MU-NLPC/Calc-aqua_rat huggingface dataset:
Three candidates contested an election and received 5000, 22000 and 34800 votes respectively. What percentage of the total votes did the winning candidate get ?	Choices:
A) 56.31
B) 45%
C) 75.20%
D) 86%
E) 95.15%

Solution: Explanation :   Total number of votes polled = (5000+ 22000 + 34800)= 
(5000+ 22000 + 34800) = 61_800
61800.   Required percentage= (34800/ 61800) X100   = 56.31%.   56.31nswer : 56.31
Answer: A
By selling an article at Rs.500, a profit of 25% is made. Find its cost price?  Pick:  A) 400  B) 267  C) 287  D) 480  E) 811

Solution: SP = 500   CP = (SP)*[100/(100+P)]   = 500 * [100/(100+25)]   = 500 * [100/125] = Rs.400   400nswer: 400
Answer: A
A group of college friends plan to rent a house together for x dollars per month, which is to be shared equally among them. If four, rather than six people rent the house together, how many more dollars, in terms of x, will each person have to pay for rent per month? Answers:  A) x/4  B) x/6  C) x/12  D) x/10  E) x/24

Solution: If 6 people share the rent, each person would pay x/6.   If 4 people share the rent, each person will pay x/4.   The extra amount each person pays is x/4 - x/6 = 3x/12 - 2x/12 = x/12   The answer is x/12.
Answer: C
For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *9 + 3 and *9 + 9, inclusive?
Answers:
A) None	B) One	C) Two	D) Three	E) Four

Solution: Generally *p or p! will be divisible by ALL numbers from 1 to p. Therefore, *9 would be divisible by all numbers from 1 to 9.   => *9+3 would give me a number which is a multiple of 3 and therefore divisible (since *9 is divisible by 3)   In fact adding anyprimenumber between 1 to 9 to *9 will definitely be divisible.   So the answer is none (A)!   Supposing if the question had asked for prime numbers between *9 + 3 and *9 + 11 then the answer would be 1. For *9 +3 and *9 + 13, it is 2 and so on...   None
Answer: A
The average monthly salary of 8 workers and one supervisor in a factory was 430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.Whenthesupervisor,whosesalarywas430. When the supervisor, whose salary was 870 per month, retired, a new person was appointed and then the average salary of 9 people was $$430 per month. The salary of the new supervisor is:	Options.
A) 870	B) 600	C) 287	D) 771	E) 191

Solution: Explanation:   Total salary of 8 workers and supervisor together = 9 Ã— 430 = 3870   Now total salary of 8 workers = 3870 âˆ’ 870 = 3000   Total salary of 9 workers including the new supervisor = 9 Ã— 430 = 3870   Salary of the new supervisor = 3870 âˆ’ 3000 = 870   870nswer: 870
Answer: A
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?  Choose the most appropriate option.
A) 2.91 m	B) 3 m	C) 5.82 m	D) 4.32 m	E) None of these

Solution: Area of the park = (60 x 40) m2 = 2400 m2.   Area of the lawn = 2109 m2.   Area of the crossroads = (2400 - 2109) m2 = 291 m2.   Let the width of the road be x metres. Then,   60x + 40x - x2 = 291   x2 - 100x + 291 = 0   (x - 97)(x - 3) = 0   x = 3.   Answer: Option 3 m
Answer: B
Lionel left his house and walked towards Walt's house, 48 miles away. Two hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 3 miles per hour and Walt's 4 miles per hour, how many miles had Lionel walked when he met Walt?  Choose the correct choice:
A) 12
B) 16
C) 20
D) 24
E) 28

Solution: In the first 2 hours Lionel at the rate of 3 miles per hour covered distance=rate*time=3*2= 
3*2 = 6
6 miles. So, the distance between him and Walt was 48-6= 
48-6 = 42
42 miles when Walt left his house. Now, their combined rate to cover this distance was 3+4= 
3+4 = 7
7 miles per hour, hence they will meet (they will cover that distance) in time=distance/rate=42/7= 
42/7 = 6
6 hours. Total time that Lionel was walking is 2+6= 
2+6 = 8
8 hours, which means that he covered in that time interval distance=rate*time=3*8= 
3*8 = 24
24 miles.   Answer: 24.
Answer: D
The average weight of 5 person's increases by 4 kg when a new person comes in place of one of them weighing 50kg. What is the weight of the new person?	Choose the correct choice from the following answers:
A) 70  B) 86.5  C) 80  D) 88.5  E) 75

