MU-NLPC/Calc-aqua_rat huggingface dataset:
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work? Select.
A) 10
B) 5
C) 7
D) 14
E) 8

Solution: Work done by 1 woman in 1 day=1/70   Work done by 1 children in 1 day=1/140   Work done by 5 women =5*1/70=5/70   Work done by 10 children =10*1/140=10/140   Amount of work 5 women and 10 children take to complete =5/70+10/140=1/7   5 women and 10 children will complete the work in 7 days.   7
Answer: C
Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 4 hours? Options:
A) 2.4.
B) 3.6.
C) 4.2
D) 5.5
E) 6.4

Solution: W = 2 desks   T = 2.5 hrs   Rate of 2 carpenters = 2×R   Rate = work done/ time   2xR = 2/2.5   R = 1/2.5 = 2/5 (this is the rate of each carpenter)   Work done by 4 carpenters in 4 hrs = 4 × rate of each carpenter x time = 4× 2/5 × 4 = 6.4 desks   6.4 is the correct answer.
Answer: E
16 boys or 24 girls can construct the wall in 6 days. the number of days that 8 boys and 4 girls Will take to construct?	Pick one
A) 7 days  B) 14 days  C) 6 days  D) 8 days  E) 9 days

Solution: 9 daysxplanation:   16 boys =24 girls, 1 boy = 24/16 girls   1 boy = 6/4 girls   8 boys + 4 girls = 8 Ã— 6/4 + 12 = 12 + 4= 
12 + 4 = 16
16 girls   9 days to complete the work   Answer: Option 9 days
Answer: E
Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 60 and the turban. Find the price of the turban.  Choose the correct choice from the following choices:	A) 27	B) 30	C) 29	D) 10	E) 11

Solution: Let the price of turban be x.   Thus, for one year the salary = (90 + x)   For 9 months he should earn 3434 (90 + x).   Now he gets one turban and Rs. 60.   Thus, 3434 (90 + x) = 60 + x or 270 + 3x = 240 + 4x or x = 30   Answer:30
Answer: B
Pipe A can fill a tank in 6 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
Options:
A) 18
B) 27
C) 96
D) 27
E) 21

Solution: Let the pipe B be closed after x minutes.   30/6 - x/24 = 1 => x/24 = 30/6 - 1= 
30/6 - 1 = 4
4=> x = 4 * 24= 
4 * 24 = 96
96.   Answer:96
Answer: C
A radio station surveyed 190 students to determine the types of music they liked. The survey revealed that 114 liked rock music, 50 liked folk music, and 41 liked classical music, 14 liked rock music and folk music, 15 liked rock music and classical music, 11 liked classical music and folk music. 5 liked all the three types of music.how many liked rock music, folk music but not classical only?  Choose the correct choice from the following options:	A) 14	B) 5	C) 114	D) 9	E) 15

Solution: Let R, F and C represent the sets of students who liked rock music, folk music and classical music respectively.   R=114   F=50, C=41   R and F but not C= 14-5= 
14-5 = 9
9   ANSWER 9
Answer: D
5 is added to a certain number, the sum is multiplied by 2, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 44. What is the number?  Choose one:	A) 21	B) 20	C) 63	D) 30	E) 45

Solution: Let number is X.   When 5 added to it,   = (X+5)   2 multiplied to sum,   = 2 *(X +5)   Now,   = [{2 *(X +5)} /5]   And,   = [{2 *(X +5)} /5] - 5   According to question,   [{2 *(X +5)} /5] - 5 = half of 44   [(2X + 10) /5) = 22 +5   2X + 10 = 27 *5   2X-135-10   X = 125/2= 
125/2 = 125/2 = around 62.5
62.5=63   So, required number is: 63.   ANSWER : 63
Answer: C
A batsman in his 12th innings makes a score of 48 and thereby increases his average by 2 runs. What is his average after the 12th innings if he had never been ‘not out’?  Choose the correct answer:
A) 26	B) 43	C) 44	D) 45	E) 46

Solution: Let ‘x’ be the average score after 12 th innings   ⇒ 12x = 11 × (x – 2) + 48   ∴ x = 26   26nswer 26
Answer: A
An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 18%. How much will an air-conditioning unit cost in November?	Choose the correct choice from the following options:
A) $466  B) $470  C) $472  D) $484  E) $491

