MU-NLPC/Calc-aqua_rat huggingface dataset:
Two trains are traveling on a collision course. If train A is traveling at a speed of 350 mph and train B is traveling 28% slower, how much time will it take the trains to collide if the initial distance between the two is 1505 miles? Select.
A) Two hours and 30 minutes B) One hour and 10 minutes C) Two hours and 25 minutes. D) Three hours and 15 minutes E) Four hours and 20 minutes

Solution: let S1 and S2 be the speeds of train A and B   S1 is 350 and S2=28% less = 252   time taken = S1+S2/1505   which is   1505/602 =x   where 2<x<3   therefore Two hours and 25 minutes. !!
Answer: C
The average of first nine prime numbers:  Choose one:
A) 5.6	B) 11.1	C) 12.9	D) 6.3	E) 7.4

Solution: Explanation:   The first ten prime numbers is 2, 3, 5, 7, 11, 13, 17, 19, 23   Average = 100/9 = 11.11   Answer: Option 11.1
Answer: B
How many two-element subsets of <1, 2,3,4,5,6,7,8,9> are there that do not contain the pair of elements 2 and 4?	Answers: A) 21 B) 22 C) 24 D) 35 E) 36

Solution: 9C2 - 1 = 35 Answer is 35
Answer: D
John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Choices
A) 16%	B) 16.66%	C) 18%	D) 19%	E) 21%

Solution: Increase = (10/60)*100 = (1/6)*100 = 16.66%.   16.66%
Answer: B
One ton has 2600 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons?  Answers.
A) 2080	B) 1700	C) 2350	D) 2500	E) 8000

Solution: 16 pounds and 4 ounces= 16*16 + 4= 
16*16 + 4 = 260
260 ounces.   13 tons= 13*2600 pound = 13*2600*16 ounces.   Hence the answer is   (13*2600*16)/260= 
  (13*2600*16)/260 = 2_080
2080.   2080nswer: 2080.
Answer: A
When the price of a pressure cooker was increased by 15%, the sale of pressure cookers decreased by 15%. What was the net effect on the sales?
Choose the correct choice from the following:
A) 15% decrease
B) no effect
C) 2.25% increase
D) 2.25% decrease
E) None of these

Solution: Net effect on sale = −(common%change)2/100   = −(15)2/100= 2.25% decrease   Answer 2.25% decrease
Answer: D
There are 43 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station?	Choose the correct choice from the following options.
A) 1980
B) 1920
C) 1990
D) 1890
E) 1900

Solution: The total number of stations= 45   From 45 Stations we have to choose any two stations and the direction of travel (Ernakulam to Chennai is different from Chennai to Ernakulam) in 45P2 ways.   45P2= 45*44= 870   1980NSWER:1980
Answer: A
What is the average of 1200, 1300, 1400, 1510, 1520, 1530, 1115, 1120, and 1125?  Choose the correct choice:
A) 1345  B) 1334  C) 1313.33  D) 1350  E) 1325

Solution: Add 1200, 1300, 1400, 1510, 1520, 1530, 1115, 1120, and 1125   Grouping numbers together may quicken the addition   sum = 11820   11820/9 =1313.33   1313.33
Answer: C
What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?  Choose the correct answer:
A) 17	B) 42	C) 46	D) 54	E) 56

Solution: According to remainder theorem when dfracf(x)x+adfracf(x)x+a, then the remainder is f(−a)f(−a).   In this case, as x+3x+3 divides x3+4x2−7x+12–kx3+4x2−7x+12–k perfectly (kk being the number to be subtracted), the remainder is 0 when the value of xx is substituted by -3.   i.e., (−3)3+4(−3)2−7(−3)+12−k=0(−3)3+4(−3)2−7(−3)+12−k=0   or −27+36+21+12=k−27+36+21+12=k   or k=k= 42   42
Answer: B
1, 3, 4, 7, 11, 18, 29, ?
What number should replace the question mark? Choose the correct answer:	A) 33	B) 54	C) 24	D) 35	E) 47

