MU-NLPC/Calc-aqua_rat huggingface dataset:
When Rahul was born, his father was 32 years older than his brother and his mother was 27 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ?	Choose the correct choice from the following options.
A) 10 years  B) 9 years  C) 8 years  D) 7 years  E) 11 years

Solution: When Rahul was born, his brother's age = 6 years; his father's age = (6 + 32)= 
(6 + 32) = 38
38 years,   his mother's age= (38 - 3)= 
(38 - 3) = 35
35 years;   his sister's age= (35 - 27)= 
(35 - 27) = 8
8 years.   Answer: Option 8 years
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? Choose the correct choice from the following options
A) 176 m B) 187 m C) 175 m D) 150 m E) 167 m

Solution: Speed=(60 * 5/18) m/sec   = (50/3) m/sec Length of the train   = (Speed x Time)   = (50/3 * 9)= 
(50/3 * 9) = 150
150 m.   Answer: 150 m
Answer: D
A man covers a distance of 180 Km at 72 Kmph and next 190km at 88 Kmph. what is his average speed For his whole journey of 370 Km?  Choose the correct choice from the following choices:	A) 77 Kmph	B) 77.15 Kmph	C) 77.25 Kmph	D) 79 Kmph	E) 80 Kmph

Solution: Formula = 2*F.S*S.P/F.S+S.P   = 2*72*88/88+72   =79.2 Kmph   Option '77.25 Kmph'
Answer: C
In a college the ratio of the numbers of boys to the girls is 8:5. If there are 160 girls, the total number of students in the college is?  Choose one:
A) 562
B) 356
C) 452
D) 416
E) 512

Solution: Let the number of boys and girls be 8x and 5x   Then , 5x = 160   x= 32   Total number of students = 13x = 13*32= 
13*32 = 416
416   Answer is 416
Answer: D
Two dice are tossed once. What is the probability of getting an even number on the first die or a total sum of 10 on the two dice? Options:  A) 5/9  B) 11/18  C) 19/36  D) 23/36  E) 25/36

Solution: There are 36 possible outcomes for two dice.   The number of outcomes with an even number on the first die is 3*6= 
3*6 = 18
18.   The number of outcomes with a sum of 10 is 3.   We need to subtract the outcomes that have both an even number on the first die and a sum of 10 because we have counted those outcomes twice. This number of outcomes is 2.   The number of outcomes with either an even number on the first die or a sum of 10 is  18+3-2= 
 18+3-2 = 19
19.   The probability is 19/36.   The answer is 19/36.
Answer: C
Three friends A, B and C run around a circular track of length 120 metres at speeds of 5 m/s, 7 m/sec and 15 m/sec, starting simultaneously from the same point and in the same direction. How often will the three of them meet ?  Choose the correct option.
A) Every 60 seconds
B) Every 120 seconds
C) Every 30 seconds
D) None of these
E) Cannot be determined

Solution: Explanation :   A and B will meet for the first time in:   =>(Circumference of track/relative speed) seconds   =>120/2= 
120/2 = 60
60 seconds.   This also means that A and B will continue meeting each other every 60 seconds.   When B and C will meet for the first time.   B and C will meet for the first time in  120/8= 
 120/8 = 15
15 seconds.   This also means that they will meet every 15 seconds after they meet for the first time i.e. A and B meet every 60 seconds and multiples of 60 seconds and B and C meet every 15 seconds and multiples of 15 seconds.   The common multiples to both these time, will be when A and B and B and C will meet i.e. when A, B and C will meet.   The common multiple of 60 and 15 will be 60,120,180 etc. i.e. they will meet every 60 seconds.   Every 60 secondsnswer : Every 60 seconds
Answer: A
The speed of a car is 100 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Select the correct option.
A) 12
B) 75
C) 80
D) 54
E) 15

Solution: S = (100 + 60)/2= 
(100 + 60)/2 = 80
80 kmph   Answer: 80
Answer: C
If the sum of two numbers is 24 and the sum of their squares is 400, then the product of the numbers is
Choose the correct choice from the following choices.
A) 40  B) 44  C) 80  D) 88  E) 48

