MU-NLPC/Calc-aqua_rat huggingface dataset:
What is the smallest number which when increased by 7 is divisible by 25, 49, 15, and 21?	Pick:	A) 3,551	B) 3,668	C) 3,733	D) 3,822	E) 3,957

Solution: First factor each of 25, 49, 15, and 21 into primes:   25=5*5; 49=7*7; 15=3*5; 21=3*7   the smallest number divisible by each of the numbers is 3*5*5*7*7 = 3,675   3,675-7 = 3,668 thus 3,668 + 7 is the smallest number divisible by 25, 49, 15, and 21   3,668
Answer: B
The reciprocal of the hcf and lcm of two are 1/16 and 1/312 .if one of the number is 24 then other no. is  Choose the most appropriate option:	A) 126	B) 136	C) 146	D) 208	E) 266

Solution: reciprocal of the hcf and lcm of two are 1/16 and 1/312   so, HCF = 16 , LCM = 312   LCM * HCF = product of two numbers = a*b => b = LCM * HCF / a   so, other = 16*312 / 24= 
16*312 / 24 = 208
208   ANSWER:208
Answer: D
A sum of money deposited at C.I. amounts to Rs.3650 in 2 years and to Rs.4015 in 3 years. Find the rate percent? Choose the correct option:
A) 10% B) 15% C) 20% D) 25% E) 30%

Solution: Explanation:   3650 -------- 365   100 -------- ? (10%)   10%nswer: Option 10%
Answer: A
Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is? Choose the correct choice from the following answers
A) 80
B) 85
C) 96
D) 125
E) 200

Solution: I II III   120 125 100   125----------120   100-----------? => 96%   ANSWER 96
Answer: C
A salesman sold twice as much pears in the afternoon than in the morning. If he sold $390 kilograms of pears that day, how many kilograms did he sell in the afternoon?  Choose the correct choice from the following answers:  A) 120  B) 180  C) 260  D) 280  E) 320

Solution: 3x=390   x=130   Therefore, the salesman sold 130kg in the morning and 2⋅130=260 kg in the afternoon. So answer is 260.
Answer: C
1600 men have provisions for 28 days in the temple. If after 4 days, 400 men leave the temple, how long will the food last now?	Pick.
A) 22  B) 77  C) 32  D) 27  E) 29

Solution: 1600 ---- 28 days   1600 ---- 24   1200 ---- ?   1600*24 = 1200*x   x = 32 days   Answer: 32
Answer: C
The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation? Choose the correct choice from the following choices:
A) 9  B) 8  C) 7  D) 6  E) 2

Solution: 1 to 9 = 9 * 9= 
9 * 9 = 81
81   1 to 5= 5 * 10= 
5 * 10 = 50
50   5 to 9= 5 * 8= 
5 * 8 = 40
40   5th= 50 + 40= 
50 + 40 = 90
90 – 81= 9   9nswer: 9
Answer: A
When positive integer x is divided by 9, the quotient is y and the remainder is 4. When 2x is divided by 7, the quotient is 2y and the remainder is 1. What is the value of 5y – x? Options:	A) -3	B) 3	C) -4	D) 4	E) -5

Solution: (1) x = 9y+4   (2) 2x = 14y+1   (2)-(1): x=5y-3   5y-x=3   The answer is 3.
Answer: B
In what time will a train 140 m long cross an electric pole, it its speed be 144 km/hr?
Answers.
A) 2.5  B) 3.5  C) 4  D) 5  E) 6

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 140/40= 
140/40 = 7/2 = around 3.5
3.5 sec.   Answer: Option 3.5
Answer: B
Set X consists of prime numbers {3, 11, 7, K, 17, 19}. If integer Y represents the product of all elements in set X and if 11Y is an even number, what is the range of set X?  Choose the correct choice from the following options
A) 14
B) 16
C) 17
D) 20
E) 26

Solution: y = product of all elements in set X. now, y will be even if 2 is part of this set (k=2), else y will be odd.   since we have, 11y as an even integer. therefore y must be even. (because 11 is odd, therefore the only way in which 11y can be even is when y is even.)   thus elements in the set X are {2,3,11,7,17,19} and thus its range is 19-2= 
19-2 = 17
17;   ANSWER:17
Answer: C
Calculate the circumference of a circular field whose radius is 12 centimeters.  Choose the correct choice from the following:
A) 2  B) 4  C) 26  D) 24  E) 10