Solution: 47   47   47ach number is the sum of the previous two numbers, ie  18 + 29= 
 18 + 29 = 47
47.
Answer: E
It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 110 cubic metres in 10 minutes. The inner radius of the pipe should be : Choose the correct choice from the following answers:
A) √2 m  B) 2 m  C) 1⁄2 m  D) 1⁄√2 m  E) None of these

Solution: Let inner radius of the pipe be r.   Then, 110 = 22⁄7 × r2 × 7 × 10   or r2=110/22×10=1/2   or r = 1/√2 m   Answer 1⁄√2 m
Answer: D
The cost of a car is 400% greater than the cost of a bike. If there is an increase in the cost of the car is 15% and that of bike 20%. Then the total increase in the cost of the 5 cars and 10 bikes is:
Choose the most appropriate option:
A) 17.5%	B) 16(3/7)%	C) 18.5%	D) 18.25%	E) None

Solution: Solution: Let the bike's initial cost be X and then car's initial cost be 5X.   After the increase,   Bike price = 1.2X   Car price = 5.75X   Initial total cost of 5 cars and 10 bikes,   = 25X+10X = 35X   New cost,   25 +10= 
25 +10 = 35
35X   New cost,= 28.75X+12x = 40.75X   Change in cost 28.75 +12= 
28.75 +12 = 40.75
40.75X   Change in cost= (40.75X-35X) = 5.75X   % change (40.75 -35 )= 
(40.75 -35 ) = 5.75
5.75X   % change= (5.75X*100)/35 = 16(3/7)%.   Answer: Option 16(3/7)%
Answer: B
What is the area of square field whose side of length 17 m? Choose the most appropriate option:
A) 225
B) 662
C) 772
D) 289
E) 21

Solution: 17 * 17= 
17 * 17 = 289
289 sq m   Answer:289
Answer: D
Last year John earned m dollars at company X and was promised an n-percent raise for this year. If John is paid the promised amount and a $10,000 bonus at the end of this year, by what percent has his total salary(including his bonus) increased this year over last in terms of n and m?	Select.
A) (mn + 10000)/m % B) (n + 10000)/m % C) (mn + 100,000)/100m % D) (mn + 1,000,000)/100m % E) (mn + 1,000,000)/m %

Solution: Old Salary = m dollars   New salary = M (1 + n/100) + 10,000   Net increase = m*n/100 + 10,000   Percentage change = (mn/100 + 10,000)*100/m   = (mn + 1,000,000)/m%   Answer: (mn + 1,000,000)/m %.
Answer: E
Manoj borrowed Rs.3450 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?  Choices
A) 5352 B) 5355 C) 5328 D) 5312 E) 5128

Solution: Let the sum lent by Manoj to Ramu be Rs.P.   Amount gained by Manoj = P. 3.9 /100 = 3450.3.6/100 = Rs.824.85   27P = 62100 = 82485   P = (82485 + 62100)/27 = 3055 + 2300 = Rs.5355   Answer: 5355
Answer: B
In a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend?	Choose the correct choice from the following choices.
A) 23504
B) 34545
C) 55053
D) 23434
E) 23456

Solution: Explanation:   120 * 456 + 333= 
120 * 456 + 333 = 55_053
55053   55053
Answer: C
A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?	Choose one:
A) 27 hrs	B) 29 hrs	C) 28 hrs	D) 90 hrs	E) 98 hrs

Solution: 1/9 - 1/x = 1/10   => 90 hrs   Answer:90 hrs
Answer: D
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 50000, then the share of B is?  Choose the correct choice from the following answers:
A) 23077	B) 24000	C) 24005	D) 24009	E) 24002

Solution: Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6   Total profit = Rs. 50000   Share of B = 6/13 (50000) = Rs. 23076.92~ 23077   23077nswer: 23077
Answer: A
What percent of 14 is 14 percent of 1? Choose the correct option.
A) 0.001 B) 0.01 C) 0.1 D) 101 E) 1

Solution: 14 % of 1 = (14/100) * 1 = 14/100   To determine what percentage of 14 this is :   [14][/100*14] *100 = 1%   Ans : 1
Answer: E
A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1628?
Select the correct option: A) s.109 B) s.108 C) s.110 D) s.103 E) s.102

