mathewhe/aqua_rat huggingface dataset:
Question: If 36 men can do a piece of work in 25 hours, in how many hours will 10 men do it?
(A) 76 hours
(B) 66 hours
(C) 57 hours
(D) 90 hours
(E) 18 hours
Rationale: Explanation:
Let the required numbers of hours be X.
Less men, More hours (Indirect proportion)
Therefore, 10 : 36 :: 25 : X = (10 x X) = (36 x 25) = X = (36 x 25)/10 = 90.
Hence, 10 men can do it in 90 hours.
ANSWER: D
Answer: (D) 90 hours
Question: A boat can move upstream at 15 kmph and downstream at 75 kmph, then the speed of the current is?
(A) 30
(B) 20
(C) 45
(D) 10
(E) 20
Rationale: US = 15
DS = 75
M = (75- 15)/2
= 30
Answer:A
Answer: (A) 30
Question: On a map, 1.5 inches represent 24 miles. How many miles approximately is the distance if you measured 49 centimeters assuming that 1-inch is 2.54 centimeters?
(A) 174.2
(B) 212
(C) 288.1
(D) 296
(E) 308
Rationale: 1.5 inch = 2.54*1.5 cm.
So, 2.54*1.5 represents 24 miles.
So for 49 cm.:
49/(2.54*1.5) = x / 24 ---> x = 24*49/(3.81) = 308
Answer will be E.
Answer: (E) 308
Question: Solve the number series by identifying the last number.
1 4 5 6 7 9 11 ?
(A) 100
(B) 120
(C) 98
(D) 89
(E) 131
Rationale: A
100
Series of number that do not contain albhabet 'T'
Answer: (A) 100
Question: If A^2 + B^2 = 15 and AB = 25, what is the value of the expression (A - B)^2 + (A + B)^2?
(A) 10
(B) 20
(C) 30
(D) 60
(E) 50
Rationale: (a-b)^2 = a^2 + b^2 - 2ab = 15-25= -10
(a+b)^2 = a^2 + b^2 + 2ab = 15+25=40
so (a+b)^2 + (a-b)^2 = 40 - 10 = 50
E
Answer: (E) 50
Question: A student traveled 25 percent of the distance of the trip alone, continued another 20 miles with a friend, and then finished the last half of the trip alone. How many miles long was the trip?
(A) 60
(B) 80
(C) 100
(D) 120
(E) 150
Rationale: Let x be the total length of the trip.
0.25x + 20 miles + 0.5x = x
20 miles = 0.25x
x = 80 miles
The answer is B.
Answer: (B) 80
Question: M = {-6, -5, -4, -3, -2, -1}
T = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5}
If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?
(A) 0
(B) 1/3
(C) 2/5
(D) 1/2
(E) 3/5
Rationale: We will have a negative product only if 1, 2, 3, 4, or 5 are selected from set T.
P(negative product) = 5/10 = 1/2
The answer is D.
Answer: (D) 1/2
Question: Eight coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
(A) 2^9
(B) 2^10
(C) 3 * 2^8
(D) 2^7
(E) 3 * 2^10
Rationale: Fix the third coin as H. The remaining 7 coins have 2^7 outcomes.
Ans:D
Answer: (D) 2^7
Question: If a and b are positive even integers, and the least common multiple of a and b is expressed as a*b/e, which of the following statements could be false?
(A) n is a factor of both a and b
(B) (a*b)/n < ab
(C) ab is multiple of 2.
(D) (a*b)/n is a multiple of 2.
(E) e is a multiple of 4.
Rationale: If we divide by e and get a multiple ofaand ofb, then e must be a common factor. Answer A must be true.
If a and b are even integers, dividing by a factor (also an integer) results in something smaller than the productab. Answer B must be true.
If eitheraorbis even, thenabmust be even. Answer C must be true.
If both are even, the smallest either number can be is 2. Thus, the smallest common factor must be 2. Answer D must be true.
Ifbis 6 andais 2,nwould be 6, which is not 4. E can be false.
Answer: (E) e is a multiple of 4.
Question: A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 27m/h. what is the speedof the person while he was going to his office?
(A) 8km/h
(B) 10km/h
(C) 12km/h
(D) 13km/h
(E) 18km/h
Rationale: u = k , v= 3k
\inline \therefore \frac{2uv}{u+v}\: \: \Rightarrow \frac{2\times k\times 3k}{(k+3k)}=27
\inline \Rightarrow 1.5k = 27
\inline \Rightarrow k=18km/h
E
Answer: (E) 18km/h
Question: A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time. If he was paid $198, how many hours overtime did he work?
