mathewhe/aqua_rat huggingface dataset:
Question: A and B invests Rs.3000 and Rs.10000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
(A) 9:6
(B) 9:8
(C) 9:20
(D) 9:9
(E) 9:5
Rationale: (3*6 + 6*6): (10*12)
54:120 => 9:20.Answer:C
Answer: (C) 9:20
Question: Which of the following fractions T has a decimal equivalent that is a terminating decimal?
(A) 10/189
(B) 15/196
(C) 16/225
(D) 25/144
(E) 39/128
Rationale: The fraction T will terminate if and only if the denominator has prime divisors only 2 and 5 or both.
A. 10/189 = 10/(3*3*3*7) Non-term.
B. 15/196 = 15/(2*2*7*7) Non-term.
C. 16/225 = 16/(5*5*3*3) Non-term.
D. 25/144 = 25/(2*2*2*7) Non-term.
E. 39/128 = 39/(2^7) Terminatingbecause only 2 in denominator.
Answer: (E) 39/128
Question: In a simultaneous throw of a pair of dice, find the probability of getting a total more than 5
(A) 1/2
(B) 7/12
(C) 5/13
(D) 5/12
(E) 3/8
Rationale: Total number of cases = 4*4 = 16
Favourable cases = [(2,4),(3,3),(3,4),(4,2),(4,3),(4,4)] = 6
So Probability = 6/16 = 3/8
Answer is E
Answer: (E) 3/8
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
(A) 5/17
(B) 5/12
(C) 5/19
(D) 5/29
(E) 5/13
Rationale: Using question number 11 and 12, we get the probability as
1 - (1/36 + 5/9)
= 5/12
Answer:B
Answer: (B) 5/12
Question: In how many ways 3 boys and 3 girls can be seated in a row so that boys and girls are alternate?
(A) 69
(B) 70
(C) 71
(D) 72
(E) 73
Rationale: number of ways = 2*3!*3! = 72
Answer is D
Answer: (D) 72
Question: If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively:
(A) Rs.260
(B) Rs.360
(C) Rs.350
(D) Rs.364
(E) Rs.362
Rationale: (A = 2/3 B and B = 1/4 C) = A/B = 2/3 and B/C = 1/4
A:B = 2:3 and B:C = 1:4 = 3:12
A:B:C = 2:3:12
A;s share = 510 * 2/17 = Rs. 60
B's share = 510 * 3/17 = Rs. 90
C's share = 510 * 12/17 = Rs.360.
Answer: B
Answer: (B) Rs.360
Question: How many different ways can 2 students be seated in a row of 4 desks, so that there is always at least one empty desk between the students?
(A) 2
(B) 3
(C) 4
(D) 6
(E) 12
Rationale: Total cases : 12 ( student one has 4 options and student two has three options, 4x3=12)
Non-favourable cases : 6 (when two students sit together. students in desk 1 and desk 2 , in desk 2 and desk 3, in desk 3 and desk 4) for each of these cases there are two possibilities because the positions can be interchanged. hence 2x3=6.
SO favourable cases : 12-6=6. ANSWER:D
Answer: (D) 6
Question: A women in her conversation said " if u reverse my own age, in figures represent my husbands age. he is of course senior to me and difference between our age is one 0ne-eleventh of their sum. what is the woman's and her husbands age?
(A) 45,54
(B) 46,57
(C) 84,57
(D) 34,58
(E) 52,54
Rationale: let man,s age be xy
the woman's age is yx
then 10x+y-10y-x=1/11(10x+y+10y+x)
9x-9y=x+y
8x=10y
x/y=10/8=5/4
so xy=54 and yx=45
ANSWER:A
Answer: (A) 45,54
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
(A) 150
(B) 88
(C) 77
(D) 62
(E) 52
Rationale: Length of the train be ‘X’
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m
Answer: A
Answer: (A) 150
Question: A certain barrel, which is a right circular cylinder, is filled to capacity with 200 gallons of oil. The first barrel is poured into a second barrel, also a right circular cylinder, which is empty. The second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel. If all of the oil in the first barrel is poured into the second barrel, how much empty capacity, in gallons, is left in the second barrel?