Solution: if its prevoius november (before discount) then price is $470.   but if its November of next year then   16% discount on $470=470(1-16/100)=$394.8   again a corrected raised price of 18% over $394.8=394.8(1+18/100)=465.86~$466   $466ns $466
Answer: A
200 pupil total,out of 125 like pizza,115 like burger, then how many like both?
Choose the correct choice from the following:	A) 40	B) 50	C) 60	D) 70	E) 80

Solution: n(A U B)=n(A) + n(B) - n(A INTERSECTION B)   200 = 125 + 115 - BOTH   BOTH = 240 - 200= 
240 - 200 = 40
40.   40NSWER:40
Answer: A
Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 144 grams of water?	Choose the correct choice from the following answers:
A) 16  B) 72  C) 112  D) 128  E) 142

Solution: Since the ratio, by mass, of hydrogen to oxygen is 2:16, then oxygen is 16/(2+16)=8/9 of mass of water.   Therefore there are   144*8/9= 
  144*8/9 = 128
128 grams of oxygen in 144 grams of water.   Answer: 128.
Answer: D
Of the 20 members of a kitchen crew in traditional Japanese, 17 can prepare sushi, 18 can prepare noodle, and 15 can prepare both. If one member is chosen at random, what is the probability that the member chosen will be someone who can not prepare either dish?
Choose the correct choice from the following choices:
A) a) 1/7  B) b) 1/5  C) c) 1/4  D) d) 0  E) e) 1/2

Solution: You know how to solve for Total number of people who can use at least one machine:   Total = n(A) + n(B) - n(A and B)   Total people who can prepare at least one dish = 17 + 18 - 15= 
17 + 18 - 15 = 20
20   So all 20 people know how to prepare at least one dish. Hence, if you pick anyone, the probability is 0 that he/she wouldn't know how to prepare any dish   Answer (d) 0)
Answer: D
When w is divided by 5, the remainder is 3. When y is divided by 5, the remainder is 4. What is the remainder when w + y is divided by 5?  Choose the correct choice from the following:
A) 0
B) 1
C) 2
D) 3
E) 4

Solution: In my view the answer should be 2   w/5 has Remainder=3 -> w = 5 x Q + 3   Y/5 has a Remainder=4 -> Y = 5 x Q + 3   2ombining both   ((5 x Q1 + 3) + (5 x Q2 + 3))/5 =   5(Q1+Q2)/5 + 7/5 =   Q1+Q2 + 7/5   7/5 = 1+ 2/5 => Remainder 2   Answer 2
Answer: C
List R contains five numbers that have an average value of 65. If the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list? Choose the correct answer:
A) 25  B) 31  C) 35  D) 39  E) 43

Solution: The middle number is 65.   Let the smallest number be x. Then the largest number is 2x+20.   To make x as small as possible, let's make the remaining numbers as large as possible.   So the second largest = the largest = 2x+20.   The second smallest should be equal to the median.   The numbers are x, 65, 65, 2x+20, 2x+20.   x + 65 + 65 + 2x + 20 + 2x + 20 = 5*65= 
5*65 = 325
325   5x= 155   x = 31   The answer is 31.
Answer: B
In how many ways can 5 boys and 3 girls be seated on 8 chairs so that no two girls are together?
Choose the correct choice from the following answers:
A) 5760 B) 14400 C) 480 D) 56 E) 40320

Solution: Consider the following arrangement:   *B*B*B*B*B*   Now, if girls occupy the places of 6 stars no girls will be together.   # of ways 3 girls can occupy the places of these 6 stars is C36=20;   # of ways 3 girls can be arranged on these places is 3!=6   # of ways 5 boys can be arranged is 5!=120   So total # of ways to arrange 3 Girls and 5 boys so that no girls are together is 20∗6∗120=14,400   ANS:14400
Answer: B
Bradley owns b video game cartridges. If Bradleyâ€™s total is quarter the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
Choose the most appropriate option.
A) 16/3)b B) 17/4)b C) 13/4)b D) 21/4)b E) 7/12)b

