divelab/Sys2Bench huggingface dataset:
Question: A man goes to work daily. Everyday his wife picks him from railway station at 6 o'clock. One day, he left office early and reached the station at 5 o'clock. So, he started walking home. On the way, he met his wife, and they returned together in the car. They reached home ten minutes earlier than usual time. How much time did the man walk?
Options:
A)50 minutes.
B)55 minutes.
C)54 minutes.
D)52 minutes.
E)45 minutes.
Rationale: the man leaves office 1 hr means 60 minute early..wife and man save 10 minutes..so if wife does not meat his husband then she has to go (10/2)=5 minutes more..so husband walk for(60-5)=55 minutes.
ANSWER:B
Answer: B
Question: Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 222 marks in the second test and failed by 39 marks in that test. Find the pass mark in the first test?
Options:
A)768
B)232
C)246
D)625
E)224
Rationale: Let the maximum mark in each test be M.
The candidate failed by 36 marks in the second test.
pass mark in the second test = 222 + 39 = 252
45/100 M = 261
Pass mark in the first test = 40/100 M = 40/45 * 261 = 232
Answer:B
Answer: B
Question: The speed of a boat in upstream is 50 kmph and the speed of the boat downstream is 60 kmph. Find the speed of the boat in still water and the speed of the stream?
Options:
A)5 kmph
B)4 kmph
C)9 kmph
D)8 kmph
E)6 kmph
Rationale: Speed of the boat in still water = (50+60)/2 = 55 kmph. Speed of the stream
= (60-50)/2
= 5 kmph.
Answer:A
Answer: A
Question: Calculate how many days it will take for 5 boys to paint a 65 m long wall if 2 boys can paint a 40 m long wall in 4 days,
Options:
A)2.6 days
B)3.6 days
C)5.6 days
D)6 days
E)2 days
Rationale: The length of wall painted by one boy in one day = 40 / 2 * 1/4 = 5 m
No. of days required to paint 50 m cloth by 8 boys = 65/ 5 *1/ 5 = 2.6 days.
A
Answer: A
Question: What is the least value of x, So that 2x5478 is divisible by 9
Options:
A)7
B)8
C)9
D)1
E)2
Rationale: Explanation:
The sum of the digits of the number is divisible by 9.
Then the number is divisible by 9.
2 + x + 5 + 4 + 7 + 8 = 26 + x
Least value of x may be '1',
So that the total 26 + 1 = 27
is divisible by 9.
Answer: Option D
Answer: D
Question: Tom is 12 years older than his sister, Amy. He is also four times her age. How olx is Tom?
Options:
A)14 years
B)15 years
C)16 years
D)17 years
E)18 years
Rationale: Amy's age is x.
Tom is 12 years older than her, so his age is x+12. He is also, however, 4 times his sister's age, so his age is also 4x.
x+12=4x
3x=12
x=4
This means Amy is 4 years old. If Tom is 12 years older, or 4 times her age, this means he is 16 years old.
ANSWER: C
Answer: C
Question: In an exam, students need to answer 120 multiple choice questions. If the question paper is divided into 10 sections, how many questions are there in a section?
Options:
A)6
B)12
C)10
D)4
E)50
Rationale: 120 questions divided into 10 sections means each section containing 120/10=12 questions. Answer B.
Answer: B
Question: Sameer spends 40% of his salary on food articles and 1/3rdof the remaining on transport. If he saves Rs.450 per month which is half of the balance after spending on food items and transport, what is his monthly salary?
Options:
A)Rs.1125
B)Rs.2250
C)Rs.2500
D)Rs.4500
E)None
Rationale: Explanation:
Suppose, salary = Rs.100
Expenditure on food = Rs.40
Balance = Rs.60
Expenditure on transport
= 1/3×60=Rs.20
Now balance = Rs.40
Saving = Rs.20
If saving is 20, salary = Rs.100
If saving is 450,
salary = Rs.(100/20×450)=Rs.2250
Correct Option: B
Answer: B
Question: A house wife saved $2.75 in buying an item on sale. If she spent $20 for the item, approximately how much percent she saved in the transaction?
