MU-NLPC/Calc-aqua_rat huggingface dataset:
A certain number when divided by 39 leaves a remainder 19, what is the remainder when the same number is divided by 13?
Select
A) 7
B) 8
C) 9
D) 6
E) 4

Solution: Explanation:   39 + 19= 
39 + 19 = 58
58/13= 6 (Remainder)   Answer: 6
Answer: D
At a certain company, each employee has a salary grade s that is at least 1 and at most 7. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s – 1). An employee with a salary grade of 7 receives how many more dollars per hour than an employee with a salary grade of 1?  Choose one
A) $0.50	B) $1.00	C) $1.25	D) $1.50	E) $1.75

Solution: Salary grade of 7 is p(7)=9.50+0.25(7–1)=9.50+0.25*6;   Salary grade of 1 is p(1)=9.50 + 0.25(1–1)=9.50;   p(7)-p(1)=9.50+0.25*6-9.50=1.5.   Answer: $1.50.
Answer: D
The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 30? Choose the correct choice from the following options:
A) 30
B) 14
C) 50
D) 42
E) 70

Solution: Greatest common factor n and 16 is 4 = 2*2 * 2*2   Greatest common factor n and 45 is 3 = 3*3 *5   Greatest common factor n and 30 is = 2*3*5= 
2*3*5 = 30
30   30
Answer: A
Working alone, sawyer finishes cleaning half the house in a third of the time it takes Nick to clean the entire house alone. sawyer alone cleans the entire house in 6 hours. How many hours will it take Nick and sawyer to clean the entire house if they work together?	Choose the correct option.
A) 1.5
B) 2
C) 2.4
D) 3
E) 3.6

Solution: Answer is 3.6 hours.   sawyer does the complete house in 6 hours while Nick does it in 9 hours. 1/ (1/6+1/9)= 3.6   answer is 3.6
Answer: E
A coin is tossed until sequence HTH appears (H denotes the fall of heads, T denotes the fall of tails). What is the probability W that the game will end after the fourth throw? Choose one.
A) 1/16  B) 3/32  C) 1/8  D) 3/16  E) 1/4

Solution: Another approach:   Two likely scenarios would be : HHTH or THTH   for each of the scenarios probability would be 1/16   So Probablilty W is 1/16 + 1/16 = 1/8.1/8
Answer: C
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?	Choose the correct choice from the following answers
A) 52.6 m2	B) 58.8 m2	C) 52.8 m2	D) 52.3 m2	E) 51.8 m2

Solution: 42/360 * 22/7 * 12 * 12= 
42/360 * 22/7 * 12 * 12 = 264/5 = around 52.8
52.8 m2   Answer: 52.8 m2
Answer: C
A motor starts with the speed of 70 kmph with its speed increasing every two hours by 10 kmph. In how many hours will it cover 345 kms?	Select:	A) 2 1⁄4 hours	B) 4 1⁄2 hours	C) 4 hours 5 minutes	D) Cannot be determined	E) None of these

Solution: Distance covered in first two hours = 70 × 2 = 140 km   Distance covered in next two hours = 80 × 2 = 160 km   Distance covered in first four hours   140 + 160= 
140 + 160 = 300
300 km   Remaining distance= 345 – 300 = 45 km.   Now, this distance will be covered at the speed of 90 km/hr.   ∴ Time taken = 45⁄90 = 1⁄2 hour.   Total time= 4 + 1⁄2 = 41⁄2 hour   Answer 4 1⁄2 hours
Answer: B
0.5, 0.55, 0.65, 0.8, ?	Choose one:	A) 3	B) 1	C) 5	D) 8	E) 9

Solution: 1   1   The pattern is + 0.05, + 0.10, + 0.15, .....
Answer: B
The ratio of ducks and frogs in a pond is 37 : 39 respectively. The average number of ducks and frogs in the pond is 150. What is the number of frogs in the pond ?  Choose the correct choice from the following answers:
A) 148	B) 154	C) 156	D) 144	E) None

Solution: Solution:   Ratio of Ducks and Frogs in Pond,   = 37 : 39.   Average of Ducks and Frogs in Pond,   = 150.   So, total number of Ducks and Frogs in the Pond,   = 2* 150= 
2* 150 = 300
300.   Therefore,   Number of Frogs,= (300 *39)/76 = 154.   Answer: Option 154
Answer: B
If each digit in the set of A = (6,7,8,9) is exactly used once, in how many ways can the digits be arranged such that the 6 and 7 are not adjacent?
Pick.
A) 12
B) 15
C) 18
D) 20
E) 22

