MU-NLPC/Calc-aqua_rat huggingface dataset:
The investment of A, B, and C in a business are in the ratio 3:1:4. The total investment is Rs. 60,000. Find the investment made by each.	Choose the correct choice from the following answers:	A) 22500, 7500, 30000	B) 22000, 8000, 30000	C) 23500, 7500, 29000	D) 23000, 8500, 28500	E) 23000, 8000, 29000

Solution: ratio of the investment is 3:1:4   Total investment =60000   so, 8x = 60000 ie)x =7500   so the investment of 22500, 7500, 30000, B,C are : 22500, 7500, 30000's investment 3x = 22500 B's investment x = 7500 C's investment 4x =30000   22500, 7500, 30000NSWER:22500, 7500, 30000
Answer: A
On dividing 13698 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor? Choose the correct choice from the following
A) 743
B) 154
C) 852
D) 741
E) 785

Solution: Divisor *quotient+remainder=dividend   divisor=(dividend)-(remainder)/quotient   (13698-14)/89=154   Answer(154)
Answer: B
A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?  Choose the correct choice from the following answers
A) 218 B) 150 C) 167 D) 166 E) 112

Solution: Let the length of the train be x m and its speed be y m/sec.   Then, x/y = 15 => y = x/15   (x + 100)/25 = x/15 => x = 150 m.   Answer: 150
Answer: B
In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number Q of employees who take the subway to work?	Answers:  A) 12  B) 13  C) 14  D) 15  E) 16

Solution: P/3 + F/4 = P/3 + (48-P)/4 = 12 + P/2   P/3 + F/3 = (P+F)/3 = 48/3= 
48/3 = 16
16   P/4 + F/4= 12   P/3 + F/3 > P/3 + F/4 > P/4 + F/4   --> 16> 12 + P/12 > 12   GREATEST Possible Q: 12 + p/12 = 15 --> p = 36 ( integer --> good)   15 or 15 is the answer
Answer: D
In the junior basketball league there are 15 teams, 1/3 of them are bad and ½ are rich. What can't be the number of teams that are rich and bad?
Choose the correct choice from the following:  A) 4.  B) 6.  C) 7.  D) 8.  E) 9.

Solution: total teams =15   bad teams=(1/3)*15= 
(1/3)*15 = 5
5   rich teams=8   so maximum value that the both rich and bad can take will be 8. so E= 9 can not be that value.   ans 9..
Answer: E
A man is 26 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?  Pick one:
A) 16	B) 19	C) 15	D) 24	E) 10

Solution: Let the son's present age be x years.   Then, man's present age = (x + 26) years.   (x + 26) + 2 = 2(x + 2)   x + 28 = 2x + 4   => x =24 .   Answer: 24
Answer: D
Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers? Pick one
A) 60,89  B) 60,88  C) 60,86  D) 60,84  E) 60,81

Solution: (5x-25):(7x-25) = 35:59   x = 12 => 60,84   Answer: 60,84
Answer: D
The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places)  Choose the correct option
A) 20043.94  B) 38933.3  C) 93832.39  D) 29334.93  E) 20483.33

Solution: Let the rate of interest be R% p.a.   (49500)(3)(R)/100 = 17820   495R = 5940   R = 12   CI on Rs.49500 at 12% p.a. for three years   = 49500{[1 + 12/100]3 - 1} = 69543.936 - 49500 = Rs.20043.94   when rounded off to two decimal places.   20043.94nswer: 20043.94
Answer: A
Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to fill the empty drum? Choose the most appropriate option
A) 30	B) 45	C) 60	D) 80	E) 100

Solution: Explanation:   Let capacity of Q =1 litre.   Then, capacity of P =3 litre.   Given that it takes 80 turns for bucket P to fill the empty drum.   => capacity of the drum =80×3=240 litre.   Number of turns required if both P and Q are used having each turn together   240/3+1 =60 litre.   Answer: Option 60
Answer: C
5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.90 only. Men’s wages are?
Options:
A) 6Rs
B) 8Rs
C) 9Rs
D) 1Rs
E) 2Rs