Options:
A)8%
B)9%
C)10%
D)11%
E)12%
Rationale: Actual price = 20+2.75 = $22.75
Saving = 2.75/22.75 * 100 = 12% approximately
Answer is E
Answer: E
Question: Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 10 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?
Options:
A)R-4
B)R/(R+4)
C)R/(R-8)
D)8/(R-20)
E)2R - 4
Rationale: Let T be the time thatAlexwill have been walking when Brenda has covered twice as much distance as Alex.
In T hours Alex will cover 4T miles;
Since Brenda begins her journey 1 hour later than Alex then total time for her will be T-1 hours, and the distance covered in that time will be R(T-1);
We want the distance covered by Brenda to be twice as much as that of Alex: 2*10T=R(T-1) --> 20T=RT-R --> T=R/(R-20).
Answer: C.
Answer: C
Question: What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
Options:
A)1
B)2
C)3
D)5
E)6
Rationale: (1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2
B
Answer: B
Question: if a2+b2=177and ab=54 then find the value of a+b/a-b?
Options:
A)5
B)15
C)6
D)3
E)7
Rationale: (a+b)2=a2+b2+2ab=117+2*24=225
a+b=15
(a-b)2=a2+b2-2ab=117-2*54
a-b=3
a+b/a-b=15/3=5
ANSWER A 5
Answer: A
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
Options:
A)134
B)145
C)166
D)150
E)170
Rationale: 28=23+5
57=29+28
88=31+57
125=37+88
166=41+125
=166
C
Answer: C
Question: At a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint.Verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint.How many liters of yellow paint must be added to 21 liters of forest green to change it to Verdant green?
Options:
A)1/3
B)7
C)1/2
D)1/7
E)1/8
Rationale: 21 liter of Forset green have 12 liter of blue and 9 liter of yellow
Suppose we add x liter of yellow to make it a verdant green so the ratio of blue to yellow in verdant green is ¾ so the equation is
Blue/yellow =12/(9+x) = ¾
27+3x=48 => x =7
Answer : B
Answer: B
Question: A certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 6 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
Options:
A)15%
B)20%
C)25%
D)30%
E)40%
Rationale: Total time for travelling 80 miles @ 60 mph = 80/60 = 4/3 hour = 80 minutes.
Given, the car uses 1 gallon for every 40 minutes of driving @ 60 mph. Thus in 80 minutes it will use = 2 gallons. Thus, full tank = 2+6 = 8 gallons ---> 2/8 = 25% of the fuel used. C is the correct answer.
Answer: C
Question: If mn > 0, which of the following must be negative?
Options:
A)m/n
B)mn
C)m+n
D)2m+n
E)-m * n
Rationale: - * + = -
Answer : E
Answer: E
Question: Sourav walks 20 meters towards North. He then turns left and walks 40 meters. He again turns left and walks 20 meters. Further, he moves 20 meters after turning to
right. How far is he from his original position?
Options:
A)87
B)66
C)60
D)27
E)22
Rationale: Explanation:
No explanation is available for this question!
ANSWER: C
Answer: C
Question: A set of numbers has the property that for any number t in the set, t + 1 is in the set. If -1 is in the set, which of the following must also be in the set?
I. 3
II. 1
III. 5
Options:
A) I only
B) II only
C) I and II only
D) II and III only
E) I, II, and III
Rationale: The question is which of the followingmustbe in the set, notcouldbe in the set.
If -1 is in the set so must be -1+1=0, as 0 is in the set so must be 0+1=1, as 1 is in the set so must be 1+1=2 and so on. So basically knowing that -1 is in the set we can say that ALL numbers more than -1 are also in the set.
Answer: E.
