MU-NLPC/Calc-aqua_rat huggingface dataset:
E is the sister of F and G. H is F's daughter. I is F's son. Which of the following statements is definitely false?  Choose the correct choice from the following choices:	A) E is F's sister	B) G is E's uncle	C) F is G's brother	D) G is I's uncle	E) I is G's nephew

Solution: Explanation:   E,F and G are children of same parents. So. G cannot be E's uncle.   Answer: G is E's uncle
Answer: B
Three partner’s A,B,C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs.16500 at the end of the year, B’s share is: Choose the correct answer.
A) Rs.4000	B) Rs.6000	C) Rs 7500	D) Rs 7500	E) Rs.6600

Solution: Let C = x. Then B = 4x and 2A = 3 * 4= 
3 * 4 = 12
12x. or A= 6x.   Therefore, A : B : C = 6x : 4x : x = 6 : 4 : 1.   Therefore, B’s capital = Rs. 16500 * 4/11   = Rs.6000.   ANSWER:Rs.6000
Answer: B
If 3<x<6<y<7, then what is the greatest possible positive integer difference of x and y?	Choose the correct choice:
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: 3 < x < 6 < y < 7;   3 < x   y < 7   3 + y < x + 7   y - x < 4.   Positive integer difference is 3(for example y = 6.5 and x = 3.5)   3nswer:3.
Answer: A
N, which is a set of natural numbers is partitioned into subsets S1 = {1}, S2 = {2,3}, S3 = {4,5,6}, S4 = {7,8,9,10} and so on. The sum of the elements of the subset S50 is Choose the correct choice from the following
A) (a) 61250
B) (b) 65525
C) (c) 42455
D) (d) 62525
E) (e) 55425

Solution: The question is based heavily on pattern-matching skills, and is far more 'layered' than what you would likely see on the Official GMAT on this subject. You'll likely find it easiest to define the patterns one-at-a-time, so that you can see how they impact the question.   To start, we're given information on the sub-sets of numbers:   -The 1st set has 1 number   -The 2nd set has 2 numbers   -The 3rd set has 3 numbers   Etc.   So the 50th set will have 50 numbers in it.   Since the numbers in the subsets are consecutive, we can figure out ALL of the numbers that show up BEFORE we get to the 50th set by usingbunching...   The 1st set has 1 number and the 49th set has 49 numbers....1 + 49 = 50 numbers   The 2nd set has 2 numbers and the 48th set has 48 numbers...2 + 48 = 50 numbers   Etc.   This pattern will continue all the way down to...   The 24th set has 24 numbers and the 26th set has 26 numbers...24 + 26 = 50 numbers   Thus, we have 24 'pairs' of 50 numbers and one set (the 25th set with 25 numbers) that doesn't have a 'pair-match'...   So 24(50) + 25 = 1225 consecutive numbers exist in the 49 sets BEFORE the 50th set - that's the numbers 1 to 1225, inclusive...   Thus, the 50th set starts with 1226 and ends with 1275. We can use 'bunching' again to figure out the sum of this group (although there's no 'middle term' this time)...   25(1226+1275) =   25(2501) =   62525   (d) 62525
Answer: D
19! is equal to which of the following?
Choose the correct choice from the following:
A) 121,645,100,408,832,916
B) 121,645,100,408,832,225
C) 121,645,100,408,832,424
D) 121,645,100,408,832,378
E) 121,645,100,408,832,000

Solution: After 4!, the units digit of every factorial is 0.   5!=120   6!=720   etc...   The answer is 121,645,100,408,832,000.
Answer: E
A train overtakes 2 girls who are walking inthe opposite direction in which the train is going at the rate of 3 km/hour & 6km/hour and passes them completely in 36sec & 30 sec respectively. Find the length of the train is?	Pick
A) 90 m
B) 100 m
C) 150 m
D) 180 m
E) 190 m