Solution: 5M = xW = 8B   5M + xW + 8B ----- 90 Rs.   5M + 5M + 5M ----- 90 Rs.   15M ------ 90 Rs. => 1M =6Rs.   6Rsnswer:6Rs
Answer: A
What is the sum of the different positive prime factors of 350?
Select.
A) 10 B) 11 C) 14 D) 16 E) 18

Solution: 350   35*10 --> 5*7*2*5 --> 5+7+2=14. Remember its asking for the DIFFERENT positive prime factors of 350.   14
Answer: C
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Pick.
A) 328	B) 279	C) 245	D) 288	E) 211

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2 ==> 2(130 + X) = 750 ==> X = 245 m.Answer: 245
Answer: C
The manufacturing cost of a shoe is Rs.190 and the transportation lost is Rs.500 for 100 shoes. What will be the selling price if it is sold at 20% gains	Choose the correct choice from the following:
A) s 234
B) s 216
C) s 220
D) s 210
E) s 217

Solution: Explanation :   Total cost of a watch = 190 + (500/100)= 
190 + (500/100) = 195
195.   Gain= 20% => SP = 1.2CP = 1.2 X 195 = 234   s 234nswer : s 234
Answer: A
One night 19 percent of the female officers on a police force were on duty. If 152 police officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Choices.
A) 300  B) 350  C) 400  D) 450  E) 500

Solution: Let x be the number of female police officers on the police force.   The number of female police officers on duty was 76.   0.19x = 76   x = 400   The answer is 400.
Answer: C
If the number is decreased by 5 and divided by 7 the result is 7. What would be the result if 14 is subtracted and divided by 10?  Select the correct option.
A) 4 B) 7 C) 8 D) 5 E) 3

Solution: Explanation:   Let the number be x. Then,   (x - 5)/7 = 7 => x - 5 = 49   x = 54   .: (x - 14)/10 = (54 - 14)/10= 
(54 - 14)/10 = 4
4   4nswer: Option 4
Answer: A
200 is what percent of 50? Choose the most appropriate option
A) 0.2%  B) 2%  C) 5%  D) 20%  E) 400%

Solution: 200= x*50/100   x = 400%   Ans; 400%
Answer: E
What is the remainder of W=3^19 when divided by 10? Select.
A) 0 B) 1 C) 5 D) 7 E) 9

Solution: I looked for patterns:   ^2 - units digit 9   ^3 - units digit 7   ^4 - units digit 1   ^5 - units digit 3   hence, we can see that when raised to a power which is multiple of 4, the units digit is 1, and when to an even power not multiple of 4, the units digit is 9   and we can then see:   ^16 - units digit 1, or   ^18 - units digit 9   and ^19 - units digit 7   therefore, W=when divided by 10, the remainder must be 7.7
Answer: D
A, B and C enter into a partnership. A invests 3 times as much as B invests and 2/3 of what C invests. At the end of the year, the profit earned is Rs. 11000. What is the share of C?  Choose the correct choice:
A) Rs. 2250	B) Rs. 3000	C) Rs. 6750	D) Rs. 5625	E) None of these

Solution: Explanation:   Let the investment of C be Rs. x.   The inverstment of B = Rs.(2x/3)   The inverstment of A = Rs. (3 × (2/3)x) = Rs. (2x)   Ratio of capitals of A, B and C = 2x : 2x/3 : x = 6 : 2 : 3   C's share = Rs. [(3/11) × 11000] = Rs. 3000   Answer: Option Rs. 3000
Answer: B
If a car had traveled 40 kmh faster than it actually did, the trip would have lasted 30 minutes less. If the car went exactly 120 km, at what speed did it travel? Choose the correct choice from the following choices.
A) 50 kmh
B) 60 kmh
C) 70 kmh
D) 80 kmh
E) 90 kmh

Solution: Time = Distance/Speed   Difference in time = 1/2 hrs   120/x - 120/(x + 40) = 1/2   Substitute the value of x from the options. --> x = 80 --> 120/80 - 120/120 = 3/2 - 1 = 1/2   Answer: 80 kmh
Answer: D
There are 8 men and 4 chairs. In how many ways men can occupy the chairs? Choose the correct choice from the following.
A) 1760  B) 8400  C) 1680  D) 1740  E) 1800

