MU-NLPC/Calc-aqua_rat huggingface dataset:
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 2 years and that for 14 years?	Pick one.
A) 3 : 2	B) 1 : 7	C) 2 : 3	D) 3 : 1	E) 2 : 1

Solution: Explanation :   Simple Interest = PRT/100   Here Principal(P) and Rate of Interest (R) are constants   Hence, Simple Interest ∝ T   Required Ratio = Simple Interest for 2 years/Simple Interest for 14 years   =T1/T2   =2/14   =1/7   =1:7   Answer : Option 1 : 7
Answer: B
The S.I. on a certain sum of money for 5 years at 10% per annum is half the C.I. on Rs. 5000 for 2 years at 12% per annum. The sum placed on S.I. is?
Choose the correct choice from the following answers.
A) 1585 B) 1454 C) 1656 D) 2458 E) 1272

Solution: C.I. = [5000 * (1 + 12/100)2 - 5000]= (5000 * 28/25 * 28/25 - 5000) = Rs. 1272.Sum = (636 * 100)/(5 * 10)= Rs.1272Answer:1272
Answer: E
There are 8 stores in town that had a total of 22 visitors on a particular day. However, only 12 people went shopping that day; some people visited more than one store. If 8 people visited exactly two stores each, and everyone visited at least one store, what is the largest number of stores anyone could have visited?
Choose the correct choice from the following.
A) 2	B) 3	C) 4	D) 5	E) 6

Solution: 8 people visited 2 stores each for 16 visits.   To maximize the number of stores that one person visited, let's assume that 3 people visited 1 store each. The number of remaining visits is   22 - 16 - 3= 
  22 - 16 - 3 = 3
3, which is the maximum that one person could have visited.   The answer is 3.
Answer: B
2, 5, 10, 17, 26, ?  Choices
A) 35  B) 36  C) 48  D) 49  E) 37

Solution: The sequence is a series of squares+1,   1*1+1, 2*2+1, 3*3+1, 4*4+1, 5*5+1, 6*6+1=37   Answer : 37.
Answer: E
If the annual rate of simple interest increases from 10% to 12 1/2 %, a man's yearly income increases by Rs. 1250. His principal in Rs. is?	Choose the correct choice from the following answers
A) 22999 B) 50000 C) 26709 D) 78766 E) 17618

Solution: Let the sum be Rs. x. Then,   (x * 25/2 * 1/100) - (x * 10 * 1)/100 = 1250   25x - 20x = 250000   x = 50000   Answer: 50000
Answer: B
At a special sale, 12 tickets can be purchased for the price of 4 tickets. If 12 tickets are purchased at the sale, the amount saved will be What percent of the original price of the 12 tickets? Select the correct option.
A) 20% B) 33.3% C) 40% D) 60% E) 66.6%

Solution: let the price of a ticket be Rs.100, so 4 tickets cost 400 & 12 tickets cost 1200   12 tickets purchased at price of 4 tickets ie., for 400, so amount saved s Rs.800,   % of 5 tickets = (800 /1200)*100 =66.6 %   ANSW66.6%R:66.6%
Answer: E
Twelve machines, each working at the same constant rate, together can complete a certain job in 6 days. How many additional machines, each working at the same constant rate, will be needed to complete the job in 3 days?	Answers:
A) 14	B) 12	C) 15	D) 16	E) 18

Solution: Rate of one machine = 1 job / (12*6) days   let X = number of machines needed to complete the job in 3 days   1/(12*6) * 3 * X = 1 job   X = 24   24-12= 
24-12 = 12
12   ANSWER: 12
Answer: B
In how many ways can a group of 11 friends be seated round 2 tables if one of the tables can seat 7 and the other can seat 4 people? Pick:
A) 11C6 * 9! *4!  B) 11C3 * 6! *3!  C) 15C4 * 9! *3!  D) 15C2 * 10! *3!  E) 16C5 * 10! *4!

