MU-NLPC/Calc-aqua_rat huggingface dataset:
There stand nine temples in a row in a holy place. All the nine temples have 100 steps climb. A fellow devotee comes to visit the temples. He drops a Re. 1 coin while climbing each of the 100 steps up. Then he offers half of the money he has in his pocket to the god. After that, he again drops Re. 1 coin while climbing down each of the 100 steps of the temple.
If he repeats the same process at each temple, he is left with no money after climbing down the ninth temple. Can you find out the total money he had with him initially?
Choose the correct choice from the following answers.
A) 143700 B) 146900 C) 376190 D) 248117 E) 127690

Solution: B   146900   Whenever you face such type of questions, it is wise to begin from the last thing. Here in this question the last thing will be the 9th temple. He climbed down 100 steps and thus you know, he had Rs. 100 before beginning climbing down. Thus, he must have offered Rs. 100 to the god in that temple too (he offered half of the total amount). Also, he must have dropped Rs. 100 while climbing the steps of the ninth temple. This means that he had Rs. 300 before he begand climbing the steps of the ninth temple.   Now, we will calculate in the similar manner for each of the temples backwards.   Before the devotee climbed the eight temple: (300+100)*2 + 100= 
(300+100)*2 + 100 = 900
900   Before the devotee climbed the seventh temple:   (900+100)*2 + 100= 
  (900+100)*2 + 100 = 2_100
2100   Before the devotee climbed the Sixth temple: (2100+100)*2 + 100= 4300   Before the devotee climbed the fifth temple: (4300+100)*2 + 100= 
(4300+100)*2 + 100 = 8_900
8900   Before the devotee climbed the fourth temple:  (8900+100)*2 + 100= 
 (8900+100)*2 + 100 = 18_100
18100   Before the devotee climbed the third temple: (18100+100)*2 + 100= 36,500   Before the devotee climbed the second temple:  (36500+100)*2 + 100= 
 (36500+100)*2 + 100 = 73_300
73300   Before the devotee climbed the first temple: (73300+100)*2 + 100= 
(73300+100)*2 + 100 = 146_900
146900   Therefore, the devotee had Rs. 146900 with him initially.
Answer: B
The average of first 20 natural numbers is?	Choose the correct option:	A) 10.5	B) 11.4	C) 5.3	D) 5.9	E) 5.1

Solution: Sum of 20 natural no. = 420/2= 
420/2 = 210
210   10.5verage= 210/20= 
210/20 = 21/2 = around 10.5
10.5   10.5nswer:10.5
Answer: A
a dog have birth to 12 puppies, 2 female and 10 male. what is the ratio of the female puppies to the male?	Choose one:	A) 1/5	B) 1/6	C) 1/10	D) 2/12	E) 1/8

Solution: If female is 2 and male is 10, then 1/5.   so ratio of female to male is = 2/10 = 1/5   1/5NSWER:1/5
Answer: A
A small water pump would take 3 hours to fill an empty tank. A larger pump would take 3/4 hour to fill the same tank. How many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time?
Choose the correct option:
A) 3/4 B) 3/5 C) 5/7 D) 1/2 E) 4/5

Solution: Rate of the small pump is 1/3 tank/hour   Rate of the larger pump is 1/(3/4) or 4/3 tank/hour;   Combined rate of the two pumps is 1/3+4/3=5/3 tank/hour, together they will fill the empty tank in 1/(5/3)) = 3/5 hours (time=job/rate).   Answer: 3/5
Answer: B
P is five times as old as Q, and Q is six years older than R. If R is z years old, what is P’s age in terms of z?	Choices:  A) 5z + 6  B) 5z − 30  C) 5z + 30  D) (z + 6)/5  E) (z − 6)/5

Solution: P = 5Q   Q = R+6 = z+6   P = 5(z+6) = 5z + 30   The answer is 5z + 30.
Answer: C
A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle? Options:	A) 54 cm2	B) 30 cm2	C) 17 cm2	D) 26 cm2	E) 98 cm2

Solution: The circumference of the circle is equal to the permeter of the rectangle.   Let l = 6x and b = 5x 2(6x + 5x) = 2 * 22/7 * 3.5   => x = 1   Therefore l = 6 cm and b = 5 cm Area of the rectangle   = 6 * 5= 
6 * 5 = 30
30 cm2   Answer: 30 cm2
Answer: B
R=(429)^2 * 237 * (1243)^3 is thrice of ? Select:
A) 33605 * 31960 * (1243)^2	B) 33654 * 538219 * (1243)^2	C) 33891 * 533247 * (1243)^2	D) 34122 * 532004 * (1243)^2	E) 34606 * 534572 * (1243)^2