Solution: The answer should be = total arrangements - arrangements when 2 and 5 are together.   = 4! - 3! * 2! = 24 -12= 
24 -12 = 12
12   take (6,7),8,9 here there are 3 entities whose number of arrangements are 3! and 2! is the arrangement between 3 and 4   12nswer is 12
Answer: A
The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 13%, then the cost price of the article is:	Options
A) 545  B) 334  C) 555  D) 664  E) 5598

Solution: 110% of S.P. = 616   S.P. = (616 * 100)/110 = Rs. 560   C.P = (110 * 560)/113 = Rs. 545   545nswer: Option 545
Answer: A
The largest 4 digit number exactly divisible by 88 is:	Choose the correct choice from the following options.
A) 9800 B) 9824 C) 9944 D) 10000 E) 11000

Solution: Largest 4-digit number = 9999   88) 9999 (113   88   ----   119   88   ----   319   264   ---   55   ---   Required number = (9999 - 55)= 
(9999 - 55) = 9_944
9944.   9944
Answer: C
A 80 cm long wire is to be cut into two pieces so that one piece will be 3/5th of the other, how many centimeters will the shorter piece be?
Choose the correct choice from the following choices
A) A)30 B) B)20 C) C)83 D) D)21 E) E)52

Solution: Explanation:   1: 3/5 = 5: 3   3/8 *80= 
3/8 *80 = 30
30   30nswer: Option 30
Answer: A
What is the are of an equilateral triangle of side 16 cm?	Choose the correct choice
A) 10  B) 99  C) 88  D) 77  E) 12

Solution: 36 * 5/18= 
36 * 5/18 = 10
10 mps   10nswer: 10
Answer: A
A batsman scored 150 runs which included 3 boundaries and 8 sixes. What % of his total score did he make by running between the wickets	Choose the correct answer:
A) 40% B) 50% C) 65% D) 70% E) 75%

Solution: Number of runs made by running = 150 - (3 x 4 + 8 x 6)   = 150 - (60)= 
150 - (60) = 90
90   Now, we need to calculate 60 is what percent of 120.=> 90/120 * 100= 
90/120 * 100 = 75
75 %   75%
Answer: E
A man sells 12 candies for rs12 and loses rs 2.40. if he sells 12 candies for rs 16. how much does he gain or loss?	Choose one:	A) gain rs4	B) loses rs6	C) gain rs6.40	D) loses rs 1.60	E) gains rs1.60

Solution: 12 candles = 12 rupees . Lose = 2.4   So actual cost = 12+2.4= 
12+2.4 = 14.4
14.4 rupees .   So if he sells for 16 rupees then he gains  16-14.4= 
 16-14.4 = 1.6
1.6 rupees   ANSWgains rs1.60R:gains rs1.60
Answer: E
A mixture of 150 liters of wine and water contains 10% water. How much more water should be added so that water becomes 25% of the new mixture?	Choose the correct choice from the following choices:
A) 10	B) 30	C) 20	D) 15	E) 16

Solution: Number of liters of water in150 liters of the mixture = 10% of 150 = 10/100 * 150= 
10/100 * 150 = 15
15 liters.   P liters of water added to the mixture to make water 25% of the new mixture.   Total amount of water becomes (15 + P) and total volume of mixture is (150 + P).   (15 + P)= 25/100 * (150 + P)   60+4P = 150+P   P = 30 liters.   Answer: 30
Answer: B
A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?  Pick one:
A) Â¹Â²Câ‚… * 10
B) Â¹Â²Câ‚‡ * 10
C) Â¹Â²Câ‚‡ * Â¹â°Câ‚…
D) 12 * Â¹â°Câ‚…
E) None of these

Solution: Explanation:   Here, five seniors out of 12 seniors can be selected in Â¹Â²Câ‚… ways. Also, five juniors out of ten juniors can be selected Â¹â°Câ‚… ways. Hence the total number of different ways of selection = Â¹Â²Â¹Â²Câ‚‡ * Â¹â°Câ‚…â‚… * Â¹â°Â¹Â²Câ‚‡ * Â¹â°Câ‚…â‚… = Â¹Â²Â¹Â²Câ‚‡ * Â¹â°Câ‚…â‚‡ * Â¹â°Â¹Â²Câ‚‡ * Â¹â°Câ‚…â‚…   = Â¹Â²Â¹Â²Câ‚‡ * Â¹â°Câ‚…â‚… = Â¹Â²Â¹Â²Câ‚‡ * Â¹â°Câ‚…â‚‡   ANSWER IS Â¹Â²Câ‚‡ * Â¹â°Câ‚…
Answer: C
A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1? Answers.
A) 4 months	B) 5 months	C) 6 months	D) 8 months	E) 9 months

