MU-NLPC/Calc-aqua_rat huggingface dataset:
Jean drew a gumball at random from a jar of pink and blue gumballs. Since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. The second gumball also happened to be blue and she replaced it as well. If the probability of her drawing the two blue gumballs was 16/49 what is the probability that the next one she draws will be pink?	Choose the most appropriate option
A) 1/49  B) 4/7  C) 3/7  D) 16/49  E) 40/49

Solution: The probability of drawing a pink gumball both times is the same. The probability that she drew two blue gumballs = 16/49 = (4/7) * (4/7)   Therefore probability that the next one she draws is pink = 3/7   Option (3/7)
Answer: C
The bus that travels from St. Louis to Chicago and back comes to St. Louis every 5 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 4 hours. If at 2:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again?  Options:
A) 16:00.
B) 18:00.
C) 20:00.
D) 22:00.
E) 24:00.

Solution: Time taken by bus to travel from St. Louis to Chicago and back comes to St. Louis = 5 hours   Time taken by bus to travel from St. Louis to Springfield and back comes to St. Louis = 4 hours   Time taken by both buses to meet again in St. Louis will be LCM of 5 and 4 = 20   If the buses start at 2:00 o'clock from St. Louis , they will meet again in St. Louis at 22:00 hours   Answer 22:00.
Answer: D
If x/y =4/3, then (x-y)/x?	Choose the most appropriate option.
A) -1/2	B) -1/4	C) 1/3	D) 1/2	E) 1/4

Solution: we have this law of fraction:   a/b=c/d= (a-c)/(b-d)   x/y=4/3 ---> x/4=y/3= (x-y)/(4-3)=(x-y)/(1) ---> (x-y)/x= 1/4   Answer: 1/4
Answer: E
In how many ways can a five-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password? Answers
A) 420 B) 576 C) 900 D) 936 E) 1,296

Solution: Total number of four letter passwords = 6*6*6*6= 
6*6*6*6 = 1_296
1296 ------(1)   Total number of passwords in which no letter repeats= 6C5*5!= 6*120= 
6*120 = 720
720------(2)   therefore required value= (1)-(2)= 1296-720= 
1296-720 = 576
576   576
Answer: B
A bank offers 5% C.I. calculated on half-yearly basis . A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is?	Choose the correct option:  A) 299  B) 121  C) 298  D) 390  E) 387

Solution: Amount = [1600 * (1 + 5/(2 * 100)2 + 1600 * (1 + 5/(2 * 100)]   = [1600 * 41/40(41/40 + 1)   = [(1600 * 41 * 81)/(40 * 40)] = Rs. 3321.   C.I. = 3321 - 3200 = Rs. 121.   Answer:121
Answer: B
A certain essay consists of 13 paragraphs. Each paragraph contains at least 120 words but not more than 125 words. Which of the following could be the total number of words in the essay?  Choose the correct choice from the following answers.
A) 1440 B) 1540 C) 1610 D) 1740 E) 1840

Solution: lets consider minimum no of words ... 13 * 120 = 1560   Lets consider maximum no of words .... 13*125= 1625   answer should be one of these two values or should lie between these two values ...   only 1 option 1610 - 1610
Answer: C
The pages of a report are numbered consecutively from 1 to 8. If the sum of the page numbers up to and including page number x of the report is equal to six less than the sum of the page numbers following page number x, then x = Choose the correct choice from the following.
A) 5  B) 6  C) 4  D) 3  E) 2

Solution: sum of the first few numbers =1+2+3+4 +5 +6= 
1+2+3+4 +5 +6 = 21
21   sum of the last few= 7 +8= 
7 +8 = 15
15 page no.6 answer .6
Answer: B
If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following?	Options.
A) 2
B) 4
C) 5
D) 8
E) 7

Solution: (n+1)(n+3)(n+1)(n+3) is odd only when both (n+1)(n+1) and (n+3)(n+3) are odd. This is possible only when nn is even.   Hence, n=2mn=2m, where mm is a positive integer. Then,   (n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)   =4 * (product of two consecutive positive integers, one which must be even)=4 * (product of two consecutive positive integers, one which must be even) =4 * (an even number), and this equals a number that is at least a multiple of 8=4 * (an even number), and this equals a number that is at least a multiple of 8   Hence, the answer is (8).
Answer: D
A watch which gains uniformly is 2 minutes low at noon on Tuesday and is 4 min 48 sec fast at 2 p.m. on the following Tuesday. When was it correct ?  Choose the correct choice from the following:
A) 3 p.m. on Thursday.
B) 2 p.m. on Thursday.
C) 4 p.m. on Thursday.
D) 2.10 p.m. on Thursday.
E) 2.40 p.m. on Thursday.