Solution: Let the length of the train e x meter, and let the speed of train be y km/h, then   \inline x=\left ( y+3 \right )\frac{5}{18}\times 36 ........(1)   and \inline x=\left ( y+6\right )\frac{5}{18}\times 30 ........(2)   From eq (1) and (2), we get   \inline (y+3)\times 36 = ( y+6)\times 30   y = 12 km/h   \inline \therefore \inline x=(y+3)\times \frac{5}{18}\times 36   x= 150 m   150 m
Answer: C
Ram and Shakil run a race of 2000m. First Ram gives Shakil a start of 200m and beats him by 1 minute.Next Ram gives shakil a start of 6 min and is beaten by 1000 meters . Find the time in minutes in which Ram and Shakil can run the race seperately.
Choose the correct choice from the following.
A) 12,18	B) 10,18	C) 10,12	D) 8,10	E) 8,9

Solution: let speed of ram and shakil be x and y resp.   case1: ram gives a start of 200m and beats shakil by 1 minute.   2000/x - 1800/y= -60   2000/x= 1800/y -60---------------------(1)   case2: ram gives shakil a start of 6 min and is beaten by 1000 meters   distance travelled by shakil in 6 minutes= (6*60*y) meters = 360y meters   1000/x = (2000- 360y)/y------------------(2)   solve for x, y..   answer is x=8minutes, y= 10minutes   ANSWER:8,10
Answer: D
A company plans to award prizes to its top 3 salespeople, with the largest prize going to the top salesperson, the next-largest prize to the next salesperson, and a smaller prize to the third-ranking salesperson. If the company has 6 salespeople on staff, how many different arrangements of winners are possible? Options
A) 120  B) 1,440  C) 1,320  D) 220  E) 6

Solution: [quote=Bunuel]A company plans to award prizes to its top 3 salespeople, with the largest prize going to the top salesperson, the next-largest prize to the next salesperson, and a smaller prize to the third-ranking salesperson. If the company has 6 salespeople on staff, how many different arrangements of winners are possible?   6*5*4= 
6*5*4 = 120
120   120nswer : 120
Answer: A
If you roll one fair six-sided die, what is the probability that the number is even or greater than 3?	Choose one:	A) 1/2	B) 1/3	C) 2/3	D) 3/4	E) 5/6

Solution: The numbers which satisfy the conditions are 2, 4, 5, and 6.   The probability is 4/6=2/3   The answer is 2/3.
Answer: C
There are 30 doors marked with numbers 1 to 30. There are 30 individuals marked 1 to 30.
An operation on a door is defined as changing the status of the door from open to closed or vice versa. All the doors are closed to start with. One at a time, one randomly chosen individual goes and operates the doors. The individual however operates only those doors which are a multiple of the number he/she is carrying. For example, the individual marked with number 5 operates the doors marked with 5, 10, 15, 20, 25, and 30. If every individual in the group gets one turn, then how many doors are open at the end?  Select
A) 0  B) 1  C) 2  D) 4  E) 5

Solution: If a door is closed at the start, it requires an odd number of people to operate to be open at the end. Only the perfect squares have an odd number of factors.   The doors which are open at the end are: 1, 4, 9, 16, 25 for a total of 5 doors.   The answer is 5.
Answer: E
If x/4 years ago Roger was 14 years old and x/4 years from now he will be 4x years old, how old will he be 4x years from now? Choose the correct choice.
A) 31  B) 35  C) 30  D) 40  E) 28

Solution: 31ssume the current age = a   a - x/4 = 14 (i)   a + x/4 = 4x   Or a = 15x/4 (ii)   Putting the value of a from (ii) in (i)   15x/4 - x/4 = 14   Or 14x/4 = 14 Therefore x = 4 and a = 15   4x years from now, age will be  15 + 4*4= 
 15 + 4*4 = 31
31   Option 31
Answer: A
In a forest 110 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 5 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?	Choose the correct choice from the following.
A) 150  B) 750  C) 1,250  D) 1,500  E) 2,500

Solution: The percentage of tagged deer in the second sample = 5/50*100= 
5/50*100 = 10
10%.   So, 150 tagged deers comprise 10% of total # of deers --> total # of deers= 110*10 = 1,100.   Answer: 1,500.
Answer: D
Each of the 47 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 14 students sign up for the poetry club, 22 students for the history club, and 20 students for the writing club. If 3 students sign up for exactly two clubs, how many students sign up for all three clubs?	Choose the correct choice from the following:
A) 1
B) 2
C) 3
D) 4
E) 5

