divelab/Sys2Bench huggingface dataset:
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 750 grams per kg, what is his percent?
Options:
A)11
B)33
C)77
D)88
E)11
Rationale: 750 --- 250
100 --- ? => 33%
Answer:B
Answer: B
Question: In a single throw of a die, what is the probability of getting a number greater than 4?
Options:
A)1/2
B)1/3
C)2/3
D)1/4
E)1/5
Rationale: When a die is thrown we have S = {1,2,3,4,5,6}
Let E = event of getting a number greater than 4 = {5,6}
P(E) = n(E)/n(S) = 2/6 = 1/3.
Answer B.
Answer: B
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.21000. A's share is?
Options:
A)s.7000
B)s.7200
C)s.6000
D)s.5750
E)s.6750
Rationale: x* 12 : 2x* 6: 3x* 4
1:1:1
1/3 * 21000 = 7000
ANSWER:A
Answer: A
Question: Three numbers are such that the second is as much
lesser than the third as the first is lesser than
the second. If the product of the two smaller numbers
is 85 and the product of two larger numbers is 115.
Find the middle number?
Options:
A)10
B)12
C)14
D)16
E)18
Rationale: Let the three numbers be x,y,z
2y = x+z.....................1
Given that the product of two smaller numbers is 85
x y = 85................2
Given that the product of two larger numbers is 115
y z = 115...............3
Dividing 2 and 3 x y /y z = 85/115
x / z = 17 / 23
From 1
2y = x+z
2y = 85/y + 115/y
2y2 = 200
y2 = 100
y = 10
ANSWER A
Answer: A
Question: 65% of x = 20% of 617.50. Find the value of x?
Options:
A)100
B)190
C)150
D)180
E)199
Rationale: 65% of x = 20% of 615.50
Then, 65/100 * x = 20/100 * 6175/10
x = 190
Answer is B
Answer: B
Question: How many subset of the Fruit set of Banana, Apple, Orange, Grape and Lemon does not contain Apple?
Options:
A)17
B)16
C)15
D)14
E)18
Rationale: This is a combination solution
Since we have 4 different kinds of fruits other than Apple we can take any fruit from the set of 4 to make a subset.
4C1 +4C2 + 4C3 + 4C4 = 15
Plus the one set that is null that is the Set having no element in it which is 4C0 =1
= 15 + 1 = 16
B = 16
Answer: B
Question: An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62
sec. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest, is
Options:
A)10:28 am
B)10:30 am
C)10:31 am
D)10:37 am
E)None of above
Rationale: Explanation:
L.C.M. of 60 and 62 seconds is 1860 seconds
1860/60 = 31 minutes
They will beep together at 10:31 a.m.
Sometimes questions on red lights blinking comes in exam, which can be solved in the same way
Answer: Option C
Answer: C
Question: Simplify: 9948/49 * 245.
Options:
A)24495
B)23395
C)22225
D)22115
E)None of them
Rationale: Given expression = (100-1/49) * 245=(4899/49) * 245 = 4899 * 5=24495.
Answer is A.
Answer: A
Question: The sides of a rectangular region measured to the nearest centimeter are 8 cm and 4 cm. Out of the following which is the largest possible value of actual area of rectangle ?
Options:
A)48
B)35.25
C)52.29
D)44
E)41.25
Rationale: acan be anywhere between 7.5 and 8.4 andbcan be anywhere between 3.5 and 4.4.
Hence max area can be 8.4*4.4 eq 36.96.
largest value which is near to 36.96 is 35.25.
Hence B.
Answer: B
Question: The sum of two numbers is 36. Four times one number is equal to 5 times the other. The bigger of the two numbers is
Options:
A)20
B)12
C)14
D)15
E)60
Rationale: a:b 4:5
a+b=36
4x+5x=36
x=4
then two numbers are 16,20. The bigger number is 20
ANSWER: A
Answer: A
Question: The letters of the word LUCKNOW are arranged among themselves. Find the probability of always having NOW in the word.
Options:
A)1/31
B)1/32
C)1/41
D)1/42
E)None of these
Rationale: Explanation :
Since NOW has to always come together, assume it as one single unit. The rest 4 characters can occur in any way. So total no of characters = 5
The required probability will be given by the equation
= No. of words having NOW/Total no. of words
= 5!/7! = 1/42
Answer : D
Answer: D
Question: The average of ages of 10 persons in a club was 32. What should be the age of the new person joining in the club so as to increase the average by 4 ?
Options:
A)76
B)2366
C)299
D)277
E)221
Rationale: Correct Option: D
Explanation:
Total age of 10 persons = 10 × 32 = 320
Total age of 11 persons = 11 × 36 = 396 (as the new average is 4 more than present average)
So the age of the person joining is = 396 - 320 = 76
Answer:A
Answer: A
Question: An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 1 o’clock in the afternoon?
Options:
A)60°
B)150°
C)180°
D)320°
E)None of these
Rationale: Sol.
Angle traced by the hour hand in 5 hours = [360/12 * 5]° = 150°
Answer B
Answer: B
Question: In a kilometer race, A beats B by 40 meters or 8 seconds. What time does A take to complete the race?
Options:
A)221
B)190
C)192
D)191
E)121
Rationale: Time taken by B run 1000 meters = (1000 * 8)/40 = 200 sec.
Time taken by A = 200 - 8 = 192 sec.Answer:C
Answer: C
Question: A broker invested her own money in the stock market. During the first year, she increased her stock market wealth by 40 percent. In the second year, largely as a result of a slump in the stock market, she suffered a 30 percent decrease in the value of her stock investments. What was the net increase or decrease on her overall stock investment wealth by the end of the second year?