Solution: Time from 12 p.m. on Tuesday to 2 p.m. on the following Tuesday = 7 days 2 hours.   = 170 hours.   The watch gains = (2 + 4 x 4/5) min   = 34/5 min. in 170 hrs.   Now, 34/5 min are gained in 170 hrs.   Then, 2 min are gained in (170 x 5/34 x 2) hrs.   Watch is correct after 2 days 2 hrs after 12 p.m. on Tuesday, i.e., it will be correct at 2 p.m. on Thursday.   Answer 2 p.m. on Thursday.
Answer: B
There are 2 sections A and B in a class, consisting of 36 and 24 students respectively. If the average weight of section A is 30kg and that of section B is 30kg, Find the average of the whole class?	Choose the correct choice from the following choices:
A) 30kg
B) 37kg
C) 42kg
D) 55.12kg
E) 29.78kg

Solution: Total weight of 36+44 students = 36*30 + 24*30= 
36*30 + 24*30 = 1_800
1800   30kgverage weight of the class is= 1800/60= 
1800/60 = 30
30 kg   30kgnswer is 30kg
Answer: A
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:  Choose the correct choice from the following:
A) 750 m  B) 300 m  C) 350 m  D) 150 m  E) 250 m

Solution: Let the length of the train be x metres and its speed by y m/sec.   Then, x/y = 15 => y =x/15   Therefore	x + 100/25 =	x/15   => 15(x + 100) = 25x   => 15x + 1500 = 25x   => 1500 = 10x   => x = 150 m.   Answer: 150 m
Answer: D
What is the difference between the place values of two 2's in the numeral 58232	Select:
A) 202	B) 200	C) 198	D) 120	E) 220

Solution: Required difference = 200-2= 
200-2 = 198
198   Answer is 198
Answer: C
Excluding the stoppages, the speed of a bus is 48 km/hr and including the stoppages the speed of the bus is 24 km/hr. For how many minutes does the bus stop per hour?
Select the correct option:
A) 30min
B) 10 min
C) 12 min
D) 20 min
E) 18 min

Solution: Speed of the bus without stoppage=48 km/hr   Speed of the bus with stoppage=24 km/hr   Difference in speed=24 km/hr   so,the time taken in the stoppages = time taken to cover 24 km=(24/48)hr = 1/2 hr =30 min   30minNSWER:30min
Answer: A
Find large number from below question The difference of two numbers is 1385. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder Choose the correct choice:
A) 1234  B) 1265  C) 1350  D) 1467  E) 1659

Solution: Let the smaller number be x. Then larger number = (x + 1385).   x + 1385 = 6x + 15   5x = 1370   x = 274   Large number = 274+1385= 
274+1385 = 1_659
1659   1659
Answer: E
A PERSON WENT TO A SHOP AND ASKED FOR CHANGE FOR 1.15 PAISE. BUT HE SAID THAT HE COULD NOT ONLY GIVE CHANGE FOR ONE RUPEE. BUT ALSO FOR 50P, 25P, 10P AND 5P. WHAT WERE THE COINS HE HAD	Choose the correct choice:
A) 1.15 B) 1.25 C) 1.35 D) 1.45 E) 1.85

Solution: 50p-1, 25p-2, 10p-1, 5p-1   thus total= 1.15   1.15NSWER:1.15
Answer: A
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?	Choose the most appropriate option
A) 50
B) 45
C) 48
D) 55
E) 51

Solution: Let the length of each train be x m.   Then, distance covered = 2x m.   Relative speed = 46 - 36= 
46 - 36 = 10
10 km/hr.= 10 * 5/18 = 25/9 m/sec.   2x/36 = 25/9 => x = 50.   50nswer: Option 50
Answer: A
A cube has a volume of 216 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?  Choose the correct choice from the following answers:
A) 24
B) 1728
C) 64
D) 80
E) 100

