mathewhe/aqua_rat huggingface dataset:
Question: A set of 11 positive integers has an average of 15. Which of the following is the greatest possible value for the median of this set?
(A) 26
(B) 30
(C) 36
(D) 45
(E) 46
Rationale: for the median to be max , we should take all the values below meadian to be the lowest and the remaining values to be the same..
here 1 is the lowest value(positive int) so the lowest 5 int will equal 5..
remaining 6= 15*11-5=160..
therefore each valueof these 6 int =160/6=26
ans A
Answer: (A) 26
Question: How many integers between 100 and 500 are there such that their unit digit is even?
(A) 100
(B) 120
(C) 200
(D) 50
(E) 150
Rationale: 400 numbers between - 100 and 400
Out of which half would be even, half odd.
Number of even unit digit number = 200.
correct option is C
Answer: (C) 200
Question: Which of the following fractions is not a terminating decimal?
(A) 2/3
(B) 3/4
(C) 4/5
(D) 7/8
(E) 9/10
Rationale: 2/3 = recurring fraction of 0.6666
3/4 = 0.75
4/5 = 0.80
7/8 = 0.875
9/10 = 0.90
Answer : A
Answer: (A) 2/3
Question: In a queue if 30 children were made to stand in a column, 16 columns could be formed. If 24 children were made to stand in a column, how many columns could be formed?
(A) 10
(B) 20
(C) 30
(D) 40
(E) 50
Rationale: Sol. Required number = 16 *^30 = 20
B
Answer: (B) 20
Question: How many different arrangements of A, B, C, D, E AND F are possible where A is not adjacent to B and D is not adjacent to E?
(A) 96
(B) 48
(C) 32
(D) 144
(E) 1
Rationale: So you have A,B,C,D,E,F
five possible ways to arrange it = 6! = 720
AB cannot be adjacents neither DE:
(AB),C,D,E,F = 5! =120 x 2(because it can be (AB) or (BA) ) = 240
A,B,C,(DE) = 5! = 120 x 2 = 240
To get rid of the double counting:
(AB),C,(DE),F = 4! x 4 = 96
(Four possible ways to arrange it)
720 -240-240+96 = 144 possible ways
D
Answer: (D) 144
Question: A class is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. Find the least number of square tiles of equal size required to cover the entire floor of the class room ?
(A) 115
(B) 117
(C) 116
(D) 114
(E) 112
Rationale: Explanation:
Length = 6 m 24 cm = 624 cm
Width = 4 m 32 cm = 432 cm
HCF of 624 and 432 = 48
Number of square tiles required = (624 x 432)/(48 x 48) = 13 x 9 = 117.
Answer IS B
Answer: (B) 117
Question: Due to construction, the speed limit along an 12-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
(A)  4
(B)  5
(C)  6
(D)  7
(E)  8
Rationale: 12/35 - 12/55 = 12/5 * ( 11 - 7)/77
= 12/5 * 4/77 * 60 min
= 12 * 12 * 4/77
= 576/77 ~ 7.4
Answer - D
Answer: (D)  7
Question: John works full-time, 40 hours a week, selling cars at the local auto mall. His sales quota for a week is $20,000. How much does John have to sell per hour to make his sales quota?
(A) 200
(B) 250
(C) 500
(D) 1000
(E) 700
Rationale: There are 40 hours in a work week. If his quota is $20,000, then we simply divide 40 by $20,000.
20,000 / 40 = 500.
Therefore, John has to sell at least $500 per hour to meet his weekly quota of $20,000.
Thus, the correct answer is C.
Answer: (C) 500
Question: Walking 7/8th of its usual speed a man is 6 minutes too late the usual time taken by him to cover that distance is?
(A) 15min
(B) 1hr 5 min
(C) 1hr 8 min
(D) 42min
(E) 52min
Rationale: need speed =7/8 of the used speed
new time= 8/7 of usual time
(8/7 of the usual time)- (usual time)=1/10hr
1/ 7 of the usual time=1/10
usual time =7/10=42 min
Answer(D)
Answer: (D) 42min
Question: how many 6 digits numbers have all their digits either all odd or all even?
