MU-NLPC/Calc-aqua_rat huggingface dataset:
In how many ways can an animal trainer arrange 5 lions and 4 tigers in a row so that no two lions are together? Choose one.
A) 2880	B) 3000	C) 3100	D) 3200	E) 3400

Solution: They have to be arranged in the following way:   | L | T | L | T | L | T | L | T | L |   The 5 lions should be arranged in the 5 places marked 'L'.   This can be done in 5! ways.   The 4 tigers should be in the 4 places marked 'T'.   This can be done in 4! ways.   Therefore, the lions and the tigers can be arranged in 5!×4!=5!×4!= 2880 ways   Option is 2880
Answer: A
On increasing the number of lines in a page by 60, they become 240. What is the % of increase in the no. of lines in the page?	Choose the correct choice from the following answers.
A) 33.3%  B) 305  C) 50%  D) 55%  E) 60%

Solution: Explanation : Number of pages increased = 60   Now , the number of pages of book = 240   Number of pages of the books before increase = 240 – 60 = 180   % increase in the number of pages in the book = 60 /180   x 100% = 33.3%   33.3%
Answer: A
x and y are positive integers. If 1/x + 1/y < 2, which of the following must be true?
Select the correct option
A) x + y > 4  B) xy>1  C) x/y + y/x < 1  D) (x - y)^2 > 0  E) None of the above

Solution: since x and y are both +ive int, x*y>1... only exception being x=y=1 as it is not given they are different integers...   however it is given 1/x +1/y<2.. this cannot be true if x=y=1.... so one or both have to be > 1   ANSWER:xy>1
Answer: B
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 26000, then the share of B is?
Pick.
A) s.12028 B) s.12000 C) s.12003 D) s.12029 E) s.24029

Solution: Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6   Total profit = Rs. 26000   Share of s.12000 = 6/13 (26000) = Rs.12000   Answer: s.12000
Answer: B
Two trains of length 100 m and 200 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet? Choose the correct option.
A) 18 sec  B) 15 sec  C) 21 sec  D) 20 sec  E) 19 sec

Solution: Relative speed = (42 + 30) * 5/18 = 4 * 5= 
4 * 5 = 20
20 mps.   Distance covered in passing each other= 100 + 200= 
100 + 200 = 300
300 m.   The time required= d/s   = 300/20= 
300/20 = 15
15 sec.   Answer: 15 sec
Answer: B
Mr. Smith calculated the average of 10 three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 39.6 The difference between the unit digit and hundreds digit of that number is : Answers: A) 2 B) 4 C) 5 D) 6 E) 7

Solution: Since the average increased by 39.6 and there were a total of 10 numbers, it means the incorrect number was 39.6 greater than the correct number.   Say, the correct number was abc (where a, b and c are the digits of the 3 digit number)   Then the incorrect number was cba.   100c + 10b + a - (100a + 10b + c) = 396   99c - 99a = 99(c - a) = 396   99*4 = 99(c - a)   So c - a = 4   Answer (4)
Answer: B
A train passes a platform in 32 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is
Choices.
A) 180 meter
B) 240 meter
C) 200 meter
D) 260 meter
E) None of these

Solution: Explanation:   Speed of the train = 54 km/hr = (54×10)/32 m/s = 15 m/s   Length of the train = speed × time taken to cross the man = 15×20 = 300 m   Let the length of the platform = L   Time taken to cross the platform = (300+L)/15   => (300+L)/15 = 32   => 300+L = 15×32 =480   => L = 480-300= 
480-300 = 180
180 meter   180 meternswer: Option 180 meter
Answer: A
A wooden cube whose edge length is 5 inches is composed of smaller cubes with edge lengths of one inch. The outside surface of the large cube is painted red and then it is split up into its smaller cubes. If one cube is randomly selected from the small cubes, what is the probability that the cube will have at least one red face?  Pick one.
A) 70.6%
B) 74.5%
C) 78.4%
D) 82.1%
E) 86.9%