Solution: R=(429)^2*237*(1243)^3 is an odd number.   Among answer choices only C is an odd number, (so thrice C also will be an odd number).   Answer: 33891 * 533247 * (1243)^2.
Answer: C
The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
Choose the correct choice from the following options:	A) 5	B) 4	C) 7	D) 2	E) 1

Solution: Let the sides of the rectangle be l and b respectively.   From the given data,   (√l2 + b2) = (1 + 108 1/3 %)lb   => l2 + b2 = (1 + 325/3 * 1/100)lb   = (1 + 13/12)lb   = 25/12 lb   => (l2 + b2)/lb = 25/12   12(l2 + b2) = 25lb   Adding 24lb on both sides   12l2 + 12b2 + 24lb = 49lb   12(l2 + b2 + 2lb) = 49lb   but 2(l + b) = 28 => l + b = 14   12(l + b)2 = 49lb   => 12(14)2 = 49lb   => lb = 48   Since l + b = 14, l = 8 and b = 6   l - b = 8 - 6= 
8 - 6 = 2
2m.Answer: 2
Answer: D
Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.
Year	Item of Expenditure
Salary	Transport and Fuel	Bonus	Interest on Loans	Taxes
1998	288	98	3.00	23.4	83
1999	342	112	2.52	32.5	108
2000	324	101	3.84	41.6	74
2001	336	133	3.68	36.4	88
2002	420	142	3.96	49.4	98
The total amount spent for transport by the company during the given period is approximately what percent of the total amount of salary paid during this period?	Choose the correct choice.
A) A)0.5%  B) B)1.24%  C) C)1%  D) D)3%  E) E)4%

Solution: Required percentage   =	(288 + 342 + 324 + 336 + 420)   =	[	17	x 100	]	%   1710   ~= 1%.   Answer : 1%
Answer: C
The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is?	Choose one.
A) 76 m
B) 178 m
C) 225 m
D) 187 m
E) 176 m

Solution: Speed = [45 X 5/18] m/sec   = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (150 + x)/30 = 25/2   => 2(150 + x)= 750 => x = 225 m.   Answer: 225 m
Answer: C
If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 36. By how much do the two digits differ?
Pick
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: we are given that if the integer N has its digits reversed the resulting integer differs from the original by 25. First let’s express the reversed number in a similar fashion to the way in which we expressed the original integer.   10B + A = reversed integer   Since we know the resulting integer differs from the original by 27 we can say:   10B + A – (10A + B) = 36   10B + A – 10A – B = 36   9B – 9A = 36   B – A = 4   Since B is the tens digit and A is the units digit, we can say that the digits differ by 4.   The answer is 4.
Answer: B
Eighty percent of the lights at Hotel California are on at 8 p.m. a certain evening. However, forty percent of the lights that are supposed to be off are actually on and ten percent of the lights that are supposed to be on are actually off. What percent X of the lights that are on are supposed to be off?	Choose the correct choice from the following choices.
A) 22(2/9)% B) 16(2/3)% C) 11(1/9)% D) 10% E) 5%

Solution: Is the Answer D.   let me try..   Let the light which are supposed to be OFF = SO   Let the light which are supposed to be ON = SN   Let the light which are ACTUALLY OFF = AO   Let the light which are ACTUALLY ON = AN   Let the total no. of lights be 100,   So ACTUALLY ON lights = 80   And ACTUALLY OFF lights = 20   Also given >> forty percent of the lights that are supposed to off are actually on >>> (40/100)*SO are ACTUALLY ON   it means >>> (60/100)*SO are ACTUALLY OFF   Also given >> ten percent of the lights that are supposed to be on are actually off >>> (10/100)*SN are ACTUALLY OFF   it means >>> (90/100)*SN are ACTUALLY ON   So, Total ACTUALLY ON lights = (40/100)*SO + (90/100)*SN = 80   and Total ACTUALLY OFF lights = (60/100)*SO + (10/100)*SN = 80   From here we get SO = 20   we need to find: What percent of the lights that are on are supposed to be off >>> So light ACTUALLY ON are 80 and light which are ACTUALLY ON, which are supposed to be OFF = (40/100)*SO = 8.   So (8/80)*100= 
(8/80)*100 = 10
10%.10%
Answer: D
What is the lowest possible common multiple of 2 distinct integers, each greater than 145?  Options:
A) 146
B) 147
C) 292
D) 146*146
E) 146*147