(A) 27125
(B) 28125
(C) 29125
(D) 26125
(E) 25125
Rationale: With all even digits=4*5^5 (Even digits->0,2,4,6,8)
2 _ _ _ _ _ | 4 _ _ _ _ _ | 6 _ _ _ _ _ | 8 _ _ _ _ _ (the gaps can be filled by any of the no.s 0,2,4,6,8)
with all odd digitd=5*5^5
1 _ _ _ _ _| 3 _ _ _ _ _| 5 _ _ _ _ _| 7 _ _ _ _ _ |9 _ _ _ _ _ (The gaps can be filled with any of 1,3,5,7,9)
So, total number of 6digit no. with all digits odd or all even is:
(4*5^5)+(5*5^5)=12500+15625=28125
ANSWER:B
Answer: (B) 28125
Question: A, B and C entered into a partnership. A invested Rs. 2,560/- and B invested Rs. 1105/-, out of which A got Rs 320. C’s capital was
(A) Rs. 2840/-
(B) Rs. 4028/-
(C) Rs. 4280/-
(D) Rs.4820/-
(E) None of these
Rationale: Explanation:
Let A : B : C = 2560 : 2000 : x. Then,
A’s share = [1105 * 2560/(4560 + x)]
Therefore (1105 * 2560)/(4560+x) = 320 => 4560 + x = (1105 * 2560)/320 = 8840
= x = 8840 – 4560 = Rs. 4280/-
Hence, C’s capiatal Rs 4280/-
Answer: Option C
Answer: (C) Rs. 4280/-
Question: Five times the fifth term of an A.P is equal to six times the sixth term of the A.P, What is the value of the eleventh term?
(A) 1
(B) 5
(C) 0
(D) 2
(E) 3
Rationale: 5( a + 4d ) = 6 ( a + 5d ), 5a + 20d = 6a + 30d, a + 10d = 0,
i.e 11 th = 0
ANSWER:C
Answer: (C) 0
Question: How many 1/8s are there in 37 1/2?
(A) 300
(B) 400
(C) 500
(D) 600
(E) 700
Rationale: Required number = (75/2)/(1/8)
= (75/2 x 8/1)
= 300.
ANSWER:A
Answer: (A) 300
Question: During the first two weeks of January, the total rainfall in Springdale was 25 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall during the second week of January?
(A) 5 inches
(B) 6 inches
(C) 9 inches
(D) 10 inches
(E) 15 inches
Rationale: Total rainfall in 2 weeks = 25 inches.
Assume the rainfall in second week = 1.x
Rainfall in first week = x
Total rainfall = 2.5x =25 inches
x = 10 and 1.5x = 15
Rainfall during second week = 9 inches
Option E
Answer: (E) 15 inches
Question: The equation x = 2y^2 + 5y - 18, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at x = -5, the equation for l is
(A) 3x + y - 20 = 0
(B) y - 3x - 11 = 0
(C) -3x + y - 15 = 0
(D) -2x - y - 7 = 0
(E) -3x + y + 13.5 = 0
Rationale: The question is made to look difficult though it is pretty simple if you focus on just the line and use process of elimination. (Remember that GMAT does not focus on parabolas so basically, the question should be quite do-able even if someone doesn't know how to handle parabolas.)
The line has a point (-5, y) on it where y is positive (since the point lies in upper left quadrant).
In options B ,C D and E, if you put x = -5, you get -ve value for y co-ordinate. So ignore them.
Answer must be (A)
Answer: (A) 3x + y - 20 = 0
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 100 years now, the son's age five years back was:
(A) 45 years.
(B) 40 years.
(C) 30 years.
(D) 35 years.
(E) 50 years.
Rationale: Let the son's present age be x years. Then, (100 - x) = x
2x = 100.
x = 50.
Son's age 5 years back (50 - 5) = 45 years.
Answer: Option A
Answer: (A) 45 years.
Question: There are 8 magazines lying on a table; 4 are fashion magazines and the other 4 are sports magazines. If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazines will be selected?
(A) 1/2
(B) 2/3
(C) 32/35
(D) 11/12
(E) 13/14
Rationale: Total probability=8C3=56
4C3 +4C2*4C1+4C1*4C2=4+24+24=52
therefore the probability that at least one of the fashion magazines will be selected= 52/56=13/14
answer is E
Answer: (E) 13/14
Question: find the number of 6 digit numbers that can be formed using digits 1,2,3,4,5,6 once such that the 6digit number is divisible by its unit digit.
(A) 646
(B) 648
(C) 650
(D) 652
(E) 654
Rationale: There are 6 numbers which can be placed in units digits.
case 1: When the unit digit is 1,2,3,5,6 whatever the other numbers are the 6 digit number will be surely divisible by the unit digit.
Hence the 5 numbers in the units place can be placed in 5 ways and the remaining 5 numbers can be arranged in 5! ways.
