MU-NLPC/Calc-aqua_rat huggingface dataset:
If The GCD of two numbers (not equal, both integers, greater than 1) is 2, then which of the following can be true?
A. They are prime.
B. They are even.
C. They do not have a common prime factor.
D. They do not have a common factor other than 2.  Choices
A) Only A
B) Only B
C) Only C
D) Only D
E) Only B and D

Solution: The GCD of two numbers (not equal, both integers, greater than 1) is 2 means that they don't share factors other than 1 and 2.   This also means that both numbers are even ( divisible by 2.)   A. They are not prime. 2 is the only even number that is prime, so one number can be prime but the other number cannot be.   B. They are even. Since they are divisible by 2, they are even..   C. They have a common prime factor. The question defines the numbers as having a GCD of 2, which is prime.   D. They have a common factor other than 2. Both numbers have common factors of 2 and 1. For example:   The factors of 4 are 1 and 2, the factors of 6 are 1, 2, and 3.   Therefore, (Only B) is the only correct answer.
Answer: B
X can do a piece of work in 15 days. If he is joined by Y who is 50% more efficient, in what time will X and Y together finish the work?
Choose the correct choice from the following
A) 10 days
B) 6 days
C) 18 days
D) Data insufficient
E) None of these

Solution: X’s one day’s work = 1⁄15 th work.   Y’s one day’s work = 1⁄15 + 50% of 1⁄15 = 1⁄10 th work.   ∴ (X + Y)’s one day’s work = 1⁄15 + 1⁄10 = 1⁄6 th work.   Hence, they together finish the work in 6 days.   Answer 6 days
Answer: B
The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 7 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?	Choices.
A) 25	B) 35	C) 75	D) 80	E) 79

Solution: A + B + C = 3 *84= 
3 *84 = 252
252   A + B + C + D= 4 * 80= 
4 * 80 = 320
320 ---- (i)   So, D= 68& E = 68 + 7= 
68 + 7 = 75
75   B + C + D +E= 79 * 4= 
79 * 4 = 316
316 --- (ii)   From Eq. (i) & (ii)   A-79= 320 â€“ 316 = 4   A = 79 +4 = 75 + 4= 
75 + 4 = 79
79   79
Answer: E
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 6 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 hiring of these three people are possible? Options
A) 6 + 4 + 10
B) 6 × 4 × 10
C) 21 × 20 × 19
D) 6! + 4! + 10!
E) 6! × 4! × 10!

Solution: 1 sales manager can be selected out of 6 in 6 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 = 6 *4 * 10   Ans. 6 × 4 × 10) 6 × 4 × 10
Answer: B
In the first 10 overs of a cricket game, the run rate was only 4.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs? Choose the most appropriate option.
A) 6.25 B) 6.5 C) 6.75 D) 7 E) 6

Solution: 10 overs - run rate = 4.2   runs scored in first 10 overs = 42   remaining overs 40   total runs to be scored= 282   42 runs already scored 282-42= 
282-42 = 240
240   240 runs to be scored in 40 overs   let required runrate be x   40*x=240   x=240/40= 
240/40 = 6
6.0   the required runrate is 6.0   ANSW6R:6
Answer: E
A father left a will of 68,000 to be divided between his two sons aged 10 years and 12 years such that they may get equal amount when each attains the age of 18 years If the money is reckoned at 10% p.a., find how much each gets at the time of the will. Choose the correct choice from the following answers:  A) 30,000, 38,000  B) 28,000, 40,000  C) 32,000, 36,000  D) Cannot be determined.  E) None of these

Solution: Let one gets = x   then, second gets = (68,000 – x)   Given : A1 = A2   x+x×10×8/100=(68,000−x)+(68,000−x)×10×6/100   ⇒ x[100 + 80] = (68,000 - x)[100 + 60]   ⇒ 180⁄160x = 68,000 - x   ⇒ 34x = 68000 × 16 ⇒ x = 32000   ∴ second gets = 36,000   Answer 32,000, 36,000
Answer: C
The average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 55 kg. What is the weight of the new person?  Choose the correct choice from the following
A) 75 kg	B) 85 kg	C) 95 kg	D) 65 kg	E) 55 kg