Solution: 7 people can be selected from 11 people in 11C7 ways.   Remaining 4 people can be selected from 4 people in 4C4 ways.   Now, arranging 7 people on a round table = (7-1)= 
(7-1) = 6
6!   Arranging 4 people on a round table= (4-1)= 
(4-1) = 3
3!   Hence, total number of ways= 11C7 * 6! * 4C4 * 3!   = 11C3 * 6! * 3!   11C3 * 6! *3!
Answer: B
Divide Rs. 1800 among A, B and C so that A receives 2/5 as much as B and C together and B receives 1/5 as A and C together. A's share is?  Choose the correct choice from the following answers:
A) 400
B) 500
C) 375
D) 450
E) 600

Solution: A+B+C = 1800   A = 2/5(B+C); B = 1/5(A+C)   A/(B+C) = 2/5   A = 1/6 * 3600= 
1/6 * 3600 = 600
> 600   Answer: 600
Answer: E
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 47, the how old is B?
A.	7
B.	8
C.	9
D.	10
Explanation:
Choose the correct choice from the following answers
A) 5  B) 7  C) 18  D) 10  E) 11

Solution: Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.   (2x + 2) + 2x + x = 47   5x = 45   x = 9.   Hence, B's age = 2x = 18 years.   Answer: Option 18
Answer: C
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 231 but three tickets from city A to B and two tickets from city A to C cost Rs. 219. What are the fares for cities B and C from A ?	Choose the correct choice.
A) s. 4, Rs. 23  B) s. 13, Rs. 17  C) s. 15, Rs. 14  D) s. 17, Rs. 51  E) s. 39, Rs. 51

Solution: If fares for cities B and C from A are x and y respectively, then   2x+3y=231 or 6x+9y= 693   3x+2y =219 or 6x+4y= 438   subtracting   5y = 255   y= Rs 51.   Hence E. Rs. 39, Rs. 51   ANSWs. 39, Rs. 51R:s. 39, Rs. 51
Answer: E
A trader purchases several articles at the rate of 13 for Rs. 10 and sells them at the rate of 10 for Rs. 13. What is his gain/loss? Select:
A) 69 % gain  B) 56.25 % gain  C) 56.25 % loss  D) 25 % loss  E) None of these

Solution: Explanation:   We have, C. P of 13 articles = Rs. 10   & S. P of 10 articles = Rs. 13   S. P of 13 articles = ?   = (13 * 13) / 10= 
(13 * 13) / 10 = 169/10 = around 16.9
16.9   Gain= [(16.9 – 10)/10] * 100 = 69 %   69 % gainNSWER: 69 % gain
Answer: A
How many gallons of milk that is 10 percent butter-fat must be added to 8 gallons of milk that is 45 percent butterfat to obtain milk that is 20 percent butterfat?	Choose one
A) 6  B) 12  C) 14  D) 16  E) 20

Solution: Equate the fat:   0.1x + 0.45*8 = 0.2(x + 8) --> x = 20.   Answer: 20.
Answer: E
The inverse ratio of 3: 2: 1 is?	Options:  A) 1:2:3  B) 2:3:1  C) 3:1:2  D) 2:3:6  E) 4:5:7

Solution: Explanation:   1/3: 1/2: 1/1 = 2:3:6   ANSWER IS 2:3:6
Answer: D
?% of 360 = 165.6 Choose one.
A) 277
B) 36
C) 64
D) 72
E) 46

Solution: ?% of 360 = 165.6   or, ? = 165.6×100/360=46   Answer 46
Answer: E
Speed of a boat in standing water is 9 kmph and the speed of the stream is 6 kmph. A man rows to place at a distance of 170 km and comes back to the starting point. The total time taken by him is:	Answers: A) 12 hours B) 68 hours C) 36 hours D) 58 hours E) None

Solution: Sol.   Speed upstream = 3 kmph; Speed downstream = 15 kmph.   ∴ total time taken = [105/7.5 + 105/10.5] hours = 68 hours.   Answer 68 hours
Answer: B
One quarter of the workers at the factory is clerical, one fifth is technical, half are administrative and the other 25 are managerial. How many workers total are there in the factory?	Select the correct option:
A) 250
B) 366
C) 400
D) 500
E) 2500

Solution: 1/2x + 1/4x +1/5x = 19/20x   Remaining 1/20 x= 25   x= 25*20= 
25*20 = 500
500   500 is the answer
Answer: D
The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Answers
A) 50 kmph  B) 65 kmph  C) 75 kmph  D) 85 kmph  E) 90 kmph

Solution: Explanation:   S = (90 + 60)/2= 
(90 + 60)/2 = 75
75 kmph   75 kmph)
Answer: C
The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:	Choose the correct option:
A) 4/5
B) 5/4
C) 3/5
D) 2/5
E) 3/4

