MU-NLPC/Calc-aqua_rat huggingface dataset:
The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? Options:
A) 278  B) 272  C) 892  D) 750  E) 298

Solution: Speed = [90 * 5/18] m/sec = 25 m/sec; Time   = 1 min.   = 60 sec.   Let the length of the train and that of the platform be x meters.   Then, 2x/60 = 25 è x = 25 * 60 / 2= 
25 * 60 / 2 = 750
750   Answer: 750
Answer: D
In a certain lottery drawing, two balls are selected at random from a container with 50 balls, numbered from 1 to 50, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?	Choose the most appropriate option:
A) $9.85 x 10^6
B) $2.45 x 10^6
C) $1.00 x 10^7
D) $1.05 x 10^7
E) $9.90 x 10^7

Solution: The max product of any two balls can be 49 * 50= 
49 * 50 = 2_450
2450= 2.45 * 10^3   If you multiply it by $1000 the max amount will be 2.45 * 10^6.   $2.45 x 10^6
Answer: B
A man walking at a constant rate of 6 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 12 miles per hour. The woman stops to wait for the man 10 minutes after passing him, while the man continues to walk at his constant rate. How many minutes must the woman wait until the man catches up?	Choices:
A) 5 B) 15 C) 10 D) 20 E) 25

Solution: When the woman passes the man, they are aligned (m and w). They are moving in the same direction. After 5 minutes, the woman (W) will be ahead the man (M):   m------M---------------W   w   In the 5 minutes, after passing the man, the woman walks the distance mW = wW, which is  10*12/60= 
 10*12/60 = 2
2 miles and the man walks the distance mM, which is  10*6/60= 
 10*6/60 = 1
1 mile.   The difference of 2 - 1= 
2 - 1 = 1
1 miles (MW) will be covered by the man in (1)/6= 1/6 of an hour, which is 10 minutes.   Answer 10.
Answer: C
In how many different ways can the letters of the word ‘RED’ be arranged ?
Choose the most appropriate option:
A) 0  B) 6  C) 24  D) 120  E) 720

Solution: 6   6   Required number of arrangements = 3! = 6
Answer: B
An empty wooden vessel weighs 16% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
Choose the most appropriate option
A) 3/5  B) 5/9  C) 1/24  D) 4/9  E) 7/15

Solution: An empty wooden vessel weighs 16% of its total weight when filled with paint:   Vessel = 0.16(Vessel + Paint);   16V = V + P (so the weight of completely filled vessel is 16V)   P = 15V (so the weight of the paint when the vessels is completely filled is 15V).   The weight of a partially filled vessel is one half that of a completely filled vessel:   V + P' = 1/2*16V;   P' = 7V (so the weight of the paint when the vessels is partially filled is 7V).   What fraction of the vessel is filled?   So, we need to find the ratio of the weight of the paint when the vessel iscompletely filledto the weight of the paint when the vessel ispartially filled:   P'/P = 7V/15V = 7/15.   Answer: 7/15.
Answer: E
What is the smallest number which is a perfect square and is divisible by 16, 20 and 24?	Choose the correct choice from the following:	A) 3600	B) 2778	C) 2677	D) 97Y67	E) 272

Solution: Explanation:   3600. The number is perfect square of 60.   It is divisible by 36 24 and 20. Only two numbers 3600 and 7200 fit these conditions.   It is clear that 3600 is the smaller number.   3600NSWER: 3600
Answer: A
Find the number of Zeros in: (1)^1 x (2)^2 x (3)^3 x (4)^4 x ......(99)^99 x (100)^100
Pick.
A) 1200 B) 1300 C) 1400 D) 1500 E) None of these

Solution: Explanation :   Consider number of 5's only.   (5+10+15+20+50+30+35+40+45+100+55+60+65+70+75+150+80+85+90+95+200)   =1300   Answer : 1300
Answer: B
What is the area D of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?  Answers:
A) 60.
B) 85.
C) 125.
D) 225.
E) It cannot be determined from the information given

