MU-NLPC/Calc-aqua_rat huggingface dataset:
A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is:	Choose the most appropriate option:
A) 10%
B) 45%
C) 12%
D) 17%
E) 42%

Solution: C   Suppose he has 100 items. Let C.P. of each item be Re. 1.   Total cost = Rs. 100. Number of items left after theft = 80.   S.P. of each item = Rs. 1.10   Total sale = 1.10 * 80 = Rs. 88   Hence, loss % = 12/100 * 100= 
12/100 * 100 = 12
12%
Answer: C
present ages of A and B are in the ratio of 5:4 respectively. 5 years ago, the ratio of their ages was 4:3 respectively . what A's age in 5 year ago in years?
Choices.
A) 27 B) 24 C) 40 D) 32 E) 20

Solution: A and B be 5x years and 4x years respectively   (5x-5)/(4x-5)=4/3   3(5x-5)= 4(4x-5), 15x-15=16x-20   x=5, therefore A's present age : 5x=25 years   A's age in 5 years ago = 25 - 5= 
25 - 5 = 20
20   correct answer(20)
Answer: E
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is? Choose one
A) 298 m B) 277 m C) 245 m D) 256 m E) 267 m

Solution: Speed = [45 X 5/18] m/sec   = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30   = 25/2 => 2(130 + x) = 750 => x   = 245 m.   Answer: 245 m
Answer: C
In the formula V = (2r)^4, if r is halved, then V is multiplied by? Select:
A) 64
B) 8
C) 1
D) 1/8
E) 1/16

Solution: Say r=2 => V1 = 256   when r=1; V2 = 16   V2 = 1/16*V1.   Answer : 1/16
Answer: E
A mixture of 180 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Choose the correct choice:
A) 4 liters
B) 8 liters
C) 10 liters
D) 12 liters
E) 12.5 liters

Solution: Number of liters of water in180 liters of the mixture = 20% of 120 = 20/100 * 180= 
20/100 * 180 = 36
36 liters.   P liters of water added to the mixture to make water 25% of the new mixture.   Total amount of water becomes (36 + P) and total volume of mixture is (180 + P).   (36 + P)= 25/100 * (180 + P)   96+4P = 180+P   P = 12 liters.   Answer:12 liters
Answer: D
If equation |x/2| + |y/2| = 2 encloses a certain region on the coordinate plane, what is the area of this region?
Choices:
A) 20
B) 32
C) 100
D) 200
E) 400

Solution: The equation can be reduced to intercept form as |x/4| + |y/4| = 1, so these are lines in four quadrants with x and y intercept as 14, so it is a rhombus with diagonals of 8 each and hence area = 1/2*d1*d2 = 1/2*8*8 1/2* 1* 2= 
1/2* 1* 2 = 1
1/2*8*8= 
1/2*8*8 = 32
32. Answer 32.
Answer: B
If two positive numbers are in the ratio 1/7 : 1/5, then by what percent is the second number more than the first?  Choose the correct option
A) 70%  B) 90%  C) 60%  D) 40%  E) 65%

Solution: Given ratio = 1/7 : 1/5 = 5 : 7   Let first number be 5x and the second number be 7x.   The second number is more than first number by 2x.   Required percentage = 2x/5x * 100 = 40%.   Answer:40%2 /5  * 100= 
2 /5  * 100 = 40
40%.   Answer:40%
Answer: D
A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Options
A) 50 B) 99 C) 88 D) 65 E) 21

Solution: 50+B+C = 500   50+C = 200   B+C = 350   --------------   50+B+2C = 550   50+B+C = 500   ----------------   C = 50   50nswer: 50
Answer: A
The difference between the place value and the face value of 4 in the numeral 854973 is Choose the correct option.
A) 973
B) 6973
C) 3996
D) 6084
E) None of these

Solution: (Place value of 4) - (Face value of 4) = (4000 - 4)= 
(4000 - 4) = 3_996
3996   Answer: Option 3996
Answer: C
What is the probability of rolling three six-sided dice, and getting a different number on each die?	Choose the correct option:
A) 1/12  B) 1/3  C) 4/9  D) 5/9  E) 7/18

