mathewhe/aqua_rat huggingface dataset:
Question: Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
(A) 15 minutes.
(B) 17 minutes.
(C) 12 minutes.
(D) 10 minutes.
(E) 11 minutes.
Rationale: Part filled by A in 1 min =1/20
Part filled by B in 1 min =1/30	.
Part filled by (A + B) in 1 min =1/20+1/30=1/12	.
Both pipes can fill the tank in 12 minutes.
Answer is D
Answer: (D) 10 minutes.
Question: A certain company reported that the revenue on sales increased 40 % from 2000 to 2003, and increased 60 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?
(A)  50 %
(B)  40 %
(C)  14 %
(D)  32 %
(E)  29 %
Rationale: Assume the revenue in 2000 to be 100. Then in 2003 it would be 140 and and in 2005 160, so from 2003 to 2005 it increased by (160-140)/140=20/140=1/7=~14%.
Answer: C
Answer: (C)  14 %
Question: radius of a circle is 5cm , if we draw a rectangle of maximum size, what is the area of rectangle?
(A) 30
(B) 40
(C) 50
(D) 60
(E) 70
Rationale: Area of rectangle of max size inside circle will be a square with diagonal equal to 10 cms.
Then side of square = Root (100/2) = Root 50
Area of square = Root 50 * root 50 = 50 sq cms.
ANSWER:C
Answer: (C) 50
Question: If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an even number
II. P is a multiple of 17
III. P is a multiple of 24
(A) I only
(B) II only
(C) III only
(D) None of the above
(E) All of the above
Rationale: Answer = A) Ionly
Answer: (A) I only
Question: Together, Andrea and Brian weigh p pounds; Brian weighs 14 pounds more than Andrea. Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea. In terms of p, what is Cubby's weight in pounds?
(A)  p/2 - 10
(B)  3p/4 - 7
(C)  3p/2 - 5
(D)  5p/4 - 10
(E)  5p - 5
Rationale: Together, Andrea and Brian weigh p pounds --> A + B = p.
Brian weighs 10 pounds more than Andrea --> B = A + 14 --> A + (A + 14) = p --> A = (p - 14)/2 = p/2 - 7.
Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea --> C = A + p/4 = (p/2 - 7) + p/4 = 3p/4 -7.
Answer: B.
Answer: (B)  3p/4 - 7
Question: 45% of the employees of a company are men. 60% of the men in the company speak French and 40% of the employees of the company speak French. What is % of the women in the company who do not speak French?
(A) 4%
(B) 10%
(C) 76.36%
(D) 90.16%
(E) 20%
Rationale: No of employees=100(say)
Men=45
Women=55
Men speaking french=0.6*45=27
Employees speaking french=0.55*100=55
Therefore women speaking French=55-42=13
And women not speaking French=55-13=42
% of women not speaking French=42/55*100=76.36%
Answer C
Answer: (C) 76.36%
Question: How many five digit numbers can be formed using digits 0,1,2,3,4,5, Which are divisible by 10, without any of the digits repeating?
(A) 100
(B) 216
(C) 96
(D) 81
(E) 72
Rationale: 0,1,2,3,4,5
One digit will have to remain out for all 5 digit numbers;
if 0 is out; Leftover digits will be 1,2,3,4,5 = Sum(1,2,3,4,5)=15. ignore
if 1 is out; Leftover digits will be 0,2,3,4,5 = Sum(0,2,3,4,5)=14. Ignore
if 3 is out; Leftover digits will be 0,1,2,4,5 = Sum(0,1,2,4,5)=12. ignore
if 4 is out; Leftover digits will be 0,1,2,3,5 = Sum(0,1,2,3,5)=11. Ignore
if 5 is out; Leftover digits will be 0,1,2,3,4 = Sum(0,1,2,3,4)=10. =96
Total count of numbers divisible by 10 = 96 = 96
Ans:C
Answer: (C) 96
Question: x =3 1 5
y= 27 7 81 then what is the relation between x and y
(A) 3*X)^1
(B) 3*X)^2
(C) 3*X)^4
(D) 3*X)^3
(E) 3*X)^5
Rationale: Y=(3*X)^2
81=(3*3)^2
81=81
ANSWER:B
Answer: (B) 3*X)^2
Question: The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
(A) 1677
(B) 1683
(C) 2523
(D) 3363
(E) 3656
Rationale: L.C.M. of 5, 6, 7, 8 = 840.
