MU-NLPC/Calc-aqua_rat huggingface dataset:
A searchlight on top of the watch-tower makes 3 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 15 seconds?	Pick.
A) 1/4
B) 1/3
C) 1/2
D) 2/3
E) 3/4

Solution: 3 revolutions per minute = 1 revolution every 20 seconds   So no matter what anybody appearing at the tower cannot stay in the dark for more than 20 seconds. This will be our total number of possibilities i.e the denominator.   P(man in dark for at least 15 seconds) = 1 - P (man in dark for max of 15 seconds) = 1 - 15/20 = 1 - 3/4 = 1/4   or the other way would be:   P(man in dark for at least 5 seconds) is like saying he can be in dark for 5,6,7...all the way to 20 seconds because that is the max. In this approach it would be 5/20 seconds = 1/4.   1/4nswer is 1/4
Answer: A
A ship went on a voyage after 180 miles a plane statrted with 10 times speed that of the ship.Find the distance when they meet from starting point.  Choices:	A) 200 miles	B) 179 miles	C) 146 miles	D) 149 miles	E) 143 miles

Solution: Let the distance traveled by the ship after 180 miles to meet the plane be 'd'   Speed of the ship be 'x' and speed of the ship be '10x'   Time taken by plane to travel 180+d dist. = time take by ship for 'd' dist.   (180+d)/10x=d/x   180+d=10d   d=180/9= 
180/9 = 20
20.   So the distance traveled when they meet from starting point=180+d=200 miles   200 milesNSWER:200 miles
Answer: A
A polygon has 230 diagonals. How many sides does it have?
Self made  Choices.
A) 22 B) 23 C) 24 D) 25 E) 26

Solution: The best way to solve this problem is to use the formula: An n sided polygon can have n*(n - 3)/2 diagonals   n*(n - 3)/2 = 230   n*(n - 3) = 460   Substitute n from the answer choices. n = 23   Answer: 23
Answer: B
If x : y = 1 : 3, find the value of (2x + 3y) : (5x – y) Answers
A) 11:3
B) 11:2
C) 3:2
D) 7:2
E) 9:5

Solution: Explanation:   Given: x/y = 1/3   (2x + 3y)/(3x – y)   = (2*1 + 3*3) : (5*1 – 3)   = 11:2   ANSWER: 11:2
Answer: B
Stacy and Helon are 30 miles apart and walk towards each other along the same route. Stacy walks at constant rate that is 1 mile per hour faster than helon's constant rate of 5 miles/hour. If Helon starts her journey 24 minutes after Stacy, how far from the original destination has Helon walked when the two meet?
Choose the correct choice from the following options:
A) 5 miles  B) 8 miles  C) 6 miles  D) 13 miles  E) 12 miles

Solution: Original distance between S and H = 30 miles.   Speed of S = 5+1= 
5+1 = 6
6 mph, Speed of H= 5 mph.   Time traveled by H = t hours ---> time traveled by S = t+24/60 = t+2/5 hours.   Now, the total distances traveled by S and H = 20 miles ---> 6*(t+2/5)+5*t=30 ---> t= 138/55 hours. Thus H has traveled for 138/55 hours giving you a total distance for H = 5*138/55 = 13 miles.   D is thus the correct answer.   P.S.: based on the wording of the question, you should calculatehow far from theoriginal destination has Heather walkedwhen the two meet. 'Original destination' for H does not make any sense. Original destination for H was situated at a distance of 20 miles.
Answer: D
A train is moving at a speed of 132 km/hr. If the length of the train is 100 meters, how long will it take to cross a railway platform 230 meters long
Pick:
A) 6 ½ sec
B) 7 ½ sec
C) 8 sec
D) 8 ½ sec
E) 9 sec

Solution: Explanation:   Speed of train = 132 ×(5/18) m/sec = 110/3 m/sec.   Distance covered in passing the platform = (100 + 230)= 
(100 + 230) = 330
330 m.   Time taken=330×(3/110) sec = 9 sec   Answer: Option 9 sec
Answer: E
How long does a train 100 m long running at the speed of 75 km/hr takes to cross a bridge 135 m length? Choose the correct choice from the following
A) 11.3 sec B) 12.1 sec C) 13.1 sec D) 16.5 sec E) 12.7 sec