(A) 8
(B) 5
(C) 9
(D) 6
(E) 13
Rationale: At $3 per hour up to 40 hours, regular pay = $3 x 40 = $120 If total pay = $168, overtime pay = $198 - $120 = $78 Overtime rate (twice regular) = 2 x $3 = $6 per hour => number of overtime hours = $78/$6 = 13
Ans is E
Answer: (E) 13
Question: If X boxes of pineapple juice cost 342 cents, how much will Y boxes cost in dollars?
(A) 342Y/X.
(B) X/(342Y)
(C) XY/(342).
(D) 3.42X/Y
(E) 3.42Y/X.
Rationale: X boxes of pineapple juice cost 342 cents or 3.42 dollars.
cost of pineapple juice = 3.42/x
Cost of Y pineapple juices = Y*3.42/x
Hence, answer will be E.
Answer: (E) 3.42Y/X.
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price
remains constant, approximately what percentage of the selling price is the profit
(A) 70%
(B) 80%
(C) 90%
(D) 100%
(E) None of above
Rationale: Explanation:
Let C.P.= Rs. 100.
Then, Profit = Rs. 320,
S.P. = Rs. 420.
New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.
Profit = Rs. (420 - 125) = Rs. 295
Required percentage = (295/420) * 100
= 70%(approx)
Answer: A
Answer: (A) 70%
Question: A set of numbers has the property that for any number x in the set, x+1 is also in the set. If -1 is in the set, which of the following must also be in the set
1. 2
2. 0
3. -2
(A) 1 only
(B) 2 only
(C) 1 and 2 only
(D) 2 and 3 only
(E) 1,2 and 3
Rationale: If X is in the set than X+ 1 is also in the set
If -1 in the set than
-1+1= 0 is also in the set
Since + 1 is Present, 1 + 1= 2 Is also present in the set .
Therefore Ans C
Answer: (C) 1 and 2 only
Question: For every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. For example, f(12)=2x4x6x8x10x12. What is the greatest prime factor of f(34)?
(A) 2
(B) 7
(C) 13
(D) 17
(E) 19
Rationale: f(34) = 2*4*6*8*10*12*14*16*18*20*22*24*26*28*30*32*34
The greatest prime factor in this list is 17.
The answer is D.
Answer: (D) 17
Question: A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%?
(A) Rs.11.81
(B) Rs.12
(C) Rs.12.25
(D) Rs.12.31
(E) None
Rationale: Solution
85 : 9 = 105 : x
x= (9×105/80)
= Rs.11.81
Hence, S.p per Kg	= Rs.11.81
Answer A
Answer: (A) Rs.11.81
Question: 4, 6, 12 , 14 , 28, 30, ?
(A) 20
(B) 40
(C) no=60
(D) 80
(E) 100
Rationale: C
60
The given sequence is a combination of two series 4, 12, 28, .... and 6, 14, 30, .... The pattern is +8, +16, +32. So, the missing number = (28 + 32) = 60
Answer: (C) no=60
Question: In a certain diving competition, 5 judges score each dive on a scale from 1 to 10. The point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. If a dive with a degree of difficulty of 3.2 received scores of 7.5, 8.3, 9.0, 6.0, and 8.6, what was the point value of the dive?
(A) 78.08
(B) 73.6
(C) 75.2
(D) 76.8
(E) 81.6
Rationale: Degree of difficulty of dive = 3.2
Scores are 6.0 , 7.5 , 8.0 , 8.5 and 9.0
We can drop 6.0 and 9.0
Sum of the remaining scores = (7.5+8.3+8.6)= 24
Point of value of the dive = 24.4*3.2 =78.08
Answer A
Answer: (A) 78.08
Question: Find the middle one when the sum of 3 consecutive even numbers is 36?
(A) 10
(B) 12
(C) 14
(D) 16
(E) 17
Rationale: 3 consecutive numbers can be a - 1, a, a + 1
So sum of numbers = 3a = 36.
Hence a = 12.
B
Answer: (B) 12
Question: A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is
(A) 600
(B) 750
(C) 1000
(D) 1250
(E) 1500
Rationale: Explanation:
speed = (5x5/18)m/sec
= 25/18 m/sec.