(A) There is no empty capacity
(B) 1100 gallons
(C) 1300 gallons
(D) 1400 gallons
(E) 1800 gallons
Rationale: Radius of first cylinder=r, diameter=2r, height=h
Radius of second cylinder=2r, diameter=2d and height=2h
Volume of first cylinder=pie (r^2)*h=200
Volume of second cylinder=pie(2r^2)2h
Put the value of pie (r^2)*h=200 in the second cylinder,volume= pie (r^2)*4*2=200*8=1600 gallons
Empty capacity=1400
D
Answer: (D) 1400 gallons
Question: Gautami went to the stationers and bought things worth Rs. 100, out of which 50 paise went on sales tax on taxable purchases. If the tax rate was 5%. then what was the cost of the tax free items?
(A) Rs. 99.50
(B) Rs. 70.50
(C) Rs. 89.50
(D) Rs. 69.50
(E) Rs. 80.50
Rationale: Solution
Let the amount of taxable purchases be Rs.x.
Then, 5% of x	= 50/100
x ‹=› (50/100×100/5)
= 10
Cost of tax free items	= Rs.[100 - (10 + 0.50)]
= Rs. 89.50
Answer C
Answer: (C) Rs. 89.50
Question: When a student Joe, weighing 40 kg, joins a group of students whose average weight is 30 kg, the average weight goes up by 1 kg. Subsequently, if two students, excluding Joe, leave the group the average weight comes back to 30 kg. What is the difference between the average weight of the two students who left and the weight of Joe?
(A) 5 kg
(B) 11 kg
(C) 30 kg
(D) 36.5 kg
(E) 71 kg
Rationale: After two persons leave the group the average remains the same. That means the weight of the two persons = 40+30 = 70
So, the average the two persons = 35
That gives the answer 40-35 = 5
Answer A
Answer: (A) 5 kg
Question: Three men A, B and C working together can do a work in 17 days. They start the work together and A works for 5 days and takes rest on the sixth day, B works for 5 days and takes rest on the next two days and C works for 8 days and takes rest on the next three days. In how many days will the work be completed ? (A, B, C work at the same rate)
(A) 24 days
(B) 23 days
(C) 22 days
(D) 21 days
(E) 20 days
Rationale: Total work is 3*17 = 51 units.
A does 5 days of work every 6 days.
B does 5 days of work every 7 days.
C does 8 days of work every 11 days.
Test the options.
In 20 days:
A will do 5*3 + 2 =17 units (3 complete cycles and 2 days of work).
B will do 5*2+ 5=15 units (2 complete cycles, 5 days of work, and 1 day of rest).
C will do 8*1 + 8 =16 units (1 complete cycle, 8 days of work, and 1 day of rest).
Total = 17 + 15 + 16 = 48 units.
In 21 days:
A will do 5*3 + 3 =18 units (3 complete cycles and 3 days of work).
B will do 5*3 =15 units (3 complete cycles).
C will do 8*1 + 8 =16 units (1 complete cycle, 8 days of work, and 2 days of rest).
Total = 18 + 15 + 16 = 49 units.
In 22 days:
A will do 5*3 + 4 =19 units (3 complete cycles and 4 days of work).
B will do 5*3 + 1= 16 units (3 complete cycles and 1 day of work).
C will do 8*1 + 8 =16 units (1 complete cycle, 8 days of work, and 3 days of rest).
Total = 19 + 16 + 16 = 51 units.
Answer: C.
Answer: (C) 22 days
Question: A double decked bus can accomodate 100 passengers,40 in the upper deck and 60 in the lower deck.In how many ways can the passengers be accomodated if 15 refuse to be in the upper deck while 10 others refuse to be in the lower deck?
(A) 1. 85!50!60!/40!45!
(B) 2. 75!/30!45!
(C) 3. 110!/50!60!
(D) 4. 110!50!60!/40!45!
(E) 5. 110!/40!45!
Rationale: 100 passengers,40 in the upper deck and 60 in the lower deck.
25 passengers have issues as 15 refuse to be in the upper deck while 10 others refuse to be in the lower deck
So those 15 will be put in lower deck and 10 will be in upper deck
So from the rest 75 passengers(100-25), we need to find 30 people to put into upper deck and the rest go to lower deck
So the ways are: C(75,30) = 75!/30!45! . Answer B
Answer: (B) 2. 75!/30!45!
Question: In a certain supermarket, a triangular display of cans is arranged in 9 rows, numbered 1 through 9 from top to bottom. Each successively numbered row contains 3 more cans than the row immediately above it. If there are fewer than 120 cans in the entire display, how many cans are in the six row?