Solution: Speed = 75 * 5/18   = 20.8 m/sec   Total distance covered   = 100 + 135= 
100 + 135 = 235
235 m.   Required time= 235/20.8 '   = 11.3 sec.   11.3 secnswer:11.3 sec
Answer: A
A side of beef lost 35 percent of its weight in processing. If the side of beef weighed 546 pounds after processing, how many pounds did it weigh before processing?	Choose the correct choice from the following choices.
A) 191	B) 355	C) 737	D) 840	E) 1,560

Solution: Let weight of side of beef before processing = x   (65/100)*x = 546   => x = (546 * 100)/65= 
(546 * 100)/65 = 840
840   Answer 840
Answer: D
Let p be a prime number. If N = 7P, how many divisors does N have?	Choose the correct choice.
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: Two. N = 7*p, and both 7 and p are prime. So the answer is 2.
Answer: B
Suraj has a certain average of runs for 8 innings. In the 9th innings he scores 90 runs thereby increasing his average by 6 runs. What is his average after the 9th innings?  Choose the correct answer
A) 42
B) 64
C) 36
D) 72
E) 27

Solution: To improve his average by 6 runs per innings he has to contribute 8 x 6 = 48 runs for the previous 8 innings.   Thus, the average after the 9th innings   = 90 - 48= 
90 - 48 = 42
42.   42NSWER:42
Answer: A
If the shirt is selling for $150 and C.P is 30% of S.P. Then what is the profit percent  Choose the correct choice from the following choices:  A) 130%  B) 150%  C) 160%  D) 170%  E) 180%

Solution: Explanation:   Let the S.P = 150   then C.P. = (40/100)*150= 
(40/100)*150 = 60
60   Profit= 90   Profit% = (90/60) * 100= 
(90/60) * 100 = 150
150%. Answer: 150%
Answer: B
The radius of a cylindrical vessel is 7cm and height is 4cm. Find the whole surface of the cylinder?	Select: A) 484 B) 771 C) 440 D) 767 E) 1981

Solution: r = 7 h = 4   2πr(h + r) = 2 * 22/7 * 7(11) = 484   484nswer:484
Answer: A
Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is
Choose the most appropriate option
A) 6 days B) 7 days C) 8 days D) 9 days E) 11 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days.   That is, the required No. of days = 10 × 40/50 = 8 days.   8 days
Answer: C
A school’s annual budget for the purchase of student computers increased by 70% this year over last year. If the price of student computers increased by 30% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year? Choose the correct choice from the following options
A) 30%	B) 30.77%	C) 36%	D) 37%	E) 38%

Solution: Pick numbers.   Lats year: budget = $100, price = $1 --> the number of computers purchased = 100/1= 
100/1 = 100
100;   This year: budget= $170, price = $1.3 --> the number of computers purchased = 170/1.3 = ~130.77   Increase in the number of computers purchased = 30.77%.   Answer: 30.77%.
Answer: B
If 292,102 football shoes need to be placed in boxes and each box can contain at most 13 pair of football shoes. How many pair of football shoes will be in the last unfilled box?
Options:	Pick one:  A) 1football shoes  B) 6 football shoes  C) 4 football shoes  D) 7 football shoes  E) 9 football shoes

Solution: The number of football shoes that can be placed in boxes of 13 football shoes is the first number that is divisible by 13 that occurs before 292,102.   In order to divide the sum in 13 parts, the amount must be divisible by 13   Divisibility rule of 13: The sum of the digits must be divisible by 13   Add four times the last digit to the remaining leading truncated number.   292,102->29210+8=29218->2921+32=2953->295+12=307->30+28=58   Hence, we need to remove 6 to this number for it to be divisible by 13   Correct Option: 6 football shoes
Answer: B
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?	Select.
A) 100	B) 120	C) 130	D) 150	E) 160

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: Option 150
Answer: D
How many different sections of 4 books can be made from 10 different books if two books are always selected. Choose the correct choice from the following options:	A) 48	B) 18	C) 38	D) 28	E) 35

