MU-NLPC/Calc-aqua_rat huggingface dataset:
A person borrows 9000 for 9 years at 3% p.a. simple interest. He immediately lends it to another person at 7 % p.a. for 9 years. Find his gain in the transaction per year.
Choose one:
A) 380
B) 360
C) 340
D) 300
E) 180

Solution: Gain in 9 years   = [(9000Ã—9Ã—7/100)âˆ’(9000Ã—9Ã—3/100)]   = (5670 â€“ 2430) = 3240   âˆ´ Gain in 1 year = (3240/9)= 
(3240/9) = 360
360   Answer 360
Answer: B
Albert is 2 times Mary’s age and 4 times as old as Betty. Mary is 12 years younger than Albert. How old is Betty?	Choose the most appropriate option.
A) 6  B) 12  C) 10  D) 15  E) 18

Solution: 6 = 2M = M+12= 
+12 = 12
12   6= 24   6 = 4B, and so B = 6   The answer is 6.
Answer: A
Ramu bought an old car for Rs. 40000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent? Choose the correct choice from the following answers.
A) 17%  B) 22.4%  C) 18%  D) 14%  E) 16%

Solution: Total CP = Rs. 40000 + Rs. 13000   = Rs. 53000 and SP   = Rs. 64900   Profit(%) = (64900 - 53000)/53000 * 100   = 22.4%   Answer: 22.4%
Answer: B
The function f(P) represents the number of ways that prime numbers can be uniquely summed to form a certain number P such that P = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)?	Options
A) 4	B) 5	C) 6	D) 7	E) 8

Solution: So we can start with 2 and check whether sum of two primes is primes is even.   1) 2(6 times)   2) 2(3 times) + 3(2 times)   3) 2(2 times) + 3 + 5   4) 2 + 3 + 7   5) 2 + 5 + 5   6) 3(4 times)   7) 5 + 7   Answer: 7
Answer: D
350 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees Choices:
A) 10 B) 12 C) 14 D) 16 E) 18

Solution: 26 trees have 25 gaps between them,   Required distance (350/25)= 
(350/25) = 14
14   14
Answer: C
A retailer sells products that belong to different categories, A to F, in alphabetical order. The number of products sold in each category is distinct and in ascending order. If at-least 2 products are sold in any category and a total of 27 products were sold last week, what is the probability that a product sold last week belonged to Category D?
Choices
A) 2/27	B) 4/27	C) 5/27	D) 8/27	E) 15/27

Solution: there are 6 distinct categories..   Since each category has to have at least 2 products..   let A have 2 and each thereafter has ONE more than previous..   so A,B,C,D,E, and F will have minimum 2+3+4+5+6+7 = 7*8/2 -1 = 28-1 =27..   therefore ONLY possibility of products in each due to restriction of TOTAL as 27 is 2,3,4,5,6,7 so D will have 5 products..   Probability = 5/27   ANSWER:5/27
Answer: C
In racing over a given distance d at uniform speed, A can beat B by 30 meters, B can beat C by 8 meters, and A can beat C by 37 meters. What is the distance d in meters?
Choose the correct answer
A) 160 B) 180 C) 200 D) 220 E) 240

Solution: When A is at the finish line, B is 30 meters back, and C is 37 meters back.   When B runs another 30 meters to the finish line, C is 8 meters back.   So B gains 1 meter on C every 30 meters covered.   To gain a final difference of 8 meters, B runs a total of 240 meters.   The answer is 240.
Answer: E
A family with 1 mother, 1 father, and 2 children sit in a car with 2 front seats and 2 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other one children on either side of him, how many seating arrangements are possible?  Choose the correct choice from the following answers:	A) 3	B) 4	C) 6	D) 8	E) 10

Solution: Mother has a fixed place and father, so there are 3*2 ways to arrange the children, hence 6
Answer: C
A number when divided b the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is:  Select the correct option:
A) 1220
B) 1250
C) 2030
D) 22030
E) 1350

Solution: Required number = (555+445)*2*110+30   = 220000+30= 
220000+30 = 220_030
220030.   ANSWER:22030
Answer: D
At the opening of a trading day at a certain stock exchange, the price per share of stock K was $8. If the price per share of stock K was $9 at the closing of the day, what was the percent increase in the price per share of stock K for that day?  Answers:
A) 1.4%	B) 5.9%	C) 11.1%	D) 12.5%	E) 23.6%