(A) 12
(B) 14
(C) 16
(D) 18
(E) 20
Rationale: Let x be the number of cans in row 1.
The total number of cans is x + (x+3) + ... + (x+24) =
9x + 3(1+2+...+8) =
9x + 3(8)(9)/2 =
9x + 108
Since the total is less than 120, x must equal 1.
The number of cans in the 6th row is 1 + 3(5) = 16
The answer is C.
Answer: (C) 16
Question: If the height of a cone is increased by 100% then its volume is increased by?
(A) 200%
(B) 300%
(C) 100%
(D) 500%
(E) 350%
Rationale: Height of=>100%
so increased by 100%
ANSWER C
Answer: (C) 100%
Question: A number is doubled and 5 is added. If the resultant is trebled, it becomes 135. What is that number?
(A) 12
(B) 29
(C) 20
(D) 15
(E) 99
Rationale: Explanation:
Let the number be x.
Therefore,
3(2x + 5) = 135
6x + 15 = 135
6x = 120
x = 20
ANSWER:C
Answer: (C) 20
Question: If M = s% of t and N = t% of s, then which of the following is true?
(A) M is equal to N
(B) M is smaller than N
(C) M is greater than N
(D) none of these
(E) Cannot be determined
Rationale: Explanation :
Solution: s% of t = (s/100 * t)
=> (t/100 * s) = t% of s
=> M = N
Answer : A
Answer: (A) M is equal to N
Question: The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?
(A) 8
(B) 7
(C) 6
(D) 5
(E) 2
Rationale: 2x * x = 128 => x= 8
Answer: A
Answer: (A) 8
Question: Distance between 2 places A and B is given. A man P starts from place A at 9 pm and another man Q goes from B at 10pm . Speed of Q is double of that of P. Both cover 1/4 dist in the same time interval. then A travels the entire dist in time
(A) 8hrs
(B) 9hrs
(C) 10hrs
(D) 11hrs
(E) 12hrs
Rationale: let speed of p and q are x, 2x
time taken by A to cover 1/4 distance =t
x*t = 2x*(t-1)
t=2 for 1/4 of total distance
A travels the entire dist in time 2*4=8hrs
ANSWER:A
Answer: (A) 8hrs
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
(A) 1:96
(B) 1:99
(C) 1:95
(D) 1:12
(E) 1:11
Rationale: Let the length and the breadth of the rectangle be 4x cm and 3x respectively.
(4x)(3x) = 6912
12x2 = 6912
x2 = 576 = 4 * 144 = 22 * 122 (x > 0)
=> x = 2 * 12 = 24
Ratio of the breadth and the areas = 3x : 12x2 = 1 : 4x
=1:96.
Answer:A
Answer: (A) 1:96
Question: In the game of Dubblefud, red chips, blue chips and green chips are each worth 1,2 and 5 points respectively. In a certain selection of chips, the product of the point values of the chips is 15, 000. If the number of blue chips in this selection equals the number of green chips, how many red chips are in the selection?
(A) 10
(B) 20
(C) 30
(D) 40
(E) 50
Rationale: this is equivalent to :-
x * 2y * 5z = 15000
y
= z (given)
x * 2y * 5y = 15000
x * y^2 = 15000/10
2x * y^2 = 1500
now from options given we will figure out which number will divide 800 and gives us a perfect square :-
which gives us x = 30 as
2* 30 * y^2 =1500
y^2 = 25
y =5
Number of red chips = 30 hence C
Answer: (C) 30
Question: Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kg of zinc has been consumed in it?
(A) 58 kg
(B) 60 kg
(C) 64 kg
(D) 70 kg
(E) None
Rationale: Sol.
For 9 kg Zinc, mixture melted = (9+11) kg.
For 28.8 kg Zinc, mixture, melted = [20/9 x 28.8] kg
= 64 kg.
Answer C
Answer: (C) 64 kg
Question: If x+y=10, x-y=18, for integers of x and y, x=?
(A) 14
(B) 15
(C) 25
(D) 13
(E) 42
Rationale: x+y =10
x-y = 18
2x = 28
x = 14
Answer is A
Answer: (A) 14
Question: (1^2+2^2+3^2+.....+7^2)=?
(A) 330
(B) 345
(C) 365
(D) 140
(E) None of them
Rationale: formula is (1^2+2^2+3^2+....+n^2=1/6 n(n+1)(2n+1)
n=7
=(1/6x7x8x15)
=140
Answer is D.
