MU-NLPC/Calc-aqua_rat huggingface dataset:
The radius of a cylindrical vessel is 5cm and height is 3cm. Find the whole surface of the cylinder?
Choose the correct choice from the following:  A) 251.4 sq cm  B) 220 sq cm  C) 440 sq cm  D) 132 sq cm  E) 138 sq cm

Solution: r = 5 h = 3   2πr(h + r) = 2 * 22/7 * 5(8) = 251.4   251.4 sq cmNSWER:251.4 sq cm
Answer: A
In a apartment, 30% of the people speak English, 20% speak Hindi and 13% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi?  Choose the correct choice
A) 1/30
B) 2/30
C) 10/27
D) 2/90
E) 13/27

Solution: P (E) = 30 / 100 , P (H) = 20 / 100 and P (E âˆ© H) = 13 / 100 =   P (E or H) = P (E U H)   = P (E) + P (H) - P (E âˆ© H)   = (30 / 100) + (20/100 - (13 / 100) = 37/100 = 10/27   10/27
Answer: C
If 36 men can do a piece of work in 25 hours, in how mwny hours will15 men do it?  Choose the correct choice from the following answers:
A) 22  B) 38  C) 60  D) 88  E) 72

Solution: Explanation:   Let the required no of hours be x. Then   Less men , More hours (Indirct Proportion)   \inline \fn_jvn \therefore 15:36 ::25:x \inline \fn_jvn \Leftrightarrow (15 x X)=(36 x 25) \inline \fn_jvn \Leftrightarrow \inline \fn_jvn x=\frac{36\times 25}{15}=60   Hence, 15 men can do it in 60 hours.   Answer: 60) 60
Answer: C
A bookshop had science and art books in the ratio of 2:5. By the end of the week, 20% of both type of books were sold and 2240 books were unsold. How many art books were there at the starting?
Choose the correct choice from the following answers.
A) 1355
B) 1350
C) 1450
D) 1600
E) 2000

Solution: science books sold = 2x × 0.2 = 0.4x   science books unsold = 2x – 0.4x = 1.6x   art books sold = 5x × 0.2 = x   art books unsold = 5x – x = 4x   total books unsold = 1.6x + 4x = 5.6x   5.6x 1.6  + 4= 
1.6  + 4 = 5.6
5.6x   5.6x= 2240   x = 400   2x science = 800   and 5x art books = 2000   2000
Answer: E
In the xy-plane, a line has slope 3 and x-intercept 4. What is the y-intercept of the line?	Choose the correct choice from the following answers:
A) -12
B) -3
C) 0
D) 3
E) 9

Solution: Let the line be represented by a general equation y=mx+b, where m = slope (3) and b=y intercept. We are also given the value of x-intercept 4.   Theory : y intercept represents the point on the line where the x=0, and x intercept represents the point on the line where the y=0.   Putting these values in the equation : 0 = 3*4 + b => b = -12. Hence -12.
Answer: A
The income of a company increases 20% per annum. If its income is 2664000 in the year 1999 what was its income in the year 1997?	Answers:
A) 2220000  B) 2850000  C) 2121000  D) 1855000  E) None of these

Solution: Let income in 1997 = x   According to the question,   Income in 1998 = x + x⁄5 = 6x⁄5   Income in 1999 = 6x⁄5 + 6x⁄25 = 36x⁄25   But given, income in 1999 = 2664000   ∴ 36x⁄25 = 2664000 ⇒ x = 1850000   Answer None of these
Answer: E
5 men and 5 women participated in a interview. If two people get the job, how many chances there will be at least a man is
selected?	Choices.
A) 30 B) 32 C) 35 D) 31 E) 40

Solution: 5 women and 5 men. Two people is slelected   It is always better to subtract the total from none in case of at least one problems.   Total ways = 10352 = 45   Total ways without any man = 5352 = 10   Hence ways in which at least one man will be present = 45 - 10= 
45 - 10 = 35
35   35orrect option: 35
Answer: C
A right triangle PQR has sides such that the longest side PR is twice the length of side PQ and thrice the length of side QR. If PR = 6, what is the area of the triangle?  Select the correct option:
A) 6	B) 36	C) 3	D) 2	E) 4

Solution: Since PR is twice of PQ, so PQ=3 and QR=2 since PR is thrice of QR. Area of right triangle equals PQ*QR/2. So the correct answer is 3.
Answer: C
An isosceles triangle has a perimetre of 37 centimetres and its base has a length of 9 centimetres. The other two sides will each have a length of
?	Choose the correct choice from the following choices:	A) 14 cm	B) 15 cm	C) 16 cm	D) 17 cm	E) 18 cm