Solution: Step 1: Categorize the problem   This problem is testing basic algebra and equations, with an extra layer of complexity by having variables in the answer choices.   Step 2: Think like the test maker   What is the key detail or key details in the problem? The key detail to immediately recognize is that the problem gives you Andrew and Charlieâ€™s totals in relation to Bradleyâ€™s total rather than giving you Bradleyâ€™s total in relation to the other two; and then the problem asks you to solve the problem in terms of b. This means that you have to relate Andrew and Charlieâ€™s values in relation to Bradleyâ€™s total. The test maker is attempting to force you to structure the problem in the opposite way that most people are used to structuring information. By gaining this insight, it makes it easier to solve the problem.   Step 3: Solve the problem   b = Bradleyâ€™s total   4b = Andrewâ€™s total   (1/4)b = Charlieâ€™s total   Add each total   b + 4b+ (1/4)b = 5b + (1/4)b = (20/4)b + (1/4)b = (21/4)b   Therefore,choose 21/4)b.
Answer: D
If x is an even integer and y is an odd integer, which of the following must be an even integer? Choose the most appropriate option.
A) y/x B) x+y C) 3x + 2y D) 3(x + y) E) 2y/x

Solution: x is even and y is odd   Check the options   Option A. y/x - Nothing can be said about whether this will be an integer or not INCORRECT   Option B. x+y - Even + odd = Odd INCORRECT   C. 3x + 2y - 3*even + 2*odd = even + even = even - CORRECT   D. 3(x + y) 3*(even + odd) = 3*odd = odd - INCORRECT   E. 2y/x - Nothing can be said about whether this will be an integer or not IN3x + 2yORRE3x + 2yT   ANSWER:3x + 2y
Answer: C
When 24 is divided by the positive integer b, the remainder is 4. Which of the following statements about b must be true?
I. b is even
II. b is a multiple of 5
III. b is a factor of 20	Options:	A) III only	B) I and II only	C) I and III only	D) II and III only	E) I, II, and III

Solution: 24= m*b + 4   m*b=20   put values of m   m=1 b=20   m=2 b=10   m=4 b=5   I. not true   II. true   III. true   D. correct
Answer: D
In a country named "gpuzzles" 1/2 of 5 = 3.
If the same proportion holds, what is the value of 1/3 of 10 ?
Options:
A) 2	B) 5	C) 6	D) 9	E) 4

Solution: 4   4   5/2 = 3 and 10/3 = x   (10/3)/(5/2) = 20/15 = 4/3   So x/3 = 4/3   x=4
Answer: E
What is the place value of 0 in the numeral 2074?  Pick one
A) 0  B) 1  C) 2  D) 3  E) 4

Solution: Note : The place value of zero (0) is always 0. It may hold any place in a number,   its value is always 0.   0
Answer: A
Sudesh was standing in the garden early in the morning after sunrise. His sister Gauri, who was coming from the opposite directions, saw that Sudesh's shadow had fallen to his right. Which directions was Gauri facing?	Select the correct option
A) North	B) South	C) South-West	D) North-East	E) None of these

Solution: as sun rises from east so the boy's shadow must be fall behind him that means toward west ......if the boy is facing towards north then and only then his sister is able to see a shadow had fallen to his right side   ANSWER:South
Answer: B
C individuals pledged to pay equal contributions so that a charity’s goal of $F could be reached. If d of the contributors failed to pay their share, which of the following represents the additional number of dollars that each of the remaining individuals would have to pay in order to allow the charity to reach its goal? Choose the correct choice:	A) df	B) dF/C(C - d)	C) dFC	D) C-d	E) nc-d

Solution: Number of individuals = C   Amount paid by each individual = n   Total expected amount = Charity's goal = nC = F   n = F/C   Number of individuals who fail to pay = d   Contribution from individuals who would fail to pay = dF/C --> Additional amount   Number of individuals who are paying = C - d   Additional amount has to be divided among the (C - d) individuals --> dF/C(C - d)   dF/C(C - d)
Answer: B
How many distinct prime numbers are factors of 33150?  Options:
A) Four	B) Five	C) Six	D) Seven	E) Eight

