MU-NLPC/Calc-aqua_rat huggingface dataset:
f two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?  Choose the correct choice from the following options.
A) 1/9  B) 1/2  C) 1/1  D) 1/5  E) 1/8

Solution: The number of exhaustive outcomes is 36.   Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2   P(E) = 1 - 1/2 = 1/2.   Answer: 1/2
Answer: B
There are 34 people in a party. If everyone is to shake hands with one another, how many hand shakes are possible?
Options:
A) 435 B) 367 C) 361 D) 497 E) 561

Solution: 561xplanation:   Total number of persons = n = 34   Shake hands involve only 2 persons = r = 2   Number of shake hands = nCr = 34C2   34C2 = (34 * 33) /(2 * 1)= 
(34 * 33) /(2 * 1) = 561
561   ANSW561R:561
Answer: E
Amithab's average expenditure for the January to June is Rs. 4200 and he spends Rs.1200 in January and Rs.1500 in july.The average expenditure for the months of febraury to July is:
Choose the most appropriate option:
A) Rs.4250
B) Rs.4288
C) Rs.4227
D) Rs.4218
E) Rs.4219

Solution: Explanation:   Rs.4250mithab's total expenditure for Jan - June = 4200 x 6 = 25200   Expenditure for Feb - June = 25200-1200= 
25200-1200 = 24_000
24000   Expenditure for the months of Feb - July= 24000 + 1500= 
24000 + 1500 = 25_500
25500   The average expenditure= {25500}{6}=4250   Rs.4250nswer: Rs.4250
Answer: A
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?  Select:
A) 5
B) 6
C) 7
D) 4
E) 32

Solution: US = 25   DS = 35   M = (35 - 25)/2= 
(35 - 25)/2 = 5
5   5nswer: 5
Answer: A
For which of the following values of s is (60+s)/s an integer? Choose the correct answer:  A) 3  B) 4  C) 9  D) 11  E) 60

Solution: This problem has to be solved by checking the options   (60 + s)/s   For this entity to be an integer, 50 + s should be divisible by s   Option A: 63/3 - Not an Integer   Option B: 64/4 - Not an Integer   Option C: 69/9 - Not an integer   Option D: 81/11 - Not an integer   Option 60 - 120/60 - Integer   Correct Option: 60
Answer: E
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 3/5 of its present?
Choices.
A) 41.66667
B) 60.5
C) 63.5
D) 62.5
E) 64.5

Solution: Let capacity of 1 bucket = x   Capacity of the tank = 25x   New capacity of the bucket = 3x/5   Hence, number of buckets needed = 25x/(3x/5)=(25×5)/3=41.66667   41.66667nswer is 41.66667.
Answer: A
The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is: Choose the correct option
A) Rs. 960  B) Rs. 760  C) Rs. 840  D) Rs. 1020  E) Rs. 1615

Solution: T.D = (B.Gx100)/(R/T) = (270X100)/(12X3) = Rs. 750   B.D. = Rs.(750 + 270) = Rs. 1020.   answer :Rs. 1020
Answer: D
The ratio of the volumes of two cubes is 27 : 64. What is the ratio of their total surface areas? Choose the correct choice.
A) 9:12 B) 12:18 C) 9:16 D) 8:2 E) 4:2

Solution: Ratio of the sides = Â³âˆš27 : Â³âˆš64   = 3 : 4   Ratio of surface areas =9:16   Answer: 9:16
Answer: C
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?	Choose the correct choice from the following options:
A) 57%
B) 58%
C) 60%
D) 65%
E) 68%

Solution: Total number of votes polled = (1136 + 7636 + 11628)= 
(1136 + 7636 + 11628) = 20_400
20400.   Required %=(11628/20400)*100= 
(11628/20400)*100 = 57
57%   answer :57%
Answer: A
What is 82% of 3/4?  Pick one
A) 6.9  B) 69.0  C) 0.6845  D) 0.6859  E) 0.615

Solution: 82%*(3/4)=0.82*0.75= 
0.82*0.75 = 0.615
0.615   Answer :0.615
Answer: E
Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
Choose the correct choice from the following.
A) 221
B) 287
C) 400
D) 288
E) 171