Solution: If two particular books are always selected. This means two books are selected out of the remaining 8 books. Required number of ways =8C2 =8!/2!6! =28. Answer : 28
Answer: D
75 boys can complete a work in 36 days.how many men need to complete twice the work in 20 days	Choose the correct choice from the following:
A) 160
B) 170
C) 270
D) 190
E) 200

Solution: one man can complete the work in 36*75= 
36*75 = 2_700
2700 days= one time work   to Complete the work twice it will be completed in   let M be the no. of worker assign for this therefore the eqn becomes   M*20=2*2700   M=270 workers   ANSWER:270
Answer: C
Elena’s bread recipe calls for 3 ounces of butter for each 4 cups of flour used. She needs to make 7 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?	Options:
A) 1
B) 4
C) 9
D) 13
E) 28

Solution: Solving through algebra route:   3B + 4F = x amount   If we multiply this equation with 7 we get:   21B + 28F 3  + 4= 
3  + 4 = 7
x amount   If we multiply this equation with 7 we get:   21B + 28F=7X   Therefore, we got 21 ounces of butter and 7X amount of quantity when we use 28 ounces of floor.   Ans:28
Answer: E
In a 120-mile trip, the first 40 miles were completed at 60 mph. If the average speed for the whole trip was 50 mph, what was the average speed in the last 80 miles? Choose the correct option:
A) 585/13 mph  B) 590/13 mph  C) 595/13 mph  D) 600/13 mph  E) 605/13 mph

Solution: The time to complete the first 40 miles was (40 miles / 60 mph) = (2/3) hours.   The time to complete the whole trip was (120 miles / 50 mph) = (12/5) hours.   The time to complete the last 80 miles was (12/5) - (2/3) = (26/15) hours.   The average speed in the last 80 miles was (80 miles / (26/15) hours) = 600/13 mph.   The answer is 600/13 mph.
Answer: D
If set A={3,3,3,....,n times} , set B={3,3,3,3....m times} and set C={11,11,11...k time} , then in terms of m,n and k , how many possible subsets from sets A,B, and C can be created ?  Select the correct option:	A) a) k(n+m+mn)+ k	B) b) (1+n+m+mn)(k+1)	C) c) k^2(mn+n/m)	D) d) kmn(k+m+n)	E) e) None of the above.

Solution: a) how many 2's are included?   b) how many 3's are included?   and   c) how many 11's are included?   For the number of 2, we could have zero 2's, or one 2, or two 2's, all the way up to n 2's. That's (n + 1) possibilities for the 2's. Similarly, (m + 1) possibilities for the 3's and (k + 1) possibilities for the 11's. We simply multiply these three numbers.   NOTICE that one set, the set that includes no 2's, no 3's, and no 11's, is included. This is known in mathematics as thenull set, sometimes called the empty set, a set with no members. Technically, this is a subset of every possible set, but that's a technical detail of set theory that goes well beyond what the GMAT would expect students to know. Even the the calculation is not that difficult, some of the technical aspects of this question are not in line with the GMAT's expectations.   The number of subsets is (m + 1)(n + 1)(k + 1). The answer is not given in that form. Instead, the first two factors have been FOILed together:   (mn + m + n + 1)(k + 1).   Mike   d) kmn(k+m+n)
Answer: D
If A and B are two prime numbers bigger than 2, which of the following can't be true?
(1) A + B is an even number.
(2) A - B is also a Even number.
(3) A^B is also a prime number.
Choices.
A) 1 only.	B) 2 only.	C) 3 only.	D) 2 and 3 only.	E) 1, 2 and 3.

Solution: Answer is D : 2 and 3 only   (1) A + B is an even number. : All primes beyond 2 are odd, so odd+odd = even, so true   (2) A - B is also a Even number. : True   (3) A^B is also a prime number. : Beats the property of primes, so false   Ans : 3 only.
Answer: C
There are 24 students in a seventh grade class. They decided to plant birches and roses at the school's backyard. While each girl planted 3 roses, every three boys planted 1 birch. By the end of the day they planted 2424 plants. How many birches and roses were planted?  Choices
A) 6 B) 7 C) 8 D) 2 E) 9