Solution: according to the given conditions x+y = 24   and x^2+y^2 = 400   now (x+y)^2 = x^2+y^2+2xy   so 24^2 = 400 + 2xy   so xy = 176/2= 
176/2 = 88
88   ANSWER:88
Answer: D
If Rosé reads at a constant rate of 3 pages every 5 minutes, how many seconds will it take her to read N pages? Choices:
A) 100  B) 2N  C) 5/2*N  D) 24N  E) 150

Solution: Rose would read 1 page in 5/3 min   Rose would read N page in (5/3)*N min i.e. (5/3)*N*60 Seconds = 100N Seconds.   Option 100 is the correct 100nswer.
Answer: A
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 70 kg. What is the weight of the new person?  Pick one:
A) 90	B) 65	C) 85	D) 95	E) 80

Solution: Total increase in weight = 8 × 2.5 = 20   If x is the weight of the new person, total increase in weight = x−70   => 20 = x - 70   => x = 20 + 70= 
20 + 70 = 90
90   90nswer is 90.
Answer: A
When Rahul was born, his father was 30 years older than his brother and his mother was 24 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ?  Choose the correct choice from the following answers.
A) 10 years
B) 7 years
C) 8 years
D) 9 years
E) 12 years

Solution: When Rahul was born, his brother's age = 6 years; his father's age = (6 + 30)= 
(6 + 30) = 36
36 years,   his mother's age= (36 - 3)= 
(36 - 3) = 33
33 years;   his sister's age= (33 - 24)= 
(33 - 24) = 9
9 years.   Answer: Option 9 years
Answer: D
Arun and Tarun can do a work in 10 days.After 4 days tarun went to his village.How many days are required to complete the remaining work by Arun alone.Arun can do the work alone in 50 days.	Choose the correct option:
A) 16 days.
B) 17 days.
C) 18 days.
D) 30 days.
E) 20 days.

Solution: They together completed 4/10 work in 4 days.   balance 6/10 work will be completed by Arun alone in   50*6/10= 
  50*6/10 = 30
30 days.   ANSWER:30 days.
Answer: D
Excluding stoppages, the average speed of a bus is 100 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?  Choose the correct choice from the following choices
A) 15 min
B) 18 min
C) 16 min
D) 20 min
E) 36 min

Solution: In 1hr, the bus covers 100 km without stoppages and 40 km with stoppages.   Stoppage time = time take to travel (100 - 40) km i.e 60 km at 100 km/hr.   stoppage time = 60/100 hrs   = 36 min   Answer: 36 min
Answer: E
Which of the following is a prime number ?  Choose the correct choice from the following choices:
A) 33
B) 81
C) 97
D) 93
E) 10

Solution: 97   97   97learly, 97 is a prime number.
Answer: C
If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 40, what is the compound interest on the same sum at the rate and for the same time?	Choose the correct choice:  A) s. 41.00  B) s. 51.22  C) s. 51.219  D) s. 41.18  E) s. 51.11

Solution: Explanation:   Sum = (40 * 100) / (2 * 5) = Rs. 400   Amount = [400 * (1 + 5/100)2] = Rs. 441   C.I. = (441 - 400) = Rs. 41   s. 41.00nswer:s. 41.00
Answer: A
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?	Choices:
A) 6620
B) 3378
C) 2768
D) 2999
E) 2771

Solution: 6620 = 20000(11/10)3   = 26620   = 20000   ----------   6620   6620nswer: 6620
Answer: A
(1/5)^e * (1/4)^18 = 1/(2(10)^35). What is e?	Pick one.
A) 17  B) 18  C) 34  D) 35  E) 36

Solution: We need to arrive at a common base. -->   (5)^(-e) * 2^(-36) = 2^(-36)*5^(-35)   5^(-e)=5^(-35)   -e=-35   e=35=35
Answer: D
An integer is said to be “diverse” if no two of its digits are the same. For example, 327 is “diverse” but 404 is not. How many “diverse” two digit numbers are there ?
Choose the correct choice from the following choices:
A) 70	B) 72	C) 81	D) 90	E) 91