Solution: 3x 4x 5x   6 9 4   18x + 36x + 20x = 1628   74x = 1628 => x = 22   5x = 110 Rs.   Answer:s.110
Answer: C
In the line xy plane line m has the equation y = 3x - 9, then the line m passes through which of the following points?  Choose the correct answer: A) (3, 1) B) (3, 4) C) (4, 2) D) (6, 9) E) (6, 15)

Solution: Yes it is y=3x-8....extremely sorry for mistake....   IF that's the case then answer is (6, 9)   y=3x-8   9=3X6-9   9=18-9   9=9 (satisfied)
Answer: D
10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?	Choose the correct choice:	A) 4 hours a day	B) 5 hours a day	C) 6 hours a day	D) 7 hours a day	E) 8 hours a day

Solution: Explanation:   More Men, Less Hours {Indirect Proportion}   Less Days, More Hours {Indirect Proportion}   [men 15 10   days 12 18] ::6:x   =>x∗15∗12=10∗18∗6   =>x=10∗18∗6/ 15∗12   =>x=6   Option 6 hours a day
Answer: C
If p is an odd integer, which of the following must also be odd?
Options.
A) 4p + 4  B) p + p  C) 3p + 3  D) 2p + p  E) p^2 + 1

Solution: Things to keep in mind:   Odd + odd = even   Odd + even = odd   Odd*odd = odd   Odd*even = even   On checking each option   A. 4p + 4   4p = even, 4p + 4 = even + even = even.   B. p + p   Odd + odd = even. This will be even   C. 3x + 3   3x = odd, 3x + 3 = odd + odd = even   D. 2p + p   2p = even, 2p + p = even + odd = odd   E. p^2 + 1   p^2 = odd, p^2 + 1 = odd + odd = even   Correct option: 2p + p
Answer: D
In a LAB experiment, a 100 ml compound of element X and element Y needs to be increased to 240 ml by adding some quantity of element X, and some quantity of element Y. If the original compound contains 30% of element X, how much (in ml) of element Y must be added so that element X will be exactly one third of the resulting mixture ?
Choose the correct option.
A) 40 ml	B) 100/3 ml	C) 20 ml	D) 90 ml	E) 10 ml

Solution: There are 0.3*100= 
0.3*100 = 30
30 ml of element X in the initial solution.   We need X to be 1/3rd of 240 ml in the resulting solution, so 80 ml. Thus out of 140 ml of solution added, 50 must be X (in order it to become 80 ml) ans the remaining 90 must be Y.   Answer: 90 ml
Answer: D
The ratio of men to women in the Snyder community choir is 4 to 5. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many men's are in the Snyder choir?
Choose one:
A) 20
B) 25
C) 30
D) 33
E) 34

Solution: This question has a number of patterns in it that we can take advantage of. We can also TEST THE ANSWERS (but we can actually eliminate most of the answer choices rather quickly.   We're told that the ratio of the Men to Women in the Snyder choir is 4 to 5, so the number of men MUST be a multiple of 4 and the number of women MUST be a multiple of 4 The question asks how many MEN are in the SNYDER choir, so the answer MUST be a multiple of 4. We can eliminate Answers B,C, D and E (since they're NOT multiples of 4.   20nswer 20
Answer: A
From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 25 percent. What percent of the stockâ€™s 2007 starting price was the price of the stock at the end of 2009?  Select the correct option.
A) 80
B) 90
C) 95
D) 100
E) 112.5

Solution: Assume a value at the beginning of 2007. As this is a % question, assume P=100.   At the end of 2007 it becmae = 1.2*100= 
1.2*100 = 120
120   At the end of 2008 it decreased by 25%= 120*.75= 
120*.75 = 90
90   At the end of 2009 it increased by 25%= 90*1.25= 
90*1.25 = 112.5
112.5   Thus ratio= 112.5/100= 
112.5/100 = 1.125
1.125 (in % terms= 12.5%). Thus 112.5 is the correct answer.
Answer: E
Joey is planning to throw a small party and for that he needs to do the following tasks:
I. Decide guest list
II. Send invites
III. Arrange catering
IV. Decide the venue
V. Rent a music system
The tasks can be done in any order as long as the invites are sent after the guest list is decided. In how many ways can Joey do the five tasks listed above?  Answers
A) 24 B) 48 C) 60 D) 120 E) 240

