mathewhe/aqua_rat huggingface dataset:
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
(A) 33
(B) 88
(C) 66
(D) 12
(E) 99
Rationale: Speed of the boat downstream = 15 + 3 = 18 kmph
= 18 * 5/18 = 5 m/s
Hence time taken to cover 60 m = 60/5 = 12 seconds.
Answer: D
Answer: (D) 12
Question: How many of the following numbers are divisible by 16 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
(A) 2
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: By using your calculator you can calculate that the following numbers are divisible by 16 : 5184, 6336
Required number of number = 2.
A
Answer: (A) 2
Question: Two pipes A and B can separately fill a cistern in 60 minutes and 120 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 60 minutes. In how much time, the third pipe alone can empty the cistern?
(A) 90 min
(B) 100 min
(C) 110 min
(D) 120 min
(E) 130 min
Rationale: 1/60-(1/60+1/120)=-1/120
third pipe can empty in 120 minutes
ANSWER:D
Answer: (D) 120 min
Question: A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . How many feet does the squirrel travels if the post is 16 feet tall and 3 feet in circumference?
(A) 10 feet
(B) 12 feet
(C) 13 feet
(D) 15 feet
(E) 18 feet
Rationale: total circuit=16/4=4
total feet squirrel travels=4*3=12 feet
ANSWER:B
Answer: (B) 12 feet
Question: 51 = 4a + 3b
5 > |–a|
If a and b are both integers, What is the highest values of ‘a’ that can be used to solve the above equation.
(A) 1
(B) 2
(C) 3
(D) -3
(E) 0
Rationale: Let us understand the meaning of 5 > |-a|
1) when we write |-x| this means the same as |x|.
2) Mod is very easy concept if you solve mod question by considering as a distance. when a mod is written as |x-(a)| = b, this means the distance from point 'a' (both side left and right of 'a' on number line) is b. |x-(a)| < b means the distance is between the two extreme distance(left and right side of 'a' on number line, considering the max distance is 'b' from 'a' - as per this scenario.....hence the value of 'a' must be between these two extremes. |x-(a)| > b means the distance is greater than the distance of 'b'..i.e the value of a could be anywhere more than 'b'.
Now come to the question. First its given|-a| < 5 ==> |a| < 5 ===> |a-0| < 5 ==> the distance from zero is less than 5. So the point will be -4,-3,-2,-1,0,1,2,3,4 as distance from 0 to these values is less than 5.
Now, lets move to equation 4a + 3b = 51 ==> b = 17 – (4 *(a/3)). According to question, b is an integer, hence to make b integer a must be divisible by 3. Now remove the value which can’t make a divisible by 3 from the possible values of a. It will remain with -3 and 3. Out of these two values 3 is higher and it which makes the value of b = (17 - (4 * (3/3)) = 17 - 4 ==> b = 13 (an integer). Hence the Answer is C (value 3).
Answer: (C) 3
Question: Can you find the smallest non fractional number such that
If the number gets divided by 4 , we get the remainder of 1;
If the number gets divided by 5 , we get the remainder of 2
If the number gets divided by 6 , we get the remainder of 3;
If the number gets divided by 7, we get the remainder of 4.
(A) 550
(B) 418
(C) 581
(D) 443
(E) 720
Rationale: B.
418
As we know LCM of the numbers 4,5,6 & 7 is 420.
So if i divide 420 by any of the four number , it gives remainder as 0.
Now to get reminder as desired, is should be 2 short of 418. (3-1,4-2,5-3,6-4 )
ANS:option B
Answer: (B) 418
Question: Nathan,Fred, Alan, Becky and Allison are each
holding one of the following 4 cards. Nathan
and Alan both have Spades. Becky and Alan
both have the same number. Which one has the
9 of hearts?
(A) Nathan
(B) Fred
(C) Alan
(D) Becky
(E) Allison
Rationale: The clue “Becky has the same number card as Alan” tells us that Alan has a ‘7’
card.
The clue ‘Nathan and Alan both have spades’ leads us to the fact that Alan has a 7
of spades.
Thus the remaining spade card, ’10 of spades’, belongs to Nathan and the
remaining ‘7’: ‘7 of diamonds’, belongs to Becky. That leaves ‘9 of hearts’ to
Allison.
correct answer E
Answer: (E) Allison
Question: A cistern is filled by a tap in 7 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how many hours will it take the leak to empty it?