Solution: Let xx be the number of roses. Then the number of birches is 24−x24−x, and the number of boys is 3×(24−x)3×(24−x). If each girl planted 3 roses, there are x3x3 girls in the class.   We know that there are 24 students in the class. Therefore x3+3(24−x)=24x3+3(24−x)=24   x+9(24−x)=3⋅24x+9(24−x)=3⋅24   x+216−9x=72x+216−9x=72   216−72=8x216−72=8x   1448=x1448=x   x=18x=18   So, students planted 18 roses and 24 - x = 24 - 18= 
24 - 18 = 6
6 birches.   6nswer:6
Answer: A
A train ride from Two P to Town Q costs $6.85 more than does a bus ride from Town P to Town Q. Together, the cost of one train ride and one bus ride is $9.85. What is the cost of a bus ride from Town P to Town Q?	Choose the correct option:  A) $1.50  B) $2.50  C) $4.10  D) $4.70  E) $8.20

Solution: Let x be the cost of a bus ride.   x + (x+685) = 985   2x = 300   x = $1.50   The answer is $1.50.
Answer: A
A fruit salad mixture consists of apples, peaches, and grapes. There are 3 times as many pounds of apples as grapes and 2.5 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 39 pounds per fruit, how many more pounds of apples than grapes does the mixture have?	Pick:
A) 5  B) 12  C) 19  D) 36  E) 50

Solution: A+P+G= 39*3   A=3G   P=2.5G   3G+2.5G+G= 39*3   G=39*3/6.5= 
39*3/6.5 = 18
18   A= 6*3=54   36ifference = 36   '36' is the answer
Answer: D
A businessman earns $24800 in December, thus decreasing his average annual (January to December) earnings by $1500. His average annual earnings would be
Source: CMAT Preparation
Choose the correct answer.
A) $29000	B) $33500	C) $40200	D) $41300	E) $42300

Solution: (x - 24,800)/11 - x/12 = 1,500   x = 495,600   x/12 = 41,300   Answer: $41300.
Answer: D
The average of six numbers is 3.9. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
Choose the correct choice from the following
A) 4.7	B) 4.45	C) 4.2	D) 4.1	E) 4.9

Solution: Explanation:   Sum of the remaining two numbers = (3.9 * 6) - [(3.4 * 2) + (3.85 * 2)]   = 23.40 - (6.8 + 7.7) = 23.40 - 14.5 = 8.90.   Required average = (8.9 / 2) = 4.45.   Answer: 4.45) 4.45
Answer: B
A train of length 250 m runs at a speed of 70 km/hr. What will be the time taken to cross any stationary object standing at the railway station? Choose the correct option: A) 20 sec B) 17.23 sec C) 12.86 sec D) 9.5 sec E) 8.5 sec

Solution: EXPLANATION:   Length of train = 250 m, speed of train = 70 km/hr   Length of train is always considered as distance, and hence here distance = 250 m   1) First convert speed of km/hr into m/s   Speed of train = 70 x	5	= 19.44 m/s   18   2) We know that,   Speed =	Distance /Time   Time taken to cross stationary object =	250 / 19.44   Time taken to cross stationary object= 12.86 sec   ANSWER IS 12.86 sec
Answer: C
if someone is ‘confounded’ means – he is puzzled, confused, bewildered stunned and ‘baffled’. Ask doubt using Question Id: 6320  Answers:
A) 21
B) 87
C) 278
D) 277
E) 261

Solution: Answer:278
Answer: C
In a certain government school, 40% of students are below 10 years of age. The number of students above 10 years of age is 5/6 th of the number of students of 10 years age which is 36. What is the total number of students in the school ?	Options:
A) 100  B) 72  C) 110  D) 135  E) 145

Solution: Explanation :   Solution: let the number of students be x. then, number of students of or above 10 years = (100-40)= 
(100-40) = 60
60% of x.   .'. 60% of x= 36 +5/6 *36   =>60/100 * x = 66   =>x = 110   Answer : 110
Answer: C
The area of a sector of a circle of radius 5 cm formed by an arc of length 5.5 cm is? Pick.
A) 13.78  B) 13.67  C) 13.75  D) 13.98  E) 13.28

Solution: (5 * 5.5)/2= 
(5 * 5.5)/2 = 13.75
13.75   Answer:13.75
Answer: C
What is the smallest no. that should be added to 41381 to make it exactly divisible by 9?
Choose one.
A) 1
B) 3
C) 5
D) 6
E) 9