Solution: Volume = 216 = side^3   i.e. Side of Cube = 6   New Cube has dimensions 12, 12, and 12 as all sides are twice of teh side of first cube   Volume = 12*12*12= 
12*12*12 = 1_728
1728 square feet   Answer: option 1728
Answer: B
The year next to 1991 having the same calendar as that of 1990 is –	Choose the correct choice from the following choices
A) 1998  B) 2001  C) 2002  D) 2003  E) None of these

Solution: We go on counting the odd days from 1991 onward still the sum is divisible by 7. The number of such days are 14 upto the year 2001. So, the calender for 1991 will be repeated in the year 2002.   Answer 2002
Answer: C
What is the probability of rolling a total of 6 with a single roll of two fair six-sided dice, each with the distinct numbers 1 through 6 on each side?  Choose the correct choice.
A) 1/12 B) 5/36 C) 2/7 D) 1/3 E) 1/2

Solution: Totalsample spacefrom two fair six-sided dice is 36.   There are six possible ways to be 6 i.e. (1+5), (2+4), (3+3), (4+2), (5+1)   So, total probability is 5/36.   Answer is 5/36.
Answer: B
The population of a town is 8000. It decreases annually at the rate of 30% p.a. What will be its population after 2 years?  Select the correct option.
A) 3920
B) 5120
C) 5200
D) 5400
E) 5500

Solution: Formula :   ( 3920fter =100 denominator   3920go = 100 numerator)   8000 Ã— 70/100 Ã— 70/100 = 3920   3920nswer : 3920
Answer: A
How many even number in the range between 10 to 100 inclusive are not divisible by 3  Choose the correct choice from the following options
A) 15
B) 30
C) 31
D) 33
E) 46

Solution: We have to find the number of terms that are divisible by 2 but not by 6( as the question asks for the even numbers only which are not divisible by 3)   For 2,   10,12,14...100   using AP formula, we can say 100 = 10 + (n-1) *2   or n=46.   For 6,   12,18,...96   using AP formula, we can say 96 = 12 + (n-1) *6   or n=15.   Hence, only divisible by 2 but not 3 = 46-15= 
46-15 = 31
31. hence, Answer 31
Answer: C
What is the total number of D integers between 100 and 200 that are divisible by 3? Choose the correct choice from the following options:
A) 33
B) 32
C) 31
D) 30
E) 29

Solution: yes there is a different way of arriving at that answer ....   u can also use airthmetic progression to get the answer   since the first term to be divisble by 3 is 102 ..take that as A .. the starting no   and since 198 is the last digit to be divisible by 3 take that as N ...   since the difference is 3 take that as D   no u have to find what term is 198 take that as nth term   the formula for that is N = 33 + (n-1) * d   198 = 102 +(n-1) * 3   from this u get n =33
Answer: A
In a class of 32 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only English and not German?
Options:
A) 30
B) 10
C) 18
D) 28
E) 32

Solution: Total=English+German-Both+Neither --> 40=English+22-12+0 --> English=22 --> Only English=English-Both=22-12= 
22-12 = 10
10.   Answer: 10.
Answer: B
If n is a positive integer, then n(n+1)(n+2) is +ve and  Pick one:
A) divisible by 4 whenever n is even  B) divisible by 3 only when n is odd  C) odd whenever n is odd  D) even only when n is odd  E) even only when n is even

Solution: n*(n+1)*(n+2)= +ve even integer divisible by 4 ( e.g 3,4,&5)   divisible by 4 whenever n is even
Answer: A
If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is  Choose the correct choice from the following options.
A) 19/52	B) 17/52	C) 5/13	D) 4/13	E) 9/26

Solution: P(SᴜK) = P(S) + P(K) - P(S∩K), where S denotes spade and K denotes king.   P(SᴜK) = 13/52 + 4/52 - 1/52 = 4/13   ANSWER:4/13
Answer: D
If Jan 1, 2006 was a Wednesday, What was the day of the week Jan 1, 2010?  Pick one:
A) Friday
B) Thursday
C) Tuesday
D) Saturday
E) Monday

