MU-NLPC/Calc-aqua_rat huggingface dataset:
When the price of a radio was reduced by 20%, its sale increased by 80%. What was the net effect on the sale?
Choose the most appropriate option
A) 44% increase  B) 44% decrease  C) 66% increase  D) 75% increase  E) None of these

Solution: Let the original price be x and sale be of y units.   Then, the revenue collected initially = x × y   Now, new price = 0.8x, new sale = 1.8y   Then, new revenue collected = 1.44xy   % increase in revenue = 0.44xy/xy×100   = 44% increase   44% increasenswer 44% increase
Answer: A
The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places)
Choose the correct choice from the following answers.
A) Rs.20043.94	B) Rs.20043.95	C) Rs.20043.91	D) Rs.20043.98	E) Rs.20043.87

Solution: Explanation:   Let the rate of interest be R% p.a.   (49500)(3)(R)/100 = 17820   495R = 5940   R = 12   CI on Rs.49500 at 12% p.a. for three years   = 49500{[1 + 12/100]3 - 1} = 69543.936 - 49500 = Rs.20043.94   when rounded off to two decimal places.   Rs.20043.94nswer: Rs.20043.94
Answer: A
If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true?
I.	x > y> z
II.	x = z
III. x > y
Choose the correct choice:  A) I and II  B) I only  C) II only  D) III only  E) None

Solution: 3x-3y=-3z   x-y=-z   Since z<0; -z>0   x-y>0   x>y   III correct.   We can't say much about z though;   x=-5; y=-100; z=-95   I and II incorrect.   Ans:III only
Answer: D
A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 3 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?	Select
A) 3 + 4 + 10 B) 3 × 4 × 10 C) 21 × 20 × 19 D) 7! + 4! + 10! E) 7! × 4! × 10!

Solution: 1 sales manager can be selected out of 3 in 3 ways   1 clerk can be selected out of 4 in 4 ways   1 receptionist can be selected out of 10 in 10 ways   total no. of ways these 3 can be selected = 3 *4 * 10   Ans. 3 × 4 × 10)3 × 4 × 10
Answer: B
A certain store sold pens for $0.35 each and pencils for $0.25 each. If a customer purchased both pens and pencils from the store for a total of $2.00, what total number of pens and pencils did the customer purchase? Select the correct option:
A) 6
B) 9
C) 10
D) 11
E) 12

Solution: Answer: AAlgebraically, the question looks like this: 2.5 = 0.35x + 0.25yThere are six possible numbers of pens that fit that requirement:   1 pen: $0.35   2 pens: $0.70   3 pens: $1.05   4 pens: $1.40   5 pens: $1.75 and 1 pencils for $0.25 each. That's 5 pens and 1 pencils for a total of 6 pens and pencils. Choice (6) is correct.
Answer: A
Mr.Jones gave 40% of the money he had to his wife. he also gave 20% of the remaining amount to his 3 sons. half of the amount now left was spent on miscellaneous items and the remaining amount of Rs.12000 was deposited in the bank. how much money did Mr.jones have initially? Select the correct option:
A) 1000
B) 10000
C) 100
D) 1
E) 100000

Solution: Let the initial amount with Mr.Jones be Rs.x   Then, (1/2)[100-(3*20)]% of x=12000   (1/2)*(40/100)*(60/100)*x=12000   x=((12000*25)/3)= 
((12000*25)/3) = 100_000
100000   ANSW100000R 100000 100000
Answer: E
Find the no.of ways of arranging the boy and 6 guests at a circular table so that the boy always sits in a particular seat? Choose the correct choice
A) 7!	B) 6!	C) 9!	D) 10!	E) 11!

Solution: Ans.(B)   Sol. Total number of persons = 7 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 6 places in 6P6 = 6! Ways ... The number of required arrangements = 6! x 1= 6! = 6! ways
Answer: B
Today is Monday. After 61 days, it will be:  Choose the most appropriate option.
A) Tuesday	B) Wednesday	C) SATURDAY	D) Thursday	E) Friday