Solution: The least common multiple of two numbers greater than 145 is 2(146) = 292, where the two distinct integers are 146 and 292.   The answer is 292.
Answer: C
Anand and Deepak started a business investing Rs. 500 and Rs. 600 respectively. Out of a total profit of Rs. 420. Deepak's share is?
Choose the correct choice from the following options: A) s. 220.01 B) s. 450.20 C) s. 845.01 D) s. 320.01 E) s. 229.09

Solution: Ratio of their shares = 500 : 600 = 5 : 6   Deepak's share = Rs. (420* 6/11) = Rs. 229.09 ANSWs. 229.09R "s. 229.09
Answer: E
The numerator of a fraction is increased by 200% and denominator is increased by 250% the resultant fraction is 3/14. What is the original fraction?
Choose the correct choice from the following choices:	A) 1/2	B) 3/4	C) 1/4	D) 1/8	E) 3/8

Solution: if the original fraction is x/y then after increasing numerator by 200% and denomenator by 250% new fraction will become 3x/3.5y   3x/3.5y = 3/14 => x/y = 1/4 , Hence original fraction is 1/4   ANSWER:1/4
Answer: C
300 is what percent of 40?
.	Select the correct option
A) 0.2%  B) 2%  C) 5%  D) 20%  E) 750%

Solution: 300= x*40/100   x = 750%   Ans; 750%
Answer: E
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:	Choose the correct option:
A) 504	B) 536	C) 544	D) 548	E) 568

Solution: Required number = (L.C.M. of 12, 15, 20, 54) + 8   = 540 + 8= 
540 + 8 = 548
548.   Answer: Option 548
Answer: D
The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/18 of the area of the field. What is the length of the field?	Choose the correct option:  A) 23  B) 32  C) 34  D) 43  E) 48

Solution: 48xplanation:   A/18 = 8 * 8 => A = 8 * 8 * 18   x * 2x = 8 * 8 * 18   x = 24 => 2x = 48   Answer: Option 48
Answer: E
Which of the following does NOT have a decimal equivalent that is a terminating decimal?
Choose the correct choice from the following answers.
A) 1/2^25	B) 5^3/2^7	C) 3^8/6^10	D) 3^9/6^7	E) 6^8/10^10

Solution: For a fraction to have terminating decimal, it must either have only 2 and/or 5 in the denominator. All other values in the denominator leads to non terminating decimal values   Hence,   1. A has 2 in the denominator, Hence it is terminating   2. B is also terminating   3. 3^8/(6^10) can be written as 3^8/ (2^10 * 3^10) => 1/(2^10 * 3^2). There is 3 in the denominator. Hence it is non terminating decimal   4. 3^9/(2^7 * 3^7) => 3^2/2^7. Hence Terminating   5. Has both 2 & 5 in the denominator. Hence Terminating.   Option 3^8/6^10
Answer: C
In Company J, the total monthly payroll for the 15 factory workers is $30,000 and the total monthly payroll for the 30 office workers is $75,000. By how much does the average (arithmetic mean) monthly salary of an office worker exceed that of a factory worker in this company?
Choose the correct choice from the following options.
A) $450 B) $500 C) $600 D) $650 E) $750

Solution: The average monthly salary of a factory worker is: $30,000 / 15 = $2000.   The average monthly salary of an office worker is: $75,000 / 30 = $2500.   The difference in average salary is: $2500 - $2000 = $500.   The answer is $500.  2500 -  2000= 
  2500 -  2000 = 500
$500.   The answer is $500.
Answer: B
The length of the room is 5m and width is 5m. Find the cost of paving the floor by slabs at the rate of Rs.200 per sq meter?	Choose the correct choice from the following options:
A) 2000  B) 3000  C) 4000  D) 3500  E) 5000

Solution: l=5m w=5m   area of the floor = 5x 5 = 25 sq m   cost of paving = 200 x 25= Rs. 5000   Answer: 5000
Answer: E
There are two numbers. If 50% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number? Choose the correct option:
A) A)1/2	B) B)5/8	C) C)6	D) D)6/7	E) E)7

Solution: Let the two numbers be x and y.   50/100 * x + y = 5/4y   => 1/2 x = 1/4 y => x/y = 1/2   1/2)
Answer: A
A family with 1 mother, 1 father, and 3 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back with the other two children, how many seating arrangements are possible?	Choose the correct choice from the following answers:  A) 3  B) 4  C) 6  D) 12  E) 18

