mathewhe/aqua_rat huggingface dataset:
Question: Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 12 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
(A) 13
(B) 17
(C) 18
(D) 19
(E) 12
Rationale: Let the leak can empty the full tank in x hours 1/6 - 1/x = 1/12
=> 1/x = 1/6 - 1/12 = (2 - 1)/12 = 1/12
=> x = 12.
Answer: E
Answer: (E) 12
Question: The difference between the local value and the face value of 8 in the numeral 96348621 is
(A) 6992
(B) 6982
(C) 7982
(D) 7972
(E) 7992
Rationale: Explanation:
(Local value of 8) - (Face value of 8) = (8000 - 8) = 7992
E)
Answer: (E) 7992
Question: A person earns 15% on investment but loses 10% on another investment. If the ratio of the two investments be 3:5, what is the gain or loss on the two investments taken together?
(A) 0.63 %
(B) 0.64 %
(C) 0.65 %
(D) 0.66 %
(E) None
Rationale: Sol.
Suppose he invested 300 & 500 respectively profit : 15% of 300 = 45 loss =
500 *10 = 50 net loss = - 5 5/800 *100 = 0.63 %
Answer A
Answer: (A) 0.63 %
Question: A room is 10 meters long, 8 meters wide 6 meters in height. The longest possible rod which can be placed in the room is
(A) 13.12 meters
(B) 13.92 meters
(C) 13.52 meters
(D) 13.72 meters
(E) 14.14 meters
Rationale: Square root of 10^2+8^2+6^2...(Diognal) which is square root of 200 that lies 14<√200<15. Hence the answer should be E
Answer: (E) 14.14 meters
Question: 8103/x is a non-terminating decimal. Which of the following could be a value of x?
(A) 2
(B) 5
(C) 9
(D) 12
(E) 15
Rationale: Then:
c. 9=3*3
d. 12=3*2*2
e. 15=3*5
The sum of digits in 8103 is 12, it means that 8103 is divisible by 3 (i.e. 3 is one of the factors of 8103), which will eliminate one "3" from x, leaving us with only 2's or 5's in options d. and e. Only c is left.
ANSWER:C
Answer: (C) 9
Question: On a sum of money, the simple interest for 2 years is Rs. 320, while the compound interest is Rs. 340, the rate of interest being the same in both the cases. The rate of interest is
(A) 15%
(B) 14.25%
(C) 12.5%
(D) 10.5%
(E) 11.5%
Rationale: Explanation:
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Solution 1
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Simple interest for 2 years is Rs. 320
=> Simple interest for first year = 320/2 = 160
=> Similarly, simple interest for second year is also 160
Compound Interest for first year = 160
Compound Interest for second year = 340-160 = 180
we can see that compound Interest for second year is more than
simple interest for second year by 180-160 = 20
i.e., Rs.20 is the simple interest on Rs.160 for 1 year
R = 100 × SI/PT = (100 × 20)/(160 × 1) = 12.5%
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Solution 2
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The difference between compound interest and simple interest on Rs. P for 2 years at R% per annum
= (R × SI)/(2 × 100)
Difference between the compound interest and simple interest = 340 - 320 = 20
(R × SI)/(2 × 100) = 20
(R × 320)/(2 × 100) = 20
R = 20 × 100 × 2320 = 12.5%
Answer: Option C
Answer: (C) 12.5%
Question: A train 600 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
(A) 298 m
(B) 279 m
(C) 500 m
(D) 289 m
(E) 700 m
Rationale: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (600 + x)/60 = 65/3
x = 700 m.
Answer: E
Answer: (E) 700 m
Question: At the wholesale store you can buy an 8-pack of hot dogs for $1.65, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $250?
(A)  1,108
(B)  2,100
(C)  2,108
(D)  2,124
(E)  2,628
Rationale: To maximize number of hot dogs with 250$
Total number of hot dogs bought in 250-pack = 22.95*10 =229.5$
Amount remaining = 250 - 229.5 = 20.5$
Total number of hot dogs bought in 20-pack = 3.05*6 =18.3$
Amount remaining = 20.5 - 18.3 = 2.2$
Total number of hot dogs bought in 8-pack = 1.55*1 =1.55$
Amount remaining = 2.2 - 1.65 = 0.55$
This amount is too less to buy any 8- pack .