Solution: Start with the prime factorization:   33150 = 50*663 = (2*5*5)*3*221 = (2)*(3)*(5^2)*(13)*(17)   There are five distinct prime factors, {2, 3, 5, 13, and 17}   Answer: Five.
Answer: B
A cyclist bikes x distance at 10 miles per hour and returns over the same path at 9 miles per hour. What is the cyclist's average rate for the round trip in miles per hour? Answers:
A) 8.1
B) 8.3
C) 8.6
D) 8.9
E) 9.5

Solution: Distance = d1 = x miles   Speed = s1 = 10 miles per hour   Time = t1 = Distance/ Speed = x/10   2. Going from B to A   Distance = d2 = x miles   Speed = s2 = 9 miles per hour   Time = t2 = Distance/ Speed = x/9   3. Average Speed = Total Distance/Total Time   Total Distance = x + x = 2x   Total Time = x/10 + x/9 = x (1/10 + 1/9) = x ( 4 + 5)/40 = 19x/90   Speed = 2x/(19x/90) = (2x * 90)/9x =180x/19x = 180/19 = 9.5   Answer : 9.5
Answer: E
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.7 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is:	Choose the most appropriate option.
A) 2:5	B) 2:3	C) 2:4	D) 2:1	E) 4:9

Solution: Let the ratio be k : 1. Then,   k * 16.7 + 1 * 15.4 = (k + 1) * 15.8   = (16.7 - 15.8)k = (15.8 - 15.4)   = k = 0.4/0.9 = 4/9   Required ratio = 4/9 : 1 = 4:9.   Answer:4:9
Answer: E
The perimeter of a triangle is 36 cm and the in radius of the triangle is 2.5 cm. What is the area of the triangle? Choose the correct choice:
A) 76	B) 88	C) 66	D) 55	E) 45

Solution: Area of a triangle = r * s   Where r is the in radius and s is the semi perimeter of the triangle.   Area of triangle = 2.5 * 36/2= 
2.5 * 36/2 = 45
45 cm2   Answer:45
Answer: E
Which of the following is the lowest positive integer that is divisible by 5, 6, 7, 8, 9, and 10?	Choose the correct choice from the following options:
A) 2190 B) 2360 C) 2520 D) 2770 E) 2840

Solution: The number needs to be divisible by 5, 2*3, 7, 2^3, 3^2, and 2*5.   The lowest positive integer is 7 * 2^3 * 3^2 * 5 = 2520   The answer is 2520.
Answer: C
A company has two types of machines, type R and type S. Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 4 hours. If the company used the same number of each type of machine to do job in 12 hours,how many machine R were used?  Choices
A) 3	B) 4	C) 9/5	D) 9/8	E) 12

Solution: yes there is a typo in the question, I got the same ques on my GMAT PREP last week, and the questions goes as:   A company has two types of machines,type R and type S.Operating at a constant rate a machine of R does a certain job in 36 hours and a machine of type S does the job in 4 hours .If the company used the same number of each type of machine to do job in2 hours,how many machine R were used?   So for a job to be done in 2 hours R = 1/2   R_a(Rate of Machine R) = 1/36   R_s(Rate of Machine S) = 1/4   Lets say x machines are used to attain the desired rate, thus   x/36+x/4 = 1/2 (Desired R =1/2 i.e. to complete the job in 2 hours)   (x+9x)/36 = 1/2   10x/36 = 1/2   x = 9/5.   QA = 9/5 (ANSWER 9/5)
Answer: C
A bag contains 5 white balls, 4 black balls, and 6 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red? Choose the most appropriate option
A) 0.25 B) 0.15 C) 0.35 D) 0.45 E) 0.4

Solution: Each ball has an equal probability of being the third ball drawn.   P(3rd ball is red) = 6/15= 
6/15 = 2/5 = around 0.4
0.4   The answer is 0.4.
Answer: E
What is greatest positive integer n such that 2^n is a factor of 12^9?  Choose the correct choice from the following answers.
A) a)10
B) b)18
C) c)16
D) d)20
E) e)60

Solution: The given number is 12^9   =(2*2*3)^9   =(2^18)*(3^9)   So the greatest possible value for n such that 2^n can be factor of given number is 18.   Answer b)18
Answer: B
The five sides of a pentagon have lengths of 2, 3, 4, 5 and 6 inches. five pentagons are considered different only when the positions of the side lengths are different relative to each others. What is the total number of different possible pentagons that could be drawn using these five side lengths ?
Choices
A) 5  B) 12  C) 24  D) 32  E) 120