Solution: In the front seat we have 3 possibilities of children. (C1 or C2 or C3)   In the back seat we have (2!*1)*3 = 6 possibilities ( C1,C2,F / C2,C1,F / C1,F,C2 / C2,F,C1 / F,C1,C2 / F,C2,C1 -> IF C3 is in front seat)   So, 6*3  (2 *1)*3= 
 (2 *1)*3 = 6
6 possibilities ( C1,C2,F / C2,C1,F / C1,F,C2 / C2,F,C1 / F,C1,C2 / F,C2,C1 -> IF C3 is in front seat)   So, 6*3= 18 (try to figure out to change the possibilities of sitting back the C3 child in the place of C1 or C2 and do the 6 possibilities again and again).   Or, another way to see:   Looking into the back seat:   ( C1,C2,F / C2,C1,F / C1,F,C2 / C2,F,C1 / F,C1,C2 / F,C2,C1) = 6   or +   ( C3,C2,F / C2,C3,F / C3,F,C2 / C2,F,C3 / F,C3,C2 / F,C2,C3) = 6   or +   ( C1,C3,F / C3,C1,F / C1,F,C3 / C3,F,C1 / F,C1,C3 / F,C3,C1) = 6   -------   ANS : 18 :18
Answer: E
A technical support team of 6 agents is chosen from 9 senior-level agents and 5 junior-level agents. The team must have at least 2 seniors and at least 3 juniors. How many ways can this team be created?
Choose the correct answer.
A) 140
B) 320
C) 1015
D) 1020
E) 2204

Solution: Solution: We have two possibilities 2S 4J or 3S 3J   (9C2)(5C4)+(9C3)(5C3)=700   1020) 1020
Answer: D
The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:
Choose the correct answer
A) 3 B) 4 C) 5 D) 6 E) None of these

Solution: Explanation:   P(1 + 20/100)n >2P => (6/5)n >2   Now,(6/5 x 6/5 x 6/5 x	6/5	)>2   So, n = 4 years.   ANSWER IS 4
Answer: B
How many figures are required to number the pages the pages of a book containing 223 pages?	Choose the correct choice from the following choices:
A) 372  B) 661  C) 561  D) 467  E) 761

Solution: 1 to 9 = 9 * 1= 
9 * 1 = 9
9   10 to 99= 90 * 2= 
90 * 2 = 180
180   100 to 223= 124 * 3= 
124 * 3 = 372
372   -----------   561   ANSWER:561
Answer: C
Find L.C.M of 852 and 1491
Options
A) 5964  B) 5664  C) 4964  D) 4664  E) 5555

Solution: 852) 1491 (1   852   639) 852 (1   639   213) 639 (3   639   0   H.C.F of 852 and 1491 is 213   : . L.C.M = 852*1491/213= 
852*1491/213 = 5_964
5964   5964nswer is 5964.
Answer: A
In a set of numbers from 100 to 1000 inclusive, how many integers are odd and do not contain the digit 3?	Choose the correct choice.
A) 180  B) 288  C) 286  D) 284  E) 324

Solution: We have to find the total number of 3-digit odd numbers not having 3 as a digit.   Units digits will be among 1,5,7,9   Tenth digits will be among 0,1,2,5,4,6,7,8,9   Hundredth digits will be among 1,2,5,4,6,7,8,9   So total numbers = 4*9*8= 
4*9*8 = 288
288   Answer : 288
Answer: B
By selling an umbrella for Rs. 300, a shop keeper gains 10%. During a clearance sale, the shopkeeper allows a discount of 5% on the marked price. His gain percent during the sale is?
Choose the correct choice.
A) 5.56%
B) 2%
C) 8%
D) 3%
E) 4%

Solution: Marked price = Rs. 300   C.P. = 100/110 * 300 = Rs. 270   Sale price = 95% of Rs. 300 = Rs. 285   Required gain % = 15/270 * 100 =5.56%.   5.56%nswer: 5.56%
Answer: A
Solve(0.76 × 0.76 × 0.76 − 0.008)/(0.76 × 0.76 + 0.76 × 0.2 + 0.04) Choose one:
A) 0.56	B) 0.62	C) 0.5	D) 0.48	E) 0.52