Greatest number of hot dogs one can buy with 250 $ = 250*10+20*6+8*1 = 2628
Answer E
Answer: (E)  2,628
Question: What will be the compound interest on a sum of Rs. 27,000 after 3 years at the rate of 12% p.a.?
(A) s.10123.77
(B) s.10123.21
(C) s.10933.05
(D) s.10123.28
(E) s.10123.21
Rationale: Amount = [27000 * (1 + 12/100)3]
= 27000 * 28/25 * 28/25 * 28/25
= Rs. 37933.0
C.I. = (37933.056 - 27000)
= Rs. 10933.05
Answer:C
Answer: (C) s.10933.05
Question: In an encryption code 'PLAYS' is written as '{:SUD' when encoded and 'SLEEP' is written as 'D:RR{' when encoded. How is ''SLAPPY" written in that encryption code?
(A) D:S{{U
(B) SLAPPY
(C) {RUDD:
(D) {:SUU{
(E) U{{S:D
Rationale: D = S
: = L
S = A
P = {
P = {
Y = U
Correct Answer: A
Answer: (A) D:S{{U
Question: The average of 10 consecutive integers is 25. Then, 9 is deducted from the first consecutive number, 8 is deducted from the second, 7 is deducted form the third, and so on until the last number which remains unchanged. What is the new average?
(A) 19
(B) 19.5
(C) 20
(D) 20.5
(E) 21
Rationale: The total subtracted is (9+8+...+1) = (9*10) / 2 = 45
On average, each number will be reduced by 45/10 = 4.5
Therefore, the overall average will be reduced by 4.5
The answer is D.
Answer: (D) 20.5
Question: Amber works 8 days a month at d dollars per day for m months out of the year. Which of the following represents her monthly pay?
(A) 8d
(B) 20d
(C) 10md/6
(D) 20d/m
(E) 20md
Rationale: ANSWER: A The passage states that she works 8 days a month at d dollars per day, so 8 d is her monthly pay
Answer: (A) 8d
Question: Jimâ€™s Taxi Service charges an initial fee of $2.25 at the beginning of a trip and an additional charge of $0.3 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
(A) $3.15
(B) $4.95
(C) $4.80
(D) $5.05
(E) $5.40
Rationale: Let the fixed charge of Jimâ€™s Taxi Service = 2.25 $
and charge per 2/5 mile(.4 mile) = .3$
Total charge for a trip of 3.6 miles = 2.25 + (3.6/.4) * .3
= 2.25 + 9*.3
= 4.95 $
Answer B
Answer: (B) $4.95
Question: Mahesh can do a piece of work in 35days. He works at it for 20days and then Rajesh finished it in 30days. How long will Y take to complete the work?
(A) 45
(B) 25
(C) 37
(D) 41
(E) 70
Rationale: Work done by Mahesh in 35days = 20*1/35 = 4/7
Remaining work = 1 - 4/7 = 3/7
3/7 work is done by Rajesh in 30days
Whole work will be done by Rajesh is 30*7/3 = 70days
Answer is E
Answer: (E) 70
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
(A) 50
(B) 88
(C) 77
(D) 66
(E) 55
Rationale: Let the length of each train be x m.
Then, distance covered = 2x m.
Relative speed = 46 - 36 = 10 km/hr.
= 10 * 5/18 = 25/9 m/sec.
2x/36 = 25/9 => x = 50.
Answer: A
Answer: (A) 50
Question: The speed of the train, 150m long, is 50km/hr. How much time will it take to pass a platform 600m long?
(A) 74 secs.
(B) 64 secs.
(C) 54 secs.
(D) 44 secs.
(E) 34 secs.
Rationale: Distance covered = ( 150+600)= 750 m Speed =50km/hr=(50*5/18)=125/9m/s Time taken =750/125*9 =54 secs. Answer : C
Answer: (C) 54 secs.
Question: $392 is divided among A, B, and C so that A receives half as much as B, and B receives half as much as C. How much money is C's share?
(A) $212
(B) $216
(C) $220
(D) $224
(E) $228
Rationale: Let the shares for A, B, and C be x, 2x, and 4x respectively.
7x = 392
x = 56
4x = 224
The answer is D.
Answer: (D) $224
Question: If it takes 6 identical printing presses exactly 4 hours T to print 5,000 newspapers, how long would it take 3 of these presses to print 3,000 newspapers?