Solution: Let the required fraction be x. Then 1/X - X = 9/20   (1-X^2)/X = 9/20 ==> 20 - 20X^2 = 9X   20X^2 + 9X - 20 = 0   20X^2 + 25X - 16X - 20 = 0   5X(4X + 5) - 4(4X + 5) = 0   (4X + 5)(5X - 4) = 0   X = 4/5 (neglecting -ve value)   4/5nswer 4/5)4/5
Answer: A
An error 2% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?  Pick one:  A) 4.04  B) 4.02  C) 4.01  D) 4.05  E) 4.06

Solution: Formula for Calculation of Percentage error is:   =(x−y−(xy)/100)%   =(2+2+(2×2)/100)%=4.04%   4.04nswer is 4.04.
Answer: A
What percent of a day is 6 hours? Choices.
A) 6.25%  B) 20%  C) 25%  D) 12.5%  E) 18%

Solution: Total hours in a day = 24   Required percent   =6/24×100=25% Answer: Option 25%
Answer: C
An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and $0.40 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold? Answers.
A) 130,000  B) 300,000  C) 380,000  D) 550,000  E) 420,000

Solution: Total royalties for first 100.000 books = .8*100,000= 80,000   Total royalties for the rest of the books = 260,000-80,000 = 180,000   Remaining books = 180,000/0.4 = 450,000   Total books = 450,000+100,000 = 550,000 Answer 550,000
Answer: D
Out of a total of 1,000 employees at a certain corporation, 52 percent are female and 40 percent of these females work in research. If 55 percent of the total number of employees work in research, how many male employees do NOT work in research?	Options.
A) 520 B) 480 C) 392 D) 138 E) 88

Solution: total number of female employees =52% =520   female employees working in research =(2/5)*520= 
(2/5)*520 = 208
208   Total no of employees working in research=55% =550   Total male employees =48%=480   male employees working in research =550-208= 
550-208 = 342
342   male employees not working in research=480-342= 
480-342 = 138
138   Answer 138
Answer: D
You need to climb 10 stairs. At each support, you can walk one stair or you can jump two stairs.
In what number alternative ways you'll climb ten stairs? Choose the correct choice from the following answers.
A) 99  B) 79  C) 55  D) 89  E) 66

Solution: 89
Answer: D
The sale price sarees listed for Rs.175 after successive discount is 20% and 5% is?	Choose one.
A) 187  B) 133  C) 142  D) 178  E) 175

Solution: 175*(80/100)*(95/100)= 
175*(80/100)*(95/100) = 133
133   Answer:133
Answer: B
The radius of a semi circle is 7 cm then its perimeter is? Choose the correct choice
A) 32.8	B) 36	C) 32.1	D) 32.2	E) 32.9

Solution: Radius = 7 cm then Diameter = 14 cm   1/2*22/7*14+14= 
1/2*22/7*14+14 = 36
36   Answer : 36
Answer: B
If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 52, what is the compound interest on the same sum at the rate and for the same time?
Options:
A) s. 53.30 B) s. 53.22 C) s. 51.219 D) s. 53.18 E) s. 51.10

Solution: Explanation:   Sum = (52 * 100) / (2 * 5) = Rs. 520   Amount = [520 * (1 + 5/100)2] = Rs. 573.3   C.I. = (573.3 - 520) = Rs. 53.30.   s. 53.30nswer:s. 53.30
Answer: A
What is the least positive integer that is not a factor of 30! and is not a prime number? Pick
A) 31	B) 32	C) 33	D) 62	E) 64

Solution: A) 31 is prime and per the question stem we cannot use this   B) 32 = 2 * 16 - within 30! we have a 2 and 16 so 32 will be a factor of 30!   C) 33 = 3 *11 - again within 30! we have a 3 and an 11 so 33 will be a factor of 30!   62) 62 = 31 * 2 - Bingo 31 is not included in 30!   E) 64 = 16 * 4 - both 16 and 4 are multiplied in 30!   Answer is 62!
Answer: D
Find the slope of the line perpendicular to the line y = (1/2)x - 7 Choose the correct choice from the following choices.
A) 1
B) 2
C) -2
D) 4
E) 5