Distance covered in 15 minutes = (25/18 x 15 x 60)m
= 1250 m.
ANSWER IS D
Answer: (D) 1250
Question: Difference between the compound interest and the simple interest accrued on an amount of Rs. 18000 in two year is Rs. 405. What was the rate of interest?
(A) 14%
(B) 16%
(C) 12.5%
(D) 15%
(E) 15.5%
Rationale: C.I -S.I =P(R/100)^2
405=18000(R^2/10000)
(405*10000)/18000=R^2
R^2=225
Ans R=15%
ANSWER:D
Answer: (D) 15%
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
(A) 5.78
(B) 5.86
(C) 5.76
(D) 8.76
(E) 5.46
Rationale: M = 6
S = 1.2
DS = 7.2
US = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
D = 2.88 * 2 = 5.76
Answer:C
Answer: (C) 5.76
Question: In baseball, the batting average is defined as the ratio of a player’s hits to at bats. If a player had anywhere from 4 to 6 at bats in a recent game and had anywhere from 1 to 2 hits in the same game, the player’s actual batting average for that game could fall anywhere between
(A) 0.25 and 0.80
(B) 0.25 and 0.75
(C) 0.10 and 0.75
(D) 0.30 and 0.75
(E) 0.50 and 0.65
Rationale: Average Range = Hits to Bats i.e 1/6 to 2/4 = 0.16 to 0.50
Answer: C
Answer: (C) 0.10 and 0.75
Question: 6 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³)
(A) 4
(B) 8
(C) 10
(D) 20
(E) 40
Rationale: lXbXh= 12000
h= 6000/50*30= 4 cm
'A' is the answer.
Answer: (A) 4
Question: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
(A) 120
(B) 180
(C) 270
(D) 260
(E) 230
Rationale: Let the smaller number be x. Then larger number = (x + 1365).
x + 1365 = 6x + 15
5x = 1350
x = 270
Smaller number = 270.
ANSWER: C
Answer: (C) 270
Question: Two taps can separately fill a cistern 7 minutes and 14 minutes respectively and when the waste pipe is open, they can together fill it in 8 minutes. The waste pipe can empty the full cistern in?
(A) 6.2
(B) 8.2
(C) 11.2
(D) 9.2
(E) 7.2
Rationale: 1/7 + 1/14 - 1/x = 1/8
x = 11.2
Answer:C
Answer: (C) 11.2
Question: In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 170 m. Then, A wins by:
(A) 60 m
(B) 20m
(C) 43m
(D) 20m
(E) 23m
Rationale: To reach the winning post A will have to cover a distance of (500 - 170)m, i.e., 330 m.
While A covers 3 m, B covers 4 m.
While A covers 330 m, B covers 4 x 330/3	m	= 440 m.
Thus, when A reaches the winning post, B covers 440 m and therefore remains 60 m behind.
A wins by 60 m.
Answer:	A
Answer: (A) 60 m
Question: Remainder of 2^47/47 ?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: (2^(47/46))/47 = 2^1/47 = 2
ANSWER:A
Answer: (A) 2
Question: Among 100 people, 50% like strawberry jam, 40% like apple jam, and 30% like raspberry jam. If 30% of the people like both strawberry and apple jam, what is the largest possible number of people who like raspberry jam but do not like either strawberry or apple jam?
(A) 40%
(B) 30%
(C) 25%
(D) 50%
(E) 40%
Rationale: 50%+40%-30%=60% who like either Strawberry, Apple, or both.
That means 100%-60% = 40% do not like either Apple of Strawberry jam.
40% is the most possible that like raspberry jam but do not like either strawberry or apple (assuming nobody in the group does not like any)
Answer is A
Answer: (A) 40%
Question: A committee of 3 persons is to be formed from 3 company secretaries, 4 economists and 1 chartered accountant. What is the probability that each of the three professions is represented in the committee?
(A) 1/28
(B) 3/28
(C) 1/14
(D) 4/28
(E) 3/14
Rationale: 3/8*4/7*1/6*3! = 3/14. We are multiplying by 3! because we can choose secretary, economist, and accountant is several way: SEA, SAE, ESA, EAS, ASE, AES.
Answer: E.
Answer: (E) 3/14
Question: Bruno and Sacha are running in the same direction around a stadium. Sacha runs at a constant speed of 6 meters per second, and Bruno runs at a constant speed of 5 meters per second. At a certain point Sacha overtakes Bruno. If five minute afterward, Sacha stops and waits for Bruno to reach him, then how many seconds does he have to wait?