Required number is of the form 840k + 3
Least value of k for which (840k + 3) is divisible by 9 is k = 2.
Required number = (840 x 2 + 3) = 1683.
Answer: Option B
Answer: (B) 1683
Question: On Sunday morning, Pugsley and Wednesday are trading pet spiders. If Pugsley were to give Wednesday two of his spiders, Wednesday would then have three times as many spiders as Pugsley does. But, if Wednesday were to give Pugsley one of her spiders, Pugsley would now have two fewer spiders than Wednesday had before they traded. How many pet spiders does Pugsley have before the trading game commences?
(A) 4
(B) 5
(C) 6
(D) 8
(E) 9
Rationale: If Pugsley were to give Wednesday two of his spiders, Wednesday would then have three times as many spiders as Pugsley does:
(w + 2) = 3(p - 2)
If Wednesday were to give Pugsley one of her spiders, Pugsley would now have three fewer spiders than Wednesday had before they traded:
p + 1 = w - 3
Solving gives p =6 and w = 10.
Answer: C.
Answer: (C) 6
Question: The simple interest on a certain sum of money for 2 l/2 years at 12% per year is Rs. 40 less than the simple interest on the same sum for 3 ½ years at 10% per year. Find the sum.
(A) 800
(B) 700
(C) 600
(D) 500
(E) None of them
Rationale: Let the sum be Rs. x Then, ((x*10*7)/(100*2)) – ( (x*12*5)/(100*2)) = 40
= (7x/20)-(3x/10)=40
x = (40 * 20) = 800.
Hence, the sum is Rs. 800.
Answer is A.
Answer: (A) 800
Question: In a fuel station the service costs $1.05 per car, every liter of fuel costs 0.6$. Assuming that you fill up 3 mini-vans and 2 trucks, how much money will the fuel cost to all the cars owners total, if a mini- van's tank is 65 liters and a truck's tank is 120% bigger and they are all empty-?
(A) 122.6$
(B) 128.9$
(C) 243.7$
(D) 293.85$
(E) 312.12$
Rationale: Service cost of 3 van and 2 truck = 1.05*(3+2)=5.25
Fuel in 3 Van = 3*65=195 litre
Fuel in 2 Trucks =2 * 65(1+120/100)= 286
Total fuel(Van+Truck) = 481 Litre
Total Fuel cost = 481*0.6 =288.6
TOTAL COST =FUEL+SERVICE=288.6+5.25=293.85
ANSWER IS D
Answer: (D) 293.85$
Question: Half a number plus 5 is 13.What is the number?
(A) 8
(B) 16
(C) 10
(D) 11
(E) 12
Rationale: Let x be the number. Always replace "is" with an equal sign
(1/2)x + 5 = 13
(1/2)x = 13 - 5
(1/2)x = 8
x = 16
correct answer is B
Answer: (B) 16
Question: If 9 gallons of gasoline are added to a tank that is already filled to 3/4 of its capacity, the tank is then filled to 9/10 of its capacity. How many gallons does the tank hold?
(A)  20
(B)  24
(C)  36
(D)  40
(E)  54
Rationale: Let the Capacity of the tank=C
(3/4)C + 9 = (9/10)C
=>(9/10)C - (3/4)C = 9
=>(3/20)C = 9
=>C = (9*20)/3 = 60
Number of gallons of gasoline that the tank currently holds = 3/4*C +9 = 45+9 = 54
Answer E
Answer: (E)  54
Question: What will be the fraction of 30%
(A) 1/4
(B) 1/5
(C) 3/10
(D) 1/11
(E) None of above
Rationale: Explanation:
It will 30*1/100 = 3/10
Option C
Answer: (C) 3/10
Question: Robert left from a Pvt Company. Management hold his salary Rs. 15000/- for one month. Earlier Robert earned a performance incentive Rs. 7280/- from company. But Robert forgot that. After one month Robert asked his salary and accountant gives Rs.18500/- to him. What is the bonus amount given to Robert?
(A) A)9500
(B) B)12500
(C) C)10780
(D) D)10500
(E) E)8600
Rationale: Total Salary = Rs.15000/-
Incentive earned earlier = 7280/-
Balance Salary = 15000-7280= 7720
Paid amount = 18500/-
Bonus = 18500-7720 = 10780/-
Answer is C
Answer: (C) C)10780
Question: Souju's age is 118% of what it was 10 years ago, but 86 2/3% of what it will be after 10 years. What is her present age?