Solution: Total increase in weight =5 × 4=20   If x is the weight of the new person, total increase in weight = x−50   => 20= x - 50   => x = 20+50= 
20+50 = 70
70   70NSWER:70
Answer: A
The least perfect square, which is divisible by each of 21,36 and 66 is Choose the correct option:
A) 213444
B) 214344
C) 214434
D) 213443
E) None of these

Solution: L.C.M. of 21, 36, 66 = 2772.   Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11   To make it a perfect square, it must be multiplied by 7 x 11.   So, required number = 22 x 32 x 72 x 112 = 213444   213444nswer 213444
Answer: A
X, Y and Z contract a work for Rs. 1100. X and Y together are to do 7/11 of the work. C’s share is:	Answers.
A) Rs.366.6 B) Rs.400 C) Rs.600 D) Rs.800 E) Rs.900

Solution: (A + B) : C = 7/11 : 4/11 = 7 : 4.   Therefore, C’s share = Rs. 1100 * 4/11   = Rs.400.   ANSWER:Rs.400
Answer: B
What is the present worth of Rs. 176 due in 2 years at 5% simple interest per annum?	Choose the correct option:
A) 288  B) 160  C) 120  D) 277  E) 6123

Solution: Let the present worth be Rs. x. Then,   S.I. = (176 - x)   (x * 5 * 2) / 100 = (176 - x)   10x = 17600 - 100x   110x = 17600 => x = 160.   Answer: 160
Answer: B
If log 27 = 1.431, then the value of log 9 is:0.934
B.	0.945
C.	0.954
D.	0.958 Pick one.
A) 0.934
B) 0.945
C) 0.954
D) 0.958
E) 0.964

Solution: log 27 = 1.431   log (3^3 ) = 1.431   3 log 3 = 1.431   log 3 = 0.477   log 9 = log(3^2 ) = 2 log 3 = (2 x 0.477) = 0.954.   Answer is 0.954.
Answer: C
There are 28 girls in hostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl.
Select:
A) 1 year
B) 1 year 2 months
C) 4 years 8 months
D) 3 years
E) None

Solution: Total decrease = 28 * 2= 
28 * 2 = 56
56 months= 4 years 8 months   4 years 8 months
Answer: C
A tap can fill a tank in 2 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely? Select the correct option:
A) 1 hr 40 min  B) 4 hr  C) 3 hr  D) 1 hr 20 min  E) 2 hr 50 min

Solution: Explanation:   1 tap can fill the tank in 2 hours.   Therefore   1 tap can fill half tank in 1 hours.   3 taps can fill the tank in 2/3 hour.   Therefore   3 taps can fill half tank in 2/6 hour =20 minutes.   Total time taken=1 hour 20 minutes   Answer: Option 1 hr 20 min
Answer: D
Given that E and F are events such that P(E) = 8, P(F) = 2 and P(E n F) = 8,
find P (E|F) and P(F|E)	Choose the correct choice from the following answers:
A) 5  B) 4  C) 12  D) 36  E) 98

Solution: Here, E and F are events   P(E|F) = P(EnF)/P(F) = 8/8= 
8/8 = 1
1   P(F|E)= P(EnF)/P(E) = 8/2= 
8/2 = 4
4.   4)
Answer: B
Two good train each 900 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km / hr and 30 km /hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
Choose the correct choice.
A) 12.2 sec	B) 24.9 sec	C) 86.4 sec	D) 60.2 sec	E) None

Solution: Sol.   Relative Speed = (45 + 30) km / hr   = (75 x 5 / 18) m/sec   = (125/6) m/sec.   Distance covered = (900 + 900) m = 1000 m.   Required time = (1800 x 6 / 125) sec = 86.4 sec.   Answer 86.4 sec
Answer: C
A dice has one of the first 7 prime number on each its six sides ,with no two sides having the same number .the dice is rolled 12 times and the results added.the addition is most likely to be closet to	Choose the correct choice from the following options
A) 41 B) 48 C) 60 D) 99 E) 70