Solution: If today is Monday ..after 7 days it will be monday..soo 56th day will be Monday..   57- Tues   58-Wed   59-Thurs   60-Fri   61- SATURDAY   ANSWER:SATURDAY
Answer: C
Each truck from Kanes Removal Company can haul 750 pounds of trash at a time.
On Wednesday the company has jobs to remove 1,500 pounds of trash from one
site, 750 from another site, and 3,000 from a third site. How many total pounds of
trash will be moved by Jones Company that day? How many trips will it take for the
Jones Company to remove all of the trash?
Choose the correct choice from the following answers
A) 5500 lbs.-2 Trips
B) 4500 lbs.-9 Trips
C) 2500 lbs.-3 Trips
D) 5250 lbs.-7 Trips
E) 6500 lbs.-8 Trips

Solution: Total trash = 1500+750+3000= 
1500+750+3000 = 5_250
5250   No. of trips= 5250/750= 
5250/750 = 7
7   Answer : 5250 lbs.-7 Trips
Answer: D
A rectangular field is 52 yards long and 20 yards wide. A fence is needed for the perimeter of the
field. Fencing is also needed to divide the field into three square sections. How many feet of fencing
are needed? (It is a good idea to make a drawing for this one.)	Choose the correct choice from the following answers:
A) 552 ft B) 530 ft C) 430 ft D) 330 ft E) 230 ft

Solution: 52 + 20 + 52 + 20= 
52 + 20 + 52 + 20 = 144
144 yds. for   outside of field.   20 + 20= 
20 + 20 = 40
40 yds. for dividing sections    144 + 40= 
 144 + 40 = 184
184 yds. of fencing   184 x 3= 552 ft. of fencing   correct answer 552 ft
Answer: A
The principal that amounts to Rs. 4813 in 3 years at 6 1/4 % per annum C.I. compounded annually, is?  Choose the correct choice from the following options.
A) s. 3096	B) s. 4036	C) s. 4085	D) s. 4096	E) s. 5096

Solution: Principal = [4913 / (1 + 25/(4 * 100))3]   = 4813 * 16/17 * 16/17 * 16/17 = Rs. 4036.   ANSWER:s. 4036
Answer: B
In a family, there are six members A, B, C, D, E and F.
A and B are a married couple, A being the male member. D is the only son of C, who is the brother of A. E is the sister of D. B is the daughter-in-law of F, whose husband has died.
How many male members are there in the family ?  Choose the correct choice from the following
A) 1
B) 9
C) 3
D) 4
E) 6

Solution: Explanation:   A is a male and married to B. So, A is the husband and B is the wife. C is the brother of A. D is the son of C. E, who is the sister of D will be the daughter of C. B is the daughter-in-law of F whose husband has died means F is the mother of A.   A is a male. B. the wife, is female. C. the brother, is male. D. the son, is male. E, the sister, is female. F, the mother, is a female. So, there are three males.   Answer: 3) 3
Answer: C
If A's salary is 20% less than B's salary, by how much percentage is B's salary more than A's? Choose the correct option:	A) 25%	B) 15%	C) 30%	D) 32%	E) 40%

Solution: Required percentage = [100*20/(100-20)= 
100*20/(100-20) = 25
25%   25%nswer is 25%
Answer: A
In the manufacture of a certain product, 10 percent of the units produced are defective and 5 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?
Answers.
A) 0.25%  B) 0.5%  C) 0.75%  D) 1.25%  E) 2.5%

Solution: 0.1*0.05= 
0.1*0.05 = 0.005
0.005= 0.5%   The answer is 0.5%.
Answer: B
Cars emerging from a motorway arrive at a junction that splits the road into two separate lanes. The number of cars per hour that continue in either lane is constant. If 14 cars per hour were diverted from the left lane to the right lane, the number of cars entering the right lane per hour would be twice as big as the number of cars entering the left lane per hour. Alternatively, if 14 cars per hour were diverted from the right lane to the left lane, the number of cars entering the left lane per hour would be four times as great as the number of cars entering the right lane per hour. How many cars enter the left lane per hour?	Select the correct option:
A) 14	B) 22	C) 20	D) 21	E) 23

Solution: as per question 14 cars diverted from left lane to right lane. Thus we get equation R+14=2(L-14)   as per question 14 cars diverted from right lane to left lane .thus we get equation L+14=4(R-14)   by solving two equation i.e R +14 =2L-28 OR. R =2L -42 AN21 L+14= 4R -56 OR L= 4R -70   BY SOLVING WE GET L= 4( 2L -28) -35 OR L= 8L -112-35 OR 147 =7L THUS L =21   21
Answer: D
(3x + 1) (2x - 5) = ax^2 + kx + n . What is the value of a - n + k ?
Select the correct option: A) 5 B) 8 C) 9 D) 14 E) 11