Solution: total men = 8   total chairs = 4   1st chair can be occupy in 8ways   2nd chair can be occupy in 7ways   3rd chair can be occupy in 6ways   4th chair can be occupy in 5ways   total number of ways = 8*7*6*5= 
8*7*6*5 = 1_680
1680 ways   correct option is 1680
Answer: C
A new beverage, which is a mixture of grape juice and apple juice, is being tested. The test container of 800 milliliters is 15% grape juice. If the response to the beverage causes the maker to increase the percentage of grape juice in the container to 20%, how much grape juice will be added?
Pick one
A) 30
B) 40
C) 50
D) 120
E) 160

Solution: So, (120+k)/(800+k)=20/100   Or, (120+k)/(800+k)=15   Or, 600+5k=800+k   Or, 4k=200   Or, k=50   Or, k=50k=50   So, 50 ml of Grape juice , must be added , answer must be (50)
Answer: C
Of the 400 members at a health club, 260 use the weight room and 310 use the pool. If at least 60 of the members do not use either, then the number of members using both the weight room and the pool must be between: Choose the correct choice from the following answers:	A) 40 to 100	B) 240 to 280	C) 230 to 260	D) 220 to 300	E) 200 to 260

Solution: W=260   P=310   ALL=400   N(NEITHER)=AT LEAST 60   BOTH=?   W+P-BOTH+N=ALL   260+310-BOTH+60=400   BOTH=230   now pay attention to the fact, that both at most can be 260, since W=260   230 to 260
Answer: C
If each digit in the set A = {1, 2, 3, 4, 5} is used exactly once, in how many ways can the 5 digits be arranged? Choose the correct choice from the following options:
A) 6  B) 24  C) 72  D) 96  E) 120

Solution: Use the slot method for all the possible arrangements:   we have 5 options for the 1st slot, 4 for the 2nd, 3 for 3rd , 2 for 4th and 1 for the 5th, giving the total number of   arrangements = 5*4*3*2*1= 
5*4*3*2*1 = 120
120,   120 is the correct answer.
Answer: E
A sum was put at simple interest at certain rate for 3 years. Had it been put at 1% higher rate it would have fetched Rs. 72 more. The sum is: A. Rs. 2,400 B. Rs. 2,100 C. Rs. 2,200 D.Rs. 2,480
Choose the correct option
A) 2000	B) 2100	C) 2200	D) 2300	E) 2400

Solution: 1 percent for 3 years= 72   1 percent for 1 year = 24   => 100 percent = 2400   ANSW2400R:2400
Answer: E
The average age of 4 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is  Pick one: A) 22 B) 30 C) 99 D) 26 E) 27

Solution: total age increased = (8 * 2) years = 8 years.   Sum of ages of two new men = (21 + 23 + 8)= 
(21 + 23 + 8) = 52
52 years   Average age of two new men= (52/2)= 
(52/2) = 26
26 years.   Answer: 26
Answer: D
A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 12%. What was its profit on the items sold in February?	Choose the correct option
A) 27.5%	B) 32%	C) 35%	D) 37.5%	E) 40%

Solution: Assume the total price = 100x   Price after 20% markup = 120x   Price after 25%further markup = 1.25*120= 
1.25*120 = 150
150x   Price after the discount= 0.88*150= 
0.88*150 = 132
132x   Hence total profit= 32%   Option 32%
Answer: B
If the speed of Y meters per second is equivalent to the speed of X kilometers per hour, what is X in terms of Y? (1 kilometer=1000 meters)  Select the correct option:
A) 15y/18  B) 6y/5  C) 18y/5  D) 60y  E) 3600000y