Solution: Circumference C is given by   C = 2Ï€r = 2Ï€*12 = 24 Ï€ cm   correct answer 242  *12= 
2  *12 = 24
24 Ï€ cm   correct answer 24
Answer: D
The sum of two consecutive numbers is 452. The greatest among these three number is:
Select the correct option:  A) 226  B) 228  C) 229  D) 230  E) 200

Solution: Let the numbers be x, x + 1   Then,   x + (x + 1) = 452   2x = 450   x = 225   Greatest number, (x + 1) = 226   226NSWER:226
Answer: A
A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15?	Select the correct option
A) 13
B) 11
C) 9
D) 1
E) 3

Solution: 45 + 31= 
45 + 31 = 76
76/15= 1 (Remainder)   ANSWER:1
Answer: D
A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.  Choose the correct answer.
A) 282  B) 3120  C) 8383  D) 8383  E) 3284

Solution: Let A be the amount received at the end of the three years.   A = 4800[1 + 10/100][1 + 20/100][1 + 25/100]   A = (4800 * 11 * 6 * 5)/(10 * 5 * 4)   A = Rs.7920   So the interest = 7920 - 4800 = Rs.3120   Answer: 3120
Answer: B
When 25 is subtracted from a number, it reduces to seven-twelve of the number. What is the sum of the digit of the number Choose the correct choice from the following options
A) 60
B) 44
C) 46
D) 48
E) 50

Solution: Explanation:   Let the number be x. Then,   x - 25 = 7x/12 => x - 7x/12 = 25   5x/12 = 25 => x = 60   Answer: Option 50
Answer: E
Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 5 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.961. Find the cost of each ice-cream cup? Choose the correct choice from the following choices
A) 25  B) 66  C) 77  D) 99  E) 30

Solution: Let the cost of each ice-cream cup be Rs.x   16(6) + 5(45) + 7(70) + 5(x) = 961   96 + 225 + 490 + 6x = 961   5x = 150 => x = 30.   Answer: 30
Answer: E
A cyclist bikes x distance at 20 miles per hour and returns over the same path at 16 miles per hour. What is the cyclist's average rate for the round trip in miles per hour? Choose one
A) 17.6 B) 17.3 C) 8.6 D) 17.2 E) 9.0

Solution: Distance = d1 = x miles   Speed = s1 = 20 miles per hour   Time = t1 = Distance/ Speed = x/20   2. Going from B to A   Distance = d2 = x miles   Speed = s2 = 16 miles per hour   Time = t2 = Distance/ Speed = x/16   3. 17.6verage Speed = Total Distance/Total Time   Total Distance = x + x = 2x   Total Time = x/20 + x/16 = 9x/80   Speed = 2x/(9x/80) = 160/9   = 17.6   17.6nswer : 17.6
Answer: A
A river boat leaves Silver Town and travels upstream to Gold Town at an average speed of 4 kilometers per hour. It returns by the same route at an average speed of 7 kilometers per hour. What is the average speed for the round-trip in kilometers per hour?  Choose one:
A) 5.1 B) 7.1 C) 7.2 D) 7.5 E) 8.0

Solution: Pick a number which is LCM of 7 and 4 = 18.   Upstream time = 28/4= 
28/4 = 7
7 hrs   Downstream time= 28/7= 
28/7 = 4
4 hrs   Total time= 11hrs   Total distance = 56   5.1verage Speed = 56/11 = 5.1 km/hr
Answer: A
A furniture dealer purchased a desk for $150 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?	Pick.
A) $40  B) $60  C) $80  D) $90  E) $100

Solution: Purchase price = 150   Selling price = x   150 + 0.4*x = x   0.6*x = 150   x = 250   Profit = 250 - 150= 
250 - 150 = 100
100   ANSW$100R:$100
Answer: E
A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train? Choose the correct choice from the following options:	A) 230	B) 9927	C) 267	D) 1268	E) 181

Solution: Relative speed = 120 + 80= 
120 + 80 = 200
200 km/hr.= 200 * 5/18 = 500/9 m/sec.   Let the length of the other train be x m.   Then, (x + 270)/9 = 500/9 => x = 230.   230nswer: 230
Answer: A
If the productivity of a brigade grows by 20% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade? Choose the correct choice from the following choices:
A) 0.21	B) 0.82	C) 1.31	D) 1.21	E) 1.44