Solution: These 5 tasks can be arranged in 5! = 120 ways. In half of them invites are sentafterthe guest list is decided and in half of them before. So, there are total of   120/2= 
  120/2 = 60
60 ways to arrange the task so that the invites are sent after the guest list is decided.   Answer: 60.
Answer: C
Operation # is defined as: a # b = 4a^2 + 4b^2 + 8ab for all non-negative integers. What is the value of (a + b) + 6, when a # b = 100? Pick one:
A) 5  B) 8  C) 10  D) 11  E) 17

Solution: OFFICIAL SOLUTION:   (B) We know that a # b = 100 and a # b = 4a² + 4b² + 8ab. So   4a² + 4b² + 8ab = 100   We can see that 4a² + 4b² + 8ab is a well-known formula for (2a + 2b)². Therefore   (2a + 2b)² = 100.   (2a + 2b) is non-negative number, since both a and b are non-negative numbers. So we can conclude that 2(a + b) = 10. (a + b) + 6 = 10/2 + 6= 
10/2 + 6 = 11
11.   The correct answer is 11.
Answer: D
In a two-digit, if it is known that its unit’s digit exceeds its ten’s digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:  Select the correct option
A) 24
B) 26
C) 42
D) 46
E) None

Solution: EXPLANATION   Let the ten’s digit be x.   Then, unit’s digit = x + 2.   Number = 10x + (x + 2) = 11x + 2.   Sum of digits = x + (x + 2) = 2x + 2.   (11x + 2)(2x + 2) + (  + 2)= 
+ (  + 2) = 2
2x + 2.   (11x + 2)(2x + 2)= 144   22x2 + 26x – 140 = 0   11x2 + 13x – 70 = 0   (x – 2)(11x + 35) = 0   x = 2.   Hence, required number = 11x + 2 = 24.   24nswer 24
Answer: A
If a pipe can fill a tank in 6 hours, find the part of tank it fills in one hour.
Pick:
A) 1/6	B) 2/3	C) 1/2	D) None of these	E) Cannot be determined

Solution: Explanation:   Let the capacity of the tank be C litres.   Time to fill the tank = 6 hours   Hence, in 1 hour C/6 litres gets filled.   Therefore, 1/6th part of the tank gets filled in one hour.   1/6NSWER 1/6
Answer: A
On the xy co-ordinate plane, point C is (5,-2) and point D is (-1,2). The point on line segment CD that is twice as far from C as from D is:	Choose the correct choice
A) (1,-1)
B) (1,1)
C) (2,0.25)
D) (3,0.5)
E) (3,1)

Solution: We want the point on the line that is twice as far from C as it is from D. We can examine the x and y coordinates separately since they are independent.   *It should be noted that there are two solutions to this problem, one point between C and D, and another point with D in the middle of C and the point. We can quickly look at the answer choices and see that all the points are between C and D, therefore we can search for that point using the following method:   Taking the x-coordinate first, the distance between C and D is |(x-coordinate of C) - (x-coordinate of D)|= |5 - (-1)= 
5 - (-1) = 6
6   The x-coordinate that is twice as far from C as it is from D (and in between C and D) will be 4 units from C and 2 units from D. So the x coordinate of the point we're looking for is  5-4= 
 5-4 = 1
1, or  (-1)+2= 
 (-1)+2 = 1
1.   Now looking at the y-coordinate, we do the same thing. The distance between C and D is |(-2) - 2.5|= 4.5   The y-coordinate that is twice as far from C as it is from D (and in between C and D) will be 3 units from C and 1.5 units from D. So the y coordinate of the point we're looking for is  (-2)+3= 
 (-2)+3 = 1
1, or  2.5-1.5= 
 2.5-1.5 = 1
1.   So now we have our coordinates of the point on the line that is twice as far from C as it is from (3,0.5): (3,1)   Answer: (3,0.5)
Answer: D
The table below shows the enrollment in various classes at a certain college.
Class | Number of Students
Biology | 80
Physics | 35
Calculus | 40
Although no student is enrolled in all three classes, 15 are enrolled in both Biology and Physics, 10 are enrolled in both Biology and Calculus, and 12 are enrolled in both Physics and Calculus. How many different students are in the three classes?  Choose the correct option
A) 118  B) 88  C) 90  D) 125  E) 162