Solution: Opening = 8   Closing = 9   Rise in price = 1   So, percent increase = 18∗10018∗100 =>12.50%   Thus answer will be (12.5%)
Answer: D
Andrew purchased 6kg of grapes at the rate of 74 per kg and 9 kg of mangoes at the rate of 59 per kg. How much amount did he pay to the shopkeeper?  Choose one:  A) 1000  B) 975  C) 980  D) 1020  E) 1080

Solution: Cost of 6 kg grapes = 74 × 6 = 444.   Cost of 9 kg of mangoes = 59 × 9 = 531.   Total cost he has to pay = 444 + 531= 
444 + 531 = 975
975   975
Answer: B
A beaker contains 180 liters of alcohol. On 1st day, 60 l of alcohol is taken out and replaced by water. 2nd day, 60 l of mixture iss taken out and replaced by water and the process continues day after day. What will be the quantity of alcohol in beaker after 3 days  Choose the correct choice from the following choices:
A) 53.3
B) 53.8
C) 53.7
D) 53.5
E) 353.3

Solution: Use the formula,   Final 53.3lcohol = Initial 53.3lcohol ×(1−ReplacementquantityFinalVolume)n×(1−ReplacementquantityFinalVolume)n   Final 53.3lcohol = 180(1−60180)3180(1−60180)3 = 180×(23)3=53.3   53.3ns: 53.3
Answer: A
If z is a multiple of 8778, what is the remainder when z^2 is divided by 9?  Choose the correct choice from the following:
A) 0	B) 2	C) 4	D) 6	E) 8

Solution: The sum of the digits is 8+7+7+8= 
8+7+7+8 = 30
30.   Thus 3 is a factor of 8778, so 3 is a factor of z.   Then 3^3= 9 is a factor of z^2.   Then the remainder when z^2 is divided by 9 is 0.   The answer is 0.
Answer: A
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?	Pick one:
A) 20/89  B) 20/9  C) 20/7  D) 20/6  E) 20/1

Solution: They are moving in opposite directions, relative speed is equal to the sum of their speeds.   Relative speed = (54 + 72)*5/18 = 7*5= 
7*5 = 35
35 mps.   The time required= d/s = 100/35 = 20/7 sec.   Answer:20/7
Answer: C
A, B and C work on a task. To complete the task alone, B takes twice the time that A would take to complete the task alone and 1/3rd the time that C would take to complete the task alone. If B actually worked for half the number of days that A worked and 3/2 times the number of days that C worked, what proportion of the total work was completed by B?
Choose the correct choice from the following.
A) 1/3	B) 2/9	C) 9/46	D) 7/19	E) 1/6

Solution: The first thing to notice is that A is faster than B and B is faster than C.   Since work is proportional to time, in 1 day lets say if A does 2 works, B does 1 work and C does 2/3rd of a work.   If A works for 2 days, B works for 1 day and C works for only 2/3 of the day.   Therefore total work done = (2*2) + (1*1) + (1/3*1/3) = 46/9   Proportion of work done by B = (1*1) / (46/9) = 9/46   Hence Answer 9/46.
Answer: C
The ratio of sum of squares of first n natural numbers to square of sum of first n natural numbers is 17:325. the value of n is	Choose the correct choice:  A) 15  B) 25  C) 35  D) 30  E) none of these

Solution: sum of 1st n natural no.s is n(n+1)/2,   sum of sqaures of 1st n natural no.s is n(n+1)(2n+1)/6,   The ratio of sum of squares of first n natural numbers to square of sum of first n natural numbers=n(n+1)(2n+1)*2*2/(n*n*(n+1)*(n+1))   =2(2n+1)/(3n(n+1))   now by hit and trial for the given options,if we put 25 then this will give 17/325   therefore the answer is 25   ANSWER:25
Answer: B
A man’s speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr.The man’s speed against the current is :	Choose the correct choice from the following answers: A) 8.5 km/hr B) 9 km/hr C) 10 km/hr D) 12.5 km/hr E) None of these