Solution: If the speed of Y meters per second is equivalent to the speed of X kilometers per hour, what is X in terms of Y? (1 kilometer=1000 meters)   We need to find an equation with y in the answer...   convert all measurements so they are alike (i.e. convert km to m, seconds to hours, etc)   Speed = y/t   y meters/second   (3600) x meters/hour   Speed = x/t   x KM/hour   Speed = x(1000m)/hour   x(1000meters)/hour = (3600) x meters/hour   x(1000)/1hour = y(3600) / 1 hour   x(1000) = y(3600)   x = 3.6y   Answer: C. 18y/5
Answer: C
On average, the bottle-nosed dolphin comes up for air once every three minutes; the beluga whale, a close relative, comes up for air on average once every nine minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period? Choose the correct choice from the following answers: A) 150% B) 200% C) 250% D) 300% E) 350%

Solution: Dolphin once in 3 min;   Beluga once in 9 min;   So, dolphin comes up 3 times frequently than beluga, which is 300% (9-3)/2*100.   Answer: 300%.
Answer: D
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?  Choose the correct choice from the following choices:  A) 16 kmph  B) 19 kmph  C) 14 kmph  D) 11 kmph  E) 13 kmph

Solution: The ratio of the times taken is 2:1.   The ratio of the speed of the boat in still water to the speed of the stream   = (2+1)/(2-1)= 
(2+1)/(2-1) = 3
3/1= 
3/1 = 3
3:1   Speed of the stream= 42/3= 
42/3 = 14
14 kmph.   Answer: 14 kmph
Answer: C
Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 5^a and y = 4^b, which of the following is a possible units digit of xy?	Choose one:
A) 1
B) 4
C) 5
D) 7
E) 0

Solution: Only Units digit of X and Y contribute to the Units digit of XY.   Finding all values ofXfor positive values ofa   When,   a=1; X=5   a=2; X=25   a=3; X=125........ Units digit repeat in a cycle of 5......   Similarly, Finding all values ofYfor positive values ofb   When,   b=1; Y=4   b=2; Y= 16   b=3; Y= 64....... Units digit repeat in cycle of 4,6,4....   So, possible value of Units digit of XY can be found by considering all possibilities of Units digit of X and Y   When X=5 and Y=4: Units digit of XY = 20   When X=5 and Y=6: Units digit of XY = 30   Only one possibility for Units digit of XY i.e. 0.   therefore answer is 0
Answer: E
Two dice are rolled. What is the probability the sum will be greater than 11? Choose the correct choice from the following answers
A) 1/9.
B) 1/12.
C) 1/36.
D) 1/6.
E) 1/5.

Solution: 1/36.ombinations possible: (6,6) = 1   Total combinations possible:   6*6= 
  6*6 = 36
36   Answer= 1/36 Option 1/36..
Answer: C
A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3500, A will get:  Pick one:  A) Rs.1200  B) Rs.1500  C) Rs. 2100  D) Rs.2000  E) None of these

Solution: Explanation:   Ratio of working days of A : B = 10 : 15   Therefore, their wages ratio = reverse ratio = 15 : 10   Therefore, A will get 15 units of ratio   Total ratio = 25   1 unit of ratio =3500/25= 
3500/25 = 140
140   So, A’s amount= 120 × 15 = Rs.2100.   Answer: Option Rs. 2100
Answer: C
A train 220 m long is running with a speed of 59 kmph. In what time will it pass a man who is running at 7 kmph in the direction opposite to that in which the train is going?	Choose the correct answer:  A) 7 sec  B) 8 sec  C) 10 sec  D) 12 sec  E) 14 sec

Solution: Speed of the train relative to man = (59 + 7)= 
(59 + 7) = 66
66 *5/18 m/sec= 55/3 m/sec.   Time taken by the train to cross the man = Time taken by it to cover 220 m at (55/3) m / sec   = (220 *3/55)= 
(220 *3/55) = 12
12 sec   Answer : 12 sec.
Answer: D
An investment of $5000 was made in a certain account and earned interest that was compounded annually. The annual interest rate was fixed for the duration of the investment, and after 12 years the $5000 increased to $20000 by earning interest. In how many years after the initial investment was made the $5000 have increased to $40000 by earning interest at that rate?	Choose the correct choice from the following answers
A) 16
B) 12
C) 20
D) 24
E) 18