Solution: three dices were rolled   total outcome 6x6x6   different number should appear on each   favorable outcome= 6c1*5c1*4c1   probability= favorable/total   ans=(6*5*4)/(6*6*6)= 5/9   ans= 5/9
Answer: D
A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 60 minutes. When both pipes are opened, find when the cistern will be full?  Choose the correct option: A) 17 minutes B) 87 minutes C) 30 minutes D) 27 minutes E) 11 minutes

Solution: 1/20 - 1/60 = 1/30   30 minutes   Answer:30 minutes
Answer: C
In a survey about potential presidential candidates A and B, 35% of the public like A and 53% like B. If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that like neither?	Choose the correct choice from the following
A) 27%	B) 34%	C) 41%	D) 22%	E) 66%

Solution: Let x be the percentage of people who like both.   Then the percentage of people who like only 1 but not both is 2x.   35% + 53% = 2x + 2(x) because the percentage who like both are counted twice.   Then x = 22% and 2x = 44%   100% = 22% + 44% + Neither   Neither = 34%   The answer is 34%.
Answer: B
In a set of three numbers,the difference between the largest and the second largest numbers is added to the smallest number.The average of the largest,second largest and the new number formed exceeds the average of the original three numbers by 8.The largest number exceeds the second largest number by how much ?
Choices:
A) 5  B) 10  C) 15  D) 30  E) 60

Solution: Let the numbers in increasing order be A<B<C...   since the new number(N) increase the average of new set of numbers by 5 after replacing the smallest number,A,   the new number,N, exceeds the smallest,A, by  3*5= 
 3*5 = 15
15 orN=15+A..(1)   and what is the new number,N,----C-B (diff in the largest and second largest)+A...(2)...   from (1)(2) 15-B=15   Answer:15
Answer: C
A student completes a 3 part exam as follows. The student completes sections A in 6 minutes and takes an equal time to complete the two remaining sections. What is the ratio of time spent on section C to section A if the total duration is 1 hour?	Answers:  A) 7:1  B) 9:2  C) 8:3  D) 5:2  E) 6:1

Solution: The time spent on section B and section C is 27 minutes each.   The ratio of C to A is 27:6 = 9:2   The answer is 9:2.
Answer: B
Average of six numbers comes out to be 3.95. Average of two of the numbers is 3.4 while the average of other two is 3.85. Determine the average of the two numbers left.  Select.
A) 4.6
B) 4.9
C) 4.2
D) 1.4
E) 3.5

Solution: Explanation:   In the given question we have taken average of 6 numbers taken 2 at a time which makes 3 numbers.   => 3.95 (4.6verage of 1st and 2nd number)   => 3.85 (4.6verage of 3rd and 4th number)   => 3.4 (4.6verage of 5th and 6th number)   3.95 = (3.4 + 3.85 + x)/3   x = 4.6   4.6NSWER: 4.6
Answer: A
How much time will it take for an amount of Rs. 900 to yield Rs. 81 as interest at 4.5% per annum of simple interest?  Options:
A) 4 years B) 6 years C) 5 years D) 2 years E) 7 years

Solution: P = Rs.900   SI = Rs.81   T = ?   R = 4.5%   T= 100×SIPR=100×81900×4.5=2 years   ANSWER:2 years
Answer: D
If x > 0, x/50 + x/5 is what percent of x?
Select the correct option
A) 6%  B) 25%  C) 37 1/2%  D) 60%  E) 75 %

Solution: Just plug and chug. Since the question asks for percents, pick 100. (but any number will do.)   100/50 + 100/5= 2+20 =25   25 is 25% of 100=25%
Answer: B
The salary of a person was reduced by 20%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
Options:	A) 10%	B) 15%	C) 20%	D) 25%	E) 50%

Solution: Let the original salary be $100   new salary = $80   increase on 80 = 20   increase on 100 = [(20/80)100]% = 25%   Answer is 25%
Answer: D
Bob can fill Q cans of water in 5 minutes. If there are R cans of water in one gallon, how many gallons can Bob fill in 55 minutes? Choose the correct option
A) 5Q/R	B) 11R/Q	C) 11QR	D) 11Q/R	E) 5R/Q

Solution: Bob can fill this number of cans in 55 minutes:  (55/5)= 
 (55/5) = 11
11Q.   One can is 1/R gallons.   Bob can fill 11Q*(1/R)= 11Q/R gallons of water in 55 minutes.   The answer is 11Q/R.
Answer: D
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ? Choose the correct choice from the following choices
A) 1/3
B) 1/2
C) 1/5
D) 1/6
E) 1/8