Solution: Solution   Man’s rate in still water =(15-2.5) km/hr = 12.5 km/hr.   Man’s rate against the current = (12.5-2.5)km/hr = 10 km/hr. Answer 10 km/hr
Answer: C
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 50 as remainder. Find the no. is?  Choices.
A) 145646 B) 236578 C) 645353 D) 456546 E) 220050

Solution: (555 + 445) * 2 * 110 + 50 = 220000 + 50= 
220000 + 50 = 220_050
220050   220050
Answer: E
If the sum and the difference of two numbers are 20 and 8 respectively, then the difference of their square is Choose the correct answer.
A) 12
B) 28
C) 160
D) 180
E) None

Solution: Solution   Let the numbers be x and y.   Then, x + y = 20 and x - y = 8.   Therefore,x2 - y2 = (x + y)(x - y)   ‹=› 20 x 8   ‹=› 160.   Answer 160
Answer: C
Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 9 meters, and the interior of tank B has a height of 9 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?	Choices:
A) 75%
B) 90%
C) 100%
D) 120%
E) 125%

Solution: The radius of tank A is 9/(2*pi).   The capacity of tank A is 10*pi*81 / (4*pi^2) = 405 / (2*pi)   The radius of tank B is 10 / (2*pi).   The capacity of tank 90% is 9*pi*100 / (4*pi^2) = 450 / (2*pi)   Tank A / Tank 90% = 405/450 = 9/10 = 90%   The answer is 90%.
Answer: B
Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Options:
A) 19 1/7 min B) 15 1/7 min C) 17 1/7 min D) 7 1/7 min E) 9 1/7 min

Solution: Explanation:   1/20 + 1/30 - 1/40 = 7/120   120/7 = 17 1/7   Answer: Option 17 1/7 min
Answer: C
Which of the following number will completely divide (49^15)-1?
Choose the correct choice from the following options:	A) 8	B) 6	C) 22	D) 12	E) 14

Solution: x^n - 1 will be divisible by x+1 only when n is even.   49^15 - 1 = (7^2)^15 - 1 = 7^30 - 1 which is divisible by 7+1 i.e. 8   8nswer is 8
Answer: A
A’s speed is 16/15 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Choose the correct option
A) 1/8  B) 1/16  C) 1/15  D) 1/32  E) 1/31

Solution: Let x be the fraction of the distance that B runs.   Let v be the speed at which B runs.   The time should be the same for both runners.   Time = D / (16v/15) = xD/v   (15/16)*D/v = x*D/v   x = 15/16   B should have a head start of 1/16 of the full distance.   The answer is 1/16.
Answer: B
Two brothers Ram and Ravi appeared for an exam. The probability of selection of Ram is 4/7 and that of Ravi is 1/5. Find the probability that both of them are selected.
Choose the correct choice from the following:  A) 4/35  B) 2/3  C) 7/35  D) 5/7  E) 7/5

Solution: Let A be the event that Ram is selected and B is the event that Ravi is selected.   P(A) = 4/7   P(B) = 1/5   Let C be the event that both are selected.   P(C) = P(4/35) x P(B) as 4/35 and B are independent events:   = 4/7 x 1/5 = 4/35   4/35NSWER:4/35
Answer: A
Express 45 mps in kmph?  Choose the correct option.
A) 170	B) 160	C) 162	D) 130	E) 122

Solution: 45 * 18/5= 
45 * 18/5 = 162
162 kmph   Answer:162
Answer: C
In how many ways, a committee of 5 members can be selected from
6 men and 5 ladies, consisting of 3 men and 2 ladies? Choose the correct choice from the following answers: A) 100 B) 200 C) 300 D) 400 E) 500

Solution: (3 men out 6) and (2 ladies out of 5) are to be chosen.   Required number of ways = (6c3x5c2) = [6x5x4/3x2x1] x [5x4/2x1] = 200.   Answer 200.
Answer: B
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one DOOR of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?	Choices
A) 4687
B) 3899
C) 7815
D) 4530
E) 3573