Solution: Expanding we have 6x^2 - 15x + 2x -5   6x^2 - 13x - 5   Taking coefficients, a = 6, k= -13, n = -5   Therefore a - n + k = 6 - (-13) - 5 = 19 - 5= 
19 - 5 = 14
14   The answer is 14.
Answer: D
At a certain store, the price of a pair of shoes is twenty dollars more than three times the price of a pair of jeans and the price of a sweater is forty percent more than the price of a pair of shoes. If the price of a pair of jeans is j dollars at this store, then what is the price, in dollars, of a pair of shoes, a sweater and a pair of jeans, in terms of j ? Pick one
A) 1.5j + 10 B) 3j + 20 C) 4.5j + 30 D) 8.2j + 48 E) 8.5j + 50

Solution: Ans 8.2j + 48   Given   Price of Jeans = J   Price of shoes = 20+3J   Price of Sweater = 1.5(20+3J)   Total Price of all three items = J+20+3J+1.4(20+3J) = 48+8.2J
Answer: D
A trader bought a car at 5% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?  Choose the most appropriate option
A) 118	B) 133	C) 112	D) 113	E) 115

Solution: Original price = 100   CP = 95   S = 95*(140/100)= 
95*(140/100) = 133
133   100 - 133= 5%   Answer: 133
Answer: B
What is the next number of the following sequence
1,3,4,1,9... Options
A) 14	B) 15	C) 16	D) 17	E) 18

Solution: (1, 3 ,4) (1, 9, x)   square of 1st group gives 2nd group   1^2 = 1   3^2 = 9   4^2 = 16   ANSWER:16
Answer: C
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?  Choose the correct answer.
A) 200 Sec
B) 190 Sec
C) 167 Sec
D) 197 Sec
E) 179 Sec

Solution: L = S*T   S= 1200/120= 
1200/120 = 10
10 m/Sec.   Total length (D)= 1900 m   T = D/S   T = 1900/10= 
1900/10 = 190
190 Sec   Answer: 190 Sec
Answer: B
By selling 99 pens, a trader gains the cost of 33 pens. Find his gain percentage?
Answers
A) 33 1/3% B) 33 1/0% C) 33 4/3% D) 31 1/3% E) 33 1/5%

Solution: Let the CP of each pen be Rs. 1.   CP of 99 pens = Rs. 99   Profit = Cost of 33 pens = Rs. 33   Profit% = 33/99 * 100 = 33 1/3%   33 1/3%nswer:33 1/3%
Answer: A
The profit earned by selling an article for Rs.832 is equal to the loss incurred when the same article is sold for Rs.448. What should be the sale price for making 50% profit?
Options
A) Rs.760  B) Rs.860  C) Rs.950  D) Rs.960  E) Rs.970

Solution: Let C.P=Rs.x   Then 832-x=x-448   2x=1280-->x=640   150% of Rs.640=(150/100*640=Rs.960   Required S.P=Rs.960   ANSWER:Rs.960
Answer: D
A group of four women and two men have tickets for seven adjacent seats in one row of a theatre. If the three men will not sit in two adjacent seats, how many possible different seating arrangements are there for these 6 theatre-goers?
Pick one:  A) 7! – 2!3!2!  B) 7! – 4!3!  C) 6! – 5!2!  D) 7 × 2!3!2!  E) 2!3!2!

Solution: 6 people can sit in 6! different ways. But because 2 men cannot sit together, we take them as a unit.   This unit of men, among themselves can sit in 2! ways.   Hence, 6! - 2!.   This unit of men along with 4 women can sit in 5! different ways which also needs to be eliminated.   Hence 6! - 5!2!   6! – 5!2!
Answer: C
In the first 10 overs of a cricket game, the run rate was only 5.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Select the correct option:
A) 6.25 B) 6.5 C) 6.75 D) 5.75 E) 8

Solution: 10 overs - run rate = 5.2   runs scored in first 10 overs = 52   remaining overs 40   total runs to be scored= 282   52 runs already scored 282-52= 
282-52 = 230
230   230 runs to be scored in 40 overs   let required runrate be x   40*x=230   x=230/40= 
230/40 = 23/4 = around 5.75
5.75   the required runrate is 5.75   ANSWER:5.75
Answer: D
If the average of 54, 55, 57, 58, 59, 62, 62, 63, 65 and x is 60, what is the value of x?  Choose the most appropriate option
A) 60
B) 62
C) 64
D) 65
E) 66