Solution: The number of exhaustive outcomes is 36.   Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2   P(E) = 1 - 1/2 = 1/2.Answer:1/2
Answer: B
What inequality represents the condition 1<x<11?	Choose the correct choice from the following choices:
A) |x|<3	B) |x-6|<5	C) |x-1|<9	D) |-5+x|<4	E) |3+x|<5

Solution: 1<x<11 represents segment with   length:   11-1= 
  11-1 = 10
10   center:   (11+1)/2= 
  (11+1)/2 = 6
6   For any |x-a|<b a is a center and b is a half of length. So, |x-6|<10/2 represents our inequality (answer |x-6|<5)
Answer: B
5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?
Choose the correct choice from the following options:
A) 2988
B) 2776
C) 4400
D) 2871
E) 881

Solution: X * (95/100) * (85/100) = 3553   X = 4400   Answer:4400
Answer: C
Ramanujan buys an old scooter for Rs. 5400 and spends Rs. 600 on its repairs. If he sells the scooter for Rs. 6600, his gain percent is :  Select:
A) 20%	B) 12%	C) 10%	D) 5%	E) None of these

Solution: Explanation :   Solution: C.P. =Rs. (5400+600) =Rs. 6000; S.P. = Rs. 6600.   Gain% = (600*100/6000)= 
(600*100/6000) = 10
10%.   Answer : 10%
Answer: C
If a: b = 7: 5, b: c = 9: 11, find a: b: c?  Pick one.
A) 63: 14: 55  B) 63: 45: 55  C) 14: 14: 15  D) 7: 14: 15  E) 9: 12: 17

Solution: Explanation:   a: b = 7: 5   b: c = 9: 11   a: b: c = 63: 45: 55   ANSWER IS 63: 45: 55
Answer: B
What is the sum of the digits of integer k, if k = (10^40- 46)	Select.
A) 351 B) 360 C) 363 D) 369 E) 378

Solution: There are 41 digits in 10^4   When we subtract 46 from it, there will be 40 digits left.   10^4 can be written as 9999999....(40 times) + 1   So,   10^40 - 46 = 9999999....(40 times) + 1 - 46 = 9999999....(40 times) -45   Consider the last 2 digits,   99-45= 
99-45 = 54
54   The last 2 digits will be 54.   And our number would be 99999......99954 with 2 less 9s after subtraction.   Number of 9s left are 38 and the last two digits are 54   The sum of the digits will be     (38*9) + 5 + 4= 
  (38*9) + 5 + 4 = 351
351   351nswer:- 351
Answer: A
There are 5 physics books and 1 chemistry book on shelf P and 3 physics books on shelf Q. One book is moved from shelf P to shelf Q. A student picks up a book from shelf Q. What is the probability that the chemistry book is taken by the student?  Pick one:
A) 1/42
B) 1/36
C) 1/30
D) 1/24
E) 1/18

Solution: P(a chemistry book is moved to shelf Q) = 1/6   P(a chemistry book is then chosen from shelf Q) = 1/4   P(the student takes a chemistry book) = 1/6 * 1/4 = 1/24   The answer is 1/24.
Answer: D
In a game of 80 points; A can give B 5 points and C 15 points. Then how many points B
can give C in a game of 60 ?  Choose the correct choice from the following answers
A) 7  B) 8  C) 9  D) 10  E) 11

Solution: From the above information, A:B= 80:75 and A:C= 80:65   Now   B/C= (B/A)*(A/C)= (75/80)*(80/65)=15/13   B/C=15/13= 15*4/13*4= 60/52   In a game of 60, B can give C 8 points.   ANSWER:8
Answer: B
Of the following values of n, the value of (-1/5 )^(-n) will be greatest for n =?  Answers:
A) 3 B) 4 C) 0 D) -4 E) -3

Solution: imo -4   (-1/5)^-4=   1/(1/625)= 
1/(1/625) = 625
625   oops i meant 4   4
Answer: B
Meg and Bob are among the 8 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?  Choose one:	A) 2400	B) 3000	C) 20160	D) 9000	E) 1200