5*5!=600 ways
Case 2: If the unit digit is 4, then the tens digit should be 2 or 6, hence 24 or 64 can be arranged in the last two places in 2 ways and the remaining 4 numbers can be arranged in 4 places in 4!ways.
2*4!=48 ways
Total no.of.ways= 600+48 = 648 ways.
ANSWER:B
Answer: (B) 648
Question: Health insurance Plan E requires the insured to pay $1000 or 50% of total cost, whichever is lower. Plan B requires the insured to pay the initial $300, but then pays 80% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount?
(A) $600
(B) $1000
(C) $3800
(D) $5300
(E) $6200
Rationale: 0.5 * 600 = 300 where E = B.
Answer: (B) $1000
Question: A man buys Rs. 60 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
(A) s. 12
(B) s. 15
(C) s. 18
(D) s. 21
(E) s. 45
Rationale: Dividend on Rs. 60 = Rs.	9/100	x 60 =Rs.	5.4	.
Rs. 12 is an income on Rs. 100.
Rs.	5.4	is an income on Rs.100/12 x 5.4	= Rs. 45.
Answer: Option E
Answer: (E) s. 45
Question: In the formula V = 1/(2r)^4, if r is halved, then V is multiplied by
(A) 8
(B) 64
(C) 1
(D) 1/8
(E) 2
Rationale: Say r=2 => V1 = 1/32
when r=1; V2 = 1/16
V2 = 2*V1.
Answer=E=2
Answer: (E) 2
Question: Select the non termination decimal among the following.
(A) 5/3
(B) 3/4
(C) 4/5
(D) 7/8
(E) 9/10
Rationale: A. Non terminating decimal means that 5/3 = 1.66666 and so on.
Answer: (A) 5/3
Question: 36, 34, 30, 28, 24, 22, 18, ?
(A) 16
(B) 14
(C) 12
(D) 10
(E) 8
Rationale: This is an alternating number subtraction series. The pattern is -2, -4, -2, ....
The answer is A.
Answer: (A) 16
Question: The ratio of the areas of two squares, one having double its diagonal then the other is:
(A) 2:1
(B) 1:2
(C) 2:3
(D) 1:4
(E) 4:1
Rationale: Lenth of the diagonals be 2x and x units.
areas are 1/2 × (2x)power2 and (1/2 × (xpower2))
Required ratio = 1/2 × 4 x2 : 1/2 x2 = 4 : 1
Answer is E.
Answer: (E) 4:1
Question: Annika hikes at a constant rate of 10 minutes per kilometer. She has hiked 2.5 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 45 minutes. If Annika continues east, then turns around and retraces her path to reach the start of the trail in exactly 45 minutes, for how many kilometers total did she hike east?
(A) 3.625
(B) 3.5
(C) 4
(D) 4.5
(E) 5
Rationale: Set up two R x T =D cases.
1. 1/10 km/ min x T = 2.5
from which T= 25 mins.
We know total journey time now is 45 +25 = 70
The rate is the same ie 1/10km/min.
set up second R x T =D case.
1/10 km/min x 70 = 7 km
Now the total journey would be halved as distance would be same in each direction. 7/2 =3.5
B.
Answer: (B) 3.5
Question: What is the probability that a number selected from numbers 1,2,3,...,30, is prime number, when each of the given numbers is equally likely to be selected?
(A) 1011
(B) 1041
(C) 9018
(D) 1030
(E) 1020
Rationale: X={2,3,5,7,11,13,17,19,23,29}X={2,3,5,7,11,13,17,19,23,29}
n(X)=10,n(S)=30
Hence required probability,
=n(X)n(S)
=1030
D
Answer: (D) 1030
Question: Find the unit's digit in 264^102 + 264^103
(A) zero 0
(B) 1
(C) 2
(D) 4
(E) 5
Rationale: Required unit's digit = unit's digit in 4102+4103.4102+4103.
Now, 4242 gives unit digit 6.
⇒ 41024102 gives unit digit 6.
⇒ 41034103 gives unit digit of the product 6×46×4 i.e., 4.
Hence, unit's digit in 264102 +264103264102+264103
= unit's digit in (6+4)=0
A
Answer: (A) zero 0
Question: For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 181 books with me to gift her.
Can you calculate, on which day is our anniversary?
(A) 31
(B) 18
(C) 23
(D) 33
(E) 25
Rationale: B
18rd day
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 = 181
Thus our anniversary falls on the 18rd day of the month.
You can apply other formulas to shorten the process but that is the simplest way to do it.