(A) 3 hours, 20 minutes
(B) 4 hours, 20 minutes
(C) 4 hours, 48 minutes
(D) 5 hours, 48 minutes
(E) 6 hours, 50 minutes
Rationale: 6 presses - 5,000 newspapers - 4 hours ;
3 presses - 2,500 newspapers - 4 hours ;
3 presses - 3,000 newspapers - 4 hours + 1/5*4 hours = 4 hours, 48 minutes (since 2,500+1/5*2,500=3,000) = T.
Answer: C.
Answer: (C) 4 hours, 48 minutes
Question: The water level in a rectangular swimming pool measuring 50 feet by 25 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)
(A) 100
(B) 250
(C) 750
(D) 1200
(E) 4687.5
Rationale: 6 inches = 1/2 feet (there are 12 inches in a foot.), so 50*25*1/2=625 feet^3 of water must be removed, which equals to 625*7.5=4687.5 gallons.
Answer: E.
Answer: (E) 4687.5
Question: A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
(A) 39:40
(B) 40:39
(C) 3:4
(D) 4:3
(E) 1:2
Rationale: 3: 4
A = 3/7*210 = 90
390: 400
39:40
ANSWER:A
Answer: (A) 39:40
Question: How much water should be added to 11 liters of a 20%-solution of alcohol to reduce the concentration of alcohol in the solution by 75% ?
(A) 25 liters
(B) 29 liters
(C) 30 liters
(D) 32 liters
(E) 35 liters
Rationale: Let x ltr water to be added
2ltr alcohol to be represented as (20(1-3/4(new soln.=11+x)))
2=5%*(11+x)-------->x=29
Ans B
Answer: (B) 29 liters
Question: A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $7.50. If the company’s latest order required a truck with at least 240,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
(A) $960
(B) $1,875
(C) $1,725
(D) $2,050
(E) $2,250
Rationale: Number of boxes= Total volume/volume of one box= 240,000/ (8*10*12)= 250
One box costs 7.50, so 250 box will cost= 250*7.5= 1875
B is the answer
Answer: (B) $1,875
Question: The 80-milliliter solution of sugar and water is 25% sugar. How much water (in milliliters) must be added to make a solution that is 5% sugar?
(A) 300
(B) 320
(C) 340
(D) 360
(E) 380
Rationale: In the original solution the amount of sugar is 0.25*80=20 ml.
Let the volume of the new solution be V.
0.05V=20 ml.
V=400 ml.
The amount of water we need to add is 400 - 80 = 320 ml.
The answer is B.
Answer: (B) 320
Question: Consider a right triangle RBC with length of sides being x,y and z where y represents the hypotenuse , Which of these represent the radius of the circle which is inscribed in triangle RBC
(A) [A] x+y+z/3
(B) [B] x-y+z/3
(C) [C] x-y+z/2
(D) [D] (x^2 + y^2 + z^2)/3
(E) [E] cannot be determined
Rationale: Radius of a circle inscribed in the right triangle RBC r = (x + z - y)/2 where y is the hypotenuse and x and y are other two sides.
Answer: C
Answer: (C) [C] x-y+z/2
Question: How many words of 11letters could be Formed with all the vowels present only in the even places ,and the consonants only in the odd places,using letters of english alphabet each letter may appear only once.
(A) 21!
(B) 26!/5!
(C) 21! /(5! * 5! )
(D) 21!* 5!/15!
(E) 21!* 6!/5!
Rationale: (21*20*19*18*17*16)*5! = 21! * 5! / 15!
ANSWER:C
Answer: (C) 21! /(5! * 5! )
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 14,260, Deepak's share is:?
(A) s.8467
(B) s.8428
(C) s.8400
(D) s.8429
(E) s.8680
Rationale: Ratio of their shares
= 22500 : 35000
= 9:14
Deepak's share
= 14260 * 14/23
= Rs.8680.
Answer:E
Answer: (E) s.8680
Question: If 9a - b = 10b + 60 = -12b - 2a, what is the value of 11a + 11b?
(A) -8
(B) -4
(C) 0
(D) 4
(E) 8
Rationale: (i) 9a - 11b = 60
(ii) 2a + 22b = -60
Adding (i) and (ii):
11a + 11b = 0
The answer is C.