Solution: Suppose B joined for x months. Then,   Then,(85000 x 12)/(42500 x x) = 3/1   x = 85000 x 12/42500 x 3 = 8.   So, B joined for 8 months.   Answer:8 months
Answer: D
A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 30,000 and at the same time n is a perfect square and a perfect cube? Select the correct option:
A) 4
B) 5
C) 6
D) 7
E) 8

Solution: If n is a perfect square and a perfect cube, then n = a^6 for some integer a.   The numbers are 1^6=1, 2^6=64, 3^6= 729, 4^6=4096, 5^6=15,625.   The answer is 5.
Answer: B
The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.180 and Rs.120 respectively. What is the sum and the time?	Choose the correct choice from the following options.
A) Sum = Rs.380 and Time = 4 years  B) Sum = Rs.400 and Time = 6 years  C) Sum = Rs.320 and Time = 4 years  D) Sum = Rs.360 and Time = 5 years  E) None of these

Solution: Explanation :   BD = Rs.180   TD = Rs.120   R = 10%   F = BD ×TD/(BD – TD)=180×120/(180–120)=180×120/60=Rs. 360   BSum = Rs.360 and Time = 5 years = Simple Interest on the face value of the bill for unexpired time =FTR/100   ⇒180 = (360×T×10)/100   ⇒180 = 36 × T   ⇒ T = 180/36= 
180/36 = 5
5 years Answer : Option Sum= Rs.360 and Time = 5 years
Answer: D
The HCF and LCM of two numbers m and n are respectively 6 and 210. If m + n = 80, then 1/m + 1/n is equal to Choose the correct choice from the following answers:
A) 1/35  B) 3/35  C) 5/37  D) 4/63  E) None

Solution: Answer   We have, m x n = 6 x 210 = 1260   âˆ´ 1/m + 1/n = (m + n)/mn = 80/1260 = 4/63   Correct Option: 4/63
Answer: D
If f(x) = 2x − √x and g(x) = x^2, what is f(g(3))?
Choices.
A) -4
B) 8
C) 17
D) 32
E) 15

Solution: g(x) = x²   g(3) = 3² = 9   So, f(g(3)) = f(9)   f(x) = 2x − √x   So, f(9) = 2(9) − √9   = 18 - 3= 
18 - 3 = 15
15= 15
Answer: E
A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 45km/hr. in return trip, he covers the same distance at an average speed of 20km/hr. the average speed of the car over the entire distance of 400 km is	Pick one.
A) 8.95km/hr
B) 26.7km/hr
C) 27.7km/hr
D) 37.9km/hr
E) 8.45km/hr

Solution: average speed = (2*45*20)/45+20 km/hr   =27.7 km/hr   Answer (27.7km/hr)
Answer: C
If 2A = 3B = 4C, find A : B : C Pick one
A) 2 : 4 : 5	B) 5 : 3 : 1	C) 3 : 2 : 1	D) 7 : 3 : 2	E) 6 : 4 : 3

Solution: Let 2A = 3B = 4C = x   So, A = x/2 B = x/3 C = x/4   The L.C.M of 2, 3 and 4 is 12   Therefore, A : B : C = x/2 × 12 : x/3 × 12 : x/4 = 12   = 6x : 4x : 3x   = 6 : 4 : 3   Answer is 6 : 4 : 3
Answer: E
A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?  Choose the correct choice from the following options: A) 2277 B) 28886 C) 5550 D) 2678 E) 2681

Solution: Total production of salt by the company in that year   = 5000 + 5100 + 5200 + .... + 6100 = 66600.   Average monthly production of salt for that year   = 66600/12= 
66600/12 = 5_550
5550   Answer: 5550
Answer: C
A square has a side 5 centimeters shorter than the side of a second square. The area of the larger square is four times the area of the smaller square. Find the side of each square	Choose one.
A) 5 B) 6 C) 7 D) 8 E) 9