Solution: In 12 years the investment quadrupled (from $5,000 to $40,000).   Thus, at the same rate compounded annually, it would need additional   12/2= 
  12/2 = 6
6 years to double (from $20,000 to $40,000).   Therefore, 12+6=18 years are needed $5,000 to increase to $40,000.   Answer: 18.
Answer: E
All factors of a positive integer B are multiplied and the product obtained is B^3. If B is greater than 1, how many factors does B have? Select.
A) 2  B) 3  C) 6  D) 7  E) 8

Solution: The question can be done in seconds if you understand the properties of factors of a number. Note that every distinct factor of a number which is not a perfect square has a complementary factor.   For example,   Factors of 6: 1, 2, 3, 6   1 has a complementary factor 6 such that   1*6= 
  1*6 = 6
6 (the original number)   2 has a complementary factor 3 such that   2*3= 
  2*3 = 6
6 (the original number)   So if you have a number, n, which is not a perfect square, and start multiplying its factors, you will get n to a certain power. the power will half of the number of factors. For example, 6 has 4 factors and when you multiply all 4 factors, you get 6^2 (2 is half of 4).   So if you know that the product of all factors is B^3, it means there must have been twice the number of factors i.e. 3*2= 6 factors.   6)
Answer: C
he average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?  Choose the correct choice from the following answers:
A) 37  B) 74  C) 30  D) 34  E) 35

Solution: 20 + 24 + 8 * 2= 
20 + 24 + 8 * 2 = 60
60/2= 
60/2 = 30
30   Answer:30
Answer: C
How many positive integers less than 30 are either a multiple of 2, an odd prime number, of the sum of a positive multiple of 2 and an odd prime? Choose the correct choice from the following:
A) 29
B) 28
C) 27
D) 25
E) 23

Solution: Any odd number can be expressed as 2k+1 or 2k+(3-2) or 2(K-1)+3.   Thus, with the prime number 3,   we can express all the odd numbers.   Since, 1 i is the only number that cannot be expressed,   answer is numbers <30 =29-1.   ANSWER:28
Answer: B
How many six-digit numbers that do not contain the digits 5 or 8 are there?	Choose the correct choice from the following choices:
A) 483224  B) 156444  C) 229376  D) 816416  E) 316544

Solution: We can have 7 digits ( 1,2,3,4,6,7,9) for the first place ( hundred thousand's place).   and similarly 8 digits for ten thousands, thousands, hundred's, tenth's and unit digit. ( 0,1,2,3,4,6,7,9)   So in total 7*8*8*8*8*8= 
7*8*8*8*8*8 = 229_376
229376   Hence 229376
Answer: C
A train covers a distance of 12 km in 10 min. If it takes 10 sec to pass a telegraph post, then the length of the train is? Choose the correct choice
A) 200 B) 288 C) 120 D) 776 E) 991

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.   Length of the train = 20 * 10= 
20 * 10 = 200
200 m.   200nswer:200
Answer: A
he number of sequences in which 9 players can throw a ball, so that the youngest player may not be the last is?
Select the correct option:
A) 432881	B) 322560	C) 432020	D) 288212	E) 278212

Solution: x Not younger_______ ↑   The last ball can be thrown by any of the remaining 8 players. The first 8 players can throw the ball in 8p8 ways.   The required number of ways = 8(8!) = 322560   Answer:322560
Answer: B
In a sports club with 55 members, 23 play badminton and 29 play tennis and 7 do not play either. How many members play both badminton and tennis? Choose the correct option: A) 3 B) 5 C) 4 D) 7 E) 8

Solution: 23+29= 
23+29 = 52
52   but where as total number is   55-7= 
  55-7 = 48
48   therefore answer is   52-48= 
  52-48 = 4
4   Hence Answer is 4
Answer: C
A certain basketball team that has played 2/3 of its games has a record of 15 wins and 5 losses. What is the greatest number of the remaining games that the team can lose and still win at least 3/4 of all of its games? Choose the correct choice from the following choices
A) 7  B) 6  C) 5  D) 4  E) 2

Solution: 15 wins, 3 losses - total 20 games played.   The team has played 2/3rd of all games so total number of games = 30   3/4th of 30 is 22.5 so the team must win 23 games and can afford to lose at most 7 total games. It has already lost 5 games so it can lose another 2 at most.   Answer (2)
Answer: E
A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choose the correct option.
A) Rs.3178 B) Rs.3120 C) Rs.3127 D) Rs.3121 E) Rs.3122