Solution: Sum of the deviations of the numbers in the set from the mean is always zero   54, 55, 57, 58, 59, 62, 62, 63, 65   mean is 60   so the list is -6-5-3-2-1+2+2+3+5... this shud total to zero   but this is -5 , hence we need a number that is 5 more than the mean to get a +5 and make it zero   hence the answer is  60 + 5= 
 60 + 5 = 65
65   65
Answer: D
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 62 km downstream?  Choose the correct choice from the following answers:
A) 30/83 hours
B) 33/13 hours
C) 31/13 hours
D) 30/13 hours
E) 30/14 hours

Solution: Speed downstream = 20 + 6= 
20 + 6 = 26
26 kmph.   Time required to cover 62 km downstream= d/s = 62/26   = 31/13 hours.   Answer:31/13 hours
Answer: C
Each week, Harry is paid x dollars per hour for the first 12 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?
Pick:	A) 32	B) 36	C) 37	D) 38	E) 39

Solution: 42x=12x+1.5x(H-12)   ==> 42=12+1.5(H-12)   ==> H-12= 30/1.5= 
30/1.5 = 20
20==> H = 32   32nswer is 32
Answer: A
50 numbers average is 30. If two numbers, 35 and 40 discarded, then the average of the remaining numbers is nearly: Choices.
A) 29.68
B) 30.5
C) 36.78
D) 40.05
E) 42.03

Solution: Total sum of 48 = (50*30) - (35+40) = 1500 - 75= 
1500 - 75 = 1_425
>1425=>1425/48 =>29.68   29.68NSWER 29.68
Answer: A
If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land heads up exectly twice in 3 consecutive flips ?	Pick
A) 0.125	B) 0.25	C) 0.375	D) 0.5	E) 0.666

Solution: P=nCm*p^m*q^(n-m)   n - the total number of trials.   m - the number of trials with heads.   n-m - the number of trials with tails.   p - probability of heads.   q - probability of tails.   P=30.3752*(1/2)^2*(1/2)^1=3/8= 
3/8 = 3/8 = around 0.375
0.375   ANSWER:0.375
Answer: C
If E = x% of y and B = y% of x, then which of the following is true? Select the correct option:
A) 1) E is smaller than B.
B) 2) E is greater than B
C) 3) Relationship between E and B cannot be determined.
D) 4) If x is smaller than y, then E is greater than B.
E) 5) None of the above

Solution: Basically 5) None of the above = B = xy/100   None of the options mentions this; hence 5) None of the above.
Answer: E
Which of the following cannot be the range of a set consisting of 5 odd multiples of 15?	Choices
A) 60	B) 120	C) 180	D) 324	E) 240

Solution: Solution: sequence of 15 lets say sequence is 15n, 15(n+1), 15(n+2), 15(n+3), 15(n+4)   so range is 15n+60-15n = 60   if we put the different values of n we will get different but the range will be multiple of 60   and only 324 is not multiple of 60   Ans: 32415 +60-15= 
15 +60-15 = 60
60   if we put the different values of n we will get different but the range will be multiple of 60   and only 324 is not multiple of 60   Ans: 324
Answer: D
If the area of a circle is 16pi square feet, find its circumference.	Choose the correct choice from the following answers:
A) 8 pi feet B) 28 pi feet C) 38 pi feet D) 48 pi feet E) 58 pi feet

Solution: The area is given by pi *r* r. Hence   pi * r *r = 16 pi   r * r = 16; hence r = 16 feet   The circumference is given by   2 * pi * r = 2 * pi * 4 = 8 pi feet   correct answer 8 pi feet
Answer: A
A number is doubled and 9 is added. If resultant is trebled, it becomes 63. What is that number Choose the correct choice from the following:
A) 6 B) 10 C) 12 D) 14 E) 15

Solution: Explanation:   => 3(2x+9) = 63   => 2x+9 = 21   => x = 6   6nswer: Option 6
Answer: A
How long does a train 100 m long traveling at 60 kmph takes to cross a bridge of 170 m in length? Choices:
A) sec
B) sec
C) sec
D) sec
E) sec

Solution: sec = 100 + 170= 
100 + 170 = 270
270 m   S= 60 * 5/18 = 50/3   T = 270 * 3/50= 
270 * 3/50 = 81/5 = around 16.2
16.2 sec   Answer: sec
Answer: D
Find the fourth proportional to 2.6, 4.6 and 7.6?
Choose the correct option:
A) 13.45  B) 15  C) 15.45  D) 15.85  E) 16