Solution: No. of total students = no of students of biology + no of students of physics but not biology + no of students of calculus but not biology and physics   No. of total students = 80 + (35-15) + (40-10-12) = 80+20+18= 
80+20+18 = 118
118   Hence, 118nswer will be 118.
Answer: A
If the integer n has exactly five positive divisors, including 1 and n, how many positive divisors does n^2 have?  Select:
A) 5 B) 7 C) 9 D) 10 E) 11

Solution: take the example of 16...   it has 5 positive divisors (1,2,4,8,16)   Now, take the example of 256...   it has only 9 divisors..   so 9 is the ans
Answer: C
A man sitting in a train which is traveling at 56 kmph observes that a goods train, traveling in opposite direction, takes 15 seconds to pass him. If the goods train is 410 m long, find its speed  Answers:
A) 52 kmph	B) 56 kmph	C) 58 kmph	D) 42 kmph	E) 72 kmph

Solution: Explanation:   Relative speed = 410/15 m / sec = ((410/15)×(18/5)) kmph = 98 kmph.   Speed of goods train = (98 - 56)= 
(98 - 56) = 42
42 kmph   Answer: Option 42 kmph
Answer: D
The bus that travels from St. Louis to Chicago and back comes to St. Louis every 3 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 7 hours. If at 01:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again?	Choose the correct choice from the following answers.
A) 16:00.	B) 18:00.	C) 20:00.	D) 22:00.	E) 24:00.

Solution: Time taken by bus to travel from St. Louis to Chicago and back comes to St. Louis = 3 hours   Time taken by bus to travel from St. Louis to Springfield and back comes to St. Louis = 7 hours   Time taken by both buses to meet again in St. Louis will be LCM of 3 and 7 = 21   If the buses start at 01:00 o'clock from St. Louis , they will meet again in St. Louis at 22:00 hours   Answer 22:00.
Answer: D
The average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 25, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school?  Answers:	A) 20	B) 21	C) 22	D) 23	E) 24

Solution: 39x = 25 + 12 + 15 + 19 + (x – 4)44   39x = 71+44X-176   5X=105   X=21   ANSWER:21
Answer: B
A shop stores x kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. Thereafter, no rice is left in the shop. Which of the following best describes the value of x?	Choose the correct choice.
A) 2 ≤ x ≤ 6 B) 5 ≤ x ≤ 8 C) 9 ≤ x ≤ 12 D) 11 ≤ x ≤ 14 E) 13 ≤ x ≤ 18

Solution: Explanation :   Initial quantity of the rice = x.   The first customer buys half the total rice and another half kg.   Rice purchased by first customer = (x/2) + (1/2)   So, rice left after the first customer =x - (x+1)/2 = (x-1)/2.   Now the second customer buys half the left rice and another half kg.   Rice purchased by second customer = (x-1)/4 + (1/2) = (x+1) / 4.   So, rice left after the second customer = (x-1)/2 - (x+1)/4 = (x-3)/4.   Now the third customer buys half the left rice and another half kg.   Rice purchased by third customer = (x-3)/8 + (1/2) = (x+1)/8.   So, rice left after the second customer= (x-3)/4 -(x+1)/8 = (x-7)/8   Given that (x-7) / 8 = 0 => x=7.   Answer : 5 ≤ x ≤ 8
Answer: B
If a - b = 3 and a(power 2) + b(power 2) = 23, find the value of ab. Choose the correct option
A) 5  B) 8  C) 7  D) 10  E) 3

Solution: 2ab = (a(power 2) + b(power 2) - (a - b)(power 2)   = 23 - 9= 
23 - 9 = 14
14   ab= 7.   Answer is 7.
Answer: C
A soft drink company had 6000 small and 10000 big bottles in storage. If 12% of small15% of big bottles have been sold, then the total bottles remaining in storage is	Choose the correct option
A) 15360	B) 13780	C) 15060	D) 14930	E) 16075