Solution: Explanation:   Let A be the amount received at the end of the three years.   A = 4800[1 + 10/100][1 + 20/100][1 + 25/100]   A = (4800 * 11 * 6 * 5)/(10 * 5 * 4)   A = Rs.7920   So the interest = 7920 - 4800 = Rs.3120   Answer: Rs.3120
Answer: B
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choose the correct choice from the following choices:  A) 33 1/9%  B) 33 8/3%  C) 33 1/3%  D) 33 2/3%  E) 33 1/2%

Solution: 675 ---- 225   100 ---- ? => 33 1/3%   Answer: 33 1/3%
Answer: C
A = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability M that the sum of the two integers will equal 9 ?	Choose one.
A) 0.15
B) 0.20
C) 0.25
D) 0.30
E) 0.33

Solution: Rearrange the first set:   A = {5,4,3,2}   B = {4,5,6,7, 8}   As you can see numbers in each column (the numbers of the same color) give the sum of 9. So there are 4 such pares possible, total # of pairs is 4*5= 
4*5 = 20
20.M=favorable/total=4/20=0.2.   Answer: B.   Or: we can select ANY number from set A (4/4=1) but in this case we must select its matching pair from set B (the number of the same color) and since there are only one matching pair of this particular number in B then the probability of this is 1/5. So, overall: M=1*1/5.   Answer: 0.20.
Answer: B
A number when divided by 342 gives a remainder 47. When the same number ift divided by 19, what would be the remainder ?	Choose one
A) 7
B) 8
C) 9
D) 21
E) 14

Solution: Sol. On dividing the given number by 342, let k be the quotient and 47 as remainder.   Then, number – 342k + 47 = (19 x 18k + 19 x 2 + 9) = 19 (18k + 2) + 9.   The given number when divided by 19, gives (18k + 2) as quotient and 9 as remainder.   Option 9
Answer: C
All of the citizens of a country have a six-character or seven-character national identification code that is created using the 26 letters of the alphabet and the 10 digits from 0 to 9. What is the maximum number of citizens who can be designated with these codes?  Choose the most appropriate option
A) 36^13
B) 35(36^7)
C) 37(36^6)
D) 35(36^6)
E) 37(36^7)

Solution: The number of possible 6-digit codes is 36^6.   The number of possible 7-digit codes is 36^7.   The total sum is 36^6 + 36^7 = 36^6(1+36) = 37(36^6)   The answer is 37(36^6).
Answer: C
A man can row a boat at 10 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream? Choose one:
A) 30/18
B) 30/21
C) 30/11
D) 30/7
E) 30/8

Solution: Speed downstream = 10 + 6 = 26 kmph.   Time required to cover 60 km downstream = d/s = 60/16   = 30/8 hours.   Answer:30/8
Answer: E
If 2x +3y = 30 and (x+y)/y = 11/8, then find the value of 5y + 6x
Answers:
A) 76  B) 58  C) 99  D) 26  E) 17

Solution: Explanation:   The given equations are :   2x + 3y = 30 --------- (i)   and, (x+y)/y = 11/8   8x + 8y = 11y   8x – 3y =0 ----(ii)   Adding (i) & (ii), we get : 10 x = 30 or x = 3.   Put x = 3 in (i), we get : y = 8   Therefore, 5y + 6x = (5 * 8 + 6 * 3) = 40 + 18= 
40 + 18 = 58
58.   ANSWER: 58
Answer: B
30 men can do a work in 40 days. When should 15 men leave the work so that the entire work is completed in 40 days after they leave the work?  Choose the correct choice from the following options
A) 87 days
B) 10 days
C) 15 days
D) 44 days
E) 22 days

Solution: Total work to be done = 30 * 40= 
30 * 40 = 1_200
1200   Let 15 men leave the work after 'P' days, so that the remaining work is completed in 40 days after they leave the work.   40P + (15 * 40)= 1200   40P = 600 => P = 15 days   Answer:15 days
Answer: C