Solution: There are a total of 5*5*5= 
5*5*5 = 125
125 cubes.   All the exterior cubes will have at least one face painted red.   The interior is formed by   3*3*3= 
  3*3*3 = 27
27 cubes.   The number of cubes with at least one side painted red is  125 - 27= 
 125 - 27 = 98
98 cubes   The probability that a cube has at least one side painted red is 98/125 which is 78.4%   The answer is 78.4%.
Answer: C
In a code language “He gives flower” is written as “nop lui na” , “Bunty gets flower” is written as “dus lap na” and “He gets nothing” is written as “nop lap ugli”. How would “Bunty gets nothing” be written in that code ?	Pick:	A) dus lap ugli	B) dus lap uglJ	C) dus lap ugl2	D) Dus lFp ugli	E) dus ap uglDi

Solution: Explanation:   He gives flower ---------> nop lui na ---------- (a)   Bunty gets flower -------> dus lap na ----------- (b)   He gets nothing ----------> nop lap ugli --------- (c)   From a and b, we get “flower ===> na”; while from b and c, we get “gets ===> lap”. Hence from b, we get “Bunty ===> dus”. Now from a and c, we get “He ===> nop”.   Hence from c, we get “nothing ===> ugli”. Hence we have “Bunty gets nothing ===> dus lap ugli”.   dus lap ugliNSWER: dus lap ugli
Answer: A
Five family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table are possible? Answers
A) 10 B) 12 C) 14 D) 16 E) 18

Solution: Let's consider Michael and Bobby as one unit.   There are 4! possible arrangements of 4 units.   Around a table, there would be repetitions of each arrangement, so we divide by 4.   Then there are 3! arrangements around a circular table.   For each arrangement, Michael and Bobby can switch places, so we multiply by 2.   The number of arrangements is 3!*2 = 12.   The answer is 12.
Answer: B
If the selling price of 50 articles is equal to the cost price of 35 articles, then the loss or gain percent is:
Select:
A) 45%
B) 23%
C) 30%
D) 60%
E) 56%

Solution: C.P. of each article be Re. 1.   Then, C.P. of 50 articles = Rs. 50;   S.P. of 50 articles = Rs. 35.   Loss % = 15/50 * 100= 
15/50 * 100 = 30
30%   ANSWER 30%
Answer: C
In a certain sequence, each term except for the first term is one less than twice the previous term. If the first term is 1.25, then the 3rd term is which of the following?	Choices
A) −1.5 B) −1 C) 0 D) 0.5 E) 2

Solution: First = 1.25   Second = 2*1.25-1= 
2*1.25-1 = 1.5
1.5   Second= 2*1.5-1= 
2*1.5-1 = 2
2   Answer: option 2
Answer: E
A group of four girls and three boys have tickets for seven adjacent seats in one row of a theater. If the three boys will not sit in three adjacent seats, how many possible different seating arrangements are there for these 7 theatre-goers? Choose the most appropriate option
A) 7! – 2!3!2! B) 7! – 4!3! C) 7 × 2!3!2! D) 7! – 5!3! E) 2!3!2!

Solution: There are 3 boys and 4 girls , we want to calculate the seating arrangements if three boys do not sit together, like MMM.   Let's calculate the # of arrangements when they SIT together and subtract from total # of arrangements of these 7 persons without restriction. Thus we'll get the # of arrangements asked in the question.   1. Total # of arrangements of 7 is 7!.   2. # of arrangements when 3 boys are seated together, like MMM;   Among themselves these 3 boys can sit in 3! # of ways,   Now consider these 3 boys as one unit like this {MMM}. We'll have total of 5 units: {MMM}{W}{W}{W}{W}. The # of arrangements of these 5 units is 5!.   Hence total # of arrangements when 3 men sit together is: 3!5!.   # of arrangements when 3 boys do not sit together would be: 7!-3!5!.   Answer: 7! – 5!3!).
Answer: D
If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 231 games will be played during the tournament. What is the number of participants? Choose one:
A) 16
B) 18
C) 20
D) 22
E) 24

Solution: Let n be the number of participants.   The number of games is nC2 = n*(n-1) / 2 = 231   n*(n-1) = 462 = 22*21 (trial and error)   The answer is 22.
Answer: D
A club with a total membership of 30 has formed 3 committees, M, S and R, which have 8, 12 and 7 members respectively. If no members of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees? Choose one:
A) 5
B) 7
C) 8
D) 10
E) 12