Solution: Solution:   The isosceles triangle has two equal sides. The sum of the equal sides will be 37 - 9= 
37 - 9 = 28
28 cm . Thus, one of them will be 28 ÷ 2= 14 cm   14 cmnswer 14 cm
Answer: A
Of the employees in a company, 30 % are female who have a master degree. If 20 % of the female employees do not have a master degree, what percent of the employees in the company are female? Select the correct option.
A) 25 %	B) 30 %	C) 32.5 %	D) 37.5 %	E) 45 %

Solution: No. of female employees with Masters = 0.3 x E (From the question)   No. of female employees without masters = 0.2 x F (From the question)   Therefore No. of female employees with masters = F - 0.2 F = 0.8 F   The 2 expressions equal each other therefore 0.8F = 0.3E; F/E = 0.3/0.8 = 37.5%   Ans: 37.5 %
Answer: D
If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land Tails up exectly twice in 3 consecutive flips ?
Choose the correct choice from the following answers.
A) 0.375
B) 0.25
C) 0.325
D) 0.5
E) 0.666

Solution: Total number of ways in which H or T can appear in 3 tosses of coin is   = 2 * 2 * 2= 
2 * 2 * 2 = 8
8 ways   For 2 T and 1 TH   Thus probability is= P(HTT) + P(TTH) + P(THT)   = 1/8 + 1/8 + 1/8   = 3/8= 
3/8 = 3/8 = around 0.375
.375   0.375nswer :0.375
Answer: A
Find the no.of ways of arranging the boy and 4 guests at a circular table so that the boy always sits in a particular seat?  Options.
A) 7!  B) 4!  C) 9!  D) 10!  E) 11!

Solution: Ans.(B)   Sol. Total number of persons = 5 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 4 places in 4P4 = 4! Ways ... The number of required arrangements = 4! x 1= 4! = 4! ways
Answer: B
The difference of 2 digit number & the number obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2 ?  Select:  A) 4  B) 8  C) 9  D) 10  E) 12

Solution: Let the number be xy.   Given xy – yx = 36.   This means the number is greater is than the number got on reversing the digits.   This shows that the ten’s digit x > unit digit y.   Also given ratio between digits is 1 : 2 => x = 2y   (10x + y) – (10y +x) = 36 => x – y = 4 => 2y – y =4.   Hence, (x + y) – (x – y) = 3y – y = 2y = 8   8
Answer: B
The length of the rectangular field is double its width. Inside the field there is square shaped pond 5m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field? Options.
A) 54	B) 32	C) 75	D) 20	E) 11

Solution: A/8 = 5 * 5 => A = 5 * 5 * 8   x * 2x = 5 * 5 * 8   x = 10 => 2x = 20   Answer:20
Answer: D
Given 2 numbers; 8 and q, the LCM and HCF of both numbers is 72 and 1 respectively. Find q?  Choose the correct choice from the following:
A) 3
B) 5
C) 6
D) 9
E) 7

Solution: HCF x LCM = Product of Numbers   1 x 72 = 8 x q   q = (1 x 72) / 8   other number = 9   ANSWER : 9
Answer: D
Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and PR is parallel to the x-axis. The x and Y coordinates of P,Q and R are to be integers that satisfy the inequalitites -4≤ X≤ 5 and 6≤ y≤ 16. How many different triangles with these properties could be constructed?
Choose the most appropriate option
A) 110
B) 1100
C) 9900
D) 10000
E) 12100

Solution: total values for x=10;y=11   x1,y1=10*11.......................coordinates of 1st pnt   x2,y2=9*1(y2=y1)............... coordinates of 2nd pnt y coordinates will be same as that of 1st pnt bcoz it is parallel to x axis   x3,y3=1*10(x2=x3)..........coordinates of 3rd pt. x coordinates will be same as that of 2nd point bcoz to make a right angle it has to be parallel to y axis   tot ways=10*11*9*1*1*10= 
10*11*9*1*1*10 = 9_900
9900   ANS:9900
Answer: C
What is the dividend. divisor 16, the quotient is 6 and the remainder is 2
Choose the correct option
A) 86	B) 87	C) 88	D) 89	E) 90