Solution: B = 10-men brigade   p = increase in the productivity = 20%   Solution: B x p = B x 1.2 = 1.2B -------> the productivity of 11 men brigade   1.2B x p = 1.2B x 1.1 = 1.31B -----> the productivity of 12 men brigade   The ratio of the productivity of a 12-men brigade to that of a 10-men brigade = 1.31B/B = 1.31   1.31
Answer: C
There are 8 digit mobile no's. From that how many 8 digit mobile no.'s can be formed if any digit can be repeated and 0 can also start the mobile number?
Choose the correct choice
A) 9^8
B) 8^2
C) 10^8
D) 9^3
E) 7^5

Solution: Here the digits(0,1,2,3,4,5,6,7,8,9) can be repeated and 0 can also be used to start the mobile number. Hence, any of the 10 digits can be placed at each place of the 8 digit number.   10 10 10 10 10 10 10 10   Hence, required number of 8 digit mobile numbers   =10^8   10^8
Answer: C
A rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing. If the poles of the fence are kept 20 metres apart, how many poles will be needed ?  Choose the correct choice.
A) 55 B) 56 C) 14 D) 58 E) None of these

Solution: Solution   Perimeter of the plot = 2(90 + 50) = 280 m.   ∴ Number of poles = [280/20= 
280/20 = 14
14m Answer 14
Answer: C
A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 80 kilometers per hour. At what speed, in kilometers per hour, is the car traveling? Pick:	A) 71.5	B) 72	C) 72.5	D) 73	E) 76.6

Solution: Many approaches are possible, one of them:   Let the distance be 1 kilometer.   Time to cover this distance at 80 kilometers per hour is 1/80 hours = 3,600/80 seconds = 45 seconds;   Time to cover this distance at regular speed is 45+2= 
45+2 = 47
47 seconds= 47/3,600 hours = 5/383 hours;   So, we get that to cover 1 kilometer 1/(5/383) hours is needed --> regular speed 76.6 kilometers per hour (rate is a reciprocal of time or rate=distance/time).   Answer: 76.6
Answer: E
If logx(3) = 1/4, then x = ?
Answers:
A) 61  B) 71  C) 81  D) 91  E) 101

Solution: Rewrite the given equation in exponential form   logx(3) = 1/4 if and only if x(1/4) = 3   We now solve, for x, the exponential equation obtained above by raising both sides to the power 4.   (x(1/4)) 4 = 3 4   x = 3 4 = 81   correct answer 81
Answer: C
Find the greatest number that will divide 150, 230 and 175 leaving 50, 5 and 25 as remainders respectively Answers:  A) 19  B) 17  C) 32  D) 9  E) 8

Solution: Explanation:   Answer will be H32F of (150-50, 230-5, 175-25)   H32F of (100, 225, 150) = 32   Option 32
Answer: C
In a certain neighborhood , 60 percent of the student are going to school (A) , and the rest are going to school (B) . A new school (C) is opened , If 30 percent of student of school (A) and 40 percent of student of school (B) are expected to go to the new school (C) , what percent of student are expected to go to the new school (C) ?	Choose the correct answer:	A) 30%	B) 34%	C) 38%	D) 42%	E) 46%

Solution: Say there are total of 100 students in the neighborhood , 60 students are going to school (A) and 40 student are going to school (B)   60*0.3= 
60*0.3 = 18
18 student of school (A) are expected to go to the new school (C)   40*0.4= 
40*0.4 = 16
16 student of school (B) are expected to go to the new school (C)   Thus total of   18+16= 
  18+16 = 34
34 student are expected to go to the new school (C) , which is 34% of students .   Answer: 34%.
Answer: B
When 1/20% of 8,000 is subtracted from 1/10 of 8,000, the difference is
Choose the correct choice from the following choices.
A) 50  B) 200  C) 380  D) 798  E) 400

Solution: 1/20 % of 8000 = 4   1/10 of 8000 = 800   800-2= 
800-2 = 798
798   Ans:798
Answer: D
A train covers a distance of 12 km in 10 min. If it takes 8 sec to pass a telegraph post, then the length of the train is? Choose the correct answer:
A) 177 m
B) 189 m
C) 160 m
D) 178 m
E) 188 m