Solution: Length of one side= 15 (20-5)   Since, its a square, the area will be 225.= 15^2= 225   225. is the answer
Answer: D
An ice cream cone is three inches tall and its top is a circle with diameter two
inches. The cone is lled with ice cream, such that the interior of the cone is entirely full.
The cone is topped with a hemisphere of ice cream with diameter two inches. What is the
total volume, in cubic inches, of the ice cream in and atop the cone? Choose the correct option:
A) π
B) 4/3 π
C) 3/2 π
D) 5/3 π
E) 2π

Solution: The volume consists of that of the cone, plus that of the hemisphere on top. The   volume of a cone of radius r and height h is 1/3πr2h, so with h = 3 and r = 2   2 = 1 this volume   is 1   312 3 = . The volume of a sphere of radius r is 4   3r3, and we have half this, or 2   3: The   total volume is 5/3 π   correct answer 5/3 π
Answer: D
On a certain day, Tim invested $600 at 10 percent annual interest, compounded annually, and Lana invested 1,000 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?  Select
A) $5.5	B) $15.5	C) $23.5	D) $100	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   600(1.10)^2 = 600(1.21) = 726   and Lana would have   1,000(1.05)^2 = 1,000(1.1025) = 1102.5   Thus, Tim earned 126 dollars, while Lana earned 102.5 dollars   The difference is $23.5 and the answer is $23.5.
Answer: C
Pipe A can fill a tank in 20 hours, pipe B in 20 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?	Choose the correct choice from the following answers.
A) 2  B) 2.5  C) 7  D) 7.5  E) None

Solution: Sol.   Part filled by (A + B + C) in 1 hour = (1/20 + 1/20 + 1/30) = 2/15.   âˆ´ All the three pipes together will fill the tank in 7.5 hours.   Answer 7.5
Answer: D
Given f(x) = 3x – 5, for what value of x does 2*[f(x)] – 16 = f(x – 6) ?	Choose the correct choice.
A) 1	B) 4	C) 6	D) 7	E) 13

Solution: 2(3x-5)-16 = 3(x-6) - 5   3x = 3   x = 1   The answer is 1.
Answer: A
If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum? Options.
A) s.575  B) s.595  C) s.590  D) s.580  E) s.585

Solution: 80 = (450*4*R)/100   R = 5%   I = (450*6*5)/100= 
(450*6*5)/100 = 135
135   450 + 135= 
450 + 135 = 585
585   ANSWs.585R:s.585
Answer: E
How many positive integers less than 100 have a remainder of 11 when divided by 13? Pick one:	A) 11	B) 7	C) 8	D) 9	E) 10

Solution: We have to include 11 also.As 13*0 + 11= 
13*0 + 11 = 11
11   If somebody says to divide 11 by 13 ,we will be telling we have 0 quotient and remainder as 11.   11nswer is 11
Answer: A
For which of the following functions does f(−q)=−f(q) for all real number values of x?	Choose the correct choice from the following choices.
A) q^8−q^4	B) q^2−q^6	C) q^5/q^7	D) q^9/(q^5+1)	E) q^5/(q^2+1)

Solution: q^5/(q^2+1)   q^5/(q^2+1)
Answer: E
If the perimeter of square region E and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of E  Choose the correct choice from the following answers: A) 25:16 B) 24:25 C) 5:6 D) 4:5 E) 4:9

Solution: We know Perimeter of a square (Pe) = 4*side   Perimeter of a rectangle (Pr) = 2(length+breath)   Let us assume 40 to be the perimeter of the square (since we know each side of a square is equal and the perimeter is divisible by 4, also take in to account the length and breadth of the rectangle is in the ration 2k:3k = 5k; we can assume such a number)   Therefore,   Pe = Pr = 40   Area of the square = 100 sq. units   We know 2(length+breadth) = 40   i.e. length + breadth = 20 (or 5k = 20 given that l:b (or b:l) = 2:3)   Therefore length = 8, breath = 12   Area of the rectangle = 8*12= 
8*12 = 96
96 sq. units   Question asked= Area of the rectangle : Area of the square = 96:100 ==> 24:25=24:25
Answer: B
In a certain accounting class of 90 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 60%, and the students on the make-up date had an average score of 70%, what was the average score for the entire class?	Choices
A) 63%  B) 64%  C) 65%  D) 66%  E) 67%