Solution: Two lines are perpendicular if the product of their slopes is equal to -1. The slope of the given line is equal to 1 / 2. If m is the slope of the line perpendicular to the given line, then   m × (1/2) = -1   Solve for m   m = - 2   correct answer -2) -2
Answer: C
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?  Choices.
A) 1350
B) 1197
C) 1927
D) 1112
E) 1921

Solution: 1350rea = (l + b +2d) 2d   = (75 + 55 +2.5 * 2) 2*2.5 => 675   675 * 2 = Rs.1350   1350nswer: 1350
Answer: A
There are 9 books on a shelf that consist of 4 paperback books and 5 hardback books. If 4 books are selected at random without replacement, how many different combinations are there which include at least one paperback book?	Choose the correct choice:
A) 88
B) 99
C) 110
D) 121
E) 132

Solution: The total number of ways to select 4 books is 9C4 = 126   The number of ways which do not include any paperbacks is 5C4 = 5   The number of combinations with at least one paperback is  126-5= 
 126-5 = 121
121   The answer is 121.
Answer: D
A man ran 20 miles in 2 hours 2 minutes. What was the average speed of the man in miles per hour?	Select:	A) 9.72 miles / hour	B) 9.73 miles / hour	C) 9.75 miles / hour	D) 9.78 miles / hour	E) 9.79 miles / hour

Solution: We first convert the time of 2 hours 2 minutes in minutes   2 hours 2 minutes = 2* 60 + 2= 
2* 60 + 2 = 122
122 minutes   Average speed S is given by distance / time. Hence   S= 20 miles / 122 minutes = 0.163mile / minute   = 9.78 miles / hour   correct answer 9.78 miles / hour
Answer: D
The current birth rate per thousand is 37, where as corresponding death rate is 11 per thousand. The net growth rate in terms of population increase in percent is given by?
Choose the correct choice:
A) 2.6% B) 3.2% C) 3.9% D) 4% E) 5.1%

Solution: Net growth on 1000 = 37-11= 
37-11 = 26
26   Net growth on 100= 26*100/1000= 
26*100/1000 = 13/5 = around 2.6
2.6%   2.6%nswer is 2.6%
Answer: A
Tom purchased 8kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg. How much amount did he pay to the shopkeeper?
Select the correct option:
A) A)1040
B) B)1045
C) C)1055
D) D)1060
E) E)1235

Solution: Cost of 8 kg apples= 70 × 8 = 560.   Cost of 9 kg of mangoes = 75 × 9 = 675.   Total cost he has to pay = 560 + 675= 
560 + 675 = 1_235
1235.   1235)
Answer: E
The area of sector of a circle whose radius is 10 metro and whose angle at the center is 42Â° is?  Choose the correct choice:  A) 36.7  B) 52.9  C) 52.8  D) 52.1  E) 52.2

Solution: 42/360 * 22/7 * 10 * 10 = 36.7 m2   36.7nswer: 36.7
Answer: A
A runs twice as fast as B and gives B a start of 64m.How long should the racecourse be so that A and B might reach in the same time? Choose the correct option:
A) 75 m.
B) 128 m.
C) 150 m.
D) 100 m.
E) None of the above

Solution: ratio of speeds of a and b is 2:1   b is 64m away from a but we know that a covers 1 meter(2-1) more in every second than b   the time taken for a to cover 64m is   64/1= 
  64/1 = 64
64m   so the total time taken by a and b to reach=2*64= 
2*64 = 128
128m   ANSWER:128 m.
Answer: B
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is? Choices:  A) 228  B) 271  C) 500  D) 277  E) 812

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (800 + x)/60 = 65/3   x = 500 m.Answer: 500
Answer: C
A and B can do a work in 4 hours and 12 hours respectively. A starts the work at 6 AM and they work alternately for one hour each. When will the work be completed? Choose the correct choice from the following:
A) 5	B) 4	C) 3	D) 2	E) 6

Solution: Work done by A and B in two hours, = First hour A + Second hour B = (1/4) + (1/12) = 1/3.   total time required to complete the work = 2 (3) = 6 days   ANSW6R 6
Answer: E
If x, y, and z are positive integers and x = 4y = 7z, then the least possible value of x + y + z is	Choose the correct choice from the following choices:
A) 33
B) 40
C) 49
D) 39
E) 84

Solution: x + y + z = x/4 + x + x/7   = (7 + 28 + 4 )x/28 =39x/28   39 is not divisible by 28, so for least value, x = 28   Answer - 39
Answer: D
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?	Choose one
A) 399	B) 240	C) 277	D) 299	E) 712