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec   = 20 m/sec.   Length of the train = 20 * 8= 
20 * 8 = 160
160 m.   Answer: 160 m
Answer: C
The speed of a boat in still water in 20 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 24 minutes is: Choose the correct choice from the following.
A) 10.6 B) 10.2 C) 10.8 D) 10.4 E) 10.0

Solution: Speed downstream = (20 + 5)= 
(20 + 5) = 25
25 kmph   Time= 24 minutes =24/60 hour = 2/5 hour   Distance travelled = Time × speed =2/5×25 = 10.0 km   Answer is 10.0.
Answer: E
What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?	Choose one:  A) 5%  B) 6%  C) 4 1/2%  D) 3 1/2 %  E) 5 1/2 %

Solution: Explanation:   160 = (180*4*R)/100   R = 5%   5%NSWER IS 5%
Answer: A
What is the greatest of 3 consecutive integers whose sum is 18 ? Choices.
A) 6
B) 7
C) 8
D) 9
E) 5

Solution: The sum of three consecutive integers can be written as n + (n + 1) + (n + 2) = 3n + 3   If the sum is 24, we need to solve the equation 3n + 3 + (  + 1) + (  + 2)= 
+ (  + 1) + (  + 2) = 3
3n + 3   If the sum is 24, we need to solve the equation 3n + 3= 18;   => 3n = 15;   => n = 5   The greatest of the three numbers is therefore   5 + 2= 
  5 + 2 = 7
7 Answer: 7
Answer: B
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? Select:	A) 15 kmph	B) 18 kmph	C) 19 kmph	D) 12 kmph	E) 11 kmph

Solution: S = (90 + 60)/2= 
(90 + 60)/2 = 75
75 kmph   Answer:18 kmph
Answer: B
What would be the minimum number of pumps required to fill a tank of 1000 m3 to 85% in one hour? The capacity of the pump is 150 m3/hour and operates at an efficiency of 75%.	Choices:  A) 6  B) 8  C) 10  D) 11  E) 12

Solution: Volume handled by pump in one hour=150x.75=112.5   Volume of the tank that needs to be filled=1000x.85=850   Number of pumps needed=850/112.5=7.55â‰ˆ8   Answer:8
Answer: B
If the wheel is 12 cm then the number of revolutions to cover a distance of 1056 cm is?  Pick one:
A) 18	B) 27	C) 26	D) 14	E) 19

Solution: 2 * 22/7 * 12 * x = 1056   => x = 14   Answer: 14
Answer: D
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work? Choose the correct choice from the following:
A) 10  B) 13  C) 14  D) 15  E) 16

Solution: According to the chain rule,   M1 x T1 = M2 x T2   Therefore, 36 x 12 x 5 = 30 x 6 x X   X = 13   Hence, the number of days = 13.   ANSWER:13
Answer: B
Number of the students in a school 5000. It decreases annually at the rate of 10% p.a. What will be its number of the students after 3 years?	Choices: A) 3635 B) 3500 C) 4000 D) 4500 E) 3750

Solution: Formula :   ( 3635fter =100 denominator   3635go = 100 numerator)   8000 Ã— 90/100 Ã— 90/100 x 90/100 = 3635   3635
Answer: A
A type E machine can complete a job in 5 hours and a type B machine can complete the job in 7 hours. How many hours will it take 2 type E machines and 3 type B machines working together and independently to complete the job? Choose the most appropriate option:
A) 1/5
B) 29/35
C) 5/6
D) 35/29
E) 35/12

Solution: now D should be the answer.   E need 5 hours to complete   and B needs 7 hours to compete   so 2E + 3B will complete 2/5 + 3/7 or 29/35 portion of the job in 1 hour   so the whole job will take 35/29 hours....=35/29
Answer: D
John makes $50 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?  Choose the correct choice from the following choices:
A) 16%  B) 16.66%  C) 17.9%  D) 20%  E) 40%

Solution: Increase = (20/50)*100 = (2/5)*100= 
(2/5)*100 = 40
40%.   40%
Answer: E
In a group of 80 children and 10 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?  Choose the correct answer:  A) 1160  B) 2881  C) 2678  D) 2321  E) 2879