Solution: Explanation:   441 = P(21/20)2   P = 400   Answer:400
Answer: C
A bag contains 5 red, 4 blue and 3 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Options.
A) 2/15	B) 2/21	C) 5/33	D) 3/29	E) 4/27

Solution: P(Both are red),   =55/332125/332=55/332/125/332   =10/66=5/33   5/33
Answer: C
City X has a population 6 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?	Answers:  A) 1:8  B) 1:4  C) 2:1  D) 4:1  E) 12:1

Solution: x= 6y, y= 2*z   X : Y , Y : Z   6 : 1 , 2 : 1   12 : 2 , 2 : 1   So, X : Z =12 : 1   (12:1)
Answer: E
The average of first 10 prime numbers is?
Answers:	A) 12.7	B) 12.2	C) 12.9	D) 12.1	E) 12.6

Solution: Sum of 10 prime no. = 129   Average = 129/10= 
129/10 = 129/10 = around 12.9
12.9   Answer: 12.9
Answer: C
If a, b, and c are integers and a*b^2/c is a positive even integer, which of the following must be true?
I. c is even
II. ab is even
III. ab > 0	Choose the correct choice from the following answers.
A) I only  B) II only  C) I and II  D) I and III  E) I, II, and III

Solution: Two ways this can happen: 1- Even/ Even= Even or 2- Even/Odd= Even   So Ab MUST be even, with either A or B being even, Ab does not have to be positive, as B could be negative and once it is raised to 2 it becomes positive again, and of course, C could be Odd or Even as described above.   II only.letter II only
Answer: B
What is 15 percent of 54?  Select.
A) 7.3  B) 8.1  C) 9.5  D) 10.2  E) 11.6

Solution: (15/100) * 54= 
(15/100) * 54 = 81/10 = around 8.1
8.1   The answer is 8.1.
Answer: B
What is the remainder when 103 * 505 * 607 is divided by 9 Choose the correct choice from the following choices
A) 6 B) 18 C) 2 D) 4 E) 7

Solution: 103/9==> Remainder=4   505/9==> Remainder=1   607/9==> Remainder=4   =4*4*1= 
4*4*1 = 16
16/9==> Remainder=7   Answer: 7
Answer: E
Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/4 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?  Choose the correct choice from the following choices:
A) 7/12
B) 29/60
C) 17/30
D) 19/30
E) 11/15

Solution: Let s assume the platinum card spending limit =x   Gold card spending limit will be =x/2   balance on gold card is =x/2*1/3=x/6   Platinum card unspent limit is= x-1/4x=3/4x   So if gold card balance is transferred then the rest unspent will be   3/4x-x/6=7/12x   So the ans is 7/12
Answer: A
A company selects an employee at his 25th age and offers salary as Rs.40000 per
annum for first 2 years. Afterwards, every year he gets increment of Rs.4000 for
next 15 years and his salary become constant till his retirement. If Rs.80,000 is
his average salary (throughout his career) then at what age he retires?
Choose the correct choice from the following answers: A) 48 B) 49 C) 50 D) 52 E) 53

Solution: For 1st 2 yrs salary=40,000   After 2 years he get increment of 4000 every year for 15 years   So 15th year salary =44000+14*4000= 
44000+14*4000 = 100_000
100000   Now by using arithmetic progression   S15=n/2(a+l)=15/2(44000+100000)=1080000   Now avg salary=80000   80000+10,80000+10,0000x/17+x=80000   By solving   x=10   now  27+15+10= 
 27+15+10 = 52
52   so 52 is the age   ANSWER:52
Answer: D
In a certain sequence, the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term of the sequence?  Choose one
A) 3/5
B) 5/8
C) 8/5
D) 5/3
E) 9/2

Solution: First term = 1   Second term = (1/1)+1= 
(1/1)+1 = 2
2   Third Term= (1/2)+1 = 3/2   Forth Term = [1/(3/2)]+1 = 5/3   Fifth Term = [1/(5/3)]+1 = 8/5   Answer: Option 8/5
Answer: C
A pipe can empty 2/3rd of a cistern in 12 mins. In 8 mins, what part of the cistern will be empty?  Choose the correct choice from the following options
A) 1//3  B) 2/3  C) 4/9  D) 4/7  E) 5/9