Answer: (D) 140
Question: What is the area of an equilateral triangle whose one side length is 50?
(A) 225√3
(B) 325√3
(C) 425√3
(D) 525√3
(E) 625√3
Rationale: -> -> The area of an equilateral triangle with one side length of a is √3a2/4. Thus, √3(50^2)/4=625√3 and the answer is E.
Answer: (E) 625√3
Question: Two thirds of the roads from A to B are at least 5 miles long, and 3/4 of the roads from B to C are at least 5 miles long. If you randomly pick a road from A to B and then randomly pick a road from B to C, what is the probability that at least one of the roads you pick is at least 5 miles long?
(A) 1/6
(B) 1/4
(C) 2/3
(D) 3/4
(E) 11/12
Rationale: So please:
Find the probability of the event thatnoneof the roads you pick will be at least 5 miles long and subtract from 1 to get the probability thatat least oneof the roads you pick will be at least 5 miles long: P=1-1/3*1/4=11/12.
Answer: E.
Answer: (E) 11/12
Question: If a - b = 3 and a2 + b2 = 29, find the value of ab?
(A) 10
(B) 12
(C) 14
(D) 17
(E) 18
Rationale: 2ab = (a2 + b2) - (a - b)2
= 29 - 9 = 20
ab = 10
A)
Answer: (A) 10
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.210 only. Menâ€™s wages are?
(A) 6Rs
(B) 2Rs
(C) 4Rs
(D) 9Rs
(E) 14Rs
Rationale: 5M = xW = 8B
5M + xW + 8B ----- 210 Rs.
5M + 5M + 5M ----- 210 Rs.
15M ------ 210 Rs. => 1M = 14Rs.
Answer: E
Answer: (E) 14Rs
Question: a man can row 20 kmph in still water.it takes him thrice as long to row up as to row down the river.find the rate of stream
(A) 13 km/hr.
(B) 6 km/hr.
(C) 9 km/hr.
(D) 15 km/hr.
(E) 10 km/hr.
Rationale: Let manâ€™s rate upstream be x kmph.then ,his rate downstream=3xkmph.
So,2x=20 or x=10.
Rate upstream=10 km/hr,rate downstream=30 km/hr.
Hence,rate of stream=1/2(30-10)km/hr=10 km/hr.
Answer is E.
Answer: (E) 10 km/hr.
Question: A welder received an order to make a 1 million liter cube-shaped tank. If he has only 4x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order R? (1 cubic meter = 1,000 liters)
(A) 92
(B) 90
(C) 82
(D) 78
(E) 75
Rationale: I get 75. A cube with 1 million liters cube would be a cube with the dimensions of 100*100*100. 4*2 covers 8 sq liters so 100/8 = 12.5.
R=12.5*6 = 75.E
Answer: (E) 75
Question: An empty fuel tank with a capacity of 200 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 22 gallons of ethanol, how many gallons of fuel A were added?
(A) 160
(B) 150
(C) 250
(D) 80
(E) 50
Rationale: Say there are A gallons of fuel A in the tank, then there would be 200-A gallons of fuel B.
The amount of ethanol in A gallons of fuel A is 0.12A;
The amount of ethanol in 200-A gallons of fuel B is 0.16(200-A);
Since the total amount of ethanol is 22 gallons then 0.12A+0.16(200-A)=22 --> A=250.
Answer: C.
Answer: (C) 250
Question: A certain team has 16 members, including Joey. A three-member relay team will be selected as follows: one of the 16 members is to be chosen at random to run first, one of the remaining 15 members is to be chosen at random to run second, and one of the remaining 14 members is to be chosen at random to run third. What is the probability that Joey will be chosen to run second or third?
(A) 1/4
(B) 2/5
(C) 1/6
(D) 2/7
(E) 1/8
Rationale: Each member has an equal probability to run second (1/16) or third (1/16).
The probability that Joey runs second or third is 1/16 + 1/16 = 1/8
The answer is E.
Answer: (E) 1/8
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 780. The number of hares in the zoo is?
(A) 190
(B) 199
(C) 77
(D) 66
(E) 221
Rationale: 200*2 = 400
780
-----
380
1----2
?----380 = 190
Answer:A
Answer: (A) 190
Question: How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
(A) 90
(B) 99
(C) 97
(D) 95
(E) 65
Rationale: 30 * 33/2 = 5/2 * 2 * x => x = 99
ANSWER B
Answer: (B) 99
Question: A boy has five trousers and 15 shirts. In how many different ways can he select a trouser and a shirt?