Solution: Let x be the side of the smaller square and y be the side of the larger square. The statement "A square has a side 5 centimeters shorter than the side of a second square" may be formulated by   x = y - 5   The area of the smaller square is equal to x 2 = (y - 5) 2 and the area of the larger square is equal to y 2   The statement "the area of the larger square is four times the area of the smaller square" may be formulated by   y 2 = 4 (y - 5) 2   Write the above equation so that the right side is equal to 0   y 2 - 4 (y - 5) 2 = 0   The left side is made up of the difference of two squares and can be easily factored as follows   [ y - 2 (y - 5) ] [ y + 2 (y - 5) ] = 0   Solve for y to find   y = 10 and y = 10 / 3.   We now use the equation x = y - 5 to find x   y = 10 and x = 5   For the second solution y = 10 / 3, x is negative and cannot be accepted as the length of the side of a square must be positive.   5nswer 5
Answer: A
. A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choose the correct option
A) 16 2/3% B) 20% C) 18% D) 25% E) 35%

Solution: 900 ---- 180   100 ---- ? => 20%   ANSWER:20%
Answer: B
The simple interest on a sum of money will be Rs.1000 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Choose the correct option
A) 8981 B) 3799 C) 1200 D) 2693 E) 2000

Solution: P --- 10 ---- 1000   P --- 5 ----- 500   3P --- 5 ----- 1500   ------   => 2000   Answer: 2000
Answer: E
In a 80 meters race A beats B by 56 m or 7 seconds. A's time over the course is:  Choose the correct choice from the following answers: A) 3 seconds B) 12 seconds C) 10 seconds D) 18 seconds E) 28 seconds

Solution: B runs 56 m in 7 sec.   => B runs 80 m in 7/56*80= 
7/56*80 = 10
10 seconds   Since 3 seconds beats B by 7 seconds, 3 seconds runs 80 m in (10-7)= 
(10-7) = 3
3 seconds   Hence, 3 seconds's time over the course= 3 seconds   3 secondsNSWER:3 seconds
Answer: A
A man invests Rs.5000 for 3 years at 5% p.a. compound interest reckoned yearly. Income tax at the rate of 20% on the interest earned is deducted at the end of each year. Find the amount at the end of the third year
A).	B)
C) D) Choose the correct choice from the following.
A) Rs. 5624.32 B) Rs.5423 C) Rs.5634 D) Rs.5976 E) Rs.5376

Solution: 5% is the rate of interest. 20% of the interest amount is paid as tax.   i.e 80% of the interest amount stays back.   if we compute the rate of interest as 80% of 5% = 4% p.a., we will get the same value.   The interest accrued for 3 years in compound interest = 3 x simple interest on principal + 3 x interest on simple interest + 1 x interest on interest on interest.   = 3 x (200) + 3 x (8) + 1 x 0.32 =600 + 24 + 0.32= 
600 + 24 + 0.32 = 624.32
624.32   The amount at the end of 3 years= 5000 + 624.32= 
5000 + 624.32 = 5_624.32
5624.32 Rs. 5624.32nswer: Rs. 5624.32
Answer: A
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?  Choose the correct choice from the following choices
A) 5	B) 8	C) 7	D) 4	E) 1

Solution: US = 25   DS = 35   M = (35 - 25)/2= 
(35 - 25)/2 = 5
5   5nswer:5
Answer: A
A shopkeeper sells 500 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
Choose the correct choice from the following choices
A) 12	B) 27	C) 29	D) 50	E) 41

Solution: SP per metre = 18000/500 = Rs. 36 Loss per metre = Rs. 5 CP per metre = 36+ 5 = Rs. 41.Answer: 41
Answer: E
An empty pool being filled with water at a constant rate takes 6hours to fill to 3/5 of its capacity.how much more time will it take to finish filling the pool?	Answers.
A) 5hr 30min B) 5hr 20min C) 4hr 48min D) 3 hr 12min E) 2hr 40 min

Solution: As pool is filled to 3/5 of its capacity then 2/5 of its capacity is left to fill.   To fill 3/5 of the pool took 8 hours --> to fill 2/5 of the pool will take 8/(3/5)*2/5=16/3 hours = 5 hours 20 minutes (because if t is the time needed to fill the pool then t*3/5=8 --> t=8*5/3 hours --> to fill 2/5 of the pool 8*5/3*2/5=16/3 hours will be needed).   Or plug values: take the capacity of the pool to be 5 liters --> 3/5 of the pool or 3 liters is filled in 8 hours, which gives the rate of 3/8 liters per hour --> remaining 2 liters will require: time = job/rate = 2/(3/8) = 16/3 hours =3 hours 12 minutes.   Answer: 3 hr 12min.
Answer: D
How many meters are there in 660 centimeters?  Choose one:  A) 6.6 meters  B) 660 meters  C) 600 meters  D) 6.5 meters  E) 6 meter