Answer: (B) 18
Question: An agent, gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets Rs. 15 as commission, the cloth sold through him on that day is worth
(A) 333
(B) 600
(C) 887
(D) 299
(E) 132
Rationale: Explanation:
Let the total sale be Rs. x.
Then, 2.5%. of x = 15 <=> (25/10 * 1/100 * x) = 15 <=> x = 600.
Answer: B)
Answer: (B) 600
Question: On a partly rainy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction of the total distance did he cover while the sun was shining on him?
(A) 1/7
(B) 1/4
(C) 1/3
(D) 1/2
(E) 1
Rationale: If s is an integer and we know that the average speed is 2.8, s must be = 2. That meanss+1= 3. This implies that the ratio of time for s=2 is 1/4 of the total time. The formula for distance/rate is D=Rt...so the distance travelled when s=2 is 2t. The distance travelled for s+1=3 is 3*4t or 12t. Therefore, total distance covered while the sun was shining over him is 2/14 = 1/7. Answer: A
Answer: (A) 1/7
Question: If a mixture is 2⁄7 alcohol by volume and 3⁄7 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture?
(A) 3
(B) 1/3
(C) 2/3
(D) 3/5
(E) 4/5
Rationale: Should be a sub-600 level Q..
volume= {2/7}/{3/7}=2/3
C
Answer: (C) 2/3
Question: A cyclist covers a distance of 750 meter in 3 minutes 30 seconds. What is the speed in km/hr of cyclist
(A) 16 km/hr
(B) 17 km/hr
(C) 18 km/hr
(D) 19 km/hr
(E) 135 km/hr
Rationale: Explanation:
Speed=Distance/Time
Distance=750meter
Time=3 min 30sec=210sec
Speed=750/210=37.5m/sec
=>37.5âˆ—18/5km/hr=135km/hr
Option E
Answer: (E) 135 km/hr
Question: How many four-digit numbers that do not contain the digits 2, 3, 4, 5, 6, or 7 are there?
(A) 168
(B) 176
(C) 184
(D) 192
(E) 200
Rationale: The 1st digit can be filled up by the numbers: {1,8,9} = 3 ways
The 2nd digit can be filled up by the numbers: {0,1,8,9} = 4 ways
The 3rd digit can be filled up by the numbers: {0,1,8,9} = 4 ways
The 4th digit can be filled up by the numbers: {0,1,8,9} = 4 ways
The total number of such four-digit numbers is 3*4*4*4 = 192
The answer is D.
Answer: (D) 192
Question: A, B and C enter into a partnership. They invest Rs. 50,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years?
(A) 12 : 3 : 4
(B) 13 : 2 : 4
(C) 13: 2 : 1
(D) 15: 16 : 28
(E) none
Rationale: Sol.
A : B : C = (50000 * 36) : (80000 * 12 + 40000 * 24)
: (120000 * 24 + 40000 * 12) =180 : 192 : 336 = 15: 16 : 28
Answer D
Answer: (D) 15: 16 : 28
Question: What is the leastvalue of x. So that 23x57 is divisible by 3?
(A) 3
(B) 4
(C) 1
(D) 5
(E) 6
Rationale: The sum of the digits of the number is divisible by 3, then the number is divisible by3.
2 + 3 + x + 5 + 7 = 17 + x
Least value of x may be 1
Therefore 17 + 1 = 18 is divisible by 3.
C
Answer: (C) 1
Question: If |4x+14| = 46, what is the sum of all the possible values of x?
(A) 2
(B) -7
(C) 4
(D) -5
(E) 6
Rationale: There will be two cases
4x+14= 46 or 4x+14 = -46
=> x =8 or x= -15
sum of both the values will be -15 +8 = -7
Answer is B
Answer: (B) -7
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
(A) 288
(B) 270
(C) 287
(D) 209
(E) 271
Rationale: I = (500*9*6)/100 = 270
Answer: B
Answer: (B) 270
Question: A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
(A) 22
(B) 20
(C) 99
(D) 77
(E) 655
Rationale: x ------- 9
(x + 10) ---- 6
x * 9 = (x + 10)6
x = 20
Answer:B
Answer: (B) 20
Question: A box contains ten light out of which 5 are defective. If five light are chosen at random, find the probability that all the five light are defective?
(A) 2/523
(B) 3/253
(C) 5/126
(D) 3/252
(E) 1/252
Rationale: Out of nine light , five are good and four are defective.