(A) 12
(B) 24
(C) 36
(D) 60
(E) 72
Rationale: the difference of the speed is 1m per second so in five minute Sacha will be 300 m ahead of Bruno..
Bruno will cover this in 300/5=60 secs..
D
Answer: (D) 60
Question: The unit’s digit in the product (3127)^173 is:
(A) 1
(B) 3
(C) 7
(D) 9
(E) 11
Rationale: Unit digit in (3127)^173 = Unit digit in 7^173.
Now, 7^4 gives unit digit 1.
Therefore, 7^173= (74)^43 * 7^1. Thus, 7^173 gives unit digit 7.
ANSWER:C
Answer: (C) 7
Question: A boatman goes 2 km against the current of the stream in 2 hour and goes 1 km along the current in 20 minutes. How long will it take to go 5 km in stationary water?
(A) 4hr
(B) 25 min
(C) 45 min
(D) 6 hr
(E) 2 hr 30 min
Rationale: Explanation:
Speed upstream=2/2=1 kn/hr
Speed downstream=1/(20/60)=3 km/hr
Speed in still water=1/2(3+1)=2 km/hr
Time taken to travel 5 km in still water=5/2=2 1/2 hours=2 hour 30 minutes
Answer:E
Answer: (E) 2 hr 30 min
Question: Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $200, what were her original savings?
(A) $900
(B) $300
(C) $600
(D) $700
(E) $800
Rationale: If Linda spent 3/4 of her savings on furnitute, the rest
4 / 4 - 3 / 4 = 1 / 4 on a TV
But the TV cost her $200. So 1 / 4 of her savings is $200. So her original savings are 4 times $200 = $800
correct answer E
Answer: (E) $800
Question: The average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 45 kg. What is the weight of the new person?
(A) 75 kg
(B) 85 kg
(C) 95 kg
(D) 65 kg
(E) 55 kg
Rationale: The total weight increase = (8 x 2.5) kg = 20 kg
weight of new person = (45 + 20) kg = 65 kg
The answer is D.
Answer: (D) 65 kg
Question: As part of a game, five people each must secretly choose an integer between 1 and 5, inclusive. What is the approximate likelihood that all five people will choose different numbers?
(A) 4%
(B) 12%
(C) 16%
(D) 20%
(E) 25%
Rationale: Ans:a)
1st person has option no's- (1,2,3,4,5) - there fore probability of getting a no = 5c1/5c1 = 1
2nd person has option no's any four ,
he has to choose a no from four no's - there fore probability of getting a no = 4c1/5c1 = 4/5
3rd person has option no's any three ,
he has to choose a no from three no's -there fore probability of getting a no = 3c1/5c1 = 3/5
4th person has option no's any two - there fore probability of getting a no = 2c1/5c1 = 2/5
4th person has option no's only one - there fore probability of getting a no = 1c1/5c1 = 1/5
=1*4/5*3/5*2/5*1/5 = 4%
Answer: (A) 4%
Question: The market price of an article was 40% more than its cost price. I was going to sell it at market price to a customer, but he showed me some defects in the article, due to which I gave him a discount of 28.57%. Next day he came again and showed me some more defects, hence I gave him another discount that was equal to 12.5% of the cost price. What was the approximate loss to me?
(A) Loss of 10%
(B) Loss of 12.5%
(C) Loss of 15%
(D) Loss of 25%
(E) None of these
Rationale: Let the cost price be Rs 100
Then, market price is Rs 140
Now, the first discount is of 28.57% (approx.) = 2/7 th of market price.
Hence, its selling price = 140 x 5/7 = Rs 100
Now since you are selling at cost price, any further discount will be equal to loss percentage.
ANSWER:B
Answer: (B) Loss of 12.5%
Question: Which of the following is equal to 1(1/2)%?
(A) 0.012/100
(B) 0.12/100
(C) 1.5/100
(D) 12/100
(E) 12/10
Rationale: This notation may be confusing for some, since it looks like we're multiplying 1 and 1/2
How about adding a space:Which of the following is equal to (1 1/2)%
(1 1/2)% = 1.5% = 1.5/100
Answer:
C
Answer: (C) 1.5/100
Question: A trader has 400 kg of rice, a part of which he sells at 36% profit and the rest at 24% loss. On the whole he losses 12%. What is the quantity sold at 24% loss?