Solution: The total weight increase = (8 x 2.5) kg = 20 kg   weight of new person = (55 + 20)= 
(55 + 20) = 75
75 kg   The answer is 75 kg.
Answer: A
Jack spent 1/6 of his lifetime in adolescence. His facial hair started growing after 1/12 more of his life. He successfully married his girlfriend Diana after 1/7 more of his life. Their son was born after 5 years from then. The son lived just 1/2 of what Jack lived. Jack dies four years after his son died.
How long did Jack live ? Answers:
A) 75  B) 90  C) 45  D) 80  E) 84

Solution: E   84   Explanation:   Let us assume that jack lived for p years.   p/6 + p/12 + p/7 + 5 + p/2 + 4 = x   => p = 84.   Therefore, Jack lived for 84 years.
Answer: E
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?  Choose the correct option:  A) 227  B) 277  C) 272  D) 150  E) 221

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time) = (50/3 * 9)= 
(50/3 * 9) = 150
150 m.   Answer: 150
Answer: D
In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Choose the correct choice from the following answers
A) 1/10 B) 2/5 C) 2/7 D) 5/7 E) None of these

Solution: Explanation:   P (getting a prize) =	10/(10 + 25)	=	10/35	= 2/7.   ANSWER : 2/7
Answer: C
Maths, Physics and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books. Among all the books, 12 books are soft cover and the remaining are hard-cover. If there are a total of 7 hard-cover books among the maths and physics books. What is the probability Q, that a book selected at random is either a hard cover book or a chemistry book?
Choose the correct choice from the following options:
A) 1/10
B) 3/20
C) 1/5
D) 1/4
E) 9/20

Solution: First phase of this problem requires you to determine how many mathematics and chemistry books are even on the shelf. To do so, you have the equations:   m + p + c = 20 (since 4/5 of the 25 spots are full of books)   m = 2p   p = 4 + c   From that, you can use Substitution to get everything down to one variable.   c = p - 4   m = 2p   p = p   Then (p - 4) + 2p + p = 20, so 4p = 24 and p = 6. That means that there are 12 math, 6 physics, and 2 chemistry books on the shelf.   With those numbers, you also know that there are 8 total hardcovers, 1 of which is chemistry. So if your goal is to get either a hardcover or a chemistry, there are 9 ways towin- either one of the 7 hardcovers that aren't chemistry or the two chemistry books. So out of the 20 total, Q=9 provide the desired outcome, making the answer 9/20.
Answer: E
Two trains A and B are 125 m and 150 m long and are moving at one another at 54 Km/hr and 36 Km/hr respectively. Arun is sitting on coach B1 of train A. Calculate the time taken by Arun to completely cross Train B. Choose the correct choice from the following answers:
A) 10 s B) 11 s C) 4 s D) 8 s E) 12 s

Solution: DETAILED SOLUTION   Speed of A = 54∗1000/60∗60 = 15 m/s   Speed of B = 36∗1000/60∗60 = 10 m/s   Relative speed = S1 + S2 = 15 + 10 m/s = 25 m/s   The length that needs to be crossed = length of train B = 150 m. Therefore time taken = 150/25= 
150/25 = 6
6s.   What is the time taken for trains to completely cross each other? The length that needs to be crossed= 125 + 150= 
125 + 150 = 275
275 m. Time taken= 275/25= 
275/25 = 11
11 s.   CORRECT ANSWER 11 s.
Answer: B
The length of the bridge, which a train 170 metres long and travelling at 45 km/hr can cross in 30 seconds, is? Pick one: A) 245 B) 777 C) 282 D) 266 E) 205