Answer: E
Question: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Options:
A)9
B)8
C)5
D)5
E)4
Rationale: 1 to 9 = 9 * 9 = 81
1 to 5 = 5 * 10 = 50
5 to 9 = 5 * 8 = 40
5th = 50 + 40 = 90 – 81 = 9
Answer:A
Answer: A
Question: Machines P and Q are two different machines that cover jars in a factory. When Machine P works alone, it covers 1500 jars in m hours. When Machines P and Q work simultaneously at their respective rates, they cover 1500 jars in n hours. In terms of m and n, how many hours does it take Machine Q, working alone at its constant rate, to cover 1500 jars?
Options:
A)m/(m + n)
B)n/(m + n)
C)mn/(m + n)
D)mn/(m – n)
E)mn/(n – m)
Rationale: “Machines P and Q are two different machines that cover jars in a factory. When Machine P works alone, it covers 1500 jars in m hours. When Machines P and Q work simultaneously at their respective rates, they cover 1500 jars in n hours. In terms of m and n, how many hours does it take Machine Q, working alone at its constant rate, to cover 1500 jars? ”
Since the number “1500 jars” appears over and over, let’s arbitrarily say 1500 jars = 1 lot, and we’ll use units of lots per hour to simplify our calculations.
P’s individual rate is (1 lot)/(m hours) = 1/m. The combined rate of P & Q is (1 lot)/(n hours) = 1/n. We know
(P’s rate alone) + (Q’s rate alone) = (P and Q’s combined rate)
(Q’s rate alone) = (P and Q’s combined rate) – (P’s rate alone)
(Q’s rate alone) = 1/n – 1/m = m/ (nm) – n/ (nm) = (m – n)/(nm)
We now know Q’s rate, and we want the amount of 1 lot, so we use the “art” equation.
1 = [(m – n)/ (nm)]*T
T = (mn)/(m – n)
Answer = D
Answer: D
Question: If 2x/|y| = -16 which of the following must be true?
Options:
A)x = -y
B)x = y
C)x^2 =64 * y^2
D)x^2 = y^2
E)x^3 = y^3
Rationale: 2x/|y| = -16
2x= -16 |y|
Squaring both sides
4*x^2= (-16 |y|) ^2=256* y^2
x^2 = 64 * y^2
C is the answer
Answer: C
Question: The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m.What is the area of the field?
Options:
A)32999
B)37500
C)37199
D)37512
E)37511
Rationale: Let length = x meters, then breadth = 0.6x
Given that perimeter = 800 meters
=> 2[ x + 0.6x] = 800
=> x = 250 m
Length = 250m and breadth = 0.6 * 250 = 150m
Area = 250 * 150 = 37500
Answer: B
Answer: B
Question: Find the fourth proportion to 6,12,18
Options:
A)24
B)12
C)36
D)8
E)15
Rationale: Explanation:
6:12 :: 18:x
=> 6/12= 18/x
=> x = 18*12/6
=> x = 24
Answer:C
Answer: C
Question: A car takes 6 hours to cover a distance of 360 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Options:
A)60
B)50
C)40
D)70
E)65
Rationale: Time = 6
Distance = 360
3/2 of 6 hours = 6 * 3/2 = 9 Hours
Required speed = 360/9 = 40 Kmph
Answer C.
Answer: C
Question: Two trains start simultaneously from opposite ends of a 160-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 160-km trip in 5 hours. Train Y, travelling at a constant rate, completes the 160-km trip in 3 hours. How many kilometers had Train X traveled when it met Train Y?
Options:
A)56
B)58
C)60
D)62
E)64
Rationale: If the two trains cover a total distance D, then Train X travels (3/8)*D while Train Y travels (5/8)*D. If the trains travel 160 km to the meeting point, then Train X travels (3/8)*160 = 60 km. The answer is C.
Answer: C
Question: Set S consists of integers {1,2,3,4}. If two numbers are chosen from set S at random, what is the probability that the sum of 2 numbers is more than 6?