Solution: Formula = Fourth propotional = (b Ã— c)/a   13.45 = 2.6 , B = 4.6 and C = 7.6   (4.6 Ã— 7.6)/2.6 = 13.45   13.45
Answer: A
The population of a town is 45000; 5/9th of them are males and the rest females 40% of the males are married. What is the percentage of married females?  Choose the correct choice:
A) 60%  B) 50%  C) 45%  D) 40%  E) 30%

Solution: Male = 45,000* 5/9 = 25,000   Female = 45,000* 4/9 = 20,000   Married Male = 25,000* 40/100 = 10,000   Married Female = 10,000   20,000 ------------ 10,000   100 ------------- ? => 50%   ANSWER:50%
Answer: B
A fruit seller had some apples. He sells 60% apples and still has 300 apples. Originally, he had:	Select the correct option
A) 656 apples
B) 700 apples
C) 750 apples
D) 780 apples
E) 800 apples

Solution: A fruit seller had some apples. He sells 60% apples and still has 300 apples. Originally, he had:   A.   656 apples   B.   700 apples   C.   750 apples   D.   780 apples   800 apples   Answer: Option D   Explanation:   Suppose originally he had x apples.   Then, (100 - 60)% of x = 300.   40/100 x x = 300   100   x = (300 x 1000)/40 = 750.   ANSWER :750 apples
Answer: C
If line L passes through point (m, n) and (– m, – n), where m and n are not 0, which of the following must be true?
I.	The slope of L is positive
II.	The slope of L is need not be negative
III.	L exactly passes through 2 quadrants  Choices:
A) I only
B) II only
C) III only
D) I and II only
E) II and III only

Solution: Let (m,n) = (2,3)   (-m,-n) = (-2,-3)   Slope = (3+3)/(2+2) = 6/4 = 3/2   So II may be true   Let (m,n) = (2,-3) then (-m,-n) = (-2,3)   So slope = (3 +3)/(-2-2) = -3/2   so I may not be true   So such a line would be -> (y - 3) = 3/2(x - 2)     -  (  - 3)= 
  -  (  - 3) = 3
3/2(x - 2)=> 2y - 6 = 3x - 6   => 2y - 3x = 0, hence no x or y intercept, so it passes through origin.   III is true.   Answer - I and II only
Answer: D
The cost of an article is decreased by 50%. If the original cost is $200, find the decrease cost.  Choose the correct choice:
A) 330
B) 200
C) 150
D) 100
E) 91

Solution: Original cost = $200   100ecrease in it = 50% of $200   = 50/100 Ã— 200   = 10000/100= 
10000/100 = 100
$100   Therefore, decrease cost= $200 - $100 = $100   Answer:100200 -  100= 
200 -  100 = 100
$100   Answer:100
Answer: D
A train 220 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choose the correct choice
A) 5  B) 6  C) 7  D) 12  E) 9

Solution: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr   [66 * 5/18] m/sec = [55/3] m/sec.   Time taken to pass the man = [220 * 3/55= 
220 * 3/55 = 12
12 sec   Answer: Option 12
Answer: D
A square, with perimeter 32, is inscribed in a circle. What is the area of the circle?  Pick
A) 22π	B) 28π	C) 32π	D) 30π	E) 36π

Solution: Area of circuscribed circle = pi/2*area of square   Area of square = (32/4)^2 = 8^2= 64   Area of circle = pi/2*64=32pi   Answer 32π
Answer: C
Number between 1 to 301. Find the non prime numbers is not divisible by 2,3,5,7.
Choose the correct choice from the following answers:
A) 10
B) 12
C) 15
D) 18
E) 20

Solution: 11*11= 
11*11 = 121
121   11*13= 
11*13 = 143
143   11*17= 
11*17 = 187
187   11*19= 
11*19 = 209
209   11*23= 
11*23 = 253
253   11*29= 
11*29 = 319
319 which is not in range of 1-301 so we cant conider it    13*13= 
 13*13 = 169
169   13*17= 
13*17 = 221
221   13*19= 
13*19 = 247
247   13*23= 
13*23 = 299
299   17*17= 
17*17 = 289
289   17*19= 
17*19 = 323
323 which is not in range of 1-301 so we can't consider it   So total possible numbers are 10   10NSWER:10
Answer: A
A circular road runs round a circular ground. If the difference between the circumferences of the outer circle and inner circle is 66 metres, the width of the road is: Select the correct option:	A) 5.25m	B) 7m	C) 10.5m	D) 21m	E) 22m