Solution: 88 = d * Q + R   88 = 16 * 6 + 2   88 = 86 + 2   88 = 88
Answer: C
If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?	Choose the correct choice.
A) 1.44% B) 1.74% C) 1.84% D) 1.47% E) 1.24%

Solution: SP of each car is Rs. 325475, he gains 12% on first car and losses 12% on second car.   In this case, there will be loss and percentage of loss is given by   = [(profit%)(loss%)]/100   = (12)(12)/100 % = 1.44%   1.44%nswer:1.44%
Answer: A
Three hundred students at College Q study a foreign language. Of these, 120 of those students study French, and 170 study Spanish. If at least 90 students who study a foreign language at College Q study neither French nor Spanish, then the number of students who study Spanish but not French could be any number from Choose the correct answer:
A) 10 to 40
B) 50 to 90
C) 60 to 100
D) 60 to 110
E) 70 to 110

Solution: 120 students study French   180 students do not study French   170 students study Spanish   130 students do not study Spanish   90 students study neither French nor Spanish   180-130= 
180-130 = 50
50   180-90= 
180-90 = 90
90   B. 50 to 90
Answer: B
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 22 seconds. The ratio of their speeds is? Choose the correct choice from the following answers
A) 3/7  B) 3/2  C) 3/5  D) 3/1  E) 5/5

Solution: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 22   ==> 27 x + 17 y = 22x + 22 y ==> 5 x = 5 y ==> x/y   = 5/5.   Answer: 5/5
Answer: E
The heights of two right circular cones are in the ratio 1 : 2 and the perimeters of their bases are in the ratio 3 : 4. Find the ratio of their volumes.	Choose the correct choice:
A) 1:14	B) 12:4	C) 9:6	D) 1:7	E) 9:32

Solution: Let the radii of their bases be r and R and their heights be h and 2h respectively.   Then,(2r/2R)=(3/4)  R=(4/3)r.    Ratio of volumes = (((1/3)r2h)/((1/3)(4/3r)2(2h)))=9: 32.   ANSW9:32R 9:32 9:32
Answer: E
If a - b = 5 and a2 + b2 = 34, find the value of ab.	Pick:
A) A)4.5
B) B)12
C) C)15
D) D)18
E) E)20

Solution: Explanation:   2ab = (a2 + b2) - (a - b)2   = 34 - 25= 
34 - 25 = 9
9   ab= 4.5.   4.5nswer: 4.5
Answer: A
Dawson got a weekly raise of $160. If he gets paid every other week, write an integer describing how the raise will affect his paycheck.  Choose the correct choice
A) 150 B) 160 C) 170 D) 180 E) 190

Solution: Let the 1st paycheck be x (integer).   Dawson got a weekly raise of $ 160.   So after completing the 1st week she will get $ (x+160).   Similarly after completing the 2nd week she will get $ (x + 160) + $ 160.   = $ (x + 160 + 160)   = $ (x + 320)   So in this way end of every week her salary will increase by (160)$ 160.
Answer: B
$500 will become $1000 in 6 years find the rate of interest?
Choose the correct choice.
A) A)16.67%
B) B)20%
C) C)25%
D) D)30%
E) E)50%

Solution: SI = simple interest = 16.67%-P = 1000-500= 
1000-500 = 500
$500   R= 100SI/PT = 100*500/500*6 =16.67%   16.67%nswer is 16.67%
Answer: A
Which one of the following numbers can be removed from the set S = {0, 2, 4, 5, 9} without changing the average of set S? Choose the correct choice from the following options.
A) 0  B) 2  C) 4  D) 5  E) 6

Solution: Solution:   The average of the elements in the original set S is: (0+2+4+5+9) /5 =20 /5= 
20 /5 = 4
4.   If we remove an element that equals the average, then the average of the new set will remain unchanged. The new set after removing 4 is {0, 2, 5, 9}.   The average of the elements is,   (0+2+5+9) /4=16 /4= 
16 /4 = 4
4.   Answer: Option 4
Answer: C
A man swims downstream 72 km and upstream 45 km taking 12 hours each time; what is the speed of the current? Pick:  A) 1.125  B) 1.128  C) 1.126  D) 1.123  E) 1.121

Solution: 72 --- 12 DS = 6   ? ---- 1   45 ---- 12 US = 3.75   ? ---- 1 S = ?   S = (6 - 3.75)/2= 
(6 - 3.75)/2 = 1.125
1.125   1.125nswer:1.125
Answer: A
If y is a positive even integer, and n and m are consecutive integers, then (n - m)^y/(m - n)^y =
Pick.
A) -2
B) -1
C) 0
D) 1
E) 2