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (170 + x)/30 = 25/2 => 2(170 + x) = 750 => x = 205 m.   Answer: 205
Answer: E
A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?	Choose one.
A) 230 B) 277 C) 299 D) 267 E) 221

Solution: Relative speed = 120 + 80= 
120 + 80 = 200
200 km/hr.= 200 * 5/18 = 500/9 m/sec.   Let the length of the other train be x m.   Then, (x + 270)/9 = 500/9 => x = 230.230nswer:230
Answer: A
If the side length of Square B is five times that of Square A, the area of Square B is how many times the area of Square A?
Pick.
A) 5
B) 15
C) 25
D) 35
E) 45

Solution: Let x be the side length of Square A.   Then the area of Square A is x^2.   The area of Square B is (5x)^2=25x^2.   The answer is 25.
Answer: C
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue? Choose the correct choice:
A) 33/95 B) 33/91 C) 33/99 D) 33/96 E) 33/92

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is   = 12C4/15C4   = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12) = 33/91   Answer: 33/91
Answer: B
The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?	Choose the most appropriate option.
A) 44  B) 11  C) 12  D) 98  E) 58

Solution: x, 2x   (x-2):(2x-2) = 1:3   3x-6 = 2x-2   x = 4   x+2x = 3x   => 3*4= 
3*4 = 12
12   Answer: 12
Answer: C
Sum of 3 consecutive even no.'s is 30 more than the 1st no. of the series. Find the middle no.?
Choose one.
A) 8  B) 12  C) 14  D) 16  E) 18

Solution: Let the numbers be x, x+2 and x+4 then   x + x+2 + x+4 = x+30   3x + 6 = x + 30   2x = 24   \inline \therefore x = 12   \inline \therefore Middle number = x + 2 = 12+2= 
12+2 = 14
14   14
Answer: C
How many words can be formed by using all letters of the word “BIHAR”  Choose one
A) 452  B) 320  C) 365  D) 456  E) 120

Solution: The word BIHAR contains 5 different letters.   Required number of words = 5p5 = 5! = (5x4x3x2x1) = 120   Ans: 120
Answer: E
An investment yields an interest payment of $228 each month. If the simple annual interest rate is 9%, what is the amount of the investment?
Choose the correct choice from the following:  A) $28,300  B) $30,400  C) $31,300  D) $32,500  E) $35,100

Solution: Let the principal amount = P   Simple annual interest = 9%   Simple monthly interest = (9/12) = (3/4)%   (3/4)*(P/100) = 228   =>P = (228 *4 * 10^2 )/3   = 76*4*10^2   = 304 * 10^2   Answer $30,400
Answer: B
The average age of the boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is Options:
A) 18
B) 67
C) 02
D) Data inadequate
E) 23

Solution: Explanation:   Clearly, to find the average, we ought to know the number of boys, girls or students in the class, neither of which has been given.   So, the data provided is inadequate.   Answer: Data inadequate
Answer: D
A certain electric-company plan offers customers reduced rates for electricity used between 8 p.m. and 8 a.m. weekdays and 24 hours a day Saturdays and Sundays. Under this plan, the reduced rates W apply to what fraction of a week? Select the correct option.
A) 1/2 B) 5/8 C) 9/14 D) 16/21 E) 9/10

Solution: Number of hours between 8 PM to 8 AM = 12   Number of hours with reduced rates = (12*5)+(24*2)   Hours with reduced rates W/Total number of hours in a week = (12*5)+(24*2)/(24*7) = 108/(24*7) = 9/14   Answer: 9/14
Answer: C
If 10 toys cost Rs, 234, what do 35 toys cost?	Choices:
A) 645  B) 564  C) 546  D) 819  E) None of them

Solution: Let the required cost be Rs. x. Then,   More toys, More cost	(819irect Proportion)   x=(35 X 234)/10 =819   Answer is 819
Answer: D
What is the greatest positive integer n such that 3^n is a factor of 54^100?	Choose the correct choice from the following options.
A) 100
B) 200
C) 300
D) 600
E) 900