(A) 56 years
(B) 65 years
(C) 60 years
(D) 66 years
(E) 75 years
Rationale: Let the age before 10 years =x. Then,
118x/100=x+10
â‡’118x=100x+1000
â‡’x=1000/18=55
Present age =x+10=55+10=65
ANSWER:B
Answer: (B) 65 years
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
(A) 227
(B) 269
(C) 270
(D) 277
(E) 112
Rationale: Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the train be x meters.
Then, (x + 250)/26 = 20
x = 270 m. Answer:D
Answer: (D) 277
Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
(A) 5
(B) 4
(C) 3
(D) 6
(E) 8
Rationale: Part filled by A + B + C in 1 hour = 1/5 + 1/10 + 1/30 = 1/3
All the three pipes together will fill the tank in 3 hours.
Answer:C
Answer: (C) 3
Question: A cashier mentally reversed the digits of one customer's correct amount of change and thus gave the customer an incorrect amount of change. If the cash register contained 18 cents more than it should have as a result of this error, which of the following could have been the correct amount of change in cents?
(A) 14
(B) 45
(C) 54
(D) 65
(E) 42
Rationale: Just check the answers and reverse the numbers until you get 18.
42 - 24 = 18
Answer E
Answer: (E) 42
Question: If 0 < a < b and k = (2a + 3b)/b , which of the following must be true?
(A) k < 2
(B) k < 5
(C) k < 9
(D) k > 9
(E) k > 11
Rationale: Here's another approach:
k = (2a + 3b)/b
= 2a/b + 3b/b
= 2(a/b) + 3
Since 0 < a < b, we know that a/b is less than 1, which means that 2(a/b) is some number less than 2.
So, we get k = (some number less than 2) + 3
From here, we can see that k must be less than 5
Answer:B
Answer: (B) k < 5
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
(A) 8
(B) 9
(C) 7
(D) 6
(E) 4
Rationale: 80% --- 12
120% --- ?
80/120 * 12 = 8
Answer: A
Answer: (A) 8
Question: Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
(A) Rs.460
(B) Rs.5640
(C) Rs.5460
(D) Rs.5604
(E) Rs.5704
Rationale: 5000 * 104/100 * 105/100 => 5460
ANSWER:C
Answer: (C) Rs.5460
Question: Let each different arrangement of all the letters of DELETED be called a word. In how many of these words will the D's be separated?
(A) 150
(B) 200
(C) 300
(D) 350
(E) 400
Rationale: here are 7 letters in the word "DELETED", out of which: D=2, E=3, L=1, T=1.
Total # of permutations is 7!/2!3!=420
# of permutations with D's together is 6!3!=120. Consider 2 D's as one unit: {DD}{E}{E}{E}{L}{T} - total 6 units, out of which {DD}=1, {E}=3, {L}=1, {T}=1.
# of permutations with D's not come together is: 7/2!3!−6!3!=300
ANSWER:C
Answer: (C) 300
Question: In a two-digit number, if unit digit exceeds its ten's digit by 2 and the product of the given number and the sum of its digits is equal to 144, then what is the number?
(A) 21
(B) 22
(C) 23
(D) 24
(E) 25
Rationale: Let the 10's digit be x.Then the units digit will be x+2.
the number is 11x+2.
The sum of the digits will be 2x+2
(11x+2)(2x+2)=144
Solving the quadratic eqn we get x=2;so the number is 24.
ANSWER:D
Answer: (D) 24
Question: 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?
(A) 65 cm2
(B) 30 cm2
(C) 16 cm2
(D) 17 cm2
(E) 15 cm2
Rationale: 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 = 30 cm2
Answer: B
Answer: (B) 30 cm2
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
(A) 10.2
(B) 10.5
(C) 10.9
(D) 10.8
(E) 10.1
Rationale: Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 140 + 160 = 300 m.
Required time = 300 * 9/250 = 54/5 = 10.8 sec.Answer: D
Answer: (D) 10.8
Question: The average of 10 members is 15665. If 2 members have 20000 then what is the average of remaining?