Solution: If a number is divisible by 9, the sum of its digits must be a multiple of 9.   Here, 4+1+3+8+1=17, the next multiple of 9 is 18.   1 must be added to 41381 to make it divisible by 9   1
Answer: A
A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 4 characters in length. This year, it added the option of creating passwords having 5 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 63 unique alphanumeric case sensitive characters.  Select
A) 63^4  B) 62^5  C) 62(62^4)  D) 63(62^4)  E) 64(63^4)

Solution: Total number of passwords = number of 4 character password +number of 5 character password   = 63^4 + 63^5 (Since there is no limitation on repetition , each character can be chosen in 62 ways )   =63^4(1+ 63)   =63^4 * 64   Answer 64(63^4)
Answer: E
A number a is squared and then multiplied by negative 6. The result of this operation is equal to three times the sum of FOURTH times a and two. What is one possible value of a ? Options:
A) 2 B) 3 C) 4 D) 1 E) 5

Solution: -6*a^2=3(4a+2)   a= -1 or -1   a=-1=B   ANSWER:1
Answer: D
If a is an integer and b = 3a + 2, which of the following CANNOT be a divisor of b? Pick.
A) 6	B) 7	C) 8	D) 9	E) 10

Solution: Just to add some more to Bunuel's explanation, if a number is a multiple of 3, it will be in a form:   n = 3*k, where k is an integer   And if a number is a multiple of 6, it will be in a form :   m = 6*l, where l is an integer   so m = 2 * 3 * l = (2*l) * 3 = 3 * p, where p is an integer.   In other words, the prime factorization of m must have 3 as a factor, if it's a multiple of 6, but the expression can't have that (as explained by Bunuel), so it can't be a multiple of 6 either.   6nswer is 6
Answer: A
Bill has d animals, 32 of which were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, Bill made neither a profit nor a loss. Which of the following is equal to d?	Choose one:
A) 6 B) 12 C) 18 D) 24 E) 48

Solution: Total d animals, suppose each has price of x - total price = dx   now 32 were sold at profit of 10%, making equation - - 32*1.1x   now d-32 were sold at loss of 20%, making eqn --- (d-32)*0.8x   Now he made no profit or loss so,   dx = 32*1.1x + (d-32)*0.8x   solving for d, we get d=48   Ans 48
Answer: E
The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 63 ounces of this substance?  Pick.
A) 27	B) 36	C) 42	D) 64	E) 147

Solution: 112 ounces of a substance has a volume of 48 cubic inches   63 ounces of a substance has a volume of (48/112)*63= 
(48/112)*63 = 27
27 cubic inches   27nswer 27   27lternatively , we can use estimation   112 ounces of a substance has a volume of 48 cubic inches   56 ounces of a substance has a volume of 24 cubic inches   Therefore , 63 will have a volume a little more than 24 ,that is 27   27NSWER:27
Answer: A
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?	Select:
A) 1500
B) 1992
C) 9921
D) 2798
E) 2789

Solution: P = 15(100/10)2   => P = 1500   1500nswer: 1500
Answer: A
A train which has 600 m long, is running 60 kmph. In what time will it cross a person moving at 6 kmph in same direction ?  Choose the correct choice: A) 42 sec B) 44 sec C) 46 sec D) 40 sec E) 50 sec

Solution: Time taken to cross a moving person = length of train/ relative speed   Time taken = 600/((60-6) (5/18) = 600/ 54*(5/18) = 600/15= 
600/15 = 40
40 sec   Answer: 40 sec
Answer: D
Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next? Select the correct option.
A) 7	B) 10	C) 12	D) 13	E) 20

Solution: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.   12-2= 
12-2 = 10
10   Option 10
Answer: B
Mohit sold an article for $21000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?	Choose the correct answer: A) 16000 B) 25000 C) 15000 D) 18000 E) 17500

Solution: Let the CP be $x.   Had he offered 10% discount, profit = 8%   Profit = 8/100 x and hence his SP = x + 8/100 x = $1.08x = 21000 - 10/100(21000) = 21000 - 2100= 
21000 - 2100 = 18_900
$18900=> 1.08x = 18900   => x = 17500   17500
Answer: E
If the given two numbers are respectively 7% and 14% of a third number, then what percentage is the first of the second ?
Pick one:
A) 20%
B) 25%
C) 18%
D) 50%
E) none of these