Solution: The total number in the three clubs is 14+22+20= 
14+22+20 = 56
56.   All 47 students signed up for at least one club.   3 of those students signed up for exactly one more club.   56 - 50= 
56 - 50 = 6
6 so 3 students must have signed up for exactly three clubs.   The answer is 3.
Answer: C
The product of x and y is a constant. If the value of x is increased by 30%, by what percentage must the value of y be decreased?	Choose the correct choice from the following options.
A) 16% B) 23.07% C) 25% D) 30% E) 35%

Solution: x*y = constt.   Let x = y = 100 in beginning   i.e. x*y = 100*100= 
100*100 = 10_000
10000   x (100) ---becomes---> 1.3x (130)   i.e. 130*New 'y'= 10000   i.e. New 'y' = 10000/130 = 76.92   i.e. y decreases from 100 to 76.92 i.e. Decrease of 23.07%   23.07%
Answer: B
Mike's age is 60 years. If he is 3 more than three times the age of his son, find the age of his son.	Select
A) 25years	B) 22 years	C) 20 years	D) 18 years	E) 19 years

Solution: Let Mike's son age be x.   3 + 3x = 60   x = 19   Hence Mike's son age is 19 years   Answer : 19 years
Answer: E
In how many ways can you seat 9 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?  Select the correct option
A) 720  B) 1720  C) 2880  D) 5040  E) 241920

Solution: Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 6 chairs to sit. The remaining 8 people can sit in 8! ways. Thus the # of arrangements is 6*8! = 241,920.   Answer: 241920.
Answer: E
On multiplying a number by 3, the product is a number each of whose digits is 7. What is the smallest such number?	Choose the correct answer
A) 259129  B) 259219  C) 259279  D) 259259  E) None of the above

Solution: Explanation:   Let's use hit and trial method here.   Smallest number from the given choices = 259129   259129 × 3 = 777387   Next highest number from the given choices = 259219   259219 × 3 = 777657   Next highest number from the given choices = 259259   259259 × 3 = 777777   Hence 259259 is the answer.   Answer: 259259
Answer: D
A teacher will pick a group of 9 students from a group of 14 students that includes Bart and Lisa. If one of all the possible 9-student groups is picked at random, what is the probability of picking a group that includes both Bart and Lisa?
Choose the correct choice from the following options.
A) 11/70 B) 36/91 C) 21/47 D) 121/390 E) 3/71

Solution: Probability = Favorable Outcomes / Total Outcomes   Total Outcomes= Total No. of ways of Picking Group of 9 out of 14 = 14C9 = 14! / (9! * 5!) = 2002   Favorable Outcomes= Total No. of ways of Picking Group of 9 out of 14 such that B and L are always in the group (i.e. we only have to pick remaining two out of remaining 12 as 36/91 and L must be there is group) = 12C7 = 792   Hence,Probability=792/2002=36/91   Answer: Option 36/91
Answer: B
The radius of a semi circle is 6.3 cm then its perimeter is?
Choose the correct choice from the following options
A) 12.9
B) 32.4
C) 32.1
D) 32.2
E) 32.7

Solution: 36/7 r = 6.3   = 32.4   Answer: 32.4
Answer: B
Find the odd man out
10,20,40,80,90,160 Choices:
A) 10
B) 90
C) 20
D) 80
E) 160

Solution: 10*2= 
10*2 = 20
20   20*2= 
20*2 = 40
40   40*2= 
40*2 = 80
80   80*2= 
80*2 = 160
160   160*2= 
160*2 = 320
320   ANSWER:90
Answer: B
Rs. 6000 is lent out in two parts. One part is lent at 5% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Choose the correct option.
A) 1:1 B) 5:6 C) 5:2 D) 5:8 E) 5:2

Solution: Let the amount lent at 5% be Rs. x   Amount lent at 10% is Rs. (6000 - x)   Total interest for one year on the two sums lent   = 5/100 x + 10/100 (6000 - x) = 600 - 3x/100   => 600 - 3/100 x = 450 => x = 3000   1:1mount lent at 10% = 3000   Required ratio = 1:1   1:1nswer:1:1
Answer: A
If m and n are positive integers of K such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ?  Choose the correct choice.
A) 2m/n + 1	B) 2n/m + 1	C) 2n/(m+1)	D) 2m/n	E) 2n/m

