MU-NLPC/Calc-aqua_rat huggingface dataset:
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Pick
A) 200 m
B) 700 m
C) 800 m
D) 100 metre
E) 1600 m

Solution: Explanation:   A can give B (5 min - 4 1/2 min) = 30 sec start.   The distance covered by B in 5 min = 1000 m.   Distance covered in 30 sec = (1000 * 30)/300= 
(1000 * 30)/300 = 100
100 m.   A can give B 100m start.   Answer:100 metre
Answer: D
Of 70 players on a football team, 34 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total? Choose the correct choice:
A) 54 B) 58 C) 63 D) 71 E) 92

Solution: Total = 70   Thrower = 34   Rest = 70 - 34= 
70 - 34 = 36
36   Left Handed= 36/3= 
36/3 = 12
12   Right handed= 24   If all Thrower are right handed then total right handed is   34 + 24= 
  34 + 24 = 58
58   so B. 58 is the right answer
Answer: B
If
1 = 6
2 = 12
3 = 18
4 = 24
5 = 30
6 = 36
Then 12 = ?
Hint: Its a logic Riddle not a mathematical riddle Pick one:	A) 1	B) 2	C) 3	D) 4	E) 5

Solution: 2   2   As stated   2=12 => 12=2   Answer is 2
Answer: B
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.3 years, The ratio of the number of boys to the number of girls in the class is Choose the correct choice from the following options.
A) 7 : 3 B) 2 : 3 C) 9 : 3 D) 6 : 3 E) 5 : 6

Solution: Explanation:   Let the ratio be k : 1. Then,   k * 16.4 + 1 * 15.3 = (k + 1) * 15.8   <=> (16.4 - 15.8) k = (15.8 - 15.3) <=> k = 0.5/0.6 = 5/6.   Required ratio = 5/6 : 1 = 5 : 6.   Answer: 5 : 6
Answer: E
What will come in place of the x in the following Number series? 18, 22, 30, x ,78, 142	Choose the correct option:	A) 26	B) 32	C) 46	D) 49	E) 43

Solution: (46)   The pattern is +4, +8, +16, +32, +64   So the missing term is = 30 + 16= 
30 + 16 = 46
46 .
Answer: C
The sum of Two Numbers is 15 and the product is 56. Find the sum of the squares of the Numbers.	Pick:
A) 15	B) 125	C) 89	D) 65	E) 113

Solution: let the numbers be x, y.   x + y = 15   Square of (x + Y) = X Square + Y Square + 2XY   225 = X Square + Y Square + 112   X Square + Y Square = 225 - 112= 
225 - 112 = 113
113   so the answer is option 113
Answer: E
The area of a rectangle is 360 Sq.m. If its length is increased by 10m and its width is decreased by 6m, then its area does not change. Find the perimeter of the original rectangle. Choose the correct choice from the following options:
A) 74m  B) 75m  C) 76m  D) 77m  E) 78m

Solution: let l and b are the length and width of the original rectangle.   since,l*b=360sq.m-(1)   now,a/c to the problem   (l+10)*(b-6)=360sq.m   therefore,   b=6(1+l/10)-(2)   l*l+10l-600=0 {by using equations 1 and 2}   thereafter,   (l-20)(l+30)=0   hence, l=20m   b=18m {by using equation 2}   now, Perimeter of the original rectangle=2(l+b)=2(20+18)=76m   ANSWER:76m
Answer: C
A shopkeeper sells 400 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 most appropriate option: A) 12 B) 67 C) 26 D) 50 E) 12

Solution: SP per metre = 18000/400 = Rs. 45 Loss per metre = Rs. 5 CP per metre = 45 + 5   = Rs. 50   Answer:50
Answer: D
If 100!/x is not an integer,which of the following could be the value of x? Choices:
A) 5^24	B) 7^16	C) 11^9	D) 13^6	E) 17^6