Solution: As no member of committee M is on either of the other 2 committees then 30-M=30-8= 
30-8 = 22
22 people are on committee S, committee R or on none of the committee. We want to maximize the last group: members in the club who are on none of the committees   General rule for such kind of problems:   to maximize one quantity, minimize the others;   to minimize one quantity, maximize the others.   So we should minimize total # of people who are on committee S and committee R. Now if ALL 5 people who are the members of committee R are also the members of committee S (if R is subset of S) then total # members of committee S and committee R would be minimized and equal to 12. Which means that 22-12= 
22-12 = 10
10 is the greatest possible number of members in the club who are on none of the committees.   Answer: 10.
Answer: D
A train 140 m long, running with a speed of 63 km/hr will pass a tree in?	Choose one.
A) 18 sec
B) 6 sec
C) 8 sec
D) 15 sec
E) 7 sec

Solution: Speed = 63 * 5/18 = 35/2 m/sec   Time taken = 140 * 2/35= 
140 * 2/35 = 8
8 sec   Answer:8 sec
Answer: C
Jenny has recently moved house and is working out her optimal commute. She can take an indirect route which involves taking a bus for 1 mile and then walk 0.75 miles. Or she can take a direct route and walk for 1.5 miles and this takes her 30 minutes. What is the most amount time that the bus journey can take for Jenny to be indifferent between the two routes assuming travel time is her only concern?	Choices
A) 5 minutes	B) 10 minutes	C) 15 minutes	D) 20 minutes	E) 25 minutes

Solution: If Jenny can walk 1.5 miles in 30 minutes, then she can talk 0.75 miles in half the time i.e. 15 minutes.   For Jenny to be indifferent between the two routes, the two journeys must have the same travel time.   The direct route has a travel time of 30 minutes (walking).   The indirect route has a travel time of 15 minutes (walking) plus the bus journey.   For the two routes to be the same the bus journey must take 15 minutes (30-15).   ANSWER: 15 minutes
Answer: C
What are the last two digits of (301*402*503*604*646*547*448*348)^2  Pick one: A) 86 B) 76 C) 56 D) 36 E) 16

Solution: ((301*402*503*604*646)*(547*448*348))^2   If you observe above digits, last digit are: 1,2,3,4,6,7,8,8; 5 is missing; so I have rearranged them so that multiplication will be easy for me as initial 4 digits have last two digits as 01,02,03,04,46 and final three as 47*48*48.   Solving for only last two digits and multiplying them we get:( (06*04*46)(56*48))^2 = (44*88)^2=72^2=84   Hence answer is 86
Answer: A
Find the odd man out
2880, 480, 96, 24, 10, 4, 4  Select the correct option:	A) 480	B) 96	C) 24	D) 10	E) 4

Solution: from the right side   4*1= 
4*1 = 4
4,   4*2= 
4*2 = 8
8 but here given 10 so it's not.   8*3= 
8*3 = 24
24   24*4= 
24*4 = 96
96   96*5= 
96*5 = 480
480   480*6= 
480*6 = 2_880
2880   ANSWER:10
Answer: D
16 boys or 24 girls can construct the wall in 6 days. the number of days that 8 boys and 12 girls Will take to construct?
Choose the correct answer.
A) 7 days B) 14 days C) 6 days D) 8 days E) 9 days

Solution: Explanation:   16 boys =24 girls, 1 boy = 24/16 girls   1 boy = 6/4 girls   8 boys + 12 girls = 8 × 6/4 + 12 = 12 + 12= 
12 + 12 = 24
24 girls   6 days to complete the work   Answer: Option 6 days
Answer: C
If two integers x, y (x>y) are selected from -10 to 4 (inclusive), how many possible cases are there?
Select: A) 150 B) 180 C) 190 D) 210 E) 105