Solution: A two digit number has to be formed from digits 0 to 9 such that unit's digit and ten's digit are not same.   The unit's digit can have 10 values from 0 to 9.   Ten's digit can have 9 values from 1 to 9   So total number of two digit numbers will be 9 x 10 = 90   But there are 9 numbers which are not diverse.   11,22,33,44,55,66,77,88,99   so, the number of diverse two digit numbers will be  90-9= 
 90-9 = 81
81   Answer:- 81
Answer: C
A boy wants to go abroad by boat and return by flight. He has a choice of 3 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey? Choose the correct choice from the following answers.
A) 15	B) 30	C) 43	D) 45	E) 80

Solution: Ans.(A)   Sol. Number of choices to go by ship = 3 Number of choices to return by airline = 5 From, fundamental principle, total number of ways of performing the journey = 3 x 5 = 15 ways
Answer: A
If m is 3 more than a multiple of 5 and 2 more than a multiple of 6, which of the following could be m?  Choose the correct choice from the following options:
A) 14
B) 28
C) 58
D) 68
E) 74

Solution: m is 3 more than a multiple of 5 i.e. m = 5a+3   m is 2 more than a multiple of 6 i.e. m = 6b+2   Just check option   A. 14 when divided by 5 leaves remainder 4 instead of 3 hence incorrect option   B. 28 when divided by 5 leaves remainder 3 and when divided by 6 leaves remainder 4 instead of 2 hence Incorrect option   C. 58 when divided by 5 leaves remainder 3 and when divided by 6 leaves remainder 4 instead of 2 hence Incorrect option   D. 68 when divided by 5 leaves remainder 3 and when divided by 6 leaves remainder 2 hence Correct option   E. 74   Answer: Option 68
Answer: D
Sakshi can do a piece of work in 25 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work :	Answers:
A) 15	B) 20	C) 18	D) 25	E) 10

Solution: Solution   Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4 .   Suppose Tanya taken x days to do the work.   5 : 4 : : 25 : x ⇒ x = (25x4/5) ⇒ x = 20 days.   Hence,Tanya takes 16 days is complete the work.   Answer 20
Answer: B
In a college, 71 percent of students Play Football, 76 percent of students Play Hockey, 86 percent Play Basket Ball and 81 percent Play Volleyball.
Can you find out the percentage of students who study all 4 Games? Pick: A) 14% B) 10% C) 16% D) 18% E) 19%

Solution: 14%   14% of student Play all four Games.
Answer: A
Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?  Choose one: A) 16 seconds B) 18 seconds C) 19 seconds D) 27 seconds E) 36 seconds

Solution: Time taken to meet for the first time anywhere on the track   = length of the track / relative speed   = 400 / (15 + 25)5/18 = 400* 18 / 40 * 5   = 36 seconds.   Answer:36 seconds
Answer: E
At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?  Choose the correct option
A) 30 points  B) 20 points  C) 10 points  D) 12 points  E) 22 points

Solution: a:b=60:45   a:c=60:40   b/a *a/c=45/60 *60/45=45/40=90/80 so 10 points   ANSWER:10 points
Answer: C
How many different positive integers exist between 10^7 and 10^8, the sum of whose digits is equal to 2?  Choose the correct choice from the following choices:	A) 4	B) 5	C) 6	D) 7	E) 8

Solution: 10000001   10000010   10000100   10001000   10010000   10100000   11000000   20000000   8
Answer: E
A invested $50 in a business and B invested $100 in a business. At the end of the year they got $150 as the profit. Find their share?  Select the correct option:
A) $50,$100	B) $150,$250	C) $210,$130	D) $120,$150	E) $50,$200

Solution: $50,$100:B = 50:100   $50,$100:B = 1:2   $50,$100's share = 150*1/3= 
150*1/3 = 50
$50   B's share= 150*2/3= 
150*2/3 = 100
$100   $50,$100nswer is $50,$100
Answer: A
The sum of two consecutive number is 115. Which is the larger number? Options:	A) 42	B) 58	C) 44	D) 45	E) 46

Solution: Let consecutive number be x, x+1   Therefore sum of the consecutive number is x + x+1=115   2x+1=115   2x=114   x=57   Therefore larger number is x+1=58   ANSWER:58
Answer: B
Of the three numbers, the first is twice as second and three times the third. The average of the three numbers is 77, and the three numbers in order are?  Choose one:
A) 116,58,36  B) 98,49,33  C) 126,63,42  D) 108,54,36  E) None of these