Solution: 2/3 ---- 12   ? ----- 8 ==> 4/9   4/9
Answer: C
Nr Books bought Nr of People
1 5
3 2
4 7
6 3
What is the median of books bought per person? Choose one:
A) a) 2  B) b) 4  C) c) 6  D) d) 8  E) e) 18

Solution: 1,1,1,1,1,3,3,4,4,4,4,4,4,4,6,6,6   so you will observer that the median of the list is 4.   Ans b) 4
Answer: B
The averageincome of M and N is Rs. 5050. The average monthly income of N and O is Rs. 6250 and the average monthly income of M and Ois Rs. 5200. The income of M is? Answers.
A) Rs. 2000	B) Rs. 3000	C) Rs. 4000	D) Rs. 4500	E) Rs. 5000

Solution: Let P, Q and R represent their respective monthly incomes. Then, we have:   P + Q = (5050 x 2) = 10100 .... (i)   Q + R = (6250 x 2) = 12500 .... (ii)   M + O = (5200 x 2) = 10400 .... (iii)   Adding (i), (ii) and (iii), we get: 2(M + N + O) = 33000 or M + N + O = 16500 .... (iv)   Subtracting (ii) from (iv), we get M = 4000.   M's monthly income = Rs. 4000   Rs. 4000
Answer: C
Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?  Select.
A) Rs529	B) Rs527	C) Rs598	D) Rs540	E) Rs516

Solution: A+B+C = 1170   4A = 3B = 2C = x   A:B:C = 1/4:1/3:1/2 = 3:4:6   6/13 * 1170= 
6/13 * 1170 = 540
Rs540   Answer:Rs540
Answer: D
Find the average of all the numbers between 17 and 32 which are divisible by 3.
Choose the correct answer.
A) 15 B) 18 C) 20 D) 26 E) None

Solution: Sol.   Average = (21+ 24+ 27+ 30/ 4) = 102 / 4= 
102 / 4 = 51/2 = around 25.5
25.5   Answer 26
Answer: D
In a barrel of juice there is 40 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer? Answers.
A) 3:2.  B) 2:1.  C) 3:1.  D) 4:3.  E) 3:4.

Solution: Juice barrel : beer Barrel = 40:80 i.e. 3:8   price of Juice : Price of Beer = 3 : 4   so for 4/8 costs 3/4, ie 4J / 8B = 3/4.   Solving for J/B, we get 3:2   3:2.nswer 3:2..
Answer: A
The average weight of 8 person's increases by 6 kg when a new person comes in place of one of them weighing 40 kg. What might be the weight of the new person?
Choose the correct choice from the following options:
A) 80 kg B) 85 kg C) 90 kg D) 88 kg E) 110 kg

Solution: Total weight increased = (8 x 6) kg = 48 kg.   Weight of new person = (40 + 48)= 
(40 + 48) = 88
88 kg.   Answer : 88 kg
Answer: D
In a company the manager wants to give some gifts to all of the workers. In each block there are about 100 workers are there. The total amount for giving the gifts for all the workers is $4000. The worth of the gift is $4. How many blocks are there in the company? Choices: A) 12 B) 10 C) 15 D) 17 E) 20

Solution: Each employee will get a gift worth of = $4   total employees = 4000/4= 
4000/4 = 1_000
1000   total blocks= 1000/100= 
1000/100 = 10
10   correct option is 10
Answer: B
Mary can do a piece of work in 28 days. Rosy is 40% more efficient than Mary. The number of days taken by Rosy to do the same piece of work is?  Choose the correct choice from the following choices:
A) 22 B) 24 C) 20 D) 25 E) 27

Solution: Ratio of times taken by Mary and Rosy = 140:100 = 14:10   Suppose Rosy takes x days to do the work.   14:10 :: 28:x => x= 20 days.   Hence, Rosy takes 20 days to complete the work.   Answer: 20
Answer: C
A certain restaurant offers 6 different salads, 4 different main courses, and 7 different desserts. If customers choose one salad, one main course, and two different desserts for their meal, how many different meals are possible? Choose the most appropriate option.
A) 260	B) 388	C) 436	D) 504	E) 520

Solution: The number of possible choices for desserts is 7C2 = 21   The number of possible meals is   6*4*21= 
  6*4*21 = 504
504   The answer is 504.
Answer: D
In how many ways can Nicole distribute 20 chocolates among Ben, Kate, Mark and Tom so that each receives at least one?  Choices:
A) 20C4	B) 19C3	C) 21C4	D) 21C3	E) None of the answers is correct