Required probability = 5C5/10C5 = 1/252
E
Answer: (E) 1/252
Question: 11 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books of each type?
(A) 80
(B) 160
(C) 720
(D) 1100
(E) 1540
Rationale: No. of ways of picking 2 biology books(from 11 books) = 11c2 = (11*10)/2 = 55
No. of ways of picking 2 chemistry books(from 8 books) = 8c2 = (8*7)/2 = 28
Total ways of picking 2 books of each type = 55*28 =1540
(Option E)
Answer: (E) 1540
Question: A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance is?
(A) 6 km
(B) 3 km
(C) 7 km
(D) 9 km
(E) 2 km
Rationale: Let the total distance be 3x km.
Then, x/3 + x/4 + x/5 = 47/60
47x/60 = 47/60 => x = 1.
Total distance = 3 * 1 = 3 km.
Answer:B
Answer: (B) 3 km
Question: Look at this series: -2, 0, 2, 4,... What number should come next?
(A) 6
(B) 12
(C) 8
(D) 9
(E) 10
Rationale: Explanation: This is a simple addition series; each number is added by 2 to the previous number. In other terms to say, the number is added by 2 successively to get the next result.
-4+2 = -2
-2+2 = 0
0+2 = 2
2+2 = 4
4+2 = 6 and so on.
Answer: Option A
Answer: (A) 6
Question: Dhoni decides to attend a tennis game with four friends. If the party of five sits together in five consecutive seats, and Dhoni must NOT sit in between two of his friends, how many ways can the five friends be arranged?
(A) 6
(B) 48
(C) 36
(D) 24
(E) 12
Rationale: Dhoni have to sit at either of the ends.
If Dhoni sits on the left most corner, then other 5 friends can be arranged in 4! = 24
David can also sit on the other end, then another 4! ways we can arrange.
So total number of ways = 24+24 = 48
Answer : B
Answer: (B) 48
Question: Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 20% Vermouth by volume. How many ounces of Gin must he add?
(A) n/6
(B) n/3
(C) 3n/5
(D) 5n/6
(E) 8n/5
Rationale: 4 ounces is vermouth
6 ounces of gin...
Total volume 10.
To make vermouth account for 20% of total volume the new volume must be....
x*0.2=4
x=20 ounces....
So now you see that he must add 10 ounces of gin...
Plug in 12 for n in the answer choices and look for answer 10
D
Answer: (D) 5n/6
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.90 less, he could have gained 25%. What is the cost price?
(A) 372
(B) 375
(C) 278
(D) 267
(E) 450
Rationale: CP1 = 100 SP1 = 120
CP2 = 80 SP2 = 80 * (125/100) = 100
20 ----- 100
90 ----- ? => 450
Answer:E
Answer: (E) 450
Question: Surekha started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajesh joined him with an amount of Rs. 35,000. In 2001, Surekha invested another additional amount of Rs.10,000 and Jay joined them with an amount of Rs.35,000. What will be Rajesh's share in the profit of Rs.1,50,000 earned at the end of 3 years from the start of the business in 1999?
(A) Rs 45000
(B) Rs 50000
(C) Rs 70000
(D) Rs 75000
(E) None
Rationale: Surekha:Rajesh:Jay= (25000×12+35000×12+45000×12):(35000×24) : (35000×12) = 1260000 : 840000 : 420000 = 3 : 2 : 1. Rajesh's share =Rs.(150000×2/6) = Rs.50000.
Answer B
Answer: (B) Rs 50000
Question: A basketball team scored x points per game in its first n games of the season, and in all the following games it scored an average (arithmetic mean) of y points per game. What was the average number of points per game in its first n + 5 games?
(A) x + 3y/(n + 3)
(B) x + y/(n + 3)
(C) (x + 3y)/(n + 3)
(D) (nx + 3y)/(n + 5)
(E) (3x + ny)/(n + 3)
Rationale: Total points in first n games = nx
Total marks in next 3 games is 3y
So, Average marks in n + 5 games = (nx+3y)/(n+5)
Hence, correct answer will be (D)
Answer: (D) (nx + 3y)/(n + 5)
Question: How many 4-digit no's that are divisible by 10 can be formed from the no.'s 3, 5, 7, 8, 9, 0 such that no no. repeats?
(A) 20
(B) 30
(C) 60
(D) 70
(E) 90
Rationale: If a number is divisible by 10, its units place should contain a 0.
_ _ _ 0
After 0 is placed in the units place, the tens place can be filled with any of the other 5 digits.
Selecting one digit out of 5 digits can be done in 5C1 = 5 ways.