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 20= 
15 * 20 = 300
300 m.   Let the length of the platform be x m . Then,   (x + 300)/36= 15 => x = 240 m.   Answer: 240
Answer: B
At a certain company, two-thirds of the employees had cell phones and two-fifths had pagers. If one-third of the employees had neither cell phones nor pagers then what fraction of the employees had both cell phones and pagers?  Answers
A) 7/5  B) 6/11  C) 2/5  D) 1/3  E) 4/15

Solution: Let there be 15 employees   2/5ell Phone = 10   Pagers = 6   Neither Pager Nor 2/5ell Phone = 5   So, 10 = 10 + 6 - x   Or, x = 6   So, fraction of the employees had both cell phones and pagers = 6/15 => 2/5   ANSWER:2/5
Answer: C
Four of the five parts numbered (a), (b), (c), (d) and (e) are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer. Choose the correct choice.
A) 732.534 + 412.256 – 544.29  B) 1256.214 – 355.514 – 300.2  C) 246.86 + 439.38 – 80.74  D) 1415.329 + 532.4 – 1347.229  E) 398.14 – 239.39 + 441.75

Solution: (c) = 605.5 whereas the other parts are equal to 600.5   Answer 246.86 + 439.38 – 80.74
Answer: C
On a test average (arithmetic mean) test score for 9 students is 80. What must be 10th student's score that average score for 10 students to be 82?	Select the correct option:
A) 100
B) 90
C) 80
D) 70
E) 60

Solution: (9*80+x)/10=82   x=(10*82)-(9*80)   x= 820 - 720= 
820 - 720 = 100
100   Correct answer is 100
Answer: A
What is the greatest value of m such that 4^m is a factor of 29! ?
Select:
A) 12	B) 5	C) 4	D) 3	E) 2

Solution: Pretty simple, really.   If m = 12, then 4m = 48, which is 24x2, both of which are included in 29!   Since 12 is the largest number here, its the answer.   12nswer is 12
Answer: A
A train passes a platform in 40 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is  Pick:
A) 280 meter	B) 240 meter	C) 200 meter	D) 300 meter	E) None of these

Solution: Explanation:   Speed of the train = 54 km/hr = (54×10)/40 m/s = 15 m/s   Length of the train = speed × time taken to cross the man = 15×20 = 300 m   Let the length of the platform = L   Time taken to cross the platform = (300+L)/15   => (300+L)/15 = 40   => 300+L = 15×40 = 600   => L = 600-300= 
600-300 = 300
300 meter   Answer: Option 300 meter
Answer: D
If PQRST is a parallelogram what it the ratio of triangle PQS & parallelogram PQRST Pick one:	A) 1/2	B) 1/3	C) 1/4	D) 1/5	E) 1/6

Solution: area of parallelogram is=base*height----1= 
----1 = 1
1/2(base*height)-------2   devide equation 2 by 1   1/2   1/2NSWER:1/2
Answer: A
If the number 42573 * is exactly divisible by 72, then the minimum value of * is:	Choose the correct choice from the following answers:
A) 4  B) 5  C) 2  D) 6  E) 1

Solution:   If the number 42573 * is exactly divisible by 72, then the minimum value of * is:   A.	4   B.	5   C.	6   D.	7   E.	8   Answer: Option C   Explanation:   72 = 9 x8, where 9 and 8 are co-prime.   The minimum value of x for which 73x for which 73x is divisible by 8 is, x = 6.   Sum of digits in 425736 = (4 + 2 + 5 + 7 + 3 + 6)= 
(4 + 2 + 5 + 7 + 3 + 6) = 27
27, which is divisible by 9.   Required value of * is 6.   ANSWER 6
Answer: D
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?	Pick:
A) 266	B) 288	C) 245	D) 776	E) 232

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2 ==> 2(130 + X) = 750 ==> X   = 245 m.   Answer:245
Answer: C
A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
Choose the correct choice from the following:
A) 28% B) 25% C) 95% D) 05% E) 22%

Solution: 800 --- 200   100 --- ? => 25%   Answer:25%
Answer: B
How many five-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 6 cannot appear more than once in the number.	Pick one
A) 2300 B) 2385 C) 2380 D) 2375 E) 2390