Solution: Checking the options is the best way to go. The answer will be a number which doesn't completely divide 100!   No of 5's in 100! = 24   No of 7's in 100! = 16   No of 11's in 100! = 9   No of 13's in 100! = 7   No of 17's in 100! = 5   There are 5 seventeens in 100! , however we are dividing by 17^6 , so this can not divide 100!   Hence our answer will be 17^6
Answer: E
Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Select
A) 6 years  B) 8 years  C) 9 years  D) 3 years  E) 2 years

Solution: 9261 = 8000(21/20)N   (21/20)3 = (21/20)N => N = 3   5. At the end of three years what will be the comp.Answer: O3 years
Answer: D
In how many ways can three boys and three girls sit in a row such that all girls sit together?  Choose the correct choice from the following answers
A) A)160	B) B)144	C) C)96	D) D)120	E) E)154

Solution: Treat all girls as one unit. Now there are four students and they can be arranged in 4! ways. Again three girls can be arranged among themselves in 3! ways.   Required number of arrangements   = 4! * 3! = 24 * 6= 
24 * 6 = 144
144.   Answer:144
Answer: B
A shopkeeper sells 20% of his stock at 10% loss ans sells the remaining at a profit of 10%. He incurred an overall profit of Rs. 1500. Find the total worth of the stock?	Choose the correct choice
A) 27500	B) 26000	C) 24000	D) 25000	E) 23500

Solution: Let the total worth of the stock be Rs. x.   The SP of 20% of the stock = 1/5 * x * 9/10 = 9x/50   The SP of 80% of the stock = 4/5 * x * 1.1 = 44x/50   Total SP = 9x/50 + 44x/50 = 53x/50   Overall profit = 53x/50 - x = 3x/50   3x/50 = 1500 => x = 25000   Answer:25000
Answer: D
Peter’s salary is reduced by 30% and then reduced salary is increased by 30%. Find ,how many percentage his present salary is less as compared to his previous salary?  Choose the correct choice from the following choices:
A) 6%  B) 7%  C) 8%  D) 9%  E) 10%

Solution: 30*30   -------- = 9%   100   Answer: 9%
Answer: D
Thomas went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choose the correct choice from the following options.
A) 19.7	B) 20	C) 20.1	D) 21.3	E) 23

Solution: Total cost of the items he purchased = Rs.25   Given that out of this Rs.25, 30 Paise is given as tax   => Total tax incurred = 30 Paise = Rs.30/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (25−30/100−x)6/100 = 30/100   ⇒ 6(25 −0.3 −x) = 30   ⇒ (25 − 0.3 − x) = 5   ⇒ x = 25 − 0.3 − 5 = 19.7   19.7)
Answer: A
How many odd three-digit integers greater than 500 are there such that all their digits are different?  Choose the correct choice from the following choices
A) 40  B) 56  C) 72  D) 81  E) 160

Solution: 4 (hundred's digit) * 9 (ten's digit) * 8 (unit's digit) = 288   Now take numbers in the range 500 - 900.   Total numbers where all digits are different = 288 (as before)   [highlight]Number of odd numbers = 4 * 8 * 5= 
4 * 8 * 5 = 160
160[/highlight] (now there are 5 possibilities for the unit's digit)   160
Answer: E
In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 1,029,000, how many red beads were removed?  Select:
A) 5
B) 4
C) 3
D) 2
E) 1

Solution: 1,029,000   = 2^3 * 5^3 * 1029   = 2^3 * 3 * 5^3 * 343   = 2^3 * 3 * 5^3 * 7^3   The answer is 3.
Answer: C
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 5:2. The first number is:	Choices:
A) A)3
B) B)98
C) C)34
D) D)35
E) E)62

Solution: (3x-9):(5x-9) = 5:2   x = 1 => 3x = 3   3nswer:3
Answer: A
A father purchased dress for his 3 daughters. The dresses are of same color but diff size and they are kept in dark room. what is probability that all the 3 will not choose there own dress?  Choose the correct choice.
A) 1/3
B) 2/3
C) 1/2
D) 3/4
E) 3/7