Solution: y= +ve even integer   Since,n and m are consecutive integers , their difference will be 1   ((n-m)^y)/((m-n)^y)= ((n-m)/(m-n))^y = (-1)^y   Since we are raising the difference of n and m to power y , which is even , the answer will be 1 .   Answer 1
Answer: D
A car traveled 75% of the way from town A to town B at an average speed of 60 miles per hour. The car travels at an average speed of S miles per hour for the remaining part of the trip. The average speed for the entire trip was 40 miles per hour. What is S ?
Choose the correct answer:
A) 10
B) 20
C) 25
D) 30
E) 37.5

Solution: Total distance = 100 miles (easier to work with %)   75% of the distance = 75 miles   25% of the distance = 25 miles   1st part of the trip →  75/60= 
 75/60 = 5/4 = around 1.25
1.25   2nd part of the trip → 25/S= t   Total trip → (75+25)/40 = 1.25 + t » 100/40 = 1.25 + t » 2.5 = 1.25 + t » t = 1.25   20ack to 2nd part of the trip formula: 25/S = 1.25 » S = 20   Ans 20
Answer: B
Here is 15 dots. If you select 3 dots randomly, what is the probability that 3 dots make a triangle?	Choices.
A) 440/455
B) 412/455
C) 434/455
D) 449/455
E) 438/455

Solution: Total ways of selecting 3 dots out of 15 is 15C3 = 455 If 3 dots are collinear then triangle may not be formed. Now look at the above diagram. If we select any 3 dots from the red lines they may not form a triangle. They are 3 x 5C3 = 30. If we select the three letters from blue lines, they may not form a triangle. They are in total 5 ways. Also there are 6 others lines which don't form a triangle. Also another two orange lines. Total = 30 + 5 + 6 + 2= 
30 + 5 + 6 + 2 = 43
43. So we can form a triangle in 455 - 43= 
455 - 43 = 412
412. So answer could be 412/455.   ANSWER:412/455
Answer: B
If f(2, 7) = 57 and f(1, 6) = 37, what is the value of f(3, 10)?  Choose the correct option.
A) 107
B) 127
C) 147
D) None of these
E) Cannot be determined

Solution: Solution:   The function f(a, b) = a3 + b2   f(2, 7) therefore is = 23 + 72 = 8 + 49= 
8 + 49 = 57
57 and   f(1, 6)= 13 + 62 = 1 + 36= 
1 + 36 = 37
37.   Therefore, f(3, 10)= 33 + 102 = 27 + 100= 
27 + 100 = 127
127.   Answer 127
Answer: B
Usually the room tariff in this hotel is higher. At present, it is low because of the ______ season.
a. peak  Pick one:
A) PINK	B) bkue	C) orancge	D) off	E) iwww

Solution: Explanation:   Because of the Off season.   Answer:off
Answer: D
A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?	Choose the correct choice from the following options.
A) 5/6  B) 5/9  C) 5/4  D) 5/2  E) 5/1

Solution: Two balls can be picked from nine balls in ⁹C₂ ways.   We select one white ball and one red ball from five white balls and four red balls. This can be done ⁵C₁ . ⁴C₁ ways.   The required probability = (5 * 4)/⁹C₂ = 20/36 = 5/9   Answer: 5/9
Answer: B
How many seconds will a 650 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 48 km/hr?	Choose the most appropriate option
A) 25
B) 45
C) 54
D) 44
E) 48

Solution: Speed of train relative to man = 48- 3= 
48- 3 = 45
45 km/hr.= 45 * 5/18 = 25/2 m/sec.   Time taken to pass the man = 650 * 2/25 = 54 sec.   Answer: 54
Answer: C
What will be the compound interest on Rs. 25000 after 3 years at the rate of 12 % per annum  Choose the correct choice from the following options:
A) Rs 10123.20 B) Rs 10123.30 C) Rs 10123.40 D) Rs 10123.50 E) None of these

Solution: Explanation:   (25000×(1+12/100)3)   =>25000×28/25×28/25×28/25   =>35123.20   So Compound interest will be   35123.20 - 25000= 
  35123.20 - 25000 = 10_123.2
Rs 10123.20   Option Rs 10123.20
Answer: A
If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Choices.
A) 192 km	B) 162 km	C) 172 km	D) 168 km	E) 112 km