Solution: if die is rolled then avg score = (2+3+5+7+11+13+17 )/7 = 58/7   so, most likely sum for 10 times = 58/7 * 12 = 99   ANSWER:99
Answer: D
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long? Select:  A) 40  B) 99  C) 88  D) 66  E) 21

Solution: Speed = 45 * 5/18 = 25/2 m/sec   Total distance covered = 360 + 140= 
360 + 140 = 500
500 m   Required time= 500 * 2/25= 
500 * 2/25 = 40
40 sec.40nswer: 40
Answer: A
A man has Rs. 416 in the denominations of one-rupee notes, five-rupee notes and ten rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has? Select: A) 45 B) 60 C) 78 D) 90 E) 95

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 416   16x = 416   x = 26.   Hence, total number of notes = 3x = 78   Answer: Option 78
Answer: C
The rupee/coin changing machine at a bank has a flaw. It gives 10 ten rupee notes if you put a 100 rupee note and 10 one rupee coins if you insert a 10 rupee note but gives 10 hundred rupee notes when you put a one rupee coin!Sivaji, after being ruined by his rivals in business is left with a one rupee coin and discovers the flaw in the machine by accident. By using the machine repeatedly, which of the following amounts is a valid amount that Sivaji can have when he gets tired and stops at some stage (assume that the machine has an infinite supply of notes and coins):	Choose the correct choice from the following:  A) 53947  B) 53949  C) 53946  D) 53945  E) 53944

Solution: Explanation:   The process works like this:   Rs.1 Coin ⇒ 10 × 100 = Rs.1000   Rs.100 ⇒ 10 × 10   Rs.10 ⇒ 1 × 10   Sivaji gets more money when he inserts a rupee coin only. For each rupee coin he gets his money increased by 1000 times. Suppose he inserted 1 rupee coin and got 1000 rupees and again converted this into coins. So he ends up with 1000 coins. Now of this, he inserts one coin, he gets 1000. So he has 1999 with him. Now if he inserts another coin, he has   1998 + 1000= 
  1998 + 1000 = 2_998
2998.   Now each of these numbers are in the form of 999n + 1. So option B can be written as 54 × 999 + 1.   Answer: 53949
Answer: B
Pipe A can fill a tank in 3 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?	Choose the correct choice from the following answers:	A) 4.5	B) 17	C) 18	D) 19	E) 12

Solution: Let the leak can empty the full tank in x hours 1/3 - 1/x = 1/9   => 1/x = 1/3 - 1/9 = (3 - 1)/9 = 2/9   => x = 9/2 = 4.5.   4.5nswer: 4.5
Answer: A
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year? Pick:
A) Rs.3630  B) Rs.2840  C) Rs.3200  D) Rs.5600  E) Rs.3000

Solution: Explanation:   6300:4200:10500   3:2:5   3/10 * 12100= 
3/10 * 12100 = 3_630
3630   Rs.3630NSWER IS Rs.3630
Answer: A
An intelligence agency decides on a code of 2 digits selected from 0, 1, 2, …, 9. But on the slip on which the code is hand written allows confusion between top and bottom, because there are indistinguishable. Thus, for example, the code 91 could be confused with 16. How many codes are there such that there is no possibility of any confusion?
Choose the correct option
A) 90  B) 80  C) 40  D) 50  E) 89

Solution: Total digits that can be formed = 10C1 * 10C1 = 100.   The digits that still remain digits when turned upside down are 0, 1, 6, 8 and 9.   So codes that can create confusion are:   01, 06, 08, 09   10, 16, 18, 19   60, 61, 66, 68 (69 would still be 69 when inverted)   80, 81, 86, 89   90, 91, 98, 99 (96 would still be 96 when inverted)   There are 20 such numbers.   Required numbers = 100 - 20= 
100 - 20 = 80
80   ANSWER:80
Answer: B
If the product 4864 x 9 P 2 is divisible by 12, then the value of P is:	Pick one
A) 1
B) 5
C) 8
D) 6
E) 4

Solution: Explanation:   Clearly, 4864 is divisible by 4.   So, 9P2 must be divisible by 3. So, (9 + P + 2) must be divisible by 3.   P = 1.   1NSWER 1
Answer: A
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be Choose the correct option
A) 26 B) 27 C) 28 D) 29 E) 30