Solution: Area of the four walls = 2h(l + b)   Since there are DOORS and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.   Total cost = 906 * 5 = Rs. 4530   Answer: Option 4530
Answer: D
In the xy-coordinate system, line k passes through points (-9m, 0) and (0, 3m). Which of the following is a possible equation of line k?
Choose one.
A) y = -3x + 3m B) y = 1/3*x - 9m C) y = 3x + 3m D) y = 1/3*x + 3m E) y = -1/3*x - 9m

Solution: The slope of the line is 3m/9m=1/3.   The y-intercept is 3m.   the equation of the line is: y = 1/3*x +3m   The answer is y = 1/3*x + 3m.1/3*  +3= 
1/3*  +3 = 1
1/3*x + 3m.
Answer: D
Six years ago, the ratio of ages of Kunal and Sagar was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Sagar's age at present?	Pick:
A) 16 B) 17 C) 8 D) 12 E) 10

Solution: Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.   Then, [(6x + 6) + 4] / [(5x + 6) + 4] = 11/10   10(6x + 10) = 11(5x + 10) => x = 2   Sagar's present age = (5x + 6) = 16 years.16nswer: 16
Answer: A
Three friends (Sam, Jerry and Guy) are employees of a company. Their respective salaries are in the ratio of 2 : 5 : 7. Jerry and Guy's salaries together is Rs. 6600. By what percent is Guy's salary than that of Sam?  Pick one
A) 250%	B) 200%	C) 150%	D) 350%	E) 110%

Solution: Explanation:   Let the salaries of A, B, C be 2x, 5x and 7x respectively.   Then,5x + 7x = 6600 => x = 550.   Sam's salary = Rs. 1100, , Jerry's salary = Rs. 2750, and Guy's salary Rs. 3850.   Excess of Guy's salary over Sam's=[ (2750 /1100) x 100] = 250%.   250%nswer: 250%
Answer: A
A person walks from one end to the other of a 80-meter long moving walkway at a constant rate in 40 seconds, assisted by the walkway. When this person reaches the end, they reverse direction and continue walking with the same speed, but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway. If the walkway were to stop moving, how many seconds would it take this person to walk from one end of the walkway to the other?
Choose the correct choice from the following:	A) 56	B) 60	C) 64	D) 68	E) 72

Solution: Let v be the speed of the person and let x be the speed of the walkway.   40(v+x)=80 then 120(v+x)=240   120(v-x)=80   When we add the two equations:   240v=320   v=4/3   time = 80 / (4/3)= 
80 / (4/3) = 60
60 seconds   The answer is 60.
Answer: B
A group consists of 8 men, 8 women and 4 children. In how many ways can 2 men , 2 women and 1 child selected from the given group?  Select the correct option:
A) 3236	B) 3336	C) 3436	D) 3136	E) 6436

Solution: Two men, two women and one child can be selected in 8C₂ * 8C2 * 4C₁ ways    8*7/2*1*8*7/2*1*4= 
 8*7/2*1*8*7/2*1*4 = 3_136
3136 ways   Answer : 3136
Answer: D
A man can swim in still water at 7.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?	Choose the correct choice from the following answers.
A) 3
B) 2.5
C) 2.25
D) 1.5
E) 4

Solution: M = 7.5   S = x   DS = 7.5 + x   US = 7.5 - x   7.5 + x = (7.5 - x)2   7.5 + x = 15 -2x   3x = 7.5   x = 2.5   ANSWER:2.5
Answer: B
The inverse ratio of 3: 5: 1 is?  Options:
A) 2:3:7	B) 5:3:15	C) 2:3:2	D) 2:3:6	E) 2:3:1

Solution: 1/3: 1/5: 1/1 = 5:3:15   Answer:5:3:15
Answer: B
If a and b are positive numbers, and a^3 + b^3 = 100, then the greatest possible value of a is between: Choices
A) 0 and 3	B) 3 and 4	C) 4 and 5	D) 5 and 7	E) 7 and 9

Solution: If a = 4.5 and b is a bit more than 2, then a^3 + b^3 can equal 100.   If a > 5, then a^3 + b^3 > 100.   The answer is 4 and 5.
Answer: C
a and b can do a piece of work in 28 days. with the help of c, they can finish it in 21 days .how long will c take to finish it Select:  A) 84 days  B) 74 days  C) 64 days  D) 82 days  E) 86 days