Answer: (C) 0
Question: A survey was sent to 65 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
(A) 2%
(B) 4%
(C) 14%
(D) 28%
(E) 63%
Rationale: case 1: (7/65)=x/100
x=10%
case 2: (9/63)=y/100
y=14%
So percent increase is =(y-x)=(14-10)%=4%
Answer is B
Answer: (B) 4%
Question: What least value should be replaced by * in 842*124 so the number become divisible by 9
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: Explanation:
Trick: Number is divisible by 9, if sum of all digits is divisible by 9, so (8+4+2+*+1+2+4) = 21+* should be divisible by 9,
21+6 will be divisible by 9,
so that least number is 6.
Answer: Option D
Answer: (D) 6
Question: What is the CP of Rs 100 stock at 4 discount, with 1/5% brokerage?
(A) 99.6
(B) 96.2
(C) 97.5
(D) 98.25
(E) None of these
Rationale: Explanation:
Use the formula,
CP= 100 – discount + brokerage%
CP= 100-4+1/5
96.2
Thus the CP is Rs 96.2.
ANSWER B
Answer: (B) 96.2
Question: If 8 men or 12 women can do a piece of work in 35 days, in how many days can the same work be done by 6 men and 11 women?
(A) 10 days
(B) 11 days
(C) 13 days
(D) 15 days
(E) 21 days
Rationale: 8men = 12women (i.e 2men = 3women)
12women 1 day work= 1/35
soln:
6men(9women)+ 11women=20women=?
1 women 1 day work =12*35= 1/420
so, 20 women work= 20/420=1/21
ans: 21 days
ANSWER:E
Answer: (E) 21 days
Question: P and Q are in a relay race. P runs the first leg of the course in 3 seconds. Q runs the second leg of the course in 57 seconds. What was the average time they took to run a leg of the course?
(A) 30
(B) 32
(C) 34
(D) 36
(E) 38
Rationale: (3 seconds +57 seconds)/2= 30 seconds
Correct option is: A
Answer: (A) 30
Question: Exactly 3/8 of the people in the room are under the age of 21, and exactly 5/12 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
(A) 21
(B) 36
(C) 39
(D) 60
(E) 65
Rationale: The total number of the people in the room must be a multiple of both 8 and 12 (in order 3/7 and 5/13 of the number to be an integer), thus the total number of the people must be a multiple of LCM of 8 and 12, which is 96.
Since, the total number of the people in the room is greater than 50 and less than 100, then there are 96 people in the room.
Therefore there are 3/8*96=36 people in the room under the age of 21.
Answer: B.
Answer: (B) 36
Question: What is the sum of the multiples of 4 between 38 and 127 inclusive?
(A) 1804
(B) 1816
(C) 1824
(D) 1828
(E) 1832
Rationale: the fastest way in an AP is to find the average and multiply with total integers..
between 38 and 127, the smallest multiple of 4 is 40 and largest =124..
average=(40+124)/2=164/2=82..
total numbers = (124-40)/4 + 1= =84/4+1=27+1=22..
sum=82*22=1804
ans A
Answer: (A) 1804
Question: A fort had provision of food for 150 men for 45 days. After 10 days, 30 men left the fort. The number of days for which the remaining food will last, is:
(A) 29 1/5
(B) 37 1/4
(C) 43 3/4
(D) 54
(E) 48
Rationale: After 10 days : 150 men had food for 35 days.
Suppose 120 men had food for x days.
Now, Less men, More days (Indirect Proportion)
Therefore 120 : 150 :: 35 : x <=> 120 x x = 150 x 35
=> x =150 x 35/120
=> x = 43 3/4.
Correct answer is C
Answer: (C) 43 3/4
Question: A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
(A) 2 mins 14 sec
(B) 2 mins 34 sec
(C) 180 sec
(D) 4 mins 54 sec
(E) 2 mins 44 sec
Rationale: D = 25 * 60 + 1500 = 3000 m
T = 3000/60 * 18/5 = 180 sec
ANSWER:C
Answer: (C) 180 sec
Question: If 4 men can paint 60 m long wall in 3 days, then 5 men can paint 50 m long wall in
(A) 3days
(B) 2days
(C) 5days
(D) 6days
(E) 1day
Rationale: The length of wall painted by one man in one day = 60 / 4 Ã— 3 = 5 m
No. of days required to paint 50 m wall by 5 men = 50/ 5 Ã— 5 = 2 day.
B
Answer: (B) 2days
Question: if a tap could fill entire tank in 18 hrs due to leakage, then in how much time tank can be emptied by leakage if tap can fill entire tank in 12 hrs without leakage?