Solution: Let number of hens = h and number of cows = c   number of heads = 48   => h + c = 48 ---(Equation 1)   number of feet = 140   => 2h + 4c = 140   => h + 2c = 70 ---(Equation 2)   (Equation 2) - (Equation 1) gives   2c - c = 70 - 48   => c = 22   Substituting the value of c in Equation 1, we get   h + 22 = 48   => h = 48 - 22= 
48 - 22 = 26
26   i.e., number of hens= 26   26nswer is 26.
Answer: A
If the true discount on s sum due 2 years hence at 14% per annum be Rs. 182, the sum due is:  Answers: A) s. 832 B) s. 968 C) s. 1960 D) s. 2400 E) s. 2800

Solution: td=pw*r*t/100 so 182=pw*14*2/100 so pw=650   sum=pw+td..   sum=650+182= 
650+182 = 832
832   s. 832NSWER:s. 832
Answer: A
Cuboid volume and Base area are 144 m^3 and 18m^3 respectively.Find the height of a cuboid? Choose the correct choice from the following answers.
A) 5m
B) 12m
C) 6m
D) 8m
E) 10m

Solution: Height of the cuboid=Volume* Base area   =144/18= 
144/18 = 8
8 metre   Answer is option 8m
Answer: D
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is? Choose one:	A) 288	B) 277	C) 120	D) 285	E) 121

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.   Length of the train = 20 * 6= 
20 * 6 = 120
120 m.   Answer: 120
Answer: C
The average mark of 20 students in a class is 70 years. The average age of 10 students is 65. What is the total mark of remaining 10 students?
Choose the correct option.
A) 850  B) 800  C) 750  D) 700  E) 680

Solution: Sum of the ages of 10 students   = (20 * 70) - (10 * 65) = 1400 - 650= 
1400 - 650 = 750
750   Required Total marks= 750   Answer: 750
Answer: C
A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 6?  Options: A) 3/8 B) 1/16 C) 1/8 D) 1/2 E) 0

Solution: One approach to solve the problem is to list the different possibilities for a toss of coin three times. Because there are two outcomes and the coin is tossed three times, the table will have 2*2*2 or 8 rows.   Next add the resulting rows together to find the sum (the fourth column in the table below).   Toss 1 | Toss 2 | Toss 3 | Sum   1 ---------- 1 -------- 1 ------ 3   1 ---------- 1 -------- 2 ------ 4   1 ---------- 2 -------- 1 ------ 4   1 ---------- 2 -------- 2 ------ 5   2 ---------- 1 -------- 1 ------ 4   2 ---------- 1 -------- 2 ------ 5   2 ---------- 2 -------- 1 ------ 5   2 ---------- 2 -------- 2 ------ 6   From the table we see that there are 0 situations where the sum of the tosses will be greater than 6. And there are 8 possible combinations resulting in a probability of   0/8 or a probability of 0.   SO the correct answer is 0.
Answer: E
Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 480. Find the ratio of the amounts lent at the lower rate and higher rate of interest?	Choose one:
A) 2:1
B) 5:6
C) 5:2
D) 5:8
E) 5:2

Solution: Let the amount lent at 7% be Rs. x   Amount lent at 10% is Rs. (6000 - x)   Total interest for one year on the two sums lent   = 7/100 x + 10/100 (6000 - x) = 600 - 3x/100   => 600 - 3/100 x = 480 => x = 5000   2:1mount lent at 10% = 2000   Required ratio = 2000 : 1000 = 2:1   2:1nswer:2:1
Answer: A
If 4 and 8 are factors of 60n, what is the minimum value of n?
Choose the correct choice.
A) 2	B) 3	C) 8	D) 14	E) 56

Solution: 60n/4*8 should be integer => 2*2*3*5*n/2*2*2*2*2 = 3*5*n/8must be an integer   for this to be true n must multiple of 8, thus min of n = 8   hence 8
Answer: C
In how many ways can be 3 boys and 3 girls sit around circular table so that no two boys sit next to each other?	Choose the most appropriate option: A) (5!)^2 B) (6!)^2 C) 3!2! D) 11! E) (5!)^2*6!