(A) 80kg
(B) 100kg
(C) 175kg
(D) 320 kg
(E) 400 kg
Rationale: Out of 400, some quantity gave 36% profit & remaining gave 24% loss
Now, 24% loss means -24% profit
From here, we got the 1st row of numbers i.e 36 & -24
The Resultant is again a loss of 12% , so profit of -12%; this will come up in the 2nd row
Using rules of alligation; -12 > -24; so subtracting:
- 12 - (-24) = -12 + 24 = 12
36 > -12; again subtracting:
36 - (-12) = 48
This gives the 3rd row i.e 12 & 48
So, the total (12 + 48) = 60, 48 have given a loss of 24%
So, calculation will be
48/(12+48)∗400=320 Answer = C
Answer: (C) 175kg
Question: Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen
(A) 44/221
(B) 55/221
(C) 76/221
(D) 45/221
(E) 63/221
Rationale: WE HAVE N(S)=52C2=(52*51)/(2*1)=1326.
LET A=EVENT OF GETTING BOTH BLACK CARDS
B=EVENT OF GETTING BOTH QUEENS
AB=EVENT OF GETTING QUEEN OF BLACK CARDS
N(A)=26C2=(26*25)/(2*1)=325,
N(B)=4C2=(4*3)/(2*1)=6 AND
N(AB)=2C2=1
P(A)=N(A)/N(S)=325/1326;
P(B)=N(B)/N(S)=6/1326 AND
P(AB)=N(AB)/N(S)=1/1326
P(AB)=P(A)+P(B)-P(AB)=(325+6-1/1326)=330/1326=55/221
Option: B
Answer: (B) 55/221
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. 2520 interest only for the period. The principal amount borrowed by him was:
(A) s. 2,000
(B) s. 1,000
(C) s. 5,000
(D) s. 8,000
(E) s. 7,000
Rationale: Principal = Rs. (100 x 2520)/(12X3) = Rs. 7000. Answer: Option E
Answer: (E) s. 7,000
Question: Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 12240, how much money did he borrow?
(A) 12000
(B) 80288
(C) 2668
(D) 2600
(E) 2781
Rationale: Let the sum be Rs. x. Then,
[(x * 6 * 3)/100] + [(x * 9 * 5)/100] + [(x * 13 * 3)/100] = 12240
18x + 45x + 39x = (12240 * 100)
102x = 1224000 => x = 12000.
Answer:A
Answer: (A) 12000
Question: A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability W that the 2 apples selected will include the spoiled one?
(A) a. 1/5
(B) b. 3/10
(C) c. 2/5
(D) d. 1/2
(E) e. 3/5
Rationale: there can be two ways in which one can select a spoiled apple and a good apple.
1. you pick the spoiled one first and the good one later..
Prob of picking bad one = 1/5 (one bad apple)
Prob of picking a good one from the remaining 4 good apples (4/4 =1)
therefore the total prob for case 1 = i/5 * 1 = 1/5
Total prob W= porb1 + prob2 = 1/5+1/5 = 2/5.C
Answer: (C) c. 2/5
Question: The average of a set of five distinct integers is 370. If each number is less than 2,000, and the median of the set is the greatest possible value, what is the sum of the two smallest numbers?
(A) -4,494
(B) -3,997
(C) -3,494
(D) -4,144
(E) The answer cannot be determined from the information given
Rationale: Sum of the set = 370*5=1850 Each number is less than 2000 and median of the set is the greatest possible value.
Therefore last 3 numbers can be 1999,1998 and 1997. Their sum=5994.
Therefore sum of two smallest numbers= 1850-5994= -4144
Answer=D
Answer: (D) -4,144
Question: A crate measures 7 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit in the crate?
(A) 2
(B) 4
(C) 6
(D) 7
(E) 12
Rationale: We can find the radius of all the three cases of cylinders.
The only crux to find the answer faster is that:
Voulme is pi*r^2*h. The volume is a function of r^2. so r has to be the highest to find the largest volume.
So r=7 for the surface 8*12 face.
Volume = 343pi
Answer D
Answer: (D) 7
Question: A car dealer has only red and yellow cars in his show room. He currently has 20% more yellow cars then red. IF he has 20 red cars, how many yellow cars does he have?