Solution: Total # of ways the race can be finished is 8!. In half of the cases Meg finishes ahead of Bob and in other half Bob finishes ahead of Meg. So, ways Meg to finish ahead of Bob is 8!/2=20160.   Answer: 20160.
Answer: C
The average of 15 numbers is calculated as 20. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?	Pick one
A) 30 B) 26 C) 16 D) 97 E) 12

Solution: 15 * 20 + 36 – 26   = 300/10= 
300/10 = 30
30   30nswer: 30
Answer: A
The initial price of an article is Rs.6000 which increases 40% increse in its price in the first year,a 20% decrease in the second year and a 20% increase in the next year. What is the final price of the article ? Answers.
A) Rs.5392
B) Rs.6392
C) Rs.8392
D) Rs.7392
E) Rs.9392

Solution: The initial price of the article is Rs.6000. In the 1st year, price of the article = 6000 + 2400 = Rs. 8400. In the 2nd year, price = 8400 - 20% of 8400= 8400 - 1680 = Rs. 6720.   In the 3rd year, price = 6720 + 10% of 6720 = 6720 + 672 = Rs. 7392   Required price = = Rs.7392.   Answer:Rs.7392
Answer: D
If the first day of a year (other than leap year) was Monday, then which was the last day of that year?	Pick.
A) Saturday B) Friday C) Tuesday D) Monday E) None of these

Solution: Explanation :   Given that first day of a normal year was Monday   Odd days of the mentioned year = 1 (Since it is an ordinary year)   Hence First day of the next year = (Monday+ 1 Odd day) = Tuesday   Therefore, last day of the mentioned year = Monday. Answer : Option Monday
Answer: D
Which of the following numbers completes
the sequence 3, 8, 14, 21, 29, ___?  Choose the correct choice from the following choices.
A) 35
B) 36
C) 37
D) 38
E) 39

Solution: The numbers increase at a somewhat steady rate, so you have to figure out how much   you have to add to each number to produce the next in the sequence:  3 + 5= 
 3 + 5 = 8
8; 8 + 6= 14;    14 + 7= 
 14 + 7 = 21
21; 21 + 8= 29, and so on. The rule for the sequence is to add successively larger   numbers to each number; therefore, the next number is   29 + 9= 
  29 + 9 = 38
38.   correct answer 38)38
Answer: D
A, B and C shared profits in ratio of 9 : 7 : 8. Theypartnered for 14months, 8months and 7months respectively. What was he ratio of their investments ?  Answers
A) 10 : 49 : 45	B) 20 : 49 : 64	C) 10 : 19 : 64	D) 20 : 29 : 64	E) 36 : 29 : 63

Solution: Simply multiply profit sharing ratio with investment ratio to get investment amount ratio.   Let X is the total investment   â‡’14 x = 9   â‡’ 8 x = 7   â‡’ 7x = 8   â‡’ Final investment ratio = 36 : 49 : 64   36 : 29 : 63
Answer: E
A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?  Choose the correct answer.
A) 20  B) 40  C) 45  D) 25  E) 60

Solution: 1: 2/5 = 5: 2   2/7 * 70= 
2/7 * 70 = 20
20   20NSWER 20
Answer: A
A garrison of 300 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
Choose the correct choice from the following choices
A) 45 days
B) 55 days
C) 35 days
D) 25 days
E) 40 days

Solution: 400 --- 31   400 --- 3   120 --- ?   300*3 = 20*x => x =45 days   45 daysNSWER:45 days
Answer: A
If 5400 mn = k^4, where m, n, and k are positive integers, what is the least possible value of 5m + n?  Answers.
A) 65
B) 18
C) 20
D) 25
E) 33

Solution: k^4=5400∗mn   k^4=3^3.2^3.5^2.mn   In order to make RHS a perfect power of 4, we require it to be multiplied by 3, 2 & 5^2   mn=3.2.5^2   mn = 150 = 10 * 15 (Least possible)   65nswer =5* 10 + 15= 
5* 10 + 15 = 65
65   65NSWER:65
Answer: A
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned? Select the correct option
A) Rs.19,928.80	B) Rs.19,828.80	C) Rs.19,898.80	D) Rs.19,588.80	E) Rs.19,899.80