(A) 80
(B) 100
(C) 120
(D) 140
(E) 160
Rationale: filling rate - leak rate = net rate
1/7.5 - leak rate = 1/8
leak rate = 2/15 - 1/8 = 1/120
The answer is C.
Answer: (C) 120
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
(A) 1500
(B) 1800
(C) 2100
(D) 1950
(E) 2200
Rationale: P = 15(100/10)2 => P = 1500
ANSWER:A
Answer: (A) 1500
Question: In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
(A) 4256
(B) 5336
(C) 6000
(D) 3000
(E) 4000
Rationale: In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
A.	4236
B.	4306
C.	4336
D.	5336
E.	None of these
Answer: Option D
Explanation:
Divisor = (5 x 46) = 230
10 x Quotient = 230 =	230	= 23
10
Dividend = (Divisor x Quotient) + Remainder
= (230 x 23) + 46
= 5290 + 46
= 5336.
ANSWER B
Answer: (B) 5336
Question: Five friends Adi, Brian, Close, Derek and Eli appeared in two aptitude tests. In the first aptitude test, Derek score 50% less than the average score of the five people. In the second aptitude test, Derek score 50% more than what he scored on the first aptitude test. If the score of his friend in the second aptitude test were same as their score in the first test, by approximately what percentage was Derek's score less than the average score of the 5 people in the second aptitude?
(A) 25%
(B) 28%
(C) 33%
(D) 40%
(E) 50%
Rationale: Average score in first test be X
So derby score = 0.5X (first test)
Derby score =1.5(0.5X) ( second test) =.75X
So less than X by .25
Answer A 25%
Answer: (A) 25%
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
(A) 16 km/hr
(B) 50 km/hr
(C) 15 km/hr
(D) 17 km/hr
(E) 18 km/hr
Rationale: Speed of the train relative to man = 125/10 = 25/2 m/sec.
= 25/2 * 18/5 = 45 km/hr
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 5 = 45 => x = 50 km/hr.
Answer: B
Answer: (B) 50 km/hr
Question: Change the below lagarithm log255 = 1/2 to exponential form
(A) 5
(B) 8
(C) 7
(D) 10
(E) 11
Rationale: Solution:
log255 = 251/2 = 5
ANSWER IS A
Answer: (A) 5
Question: A train covers a distance of 12 km in 10 min. If it takes 5 sec to pass a telegraph post, then the length of the train is?
(A) 298 m
(B) 188 m
(C) 120 m
(D) 160 m
(E) 189 m
Rationale: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec
= 20 m/sec.
Length of the train = 20 * 8
= 160 m.
Answer:D
Answer: (D) 160 m
Question: In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
(A) 237788
(B) 27667
(C) 11760
(D) 29877
(E) 27781
Rationale: Required number of ways =
Answer: C) 11760
Answer: (C) 11760
Question: what is the compound interest on rs:40,000 for 4 months at the rate of 5% per annum
(A) 670.85
(B) 671.85
(C) 672.85
(D) 673.85
(E) 674.85
Rationale: it is monthly compound
rate=5/12% per month
40000*(1+5/1200)^4-40000=670.85
ANSWER:A
Answer: (A) 670.85
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 9 years and that for 6 years?
(A) 1 : 3
(B) 2 : 3
(C) 1 : 2
(D) 3 : 2
(E) 1 : 4
Rationale: Let the principal be P and rate of interest be R%.
Required ratio =
(P x R x 9)/100 DIVIDED BY	(P x R x 6)/100
=	9PR/6PR	=	9/6	= 3 : 2.
ANSWER : D
Answer: (D) 3 : 2
Question: If three machines working at the same rate can do 3/4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3/5 of the job?