Solution: 84 days + B 's 1 day work = 1/28   84 days + B + C 's 1 day work = 1/21   1/28 + C= 1/21   C = 1/21 - 1/28   C = 1/84   So C ll finish the work alone in 84 days   84 daysNSWER:84 days
Answer: A
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m? Choose the correct choice from the following:  A) Rs.4086.40  B) Rs.4882.40  C) Rs.4089.40  D) Rs.4082.40  E) Rs.3082.40

Solution: Length of the first carpet = (1.44)(6) = 8.64 cm   Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)   = 51.84(1.4)(5/4) sq m = (12.96)(7) sq m   Cost of the second carpet = (45)(12.96 * 7) = 315 (13 - 0.04)   = 4095 - 12.6   = Rs.4082.40   Answer:Rs.4082.40
Answer: D
A machine puts d caps on bottles in m minutes. How many hours will it take to put caps on b bottles? Choose the correct choice from the following
A) 60bm/d
B) b/60dm
C) bd/60m
D) 60b/dm
E) bm/60d

Solution: A machine puts d caps on bottles in m minutes.   So, the machine puts 1 cap in m/c minutes   To put caps on b bottles, the machine will take bm/d minutes   In order to calculate the no. of hours taken , divide the product by 60.   So, our answer is bm/60d   Answer : bm/60d
Answer: E
A recipe for a large batch of fruit juice at a factory calls for 10% oranges, 20% lemons, and 70% limes. if 35 limes are used, how many oranges are needed?  Choose the correct option.
A) 2  B) 5  C) 10  D) 40  E) 50

Solution: 70%= 35 fruit   100%=50 fruit   10% of 50 fruit=5 fruit   5 oranges   ANSWER:5
Answer: B
{-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number will be a solution to the equation (x-9)(x+8)(2X+5) = 0?  Choose the correct option:
A) 1/12  B) 1/6  C) 1/4  D) 1/3  E) 1/2

Solution: x = -1   Prob = 1/12   1/12nswer - 1/12
Answer: A
193,194,207,.....?	Answers:
A) 340  B) 341  C) 342  D) 343  E) 344

Solution: first increment is by 1 which is the first odd number second increment is by 13 in this 2nd term is 3 which is second odd number the next increment should be by 135 in this the third term is 5 which is third odd number .Thus 342 is the answer.   ANSWER:342
Answer: C
A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1480?
Choose the most appropriate option:	A) 228	B) 217	C) 100	D) 288	E) 772

Solution: 3x 4x 5x   6 9 4   18x + 36x + 20x = 1480   74x = 1480 => x = 20   5x = 100 Rs.   Answer: 100
Answer: C
A man complete a journey in 10 hours. He travels first half of the journey at the rate of
21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km. Choices:
A) 121 KM B) 242 KM C) 224 KM D) 112 KM E) 120 KM

Solution: AVERAGE SPEED = 2*21*24/21+24 = 22.4 KM/HR   TOTAL DIST = 22.4 * 10= 
22.4 * 10 = 224
224 KM   DIST= SPEED * TIME   LET TIME TO TRAVEL THE FIRST HALF = X HR   THEN TIME = (10-X) HR   DIST COVERED IN FIRST HALF = 21X   DISTANCE COVERED IN SECOND HALF = 24(10-X)   242 KMUT DISTANCE COVERED 242 KMOTH EQUAL   21X = 24(10-X)   X=16/3   HENCE 21X = 21 * 16/3 = 7 * 16= 
7 * 16 = 112
112 KM TOTAL DIST= 2 * 112= 
2 * 112 = 224
224 KM   ANSWER 242 KM
Answer: B
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start at same point at 7:30 am. They shall first cross each other at ?  Options:
A) 7:15 am  B) 7:30 am  C) 7: 42 am  D) 7:50 am  E) 7:60 am

Solution: Explanation:   Relative speed between two = 6-1= 
6-1 = 5
5 round per hour   They will cross when one round will complete with relative speed,   which is 1/5 hour= 12 mins.   So 7:30 + 12 mins = 7:42   Option 7: 42 am
Answer: C
Pipes A and B can fill a tank in 6 and 8 hours. Pipe C can empty it in 4 hours. If all pipes are opened together, then the tank will be filled in?  Answers.
A) 3/2hr B) 24hr C) 22hr D) 20hr E) 5/3hr