After filling the tens place, we are left with 4 digits. Selecting 1 digit out of 4 digits can be done in 4C1 = 4 ways.
After filling the hundreds place, the thousands place can be filled in 3C1 = 3 ways.
Therefore, the total combinations possible = 5*4*3 = 60.
C
Answer: (C) 60
Question: The "Racing magic" takes 120 seconds to circle the racing track once. The "Charging bull" makes 40 rounds of the track in an hour. If they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?
(A) 3
(B) 6
(C) 9
(D) 12
(E) 15
Rationale: Time taken by Racing magic to make one circle = 120 seconds = 2 mins
Time taken by "Charging bull" to make one circle = 60 mins / 40 = 1.5 mins = 90 seconds
LCM of 90 and 120 seconds = 360 seconds = 6 mins
Time taken for them to meet at the starting point for the second time = 6 mins *2 = 12 mins
Answer D
Answer: (D) 12
Question: Find value of x
(11^2 + 12^2 + 13^2 + ... + 20^2) = x
(A) 1200
(B) 1340
(C) 1234
(D) 1203
(E) 2485
Rationale: (11^2 + 12^2 + 13^2 + ... + 20^2) = (1^2 + 2^2 + 3^2 + ... + 20^2) - (1^2 + 2^2 + 3^2 + ... + 10^2)
6
= 20 x 21 x 41	-	10 x 11 x 21
6	6
= (2870 - 385)
= 2485
E
Answer: (E) 2485
Question: A certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts, by weight. What is the number of pounds of almonds in 350 pounds of the mixture ?
(A)  250
(B)  84
(C)  40
(D)  28
(E)  20
Rationale: Almonds : Walnuts = 5 : 2
Total mixture has 7 parts
In a 350 pound mixture, Almonds are 5/7 (total mixture)
= 5/7 * 350 = 250 pounds
Answer (A)
Answer: (A)  250
Question: A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $90 to incur a loss 20%?
(A) 45
(B) 36
(C) 40
(D) 50
(E) 48
Rationale: Production cost per article: $60*(100%-20%) / 20 = $2.40
Required production costs for a loss of 20%: $90*(100% + 20%) = $108
Number of articles to be sold for $108 to incur a 20% loss: $108 / $2.40 = 45
Thus, solution A is correct.
Answer: (A) 45
Question: Two vessels contains equal number of mixtures milk and water in the ratio 5:2 and 6:1. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?
(A) 1:3
(B) 9:13
(C) 5:11
(D) 11:3
(E) 15:4
Rationale: The ratio of milk and water in the new vessel is = (5/7 + 6/7) : (2/7 + 1/7)
= 11/7 : 3/7 = 11:3
Answer is D
Answer: (D) 11:3
Question: A man can row upstream at 7 kmph and downstream at 10 kmph.Find man's rate in still water and the rate of current?
(A) 1.2 km/hr
(B) 1.5 km/hr
(C) 1.6 km/hr
(D) 1.8 km/hr
(E) None
Rationale: Solution
Rate in still water	= 1 / 2 (10 + 7) km/hr
= 8.5 km/hr.
Rate of current	= 1 / 2(10 - 7) km/hr
= 1.5 km/hr.
Answer B
Answer: (B) 1.5 km/hr
Question: The sum of two number is 25 and their difference is 13. Find their product.
(A) 104
(B) 114
(C) 315
(D) 325
(E) None
Rationale: EXPLANATION
Let the numbers be x and y.
Then, x + y = 25 and x – y = 13.
4xy = (x + y)2 – (x– y)2
= (25)2 – (13)2
= (625 – 169)
= 456
xy = 114.
Answer B
Answer: (B) 114
Question: Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
(A) 10
(B) 88
(C) 267
(D) 28
(E) 21
Rationale: Let the time taken to cover from A to B in car and cycle be x hours and y hours respectively.
x + y = 7 --- (1) ; 2x = 4 --- (2)
solving both the equations, we get y = 5
So, time taken to cover both ways by cycle = 2y hours = 10 hours.
Answer: A
Answer: (A) 10
Question: The present worth of a sum due sometimes hence is Rs.5760 and the banker's gain is Rs.10. What is the true discount?
(A) Rs. 480
(B) Rs. 420
(C) Rs. 120
(D) Rs. 240
(E) Rs. 260
Rationale: Explanation:
TD = √PW × BG=√5760×10=√57600 = Rs. 240
Answer: Option D
Answer: (D) Rs. 240