Solution: Explanation :   Let 1st girl come and she choose wrong dress so probability of that girl to choose wrong dress out of   3 is =2/3.   Now 2nd girl come nd she choose wrong dress so probability of that girl to choose wrong dress out of   2 is 1/2.   Now for 3rd girl probability is 1 to choose wrong dress.   So probability tht all the 3 wil not choose der own dress is = 2/3 * 1/2 * 1 = 1/3.   Hence (A) is the correct answer.   1/3nswer : 1/3
Answer: A
What is the sum of the odd integers from 55 to 75, inclusive?  Pick one
A) 495  B) 550  C) 555  D) 600  E) 715

Solution: The mean is 65.   Sum=Mean(# of elements)   There are 11 odd numbers between 55-75 inclusive. 11*65=715   715
Answer: E
A boat can travel with a speed of 22 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 81 km downstream  Choose the correct choice from the following answers
A) 5 hours	B) 4 hours	C) 3 hours	D) 2 hours	E) None of these

Solution: Explanation :   Speed of the boat in still water = 22 km/hr   speed of the stream = 5 km/hr   Speed downstream = (22+5)= 
(22+5) = 27
27 km/hr   Distance travelled downstream= 81 km   Time taken = distance/speed = 81/27= 
81/27 = 3
3 hours. Answer : Option 3 hours
Answer: C
The average number of shirts with Salman, Ambani and Dalmiya is 72, if all of them reached a shopping mall in Delhi and purchased 12 shirts each of them then average number of shirt each of them now has  Choose the correct option: A) 84 B) 87 C) 86 D) can't be determined E) None of these

Solution: 84nswer   Required average   = Old average + New average   = 72 + 12= 
72 + 12 = 84
84   Correct Option: 84
Answer: A
A committee is to be formed by randomly choosing 3 people from 8 candidates. If Alice and Bob are candidates, what is the probability that Alice will be selected but Bob will not? Choose the correct choice from the following options:  A) 3/7  B) 9/28  C) 11/28  D) 15/56  E) 17/56

Solution: The total number of ways to form a committee is 8C3=56.   The number of committees which include Alice but not Bob is 6C2=15.   The probability that Alice is selected but Bob is not selected is 15/56.   The answer is 15/56.
Answer: D
If x and y are two-digit integers such that x > 30 and y<70, which of the following is closest to the minimum value of xy?
Choose the correct choice from the following options.
A) 700 B) 460 C) 4,000 D) 310 E) 28,000

Solution: To get the minimum possible value of xy, we need minimize the value of both x and y   min x can be = 31 (given x is a two-digit integer > 30)   min y can be = 10 (given y is a two-digit integer < 70)   xy = 31*10= 
31*10 = 310
310   Answer (310)
Answer: D
There is enough provisions for 600 men in an army camp for 25 days. If there were 200 men less, how long will the provision last?	Answers.
A) 50days
B) 60days
C) 70days
D) 75days
E) 90days

Solution: Exp: We have, M1D1 = M2D2   600*25= 200* D2   D2 = 600*25/200= 
600*25/200 = 75
75 days.   Answer: 75days
Answer: D
The total marks obtained by a student in Mathematics and Physics is 30 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
Choose the correct choice from the following choices.
A) 40 B) 30 C) 25 D) Data inadequate E) None of these.

Solution: Let the marks obtained by the student in Mathematics, Physics and Chemistry be M, P and C respectively.   Given , M + C = 30 and C - P = 20 M + C / 2 = [(M + P) + (C - P)] / 2 = (30 + 20) / 2= 
(30 + 20) / 2 = 25
25.   ANSWER:25
Answer: C
42, 40, 35, 33, 28, 26, ?  Answers
A) 21  B) 23  C) 28  D) 25  E) 28

Solution: This is a simple alternating subtraction series, with a pattern -2, -5, -2, -5, -2 ....   21nswer : 21.
Answer: A
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
Choose the correct choice from the following
A) 1500	B) 2887	C) 2668	D) 2977	E) 1291

Solution: P = 15(100/10)2 => P = 1500.1500nswer: 1500
Answer: A
In a rectangular axis system, what is the area of a parallelogram with the coordinates: (5,3), (8,3), (4,5), (7,5) ?  Choose the correct option.
A) 21.
B) 28.
C) 35.
D) 49.
E) 6.