(A) 35 hrs
(B) 36 hrs
(C) 37 hrs
(D) 38 hrs
(E) 39 hrs
Rationale: if a tap could fill entire tank in 18 hrs due to leakage,
tap can fill entire tank in 12 hrs without leakage.
Tank emptied in 0ne hr by leakage = 1/12-1/18= (6-4)/72=2/72=1/36.
Full Tank can be emptied in 36 hrs.
ANSWER:B
Answer: (B) 36 hrs
Question: Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
(A) 10
(B) 12
(C) 15
(D) 18
(E) 20
Rationale: Speed of the first train =120/10m/sec = 12 m/sec.
Speed of the second train =120/15m/sec = 8 m/sec.
Relative speed = (12 + 8) = 20 m/sec.
Required time =(120 + 120)/20sec = 12 sec. ANSWER:B
Answer: (B) 12
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 300 m long?
(A) 176 Sec
(B) 190 Sec
(C) 178 Sec
(D) 150 Sec
(E) 276 Sec
Rationale: L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 1500 m
T = D/S
T = 1500/10
T = 150 Sec
Answer:D
Answer: (D) 150 Sec
Question: Find the L.C.M of 12, 25, 24 and 20.
(A) 240
(B) 600
(C) 320
(D) 150
(E) 250
Rationale: Explanation:
6 x 2 x 2 x 5 x 5 = 600
Answer: Option B
Answer: (B) 600
Question: There are 6 red balls,8 blue balls and 7 green balls in a bag. If 5 are drawn with replacement, what is the probability at least three are red?
(A) 312/16808
(B) 312/16807
(C) 312/16805
(D) 312/16838
(E) 312/16111
Rationale: At least 3 reds means we get either : 3 red or 4 red or 5 red. And this is a case of replacement.
case 1 : 3 red balls : 6/21 x 6/21 x 6/21 x 15/21 x 15/21
case 2 : 4 red balls : 6/21 x 6/21 x 6/21 x 6/21 x 15/21
case 3 : 5 red balls : 6/21 x 6/21 x 6/21 x 6/21 x 6/21
Total probability = = (6/21 x 6/21 x 6/21 x 15/21 x 15/21)+(6/21 x 6/21 x 6/21 x 6/21 x (15 )/21)+ (6/21 x 6/21 x 6/21 x 6/21 x 6/21)
= 312/16807
Answer:B
Answer: (B) 312/16807
Question: For her customer feedback score, Jess wants to average at or above an 8.0 rating. For the month of June, she received the following scores: 7, 6, 8, 7, 9, 10, 6, 6, 8 and 7. By what percent did she fall short of her goal?
(A)  4%
(B)  5%
(C)  8%
(D)  10%
(E)  2.5%
Rationale: Expected minimum rating = 8
Deviation from the expected minimum rating = (-1 - 2 + 0 - 1 + 1 + 2 - 2 - 2 + 0 - 1)/10 = -2/10 = -0.2
Current rating is 0.2 less than 8.
Percentage = (0.2/8)*100 = 2.5%
Answer: E
Answer: (E)  2.5%
Question: Contractor is engaged for 30days on the condition that he receives Rs.25 for eachday he works &isfined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was heabsent?
(A) 5
(B) 10
(C) 15
(D) 16
(E) 19
Rationale: 30 * 25 = 750
425
-----------
325
25 + 7.50 = 32.5
325/32.5 = 10
B
Answer: (B) 10
Question: At the store, Sam bought a shirt and a toaster. There was a 5% sales tax on each item, and with tax, Sam paid a total of K. If the price of the toaster before tax was T, what, in terms of K and T, is the price of the shirt before tax?
(A) 0.95(K – T)
(B) 0.95K – T
(C) 0.95(K – 1.05T)
(D) (K – T)/1.05
(E) (K/1.05) – T
Rationale: 1.05S + 1.05T = K
1.05S = K - 1.05T
S = (K/1.05) - T
The answer is E.
Answer: (E) (K/1.05) – T
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
(A) 82
(B) 17
(C) 12
(D) 82
(E) 18
Rationale: Explanation:
T = 9/45 * 60 = 12
Answer: Option C
Answer: (C) 12
Question: From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 30 percent. What percent of the stockâ€™s 2007 starting price was the price of the stock at the end of 2009?