Solution: The total number of ways of dividing n identical items among r persons, each one of whom receives at least one item is n−1Cr−1   Thus the answer is 19C3.   Answer: 19C3.
Answer: B
8k8
+ k88
--------
1,6r6
If k and r represent non-zero digits within the integers above, what is r?	Choose one
A) 6	B) 7	C) 8	D) 9	E) 17

Solution: 8k8   k88   --------   16r6   Trial and error or just plug-in method might be the shortest way to solve this problem. Though you can narrow down the possible values of k to just two: 7 and 8 --> 8**+7**=16** or 8**+8**=16** (k can not be less than 7 or 9, as the result won't be 16**). After that it's easy to get that k=7 and r=6.   6nswer: 6.
Answer: A
A and B started a partnership business investing some amount in the ratio of 2 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?  Pick.
A) 4 : 10 : 5
B) 5 : 7 : 4
C) 6 : 10 : 5
D) 7 : 9: 4
E) 5 : 4 : 8

Solution: Let the initial investments of A and B be 2x and 5x.   A : B : C = (2x x 12) : (5x x 12) : (5x x 6) = 24 : 60 : 30   = 4 : 10 : 5.   4 : 10 : 5NSWER :4 : 10 : 5
Answer: A
It was raining and a water drop accumulated itself over a leaf. It fell down to another leaf and lost 1/4th of its volume. It then fell off to another leaf losing 1/5th of its volume. After that it fell to another leaf losing 1/6th of its volume. This was process was repeated again and again till the water drop reached the last leaf and lost 1/75th of its volume.
Seeking the facts given in the question, will you be able to determine the accurate percentage of loss in the volume of the water drop when it is on the last leaf from its initial volume? Choose the correct choice from the following answers:  A) 5%  B) 3%  C) 8%  D) 4%  E) 9%

Solution: D   4%   Suppose that the initial volume of the water drop was p.   p - (1/4) p = (3/4) p   (3/4) p - (1/5) [(3/4) p] = (3/4) p * [1 - (1/5)] = (3/4) p * (4/5) = (3/5) p   (3/75) p = (1/25) p   1/25 = 4%   Therefore, the required percentage is four percent.
Answer: D
Myra drove at an average speed of 30 miles per hour for some time and then at an average speed of 60 miles/hr for the rest of the journey. If she made no stops during the trip and her average speed for the entire journey was 50 miles per hour, for what fraction of the total time did she drive at 30 miles/hour?
Options:
A) The average speed is 1/5 miles per hour.
B) The average speed is 1/3 miles per hour.
C) The average speed is 2/5 miles per hour.
D) The average speed is 2/3 miles per hour.
E) The average speed is 3/5 miles per hour.

Solution: We know the average speed and must find the fraction of time taken at a particular speed.   t1/t2 = (A2 – Aavg)/(Aavg – A1)   t1/t2 = (60 – 50)/(50 – 30) = 1/2   So out of a total of 3 parts of the journey time, she drove at 30 mph for 1 part and at 60 mph for 2 parts of the time. Fraction of the total time for which she drove at 30 mph is 1/3.   ANSWER (The average speed is 1/3 miles per hour.)
Answer: B
If x is negative and y is positive, which of the following cannot be positive?
Choose the correct choice from the following answers:  A) -xy  B) x^2/y  C) x^4/y  D) -x^3*y  E) -x/-y

Solution: - * - = +   + / - = -   -x/-y is negative.   Answer : -x/-y
Answer: E
A quiz has one mcq question with a,b and c as options. and two questions with true/false answers. what is the probability of giving all 3 answers correct?
Choose the correct option: A) 1/12 B) 1/3 C) 1/4 D) 1/2 E) 1/6

Solution: probability of getting mcq answer correct = 1/3   probability of getting one true/false answer correct = 1/2   probability of getting all 3 answers correct = 1/3 * 1/2 *1/2   =1/12   1/12NSWER:1/12
Answer: A
If -6 < x < 7 and -6 < y < 3, which of the following specifies all the possible values of xy?	Choices:
A) -42 < xy < 21 B) -42 < xy < 24 C) -28 < xy < 18 D) -42 < xy < 36 E) -24 < xy < 24