Solution: 54 = 3^3 * 2.   54^100 = 3^300 * 2^100   The answer is 300.
Answer: C
How many odd integers F between 200 and 600 are there such that their tens digit is even?
Options:	A) 20	B) 25	C) 100	D) 150	E) 200

Solution: The hundreds digit can take 4 values: 2, 3, 4 and 5;   The tens digit can take 5 values: 0, 2, 4, 6 and 8;   The units digit can take 5 values: 1, 3, 5, 7 and 9;   Total F:  4*5*5= 
 4*5*5 = 100
100.   Answer: 100.
Answer: C
In the presidential election, 55% of the people who voted, voted for the democratic candidate and 35% voted for the republican candidate. If 8% of the number of people eligible to vote, voted for neither the republican nor the democrat, what percent of people eligible to vote actually voted in the elections?	Choose one: A) 40 B) 60 C) 80 D) 88 E) 90

Solution: let people eligible to vote = y   people actually voted = x   Democratic = 0.55x   Republican = 0.35 x   total voters = 0.90 x   hence 0.10x voters who voted didnt voted for D and R.   now, 0.10 x = 0.08 y   => x/y = 8/10   hence 80%   Hence 80
Answer: C
If Sharon's weekly salary increased by 15 percent, she would earn $460 per week. If instead, her weekly salary were to increase by 10 percent, how much would she earn per week?
Choose the correct choice from the following choices:
A) Rs.400
B) Rs.440
C) Rs.150
D) Rs.460
E) Rs.520

Solution: Soln:-   460/115)110 =385   In this case long division does not take much time.   (4/1)110=Rs.440   ANSWER:Rs.440
Answer: B
In a certain village, n litres of water are required per household per month. At this rate, if there are m households in the village, how long (in months) will p litres of water last?  Choices:
A) p /m
B) P/mn
C) mp / n
D) np / m
E) npm

Solution: I find it much easier to understand with real numbers, so choose (almost) any numbers to replace m,n and p:   (p/m*n)   Answer (P/mn)
Answer: B
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%?	Select
A) 399	B) 700	C) 288	D) 500	E) 211

Solution: (x*5*1)/100 + [(1500 - x)*6*1]/100 = 85   5x/100 + 90 – 6x/100 = 85   x/100 = 5   => x = 500   Answer: 500
Answer: D
A city has a population of 3,00,000 out of which 1,80,000 are males. 50% of the population is literate. If 70% of the males are literate, the number of literate females is :	Choose the correct choice from the following choices.
A) 20,000	B) 24,000	C) 30,000	D) 34,000	E) 36,000

Solution: population - 3,00,000,   males -1,80,000,   females-1,20,000   50% of 3,00,000 literate - so 1,50,000 literate   70% of 1,80,000 literate -so 1,26,000 male literates , so rest s   1,50,000 - 1,26,000 = 24,000   ANSWER:24,000
Answer: B
If you write down all the numbers from 1 to 100, then how many times do you write 3 ?
Choose the correct choice from the following options:	A) 11	B) 18	C) 20	D) 21	E) 22

Solution: Explanation:   Explanation:   Clearly, from 1 to 100, there are ten numbers with 3 as the unit's digit- 3, 13, 23, 33, 43, 53, 63, 73, 83, 93; and ten numbers with 3 as the ten's digit - 30, 31, 32, 33, 34, 35, 36, 37, 38, 39.   So, required number = 10 + 10= 
10 + 10 = 20
20.   Answer: 20
Answer: C
The arithmetic mean of the scores of a group of students in a test was 42. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is? Choose the correct choice from the following choices
A) A)61.4.
B) B)51.7
C) C)33.18
D) D)51.1
E) E)51.2

Solution: Let the required mean score be x. Then,   20 * 80 + 25 * 31 + 55 * x = 42 * 100   = 1600 + 775 + 55x = 4200   = 55x = 1825   = x = 33.18   Answer:33.18
Answer: C
Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 1 : 2?
A. 48 kmph  Choose the correct choice:
A) 33
B) 360/7
C) 28
D) 27/8
E) 16