Solution: If two integers x, y (x>y) are selected from -10 to 9 (inclusive), how many possible cases are there?   A. 150   B. 180   C. 190   D. 210   E. 240   --> 15C2=15*14/2= 
15*14/2 = 105
105. Therefore, the answer is 105.
Answer: E
7 girls buy hand bag cost 70 dollars. On account of Christmas there is 20% discount. They Buy hand mirrors with their savings on bag. what is actual cost of each mirror.  Choose the correct option.
A) 15.5  B) 14  C) 17.5  D) 15  E) 19.5

Solution: Solution: E.70*7 = 490 without off. 490 with 20% of is 392. and total 98 savings and 14 dollars each girl. mirror cost 14 but still Christmas discount applies. so actual cost of mirror is 17.5 dollars
Answer: C
In how many ways can the letters of the word MOUSES be arranged?
Select the correct option:  A) 390  B) 360  C) 320  D) 330  E) 300

Solution: MOUSES has 6 words, but S is repeated two times. Thus ways = 6! / 2! = 360 ways   360
Answer: B
A and B can do a job is 16 days and 12 days respectively. 4 days before finishing the job, A joins B. B has started the work alone. Find how many days B has worked alone?
Choose the correct choice from the following answers
A) 6 days	B) 4 days	C) 5 days	D) 7 days	E) None of these

Solution: A’s one day’s work = 1⁄16 th work   B’s one day’s work 1⁄12 th work   Let B has worked alone = x days. Then,   A’s amount of work + B’s amount of work = 1   ⇒ 4(1⁄16) + (x + 4)(1⁄12) = 1   ⇒ 1/4+x+4/12 = 1 ⇒ x = 3⁄4 × 12 - 4   ⇒ x = 5 days.   Answer 5 days
Answer: C
On July 1 of last year, total employees at company E was decreased by 10 percent. Without any change in the salaries of the remaining employees, the average (arithmetic mean) employee salary was 10 percent more after the decrease in the number of employees than before the decrease. The total of the combined salaries of all the employees at Company E after July 1 last year was what percent Q of thatbeforeJuly 1 last year? Choose the correct choice from the following choices:
A) 90%
B) 99%
C) 100%
D) 101%
E) 110%

Solution: the total number of employees = n   the average salary = x   total salary to all emplyoees = xn   after   the total number of employees = n - 0.1n = 0.9n   the average salary = x + 10% of x = 1.1x   total salary to all emplyoees = 0.9n (1.1x)   total salary after as a % of total salary before Q= [0.9n (1.1x)]/xn= 0.99 or 99%=99%
Answer: B
What is the % change in the area of a rectangle when its length increases by 25% and its width decreases by 25%?  Choose the correct answer:
A) 0%
B) 20% increase
C) 20% decrease
D) 6% decrease
E) Insufficient data

Solution: (125/10)*(75/10) = 9375/100 ~94 of original area   0.94 is a 6% decrease from 100/100 ->6% decrease
Answer: D
A certain car averages 20 miles per gallon of gasoline when driven in the city and 40 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway?  Select the correct option.
A) 28  B) 30  C) 34  D) 36  E) 38

Solution: 10*1/20 gpm+50*1/40 gpm=1.75 total gallons   60 total miles/1.75 total gallons=34.3 average mpg   C. 34
Answer: C
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?  Choose the correct choice from the following answers:
A) 45%  B) 50%  C) 57%  D) 59%  E) 62

Solution: Total number of votes polled = (1136 + 7636 + 11628)= 
(1136 + 7636 + 11628) = 20_400
20400   So, Required percentage= 11628/20400 * 100= 
11628/20400 * 100 = 57
57%   57%
Answer: C
The total number of pupils in Class A is 40 out of which 18 are girls, In Class B there are 20 are boys out of total 35 and in Class C there are 16 girls out of total 32. What is the percent of total girls in all the classes.
Choose the correct choice from the following choices.
A) 33.9%  B) 43.6%  C) 32.7%  D) 62.7%  E) 22.8%

Solution: 32.7%lass A girls = 18   32.7%lass B girls = 35-20= 
35-20 = 15
15   32.7%lass 32.7% girls= 16   Total percentage = (18+15+16)/(40+35+32) = 35/107 = 0.327   32.7%
Answer: C
A number Y is chosen at random from the numbers 1, -3, -1, 0, 1, 2, 3. What is the probability that |X|<3?	Choose the correct choice.
A) 1/5
B) 2/7
C) 2/9
D) 3/7
E) 3/11