Solution: Here, l = 7 and m = 14   Therefore, first number = l/m x 100% of second number = 7/14 x 100% of second number = 50% of second number   ANSWER:50%
Answer: D
At a local supermarket, a box of cereal usually costs 10 dollars. This week, the supermarket sells the box of cereal for 2 dollars. How much money will you save if you buy this cereal at this supermarket?  Options: A) 5 dollars B) 3 dollars C) 4 dollars D) 2 dollars E) 8 dollar

Solution: Solution:   In this situation, there is a decrease in the price.   Saving = 10 - 2= 
10 - 2 = 8
8 dollars   Option 8 dollar
Answer: E
A milk seller has certain quantity of milk to sell. In what ratio, should he mix water to gain 5% by selling the mixture at the cost price ?  Choose the correct choice
A) 1:10 B) 1:5 C) 1:20 D) 1:15 E) None of these

Solution: Let Cost price of 100 g milk was Rs. 100.   x +5% of x = 100   x + 0.05x = 100   1.05x = 100   x = 100/1.05 = 95.23   Water = 100 - 95.23 = 4.76   Ratio of water and Milk = 4.76 /95.23 = 1/20 = 1 : 20.   ANSWER : 1:20
Answer: C
Find the odd man out. 15, 20, 25, 32, 30, 45	Select the correct option:
A) 15 B) 20 C) 30 D) 32 E) 25

Solution: All numbers except 32 are multiples of 5   Answer is 32
Answer: D
In a box of 8 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?	Options
A) 2/10	B) 3/11	C) 4/13	D) 5/14	E) 6/17

Solution: P(neither pen is defective) = 5/8*4/7 = 5/14   The answer is 5/14.
Answer: D
A five-digit number is formed by using digits 1, 2, 3, 4 and 5 without repetition. What is the probability that the number is divisible by 4?
Select.
A) 1/5
B) 2/5
C) 3/5
D) 4/5
E) 6/5

Solution: A number divisible by 4 formed using the digits 1, 2, 3, 4 and 5 has to have the last two digits 12 or 24 or 32 or 52.   In each of these cases, the five digits number can be formed using the remaining 3 digits in 3! = 6 ways.   A number divisible by 4 can be formed in 6 x 4 = 24 ways.   Total number that can be formed using the digits 1, 2, 3, 4 and 5 without repetition = 5! = 120.   Hence, the required probability would be 24/120 = 1/5.   1/5NSWER:1/5
Answer: A
Dhoni weighs twice as much as Nameetha. Nameetha's weight is 65% of Bima's weight. Dravid weighs 40% of Leela's weight. Leela weighs 35% of Dhoni's weight. Who among these 5 persons weighs the least?  Select:
A) Dhoni  B) Bima  C) Nameetha  D) Leela  E) Dravid

Solution: if   Bima weight = x   we get   Nameetha's weight = 0.65x   Dhoni's weight = 1.3x   Leela's weight = 0.455x   and Dravid's weight = 0.182x   Answer : Dravid
Answer: E
In 1937, the ship of the great sailor SINBAD left an Egyptian port heading Ivory coast at W mile/month .
One month later another ship of the greatest pirate ever CHENG I SAO was 5000 miles due south of the same Egyptian port and heading due north at Y miles/month. Six months later after the leaving of Sinbad’s ship from Egyptian port, how far apart were the ships? [Ivory coast is in the west of Egypt] Choose the correct answer:	A) { (6W)^2 + (5000-5y)^2 }^1/2	B) { (36x)^2 + (5000-7y)^2 }^1/2	C) { (16x)^2 + (5000-7y)^2 }^1/2	D) { (7x)^2 + (5200-7y)^2 }^1/2	E) { (2x)^2 + (300-7y)^2 }^1/2

Solution: The chinese ship sailed for 5 months i.e. 5Y miles @Y miles/month, therefore distance from Egyptian port is 5000-5Y. Since { (6W)^2 + (5000-5y)^2 }^1/2 is the only option with this value ...therefore { (6W)^2 + (5000-5y)^2 }^1/2 is the answer
Answer: A