Solution: Net part filled in 1 hour = 1/6 + 1/8 - 1/4 = 1/24   The tank will be full in 24 hr   Answer is 24hr
Answer: B
John purchased a fridge and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the fridgeat a loss of 4% and the mobile phone at a profit of 10%. Overall how much he make a profit.  Select the correct option
A) Rs. 100  B) Rs. 130  C) Rs. 200  D) Rs. 230  E) Rs. 250

Solution: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.   r = 15000(1 - 4/100) = 15000 - 600   m = 8000(1 + 10/100) = 8000 + 800   Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200   As this is positive, an overall profit of Rs. 200 was made.   Rs. 200
Answer: C
The area of a triangle is with base 2m and height 5m?	Options:
A) 11	B) 10	C) 787	D) 122	E) 5

Solution: 1/2 * 2 * 5= 
1/2 * 2 * 5 = 5
5 m2   Answer: 5
Answer: E
The side of a square is increased by 25% then how much % does its area increases? Choose the most appropriate option:
A) 56.25 %
B) 56.25 %
C) 56.85 %
D) 52.25 %
E) 56.55 %

Solution: a = 100 a2 = 10000   a = 125 a2 = 15625   ----------------   10000 --------- 5625   100 -------? => 56.25 %   Answer:56.25 %
Answer: B
(X)+3612+16125-6149=90189. Calculate the value of X  Choose the correct answer
A) 76601
B) 76600
C) 76655
D) 76313
E) 76723

Solution: x+3612+16125-6149=90189   =x+3612+16125=90189+6149   =x+19737=96338   =x=96338-19737= 
96338-19737 = 76_601
76601   76601nswer is 76601
Answer: A
There are 10 magazines lying on a table; 5 are fashion magazines and the other 5 are sports magzines. If 4 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazine will be selected?	Options:
A) 60/61  B) 40/42  C) 41/42  D) 45/46  E) 54/55

Solution: 1- (5c4/10c4) = 1-1/42 = 41/42   Answer : 41/42
Answer: C
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 60. What is the total number of students in the school?	Pick one
A) 72	B) 80	C) 125	D) 150	E) 100

Solution: Explanation: 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= 60 + 2/3 of 60   80/100x = 100   x = 125.   Answer: Option 125
Answer: C
On an order of 9 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of: Choose the correct choice from the following:
A) 10%
B) 15%
C) 20%
D) 25%
E) 30%

Solution: Clearly, the retailer gets 1 dozen out of 10 dozens free.   Equivalent discount = 1/10 * 100= 
1/10 * 100 = 10
10%.   10%nswer 10%) 10%
Answer: A
How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest ?
Answers.
A) 3.5 years
B) 4 years
C) 4.5 years
D) 5 years
E) None of these

Solution: Solution   Time =(100*81/450*4.5) years =4 years   Answer 4 years
Answer: B
For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 100?	Choose the correct answer.
A) 30 B) 28 C) 27 D) 25 E) 26

Solution: 4n+7 > 1   4n> -6   n > -(3/2)   n> -1.5 (n = -1, 0, 1 ,2 3........ upto infinity)   From second constraint   4n+7 < 100   4n< 93   n < 23. 25   n = (-infinity, .......-3, -2, -1, 0, 1, 2, .........upto 23)   Combining the two   -1.5 < n<23.25   n = 1 to 23 (23 integers)   and n = -1 and 0   so 25 integers.   25 is the answer
Answer: D
A cricket player whose bowling average was 22.5 runs per wicket, takes 5 wicket for 52 runs in a match. Due to this his average decreases by 0.5. What will be the number of wickets taken by him till the last match?	Choose the correct choice: A) 64 B) 72 C) 121 D) 984 E) 108

Solution: Average = Total Runs / Total wickets   Total runs after last match = 22.5w + 52   Total wickets after last match = w + 5   (22.5w + 52) / (w + 5) = 22.5 - 0.5= 
22.5 - 0.5 = 22
22   w= 116   so total wickets aftr last match = w+5 = 121   ANSWER:121
Answer: C