Solution: Explanation :   Solution: Let A =x,   B =x/2, C = x/3.   =x + x/2 + x/3 / 3 = 77   By solving we will get x = 126.   Hence A= 126   B= 126/2= 
126/2 = 63
63   126,63,42= 126/3= 
126/3 = 42
42   Answer : 126,63,42
Answer: C
An amount at compound interest sums to Rs.17640/- in 2 years and to Rs.22050/- in 3 years at the same rate of interest. Find the rate percentage?
Choose the correct choice: A) 5% B) 7% C) 9% D) 11% E) 25%

Solution: Explanation:   The difference of two successive amounts must be the simple interest in 1 year on the lower amount of money.   S.I = 22050/- - 17640/- = Rs. 4410/-   Rate of interest = (4410/17640) × (100/1) => 25%   Answer: Option 25%
Answer: E
The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube? Choose the correct choice from the following options: A) 3 dm B) 4 dm C) 5 dm D) 6 dm E) 7 dm

Solution: 33 + 43 + 53 = a3 => a = 6   ANSWER:6 dm
Answer: D
IF
1= N
2= W
3= H
4= O
5= I
THEN 6=?  Choose the most appropriate option:  A) I  B) J  C) K  D) L  E) M

Solution: IF   1= N... Second letter of ONE.   2= W.... Second letter of TWO.   3= H   4= O   5= I   THEN 6=I ... Second letter of SIX.   INSWER:I
Answer: A
The average of first 10 even numbers is?	Choose the correct option.
A) 8
B) 92
C) 83
D) 11
E) 12

Solution: Explanation:   Sum of 10 even numbers = 10 * 11= 
10 * 11 = 110
110   Average= 110/10= 
110/10 = 11
11   Answer: Option 11
Answer: D
I chose a number and divide it by 5. Then I subtracted 154 from the result and got 6. What was the number I chose? Choices:	A) 800	B) 237	C) 2765	D) 288	E) 161

Solution: Let xx be the number I chose, then   x5−154=6x5−154=6   x5=160x5=160   x=800   800nswer:800
Answer: A
A train passes a man standing on a platform in 8 seconds and also crosses the platform which is 273 metres long in 20 seconds. The length of the train (in metres) is:
Choose the correct answer.
A) 182	B) 176	C) 175	D) 96	E) None of these

Solution: Explanation:   Let the length of train be L m.   Acc. to question   (273+L)/20 = L/8   2184+8L=20L   L= 2184/12= 
2184/12 = 182
182 m   182nswer 182
Answer: A
Two trains of length 120 m and 300 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) 21 sec
B) 32 sec
C) 82 sec
D) 20 sec
E) 89 sec

Solution: Relative speed = (42 + 30) * 5/18 = 4 * 5= 
4 * 5 = 20
20 mps.   Distance covered in passing each other= 120 + 300= 
120 + 300 = 420
420m.   The time required= d/s = 420/20= 
420/20 = 21
21 sec.   21 secnswer:21 sec
Answer: A
At a certain health club, 30 percent of the members use both the pool and sauna, but 30 percent of the members who use the pool do not use the sauna. What percent of the members of the health club use the pool?  Choose the correct option:
A) 33 1/3%  B) 40%  C) 53 11/13%  D) 62 1/2%  E) 75%

Solution: P = pool S = sauna   given P+S = 30 then let only S be x and only P will be 100 - (30+x) = 70 -x   30% of (70-x) = x => 21 - 0.3x = x => x = 16 2/13% so only P = 70 -x = 53 11/13%   Answer 53 11/13%
Answer: C
An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 15%. How much will an air-conditioning unit cost in November?  Choose the correct choice from the following
A) $454	B) $470	C) $472	D) $484	E) $491

Solution: if its previous November (before discount) then price is $470.   but if its November of next year then   16% discount on $470=470(1-16/100)=$394.8   again a corrected raised price of 15% over $394.8=394.8(1+15/100)=454.02~$454   $454ns $454
Answer: A
The salaries of A and B together is Rs. 14,000. A spend 80% of his salary and B spends 85% of his salary. What is the salary of B if their savings are equal? Choose one.
A) Rs. 6,000
B) Rs. 8,000
C) Rs. 7,500
D) Rs. 6,500
E) Rs. 8,500