Solution: Number of sweets each child got = 15% of 80 = 15/100 * 80= 
15/100 * 80 = 12
12.   Number of sweets 80 children got= 80 * 12= 
80 * 12 = 960
960.   Number of sweets each youngster got= 25% of 80 = 25/100 * 80= 
25/100 * 80 = 20
20.   Number of sweets 10 youngsters got= 10 * 20= 
10 * 20 = 200
200.   Total number of sweets= 960 + 200= 
960 + 200 = 1_160
1160.   1160nswer:1160
Answer: A
8 is 2% of a, and 2 is 8% of b. c equals b/a. What is the value of c?  Pick one:
A) 1/16 B) 1/4 C) 1 D) 4 E) 8

Solution: 2a/100 = 8   a = 400   8b/100 = 2   b = 25   c = b/a = 25/400 = 1/16   The answer is 1/16.
Answer: A
In a games hour 4 different types of players came to the ground? cricket 11, hockey 15, football 21, softball 15. In these 4 people play both cricket and hockey, 3people play both softball and football. 2 people play both cricket and football. How many people play only cricket?  Choose the correct choice
A) 11	B) 5	C) 8	D) 3	E) 9

Solution: people play only cricket = total players in cricket- both cricket and football- both cricket and hockey.   people play only cricket = 11-4-2= 
11-4-2 = 5
5   Answer is 5
Answer: B
38 69 22 73 31 47 13 82 66 97 41 79
Which of the following numbers is greater than three fourths of the numbers but less than one fourth of the numbers in the list above?
Choose the correct choice from the following:
A) 71  B) 76  C) 81  D) 92  E) 97

Solution: Arrange the numbers in ascending order:   13, 22, 31, 38, 41, 47, 66, 69, 73, 79, 82, 97 (Just cross check the count to ensure that you didn't miss anything)   How many numbers do we see?   12, alright.   What's (1/4)12?   3.   What's (3/4)12?   9.   We're asked to find a number that are greater than 6 numbers in the list AND smaller than the remaining two.   13, 22, 31, 38, 41, 47, 66, 69, 73, 79, 82, 97   13, 22, 31, 38, 41, 47, 66, 69, 73: Find a number greater than any of these numbers.   79, 82, 97: Find a number smaller than any of these numbers.   Only 76 fits the description.   Ans:76
Answer: B
The price of lunch for 20 people was $300 including a 20% gratuity for service. What was the average price per person, EXCLUDING the gratuity?  Choose the correct choice:
A) 11.73
B) 12.5
C) 13.8
D) 14
E) 15.87

Solution: Clearly 12.5 is the answer   I used POE here   Lets consider option (12.5)   20*12.5= 
20*12.5 = 250
250 now 250(120/100)=300   => possible ANSWER IMO 12.5
Answer: B
In a particular game, there can be eight players at one time on the pitch and they last for seventy minutes. In the total duration, six players substitute with each player. All the players are then for the same time on the pitch including the substitutes.
Can you calculate the time each player was on the pitch?
Select:
A) 40 Min	B) 37 Min	C) 42 Min	D) 45 Min	E) 50 Min

Solution: A   40 minutes   The total number of players = 8 + 6= 
8 + 6 = 14
14   According to the question, only eight players can be present on the field. Thus calculating the total time:   70 * 8= 
70 * 8 = 560
560   We know that there are 14 players in total so dividing the total time by 14 will give us the time spent by each player.   560/14= 
560/14 = 40
40 minutes
Answer: A
Suresh started a business, investing Rs.18000. After 3 months and 4 months respectively, Rohan and Sudhir joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.3872. What is the difference between Rohan’s and Sudhir’s share in the profit?
Choose the correct choice
A) s.345	B) s.350	C) s.352	D) s.362	E) s.368

Solution: Suresh : Rohan : Sudhir   Ratio of their investments = 18000 × 12 : 12000 × 9 : 9000 × 8   = 6 : 3: 2   The difference between Rohan’s and Sudhir’s share = 1 share   :.i.e. = Rs. 3872 × 1/11 = Rs.352.   s.352
Answer: C
A person purchases tomatoes from each of the 4 places at the rate of 1 kg, 2 kg, 3 kg, 4 kg per rupee respectively. On an average he has purchased x kg of tomatoes per rupee. Then the value of x is
Select:	A) 2	B) 2.5	C) 1.92	D) None of these	E) Cannot be determined