Solution: Delta x will give us the dimension of one side of the parallelogram = 8-5= 
8-5 = 3
3 unit   Delta y will give us the dimension of the other side of parallelogram= 5-3= 
5-3 = 2
2 unit   Area of parallelogram= 3*2= 
3*2 = 6
6   ANSW6.R IS 6.
Answer: E
Two numbers when divided by a divisor leave remainders of 198 and 322 respectively. The remainder obtained when the sum of the numbers is divided by the same divisor is 68. Find the divisor. Options:
A) 365
B) 398
C) 412
D) 435
E) 452

Solution: Let x be the divisor.   N1 = xa + 198   N2 = xb + 322   N1 + N2 = x(a+b) + 520 = xc + 68   x(c-a-b) = 452 but we know that x > 322, thus (c-a-b) must equal 1.   The answer is 452.
Answer: E
Susan weighs 12 pounds more than Anna does, and together they weigh a total of 162 pounds. Which of the following represents Anna’s weight in pounds?
Choose the correct choice:
A) 70 B) 75 C) 65 D) 68 E) 72

Solution: Total weight = 162   Anna's weight = 162-12 /2 = 75   Answer : 75
Answer: B
You collect balls. Suppose you start out with 106. Your sister gives you another 17 balls. How many balls do you have at the end? Choose the correct choice:  A) 106  B) 17  C) 321  D) 123  E) 132

Solution: Solution   Start with 106 balls.   Sister gives you 17 balls:   106 + 17= 
  106 + 17 = 123
123 balls.   So you have 123 at the end.   Correct answer: 123
Answer: D
A bag of potatoes weighs 50 lbs divided by half of its weight. How much does the bag of potatoes weigh?
Choose the correct choice from the following answers:
A) 10 lb
B) 20 lb
C) 30 lb
D) 40 lb
E) 50 lb

Solution: 10 lb   10 lb   50÷5 = 10.
Answer: A
Angelo and Isabella are both salespersons. In any given week, Angelo makes $550 in base salary plus 8 percent of the portion of his sales above $3,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?  Choose the correct option
A) 23,500
B) 15,500
C) 25,500
D) 26,500
E) 27,500

Solution: OFFICIAL SOLUTION:   The problem asks for the amount of weekly sales it takes for Angelo and Isabella to earn the same amount of money. You can write an equation that sets Angelo’s and Isabella’s weekly earnings equal to each other, with x representing weekly sales. Weekly earnings for each salesperson equal base salary plus commission. So Angelo’s earnings are 550 + (0.08)(x – 3,000), and Isabella’s are 0.10x. Set up the equation and solve:   550 + (0.08)(x – 3,000) = 0.10x   Distribute the 0.08:   550 + 0.08x – 240 = 0.10x   Combine terms and subtract 0.08x from both sides:   310 = 0.02x   Divide both sides by 0.02:   15,500 = x   Your answer is 15,500.
Answer: B
If (-4)^(6x) = 4^(30 + x) and x is an integer, what is the value of x ?	Choose the correct choice from the following choices.
A) 5
B) 4
C) 3
D) 2
E) 6

Solution: Since x is an integer, (-4)^(6x) is always positive.   So, 4^6x = 4^(30 + x)   6x = 30 + x   5x = 30   x = 6   Answer: 6
Answer: E
The sides AB,BC and CA of a triangle ABC having 3,4 and 5 interior points receptively on them. The total number of triangles that can be constructed by using these points as vertices is	Pick one: A) 220 B) 204 C) 205 D) 195 E) 190

Solution: (32051*42051*52051)+(32052*42051)+(32052*52051)+(42052*32051)+(42052*52051)+(52052*32051)+(52052*42051)   =60+12+15+18+30+30+40= 
60+12+15+18+30+30+40 = 205
205   ANSWER:205
Answer: C
Average age of students of an adult school is 48 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students of the school after joining of the new students.  Answers.
A) 1200  B) 160  C) 360  D) 240  E) None of these