Solution: Solution:   1 meter = 100 centimeters   Just divide 660 by 100   660 Ã· 100 = 6.6, so there are 6.6 meters in 660 centimeters   Option 6.6 meters
Answer: A
Consider a Number 3.1n2
n represent the hundredths digit in the number shown above. If the number is rounded to the nearest hundredth, which of the following could be the tenths digit in the rounded number? Choose the correct choice from the following choices: A) 1 B) 2 C) 3 D) 4 E) 3

Solution: In this ques we are given the thousandth digit as 2, so the hundreth digit can take any value from 0-9. For the hundreth digit i considered 2 set of values (i) 0, 1, 2, 3 and (ii) 4, 5, 6, 7, 8, 9. Given that the thousandth digit is 2, the hundreth digit has to go up by 0, and correspondingly, the tenth digit should remain same.i.e 0-9.say 1   1
Answer: A
If x and y are integers and x=50y + 39, which of the following must be odd?	Answers:
A) xy	B) x + y	C) 3X-1	D) X+2Y	E) 3x+1

Solution: x = 50y + 69, since y is integer, 50y will always be even hence 50y + 69 will be odd hence x = odd   you don't know whether Y is even or odd, so you need to try.   A: odd * even = even ; odd*odd= odd ->not true   B: odd + odd = even ; odd+even = odd -> not true   D: odd + 2*odd = odd ; odd + 2*even = odd -> TRUE, stop here.   C: EVEN ...E - EVEN   Answer X+2Y
Answer: D
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years of age which is 48. What is the total number of students in the school?	Choose one.
A) 72  B) 80  C) 120  D) 150  E) 100

Solution: Answer: Option E   Let the number of students be x. Then,   Number of students above 8 years of age = (100 - 20)= 
(100 - 20) = 80
80% of x.   80% OF X= 48+2/3 OF 48   80/100 X=80   X=100
Answer: E
In the Bombay Stock Exchange there are 45% female employees and thus the number of male employees is exceeded by 72. Hence the total no. of employees in the BSE is:  Pick one:	A) 540	B) 720	C) 800	D) 550	E) None

Solution: Solution: Female employees = 45%   Male employees = 55%   Difference = 55 - 45= 
55 - 45 = 10
10%   → 10%= 72   → 1% = 72 /10   → 100 = 7.2 * 100= 
7.2 * 100 = 720
720.   Answer: Option 720
Answer: B
Find the simple interest on the Rs. 2000 at 25/4% per annum for the period from 4th Feb 2005 to 18th April 2005 Answers:
A) Rs 25
B) Rs 30
C) Rs 35
D) Rs 40
E) None of these

Solution: Explanation:   One thing which is tricky in this question is to calculate the number of days.   Always remember that the day on which money is deposited is not counted while the day on which money is withdrawn is counted.   So lets calculate the number of days now,   Time = (24+31+18)= 
(24+31+18) = 73
73/365 years= 1/5 years   P = 2000   R = 25/4%   S.I. = =2000×25 /4×5×100=25   Option Rs 25
Answer: A
A man is 18 years older than his son. In eight years, his age will be twice the age of his son. The present age of this son is
Choose the correct option.
A) 5 years  B) 10 years  C) 15 years  D) 20 years  E) 25 years

Solution: Explanation:   Let's Son age is x, then Father age is x+18.   => 2(x+8) = (x+18+8)   => 2x+16 = x+26   => x = 10 years   Answer: Option 10 years
Answer: B
The angles of a triangle are in the ratio 2: 6 : 4. Find the measurement of the 3 angles of triangle.	Select.
A) 90°  B) 60°  C) 20°  D) 30°  E) 80°

Solution: If the ratio of the three angles is 2:6:4, then the measures of these angles can be written as 2x, 6x and 4x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence   2x + 6x + 4x = 180   Solve for x   12x = 180   x =15   The measures of the three angles are   2x =2 x15=30°   6x = 6 × 15= 90°   4x = 4 × 15 = 60°   60°
Answer: B
If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,880,715 minutes earlier? (Assume standard time in one location.)	Choose the correct answer
A) 6:23 B) 6:24 C) 6:27 D) 6:30 E) 6:32