Solution: 70% of the class scored 60% and 30% of the class scored 70%.   The difference between 60% and 70% is 10%.   The average will be 60% + 0.3(10%) = 63%.   The answer is 63%.
Answer: A
If the product of the integers j, k, l and m is 770, and if 1 < j< k< l< m, what is the value of j+ m?
Choose the correct answer.
A) 10 B) 13 C) 16 D) 18 E) 21

Solution: 770 = 2 * 5 * 7 * 11   So j= 2, k= 5, l= 7, m= 11   j+ m= 2 + 11= 
2 + 11 = 13
13   Answer - 13
Answer: B
For prime number y, y>3. Which of the following could be the remainder when y^3 is divided by 12?	Options:
A) 2
B) 3
C) 4
D) 5
E) 6

Solution: Let’s test the first prime number greater than 3, which is 5.   5^3 = 125   125/12 = 10 remainder 5   Answer: 5
Answer: D
It costs $2 for the first 1/4 hour to use the bathroom. After the first ¼ hour it costs $8 per hour. If a certain customer uses the bathroom for 1 hour, how much will it cost him?
Options
A) $8	B) $3	C) $26	D) $7	E) $2.99

Solution: 1 hour = 60 minutes   First 15 min ------> $2   Time left is 45 min...   Now, 60 min costs $ 8   1 min costs $ 8/60   45 min costs $  8/60*45= 
 8/60*45 = 6
> $ 6   So, Total cost will be $6 + $2 => $ 8   The answer will be ($8) $ 86 +  2= 
6 +  2 = 8
> $ 8   The answer will be ($8) $ 8
Answer: A
A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is : Choose the correct choice from the following:
A) 9:5 B) 2:3 C) 4:7 D) 5:6 E) None of these

Solution: Explanation:   Dog : Hare = (3*3) leaps of hare : 5 leaps of hare = 9 : 5.   9:5nswer: 9:5
Answer: A
Each day, Jane swims a certain number of lengths. On day 1, she swims 8 lengths. Each day, she swims 8 more lengths than the day before. What is the average number of lengths she swims each day in the first week? Choose the correct choice from the following options:
A) 8
B) 16
C) 32
D) 34
E) 40

Solution: =8 + 16 + 24 + ... + 56   =8(1+2 + 3 + ...+ 7)/7   =8(7(7+1))/(7*2)   =4(8)   =32   Option 32
Answer: C
How many 4-digit W numbers (ABCD) can be formed such that |A – D| = 2?  Choose the correct choice
A) 2,000  B) 1,900  C) 1,800  D) 1,600  E) 1,500

Solution: 1) A=0 and D-8   2) A and D as 1 and 9..so 3*100= 
3*100 = 300
300 extra ways ans  1800-300= 
 1800-300 = 1_500
1500.   we are looking for |A-D|=2 so any of the two can be bigger..   these two can have values (1,3) ; (2,4) so on till (7,9) so total 7*2 = 14..   another arrangement could be A as 2 and D as 0... D as 2 and A as 0 is not possible as number will become 3 digits..   so the ways A and D can be placed = 14+1= 
14+1 = 15
15 ways..   B and C can be placed in 10*10 ways..   Total W= 15*10*10=1500.1,500
Answer: E
A single discount equivalent to the discount series of 14%, 10% and 5% is?
Choose the correct choice from the following answers.
A) 26.47	B) 36.97	C) 31.67	D) 31.47	E) 26.17