Solution: Lets say N=10, M=5   2N=20. so the answer should be 4 (20/5)   lets try to plug in the answers:   A-not an integer   B-not an integer   C-not an integer   D-1 (not the answer)   E-4 - the answer. (the only one).   I would choose E.   Method 2   N=M*A (A is an integer)   So - A=N/M   therefore in 2N A will be 2N/M   Again - Answer is 2n/m.
Answer: E
On the shelf, there are four books of poetry, four novels, and three reference works. Suppose we picked two books at random. What is the probability that we pick one novel and one reference work?	Choose the correct answer.
A) 7/15  B) 8/25  C) 9/35  D) 11/45  E) 12/55

Solution: We could pick one novel and then one reference work, or, we could choose one reference work and then one novel.   P(one novel and one reference work) = 4/11*3/10 + 3/11*4/10 = 12/55   The answer is 12/55.
Answer: E
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 45 kg. What might be the weight of the new person?
Choose the correct choice
A) 65 kg
B) 90 kg
C) 85 kg
D) Data inadequate
E) None of these

Solution: A   65 kg   Total weight increased = (8 x 2.5) kg = 20 kg.   Weight of new person = (64 + 20) kg = 65 kg.
Answer: A
Ms. Popez deposits $ 130 in an account that pays 20% interest, compounded semiannually. How much money will there be in the account at the end of one year?	Choose the correct choice from the following.
A) $118.00  B) $120.00  C) $157.30  D) $122.00  E) $140.00

Solution: Using Formula - A = P(1+r/n)^nt   Given   P=130   n=2   t=1   r=0.2   Substituting value in formula   A = 130(1+0.2/2)^2   A= 157.30$=$157.30
Answer: C
Salaries of A, B and C were in the ratio of 3 : 5 : 7 respectively. If their salaries were increased by 50%, 60% and 50% respectively, what will be the new ratio of their respective salaries?  Answers:
A) 3 : 6 : 7 B) 4 : 5 : 7 C) 4 : 5 : 8 D) Data inadequate E) None of these

Solution: Suppose the salaries of A, B and C were 300k, 500k and 700k respectively.   After increment salary of   A = 300k + 50% of 300k = 450k   B = 500k + 60% of 500k = 800k   C = 700k + 50% of 700k = 1050k   Hence, new ratio of the respective salaries of A, B and C = 450k : 800k : 1050k = 9 : 16 : 21   Answer None of these
Answer: E
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 192 as interest at the end of the loan period, what was the rate of interest?
Choose the correct choice from the following answers:
A) 4	B) 6	C) 18	D) Cannot be determined	E) None of these

Solution: let rate = R% and time = R years   Then ( 1200 x R x R /100) = 192   => 12R2= 192   => R2= 16   => R= 4   4nswer 4
Answer: A
The difference of the squares of two consecutive even integers is divisible by which of the following numbers?  Choose the correct choice from the following options:
A) 4
B) 3
C) 7
D) 6
E) 9

Solution: Let the consecutive even integers are n and (n + 2)   difference of the squares = (n + 2)^2 - n^2 = (n^2 + 4n + 4) - n^2 = 4n + 4 = 4(n + 1)   which is divisible by 4   4nswer is 4
Answer: A
Two trains 170 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choose the correct choice from the following: A) 10.9 B) 10.7 C) 10.3 D) 11.88 E) 12.2

Solution: Relative speed = 60 + 40= 
60 + 40 = 100
100 km/hr.= 100 * 5/18 = 250/9 m/sec.   Distance covered in crossing each other = 170 + 160= 
170 + 160 = 330
330 m.   Required time= 330 * 9/250 = 297/25= 
297/25 = 297/25 = around 11.88
11.88 sec.   'Answer: 11.88
Answer: D
How many different combinations of outcomes can you make by rolling three standard (6-sided) dice if the order of the dice does not matter?
Options:
A) 24  B) 30  C) 56  D) 120  E) 216