Solution: 2π(R-r)=60 => 2*22/7 * (R-r)=60.   Therefore, (R-r)= (66*7/44)= 
(66*7/44) = 21/2 = around 10.5
10.5m   ANSWER:10.5m
Answer: C
f the sum of a list of consecutive odd integers is 5, which of the following could be true?
I. The average (arithmetic mean) of the list is equal to 5.
II. The median of the list is equal to 5.
III. The range of the list is equal to 5.	Choose the correct choice
A) None	B) I only	C) II only	D) I and II	E) I and III

Solution: Let the numbers be x-4, x-2, x , x+2, x+ 4 and given sum of all 5 number is 5, which is 5x = 5 and meaning x is 1   So the list is -3, -1, 1, 3, 5   I) NoneM of the list is 1 not 5, so eliminate   II) median is 1, not 5 , so eliminate   III) range is  5 - -3= 
 5 - -3 = 8
8, not 5, so eliminate   Nonenswer is None, None
Answer: A
In one hour, a boat goes 6 km along the stream and 2 km against the stream. the sped of the boat in still water (in km/hr) is : Choose the correct choice from the following answers: A) 4 B) 5 C) 8 D) 9 E) 10

Solution: Solution   Speed in still water= 1/2(6+2) km/hr= 4kmph. 4nswer 4
Answer: A
Look at this series: 2, 6, 18, 54, ... What number should come next?  Answers.
A) 155  B) 172  C) 143  D) 174  E) 162

Solution: E   162   This is a simple multiplication series. 162ach number is 3 times more than the previous number.
Answer: E
If 13 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes? Answers:
A) 10•9•8•7•6•5•4•3•2•1 B) 10•10 C) 78 D) 45 E) 36

Solution: We got #13 people who shake each other's hands once ==> a pair of 2   13!/11!2! = 13*12 / 2*1= 
13*12 / 2*1 = 78
78.   Hence answer 78.
Answer: C
On a track for remote controlled racing cars, racing car A completes the track in 59 seconds, while racing car B completes it in 35 seconds. If they both start at the same time after how many seconds will they be side by side again. Options
A) 275
B) 325
C) 2065
D) 425
E) None of these

Solution: Time required in seconds will be L2065M ( 35, 59 ) = 2065   Hence, answer will be (2065) 2065
Answer: C
The average salary/head of all the workers in a workshop is Rs.1000, if the average salary/head of 10 technician is Rs.1200 and the average salary/head of the rest is Rs.820, the total no. of workers in the work-shop is ? Choose the most appropriate option:
A) 120/9 B) 140/9 C) 150/9 D) 190/9 E) 170/9

Solution: Let the total number of workers be y.So sum of salary for all workers = sum of salary of 10 technician + sum of salary for other y -10 workers.10 x 1200 + 820(y -10) = 1000 y⇒ 12000 + 820y - 8200 = 1000y⇒ 180y = 3800∴ y = 190/9 So total number of workers = 190/9 190/9
Answer: D
A car travels at a speed of 65 miles per hour. How far will it travel in 8 hours?	Choose the correct choice:
A) 125 miles
B) 225 miles
C) 520 miles
D) 425 miles
E) 525 miles

Solution: During each hour, the car travels 65 miles. For 8 hours it will travel   65 + 65 + 65 + 65 + 65+ 65 + 65 + 65 = 8 × 65 = 520 miles   correct answer is 520 miles) 520 miles
Answer: C
If it takes 6 identical printing presses exactly 4 hours W to print 5,000 newspapers, how long would it take 3 of these presses to print 3,000 newspapers? Pick one:  A) 3 hours, 20 minutes  B) 4 hours, 20 minutes  C) 4 hours, 48 minutes  D) 5 hours, 48 minutes  E) 6 hours, 50 minutes

Solution: 6 presses - 5,000 newspapers - 4 hours ;   3 presses - 2,500 newspapers - 4 hours ;   3 presses - 3,000 newspapers - 4 hours + 1/5*4 hours = 4 hours, 48 minutes (since 2,500+1/5*2,500=3,000) = W.   Answer: 4 hours, 48 minutes.
Answer: C