(A) 80
(B) 117
(C) 95
(D) 100
(E) 108
Rationale: Assume a value at the beginning of 2007. As this is a % question, assume P=100.
At the end of 2007 it becmae = 1.2*100=120
At the end of 2008 it decreased by 25% = 120*.75 = 90
At the end of 2009 it increased by 30% = 90*1.3 = 117
Thus ratio = 117/100 = 1.17 (in % terms = 117%). Thus B is the correct answer.
Answer: (B) 117
Question: 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?
(A) 1:2
(B) 2:1
(C) 2:3
(D) 6:5
(E) 3:1
Rationale: Explanation:
5Men + 12Boys ----- 4 days
7Men + 6Boys ------- 5 days
20Men + 48Boys = 35Men + 30Boys
18Boys = 15Men => 5Men = 6Boys
Men : Boys = 6:5
Answer: D
Answer: (D) 6:5
Question: A reduction of 30% in the price of apples would enable a man to obtain 54 more for Rs.30, what is reduced price per dozen?
(A) 1
(B) 2
(C) 6
(D) 7
(E) 10
Rationale: B
30*(30/100) = 9 --- 54
? --- 12 => Rs.2
Answer: (B) 2
Question: Rain is falling at a rate of 36 centimeters per hour all over Springfield. Somewhere downtown in Springfield a group of old people is waiting for the rain to stop. If the rain filled a round tank the with a base area of 150 square centimeters and a depth of 6 centimeters, how long did the people wait for the rain to stop?
(A) 6 hours
(B) 7 hours 15 minutes
(C) 5 hours
(D) 12 hours
(E) 10 hours
Rationale: Answer is : A, 6 hours
The volume of the tank is irrelevant and only height matters since rain fell all over the city.
Thus, it takes only 36 / 6 = 6 hours of rain to fill the tank
Answer: (A) 6 hours
Question: A boat can move upstream at 34 kmph and downstream at 30 kmph, then the speed of the current is?
(A) 2
(B) 9
(C) 5
(D) 9
(E) 5
Rationale: US = 34
DS = 30
M = (34 - 30)/2 = 2
Answer: A
Answer: (A) 2
Question: Of 58 players on a cricket team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
(A) 51
(B) 55
(C) 59
(D) 71
(E) 92
Rationale: Total = 58
Thrower = 37
Rest = 58 - 37 = 21
Left Handed = 21/3 = 7
Right handed = 14
If all Thrower are right handed then total right handed is 37 + 14 = 51
so A. 51 is the right answer
Answer: (A) 51
Question: If Rs. 544 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) s.300
(B) s.360
(C) s.389
(D) s.384
(E) s.323
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 = 544 * 2/17 = Rs. 64
B's share = 544 * 3/17 = Rs. 96
C's share = 544 * 12/17 =Rs.384.
Answer:D
Answer: (D) s.384
Question: From a total of 5 boys and 3 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?
(A) 16
(B) 24
(C) 30
(D) 120
(E) 240
Rationale: Answer=C=30
No of 4 person committees that can be formed=5C2*3C2=30
Answer C
Answer: (C) 30
Question: Sandy can do a job in 18 days and Molly can do the same job in 36 days. If they work together, in how many days will they complete the job?
(A) 6
(B) 8
(C) 10
(D) 12
(E) 15
Rationale: Sandy can do 1/18 of the job each day.
Molly can do 1/36 of the job each day.
The combined rate is 1/18 + 1/36 = 1/12 of the job each day.
The job will take 12 days.
The answer is D.
Answer: (D) 12
Question: The cricket team of 11members is 29yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ?
(A) 21
(B) 22
(C) 23
(D) 26
(E) 28
Rationale: Let the average age of the whole team be x years.
11x - (29 + 32) = 9 (x - 1)
=> 11x - 9x = 52
=> 2x = 52
=> x = 26.
So, average age of the team is 26 years.
D
Answer: (D) 26
Question: A man can row at 5 kmph in still water .If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back ,how far is the place ?
(A) 2.4 km
(B) 2.5 km
(C) 3 km
(D) 3.6 km
(E) None of these
Rationale: Answer A
Solution
Speed downstream = kmph = 6 kmph,Speed upstream = (5 - 1)
kmph = 4 kmph.
Let the required distance be x km.
Then,x/6 + x/4 = 1 => 2x + 3x = 12 5x = 12=> x = 2.4 km. Answer A
Answer: (A) 2.4 km