(A) 36
(B) 60
(C) 75
(D) 80
(E) 100
Rationale: using the std formula
m1d1h1/w1=m2d2h2/w2
substituting the values we have
3*1/2*4/3=2*5/3*x (converted 30 min into hours =1/2)
2=10/3*x
x=3/5 hour
so 36 minutes
ANSWER:A
Answer: (A) 36
Question: The number of circles that can be drawn out of 10 points of which 7 are collinear is
(A) 130
(B) 85
(C) 45
(D) Cannot be determined
(E) None of these
Rationale: Solution
For drawing a circle we need 3 non collinear points.This can be done in:
3C3 + 3C2 × 7C1 + 3C1 × 7C2 = 1 + 21 + 63 = 85. Answer B
Answer: (B) 85
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
(A) 17 1/7 days
(B) 17 1/8 days
(C) 17 1/9 days
(D) 17 7/7 days
(E) 18 1/7 days
Rationale: 1/30 + 1/40 = 7/120
120/7
= 17 1/7 days
Answer: A
Answer: (A) 17 1/7 days
Question: The average of a non-zero number and its square is 5 times the number. The number is:
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Rationale: (x+x^2)/2=5x
x^2=9x
x=9
ANSWER:E
Answer: (E) 9
Question: Pipes A and B can fill a cistern in 9 and 72 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
(A) 13
(B) 12
(C) 16
(D) 18
(E) 19
Rationale: :
1/9 + 1/72 = 1/8
8 * 2 = 16.Answer:C
Answer: (C) 16
Question: Look at this series: 7, 10, 8, 11, 9, 12, 10, ... What number should come next?
(A) 7
(B) 10
(C) 12
(D) 13
(E) 14
Rationale: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
The answer is D.
Answer: (D) 13
Question: If a and b are the two values of t that satisfy
the equation t^2 â€“ 14t + 24 = 0, with a > b, what is the value of a â€“ b?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
Rationale: Factor the left side of the equation:
t^2 â€“ 14t + 24 = 0
(t â€“ 2)(t â€“ 12) = 0
t = 2, t = 12
Thus, a = 12 and b = 2. So a â€“ b = 12 â€“ 2 = 10.
The answer is E.
Answer: (E) 10
Question: At a conference table, 9 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these 9 employees?
(A) 41000
(B) 41320
(C) 42320
(D) 40320
(E) 43320
Rationale: Head's sit is fixed. Now 8 people is left with 8 seats.
8 people can sit on 8 seats in 8! ways or 40320 ways.
Ans is D
Answer: (D) 40320
Question: Line m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 4) and (6, -6). What is the slope of line m ?
(A) -3
(B) -1
(C) -1/3
(D) 0
(E) Undefined
Rationale: Ans:B
Solution: line m goes through midpoint of (2, 4) and (6, -8). midpoint is (4,-1)
as we can see that the y axis of intercept point is (0,-2) means line m is parallel to x axis
slope M= -1
Ans: B
Answer: (B) -1
Question: The sale price of a trolley bag including the sale tax is Rs. 420. The rate of sale tax is 12% . If the shopkeeper has made a profit of 25%, the cost price of the trolley bag is:
(A) Rs 625
(B) Rs 300
(C) Rs 350
(D) Rs 375
(E) None of these
Rationale: Explanation :
112% of S.P. = 420
S.P. = Rs.(420x 100/112) = Rs.375.
C.P. = Rs (100/125x 375) = Rs 300
Answer : B
Answer: (B) Rs 300
Question: Out of 7 constants and 4 vowels how many words of 3 consonants and 2 vowels can be formed?
(A) 25200
(B) 32500
(C) 45100
(D) 15460
(E) 36400
Rationale: Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4)
= 7C3 * 4C2
= 210
Number of groups each having 3 consonants and 2 vowels = 210
Each group contains 5 letters
Number of ways of arranging 5 letters among themselves
= 5! = (5 * 4 * 3 * 2 * 1)
= 210
Required number of words = (210 * 210)
= 25200
Ans: A
Answer: (A) 25200
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
(A) 157.58
(B) 157.56
(C) 157.5
(D) 157.52
(E) 157.54
Rationale: (3500*1.5*3)/100 => 157.50
Answer:C
Answer: (C) 157.5
Question: If 20% of a number is equal to three-fifth of another number, what is the ratio of first number to the second number?
(A) 3:1
(B) 2:1
(C) 1:3
(D) 1:2
(E) 2:3
Rationale: Let 20% of A = 3/5 B. Then,
20A/100 = 3B/5 => 1A/5 = 3B/5
A/B = (3/5 * 5/1) = 3/1
A:B = 3:1.
Answer: A
Answer: (A) 3:1
Question: A basket has 6 apples and 6 oranges. Three fruits are picked at random. What is the probability that at least 2 apples are picked?
(A) 1/2
(B) 1/3
(C) 1/4
(D) 2/5
(E) 3/10
Rationale: The total possible choices are 12C3 = 220
The ways to choose 3 apples: 6C3 = 20
The ways to choose 2 apples: 6C2 * 6C1 = 90
P(at least 2 apples) = 110/220 = 1/2
The answer is A.