(A) 12581.25
(B) 13581.25
(C) 14581.25
(D) 15581.25
(E) 16581.25
Rationale: 20000*2+8*x=15665*10
8x=156650-40000
x=116650/8
x=14581.25
ANSWER:C
Answer: (C) 14581.25
Question: How many 5 digit numbers can be formed by using 0,2,4,6,8 which is divisible by 8? (for a no. to be divisible by 8, last three digits of the number should be divisible by 8)
(A) 30
(B) 28
(C) 26
(D) 32
(E) 34
Rationale: 1st place can be filled in 4 no of ways (except 0)
2nd place can be filled in 3 no of ways
last 3 places can be filled in 18 no of ways
total 4*3+18=30
ANSWER:A
Answer: (A) 30
Question: A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 5 days. If it was set right on Friday at 11 AM, what will be the time at the end of 10 days?
(A) 11:54:40 AM
(B) 11:56:24 AM
(C) 11:40:00 AM
(D) 11:54:24 AM
(E) 12:06:36 PM
Rationale: Clock loses: 1 minute in 3 hours = 8 minutes in 24 hours = 32 minutes in 4 days.
Clock gains: 1% in the subsequent 5 days = 1% in 5*24*60 minutes = 72. minute in 5 days;
Net gain in 9 days = 72 - 32 = 40 minutes.
11AM + 40 minutes = 11:40
Answer: C.
Answer: (C) 11:40:00 AM
Question: √{(2.4)(10^9)} is closest to which of the following?
(A) 35,000
(B) 50,000
(C) 75,000
(D) 90,000
(E) 120,000
Rationale: √{(2.4)(10^9)} = √{(24)(10^8)} = √(24)√(10^8) = (√24) * 10,000 which is almost 50,000.
The answer is B.
Answer: (B) 50,000
Question: From 6 positive numbers and 6 negative numbers, how many groups R of 4 numbers, yielding a positive product, can be formed?
(A) 720
(B) 625
(C) 30
(D) 960
(E) 255
Rationale: Potential combinations of 4 numbers that will yield positive product
++++ 4C6
---- 4C6
++-- 2C6*2C6
4C6 + 4C6 + 2C6*2C6
R=15 +15 + 15*15 = 255=E
Answer: (E) 255
Question: Claire can paint the living room in 7 hours and Barry can paint the living room in 5 hours. How many hours will it take for both of them working together to paint the living room?
(A) 2
(B) 2 11/12
(C) 3 5/11
(D) 4 1/2
(E) 5
Rationale: Work hrs=AB/(A+B)= 35/12 =2 11/12
Answer is B
Answer: (B) 2 11/12
Question: A man can hit a target once in 4 shots. If he fires 4shots in succession, how many ways that he will hit his target?
(A) 71/234
(B) 81/133
(C) 81/343
(D) 81/256
(E) 91/324
Rationale: The man will hit the target if he hits it once or twice or thrice or all four times in the four shots that he takes.
So, the only possibility when the man will not hit the target is when he fails to hit the target in even one of the four shots that he takes.
The event of not hitting the target even once is the complement of the event of hitting the target at least once.
The probability that he will not hit the target in any given shot = 1 - 1414 = 3434
Therefore, the probability that he will not hit the target in any of the four shots = 3434 * 3434 * 3434 * 3434 = 81/256
D
Answer: (D) 81/256
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 50, the dividend is:
(A) 5336
(B) 5340
(C) 5342
(D) 5345
(E) 6300
Rationale: Divisor = (5 * 50) = 250
= 10 * Quotient = Divisor
=> Quotient = 250/10 = 25
Dividend = (Divisor * Quotient) + Remainder
Dividend = (250 * 25) + 50 = 6300.
E
Answer: (E) 6300
Question: Two persons start running simultaneously around a circular track of length 600 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?
(A) 11
(B) 54
(C) 28
(D) 27
(E) 12
Rationale: Time taken to meet for the first time anywhere on the track
= length of the track / relative speed
= 600 / (15 + 25)5/18 = 600* 18 / 40 * 5 = 54 seconds.
Answer: B
Answer: (B) 54
Question: If x and y are integers and xy = 330, x or y must be divisible by which of the following?
(A) 4
(B) 6
(C) 11
(D) 20
(E) 30
Rationale: xy = 330 = 2 * 3 * 5 * 11
One of x or y must be divisible by 11.
The answer is C.