Solution: The least value of xy is a bit more than 7*(-6)=-42 and the largest value of xy is a bit less than (-6)*(-6)= 
(-6)*(-6) = 36
36.   Therefore -42 < xy < 36.   Answer: -42 < xy < 36.
Answer: D
Convert 0.34 in to a vulgar fraction ? Choices:
A) 18/50	B) 16/50	C) 17/50	D) 19/50	E) None

Solution: Answer   0.34 = 34/100 = 17/50   17/50orrect Option: 17/50
Answer: C
The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is? Options.
A) 8
B) 3
C) 9
D) 3
E) 2

Solution: S.I. = (1200 * 10 * 1)/100 = Rs. 120   C.I. = [1200 * (1 + 5/100)2 - 1200]   = Rs. 123 Difference = (123 - 120)   = Rs.3.   Answer:3
Answer: B
There are 408 boys and 312 girls in a school which are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed.  Pick one.
A) 31  B) 32  C) 35  D) 30  E) 45

Solution: Explanation:   HCF (408, 312) = 24   The number of boys or girls that can be placed in a section = 24.   Thus the total number of sections is given by   408/24+312/24 =17+13= 
17+13 = 30
30   Answer: 30
Answer: D
The chance of rain on any given day in Tel-Aviv is 50%. What is the probability E that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?
Choose the correct answer:
A) 15/64	B) 30/64	C) 1/2	D) 1/4	E) 52/64

Solution: chances of rain on exactly 4 days and not rain on 2 days = (1/2)^4* (1/2)^2 = 1/64   Chosing 4 days out of 6 = 6!/(4!*2!) = 15   chances of rain on exactly 4 days out of 6 days E= 15/64   15/64ns 15/64 it is.
Answer: A
When positive integer N is divided by positive integer J, the remainder is 18. If N/J = 204.03, what is value of J?  Choose the correct option.
A) 600	B) 200	C) 400	D) 800	E) 1000

Solution: When a number is divided by another number, we can represent it as : Dividend = Quotient * Divisor + Remainder   So, Dividend/Divisor = Quotient + Remainder/Divisor   Given that N/J = 204.03   Here 204 is the quotient.   Given that Remainder = 18   So, 204.03= 204 + 18/J   So, J = 600   600nswer: 600
Answer: A
A bucket full of nuts was discovered by the crow living in the basement. The crow eats a fifth of the total number of nuts in 8 hours. How many hours in total will it take the crow to finish a quarter of the nuts?  Select the correct option:
A) 9
B) 10
C) 11
D) 12
E) 14

Solution: In one hour, the crow eats 1/40 of the nuts.   (1/4) / (1/40)= 
(1/4) / (1/40) = 10
10 hours   The answer is 10.
Answer: B
A Bell Curve (Normal Distribution) has a mean of − 1 and a standard deviation of 1/8 . How many integer values are within three standard deviations of the mean?	Choose the correct choice from the following options: A) 0 B) 1 C) 3 D) 6 E) 7

Solution: Mean = -1   Standard Deviation = 1/8   1 unit of standard deviation BELOW the mean = -1 - 1/8 = -1 1/8   2 units of standard deviation BELOW the mean = -1 - 1/8 - 1/8 = -1 2/8   2 units of standard deviation BELOW the mean = -1 - 1/8 - 1/8 - 1/8 = -1 3/8   1 unit of standard deviation ABOVE the mean = -1 + 1/8 = -7/8   2 units of standard deviation ABOVE the mean = -1 + 1/8 + 1/8= -6/8   3 units of standard deviation ABOVE the mean = -1 + 1/8 + 1/8 + 1/8= -5/8   So, all values from -1 3/8 to -5/8 are within 3 standard deviations of the mean.   Within this range, there is only 1 integer value: -1   Answer:3
Answer: C
Tough and Tricky questions: Distance/Rate.
On a reconnaissance mission, a state-of-the-art nuclear powered submarine traveled 300 miles to reposition itself in the proximity of an aircraft carrier. This journey would have taken 1 hour less if the submarine had traveled 10 miles per hour faster. What was the average speed, in miles per hour, for the actual journey?	Choose the correct choice from the following answers.
A) 20	B) 40	C) 60	D) 80	E) 50