Solution: 100*(86/100)*(90/100)*(95/100)= 
100*(86/100)*(90/100)*(95/100) = 7_353/100 = around 73.53
73.53   100 - 73.53= 
100 - 73.53 = 26.47
26.47   26.47nswer: 26.47
Answer: A
What will be the remainder if 2^300 is divided by 4?
Options.
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: D   4   Now if you go on calculating 2^300, you will lose so much time and it might not even be feasible to carry out so long of calculations. Thus we will make use of a trick here. We will calculate the remainder of each power of 2 till we come across a pattern.   2^1 divided by 4 leaves the remainder 2.   2^2 divided by 4 leaves the remainder 0.   2^3 divided by 4 leaves the remainder 0.   2^4 divided by 4 leaves the remainder 0.   You can see that all the following powers of two will be divisible by 4. Therefore the remainder when 2^300 is divided by 4 will be 0 only.
Answer: D
If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest?
Select.
A) 26 2/3 %	B) 30 %	C) 27 1/2%	D) 40 %	E) 50 %

Solution: Explanation:   8 = (1*20*R)/100   R = 40%   ANSWER IS 40 %
Answer: D
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 49 hours respectively. The ratio of their speeds is?	Pick one
A) 4:7  B) 7:3  C) 4:9  D) 4:4  E) 4:2

Solution: Let us name the trains A and B.   Then, (A's speed) : (7:3's speed)   = âˆšb : âˆša = âˆš49 : âˆš9 = 7:3.Answer: 7:3
Answer: B
The radius of a wheel is 24.2 cm. What is the distance covered by the wheel in making 500 resolutions?	Pick
A) 708 m  B) 704 m  C) 774 m  D) 760.57 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 * 24.2 = 76057 cm   = 760.57 m   Answer:760.57 m
Answer: D
In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 40 per square m? Choices:
A) s.43000  B) s.50000  C) s.57000  D) s.38000  E) s.62000

Solution: Length (l) = 20 m, Breadth (b) = 15 m and Height (h) = 5 m   Total area of the hall to be covered with mat = 2(lb + bh + hl)   = 2(20 * 15 + 15 * 5 + 5 * 20)   =2(300 + 75 + 100)   = 2 * 475= 
2 * 475 = 950
950 sq. m   Total expenditure= 40 * 950   = Rs.38000   s.38000
Answer: D
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length Pick.
A) 20 seconds  B) 30 seconds  C) 40 seconds  D) 50 seconds  E) None of these

Solution: Explanation:   Speed = 45 Km/hr = 45*(5/18) m/sec   = 25/2 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= Distance/speed   =500∗2/25=40seconds   Option 40 seconds
Answer: C
Average weight of 10 people increased by 1.5 kg when one person of 45 kg is replaced by a new
man. Then weight of the new man is Choose the correct answer
A) 50
B) 55
C) 60
D) 65
E) 70

Solution: Explanation:   Total weight increased is 1.5 * 10= 
1.5 * 10 = 15
15.   So weight of new person is 45+15= 
45+15 = 60
60   Answer: Option 60
Answer: C
A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 50 percent of the drive from the center, what percent of the round-trip has the technician completed? Choose the correct choice from the following answers:
A) 5%
B) 10%
C) 75%
D) 40%
E) 55%

Solution: The complete round trip consists of driving to the service center and then back home again.   So, once the technician drives to the service center he/she has already competed 50% of the entire trip.   Since the technician completes a portion of the trip back home,the correct answer must be greater than 50%   so  0.5+0.5*0.5= 
 0.5+0.5*0.5 = 0.75
0.75   Answer:   75%
Answer: C
10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.170000, find the cost of a camel? Choose the correct answer:  A) 3278  B) 2669  C) 2770  D) Rs.6800  E) 2791

Solution: Cost of the camel = P   10 camels = 24 horses   16 horses = 4 oxen   6 oxen = 4 elephants   10 elephants = Rs.170000   P = Rs.[(24 * 4 * 4 * 170000)/(10 * 16 * 6 * 10)]   P = Rs.(65280000/9600) => P = Rs.6800   Answer: Rs.6800
Answer: D
In an office in Singapore there are 60% female employees. 50 % of all the male employees are computer literate. If there are total 62% employees computer literate out of total 1500 employees, then the no. of female employees who are computer literate ?  Choose one
A) 630
B) 674
C) 672
D) 960
E) None