Solution: Explanation :   Given that Jan 1 2006 was a Wednesday   Number of odd days in the period 2006-2009   = 3 normal years + 1 leap year   = 3 x 1 + 1 x 2 = 5 (note that we have taken the complete year 2006 because the period in 2006 is from 01-Jan-2006 to 31-Dec-2006, which is the whole year 2006. Then the complete years 2007, 2008 and 2009 are also involved)   Hence Jan 1 2010 = (Wednesday + 5 odd days) = Monday.. Answer : Option Monday
Answer: E
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is:	Choose the correct answer.
A) 5322 B) 5330 C) 5336 D) 5340 E) 5342

Solution: Divisor = (5 * 46)= 
(5 * 46) = 230
230= 10 * Quotient = Divisor   => Quotient = 230/10= 
230/10 = 23
23   Dividend= (Divisor * Quotient) + Remainder   Dividend = (230 * 23) + 46= 
(230 * 23) + 46 = 5_336
5336.   5336
Answer: C
A rectangular lawn of length 200m by 120m has two roads running along its center, one along the length and the other along the width. If the width of the roads is 5m what is the area R covered by the two roads?	Pick one:
A) 400
B) 1550
C) 1575
D) 1600
E) 1625

Solution: Area 1575overed by Road Along the Length = 5*200= 
5*200 = 1_000
1000 Square Meter   Area 1575overed by Road Along the Width= 5*120= 
5*120 = 600
600 Square Meter   1575ommon Area in both Roads (where the roads intersect)= Square with Side 5 meter = 5*5= 
5*5 = 25
25   Total Area of the Roads R= 1000+600-25= 
1000+600-25 = 1_575
1575   Answer: option 1575
Answer: C
A person walks a distance of 18 kms at a particular speed. For the next 30 kms he increases his speed by 2 kmph. Had he walked the entire distance at 3 kmph more than his initial speed, he would have reached 4 hours earlier. Find his initial speed.	Pick
A) 3 kms/hr
B) 2 kms/hr
C) 4 kms/hr
D) 5 kms/hr
E) None of these

Solution: let x be the initial speed , then   18/x+30/x+2=12 , we get 12 from 3*4= 
3*4 = 12
12   by solving we get x=1,-3   ANSWNone of theseR:None of these
Answer: E
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?	Options:
A) 99
B) 289
C) 350
D) 882
E) 281

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 39 = 50/3   3(x + 300) = 1950 è x = 350m.   Answer: 350
Answer: C
There are 180 doctors and nurses at a hospital. If the ratio of doctors to nurses is 2 to 3, how many nurses are at the hospital? Choose the correct choice from the following answers:
A) 100
B) 104
C) 108
D) 112
E) 116

Solution: The number of nurses at the hospital is (3/5)*180= 
(3/5)*180 = 108
108.   The answer is 108.
Answer: C
A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips? Choose the correct choice from the following choices
A) 48 km/hr
B) 40 km/hr
C) 44 km/hr
D) 38 km/hr
E) 52 km/hr

Solution: A   48 km/hr   Speed on return trip = 150% of 40 = 60 km/hr.   48 km/hrverage speed = (2 * 40 * 60)/(40 + 60)= 
(2 * 40 * 60)/(40 + 60) = 48
48 km/hr.
Answer: A
A leak in the bottom of a tank can empty the full tank in 8 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold?	Choose the correct choice from the following answers.
A) 7580 B) 7960 C) 8290 D) 8640 E) None

Solution: Solution   Work done by the inlet in 1 hour	= (1/8 - 1/12)   = 1/24.   Work done by the inlet in 1 min.	= (1/24 × 1/60)   = 1/1440.   Volume of 1/1440 part = 6 litres.   Therefore, Volume of whole	= (1440×6)   ‹=› 8640 litres.   Answer 8640
Answer: D
A company wants to spend equal amounts of money for the purchase of two types of computer printers costing $300 and $200 per unit, respectively. What is the fewest number of computer printers that the company can purchase? Choose the correct option:
A) 3  B) 5  C) 7  D) 9  E) 11

Solution: The smallest amount that the company can spend is the LCM of 300 and 200, which is 600 for each, which is total 1200.   The number of 1st type of computers which costing $300 = 600/300= 
600/300 = 2
2.   The number of 2nd type of computers which costing $200= 600/200= 
600/200 = 3
3.   Total= 2+3= 
2+3 = 5
5   Answer is 5.
Answer: B
Ravi can do a piece of work in 28 days while Prakash can do it in 40 days. In how many days will they finish it together?
Choose the most appropriate option: A) 16 1/17 days B) 17 1/8 days C) 16 8/17 days D) 17 7/17 days E) 18 1/17 days