(A) 75 ways
(B) 87 ways
(C) 66 ways
(D) 108 ways
(E) 21 ways
Rationale: Explanation:
The boy can select one trouser in five ways.
The boy can select one shirt in 15 ways.
The number of ways in which he can select one trouser and one shirt is 5 * 15 = 75 ways.
Answer: A
Answer: (A) 75 ways
Question: Three candidates contested an election and received 1000, 2000 and 4000votes respectively. What percentage of the total votes did the winning candidate got?
(A) 30%
(B) 50%
(C) 57%
(D) 62%
(E) 75%
Rationale: Total number of votes polled = (1000 + 2000 + 4000) = 7000
Required percentage = 4000/7000 * 100 = 57% (approximately)
Answer: Option C
Answer: (C) 57%
Question: A, B, K start from the same place and travel in the same direction at speeds of 30 km/hr, 40 km/hr, 120 km/hr respectively. B starts two hours after A. If B and K overtake A at the same instant, how many hours after A did K start?
(A) 3
(B) 4
(C) 6
(D) 8
(E) 10
Rationale: In 2 hours, A travels 60 km.
B can catch A at a rate of 10 km/hr, so B catches A 6 hours after B starts.
So A and B both travel a distance of 240 km.
C needs 2 hours to travel 240 km, so C leaves 6 hours after A.
The answer is C.
Answer: (C) 6
Question: How many positive integers less than 27 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?
(A) 27
(B) 25
(C) 24
(D) 20
(E) 22
Rationale: 9 prime numbers less than 28: {2, 3, 5, 7, 11, 13, 17, 19, 23}
3 odd multiples of 5: {5, 15, 25}
11 numbers which are the sum of a positive multiple of 2 and a positive multiple of 4: {6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26}
Notice, that 5 is in two sets, thus total # of integers satisfying the given conditions is 9+3+11-1=22.
Answer: E.
Answer: (E) 22
Question: Including Cara and Dan, there are five members on the board of directors for a company. If the board is to be split up into a three-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan?
(A) 2/3
(B) 1/2
(C) 1/3
(D) 2/4
(E) 2/5
Rationale: The number of possible subcommittees with Cara is 4C2=6.
The number of possible subcommittees with Cara and Dan is 3C1=3.
The fraction of Cara's subcommittees which include Dan is 3/6=1/2.
The answer is B.
Answer: (B) 1/2
Question: There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
(A) Rs. 3932
(B) Rs. 3972
(C) Rs. 3372
(D) Rs. 3942
(E) Rs. 3772
Rationale: Explanation:
Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.
R = (100 * 60)/(100 * 6) = 10% p.a.
Now, P = Rs. 12000, T = 3 years and R = 10% p.a.
C.I. = [12000 * {(1 + 10/100)3 - 1}]
= 12000 * 331/1000 = Rs. 3972
Answer: Option C
Answer: (C) Rs. 3372
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
(A) 18%
(B) 19%
(C) 68%
(D) 19%
(E) 38%
Rationale: 1500 ---- 270
100 ---- ? => 18%
Answer:A
Answer: (A) 18%
Question: Two pipes A and B can fill a tank in 15 min and 27 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
(A) 14 min 19 sec
(B) 14 min 42 sec
(C) 18 min 24 sec
(D) 14 min 40 sec
(E) 14 min 10 sec
Rationale: :
Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15
Remaining part = 1 - 7/15 = 8/15
Part filled by B in 1 minute = 1/27
1/27 : 8/15 :: 1 ; x
x = 8/15 * 1 * 27 = 14 2/5 min = 14 min 24 sec.
The tank will be full in (4 min. + 14 min. 24 sec) = 18 min 24 sec.Answer: C
Answer: (C) 18 min 24 sec
Question: Lake A has a duck population of 30 females and 35 males. Lake B’s duck population consists of the same ratio of females to males. If 6 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?
(A) 144
(B) 105
(C) 78
(D) 51
(E) 36
Rationale: Lake A has a duck population of 30 females and 35 males --> the ratio is F:M = 30:35 = 6:7.
Lake B’s duck population consists of the same ratio of females to males --> F:M = 6:7.
C
Answer: (C) 78
Question: Which of the following numbers is between 2⁄5 and 1⁄4?
(A) .45
(B) .35
(C) .23
(D) .22
(E) .20
Rationale: Isn't it B?