Solution: Explanation :   Let the original no. of students be x.   According to situation, 48x + 120*32 = (x + 120)36 ⇒ x = 40   So, Required no. of students after joining the new students   = x + 120 = 160.   Answer : 160
Answer: B
There are 34 students in a certain geometry class. If two thirds of the students are boys and three fourths of the boys are under six feet tall, how many boys in the class are under six feet tall?  Choose the correct choice from the following choices.
A) 6
B) 12
C) 17
D) 24
E) 27

Solution: 34*2/3 *3/4= 
34*2/3 *3/4 = 17
17   Answer: 17
Answer: C
Mr. Karan borrowed a certain amount at 6% per annum simple interest for 9 years. After 9 years, he returned Rs. 8510/-. Find out the amount that he borrowed.
Choose the correct choice:
A) s. 5266
B) s. 5269
C) s. 5228
D) s. 5218
E) s. 5526

Solution: Explanation:   Let us assume Mr. Karan borrowed amount is Rs. A. (the principal)   By formula of simple interest, S.I. = PRT / 100   Where P = The principal, R = Rate of interest as a %, T = Time in years   S.I. = (P * 6 * 9)/100 = 54 P/100   Amount = Principal + S.I.   8510 = P + (54P/100)   8510 = (100P + 54P)/100   8510 = 154P/100   P = (8510 * 100)/154 = Rs. 5525.974   ANSWs. 5526R: s. 5526
Answer: E
The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages.
Choose the correct choice from the following answers.
A) 8, 20, 28  B) 16, 28, 36  C) 20, 35, 45  D) 20, 35, 55  E) None of these

Solution: Let their present ages be 4x, 7x and 9x years respectively.   Then, (4x - 8) + (7x - 8) + (9x - 8) = 56   20x = 80 => x = 4   Their present ages are 16, 28 and 36 years respectively.   ANSWER:16, 28, 36
Answer: B
3 houses are available in a new flat. 3 persons apply for the houses. Each applies for 1 house without consulting others.The probability that all the 3apply for the same house is?  Choose the correct choice from the following answers: A) 1/7 B) 1/9 C) 2/7 D) 3/7 E) 2/9

Solution: One person can select one house out of 3= \inline {\color{Black}3C_{1}} ways =3.   Hence, three persons can select one house out of 3 in 3 x 3 x 3 =9.   Therefore, probability that all thre apply for the same house is 1/9   1/9
Answer: B
The angles of a triangle are in the ratio 1 : 3 : 8. Find the measurement of the 3angles of triangle.  Choose the correct choice from the following:
A) 100°  B) 110°  C) 120°  D) 180°  E) 190°

Solution: If the ratio of the three angles is 1:3:8, then the measures of these angles can be written as x, 3x and 8x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence   x + 3x + 8x = 180   Solve for x   12x = 180   x = 15   The measures of the three angles are   x = 15°   3x = 3 × 15 = 45°   8x = 8 × 15 = 120°   120°
Answer: C
Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $194 million, which represented 8 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars?  Pick.
A) 17,010 B) 2,100 C) 2425 D) 2564 E) 2103

Solution: 8% ---- 194 millions   for 100% => ( 194 * 100% )/8% = 2425.   Option 2425( 194 * 100  )/8= 
( 194 * 100  )/8 = 2_425
2425.   Option 2425
Answer: C
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 100,000 and at the same time n is a perfect square and a perfect cube?
Choose one.
A) 3  B) 4  C) 5  D) 6  E) 7

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, 6^=46,656.   The answer is 6.
Answer: D
if x:y = 1:7, then find the value of
(7x+3y):(2x+y)  Choose one:	A) 14:5	B) 15:5	C) 28:9	D) 17:5	E) None of these

Solution: Explanation:   let x = 1k and y = 7k, so   =7(k)+3(7k)/ 2(k)+1(7k)   =28k/9k   =28:9   Option 28:9
Answer: C
Pipes A and B can fill a tank in 2 and 3 hours. Pipe C can empty it in 6 hours. If all pipes are opened together, then the tank will be filled in?	Select the correct option:
A) 3/2hr  B) 1/2hr  C) 1hr  D) 9/7hr  E) 5/3hr