Solution: Let the sum be Rs.P   P{ [ 1 + 8/100]2 - 1 } = 2828.80   P(8/100)(2 + 8/100) = 2828.80 [a2 - b2   = (a - b) ( a + b)] P = 2828.80 / (0.08)(2.08)   = 1360/0.08= 
1360/0.08 = 17_000
17000 Principal + Interest= Rs. 19828.80   Answer:Rs.19,828.80
Answer: B
In a company of 170 employees, 110 are females. A total of 80 employees have advanced degrees and the rest have a college degree only. If 25 employees are males with college degree only, how many employees are females with advanced degrees?
Choose the most appropriate option:
A) 40
B) 45
C) 50
D) 55
E) 60

Solution: The number of males is 170-110= 
170-110 = 60
60.   The number of males with advanced degrees is 60-25= 
60-25 = 35
35.   The number of females with advanced degrees is   80-35= 
  80-35 = 45
45.   The answer is 45.
Answer: B
Car Dealership X, the total profit from sales increased by 12 percent over the previous years, while the number of cars sold decreased by 12 percent over the previous years. Approximately what was the average percent increase in profit per car over the previous year.	Options:
A) 18%  B) 20%  C) 22%  D) 27.27%  E) 35%

Solution: Let Profit be x and cars sold be y   Originally Profit/Car = x/y   Now it is 1.12x / 0.88 y = 112/88 (x/y)   Increase in profit per car = ((24/88) (x/y)) / (x/y) * 100 = 27.27%   Answer = 27.27%
Answer: D
The number of sailors on a ship is 50% more than the number of officers. The ratio of sailors to officers would be	Choose one
A) 33:25  B) 47:20  C) 3:2  D) 22:25  E) 97:50

Solution: Sailor = 1.50 * Officer   Sailor/Officer = 1.50/1 = 150/100 = 3/2   Answer will be 3:2
Answer: C
Two pipes A and B fill at a certain rate.B is filled at 10,20,40,80(10 in 1 hour,20 in 2 hours,40 in 3 hrs and so on). if 1/16 of B is filled in 17 hrs,what time it will take to get completely filled? Options:
A) 20 hrs	B) 21 hrs	C) 22 hrs	D) 23 hrs	E) 24 hrs

Solution: 1/16 in 17 hrs   so 1/8 in 18 hrs   1/4 in 19 hrs   1/2 in 20 hrs   and complete tank in 21 hrs   ANSWER:21 hrs
Answer: B
How many days per calendar year is the month a factor of the day  Choose the correct choice:
A) 0	B) 1	C) 59	D) 90	E) 124

Solution: Solution: 124   All 31 days in January, because 1 is a factor of all integers   14 of the 28 days in February (because every other day is divisible by 2)   10 of the 31 days in March (the multiples of 3 between 3 and 30)   7 days in April (the multiples of 4 between 4 and 28)   6 days in May (the multiples of 5 between 5 and 30)   5 days in June (the multiples of 6 between 6 and 30)   4 days in July (the multiples of 7 between 7 and 28)   3 days in August (the multiples of 8 between 8 and 24… so, so close if only the month were 32 days long!)   3 days in September (9th, 18th, 27th)   3 days in October (10th, 20th,30th)   2 days in November (11th, 22nd)   2 days in December (12th, 24th)   And there you have it! As you can see, as you move through the months, your job starts to get easier as you pick up on the patterns and are able to reuse some of your previous insights… This is a very valuable skill to remember on test day!   124
Answer: E
A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 60% total profit if he has already sold one of the four cars at Rs. 1.2 lakh?  Choose the correct choice
A) 1.8 lakh
B) 1.2 lakh
C) 1.9 lakh
D) 8.1 lakh
E) 6.1 lakh

Solution: Explanation:   Total cost of 4 cars = 1+2= 
1+2 = 3
3 lakh   Total SP of 4 cars= 3 x 1.6 = 4.8 lakh   SP of 1 car = 1.2 lakh   SP of rest 3 cars = 4.8 - 1.2= 
4.8 - 1.2 = 3.6
3.6 lakh   Average SP of all the 3 cars= 1.2 lakh   Answer: 1.2 lakh)
Answer: B
A person travels equal distances with speeds of 3km/hr, 4km/hr, 5km/hr. and takes a total time of 47minutes. Find the total distance ?	Select the correct option
A) 3 B) 2 C) 5 D) 4 E) 6