Solution: Let the distances between city A to B and B to C be x km and 2x km respectively.   Total time taken to cover from A to C   = (x)/40 + (2x)/60 = (3x + 4x)/120 = 7x/120 Average speed = (x + 2x)/(7x/120) = 360/7 kmph.   Answer: 360/7
Answer: B
If 22 men do a work in 55 days, in how many days will 10 men do it?
Choose the correct choice from the following options.
A) 121
B) 123
C) 119
D) 125
E) 127

Solution: 22 * 55 = 10 * x   x = 121 days   121nswer: 121
Answer: A
2 years ago, the average age of a family of 5 members was 16 years. After a baby is born, the average age of family is the same today. Find the present age of the baby.  Select.
A) 4 years	B) 6 years	C) 8 years	D) 8 ½ years	E) 9 years

Solution: Hint: (1) First find total age of 5 members 2 years ago (2) Present age of 5 members (3) Total age of 6 members (4) Age of baby = Total age of 6 members - Present age of 5 members   We know that,   Average =Sum of Quantities / Number of Quantities   1) First calculate total age of 5 members 2 years ago = (Average age of 5 members x number of members)   First calculate total age of 5 members 2 years ago = (16 x 5) = 80 years   2) Calculate the present age of 5 members   2 years ago, their total age was 80 years. Present age can be calculated as follows:   Present age of 5 members = [80 + (2 x 5)] = 90 years   3) Calculate total age of 6 members considering baby = (16 x 6 ) = 96 years   4) Age of baby = (96 – 90) = 6 years   ANSWER IS 6 years
Answer: B
A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?	Choose one.
A) 287
B) 276
C) 279
D) 646
E) 370

Solution: 840 = P [1 + (10*3)/100]   P = 646   Answer: 646
Answer: D
The cost of 10 kg of mangos is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is $25. Find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?
Choose the correct choice from the following:	A) 347	B) 987	C) 1070	D) 1371	E) 1667

Solution: Let the costs of each kg of mangos and each kg of rice be $a and $r respectively.   10a = 24r and 6 * 25 = 2r   a = 12/5 r and r = 75   a = 180   Required total cost = 4 * 180 + 3 * 75 + 5 * 25   = 720 + 225 + 125= 
720 + 225 + 125 = 1_070
$1070   1070
Answer: C
Seven years back, a father was 48 years older than his son. At present the father is 4 times as old as the son. How old will the son be three years from now?
Choose the correct choice from the following answers:	A) 16 years	B) 17 years	C) 18 years	D) 19 years	E) 20 years

Solution: Using linear equations to convert the word problem:   ** F = fathers current ageS = sons current age   #1 Seven years back, a father was 48 years older than his son: F-7 = 48 + (S - 7)   #2 At present the father is 4 times as old as the son: F = 4*S   How old will the son be three years from now?: S + 3 = ?   With two variables and two linear equations we are able to solve the problem:   (S*4) - 7 = 48 +S -7   3S=48   S = 16   S + 3 = 16 + 3= 
16 + 3 = 19
19   Answer: 19 years
Answer: D
Peeta asks Katniss, 'It is 10 9m as per my watch right now.Do you know what will be the time 23, 999, 996 hours later?'
Katniss knows the answer. Do you ? Choose the correct choice from the following choices
A) 5pm B) 6pm C) 4am D) 7pm E) 8pm

Solution: D   7pm   The time after 24, 000, 000 hours will be the same as it is now. We want the time 3 hours before that and thus you can deduct three hours from 9 pm. So the time will be 6 pm.
Answer: D
How many multiples of 7 are there between 700 and 1000, inclusive?
Pick one
A) 43 B) 42 C) 22 D) 21 E) 20