Answer: (C) 11
Question: The area of a triangle will be when a = 3m, b = 4m, c = 5m, a, b, c being lengths of respective sides?
(A) 3
(B) 6
(C) 4
(D) 9
(E) 1
Rationale: S = (3 + 4 + 5)/2= 6 Answer:B
Answer: (B) 6
Question: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?
(A) 5/11
(B) 6/11
(C) 7/11
(D) 8/11
(E) 9/11
Rationale: Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20
Part filled by C in 3 minutes = 3/10
Required ratio = 3/10 * 20/11 = 6/11
ANSWER:B
Answer: (B) 6/11
Question: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 2 years ago?
(A)  8
(B)  10
(C)  12
(D)  14
(E)  16
Rationale: Let's say
Age of Richard isR
Age of David isD
Age of Scott isS
Now
Richard is 6 years older than David,
i.e. R = D +6
David is 8 years older than Scott
i.e. D = S +8
If in 8 years, Richard will be twice as old as Scott
i.e. R+8 = 2x(S+8)
i.e. R+8 = 2S + 16
i.e. R = 2S+8
But R = D+6 = (S+8)+6 = S+14
therefore, 2S + 8 = S +14
i.e. S = 6
i.e. R = 20
i.e. D = 14
Now,
how old was David 2 years ago?
i.e. D-2 = 14-2 = 12 years
Answer: Option
C
Answer: (C)  12
Question: Look carefully for the pattern, and then choose which pair of numbers comes next.
28 25 5 21 18 5 14
(A) 11 5
(B) 10 7
(C) 11 8
(D) 5 10
(E) 10 5
Rationale: Explanation: This is an alternating subtraction series with the interpolation of a random number, 5, as every third number. In the subtraction series, 3 is subtracted, then 4, then 3, and so on.
Answer: Option A
Answer: (A) 11 5
Question: A fruit drink is made of orange, watermelon, and grape juice, where 25 percent of the drink is orange juice and 40 percent is watermelon juice. If the drink is made with 105 ounces of grape juice, how many ounces is the drink total?
(A) 220
(B) 250
(C) 280
(D) 300
(E) 340
Rationale: Let the total number of ounces in the drink be x.
% of orange = 25%
% of watermelon = 40%
% of grape = 100% - 65% = 35%
0.35x = 105
x = 300
Therefore there are a total of 300 ounces in the drink.
The answer is D.
Answer: (D) 300
Question: In an election, candidate A got 75% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate.
(A) 330000
(B) 340000
(C) 347000
(D) 356000
(E) 357000
Rationale: Total number of invalid votes = 15 % of 560000
= 15/100 × 560000
= 8400000/100
= 84000
Total number of valid votes 560000 – 84000 = 476000
Percentage of votes polled in favour of candidate A = 75 %
Therefore, the number of valid votes polled in favour of candidate A = 75 % of 476000
= 75/100 × 476000
= 35700000/100
= 357000
E)
Answer: (E) 357000
Question: A sum of money triples itself in twelve years at simple interest. Find the rate of interest?
(A) 16 2/7 %
(B) 16 8/3 %
(C) 17 2/3 %
(D) 11 2/3 %
(E) 16 2/3 %
Rationale: Let the pricipal be Rs. x, then amount = 3x(where R = rate of interest) => Interest = 3x - x = Rs. 2x
R = (100 * 2x)/(x * 12) = 50/3 % = 16 2/3 %.Answer: E
Answer: (E) 16 2/3 %
Question: In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
(A) 720
(B) 850
(C) 200
(D) 365
(E) 750
Rationale: The word 'LEADING' has 7 different letters.
When the vowels EAI are always together, they can be supposed to form one letter.
Then, we have to arrange the letters LNDG (EAI).
Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.
The vowels (EAI) can be arranged among themselves in 3! = 6 ways.
Required number of ways = (120 x 6) = 720.
ANSWER A
Answer: (A) 720
Question: Five years ago the average of the ages of A and B was 20 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?
(A) 45 years
(B) 55 years
(C) 57 years
(D) we cannot determined
(E) None of these
Rationale: Let the present ages of A, B and C be a, b and c respectively.
Given, [(a - 5) + (b - 5)] / 2 = 20 => a + b = 50 --- (1)
(b + c)/2 = 48 => b + c = 96 --- (2)
From (1) and (2), we cannot find b.