Solution: 0.56   Option '0.56'
Answer: A
The average of runs of a cricket player of 10 innings was 18. How many runs must he make in his next innings so as to increase his average of runs by 4?	Select.
A) 87
B) 16
C) 62
D) 76
E) 17

Solution: Average after 11 innings = 22   Required number of runs   = (33* 11) - (18* 10) = 242 - 180= 
242 - 180 = 62
62.   Answer: 62
Answer: C
If the wheel is 14 cm then the number of revolutions to cover a distance of 3520 cm is?  Pick one
A) 22	B) 28	C) 17	D) 12	E) 40

Solution: 2 * 22/7 * 14 * x = 3520 => x = 40   Answer: 40
Answer: E
A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 5:3. The ratio of economy cars to sport utility vehicles is 4:3. What is the ratio of luxury cars to sport utility vehicles?	Choose the correct option
A) 12:15  B) 8:9  C) 3:2  D) 2:3  E) 1:2

Solution: The ratio of economy to luxury cars is 5:3 --> E:L = 5:3 = 20:12.   The ratio of economy cars to sport utility vehicles is 4:3 --> E:S = 4:3 = 20:15.   Thus, L:S = 12:15.   12:15nswer: 12:15.
Answer: A
Graph G has a line of symmetry of x = –2. Graph G passes through the point (3, 3). What is the x-coordinate of another point that must have a y-coordinate of 3? Choose the most appropriate option: A) –8 B) –7 C) –5 D) –4 E) 2

Solution: Line of symmetry is X=-2; one point is (3,3)   Right side distance =2+3(distance from origin) = 5; therefore Left side distance should be same from line of symmetry =5;   therefore left side co-ordinate=5+ 2(distance from origin) = 7; as the X coordinate is in 2nd quadrant hence -7   Therefore answer is –7
Answer: B
The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 44 kg, then the weight of B is:  Pick:	A) 31 kg	B) 32 kg	C) 33 kg	D) 34 kg	E) None of these

Solution: Explanation:   Let A, B, C represent their respective weights. Then, we have:   A + B + C = (45 x 3) = 135 …. (i)   A + B = (40 x 2) = 80 …. (ii)   B + C = (44 x 2) = 88 ….(iii)   Adding (ii) and (iii), we get: A + 2B + C = 168 …. (iv)   Subtracting (i) from (iv), we get : B = 33.   B’s weight = 33 kg.   Answer: 33 kg
Answer: C
A rectangular-shaped carpet that measures x feet by y feet is priced at $46. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Choose the correct choice from the following options
A) xy/360	B) 9xy/40	C) 40xy/9	D) 414xy	E) 414/(xy)

Solution: The area of the carpet in feet is xy.   The area in square yards is xy / 9.   The price per square yard is 46 / (xy/9) = 414/(xy).   The answer is 414/(xy).
Answer: E
Find the L.C.M of 16,24,36,54
Choose the correct option:
A) 528
B) 432
C) 528
D) 456
E) 741

Solution: The l.c.m of 16,24,36,54=2^4*3^3=432   Answer(432)
Answer: B
A man wears socks of two colours - Black and brown. He has altogether 20 black socks and 20 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair ?
Select
A) 3 B) 20 C) 39 D) 45 E) None of these

Solution: Explanation:   Since there are socks of only two colours, so two out of any three socks must always be of the same colour.   3nswer: 3
Answer: A
A coin is tossed live times. What is the probability that there is at the least one tail?
Choose the most appropriate option:
A) 31/32	B) 31/39	C) 31/31	D) 61/32	E) 32/39

Solution: Explanation:   Let P(T) be the probability of getting least one tail when the coin is tossed five times.   = There is not even a single tail.   i.e. all the outcomes are heads.   = 1/32 ; P(T) = 1 - 1/32 = 31/32   31/32nswer:31/32
Answer: A
A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 6 minutes?	Choose the correct choice from the following options:
A) 36  B) 54  C) 108  D) 216  E) 324

Solution: Direct Relationship:-   1 standard Veggiematik machine - 36 Carrots - 4 minutes,   1 standard Veggiematik machine - 9 Carrots - 1 minute,   Now   6 standard Veggiematik machine - ? Carrots - 6 minutes,   Hence = 9X6X6 =324 Carrots   Answer 324
Answer: E
In Township K, 1/5 of the housing units are equiped with cable Tv. If 1/15 of the housing units, including 1/3 of those that are equiped with cable tv, are equipped with videocassette recorders, what fraction of the housing units have neither cable tv nor videocassette recorders?
Choose the correct choice from the following answers:  A) 23/30  B) 11/15  C) 7/10  D) 4/5  E) 2/15