Solution: first fix one boy and place other 2 in alt seats so total ways is 3!   now place each girl between a pair of boys... total ways of seating arrangement of girls 3!   total is 2!*3!   ANS 3!2!
Answer: C
A driving school claims an average test pass rate of 76.8 percent. What is the least number of pupils required to achieve this result?
Choices
A) 125	B) 113	C) 189	D) 153	E) 142

Solution: 125   125   96 passes out of 125 give an average of 76.8% .
Answer: A
If (x + yi) / i = ( 7 + 9i ) , where x and y are real, what is the value of (x + yi)(x - yi)?	Select the correct option:
A) 120 B) 130 C) 150 D) 170 E) 200

Solution: (x + yi) / i = ( 7 + 9i )   (x + yi) = i(7 + 9i) = -9 + 7i   (x + yi)(x - yi) = (-9 + 7i)(-9 - 7i) = 81 + 49= 
81 + 49 = 130
130   CORRECT ANSWER IS 130) 130
Answer: B
A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Pick one:	A) 4 min	B) 6 min	C) 8 min	D) 2 min	E) 9 min

Solution: S = 600/40= 
600/40 = 15
15 mps   S= 3600/15= 
3600/15 = 240
240 sec= 4 min   4 minnswer: 4 min
Answer: A
The difference of the cubes of two consecutive even integers is divisible by which of the following integers?
Choose the correct choice from the following answers:
A) 3  B) 6  C) 4  D) 5  E) 2

Solution: Solution: let take 2 consecutive even numbers 2 and 4.   => (4*4*4)-(2*2*2)=64-8= 
64-8 = 56
56 which is divisible by 4.   Answer 4
Answer: C
From a total of 5 boys and 5 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?  Choices
A) 16 B) 24 C) 60 D) 100 E) 240

Solution: Answer=100=100   No of 4 person committees that can be formed=5C2*5C2=100   Answer 100
Answer: D
If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 54. By how much do the two digits differ?
Choose the correct choice from the following answers:
A) 3  B) 4  C) 5  D) 6  E) 7

Solution: Given that (10a + b) - (10b + a) = 54 --> 9a - 9b =54 --> a - b 54 --  9  - 9= 
54 --  9  - 9 = 54
54 --> a - b= 6.   Answer: 6.
Answer: D
If x+y=280, x-y=200, for integers of x and y, y=? Pick:
A) 200	B) 240	C) 50	D) 115	E) 150

Solution: x+y = 280   x-y = 200   2x = 80   x = 40   y = 240   Answer is 240
Answer: B
How many multiples of 7 are there between 14 and 343, exclusive ?  Select the correct option:	A) 48	B) 47	C) 46	D) 45	E) 44

Solution: 7 * 2= 
7 * 2 = 14
14   7 * 49= 
7 * 49 = 343
343   Total multiples= (49-2) + 1= 
(49-2) + 1 = 48
48   Exclude 7 343= 48-2= 
48-2 = 46
46   Answer is (46)
Answer: C
The probability of a team winning a match given Matt is playing the match is 0.75. The probability of the team winning a match given Matt is not playing the match is 0.7. The probability of Matt playing any match is 0.8.
If it is known that the team has won the last match, what is the probability that Matt played the match?	Options.
A) 0.8321 B) 0.7 C) 0.8108 D) 0.7531 E) 0.8213

Solution: Out of 100 matches:   Matt is plays in 80 and not plays in 20.   Out of 80 matches Matt plays in, team wins   0.75*80= 
  0.75*80 = 60
60.   Out of 20 matches Matt does not play in, team wins   0.7*20= 
  0.7*20 = 14
14.   So, out of 100 matches 60 + 14= 
60 + 14 = 74
74 are won.   It is known that the team has won the last match. Out of 74 matches won, Matt is in 60: 60/74= 0.8108...   Answer: 0.8108.
Answer: C
A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and captain) to a nearby port. Altogether, these passengers have 15 heads and 42 legs. How many cats does the ship host?
Choose the most appropriate option
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: sa's +co +ca +cats = 15. sa's + 1 +1 +cats =15 or sa's +cats =13.   sa's(2) +2 +2 +cats*4 =42 sa's*2 +cats*4 = 38 or sa's +cats*2 =19 or 13-cats +cat*2 =19   then cats =6   6
Answer: B
What will come in place of the x in the following Number series? 6, 12, 21, x , 48  Answers
A) 33	B) 35	C) 39	D) 41	E) 42