Answer: (A) 1/2
Question: By purchasing an article at 20 % discount on the original price and then selling it at a price of 25% above the original price, a trader earns Rs. 200 as the profit. What was the original price of the article?
(A) Rs. 444.44
(B) Rs. 255.50
(C) Rs. 100.10
(D) Rs. 810
(E) None of these
Rationale: Explanation:
Let the original price of the article be Rs. 100. Hence the purchase price for the trader would be Rs. 80 and his selling price would be Rs. 125. Thus, he would earn a profit of Rs. 45 (125 – 80). Therefore,
Profit is Rs. 45 if the original price is Rs. 100
Hence, if profit is Rs. 200, then original price will be..
= 100x 200/45
= Rs. 444.44
ANSWER A
Answer: (A) Rs. 444.44
Question: A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
(A) 288
(B) 278
(C) 267
(D) 285
(E) 231
Rationale: Since the month begins with a Sunday, so there will be five Sundays in the month.
Required average = [(510 * 5) + (240 * 25)]/30
= 8550/30
= 285.
Answer: D
Answer: (D) 285
Question: Select the non termination decimal among the following.
(A) 11/3
(B) 3/4
(C) 4/5
(D) 7/8
(E) 9/10
Rationale: A. Non terminating decimal means that 11/3 = 3.66666 and so on.
Answer: (A) 11/3
Question: How many paying stones, each measuring 3 * 2 m are required to pave a rectangular court yard 15 m long and 6 m board?
(A) 99
(B) 18
(C) 26
(D) 15
(E) 12
Rationale: 15 * 6 = 3 * 2 * x => x
= 15
Answer: D
Answer: (D) 15
Question: Ten percent of Ram's monthly salary is equal to eight percent of Shyam's monthly salary. Shyam's monthly salary is twice Abhinav's monthly salary. If Abhinav's annual salary is Rs. 1.92 lakhs, find Ram's monthly salary?
(A) 28888
(B) 28892
(C) 25600
(D) 27772
(E) 17713
Rationale: Let the monthly salaries of Ram and Shyam be Rs. r and Rs. s respectively.
10/100 r = 8/100 s
r = 4/5 s
Monthly salary of Abhinav = (1.92 lakhs)/12 = Rs. 0.16 lakhs
s = 2(0.16 lakhs) = 0.32 lakhs
r = 4/5(0.32 lakhs) = Rs. 25600
Answer: C
Answer: (C) 25600
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
(A) 17 kg
(B) 20 kg
(C) 22 kg
(D) 26 kg
(E) 31 kg
Rationale: Let A, B, C represent their respective weights. Then, we have:
A + B + C = (45 x 3) = 135 .... (i)
A + B = (40 x 2) = 80 .... (ii)
B + C = (43 x 2) = 86 ....(iii)
Adding (ii) and (iii), we get: A + 2B + C = 166 .... (iv)
Subtracting (i) from (iv), we get : B = 31.
B's weight = 31 kg.
Answer: Option E
Answer: (E) 31 kg
Question: A man rows to a place 24 km distance and come back in 7 hours. He finds that he can row 2 km with the up stream in the same time as 3 km against the down stream. The rate of the stream is
(A) 10/3 km/hr
(B) 13/3 km/hr
(C) 20/7 km/hr
(D) 30/7 km/hr
(E) 40/7 km/hr
Rationale: Explanation:
Speed down stream = distance/time = 3/x
Speed up stream = distance/time = 2/x
Time taken to row 24 km up stream and down stream is
= 48/(2/x) + 48/(3/x)
= 48x/2 + 48x/3 = 48x(5/6) = 8x+5 = 40x
40x = 7
x = 7/40 hr
Speed of down stream 3/(7/40) = 120/7
speed of up stream = 2/(7/40) = 80/7
Rate of stream = 1/2(a - b) = 1/2[(120/7)-(80/7)]
= 1/2(40/7)
= 20/7 km/hr
Answer: Option C
Answer: (C) 20/7 km/hr
Question: What is the remainder when 3^381 is divided by 5 ?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Rationale: I also agree that the remainder is '3' (using the last digit of the powers of 7). Could we have the official answer please?D
Answer: (D) 3
Question: P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
(A) 6 (1/4) days
(B) 6 (3/4) days
(C) 7 (3/4) days
(D) 8 (3/4) days
(E) 9 (3/4) days
Rationale: Work done by P alone in one day = 1/9th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/9 of the total) = 1/27 of the total.