Solution: 1/28 + 1/40 = 17/280   280/17= 16 8/17 days   Answer: 16 8/17 days
Answer: C
The cost price of a Rs.100 stock at 4 discount, when brokerage is % is :
Pick:
A) 96.2	B) 96.2	C) 96.25	D) 76.2	E) 96.19

Solution: Explanation:   CP. = = Rs.96.25   Answer: 96.25) Rs.96.25
Answer: C
In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg? Choose the correct choice from the following answers:	A) 4:7	B) 3:7	C) 4:3	D) 7:3	E) 2:3

Solution: Cost of 1 kg pulses of 1st kind=Rs. 15   Cost of 1 kg pulses of 2nd kind=Rs. 20   Mean Price=Rs. 16.50   Cost of 1 kg pulses of 1st kind - Mean Price=15-16.50=Rs 1.50   Cost of 1 kg pulses of 2nd kind - Mean Price=20-16.50= 
20-16.50 = 3.5
Rs 3.50   Required rate= 3.50 : 1.50 = 7 : 3.   Answer:7:3
Answer: D
What sum of money will produce Rs.900 as simple interest in 4 years at 9/2 percent?
Choose the correct choice from the following answers
A) 80000
B) 100000
C) 90000
D) 85000
E) 70000

Solution: 900 = (P*4*9/2)/100   P = 8000   80000nswer: 80000
Answer: A
The average age of 2 boys is 25 years and their ages are in the proportion 3:5:7. The age of the youngest boy is?  Choose the correct choice from the following answers.
A) 10years  B) 15years  C) 20years  D) 25years  E) 18years

Solution: Total age of 2 boys = 25*2= 
25*2 = 50
50   ratio of their ages= 3:5:7   10yearsge of the youngest = 50*3/15= 
50*3/15 = 10
10 years   10yearsnswer is 10years
Answer: A
What is the decimal equivalent of (1/4)^4?  Choose one.
A) 0.0039	B) 0.0625	C) 0.16	D) 0.25	E) 0.5

Solution: (1/4)^4 = 1/256 = 0.0039   0.0039nswer : 0.0039
Answer: A
In ΔPQS above, if PQ =7 and PS = 8, then  Choose the correct option
A) 9/4  B) 12/5  C) 56/9  D) 15/4  E) 20/3

Solution: there are two ways to calculate area of PQS. area remains same, so both are equal.   7*8/2 = PR*9/2   PR = 56/9   56/9
Answer: C
If 11 lions can kill 11 deers in 11 minutes how long will it take 100 lions to kill 100 deers?  Select the correct option:
A) 1 minutes
B) 11 minute
C) 100 minutes
D) 10000 minutes
E) 1000 minutes

Solution: we can try the logic of time and work,our work is to kill the deers so 11(lions)*11(min)/11(deers)=100(lions)*x(min)/100(deers)hence answer is x=11   ANSWER:11 minute
Answer: B
Helen went to the stationers and bought things worth Euro 35, 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?	Options.
A) Euro 15	B) Euro 15.7	C) Euro 19.7	D) Euro 29.7	E) None

Solution: Explanation: Let the amount taxable purchases be Euro x.   Then, 6% of x = 30/100   x = (30/100 x 100/6) = 5.   Cost of tax free items = Euro [35 - (5 + 0.30)= 
35 - (5 + 0.30) = 29.7
Euro 29.70   Answer: Option Euro 29.7
Answer: D
If Josh, Doug, and Brad have a total of $72 between them, and Josh has three times as much money as Brad but only three-fourths as much as Doug, how much money does Doug have?
Choose the correct choice:
A) $8
B) $9
C) $27
D) $32
E) $36

Solution: josh+Doug+Brad = 72 ; Josh = 3 brad, Josh =3/4 doug   Josh+1/3 Josh+ 4/3 Josh = 72 (substituted the given values)   Josh = 27. 27= 3/4 doug => doug =36   ANSW$36R:$36
Answer: E
A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
Options:
A) 100 m  B) 150 m  C) 500 m  D) 200 m  E) 175 m