Solution: (A)   The pattern is + 6, + 9, + 12, +15 ………..   So the missing term is = 21 + 12= 
21 + 12 = 33
33
Answer: A
Sunil invested $ 1800 fir 2 years and $ 1400 for 3 years at the same rate of Simple Interest. If the total interest from these investments is $ 810, what is the rate of interest?
Choose one:
A) 12 3/4% B) 25 1/3% C) 10 1/4% D) 8% E) 13 2/4%

Solution: (1800x2xR)/100+(1400x3xR)/100=810   78R=810   R= 10 1/4%   Answer is 10 1/4%
Answer: C
A shepherd has 1million sheep at the beginning of Year 2010. The no's grow by xx during the yr. A famine hits his village in the next year & many of his sheep die. The sheep population decreases by yy during 2001 and at the beginning of 2011 the shepherd finds that he is left with 1million sheep. Which of the following is correct? Choose the correct choice from the following answers.
A) x<y
B) x>y
C) x=y
D) x<=y
E) x>=y

Solution: Let us assume the value of xx to be 10%10%.   Therefore, the number of sheep in the herd at the beginning of year 2001 (end of 2000) will be 1 million + 10%10% of 1 million = 1.1 million   In 2001, the numbers decrease by y%y% and at the end of the year the number sheep in the herd = 1 million.   i.e., 0.1 million sheep have died in 2001.   In terms of the percentage of the number of sheep alive at the beginning of 2001,   it will be (0.1/1.1)×100%=9.09%(0.1/1.1)×100%=9.09%.   From the above illustration it is clear that x>y   x>y
Answer: B
To furnish a room in a model home an interior decorator is to select 2 chairs and 2 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 150 different combinations are possible, how many tables are there in the warehouse? Choices
A) 6	B) 8	C) 10	D) 15	E) 30

Solution: Total number of ways to choose 2 chairs from 5= 5C2=10   Total number of combination=150   That means we need get 15 combinations from the selection of tables....   Screening through the answers.... 6C2=15..... 15*10=150   Answer is 6... 6
Answer: A
Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 10% and 10% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of  Choose the correct choice from the following answers.
A) 10%  B) 20%  C) 21%  D) 23%  E) Cannot be determined

Solution: 10%nswer: 10%.
Answer: A
Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $3500 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years? Choose the correct choice: A) $3,750 B) $5,600 C) $8,100 D) $15,000 E) $31,500

Solution: x=8%   112/x years=112/8= 
112/8 = 14
14 years   Now, money triples every 14 years   Therefore, in 14 yrs , if $3500 triples to $10500, in 28 years, it will again triple to $10500*3=$31,500   Answer $31,500
Answer: E
If a man lost 5% by selling apples at the rate of 15 a rupee at how many a rupee must he sell them to gain 25%?  Pick one:
A) 9.4  B) 10.4  C) 11.4  D) 12.4  E) 13.4

Solution: 95% ---- 15   125% ---- ?     95/125 * 15= 
  95/125 * 15 = 57/5 = around 11.4
11.4   Answer: 11.4
Answer: C
A cistern is two-third full of water. Pipe A can fill the remaining part in 12 minutes and pipe B in 8 minutes. Once the cistern is emptied, how much time will they take to fill it together completely?  Answers:	A) 12 minutes	B) 12.5 min	C) 14.4 min	D) 10.2 min	E) 14.66 min

Solution: As pipe A takes 12min. to fill remaining one-third it takes 36min. to fill completely. similarly pipe B takes 24min. to fill completely   so, total time taken by both together is reciprocal of:   (1/36)+(1/24)=5/72   ans:14.4 min.   ANSWER:14.4 min
Answer: C
An investment compounds annually at an interest rate of 34.1% What is the smallest investment period by which time the investment will more than triple in value?
Options:	A) 4	B) 5	C) 6	D) 7	E) 8

Solution: 1 year: 100/3 = 33.33 approx $34: Total: 134   2nd year: 134/3 = 45: Total: 134+45= 
134+45 = 179
179   3rd year: 179/3= 60: Total: 179+60= 
179+60 = 239
239   4th year: 239/3= 80: Total: 239+80= 
239+80 = 319
319 > 3(100)   ;4 years;   4NSWER:4
Answer: A