Options:
A)1/3
B)1/6
C)2/3
D)2/5
E)3/7
Rationale: Number of ways you can choose 2 from 4 = 4C2 = 6
E = event of getting the 2 numbers is more than 6 = (3,4) = 1
probability = 1/6
Answer is B
Answer: B
Question: What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?
Options:
A)2277
B)2987
C)2799
D)1277
E)9680
Rationale: A= P{1 + R/100}n
=> 8000{1 + 10/100}2 = Rs.9680
Answer: E
Answer: E
Question: One hour after Yolanda started walking from X to Y, a distance of 65 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 5 miles per hour and Bobâs was 7 miles per hour, how many miles had Bob walked when they met?
Options:
A)31
B)32
C)33
D)34
E)35
Rationale: Let t be the number of hours that Bob had walked when he met Yolanda. Then, when they met, Bob had walked 4t miles and Yolanda had walked 5(t + 1) miles. These distances must sum to 65 miles, so 7t + 5(t + 1) = 65, which may be solved for t as follows
7t + 5(t + 1) = 65
7t + 5t + 5 = 65
12t = 60
T = 5 (hours)
Therefore, Bob had walked 7t = 7(5) = 35 miles when they met. The best answer is E.
Answer: E
Question: The greatest possible length which can be used to measure exactly the length 3m ,6m 85cm, 8m 95 cm is?
Options:
A)25cm
B)101cm
C)5cm
D)42cm
E)35cm
Rationale: Required length = H.C.F of 300cm, 685cm, 895cm = 5cm
Answer is C
Answer: C
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 3 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Options:
A)179:2
B)178:3
C)179:1
D)179:54
E)179:45
Rationale: Quantity of alcohol in vessel P = 62.5/100 * 3 = 15/8 litres
Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres
Quantity of alcohol in the mixture formed = 15/8 + 7/2 = 43/8 = 5.375 litres
As 7 litres of mixture is formed, ratio of alcohol and water in the mixture formed = 5.375 : 1.625 = 179 : 54.
Answer:D
Answer: D
Question: The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Options:
A)46
B)99
C)8826
D)266
E)232
Rationale: Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 399 - 780 = 46.Answer: A
Answer: A
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Options:
A)120
B)882
C)662
D)4112
E)2322
Rationale: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.
Area of the triangle = 1/2 * 24 * 10 = 120 cm2
Answer: A
Answer: A
Question: An auto assembly plant performs six functions with each frame that arrives: add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. Once those six tasks are performed, each car goes to a separate building for finishing touches. If these tasks can be arranged along a linear assembly line in any order, except that the axles must be installed before the wheels can be added, how many W ways can the assembly line be arranged?
Options:
A)120
B)240
C)360
D)480
E)720
Rationale: C) 360
short way: there are 6C! ways to do the six tasks. Half will have wheels before axles and half will have axles before wheels. So we want W=6C!/2 -> 720/2 = 360
Answer: C
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 seconds. The speed of the train is?
Options:
A)36
B)50
C)88
D)66
E)22
Rationale: Speed of the train relative to man
= (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr
= 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
Question: A sum of money doubles itself at a compound interest in 15 years . In how may years it will become 8 times ??
Options:
A)30 years
B)40 years
C)45 years
D)50 years
E)60 years
Rationale: If the sum doubles (x2) in 15 years, then it to become 2*2*2 = 8 times as large it should double three times, so three 15 years time period are needed, which is 3*15 = 45 years.
Answer: C
Answer: C
Question: In a school there are 20 balls for every 200 players. If the school has 600 players, how many balls are required?
Options:
A)34
B)45
C)60
D)36
E)14
Rationale: 20/200=x/600
x=60
Answer is C
Answer: C
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Options:
A)150m
B)180m
C)159m
D)250m
E)152m
Rationale: Length of the train be ‘X’
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m
Answer:A
Answer: A
Question: A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
Options:
A)Rs.4
B)Rs.5
C)Rs.1
D)Rs.3
E)Rs.9
Rationale: 40*(40/100) = 16 --- 64
? --- 12 => Rs.3
Answer:D
Answer: D
Question: The compound ratio of 1:4, 3:2 and 4:5?