Solution: 1/5 -- cable TV (This includes some data from video cassette recorder)   1/15 -- video cassette recorder including 1/3(equiped with cable tv) i.e. 1/3(1/5) = 1/15   therefore only video cassette recorder = 1/15 - 1/15= 
1/15 - 1/15 = 0
0   Total= 1/5+0+neither cable tv nor videocassette recorders   1 = 1/5 + neither cable tv nor videocassette recorders   therefore neither cable tv nor videocassette recorders = 1-1/5 = 4/5   Hence 4/5.
Answer: D
Harry started a 7-mile hike with a full 9-cup canteen of water and finished the hike in 2 hours with 3 cup of water remaining in the canteen. If the canteen leaked at the rate of 1 cup per hour and Harry drank 2 cups of water during the last mile, how many cups did he drink per mile during the first 6 miles of the hike?
Choose the correct option.
A) 1/6
B) 2/6
C) 3/6
D) 4/6
E) 5/6

Solution: No of cups leaked during the trip = 2 cups.   No of cups Harry drank = 6 cups.   No of cups harry drank during the first 6 miles = 4.   drink / mile = 4/6   Answer 4/6
Answer: D
If a cloth merchant sells ‘a’ metres of cloth for Rs.x, then what is the selling price of ‘b’ metres of cloth? Choose the most appropriate option:
A) Rs.(b*x)
B) Rs.{(b*x)/a}
C) Rs.{(a*b)/x}
D) None of these
E) Cannot be determined

Solution: Explanation:   Cost of ‘a’ metres of cloth = Rs.x. Therefore, each metre of cloth costs Rs. (x/a).   The cost of ‘b’ metres of cloth = Rs. b*(x/a) = Rs. {(b*x)/a}   ANSWER Rs.{(b*x)/a}
Answer: B
In how many different ways can three letters be posted from seven different postboxes assuming no two letters can be posted from the same postbox?
Select the correct option:
A) 110
B) 210
C) 310
D) 410
E) 510

Solution: First letter could be sent from ANY of the seven postboxes - 7 (7 options);   Second letter could be sent from the SIX postboxes left - 6 (6 options);   Third letter could be sent from the FIVE postboxes left - 5 (5 options);   Total # of ways =7*6*5= 
7*6*5 = 210
210   ANSWER:210
Answer: B
A boat can travel with a speed of 12 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.	Options: A) 4.25 hr B) 5.25 hr C) 8.25 hr D) 2.25 hr E) 2.50 hr

Solution: speed of boat in still water = 12 km/hr   speed of the stream = 4 km/hr   Speed downstream = (12+4)= 
(12+4) = 16
16 km/hr   Time taken to travel 68 km downstream= 68⁄16 = 17⁄4 = 4.25 hours   4.25 hrnswer is 4.25 hr
Answer: A
what is a percent of b divided by b percent of a?
(a) a (b) b (c) 1 (d) 10 (d) 100  Choices:
A) 1 B) 7 C) 19 D) 2 E) 3

Solution: a percent of b : (a/100) * b   b percent of a : (b/100) * a   a percent of b divided by b percent of a : ((a / 100 )*b) / (b/100) * a )) = 1   1nswer:1
Answer: A
At what time between 5.30 and 6 will the hands of a clock be at right angles? Choose the correct option
A) 40 min. past 5
B) 42 min. past 5
C) 43 4/11 min past 5
D) 43 7/11 min. past 5
E) None

Solution: Sol.   At 5 o’clock, the hands are 24 min. spaces apart.   To be at right angles and that too between 5.30 and 6, the minute hand hasto gain  (25 + 15)= 
 (25 + 15) = 40
40 min. spaces.   55 min. spaces are gained in 60 min.   40 min. spaces are gained in [60/55 * 40] min.= 43 7/11 min.   ∴ Required time = 43 7/11 min. past 5.   Answer 43 7/11 min. past 5
Answer: D
Pipe A can fill a tank in 15 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes? Choose the correct choice from the following answers
A) 18	B) 27	C) 98	D) 27	E) 24

Solution: Let the pipe B be closed after x minutes.   30/15 - x/24 = 1 => x/24 = 30/15 - 1= 
30/15 - 1 = 1
1=> x = 1* 24= 
1* 24 = 24
24.   Answer:24
Answer: E