2/5 = .40
1/4 = .25
The only answer between that is B, .35.
Answer: (B) .35
Question: In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 18 years is replaced by a new boy. The age of the new boy is ?
(A) 14 years 8 months
(B) 15 years
(C) 16 years 4 months years
(D) 17 years 10 months years
(E) None
Rationale: Answer
Total decrease
= ( 20 X 2 ) months
= 3 years 4 month
∴ Age of the new boy
= ( 18 years ) – ( 3 years 4 months)
= 14 years 8 month
Correct Option: A
Answer: (A) 14 years 8 months
Question: If d is the mean of x, y, and z, what is the mean x - 5, y - 5, z - 5 ?
(A) d
(B) 3d
(C) 15d
(D) d - 5
(E) d + 15
Rationale: If we add or subtract a constant to each term in a set:
Mean will increase or decrease by the same constant.
SD will not change.
If we increase or decrease each term in a set by the same percent (multiply by a constant):
Mean will increase or decrease by the same percent.
SD will increase or decrease by the same percent.
So in our case mean will decrease by 5, as we are subtracting 5 from each term in a set --> Mean =d - 5.
Answer: D.
Answer: (D) d - 5
Question: Yearly subscription to professional magazines cost a company $940.00. To Make a 30% cut in the magazine budget, how much less must be spent?
(A) 654
(B) 655
(C) 656
(D) 657
(E) 658
Rationale: total cost 940
940*30/100=282
so the cut in amount is 282
the less amount to be spend is 940-282=658
ANSWER:E
Answer: (E) 658
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
(A) 180
(B) 270
(C) 360
(D) 500
(E) 550
Rationale: 12*8 :16*9 = 18*6
8: 12: 9
9/29 * 870 = 270
ANSWER B
Answer: (B) 270
Question: what is the remainder when 45820 is divided by 45
(A) 8
(B) 15
(C) 25
(D) 10
(E) 5
Rationale: 45820 / 45
45820 / 9*5
9164 / 9 => rem = 2
we have cancelled it by 5
reqd remainder = 5*2 = 10
ANSWER:D
Answer: (D) 10
Question: Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 6 percent during the second year, and decreased by 10 percent during the third year. What is the value of the account today?
(A) $10,350
(B) $10,494
(C) $10,500
(D) $11,500
(E) $12,705
Rationale: the amount at the end of first year will become the principle for 2nd year, applying this trick and calculating we get the amount at the end of third year to be 10494. So the answer is (B).
Answer: (B) $10,494
Question: A, B and C enter into a partnership by investing Rs. 15000, Rs.21000 and Rs.27000 respectively. At the end of 8 months, B receives Rs.1260 as his share. Find the share of A.
(A) Rs. 600
(B) Rs. 1620
(C) Rs. 1080
(D) Rs. 900
(E) None of these
Rationale: Explanation:
Ratio of capital of A, B and C
= 15000 : 21000 : 27000
= 5 : 7 : 9
Let the total profit be Rs. x.
Then, B's share = Rs. 7x/21 = Rs. x/3
But x/3 = 1260
=> x = 3780
Hence, the total profit = Rs. 3780
A's share = Rs.[(5/21) × 3780] = Rs. 900
Answer: Option D
Answer: (D) Rs. 900
Question: If two pipes function simultaneously, the reservoir will be filled in 12 days.One pipe fills the reservoir 10 hours faster than the other. How many hours does it take the second pipe to fill the reservoir.
(A) 53 hours
(B) 13 hours
(C) 30 hours
(D) 43 hours
(E) 45 hours
Rationale: If two pipes function simultaneously, the reservoir will be filled in 12 hours ( not days).One pipe fills the reservoir 10 hours faster than the other. How many hours does it take the second pipe to fill the reservoir.
Then one pipe will fill tank in 20 hrs and second in 30 hrs when opened alone.
ANSWER:C
Answer: (C) 30 hours
Question: Megala bought an electric drill at 85% of the regular price.
She paid $850 for the drill. What was the regular price?
(A) $1000
(B) $1869
(C) $3869
(D) $5869
(E) $4869
Rationale: Regular price = 850/85*100 = 1000
Answer : A
Answer: (A) $1000
Question: A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:
(A) 34299
(B) 28789
(C) 15000
(D) 28999
(E) 15022
Rationale: Answer: C) Rs.15000
Answer: (C) 15000