Options:
A)1:9
B)1:7
C)1:2
D)3:10
E)1:4
Rationale: 1/4 * 3/2 * 4/5
= 3/10
=3:10
Answer: D
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Options:
A)288
B)279
C)277
D)200
E)150
Rationale: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12
= 200 m
Answer: D
Answer: D
Question: if v,w,x,y,z are non negative integer, each less than 11,then how many distinct combinations(w,v,x,y,z) satisfy v(11^4)+w(11^3)+x(11^2)+y(11)+z=151001.
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: v(11^4)+w(11^3)+x(11^2)+y(11)+z=151001
151001/11 gives remainder 4.
v(11^4)+w(11^3)+x(11^2)+y(11) = 151001 - z
to make it divisible by 11, z should be 4..
as value of z cannot be any other number, we can form only on 1 distinct combination..
ANSWER:B
Answer: B
Question: If 9 is a factor of 2x, then which of the following may not be an integer?
Options:
A)6x/54 + 2x/3
B)(4x-18)/9
C)(2x+27)/9
D)(81-4x^2)/81
E)(2x-3)/3
Rationale: The questions provides that 2x is divisible by 9, so x is either a multiple of 9 or x = 9/2 = 4.5
If x = 4.5 then 6x/54 = (6*4.5)/ (6*9) = 1/2. Not an integer.
The answer is A.
Answer: A
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Options:
A)7 2 ½ kmph
B)2 8 ½ kmph
C)8 2 ½ kmph
D)2 2 ½ kmph
E)2 1 ½ kmph
Rationale: 100 --- 10 DS = 10
? ---- 1
75 ---- 15 US = 5
? ----- 1 S = (10 - 5)/2
= 2 2 ½ kmph
Answer: D
Answer: D
Question: A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 9% microphotonics; 14% home electronics; 10% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
Options:
A)108°
B)10°
C)18°
D)36°
E)52°
Rationale: 9% microphotonics;
14% home electronics;
10% food additives;
29% genetically modified microorganisms;
8% industrial lubricants;
100-(9+14+10+29+8)=30% basic astrophysics.
30% of 360° is 108°.
Answer: A.
Answer: A
Question: How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 35 percent alcohol?
Options:
A) 7/2
B) 300/13
C) 20/3
D) 8
E) 39/4
Rationale: 20% Alcohol solution means; in the 100 liter solution, 20 liters of solution is alcohol and 80 liters other solvents.
If we addxliters of alcohol to the solution, the solution becomes100+xliters and alcohol, which was 20 liters, becomes 20+x liters.
According to the statement;
20+x = 35% of (100+x)
OR
20+x=(100+x)7/20
400+20x=700+7x
13x=300
x=300/13
Ans:B
Answer: B
Question: 3,5,8,13,22,__
Options:
A)37
B)38
C)39
D)40
E)41
Rationale: 5=3*2-1
8=5*2-2
13=8*2-3
22=13*2-4
39=22*2-5
ANSWER:C
Answer: C
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Options:
A)3/8
B)3/2
C)3/6
D)3/1
E)3/7
Rationale: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y ==> x/y = 3/2.
Answer: B
Answer: B
Question: The size of a television screen is given as the length of the screen's diagonal. If the screens were flat, then the area of a square 19-inch screen would be how many square inches greater than the area of a square 17-inch screen?
Options:
A)36
B)4
C)16
D)38
E)40
Rationale: Pythogoras will help here!
let the sides be x and diagonal be d
Then d ^2 = 2x^2
and
Area = x^2
Now plug in the given diagonal values to find x values
and then subtract the areas
Ans will be 19^2/2 - 17^2 /2 = 72 /2 = 36
Ans A.
Answer: A
Question: The banker's gain of a certain sum due 3 years hence at 10% per annum is Rs. 36. What is the present worth ?