ANSWER:D
Answer: (D) we cannot determined
Question: If a boat is moving in upstream with velocity of 14 km/hr and goes downstream with a velocity of 40
km/hr, then what is the speed of the stream ?
(A) 13
(B) 44
(C) 55
(D) 6
(E) 77
Rationale: 13 km/hr
Answer:A
Answer: (A) 13
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
(A) 299
(B) 217
(C) 698
(D) 277
(E) 161
Rationale: S.I. for 1 year = (854 - 815) = Rs. 39
S.I. for 3 years = 39 * 3 = Rs. 117
Principal = (815 - 117) = Rs. 698.Answer:C
Answer: (C) 698
Question: Evaluate: 1182 - 12*3*2 =?
(A) 674
(B) 574
(C) 174
(D) 274
(E) 374
Rationale: According to order of operations, 12?3?2 (division and multiplication) is done first from left to right
12**2 = 4* 2 = 8
Hence
1182 - 12*3*2 = 1182 - 8 = 174
correct answer C
Answer: (C) 174
Question: 10 camels cost as much as 24 horses, 26 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.170000, find the cost of a camel?
(A) Rs.6184.5
(B) Rs.4184.5
(C) Rs.5700
(D) Rs.4284.5
(E) Rs.5184.5
Rationale: Cost of the camel = P
10 camels = 24 horses
26 horses = 4 oxen
6 oxen = 4 elephants
10 elephants = Rs.170000
P = Rs.[(24 * 4 * 4 * 170000)/(10 * 26 * 6 * 10)]
P = Rs.(65280000/15600) => P = Rs.4184.5
ANSWER:B
Answer: (B) Rs.4184.5
Question: A driver would have reduced the time it took to drive from home to the store by 1/4 if the average speed had been increased by 12 miles per hour. What was the actual average speed, in miles per hour, when the driver drove from home to the store?
(A) 24
(B) 28
(C) 32
(D) 36
(E) 40
Rationale: Since the distance remains the same (we're just changing the rate and time), any increase in rate or time is met with a decrease in the other term. Decreasing the time by 1/4 would give us:
D = (R)(T) = (3T/4)(x*R)
x = 4/3 since (3T/4)(4R/3) = (R)(T) = D
4R/3 = R + 12
R/3 = 12
R= 36
The answer is D.
Answer: (D) 36
Question: A man has Rs. 544 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 ?
(A) 80
(B) 90
(C) 95
(D) 98
(E) 102
Rationale: Let number of notes of each denomination be x.
Then x + 5x + 10x = 544
16x = 544
x = 34.
Hence, total number of notes = 3x = 102
E
Answer: (E) 102
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
(A) 27 7/8
(B) 27 7/6
(C) 27 7/4
(D) 27 7by9
(E) 27 7/1
Rationale: Relative speed = (40 - 20) = 20 km/hr.
= 20 * 5/ 18 = 50/9 m/sec.
Length of faster train = 50/9 * 5 = 250/9 = 27 7/9 m.
Answer: D
Answer: (D) 27 7by9
Question: 20 throws of a die produces following results
SCORE -- NUMBER OF OCCURRENCES
---1-------------------4
---2-------------------3
---3-------------------5
---4-------------------2
---5-------------------2
---6-------------------4
What is the probability M that one more throw to this series will increase the mean score?
(A) 1/6
(B) 1/3
(C) 1/2
(D) 2/3
(E) 5/6
Rationale: I get the mean as 67/20 --> 3.35. Thus in order to raise this mean we would need a 4,5,or 6.
Thus probability Mis 1/2.C
Answer: (C) 1/2
Question: The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?
(A) 75 kg
(B) 65 kg
(C) 55 kg
(D) 85 kg
(E) 25 kg
Rationale: Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (65 + 20) kg = 85 kg.
Answer: D
Answer: (D) 85 kg
Question: A restaurant meal cost $30.5 and there was no tax. If the tip was more than 20 percent but less than 30 percent of the cost of the meal, then the total amount paid must have been between
(A) $40 and $42
(B) $39 and $41
(C) $38 and $40
(D) $37 and $39
(E) $36 and $39
Rationale: The total amount for the meal was between 30.5*1.2=36.6 and 30.5*1.3=~39.65. Only option which covers all possible values of the meal is D.
Answer: D.
Answer: (D) $37 and $39