Solution: 6000 + 10000 - (0.12*6000 + 0.15*10000)= 
6000 + 10000 - (0.12*6000 + 0.15*10000) = 13_780
13780.   Answer: 13780.
Answer: B
1,2,3,4,5,6,7 are arranged in order of sum of consecutive numbers is prime number,how many ways we can arrange
Choose the correct choice from the following choices:	A) 1	B) 2	C) 3	D) 4	E) 5

Solution: 1+2= 
1+2 = 3
3 (Prime no)   2+3= 
2+3 = 5
5 (Prime no)   3+4= 
3+4 = 7
7 (Prime no)   5+6= 
5+6 = 11
11 (Prime no)   6+7= 
6+7 = 13
13 (Prime no)   ANSW5R:5
Answer: E
The length of a train and that of a platform are equal. If with a speed of 54 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?	Choose the correct answer:
A) 299  B) 266  C) 450  D) 750  E) 261

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec; Time = 1 min. = 60 sec.   Let the length of the train and that of the platform be x meters.   Then, 2x/60 = 15 => x = 15 * 60 / 2= 
15 * 60 / 2 = 450
450   Answer: 450
Answer: C
There are 4 boys and 3 girls seated in a row.Find the probability that all girls are together?  Choose the correct choice from the following.
A) 1/6 B) 1/7 C) 2/7 D) 3/7 E) 4/7

Solution: Total No. of ways boys and girls can be seated = (4 + 3)= 
(4 + 3) = 7
7!= 5040   No. of ways that girls seated together =>   consider 3 girls as a unit nd remaining 4 boys can be seated in any order...   So (1 + 4)= 
(1 + 4) = 5
5!= 120   And those 3 girls can be seated among themselves in 3! ways => 6   [(ie) Let g1,g2,g3 be the girls... in 6 ways they can be seated together...   g1g2g3, g1g3g2, g2g1g3, g2g3g1, g3g1g2, g3g2g1]   So prob. that all girls are together => (120 * 6)/5040 => 1/7   ANSWER:1/7
Answer: B
Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit? Choose the correct choice from the following answers.
A) 10000 B) 12000 C) 13000 D) 14000 E) 30000

Solution: SoL = ~s- So Anju’s share = [5/9] x 54000 = 30000   30000
Answer: E
A trailer carries 3, 4 and 5 crates on a trip. Each crate weighs no less than 1250 kg. What is the maximum weight of the crates on a single trip?  Choose the most appropriate option: A) 1250 B) 6250 C) 600 D) 7500 E) 375

Solution: Max No. of crates=5.   Max Weight=1250Kg   Max. weight carried = 5*1250= 
5*1250 = 6_250
6250Kg=6250
Answer: B
61,52,63,94,46,.......  Choose one
A) 15  B) 16  C) 17  D) 18  E) 19

Solution: Reverse the given numbers like,... 61 16 , 52 25 ...   16,25,36,49,64 these numbers are squares of 4,5,6,7,8 so next number is 9 and square of 9 is 81.   reverse of 81 is 18 so answer is 18 (61,52,63,94,46, 18 ) .   ANSWER:18
Answer: D
John takes 10 hours to complete a certain job, while Bill takes only 5 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job? Choose the correct choice from the following:
A) 2 hours, 20 minutes
B) 2 hours, 45 minutes
C) 3 hours, 20 minutes
D) 3 hours, 45 minutes
E) 4 hours, 10 minutes

Solution: The rate of John plus Bill is 1/10 + 1/5 = 3/10 of the job completed per hour.   If Steve worked at the same rate as John, the rate would be 3/10 + 1/10 = 2/5   The slowest possible time would be 2.5 hours.   If Steve worked at the same rate as Bill, the rate would be 3/10 + 1/5 = 1/2   The fastest possible time would be 2 hours.   The actual time is somewhere between these two extreme points.   The answer is 2 hours, 20 minutes.
Answer: A
A car covers a distance of 200km in 2 hours 40 minutes, whereas a jeep covers the same distance in 2 hours. What is the ratio of t Choose the correct choice from the following choices:  A) 3:4  B) 4:3  C) 4:5  D) 5:4  E) 8:7

Solution: 3:4 3:4
Answer: A