Solution: 12 m/s = 12 * 18/5 kmph   3 hours 45 minutes = 3 3/4 hours = 15/4 hours   Distance = speed * time = 12 * 18/5 * 15/4= 
12 * 18/5 * 15/4 = 162
162 km.   Answer:162 km
Answer: B
If a and b are prime numbers, which of the following CANNOT be (x + y)?  Pick one.
A) 5 B) 9 C) 13 D) 16 E) 23

Solution: All answer choices but E are odd. In order odd number to be the sum of two prime numbers one must be even, so 2, and another odd.   Now, 23=2+21. Since 21 is not a prime then 23 cannot be written as the sum of two prime numbers.   Answer: 23.
Answer: E
Two 6 faced dice are thrown together. The probability that all the three show the same number on them is? Choose the correct option.
A) 1/32	B) 1/6	C) 1/33	D) 1/38	E) 1/34

Solution: The three dice can fall in 6 * 6= 
6 * 6 = 36
36 ways.   Hence the probability is 6/36= 1/6   Answer: 1/6
Answer: B
12 is 6% of a, and 6 is 12% of b. c equals b/a. What is the value of c?	Pick:
A) 1 / 2  B) 1 / 3  C) 1 / 4  D) 1 /6  E) 1 / 12

Solution: 6a/100 = 12   a = 200   12b/100 = 6   b = 50   c = b/a = 50 / 200 = 1/4   The answer is 1 / 4.
Answer: C
Share Rs.4200 among John, Jose & Binoy in the ration 2 : 4 : 6.Find the amount received by John?  Options:
A) 900
B) 980
C) 1200
D) 1240
E) 1400

Solution: Amount received by sanjay.   4 / 12 X 4200 = 1400= ( related ratio / sum of ratio ) x Total amount   So, the Amount received by sanjay is 1400.   1400
Answer: E
If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
Answers.
A) 20:15:18
B) 20:15:16
C) 20:15:12
D) 20:15:11
E) 20:15:15

Solution: 6A = 8B = 10 20:15:12   A:B:20:15:12 = 1/6:1/8:1/10   = 20:15:12   Answer: 20:15:12
Answer: C
In how many way the letter of the word "APPLE" can be arranged  Choose one:
A) 20  B) 40  C) 60  D) 80  E) 90

Solution: Explanation:   Friends the main point to note in this question is letter "P" is written twice in the word.   Easy way to solve this type of permutation question is as,   So word APPLE contains 1A, 2P, 1L and 1E   Required number =   =5!/1!∗2!∗1!∗1!=5∗4∗3∗2!/2!=60   Option 60
Answer: C
Jar A has 16% more marbles than Jar B . What percent of marbles from Jar A need to be moved into Jar B so that both jars have equal marbles?
Choose the most appropriate option:  A) 5%  B) 7%  C) 9%  D) 11%  E) 13%

Solution: An easy way to solve this question is by number plugging. Assume there are 100 marbles in Jar B then in Jar A there will be 116 marbles. Now, for both jars to have equal marbles we should move 8 marbles from A to B, which is 8/116=~7% of A.   Answer: 7%.
Answer: B
If green means red, red means white, white means blue, blue means orange and orange means green, what is the colour of snow ?  Choose the correct option:
A) Blue  B) Green  C) Yellow  D) Red  E) Pink

Solution: Explanation:   The colour of snow is 'blue' and as given 'White' means Blue'.   so, the snow is 'blue'.   Bluenswer: Blue
Answer: A
If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?  Choose the correct choice from the following choices:
A) 288
B) 327
C) 585
D) 972
E) 271

Solution: 90 = (450*4*R)/100   R = 5%   I = (450*6*5)/100= 
(450*6*5)/100 = 135
135   450 + 135= 
450 + 135 = 585
585   Answer: 585
Answer: C
A sum fetched total simple interest of 4016.25 at the rate of 13 p.c.p.a. in 5 years. What is the sum?  Choose the correct choice from the following options.
A) 6178.85 B) 8032.5 C) 4462.5 D) 8900 E) None of these

Solution: Let the sums be P.   Now, 65% of P = 4016.25   or, P = 6178.85   6178.85nswer 6178.85
Answer: A
There are 100 freshmen at a particular college, all of whom must take at least one of the three core classes: Art, Biology, and Calculus. Of these freshmen, 21 take only Biology, 10 take only Calculus, 5 take all three classes, and 20 take Art and exactly one of the other two core classes. If the number of freshmen who take only Art is 3 times the number of freshmen who take every core class except Art, how many freshmen take Art?  Choices.
A) 25
B) 32
C) 36
D) 58
E) 61

