5	D) 2	E) 1

Solution: Let the total money be $x   C's 1day work = $ x/12   D's 1day work = $ x/4   C+D 1day work = $ x/3   Money is sufficient to pay the wages of both for 3days   3nswer is 3
Answer: A
what is the next term of this series6,10,9,15,12,20,15,25,18...?
Choose the correct option:
A) 9	B) 10	C) 11	D) 12	E) 30

Solution: 3&2=6;    5*2= 
 5*2 = 10
10;    3*3= 
 3*3 = 9
9;    3*5= 
 3*5 = 15
15   3*4= 
3*4 = 12
12   5*4= 
5*4 = 20
20   3*5= 
3*5 = 15
15   5*5= 
5*5 = 25
25   3*6= 
3*6 = 18
18   5*6= 
5*6 = 30
30.   ANSW30R:30
Answer: E
A beekeeper has 300,000 bees living in seven beehives. Among these beehives, the sizes of the beehives are proportional to the numbers of bees living in them. No beehive has less than 80% the number of bees of any other beehive. What is the maximum possible number of bees that the greatest beehive could have?
Choose the correct choice from the following options:
A) 40,000  B) 51724  C) 60,000  D) 80,000  E) 90,000

Solution: x be the # of bees in the hive with the max # of bees. Let other hives have same # of bees. So, x+6*(0.8)*x = 300,000 => 5.8x = 300,000 => x = 51724.   51724 is the answer.
Answer: B
Surekha started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajesh joined him with an amount of Rs. 35,000. In 2001, Surekha invested another additional amount of Rs.10,000 and Jay joined them with an amount of Rs.35,000. What will be Rajesh's share in the profit of Rs.2,40,000 earned at the end of 3 years from the start of the business in 1999? Choose the most appropriate option:  A) Rs 45000  B) Rs 50000  C) Rs 70000  D) Rs 80000  E) None

Solution: Surekha:Rajesh:Jay= (25000×12+35000×12+45000×12):(35000×24) : (35000×12) = 1260000 : 840000 : 420000 = 3 : 2 : 1. Rajesh's share =Rs.(240000×2/6) = Rs.80000.   Answer Rs 80000
Answer: D
Rahul can do a work in 3 days while Rajesh can do the same work in 2days. Both of them finish the work together and get $105. What is the share of Rahul?  Choose the correct choice from the following answers:
A) $50
B) $42
C) $60
D) $100
E) $90

Solution: Rahul's wages: Rajesh's wages = 1/3 : 1/2 = 2:3   Rahul's share = 105*2/5= 
105*2/5 = 42
$42   Answer is $42
Answer: B