Solution: Net part filled in 1 hour = 1/2 + 1/3 - 1/6 = 2/3   The tank will be full in 3/2 hr   Answer is 1/2hr
Answer: B
The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue Q, in dollars, from the sale of cars priced at $ 15,000?  Choose the correct choice from the following answers
A) 50,000 B) 750,000 C) 850,000 D) 7,500,000 E) Q=750,000,000

Solution: number of cars sold = x=800000-50y   y=15000   x=800000-750000= 
800000-750000 = 50_000
50000   revenue from 50000 cars=15000*50000= 
15000*50000 = 750_000_000
750000000 Q=750,000,000
Answer: E
A box contains 4 red, 3 white and 2 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours  Choose the correct choice from the following
A) 12 B) 24 C) 48 D) 168 E) 180

Solution: Explanation:   This question seems to be a bit typical, isn't, but it is simplest.   1 red ball can be selected in 4C1 ways   1 white ball can be selected in 3C1 ways   1 blue ball can be selected in 2C1 ways   Total number of ways   = 4C1 x 3C1 x 2C1   = 4 x 3 x 2   = 24   Please note that we have multiplied the combination results, we use to add when their is OR condition, and we use to multiply when there is AND condition, In this question it is AND as   1 red AND 1 White AND 1 Blue, so we multiplied.   Option 24
Answer: B
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?  Choices
A) 23 B) 18 C) 20 D) 19 E) 21

Solution: Answer: Option 18   a:b = 2:3   b:c = 2:5   a:b:c = 4:6:15   6/25 * 75= 
6/25 * 75 = 18
18
Answer: B
The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed and upstream?  Choose the correct option:
A) 30 kmph
B) 40 kmph
C) 78 kmph
D) 15 kmph
E) 23 kmph

Solution: Speed downstream = 50 + 20= 
50 + 20 = 70
70 kmph   Speed upstream= 50 - 20= 
50 - 20 = 30
30 kmph   30 kmphnswer:30 kmph
Answer: A
The total of the ages of Amar, Akbar and Anthony is 36 years. What was the total of their ages five years ago ?  Answers
A) 21	B) 44	C) 66	D) 16	E) 18

Solution: Explanation:   Required sum = (36 - 3 x 5) years = (36 - 15)= 
(36 - 15) = 21
21 years.   21nswer: 21
Answer: A
40% of all students in a class commute by public transportation. If 25% of the students aspire to be scientists, which of the following can be the percentage of students who do not commute by public transportation and do not aspire to be scientists?
I.	7%
II.	20%
III.	45%  Choose one:
A) I ONLY	B) II ONLY	C) III ONLY	D) I AND II	E) I AND III

Solution: 40% Students use public transportation. This means 60% students do not use public transportation. 25% students aspire to be scientists means even if all these students use public transportation, minimum 60% - 25% = 35% students do not use public transportation and do not aspire to be scientists.This means correct answer is between 35% and 60%   Answer :III ONLY.60  - 25= 
60  - 25 = 35
35% students do not use public transportation and do not aspire to be scientists.This means correct answer is between 35% and 60%   Answer :III ONLY.
Answer: C
80% of the students of a village is 1600. The total students of the school is?
Choose the most appropriate option
A) 2000	B) 2500	C) 3000	D) 1800	E) 2200

Solution: X * (80/100) = 1600   X = 20 * 100= 
20 * 100 = 2_000
2000   2000nswer: 2000
Answer: A
When you draw 2 dices together, find the probability of getting numbers in pairs?  Choose the correct choice from the following answers:
A) 1/5	B) 1/6	C) 1/7	D) 1/11	E) 1/12

Solution: S = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}   N (S) = 36   Set of pairs, 1/6 = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}; N (1/6) = 6   P (getting numbers in pairs) = N(1/6)N(S)N(1/6)N(S) = 636636 = 1/6   1/6
Answer: B
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) 1154  B) 166  C) 256  D) 750  E) 271

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