Solution: x = 10/4= 
10/4 = 5/2 = around 2.5
2.5   Answer: 2.5.
Answer: B
a car cover a distance of 715 km. with some speed.if speed of car is 10km/hour more,then it take 2 hour less to cover that distance.then initially what was the speed of the car?	Pick one:
A) 45km/h  B) 50km/h  C) 55km/h  D) 65km/h  E) none of these

Solution: let speed=x km./hour.then,   715/x-715/(x+10)=2,1/x-1/(x+10)=2/715;(x+10)-x/x(x+10)=2/715   2x(x+10)=7150;2x^2+20x-7150=0   x^2+10x-3575=0;x^2+65x-55x-3575=0   x(x+65)-55(x+65)=0;(x+65)(x-55)=0   x=55,because x can't be -65   answer 55km/h
Answer: C
A pump can fill a tank with water in 2 hours. Because of a leak, it took 4 hours to fill the tank. The leak can drain all the water in ?  Choose the correct choice from the following choices.
A) 2hr	B) 1hr	C) 3hr	D) 4hr	E) 6hr

Solution: Work done by the leak in 1 hour = 1/2 - 1/4 = 1/4   Leak will empty the tank in 4 hours   Answer is 4hr
Answer: D
What is 15% of 2/3 of 0.8?  Choices
A) 0.08  B) 0.8  C) 9  D) 90  E) None of the above

Solution: The best way to solve these questions is to convert every term into fraction   (15/100)*(2/3)*(8/10) = 240/3000= 
240/3000 = 2/25 = around 0.08
0.08   Option 0.08
Answer: A
Find the value of (√1.5)/(√0.81) + (√1.44)/(√0.49) is
Choose the most appropriate option:
A) 195/63  B) 145/63  C) 155/63  D) 125/63  E) 3.075

Solution: (√1.5)/(√0.81) + (√1.44)/(√0.49)   => 3.075   Answer is 3.075.
Answer: E
Martha has 6 dogs and 4 cats. She takes each animal separately for a daily walk. She can take the animals for a walk to the park or to the barber shop. How many different options for a walk with a single animal does Martha have?
Select the correct option: A) 8 B) 9 C) 10 D) 18 E) 20

Solution: 5 dogs, 4 cats; park/barber shop   1 dog - 2 options - either park or barber shop, so, 6 dogs - 12 options and 4 dogs - 8 options.   Total = 20 options.   20
Answer: E
128 students represent x percent of the boys at a school. If the boys at the school make up 50% of the total school population of x students, what is x?	Choose the correct choice from the following options: A) 160 B) 190 C) 225 D) 250 E) 500

Solution: Let B be the number of boys in the school.   128 = xB/100   B = 0.5x   12800=0.5x^2   x^2 = 25600   x = 160   The answer is 160.
Answer: A
If to a certain number, 720 be added, and the sum be divided by 125 ; the quotient will be equal to 7392 divided by 462. What is that number?
Answers
A) 1280 B) 1270 C) 1260 D) 1250 E) None

Solution: Solution   Let x = the number required.   a = 720 d = 7392   b = 125 h = 462   Then by the conditions of the problem (x + a)/b = d/h   Therefore x = (bd - ah)/h   Restoring the numbers,x = [(125.7392) - (720.462)]/462 = 1280.   1280nswer 1280
Answer: A
In a class, the average age of 35 boys is 10 years and the average of 25 girls is 15 years. what is the average age of the whole class?	Options:  A) 11 Years  B) 12.1 Years  C) 13 Years  D) 13.5 Years  E) 14 Years

Solution: Total age of 60 students   (35X 10+25 X 15) = 725   Average = 725/60 = 12.1 Years   12.1 Years)
Answer: B
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?
Choose the correct choice from the following options.
A) 17/25
B) 17/24
C) 17/29
D) 17/20
E) 17/21

Solution: n(S) = 20   n(Even no) = 10 = n(E)   n(Prime no) = 8 = n(P)   P(EᴜP) = 10/20 + 8/20 - 1/20 = 17/20   Answer: 17/20
Answer: D
From the below series find the remainder from below? 1201 × 1203 ×1205 × 1207 is divided by 6	Options
A) 3
B) 5
C) 6
D) 7
E) 9

Solution: If you don't know the above rule, this problem is really calculation intensive.   But by applying the above rule, when 1201, 1201, 1203, 1204 divided by 6, leaves remainders 1, 3, 5, 1. The product of these remainders = 15.   When 15 is divided by 6, Remainder is 3   3
Answer: A