Solution: 6:27minus 2,880,715in any way must end with 2, the only answer choice which ends with 2 is E.   Answer: 6:32.
Answer: E
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions? Choose the correct option.
A) 708 m	B) 704 m	C) 774 m	D) 714 m	E) 744 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.   = 500 * 2 * 22/7 * 22.4= 
500 * 2 * 22/7 * 22.4 = 70_400
70400 cm= 704 m   Answer:704 m
Answer: B
Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 6 hours and machine Y produces k bottles in 3 hours. How many hours does it take machines X and Y , working simultaneously , to produce 12k bottles?	Choose the correct choice from the following answers.
A) 4
B) 8
C) 12
D) 18
E) 24

Solution: x rate = k/6   y rate = k/3   k/6 + k/3 = 12k / T   solving T = 24   Answer 24
Answer: E
In Town X, 64 percent of the population are employed, and 44 percent of the population are employed males. What percent of the employed people in Town X are females?  Choose the correct choice from the following choices:
A) 16%
B) 55%
C) 29%
D) 40%
E) 52%

Solution: answer b   male-employed - 64%   female-employed-20%   Total employed 64%   means total unemployed = 36%   therefore d and e are not correct because female unemployed has to be less than 36%   female-unemployed = 32% male unemployed = 4%   48% + 4% = 52%   16% + 32%  48  + 4= 
 48  + 4 = 52
52%   16% + 32% = 48%   plug in a and b in place of 32% and the sum is not 100%   20/64  16  + 32= 
 16  + 32 = 48
48%   plug in a and b in place of 32% and the sum is not 100%   20/64=29 29%
Answer: C
If R is a negative integer and K is a positive integer, which of the following could be the standard deviation of a set {-7, -5, -3, R, 0, 1, 3, K, 7}?
I. -1.5
II. -2
III. 0 Pick:
A) I only B) II only C) III only D) I and III only E) None

Solution: The answer should be (E) as S.D cannot be negative. It is only 0 if all numbers in the set are equal, which is not the case either.None
Answer: E
An investment of $100 was made in a certain account and earned interest that was compounded annually. The annual interest rate was fixed for the duration of the investment, and after 12 years the $100 increased to $400 by earning interest. In how many years after the initial investment was made the $1000 have increased to $8000 by earning interest at that rate?	Choose the most appropriate option:	A) 16	B) 20	C) 18	D) 24	E) 30

Solution: In 12 years the investment quadrupled (from $100 to $400).   Thus, at the same rate compounded annually, it would need additional   12/2= 
  12/2 = 6
6 years to double (from $400 to $800).   Therefore, 12+6=18 years are needed $100 to increase to $800.   Answer: 18.
Answer: C
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?  Choose the correct choice from the following.
A) 26  B) 89  C) 76  D) 27  E) 23

Solution: Speed = 240/24= 
240/24 = 10
10 m/sec.   Required time= (240 + 650)/10= 
(240 + 650)/10 = 89
89 sec.   Answer:89
Answer: B
Two Nascar stock cars take off from the starting line at the exact same time, heading in opposite directions. The Budweiser Car travels at 145 miles per hour, while the Stella Artois car travels at 150 miles per hour. At this rate, and ignoring other variable, how long will the cars have to drive in order to be 500 miles, in total, from each other?  Choose the correct answer
A) 1.5 hours	B) 1.27 hours	C) 1.73 hours	D) 2 hours	E) 1.69 hours

Solution: The cars travel (145+150=295) miles in one hour.   500 miles/295 miles/hour= 1.69 hours   Answer is 1.69 hours
Answer: E
How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHM', if repetition of letters is not allowed?
Choose the correct answer
A) 690
B) 504
C) 740
D) 760
E) 780

Solution: The word 'LOGARITHM' has 9 different letters.   Hence, the number of 3-letter words(with or without meaning) formed by using these letters   = 9P3   =   9   ×   8   ×   7   =   504   Option 504
Answer: B
10, 14, 26, 42, 70, ?	Select:
A) 86
B) 98
C) 114
D) 126
E) 136

Solution: Each term of the series, except the first two terms, is 2 more than the sum of the preceding two terms.   Answer : 114.
Answer: C