Solution: Let the salaries of A and Rs. 8,000 are X and Y respectively   X + Y = 14,000   Savings of A = 20X/100 = Savings of Rs. 8,000 = 15Y/100   X = ¾ Y   3/4Y + Y = 14,000, 7Y/4 =14,000, Y =8,000   ANSWER:Rs. 8,000
Answer: B
A sum of Rs. 2040 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B’s share is:	Pick:	A) Rs. 120	B) Rs. 160	C) Rs. 240	D) Rs. 360	E) None

Solution: EXPLANATION   Let C’s share = Rs. x   Then, B’s share = Rs. x/4 , A’s share = Rs. (2/3 x x/4 ) = Rs. x/6   =x/6 + x/4 + x = 2040   => 17x/12 =2040   => 2040 x 12/ 17 = Rs.1440   Hence, B’s share = Rs. (1440/4) = Rs. 360.   Answer Rs. 360
Answer: D
Each student at a certain business school is assigned a 8-digit student identification number. The first digit of the identification number cannot be zero, and the last digit of the identification number must be prime. How many different student identification numbers can the school create?
Choose the correct choice from the following answers
A) 9,000 B) 3,600 C) 36,000,000 D) 2,592 E) 1,944

Solution: The identification number is of the form _ _ _ _   1. First digit cannot be 0   2. Middle digits can be anything   3. Last digit has to be prime - 2, 3, 5, 7   We can have the following number of possibilities for each space   __ __ __ __   9 10 10 10 10 10 10 4   Total cases = 36,000,000   Option 36,000,000
Answer: C
Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1350 as rent for parking his cars, what is the total rent paid by all the four agencies?  Pick.
A) Rs. 4500  B) Rs. 4800  C) Rs. 5250  D) Rs. 7380  E) None of these

Solution: The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15   = 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60   Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.   The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k   It is given that A paid Rs. 1350   45k 45  + 60  + 81  + 60= 
45  + 60  + 81  + 60 = 246
246k   It is given that A paid Rs. 1350   45k= 1350 => k = 30   246k = 246(30) = Rs. 7380   Thus the total rent paid by all the four agencies is Rs. 7380.   ANSWER:Rs. 7380
Answer: D
The average of 10 numbers is 23. If each number is increased by 2, what will the new average be? Choose one.
A) 36	B) 25	C) 72	D) 29	E) 22

Solution: Sum of the 10 numbers = 230   If each number is increased by 2, the total increase =   2 * 10= 
2 * 10 = 20
20   The new sum= 230 + 20= 
230 + 20 = 250
250 The new average= 250/10= 
250/10 = 25
25.   Answer:25
Answer: B
A train 180 m in length crosses a telegraph post in 20 seconds. The speed of the train is?  Select the correct option.
A) 37 kmph
B) 35 kmph
C) 32 kmph
D) 38 kmph
E) 36 kmph

Solution: S = 180/20 * 18/5   = 32 kmph   Answer: 32 kmph
Answer: C
The speeds of three motor bikes are in the ratio 6 : 5 : 4. The ratio between the time taken by them to travel the same distance is :  Options
A) 10 : 12 : 15 B) 12 : 10 : 8 C) 15 : 12: 10 D) 10 : 15 : 12 E) 13 : 15 : 12

Solution: Ratio of time taken :   1/6 :1/5 : 1/4 = 10 : 12 : 15   10 : 12 : 15NSWER:10 : 12 : 15
Answer: A
Micheal and Adam can do together a piece of work in 20 days. After they have worked together for 15 days Micheal stops and Adam completes the remaining work in 10 days. In how many days Micheal complete the work separately.
Choose the correct answer:
A) 40 days
B) 100 days
C) 120 days
D) 110 days
E) 90 days

Solution: Rate of both = 1/20   Together they do = 1/20*15 = 3/4   Left work = 1 - 3/4 = 1/4   Adam completes 1/4 work in 10 day   so he took 10*4= 
10*4 = 40
40 days to complete the left work alone.   Thus the rate of adam is 40/1   Rate of Micheal= 1/20 - 1/40 = 1/40   Thus micheal takes 40 days to complete the whole work.   ans. 40 days.
Answer: A
There is 60% increase in an amount in 6years at SI. What will be the CI of Rs. 13,000 after 3 years at the same rate?
Choose the correct answer:
A) 2372  B) 2572  C) 4303  D) 2343  E) 3972