Work done by P and Q, working together in one day = 1/9 + 1/27 = 4/27 of the total
They would take 27/4 days = 6 (3/4) days to complete the work working together.
ANSWER:B
Answer: (B) 6 (3/4) days
Question: A runs twice as fast as B and gives B a start of 60m.How long should the racecourse be so that A and B might reach in the same time?
(A) 120 m.
(B) 80 m.
(C) 150 m.
(D) 100 m.
(E) None of the above
Rationale: ratio of speeds of a and b is 2:1
b is 60m away from a but we know that a covers 1 meter(2-1) more in every second than b
the time taken for a to cover 60m is 60/1=60m
so the total time taken by a and b to reach =2*60=120m
ANSWER:A
Answer: (A) 120 m.
Question: If 5 is added to twice a number and this sum is multiplied by 10, the result is the same as if the number is multiplied by 5 and 20 is added to the product. What is the number?
(A) -5
(B) -8
(C) -2
(D) 10
(E) 11
Rationale: let the number be x;
10(5+2x)=5x+20;
x=-2
ANSWER:C
Answer: (C) -2
Question: Laxman went 15 kms from my house, then turned left and walked 20 kms. He then turned east and walked 25 kms and finally turning left covered 20kms. How far was he from his house?
(A) 40*1.414
(B) 30*1.414
(C) 45*1.414
(D) 20*1.414
(E) 48*1.414
Rationale: If we plot a graph for the given motion then we find that total distance in a direction is 40 km. and there is 40 km. in perpendicular to that direction so direct distance of Laxman from the initial position will be sqrt(40^2 + 40^2) = 40 sqrt(2) = 40*1.414
ANSWER:A
Answer: (A) 40*1.414
Question: A sum of money invested for a certain number of years at 8% p.a. simple interest grows to Rs.180. The same sum of money invested for the same number of years at 4% p.a. simple interest grows to Rs.120. For how many years was the sum invested?
(A) 25 years
(B) 40 years
(C) 33 years and 4 months
(D) Cannot be determined
(E) None of these
Rationale: Solution:
From the information provided we know that,
Principal + 8% p.a. interest on principal for n years = 180 …….. (1)
Principal + 4% p.a. interest on principal for n years = 120 ……… (2)
Subtracting equation (2) from equation (1), we get
4% p.a. interest on principal for n years = Rs.60.
Now, we can substitute this value in equation (2),
i.e Principal + 60 = 120
= Principal = Rs.60.
We know that SI = pnr/100, where p is the principal, n the number of years and r the rate percent of interest.
In equation (2), p = Rs.60, r = 4% p.a. and the simple interest = Rs.60.
Therefore, 60 = (60 X n X 4)/100
=> n = 100/4 = 25 years.
Answer A
Answer: (A) 25 years
Question: Calculate the number of urns of water needed to fill a tank of dimensions of 10x10x5m to 90% full, if the volume of the urn is 0.8m3 and can only be filled to 80%.
(A) 520
(B) 650.2
(C) 685.5
(D) 703.1
(E) 712.2
Rationale: Volume of the tank that needed to be filled=10x10x5x0.9=450
Volume of the urn that can be filled=0.8x0.8=0.64
No. of urns of water needed to fill the tank=450/0.64= 703.1
Answer: D
Answer: (D) 703.1
Question: A clock is set right at 5 a.m. The clock loses 16 minutes in 24 hours.What will be the true time when the clock indicates 10 p.m. on 4th day?
(A) 11pm
(B) 12pm
(C) 10pm
(D) 09pm
(E) 08pm
Rationale: Time from 5 am. on a day to 10 pm. on 4th day = 89 hours.
Now 23 hrs 44 min. of this clock = 24 hours of correct clock.
356/15 hrs of this clock = 24 hours of correct clock
89 hrs of this clock = (24 x 31556 x 89) hrs of correct clock.
= 90 hrs of correct clock.
So, the correct time is 11 p.m.
Answer:A
Answer: (A) 11pm
Question: 7 speakers gathered to deliver speeches on two topics. Even though 7 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?
(A) 2
(B) 49
(C) 50
(D) 47
(E) 1024
Rationale: 1)there are 7 speeches in ONE topic and 7 in OTHER..