Solution: CONCEPT: The number of ways to arrange n elements around a circular Manner is (n-1)!.   But the number of ways to arrange n elements in circular manner where the arrangement can be flipped around (e.g. Necklace, Garland, Bracelet) = (n-1)!/2.   The pentagon in the problem above can be flipped over (Clockwise Arrangement of Sides = Counter-clockwise arrangement), the number of distinct ways to arrange the 5 sides = (5-1)!/2 = 32.   Answer: option 32
Answer: D
At a speed of 60 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. If the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 60 miles per hour, the amount of gasoline used would be what fraction of a full tank?
Choose the correct answer
A) 3/25	B) 11/36	C) 7/12	D) 2/3	E) 5/6

Solution: Gas used = (5 hours)*(60 miles/hour)*(1 gallon/30 miles) = 10 gallons   Portion used = (10) / 12 = 5/6   Ans 5/6
Answer: E
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?  Pick one:
A) 7 : 6 : 10
B) 12 : 15 : 16
C) 42 : 45 : 56
D) Cannot be determined
E) None

Solution: EXPLANATION   Aman : Rakhi : Sagar = (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24) = 12 : 15 : 16.   Answer 12 : 15 : 16
Answer: B
If a quarter kg of onions costs 70 paise, how many paise will 100 gm cost?  Choices
A) 28 paise  B) 65 paise  C) 56 paise  D) 87 paise  E) 15 paise

Solution: Explanation:   Let the required cost be x paise.   Less weight, Less cost (Direct proportion)   250 : 100 : : 70 : x   250 * x = (100 * 70)   x = (100 * 70) / 250= 
(100 * 70) / 250 = 28
28   28 paiseNSWER: 28 paise
Answer: A
At what rate percent on simple interest will a sum of money double itself in 40 years?	Choose the correct option.
A) 3 1/3%	B) 2 1/2%	C) 3 9/3%	D) 3 2/3%	E) 3 6/3%

Solution: P = (P*40*R)/100   R = 2 1/2%   Answer: 2 1/2%
Answer: B
Two bike riders ride in opposite directions around a circular track, starting at the same time from the same point. Biker A rides at a speed of 16 kmph and biker B rides at a speed of 14 kmph. If the track has a diameter of 40 km, after how much time (in hours) will the two bikers meet?
Choices:
A) 8.18 hrs. B) 6.18 hrs. C) 4.18 hrs. D) 1.18 hrs. E) 7.18 hrs.

Solution: Explanation:   Distance to be covered = = 40 km   Relative speed of bikers = 16 + 14= 
16 + 14 = 30
30 kmph.   Now,= = 4.18 hrs.   Answer:4.18 hrs.
Answer: C
Water man has 2 cans of water. The 1st contains 25% water and the rest milk. The 2ndcontains 50% water. How much milk should he mix from each of the containers so as to get 12ltr of water such that the ratio of milk to water is 3 : 5? Choose the correct choice from the following options
A) 4 ltr  B) 5 ltr  C) 6 ltr  D) 7 ltr  E) 9 ltr

Solution: Let the cost of 1 litre milk be Re. 1   Milk in 1 litre mix. in 1st can =	3	litre, C.P. of 1 litre mix. in 1st can Re.	3   4	4   Milk in 1 litre mix. in 2nd can =	1	litre, C.P. of 1 litre mix. in 2nd can Re.	1   2	2   Milk in 1 litre of final mix. =	5	litre, Mean price = Re.	5   8	8   By the rule of alligation, we have:   C.P. of 1 litre mixture in 1st can C.P. of 1 litre mixture in 2nd can   3   4   Mean Price   5   8   1   2   1   8   1   8   Ratio of two mixtures =	1	:	1	= 1 : 1.   8	8   So, quantity of mixture taken from each can = 1	x 12 = 6 ltr.   2   6 ltr
Answer: C
Of the three-digit integers greater than 600, how many have two digits that are equal to each other and the remaining digit different from the other two?  Options
A) 90
B) 81
C) 80
D) 45
E) 36