Solution: Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.   R = 100 x 60 = 10% p.a.   100 x 6   Now, P = Rs. 13000. T = 3 years and R = 10% p.a.   C.I.   = Rs. 13000 x 1 +	10 3	- 1   100   = Rs. 13000 x	331   1000   = 4303.   4303
Answer: C
In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
Select the correct option.
A) 170  B) 180  C) 200  D) 210  E) 230

Solution: 7p3 = 7 × 6 × 5 = 210   Option '210'
Answer: D
Ashley and Vinny work on a sales staff with 8 other salespeople. If five members of the staff will be chosen at random to attend a sales workshop, what is the probability that both Ashley and Vinny will be chosen? Choose the correct answer
A) 1/10 B) 3/28 C) 2/9 D) 1/4 E) 1/2

Solution: I did slightly different and hence obviously ended up with the answer 2/9.   I assumed that because Ashley and Vinny have to be chosen, the remaining selection is 3 people from 8.   8C3/10C5= 2/9. Option 2/9.
Answer: C
Nil and Ethan are brothers. They left their home
at the same time and drove to the same beach.
Nil drove at a speed of 30 miles per hour. Ethan
drove at a speed of 20 miles per hour. Nil
arrived at the beach 0.5 hour earlier than Ethan.
What is the distance between their home and the
beach? Choose the most appropriate option.
A) 20 miles  B) 30 miles  C) 40 miles  D) 50 miles  E) 60 miles

Solution: Every hour, Nil gets ahead of Ethan  30 - 20= 
 30 - 20 = 10
10 miles. When Nil arrived at the beach, Ethan   is only 20 × 0.5= 10 miles behind. That tells us   they only drove 1 hour when Nil arrived at the   beach.   The distance between their home and the beach   is   Nil’s speed × Nil’s time   = 30 × 1 = 30 miles.   correct answer 30 miles
Answer: B
A candy company sells premium chocolate at $5 per pound and regular chocolate at $4 per pound in increment of whole pound only.If Barrett buys a pack of candies which costs him $50, how many pounds of premium chocolates are in the box?	Choose the most appropriate option: A) [A] 1 B) [B] 2 C) [C] 3 D) [D] 4 E) [E] 5

Solution: This question is a bit of Special equations with a single set of unique values.   the Equation stands : 5X + 4Y =50   Subtract multiple of 5 from 31 and check whether the remaining total is divisible by 4   31 - 5= 
31 - 5 = 26
26 -> Not divisible by 4   31 - 10= 
31 - 10 = 21
21 -> Not divisible by 4   31 - 15= 
31 - 15 = 16
16 -> Divisible by 4   31 - 20= 
31 - 20 = 11
11 -> Not divisible by 4   31 - 25= 
31 - 25 = 6
6 -> Not divisible by 4   31 - 30= 
31 - 30 = 1
1 -> Not divisible by 4   Any multiple of 5 hereon will give a negative value for regular chocolates bought and hence, inadmissible   Thus Amount spent on regular chocolate= $16   Amount spent on Premium chocolate= $15   Price per premium chocolate = $5   No. Of boxes of premium chocolate bought = 25 / 5= 
25 / 5 = 5
5   Correct Option : [E] 5
Answer: E
A tank can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tank from empty state if B is used for the first half time and then A and B fill it together for the other half	Choices:
A) 15 mins  B) 20 mins  C) 25 mins  D) 30 mins  E) None of these

Solution: Explanation:   Let the total time be x mins.   Part filled in first half means in x/2 = 1/40   Part filled in second half means in x/2 =   1/60+1/40=1/24   Total = x/2∗1/40+x/2∗1/24=1   =>x/2(1/40+1/24)=1   =>x/2∗1/15=1   =>x=30mins   Option 30 mins
Answer: D
By selling a bat for Rs.810/- a man loses 10% what is that bat cost price	Select the correct option.
A) s.600/-  B) s.630/-  C) s.700/-  D) s.780/-  E) s.900/-

Solution: 90 % ------> 810 (90 * 9 = 810)   100 % ------>900 (100 * 9 = 900)   Cost price = Rs.900/-   s.900/-)
Answer: E