Solution: Say, if speed is 60, 300/50 = 6 hrs and 300/60= 
300/60 = 5
5 hrs (a reduction of 1 hr -> Correct answer)   Answer (50)
Answer: E
In what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choose the correct choice from the following answers.
A) 8 sec  B) 7 sec  C) 5 sec  D) 6 sec  E) 9 sec

Solution: T = 50/36 * 18/5= 
50/36 * 18/5 = 5
5 sec   Answer:5 sec
Answer: C
The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 15000, then find the annual income of A?	Choose the correct choice from the following choices
A) Rs. 420000 B) Rs. 180000 C) Rs. 201600 D) Rs. 504000 E) None of these

Solution: B's monthly income = 15000 * 112/100 = Rs. 16800   B's monthly income = 2 parts ----> Rs. 16800   A's monthly income = 5 parts = 5/2 * 16800 = Rs. 42000   A's annual income = Rs. 42000 * 12 = Rs. 504000   ANSWER:Rs. 504000
Answer: D
A survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe benefit costs. If salary costs rose 3 percent and fringe-benefit costs rose 5.5 percent during 1993, then fringe-benefit costs represented what percent of employment costs at the beginning of 1993 ?  Select the correct option.
A) 16.5%  B) 20%  C) 35%  D) 55%  E) 65%

Solution: The amount by which employment costs rose is equal to 0.035(salary costs + fringe benefit costs);   On the other hand the amount by which employment costs rose is equal to 0.03*salary costs + 0.055*fringe benefit costs;   So, 35(S+F)=30S+55F --> S=4F --> F/S=1/4 --> F/(S+F)=1/(1+4)=1/5=0.2.   Answer: 20%.
Answer: B
Abhinav and Bhupathi together have Rs. 1210. If 4/15 of Abhinav's amount is equal to 2/5 of Bhupathi's amount, how much amount does Bhupathi have?  Choose the correct choice from the following answers.
A) Rs 460
B) Rs 484
C) Rs 550
D) Rs 664
E) None of these

Solution: Explanation :   Let A = Abhinav, B = Bhupathi.   4/15A=2/5B   => A=(2/515/4)B   => A=3/2B   => A/B=3/2   => A : B = 3:2   B's share = Rs. (12102/5)= Rs. 484.   Answer : Rs 484
Answer: B
Reduce
368575
to the lowest terms	Choose the correct choice from the following choices: A) 3025 B) 2829 C) 2829 D) 1625 E) None of these

Solution: Explanation:   We can do it easily by in two steps   Step1: We get the HCF of 368 and 575 which is 23   Step2: 1625ivide both by 23, we will get the answer 16/25   Answer: Option 1625
Answer: D
On a journey across Bombay, a tourist bus averages 10 km/h for 20% of the distance, 30 km/h for 60% of it and 20 km/h for the remainder. The average speed for the whole journey was
Choose the most appropriate option.
A) 10 km/h
B) 30 km/h
C) 5 km/h
D) 20 kilometre per hour
E) None of these

Solution: Let the average speed be x km/h.   and Total distance = y km. Then,   0.2⁄10y + 0.6⁄30y + 0.2⁄20y = y⁄x   ⇒ x = 1⁄0.05 = 20 km/h   Answer 20 kilometre per hour
Answer: D
Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages
Choose the correct answer
A) 65 years B) 35 years C) 55 years D) 44 years E) 11 years

Solution: Let A's age 10 years ago = x years.   Then, B's age 10 years ago = 2x years.   (x + 10) / (2x+ lO) = 3/4   => x = 5.   So, the total of their present ages =(x + 10 + 2x + 10)   = (3x + 20) = 35 years.   Answer: 35 years
Answer: B
Given the two equations 5r - 5s = 15 and 2r - 2s = 6, by how much does r exceed s?  Choose the correct choice from the following answers:
A) 3 B) 2 C) 11 D) 4 E) 7

Solution: Solve by Simultaneous Equations.   My Answer is A.   r=6   s=3
Answer: A
The unit digit in the product 1258*6754*4512*9783 is?	Options
A) 0
B) 1
C) 2
D) 3
E) 4

Solution: Unit digit in the given product = unit digit in 8*4*2*3 = 2   Answer is 2
Answer: C