2)there is a specific order for topics, so
a) both the topics are to be spoken on- so ONE from each
b) the order does not matter since there is ONLY one specific order..
so 7C1∗7C1=7∗7=49
ANSWER:B
Answer: (B) 49
Question: Bill is golfing with two friends and can either buy generic golf tees that are packaged by the dozen or the higher quality Aero flight tees that come by the pair. What is the minimum number of packages of Aero flight tees Bill must purchase to ensure that he has at least 10 golf tees for each member of his foursome, if he will buy no more than 2 packages of the generic golf tees?
(A) 3
(B) 10
(C) 8
(D) 4
(E) 2
Rationale: At least 10 golf tees for each member of his threesome = total of at least 3*10 = 30 tees.
2 packages of the generic golf tees, that are packaged by the dozen = 2*12 = 24 tees.
So, Bill must by at least 6 Aero tees. They come by the pair, hence he must by at least 6/2 = 3 packages of Aero flight tees.
Answer: A
Answer: (A) 3
Question: What is the selling price of a car? cost of car is Rs 60 & profit 10% profit over selling price
(A) 63
(B) 64
(C) 65
(D) 66
(E) 67
Rationale: sp=1.1*60=66
ANSWER:D
Answer: (D) 66
Question: Two unbiased coins are tossed. Find the probability of getting at most one head?
(A) 1/2
(B) 3/4
(C) 2/5
(D) 2/3
(E) 1/4
Rationale: S = {HH,HT,TH,TT}
E = Event of getting at most one head
E = {TT,HT,TH}
P(E) = 3/4
Answer is B
Answer: (B) 3/4
Question: Compound interest of Rs.5000 at 10% per annum for 1 1/2years will be (interest compounded half yearly).
(A) Rs.473
(B) Rs.374
(C) Rs.495
(D) Rs.788
(E) None of the above
Rationale: 10% interest per annum will be 5% interest half yearly for 3 terms( 1 1/2 years)
So compound interest=5000[1+(5/100)]^3 - 5000=5000[(21/20)^3 -1]
=5000(9261-8000)/8000
=5*1261/8
=788
ANSWER:D
Answer: (D) Rs.788
Question: An airplane flies against the wind from A to B in 8 hours. The same airplane returns from B to A, in the same direction as the wind, in 7 hours. Find the ratio of the speed of the airplane (in still air) to the speed of the wind.
(A) 5
(B) 10
(C) 15
(D) 20
(E) 25
Rationale: Let x = speed of airplane in still air, y = speed of wind and D the distance between A and B. Find the ratio x / y
Against the wind: D = 8(x - y), with the wind: D = 7(x + y)
8x - 8y = 7x + 7y, hence x / y = 15
correct answer C
Answer: (C) 15
Question: A contractor undertakes to complete the construction of a tunnel 720 meters long in 240 days and employs 60 men for the purpose. After 120 days, he finds that only 240 meters of the tunnel is complete. How many more men should be employ in order to complete the work in time?
(A) 76 men
(B) 60 men
(C) 78 men
(D) 87 men
(E) 75 men
Rationale: In 120days, only 240m of the tunnel is constructed by 60 men.
The remaining 120days, 480m of the tunnel can be constructed by 120 men.
Additional number of men required
= 120 - 60
= 60 men.
Answer: B
Answer: (B) 60 men
Question: The length of the bridge, which a train 130 metres long and travelling at 36 km/hr can cross in 45 seconds, is:
(A) 320 m
(B) 225 m
(C) 245 m
(D) 250 m
(E) 240 m
Rationale: Speed = [36X 5/18] m/sec = 10 m/sec
Time = 45 sec
Let the length of bridge be x metres.
Then, (130 + x)/45 = 10 => 130 + x = 450 => x = 320 m.
ANSWER:A
Answer: (A) 320 m
Question: Which of the following is equal to the value of 2^7 + 2^7 + 3^7 + 3^7 + 3^7 ?
(A) 2^8 + 3^8
(B) 2^6 + 3^8
(C) 2^8 + 3^6
(D) 2^9 + 3^9
(E) 2^5 + 3^5
Rationale: 2^7 + 2^7 + 3^7 + 3^7 + 3^7
= 2 (2^7) + 3 (3^7)
= 2^1 (2^7) + 3^1 (3^7)
= 2^(1+7) + 3^(1+7)
= 2^8 + 3^8
Ans: A
Answer: (A) 2^8 + 3^8