Solution: 1) All dice have the same number:   you have 6 possibilities.   2) 2 dice have the same number, but the 3rd is different:   you have 6*5   3) 3 dice are all different:   you have 6*5*4/3! = 20.   Because the question says the order does not matter, u have to divide it by 3!.   so totally you have 56.   ANS:C. 56.
Answer: C
The sale price sarees listed for Rs.600 after successive discount is 10% and 5% is?	Choose one
A) 227  B) 513  C) 342  D) 787  E) 191

Solution: 600*(90/100)*(95/100)= 
600*(90/100)*(95/100) = 513
513   Answer: 513
Answer: B
The cost of 8 sharpeners and 12 pens is Rs.76/-. What is the cost of 20 sharpeners and 30 pens?  Choose the correct choice from the following options:
A) Rs.172 B) Rs.186 C) Rs.190 D) Rs.195 E) Rs.250

Solution: Explanation:   From the above statement we have,   The cost of 4 sharpeners + 6 pens = Rs.38/-   Multiplying each term by 5, we get   20 sharpeners + 30 pens = Rs.38x5 =Rs.190   Answer: Option Rs.190
Answer: C
By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?
Choose one
A) Rs. 110	B) Rs. 120	C) Rs. 140	D) Rs. 160	E) None of these

Solution: Let the cost of the brand be Rs. X per kg.   C.P. of 5 kg = (2 * 200 + 3 * x) = Rs. (400 + 3x)   S.P of 5 kg = Rs. (5 * 177) = Rs. 885   [885 - (400 + 3x)]/(400 + 3x) * 100 = 18   24250 - 150x = 3600 + 27x   177x = 20650 => x = 116 2/3   So, cost of the other brand = Rs. 116.66.   ANSWNone of theseR:None of these
Answer: E
If r is the square of a positive integer, which of the following must be equal to the square of the next positive integer?  Options:
A) √n + 1
B) n + 1
C) n^2 + 1
D) r + 2√r + 1
E) n^2 + 2n + 1

Solution: If r is the square of a positive integer, which of the following must be equal to the square of the next positive integer?   r = (x)^2 where x is a positive integer   To calculate -   (x+1)^2 = x^2 + 2x + 1   root(r) = x   Ans - r + 2 root(r) + 1   This should be r + 2√r + 1
Answer: D
Robert spent $104 in buying raw materials, $175 in buying machinery and 10% of the total amount he had as cash with him. What was the total amount?
Options
A) A)$150  B) B)$210  C) C)$250  D) D)$310  E) E)$200

Solution: Let the total amount be x   then, (100-10)% of x = 104+175   90% of x = 279   90x/100 = 279   x = $310   Answer is $310
Answer: D
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?	Choose the correct choice from the following options:  A) 40  B) 42  C) 43  D) 45  E) 50

Solution: 5x 6x 2x   50 25 100   250x + 150x + 200x = 4200   600x = 4200   x = 7 => 6x = 42   42
Answer: B
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. Find the average
speed for first 320 km of tour.
Choose the correct choice from the following answers.
A) 70.11 km/hr B) 71.11 km/hr C) 72.11 km/hr D) 73.11 km/hr E) None of these

Solution: Explanation:   We know Time = Distance/speed   So total time taken =   (16064+16080)=92hours Time taken for 320 Km = 320   ∗   29=71.11km/hr   Answer: 71.11 km/hr
Answer: B
A no.when divided by 125 gives a remainder 40, what remainder will be obtainedby dividingthe same no.15?  Choose the correct choice from the following
A) 10	B) 11	C) 12	D) 13	E) 14

Solution: 125 + 40= 
125 + 40 = 165
165/15= 
165/15 = 11
11 (Remainder)   11
Answer: B
A man bought 10 crates of pine apples for $160 total. If he lost 2 of the crates, at what price would he have to sell each of the remaining crates in order to earn a total profit of 30 percent of the total cost?
Options
A) $36 B) $46 C) $26 D) $16 E) $6

Solution: As given, after lost, the remaining 8 crates total cost = $160   So, 1 crate cost = 160/8= 
160/8 = 20
20   To get 30% profit, 1 crate cost should be=20+20*30/100= 
20+20*30/100 = 26
$26   Answer : $26
Answer: C
The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 14%?  Choices:
A) 34.375%
B) 48%
C) 50.5%
D) 52%
E) 56%