Solution: Solution: Total employees,   = 1500   Female employees, 60% of 1500.   = (60 *1500) /100= 
(60 *1500) /100 = 900
900.   Then male employees,= 600   50 % of male are computer literate,   = 300 male computer literate.   62 % of total employees are computer literate,   = (62 *1500) /100= 
(62 *1500) /100 = 930
930 computer literate.   Thus, Female computer literate= 930 - 300= 
930 - 300 = 630
630   630nswer: Option 630
Answer: A
There are 192 items that are members of set U. Of these items, 49 are members of set B, 59 are not members of either of set A or set B, and 23 are members of both sets A and B. How many of the members of set U are members of set A ?	Choose the most appropriate option.
A) 72
B) 85
C) 107
D) 98
E) 108

Solution: You had the answer almost right. The x = 84 refers to ONLY set A.   However what's being asked is how many members are part of set A. This will include:   1. Only Set A   2. Set A and Set B   So the answer is Set A = 84+ Set AB = 84+23 = 17   107
Answer: C
5n - 3 > 12 and 7n - 5 < 44; n must be between which numbers?
Choose the correct choice from the following.
A) 1 and 8  B) 2 and 6  C) 0 and 9  D) 3 and 7  E) 2 and 9

Solution: 5n-3 > 12   5n > 15   n > 3   7n-5 < 44   7n < 49   n < 7   So n must be between 3 and 7   3 < n < 7   correct answer 3 and 7
Answer: D
The positive difference between Sam and Lucy’s ages is a, and the sum of their ages is z. If Lucy is older than Sam, then which of the following represents Lucy’s age?	Options:
A) (z - a)/2  B) a - z/2  C) 2a + z  D) (z + a)/2  E) (a - z)/2

Solution: let Lucy's age be L and sam's age be S   as given,   L-S=a -- 1   L+S=z --2   adding both the equations 2L=a+z   L= (a+z)/2 answer is (z + a)/2
Answer: D
A reduction in the price of petrol by 10% enables a motorist to buy 5 gallons more for $190. Find the original price of petrol?  Choose the correct choice from the following choices
A) $11  B) $5  C) $45  D) $400  E) $4.2

Solution: Price decreased by 10%, so 9/10 times, which means that original gallons bought increased 10/9 times. Since this increase equals to 5 gallons then 45 gallons were bought originally (45*10/9=50 --> increase 5 gallons). Hence original price was 190/45=$4.2   Answer: $4.2.
Answer: E
The sum of a 2digit no. & the no. obtained byreversing the order ofthe digit is 165. If the digits are differ by 3, find the original no.? Choices: A) 76 B) 86 C) 88 D) 90 E) 96

Solution: Let unit digit = x   Ten’s digit = x + 3   Original number = 10(x + 3) +x   = 10x + 30 + x   Original number = 11x +30   Reversing the digits :   Unit digit = x +3   Ten’s digit = x   New number = 10x + x + 3   New number = 11x + 3   As the sum of original number and the new number = 165   11x + 30 + 11x + 3 = 165   22x + 33 = 165   22x = 132   X = 6   Original number = 11 x + 30 = 11(6) +30   = 66 + 30= 
66 + 30 = 96
96   96
Answer: E
A 3-letters code consists of three different letters. If the code contains at least 2 vowels, how many such codes are possible?  Choose the correct choice from the following.
A) 480	B) 510	C) 520	D) 430	E) 540

Solution: 5 Vowels   21 Consonants   Remember that the letters have to different.   480t least 2 = 2-Vowels + 3-Vowels   2-Vowels:   5*4*21= 
  5*4*21 = 420
420   3-Vowels:   5*4*3= 
  5*4*3 = 60
60   Total= 480   480NS:480
Answer: A
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?	Choose the correct choice from the following options:
A) 28000	B) 29000	C) 37000	D) 38000	E) 40000