Solution: To satify the given condition,   required no. of cases = total numbers - numbers with all digits different - numbers when all three digits are same,   number greater than 600;   total numbers = 1*10*10= 
1*10*10 = 100
100   numbers with all digits different= 1*9*8= 
1*9*8 = 72
72   numbers when all three digits are same (777)= 1   req. = 100- 72 - 1= 
100- 72 - 1 = 27
27   considering the numbers between 700999= 27*3=82   Answer is 81 ('cause 700 can't be included)   Answer (81).
Answer: B
A man whose bowling average is 12.4, takes 7 wickets for 26 runs and there by decreases his average by 0.4. the number of wickets taken by him before his last match is?
Choose the correct choice from the following answers:  A) 143  B) 144  C) 145  D) 146  E) 147

Solution: 12.4*x+26=(7+x)12   solve equation x=145   ANSWER:145
Answer: C
The average age of husband, wife and their child 3 years ago was 24 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
Options.
A) 22 B) 40 C) 38 D) 21 E) 31

Solution: Explanation:   Sum of the present ages of husband, wife and child = (24 x 3 + 3 x 3) years = 81 years.   Sum of the present ages of wife and child (20 x 2 + 5 x 2) years = 50 years.   Husband's present age = (81 - 50)= 
(81 - 50) = 31
31 years.   Answer: 31
Answer: E
If two numbers, a and b, are to be chosen from a set of 4 consecutive integers starting with 1 and a set of three consecutive even integers starting with 4, respectively, what is the probability that b/a will not be an integer?
Choices:	A) 1/6	B) 1/4	C) 1/3	D) 1/2	E) 2/3

Solution: a is from the following set {1,2,3,4}   b is from the following set {4,6,8}   Total number of ways of choosing 2 integers, one from each set is = 4* 3= 
4* 3 = 12
12 ways   Now the number of possibilities where b/a is not an integer is for the following outcomes   {b,a}=> {4,3},{6,4},{8,3} = 3 ways   Hence probability is = 3/12 = 1/4   ans is 1/4
Answer: B
Sari and Ken climb up a mountain. At night, they camp together. On the day they are supposed to reach the summit, Sari wakes up at 06:00 and starts climbing at a constant pace. Ken starts climbing only at 08:00, when Sari is already 600 meters ahead of him. Nevertheless, Ken climbs at a constant pace of 500 meters per hour, and reaches the summit before Sari. If Sari is 50 meters behind Ken when he reaches the summit, at what time did Ken reach the summit?
Choose the correct answer:
A) 13:00
B) 11:15
C) 14:00
D) 15:00
E) 15:30

Solution: Both Sari and Ken climb in the same direction.   Speed of Sari = 600/2= 
600/2 = 300
300 meters/hr (since she covers 700 meters in 2 hrs)   Speed of Ken= 500 meters/hr   At 8:00, distance between Ken and Sari is 600 meters. Ken needs to cover this and another 50 meters.   Time he will take = Total distance to be covered/Relative Speed = (600 + 50)/(500 - 300)= 
(600 + 50)/(500 - 300) = 13/4 = around 3.25
3.25 hrs   Starting from 8:00, in 5 hrs, the time will be 11:15   Answer (11:15)
Answer: B
If 1.5x=0.04y then the value of (y-x)/(y+x) is  Select:  A) 730/77  B) 73/77  C) 7.3/77  D) 7.3/770  E) 7.3/77

Solution: x/y=0.04/1.5   y/x=1.5/0.04   by componendo dividendo rule   (y+x)/(y-x)=1.54/1.46   (y-x)/(y+x)=1.46/1.54=73/77   ANSWER:73/77
Answer: B
5 OUT OF 1500 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH Choose the correct choice from the following options
A) 11/50
B) 2/9
C) 1/45
D) 1/3
E) NONE OF THESE

Solution: REQUIRE1/3 PERCENTAGE=(5/1500*100)%=1/3%   CORRECT OPTIONS: 1/3
Answer: D
The speed of a car is 100 km in the first hour and 30 km in the second hour. What is the average speed of the car?
Pick
A) 50 kmph  B) 65 kmph  C) 75 kmph  D) 85 kmph  E) 65 kmph

Solution: 65 kmphxplanation:   S = (100 + 30)/2= 
(100 + 30)/2 = 65
65 kmph   65 kmph)
Answer: E