Solution: |X||X| can take 7 values.   To get |X|<2|X|<2 ( i.e., −2<x<+2−2<x   ⇒ P(|X|<2)= Favourable CasesTotal CasesP(|X|<2)= Favourable CasesTotal Cases   = 3/7   3/7
Answer: D
Consider below info to be a table:
AMOUNT OF BACTERIA
TIME - AMOUNT
1PM - 10gms
4PM - x gms
7PM - 22.5 gms
Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same factor during each of the two 3-hour periods shown, how many grams of bacteria were present at 4PM ?	Choose the correct choice from the following answers:
A) 15.0
B) 12.1
C) 12.2
D) 12.3
E) 12.4

Solution: let say the factor is x, the at 7PM quantity = 10 (i.e. quantity @1PM)* x^2 =22.5 => x^2 =2.25 or x = 1.5 => @4PM quantity = 10x =10*1.5= 
10*1.5 = 15
15.   15.0nswer 15.0
Answer: A
A man spends 10% of his income in house rent, 20% of the rest on his children’s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is?	Choose the correct choice from the following answers
A) 3600
B) 3607
C) 3606
D) 3655
E) 3622

Solution: X * (90/100) * (80/100) * (75/100) = 1944   X * 0.9 * 0.8 * 0.75   X = 1944/0.54= 
1944/0.54 = 3_600
3600   3600nswer: 3600
Answer: A
Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 16000, then find his savings?	Choose the correct answer
A) 3600
B) 3607
C) 3200
D) 3602
E) 3603

Solution: Let the income and the expenditure of the person be Rs. 5x and Rs. 4x respectively.   Income, 5x = 16000 => x = 3200   Savings = Income - expenditure = 5x - 4x = x   So, savings = Rs. 3200.   Answer:3200
Answer: C
If p is a natural number and p! ends with g trailing zeros, then the number of zeros that (5p)! ends with will be Choose one:
A) a) (p+g) trailing zeros
B) b) (5p+y) trailing zeros
C) c) (5p+5y) trailing zeros
D) d) (p+5y) trailing zeros
E) e) none of them above

Solution: Let p = 1. p! = 1! = 1, which means g= 0   (5p)! = 5! = 120, trailing zeros = 1   1 = 1 + 0 = p + g   a) (p+g) trailing zerosnswer (a) (p+g) trailing zeros).
Answer: A
If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is:	Choose the correct answer
A) Rs. 182
B) Rs. 190
C) Rs. 196
D) Rs. 204
E) Rs. 210

Solution: Explanation:   Given ratio =1/2:2/3:3/4=6:8:9   1st part = Rs. 782*6/23=Rs. 204   Answer is Rs. 204
Answer: D
A team bought a total of 466 balls. If each player on the team bought at least 13 balls, then what is the greatest possible number of players on the team? Choices.
A) 21
B) 22
C) 23
D) 24
E) 35

Solution: 466/13=35 plus remainder.   The answer is 35.
Answer: E
A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?  Answers
A) 33  B) 66  C) 24  D) 88  E) 99

Solution: B = 1/8 – 1/2 = 1/24 => 24 days   Answer:24
Answer: C
M = {-6, -5, -4, -3, -2}
T = {-2, -1, 0, 1, 2, 3, 4}
If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?
Choose the correct choice from the following answers:
A) 0
B) 11/35
C) 4/7
D) 1/2
E) 3/5

Solution: Answer C.   Total # of outcomes: 5*7= 
5*7 = 35
35   # of outcomes where Product is -ve : (-6,1) ,(-6,2), (-6,3)... Hence, total: 20   Probability: 4/7
Answer: C
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively.
In 30 minutes, how many times do they toll together? Options:  A) 12  B) 14  C) 15  D) 16  E) 17