Solution: Make a venn diagram to get a clear picture. Look at the diagram:   Each letter represents only one color. b represents the people who take only Art. d represents people who take only Art and Bio etc.   d + f = 20 (People who take Art and one other class)   b = 3e (people who take only Art is 3 times the people who take Bio and Calculus)   21 + 10 + 5 + b + d + e + f = 100 (Total people)   b + b/3 = 44   b = 33   Number of freshmen who take Art = 33 + 20 + 5= 
33 + 20 + 5 = 58
58   Answer 58
Answer: D
If 1/2 of a pencil is blue, 1/8 of the remaining is red and the remaining 3/8 is white, what is the total length of the pencil? Choose the correct choice from the following answers
A) 5	B) 3	C) 1	D) 4	E) 2

Solution: Blue is 1/2 but can also be written as 4/8Red is 1/8White is 3/84/8+1/8+3/8= 8/8= 
8/8 = 1
1Answer is 1) 1
Answer: C
Look at this series: 7, 10, 8, 11, 9, 12, 10, 13, 11, 14, ... What number should come next?
Choose the correct choice from the following answers:
A) 10	B) 11	C) 12	D) 13	E) 14

Solution: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.   The answer is 12.
Answer: C
In a party attended by 13 persons, each clinch their glass with every other. How many glass clinches?	Choose the correct option.
A) 51  B) 52  C) 78  D) 54  E) 55

Solution: Total no. of person = 11   Total no. of glass clinches = n(n-1)/2   =13*12/2= 
13*12/2 = 78
78   ANSWER:78
Answer: C
Two persons start running simultaneously around a circular track of length 200 m from the same point at speeds of 6 km/hr and 12 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?	Choose the correct answer:  A) 28 sec  B) 37 sec  C) 17 sec  D) 60 sec  E) 27 sec

Solution: Time taken to meet for the first time anywhere on the track   = length of the track / relative speed   = 200 / (6+ 12)5/18 = 300* 18 / 18 * 5 = 60 seconds.   Answer : 60 sec
Answer: D
4 shepherds were watching over the flocks and they were commenting on how many sheep they each had. If ram had 3 more sheep than he would have one less than rahul. wheras akar has the same number as the other 3 shepherds put togeher. If john had 3 less sheep he would have exactly trile the number of ram. If they were evenly distributed if they would each have 11 seep how many sheep did ram have? Choose the correct answer:
A) 2  B) 3  C) 4  D) 5  E) 6

Solution: akar has=ram+rahul+john   after evenly distribution each has 11. so, total no. is 44   so, akar has=22 & ram+rahul+john=22 also ram=rahul-4 & john-3=3*ram solving these we get the sol.   ANSWER:3
Answer: B
Reduce
368/575 to the lowest terms.	Pick one
A) 30/25  B) 28/29  C) 27/29  D) 16/25  E) 17/28

Solution: Explanation:   We can do it easily by in two steps   Step1: We get the HCF of 368 and 575 which is 23   Step2: 16/25ivide both by 23, we will get the answer 16/25   Option 16/25
Answer: D
A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
A. 15 kmph B. 10 kmph	Choose the correct choice from the following answers.
A) 12.9 kmph  B) 28.8 kmph  C) 28.9 kmph  D) 12.5 kmph  E) 29.9 kmph

Solution: Let the speed of the man in still water be a kmph and let the speed of the stream be b kmph.   Now 30/(a + b) + 20/(a - b) = 4 and 45/(a + b) + 40/(a - b) = 7   Solving the equation, the speed of man in still water is 12.5 kmph.   Answer:12.5 kmph
Answer: D
What is the two-digit number?
I. Sum of the digits is 7.
II. Difference between the number and the number obtained by interchanging the digits is 9.
III. Digit in the ten's place is bigger than the digit in the unit's place by 1.  Options:
A) I and II B) II and III C) I and III only D) All E) I and II as well as I and III

Solution: Answer: Option E   Explanation:   Let the tens and units digit be x and y respectively.   I. x + y = 7.   II. (10x + y) - (10y + x) = 9 x - y = 1.   III. x - y = 1.   Thus, I and II as well as I and III give the answer.   Correct answer is (I and II as well as I and III).
Answer: E