Solution: There are exactly 301 numbers between 700 to 1000..   701 to 800 = 100   801 to 1000 = 200...Total 300 numbers , count 700 too..   301/7 = 43...   43ns option 43.
Answer: A
The difference between the compound interest and simple interest accrued on an amount at the end of three years at the rate of 12% is Rs.381.888. What is the amount?  Select
A) Rs. 9500 B) Rs. 8400 C) Rs.8000 D) Rs.8200 E) Rs.8500

Solution: C.I = P[(1+R/100)T - 1]   = P[(1+12/100)3 - 1] = P[(28/25)3 - 1]   = P[(21952/15625) - 1]   = 6327P/15625   S.I = (P x 3 x 12)/100 = Rs. 9P/25   6327P/15625 - 9P/25 = 381.888   => 702P/15625 = 381.888   => P = (381.888 x 15625)/702   = Rs. 8500   ANSWRs.8500R IS Rs.8500
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 65 kg. What might be the weight of the new person?	Choose the correct choice from the following answers:
A) 75 kg
B) 85 kg
C) 95 kg
D) 65 kg
E) None of these

Solution: Explanation:   Total weight increased = (8 x 2.5) kg = 20 kg.   Weight of new person = (65 + 20)= 
(65 + 20) = 85
85 kg.   Answer 85 kg
Answer: B
A man has 1044 candles. After burning, he can make a new candle from 9 stubs left behind. Find the maximum number of candles that can be made.  Select.
A) 116	B) 120	C) 130	D) 140	E) None

Solution: Explanation :   Since, 1 candle is made from 9 stubs.   Therefore, from 1044 stubs, 1044/9 i.e 116 candles will be made.   Now, from 116 stubs, 116/9 i.e 12 candles can be made and 8 stubs will be left.   Thus, total stubs left is (12+8)= 
(12+8) = 20
20 out of which 20/9 i.e 2 candles can be made and 2 stubs will be left.   Thus, maximum number of candles that can be made is 130 (116+12+2).   Answer : 130
Answer: C
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 5 kg more than Peter. Together the three of them picked 29 kg of chestnuts. How many kilograms of chestnuts did Mary, Peter, and Lucy pick respectively?  Pick:
A) 6, 11 and 12
B) 12, 11 and 6
C) 11, 6 and 12
D) 12, 6 and 11
E) 6, 12 and 11

Solution: M = 2P   L = P+5   M + P + L = 29   2P + P + (P+5) = 29   P = 6, M = 12, L = 11   Therefore, Mary, Peter, and Lucy picked 12, 6, and 11 kg, respectively.   The answer is 12, 6 and 11.
Answer: D
A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 10min will be.  Choose the correct choice from the following choices:  A) 60 km/h  B) 55 km/h  C) 240 km/h  D) 70 km/h  E) 65 km/h

Solution: Time=50/60 hr=5/6hr   Speed=48mph   distance=S*T=48*5/6= 
48*5/6 = 40
40km   time=10/60hr=1/6hr   New speed = 40* 6/1= 
40* 6/1 = 240
240kmph   Answer : 240 km/h
Answer: C
Company P had 15 percent more employees in December than it had in January. If Company P had 450 employees in December, how many employees did it have in January?	Choose the correct answer:
A) 391
B) 392
C) 410
D) 423
E) 445

Solution: D = number of employees in December   J = number of employees in January   J x 1.15 = D   J x 1.15 = 450   J = 450/1.15   J = 45,000/115 = 392   Thus 392 is the correct answer.
Answer: B
Sum of 3 consecutive even no.'s is 26 more than the 1st no. of the series. Find the middle no.?  Choose the correct choice from the following answers:
A) 10 B) 12 C) 14 D) 18 E) 21

Solution: Let the numbers be x, x+2 and x+4 then   x + x+2 + x+4 = x+26   3x + 6 = x + 26   2x = 20   \inline \therefore x = 10   \inline \therefore Middle number = x + 2 = 10+2= 
10+2 = 12
12   12
Answer: B