(A) 25
(B) 30
(C) 35
(D) 40
(E) 45
Rationale: Since we know the dealer only has yellow and red cars in their showroom we can conclude that red and yellow cars make up 100% of the cars. Since we know the difference between the amount of cars is 20% we can assume that the red cars make up 40% of the cars.
20/x=40/100 using cross multiplication we can find that 100x20=2000 and 2000/40=50
So now we know that there are 50 cars total. We can subtract the number of red cars from the total to find the number of yellow cars. 50-20=30
there are a total of 30 yellow cars. The answer is B
Answer: (B) 30
Question: If 4 men working 10 hours a day earn Rs. 1000 per week, then 9 men working 6 hours a day will earn how much per week?
(A) Rs 840
(B) Rs 1350
(C) Rs 1620
(D) Rs 1680
(E) None of these
Rationale: Explanation :
(Men 4:9) : (Hrs/Day 10:6) :: 1000 : x
hence 4 * 10 *x = 9 * 6 * 1000
or x = 9*6*1000/ 4*10 = 1350
Answer : B
Answer: (B) Rs 1350
Question: Working together, 7 identical pumps can empty a pool in 6 hours. How many hours will it take 6 pumps to empty the same pool?
(A) 6
(B) 5
(C) 4
(D) 8
(E) 7
Rationale: The answer is E
7 pumps take 6 hours. 1 Pump will take 6*7 hours . Hence 6 pumps will take (6*7)/6 = 7 hours
Answer: (E) 7
Question: Mr. Ram is on tour and he has Rs 360 for his expenses. If he exceeds his tour by 4 days he must cut down daily expenses by Rs 3. The number of days of Mr. Ram's tour programme is
(A) 28 Days
(B) 24 Days
(C) 22 Days
(D) 20 Days
(E) None of these
Rationale: Solution:
Let Ram under takes a tour of x days.
Then, expenses for each day = 360/x
360/x+4=360/x−3
x=20x=20 and −24−24
Hence, x= 20 days.
Option(D)
Answer: (D) 20 Days
Question: If x is an even integer, which of the following is an even integer?
(A) 3x-3
(B) x+x^2
(C) 5x-3
(D) 2x+1
(E) 9x-5
Rationale: Plug in an even integer; in this case 2
(3*2)-3 = 6-3 = 3 Odd
2+2^2 = 6 Even
(5*2)-3 = 10 - 3 = 7 Odd
(2*2)+1 = 4 + 1 = 5 Odd
(9*2)-5 = 18 - 5 = 13 Odd
Answer: B
Answer: (B) x+x^2
Question: Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full ?
(A) 4 hrs
(B) 5 hrs
(C) 7 hrs
(D) 9 hrs
(E) None
Rationale: Solution
A's work in 1 hour	= 1/6.
B's work in 1 hour	= 1/4.
(A+B)'s 2 hour's work when opened alternately	= (1/6 + 1/4)
= 5/12.
(A+B)'s 4 hour's work when opened alternately	= 10/12
= 5/6.
Remaining part	= (1 - 5/6)
= 1/6.
Therefore, total tank to fill the tank	(4+1)hrs = 5 hrs.
Answer B
Answer: (B) 5 hrs
Question: A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
(A) Rs. 35
(B) Rs. 245
(C) Rs. 350
(D) Cannot be determined
(E) None of these
Rationale: EXPLANATION
We need to know the S.I., principal and time to find the rate.
Since the principal is not given, so data is inadequate.
Answer D
Answer: (D) Cannot be determined
Question: Carl bought 16 gumballs, Lewis bought 12 gumballs, and Carey bought X gumballs. The average (arithmetic mean) number of gumballs the three bought is between 19 and 25, inclusive. What is the difference between the greatest number and the smallest number of gumballs Carey could have bought?
(A) 20
(B) 16
(C) 22
(D) 18
(E) 24
Rationale: Smallest gumballs = (19-16) + (19-12) +19= 29
Largest gumballs = (25-16) + (25-12) +25= 47
Difference = 47 - 29 = 18
D
Answer: (D) 18
Question: The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
(A) 10
(B) 50
(C) 20
(D) 30
(E) 40
Rationale: Let the three parts be A, B, C. Then,
A : B = 2 : 3 and B : C = 5 : 8
= (5 x (3/5)):(8 x (3/5))
= 3 : 24/5
A : B : C = 2 : 3 : 24/5
= 10 : 15 : 24
B = (98 x 15/49)= 30.
Answer is D.
Answer: (D) 30