Solution: Explanation:   Let marked price = Rs. 100.   Then, C.P. = RS. 64, S.P. = Rs. 86   Gain % = 22/64 * 100= 
22/64 * 100 = 275/8 = around 34.375
34.375%.   34.375%nswer: Option 34.375%
Answer: A
How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months?	Choose the correct choice from the following options
A) 3587.58
B) 3587.52
C) 3587.5
D) 3587.51
E) 3587.57

Solution: I = (8200 * 2.5 * 17.5)/100   = (8200 * 5 * 35)/(100 * 2 * 2)   = Rs. 3587.50   Answer: 3587.5
Answer: C
In the last set of tests, a student scored marks in each of 5 subjects in the ratio 4:5:6:7:8 and got an overall average score of 60%. If a mark of 50% in a subject is a pass and the maximum marks of each subject is the same, how many subjects did the student pass?  Choose one.
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: The tests scores are 4k, 5k, 6k, 7k, and 8k.   The sum of the test scores is 30k.   The average test score is 30k/5 = 60. Then k = 10.   The test scores are 40, 50, 60, 70, and 80.   The student passed 4 subjects.   The answer is 4.
Answer: D
Albert invested Rs. 1000 in a scheme for 3 years at compound interest rate 10% p.a. How much amount will Albert get on maturity of the fixed deposit? Choose the correct answer: A) s.1300 B) s.1005 C) s.1031 D) s 1331 E) s.1120

Solution: Amount = [1000 * (1 + 10/100)3]   = 1000 * 11/10 * 11/10 * 11/10   = Rs.1331   Answer:s 1331
Answer: D
A club has has $329,864 in its savings account. What is the least amount of money (in whole number of dollars) that must be added to the account the money needs to be spent evenly among nine different scouts for scouting? Choose the correct answer.
A) $1	B) $2	C) $3	D) $4	E) $6

Solution: To find the least amount that must be added to the account to split the money evenly among 9 scouts, the total divisible by 9   Simply add the individual digits of the total = 3+2+9+8+6+4= 
3+2+9+8+6+4 = 32
32   If you add 4 , the number is divisible by 9 (32+ 4)   Correct Option : $4
Answer: D
Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 456?	Pick one.
A) 18%  B) 26.57%  C) 20%  D) 19%  E) None of these

Solution: CP = Rs. 540, MP = 540 + 15% of 540 = Rs. 621   SP = Rs. 456, Discount = 621 - 456= 
621 - 456 = 165
165   Discount %= 165/621 * 100 = 26.57%   ANSWER:26.57%
Answer: B
Find the average of all prime numbers between 30 and 50? Options
A) 95.3
B) 12.8
C) 75.3
D) 45.1
E) 39.8

Solution: there are five prime numbers between 30 and 50.   They are 31,37,41,43 and 47.   Therefore the required average=(31+37+41+43+47)/5 =199/5 = 39.8.   Ans: 39.8
Answer: E
In how many no. between 100 and 1000 exactly one of the digits is 3?
Choose the correct choice from the following answers.
A) 648	B) 512	C) 252	D) 225	E) 26

Solution: 3 scenarios possible   3XY = 1*9*9= 
1*9*9 = 81
81   X3Y (with X ≠≠3 or 0)= 8*1*9= 
8*1*9 = 72
72   Y3X (with Y ≠≠3 or 0)= 8*1*9= 
8*1*9 = 72
72   Total cases possible= 144+81= 
144+81 = 225
225   225 is the correct answer
Answer: D
In a kickball competition of 6 teams, how many possible matches can each team play with each other?  Answers.
A) 9	B) 15	C) 24	D) 36	E) 54

Solution: 6C2 = 15   Option 15
Answer: B
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?	Choose the correct choice from the following answers:
A) 6 kmph B) 9 kmph C) 7 kmph D) 5 kmph E) 1 kmph

Solution: S = 1   M = x   DS = x + 1   US = x - 1   35/(x + 1) + 35/(x - 1) = 12   x = 6   6 kmphnswer:6 kmph
Answer: A