Options:
A)Rs. 400
B)Rs. 300
C)Rs. 500
D)Rs. 350
E)None of these
Rationale: Explanation :
T = 3 years
R = 10%
TD = (BG ×100)/TR = (36×100)/(3×10) = 12 × 10 = Rs. 120
TD = (PW × TR)/100
⇒ 120 = (PW ×3×10)/100
⇒ 1200 = PW × 3
PW = 1200/3 = Rs. 400 Answer : Option A
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Options:
A)12/459
B)12/452
C)12/455
D)22/452
E)12/453
Rationale: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
When three marbles are drawn, the probability that one is yellow and two are red
= (2C1)(4C2)/15C3
= (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13) = 12/455
Answer:C
Answer: C
Question: The cost price of a Rs. 100 stock at 4 discount, when brokerage is 1/5% is
Options:
A)96.0
B)96.5
C)96.2
D)96.8
E)96.6
Rationale: Cost Price = 100−4+1/5=96.2
Answer is C.
Answer: C
Question: If I, J and K are digits and 9IJK is a 4-digit number that is divisible by 5, which of the following is a possible product of I, J and K?
Options:
A)23
B)48
C)72
D)25
E)94
Rationale: Key to this question is to remember the fact that a number divisible by 5 must end with 5 OR 0 (i.e K).
If K had to be 0, product should also be 0 regardless of I and J.
The product is a multiple of 5. Only one answer choice meets the requirement.
Ans D.
Answer: D
Question: If 2/3 of A=75% of B=0.6 of C, then A:B:C is
Options:
A)2:3:3
B)3:4:5
C)4:5:6
D)9:8:10
E)None
Rationale: Solution: According to the question,
Or, (2A/3) = (75B/100) = (C*6/10);
Above relation gives;
A*2/3 = B*3/4;
→	A/B = 9/8;
And,
B*3/4 = C*3/5;
→	B/C = 8:10;
Thus,
A:B:C = 9:8:10.
Answer: Option D
Answer: D
Question: The average number of shirts with Salman, Ambani and Dalmiya is 54, if all of them reached a shopping mall in Delhi and purchased 8 shirts each of them then average number of shirt each of them now has
Options:
A)66
B)63
C)62
D)can't be determined
E)None of these
Rationale: Answer
Required average
= Old average + New average
= 54 + 8 = 62
Correct Option: C
Answer: C
Question: The product of Diana's age, in years, and a third of Rashid's age, in years, is 32. If Diana is 4 years older than Rashid is, then how old is Rashid ?
Options:
A)6
B)8
C)9
D)12
E)15
Rationale: Let D be Diana's age, in years, and Rashid's age be R
D*R/3 = 32
D = R+4
Now (R+4)R / 3 = 32 = > R^2+4R-96 => R = 8 or -12.
ANS option B.
Answer: B
Question: A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
Options:
A)3.75
B)4
C)2
D)8
E)7
Rationale: 1/6 + 1/10 = 8/30 = 4/15
15/4 = 3.75 days
ANSWER A
Answer: A
Question: Jack and Christina are standing 240 feet apart on a level surface. Their dog, Lindy, is standing next to Christina. At the same time, they all begin moving toward each other. Jack walks in a straight line toward Christina at a constant speed of 3 feet per second and Christina walks in a straight line toward Jack at a constant speed of 3 feet per second. Lindy runs at a constant speed of 10 feet per second from Christina to Jack, back to Christina, back to Jack, and so forth. What is the total distance, in feet, that Lindy has traveled when the three meet at one place?
Options:
A)340
B)360
C)380
D)400
E)420
Rationale: The relative speed of Jack and Christina is 3 + 3 = 6 feet per second.
The distance between them is 210 feet, hence they will meet in (time) = (distance)/(relative speed) = 240/6 = 40 seconds.
For all this time Lindy was running back and forth, so it covered (distance) = (speed)*(time) = 10*40 = 400 feet.
Answer: D.
Answer: D