Solution: Relative speed of the thief and policeman = 11 - 10= 
11 - 10 = 1
1 km/hr.   Distance covered in 6 minutes= 1/60 * 6 = 1/10 km = 100 m.   Distance between the thief and policeman = 200 - 100= 
200 - 100 = 100
100 m.   100 mNSWER 100 m
Answer: A
A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability G that the sum of the three numbers on the balls selected from the box will be odd? Choose the correct choice from the following options:  A) 1/4  B) 3/8  C) 1/2  D) 5/8  E) 3/4

Solution: The sum of the three numbers on the balls selected from the box to be odd one should select either three odd numbered balls (Odd+Odd+Odd=Odd) or two even numbered balls and one odd numbered ball (Even+Even+Odd=Odd);   P(OOO)=(1/2)^3;   P(EEO)=3*(1/2)^2*1/2=3/8 (you should multiply by 3 as the scenario of two even numbered balls and one odd numbered ball can occur in 3 different ways: EEO, EOE, or OEE);   So finally G=1/8+3/8=1/2.   Answer: 1/2.
Answer: C
In a rectangular box measuring 12 inches by 14 inches by 16 inches if small rectangular boxes measuring 3 inches by 7 inches by 2 inches are arranged in it, what is the max number of boxes that fit into it?  Choose one.
A) 23 B) 32 C) 44 D) 15 E) 64

Solution: The 3 inch side should be aligned to the 12 inch side ( 4 layer)   7 inch side should be aligned to the 14 inch side. (2 layer)   and 2 inch side should be aligned to the 16 inch side.(8 layer)   Maximum number of rectangles =4*2*8= 
4*2*8 = 64
64   Answer is 64
Answer: E
A coin is tossed 1 time. Find out the number of possible outcomes.
Choose the correct answer:
A) 1  B) 2  C) 4  D) 8  E) None of these

Solution: When a coin is tossed once, there are two possible outcomes: Head(H) and Tale(T)   Hence, when a coin is tossed 1 time, the number of possible outcomes   =2   Answer : 2
Answer: B
Dhoni weighs twice as much as Nameetha. Nameetha's weight is 70% of Bahar's weight. Dolly weighs 40% of Laila's weight. Laila weighs 20% of Dhoni's weight. Who among these 5 persons weighs the least?	Select:
A) Dhoni  B) Nameetha  C) Dolly  D) Bahar  E) Laila

Solution: if   Bahar weight = x   we get   Nameetha's weight = 0.7x   Dhoni's weight = 1.4x   Laila's weight = 0.28x   and Dolly's weight = 0.112x   Answer : Dolly
Answer: C
there is four light.all light glow in blue,white,yellow and red.
all glow together and take different color.every time each light change its color in given four of the color.but at same time no two light have same color then tell how many design will form? Choose the correct choice from the following answers.
A) 20  B) 24  C) 18  D) 16  E) 22

Solution: it is so simple,it is just permutation of 4 item.   4P4=4!=24   answer 24
Answer: B
If x and y are two-single digit integers such that x < 40 and y<7, which of the following is closest to the maximum possible value of xy ?	Choose the correct choice from the following options:
A) 700
B) 2,800
C) 4,000
D) 7,000
E) 63

Solution: To get the maximum possible value of xy, we need maximize the value of both x and y   max x can be = 9 (given x is a two-digit integer < 40)   max y can be = 7 (given y is a two-digit integer < 7)   xy = 9*7= 
9*7 = 63
63   Answer (63)
Answer: E
The number of students in the three sections of a class are in the ratio 2:3:4. The average marks scored in each of these sections is in the ratio 4:3:1. By what percent is the average mark of the second section more than the class average?
Choose the correct choice from the following choices:
A) 23.27%  B) 28.57%  C) 32.38%  D) 36.74%  E) 37.65%

Solution: Exp. Let the number of students be 2x, 3x, 4x.   Let the average marks be 4y,3y,y.   Average mark of class = ( 8xy+9xy+4xy)/(2x+3x+4x) =21xy/9x=7y/3   Percentage difference = ( 3y - 7y/3)/7y/3 *100 = 28.57%   Answer:28.57%
Answer: B