Solution: N=(4*5-1)*5*5*5= 
(4*5-1)*5*5*5 = 2_375
2375   where   4 cases of first digit {2,4,6,8}   5 cases of second digit {0,2,4,6,8}   1 case of 66 for two leftmost digit   5 cases of third digit {1,3,5,7,9}   5 cases of fourth digit {1,3,5,7,9}   5 cases of fifth digit {1,3,5,7,9}   2375
Answer: D
Fresh grapes contain 75% water by weight and raisins obtained by drying fresh grapes contain 25% water by weight. How many kgs of fresh grapes are needed to get 25 kgs of raisins?
Choose the correct choice from the following answers:  A) 75 kgs  B) 64kgs  C) 72 kgs  D) 65 kgs  E) 70 kgs

Solution: The weight of non-water in 20 kg of dried grapes (which is 100-25= 
100-25 = 75
75% of whole weight) will be the same as the weight of non-water in x kg of fresh grapes (which is 100-75= 
100-75 = 25
25% of whole weight),   so 25*0.75= x*0.25   --> x = 75.   75 kgsnswer: 75 kgs.
Answer: A
The average salary of all the employees in a small company is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of employees in the company is:
Choose the correct option
A) 20	B) 21	C) 22	D) 23	E) 24

Solution: Explanation :   Let the total number of employees be x. then,   8000x = (12000 x 7) + 6000 (x 7)   2000x = 42000   x = 21.   Answer : 21
Answer: B
Which of the following integers is NOT a divisor of x if x = (21)(3^7) – (2)?
Choose the correct choice from the following options:  A) 5  B) 11  C) 12  D) 25  E) 55

Solution: (21)(3^7) is divisible by 3 but 2 is not divisible by 3.   Therefore (21)(3^7) - 2 is not divisible by 3 and thus not divisible by 12.   The answer is 12.
Answer: C
If Jake loses 8 pounds, he will weigh half as much as his sister. Together they now weigh 278 pounds. What is Jake's present weight, in pounds?
Choose the correct choice from the following options:
A) 131
B) 135
C) 188
D) 147
E) 188

Solution: J = Jake’s current weight, in pounds   S = Sister’s current weight, in pounds   We are told that “If Jake loses 8 pounds, he will weigh twice as much as his sister.We put this into an equation:   J – 8 = S/2   J = S/ + 8 (Equation 1)   Next, we are told that “Together they now weigh 278 pounds.” We can also put this into an equation.   J + S = 278 (Equation 2)   To solve this equation, we can substitute 2S + 8 from Equation 1 for the variable J in Equation 2:   S/2 + 8 = 278-S   3S = 540   S = 90   J + 90 = 278   J = 188   Answer: 188
Answer: C
Club X has more than 70 but fewer than 100 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 3 members at one table and 5 members at each of the other tables. If they sit at tables with 6 members at each table except one and fewer than 6 members at that one table, how many members will be at the table that has fewer than 6 members?
Choose the correct choice from the following answers:
A) 1.	B) 2.	C) 3.	D) 4.	E) 5.

Solution: The number of members is 4j+3 = 5k+3.   Let's start at 4(17)+3 = 71 and keep adding 4 until we find a number in the form 5k+3.   71, 75, 79, 83 = 5(16) + 3   The club has 83 members.   83/6 = 6(13) + 5   The answer is 5..
Answer: E
If f(x) = 2x^2 + y, and f(2) = 60, what is the value of f(5)?  Choose the correct choice:
A) 104
B) 60
C) 52
D) 50
E) 102

Solution: f(x) = 2x^2 + y   f(2) = 60   => 2*(2)^2 + y = 60   => 8 + y = 60   => y = 52   f(5)= 2*(5)^2 + 52   = 102   Answer 102
Answer: E
If x = y^2, and x and y are positive integers, which of the following numbers could be the value of x? Answers:
A) 10,573 B) 11,908 C) 12,322 D) 13,924 E) 14,537

Solution: The square of an integer can have a units digit of 0, 1, 4, 5, 6, or 9.   The answer is 13,924.
Answer: D
A man purchased a grinder for Rs. 660 and sold it at a profit of 10%. The selling price is:	Choose the correct choice from the following
A) Rs. 736
B) Rs. 812
C) Rs. 660
D) None of these
E) Cannot be determined

Solution: s.p.=110/100 × 600 = 660   Answer: Rs. 660
Answer: C