Solution: Explanation :   Here's the simple solution :   Take lcm of 2,4,6,8,10,12 seconds   The outcome is 120seconds.   Convert it into minutes = 120 / 60= 
120 / 60 = 2
2 minutes   In 30mins it will rings 15times together   But ,In 0th second all bells rings together   Hence Total number of bell rings is= 15 + 1= 
15 + 1 = 16
16   Hence (D) is the correct answer.   Answer : 16
Answer: D
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?  Choose the correct choice from the following answers.
A) 6  B) 4  C) 9  D) 3  E) 2

Solution: M = 45   S = 1.5   DS = 6   US = 3   AS = (2 * 6 * 3) /9= 
(2 * 6 * 3) /9 = 4
4   Answer:4
Answer: B
A random 10-letter code is to be formed using the letters A, B, C, D, E, F, G, H, I and I (only the “I” will be used twice). What is the probability that a code that has the two I’s adjacent to one another will be formed?  Choose the correct choice from the following.
A) 1/10	B) 1/8	C) 1/5	D) 1/4	E) 1/2

Solution: Total number of combinations possible = 10!/2!10!/2!   Total favorable combinations = 9!9! - We have considered the two Is as one element. Since we have two Is, they can interchange their positions, without affecting the code.   Probability = 9!/(10!/2!)=9!∗2!/10!=1/59!/(10!/2!)=9!∗2!/10!=1/5   ANS:1/5
Answer: C
Find the number of square tiles to cover the floor of a room measuring 6 m * 14 m leaving 0.50 m space around the room. A side of square tile is given to be 50 cms?  Pick one:
A) 271
B) 260
C) 277
D) 200
E) 212

Solution: 5 * 13 = 1/2 *1/2* x => x = 260   Answer: 260
Answer: B
The average age of P, Q, R, S five years ago was 45 years. By including T, the present average age of all the five is 49 years. The present age of T is?
Choose the correct choice from the following answers: A) 64 years B) 48 years C) 45 years D) 40 years E) None of these

Solution: Present age of P, Q, R, S = 45 x 4 + 20 = 200   Present age of P, Q, R, S and T = 49 x 5 = 245   Hence, the age of T = 245 - 200= 
245 - 200 = 45
45 years.   ANSWER:45 years
Answer: C
The perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle? Choose the correct choice:	A) 87 cm2	B) 28 cm2	C) 98 cm2	D) 26 cm2	E) 50 cm2

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle   = 2.5 * 40/2= 
2.5 * 40/2 = 50
50 cm2   Answer:50 cm2
Answer: E
8k8
+ k88
--------
1,6t6
If k and t represent non-zero digits within the integers above, what is t?
Choose the correct choice from the following options:
A) 6
B) 7
C) 8
D) 9
E) 17

Solution: 8k8   k88   --------   16t6   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 t=6.   6nswer: 6.
Answer: A
Sam, Suresh and Sanket run a race of 1400 meters. Sam runs twice as fast as Suresh while Suresh runs thrice as fast as Sanket. If Sanket finishes the race by clocking 15 minutes, how far was Suresh from the finish line when Sam must have finished the race? Choose the correct choice from the following options.
A) 2887  B) 278  C) 987  D) 700  E) 278

Solution: Explanation:   When Sanket finishes the race in 15 minutes, Suresh & Sam would finish the same race in 5 minutes and 2.5 minutes respectively. Thus, when Sam reaches the ”finish” mark, Suresh must be “half-way” through i.e. 700 meters behind the “finish” line when “Sam” must have finished the race.   ANSWER:700
Answer: D
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey? Choose the most appropriate option.
A) 2 kmph B) 4 kmph C) 5 kmph D) 7 kmph E) 6 kmph

Solution: M = 45   S = 1.5   DS = 6   US = 3   AS = (2 * 6 * 3) /9= 
(2 * 6 * 3) /9 = 4
4   Answer:4 kmph
Answer: B
In what time a sum of money double itself at 3% per annum simple interest? Choose the correct option:  A) 33 1/8%  B) 33 1/3%  C) 33 3/3%  D) 33 1/7%  E) 32 1/3%

Solution: P = (P*3*R)/100   R = 33 1/3%   Answer: 33 1/3%
Answer: B