Solution: Let the each distance be x km   total distance = 3x   then total time,   (x/3)+(x/4)+(x/5) = 47/60   x=1   total distance = 3*1= 
3*1 = 3
3km   correct option is 3
Answer: A
The arithmetic mean of set M is zero. If N = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of M consisting of all those elements in M which are more than two but less than three standard deviations away from the arithmetic mean of M, what could be equal to the standard deviation of M?	Options: A) 0.54 B) 0.77 C) 0.82 D) 0.97 E) 1.62

Solution: This is a fairly straightforward question that can be solved quickly by just applying the options   We are provided with Mean, m= 0   and N = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of M   N consists of all those elements in M that are more than 2 but less than 3 MDs away from the arithmetic mean of M   If an element is 1 MD away from the mean, we can write it as either m + MD or m - MD   Similarly, if an element is 2 MDs away from the mean, we can write it as either m + 2*MD or m - 2*MD   So, if these elements lie within 2 and 3 MDs of mean, m=0   we can find which one of these values of MD satisfies each value within N   Only MD = 0.77 does   Answer : 0.77
Answer: B
If the price of a computer were reduced by 14 percent, which of the following could not be the final price of the computer? (Assume initial price to be integer in cents)	Options: A) $844.10 B) $894.40 C) $1,053.50 D) $1,135.20 E) $1,259.90

Solution: Let X be the initial price of computer without discount   then price (final) after discount should be=X(1-14/100)------->X(43/50)=A(say)   means X=A*(50/43).....   so initial price to be integer(As per stem) final price must be multiple of 43   if we check options all were divisible by 43 except option (A)..which is Ans.   $844.10ns $844.10
Answer: A
Gary started driving at 9:00 am from city A towards city B at a rate of 50 mph. At a rate that is 15 mph higher than Gary's, Thomas started driving at the same time as John from city B towards city A. If Gary and Thomas crossed each other at 11 am, what is the distance beween the two cities?	Select:
A) 230 miles  B) 240 miles  C) 250 miles  D) 260 miles  E) 270 miles

Solution: gary speed--->50mph   thomas speed---->65mph   both started at 9:00 am they crossed at 11:00 that means each travelled 2hrs so  50*2+65*2= 
 50*2+65*2 = 230
230 miles   230 milesNSWER:230 miles
Answer: A
Tim and Tom are workers in a department that has a total of 9 employees. Their boss decides that two workers from the department will be picked at random to participate in a company interview. What is the probability that both Jim and John are chosen?  Choose the correct answer: A) 1/35 B) 1/34 C) 1/33 D) 1/36 E) 1/37

Solution: Probability = 2c2/9c2   = 1/36   Answer 1/36
Answer: D
If the number of white balls in a box are 6 times the black balls, which of the below is the total number of balls, if there are 8 black balls in the box? Choose the correct choice from the following choices.
A) A - 56	B) B - 57	C) C - 58	D) D - 59	E) E - 60

Solution: Let the number of black balls = x and the number of white balls = 6x Then, total number of balls in the box = x + 6x = 7x i.e., the total number of balls must be a multiple of 7 From the given choices, only 56 is the multiple of 7. Hence, 56 are the number of balls in the box. A - 56nswer is A - 56.
Answer: A
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is  Choose the correct option:
A) 10  B) 12  C) 14  D) 13  E) 18

Solution: Explanation:   abcbcd=3851001=>ad=513   abcbcd=3851001=>ad=513   So d = 13   13
Answer: D
Train X and train Y pass one another traveling in opposite directions. Sixty minutes later they are 100 miles apart. If train X’s constant speed is 30 miles per hour greater than train Y’s, how far does train X travel during that time? Select:
A) 28	B) 40	C) 65	D) 72	E) 80

Solution: Let the rate of the Train Y be R   Then the rate of the Train X will be R+30 (given)   As per relative rate concept, the rate at which they are increasing the distance between them is R+(R+30) [add the rates] i.e. 2R+30   d=100 and t = 1 hr   using RTD table, (2R+30) * 1 = 100 ==> R= 35 miles/hr   So the rate of train X is 65 miles/hr (since R+30)   The distance traveled by Train X in 60 min is R*T = 65 * 60/60= 
65 * 60/60 = 65
65 miles (65)
Answer: C