Solution: Option B   Explanation:   CP + CP/8 = 45000   CP = 40000   SP = 40000*(95/100)= 
40000*(95/100) = 38_000
38000   Option 38000
Answer: D
A sum of 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of 362.50 more is lent but at the rate twice the former. At the end of the year, 33.50 is earned as interest from both the loans. What was the original rate of interest?	Choose the correct answer.
A) 3.6%	B) 4.5%	C) 5%	D) 3.46%	E) None of these

Solution: Let the original rate be R%. Then, new rate = (2R)%   ∴ (725×R×1/100)+(362.50×2R×1/100×3)=33.50   ⇒ (2175 + 725)R = 33.50 × 100 × 3 = 10050   ⇒ R = 10050⁄2900 = 3.46%   Answer 3.46%
Answer: D
2 no's are respectively 40% & 60% more than 3rdnumber. Find the ration of two numbers ?  Choose the correct choice from the following answers:
A) 3:4 B) 4:5 C) 7:8 D) 9:7 E) 11:9

Solution: Step 1: Let the third number is A   Then first number is 140% of A = 140 x A / 100 = 7A / 5 and second number is 160% of B = 160 x B / 100 = 8B /5.   Step 2: now ratio of first and second number is 7A / 5 : 8B / 5 = 35A : 40B = 7:8.   7:8
Answer: C
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?	Options
A) 29 Kmph  B) 27 Kmph  C) 68 Kmph  D) 22 Kmph  E) 12 Kmph

Solution: Length of the two trains = 600m + 400m   Speed of the first train = X   Speed of the second train= 48 Kmph   1000/X - 48 = 180   1000/x - 48 * 5/18 = 180   50 = 9X - 120   X = 68 Kmph   Answer: 68 Kmph
Answer: C
A three-character password consists of one letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
Choose the correct choice from the following options
A) 4,680
B) 18,720
C) 26,000
D) 37,440
E) 52,000

Solution: 4 character password: DLDD   First digit can be chosen in 10 ways.   The letter can be chosen in 26 ways.   Next digit can be chosen in 9 ways.   This gives us 10*26*9ways   Now, the letter can also be DDLD so there will be another 10*9*26 ways   Total = 10*26*9*2= 
10*26*9*2 = 4_680
4680 ways 4,680
Answer: A
The diameter of a ball is 20 inches. If the surface area of the diameter is the same as the surface area of a cube, what does 1 side of the cube measure? Round to the nearest whole number.  Select the correct option.
A) 10
B) 5
C) 8
D) 4
E) 3

Solution: The surface area of a sphere is determined by squaring the radius, multiply by Pi and multiply by 4. The radius is half of the diameter of a circle. So the radius of the ball is 10 inches. Multiply 10 by Pi, then multiply the answer by 4 will calculate to 125.663 inches as the surface area of the ball. Since a cube has 6 evenly measured sides we can divide the surface are by 6. This comes to 20.943 inches as the surface area for each square side of the cube. To find out the measurement for each side of the cube you will need to find out the square root of 20.943 inches. This comes to 4.576 inches. Rounding to the nearest whole number, each side of the cube measures 5 inches. The correct answer is (5).
Answer: B
The sum of the ages of mother and her daughter is 50years. Also 5 years ago, the mother's age was 7 times the age of the daughter. What is the age of the mother? Pick one.
A) 50years B) 60years C) 30years D) 25years E) 40years

Solution: Let the age of the daughter be x years   The age of the mother is 50-x years   5 years ago 7(x-5) = 50-x-5   x = 10   Mother's age = 50-10= 
50-10 = 40
40years   Answer is 40years
Answer: E
A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked at 4 miles per hour for 5 hours. How many miles in total did she walk?  Choose the correct choice from the following answers.
A) 24  B) 44  C) 58  D) 60  E) 62

Solution: First day - 18 miles with 3 miles per hours then total - 6 hours for that day   Second day - 4 miles per hour and 5 hours - 20 miles   Third day - 4 miles per hour and 5 hours - 20 miles   Total 18+20+20= 
18+20+20 = 58
58   Answer: option 58
Answer: C