Options:
A)−5%
B)−2%
C)15%
D)20%
E)80%
Rationale: The actual answer is obtained by multiplying 140% by 70% and subtracting 100% from this total. That is: 140% × 70% = 98%; 98% − 100% = -2%.
Answer: B
Answer: B
Question: A lady grows cabbage in her garden that is in the shape of a square. Each cabbage takes 1 square foot of area in her garden. This year, she has increased her output by 211 cabbages when compared to last year. The shape of the area used for growing the cabbage has remained a square in both these years. How many cabbages did she produce this year?
Options:
A)11236
B)11025
C)14400
D)12696
E)Cannot be determined
Rationale: Explanatory Answer
The shape of the area used for growing cabbages has remained a square in both the years.
Let the side of the square area used for growing cabbages this year be X ft.
Therefore, the area of the ground used for cultivation this year = X2 sq.ft.
Let the side of the square area used for growing cabbages last year be Y ft.
Therefore, the area of the ground used for cultivation last year = Y2 sq.ft.
As the number of cabbages grown has increased by 211, the area would have increased by 211 sq ft because each cabbage takes 1 sq ft space.
Hence, X2 - Y2 = 211
(X + Y)(X - Y) = 211.
211 is a prime number and hence it will have only two factors. i.e., 211 and 1.
Therefore, 211 can be expressed as product of 2 numbers in only way = 211 * 1
i.e., (X + Y)(X - Y) = 211 * 1
So, (X + Y) should be 211 and (X - Y) should be 1.
Solving the two equations we get X = 106 and Y = 105.
Therefore, number of cabbages produced this year = X2 = 1062 = 11236.
Alternative Approach : Use answer choices
The area in both the years are squares of two numbers.
That rules out choice D. 12696 is not the square of any number.
Check Choice A: If this year's produce is 11236, last year's produce would have been 11236 - 211 = 11025
11025 is the square of 105.
So, 11236 is the answer.
Choice A is the correct answer.
Answer: A
Question: In a college there are 35 students. What is the smallest number of books that must be brought so that each student receives the same number of books?
Options:
A)46
B)17
C)300
D)250
E)140
Rationale: The number of students in a college are 35.
E is the correct answer because only 140 is divisible by 35.
Answer: E
Question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 96, what is the value of K?
Options:
A) 11
B) 15 3/4
C) 22
D) 35
E) 25 3/10
Rationale: K + 2K +3 + 3K - 5 + 5K +1 = 11K -1
(11K -1)/4 = 96
11K = 96 * 4 +1 = 384 +1 = 385
K = 385 / 11 = 35.
Answer D.
Answer: D
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is:
Options:
A)5236
B)5330
C)5336
D)5348
E)5352
Rationale: Divisor = (5 * 46) = 230
= 10 * Quotient = Divisor
=> Quotient = 230/10 = 23
Dividend = (Divisor * Quotient) + Remainder
Dividend = (230 * 23) + 46 = 5336.
C)
Answer: C
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Options:
A)18:11
B)18:18
C)18:12
D)18:16
E)18:13
Rationale: Explanation:
A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.
A : B
8000*18 : (8000*4) + (4000*14)
14400 : 88000
A:B = 18:11
Answer: A
Answer: A
Question: If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is?
Options:
A)4/15
B)4/17
C)4/12
D)4/13
E)4/11
Rationale: P(SᴜK)
= P(S) + P(K) - P(S∩K), where S denotes spade and K denotes king.
P(SᴜK)
= 13/52 + 4/52 - 1/52
= 4/13
Answer: D
Answer: D
Question: In a fuel station the service costs $2.05 per car, every liter of fuel costs 0.6$. Assuming that you fill up 3 mini-vans and 2 trucks, how much money will the fuel cost to all the cars owners total, if a mini- van's tank is 70 liters and a truck's tank is 120% bigger and they are all empty-?
Options:
A)312.6$
B)321.05$
C)343.7$
D)398.85$
E)412.12$
Rationale: Service cost of 3 van and 2 truck = 2.05*(3+2)=10.5
Fuel in 3 Van = 3*70=210 litre
Fuel in 2 Trucks =2 * 70(1+120/100)= 308
Total fuel(Van+Truck) = 518 Litre
Total Fuel cost = 518*0.6 =310.8
TOTAL COST =FUEL+SERVICE=310.8+10.25=321.05
ANSWER IS B
Answer: B
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Options:
A)36/141
B)36/145
C)30/141
D)36/115
E)3/145
Rationale: The probability that first ball is white:
=12C130C1=12C130C1
=1230=1230
=25=25
Since, the ball is not replaced; hence the number of balls left in bag is 29.
Hence, the probability the second ball is black:
=18C129C1=18C129C1
=1829=1829
Required probability,
=(25)×(1829)=(25)×(1829)
=36/145
B
Answer: B
Question: The simple interest on Rs.15000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for two years at the same rate of interest.
Options:
A)3052.82
B)3015.24
C)3052.24
D)3018.24
E)3052.23
Rationale: R = 100 I / PT
=> R = (100 * 7200)/ (15000 * 5) = 9.6%
CI = P{ [1 + R /100]n - 1}
= 15000 { [ 1 + 9.6 / 100]^2 - 1} = Rs.3018.24
Answer:D
Answer: D
Question: Steve traveled the first 2 hours of his journey at 50 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
Options:
A)68 mph
B)56.67 mph
C)60 mph
D)64 mph
E)66.67 mph
Rationale: Average Speed = Total distance/ Total time = (50 * 2 + 80 * 3)/(2 + 3) = 68
Ans:A
Answer: A
Question: If the average marks of 3classes of 55, 60 and 45 students respectively is 50, 55, 60, then find the average marksof all the students is
Options:
A)53
B)53.5
C)54.68
D)55.6
E)67.2
Rationale: Required average
= 55 x 50 + 60 x 55 + 45 x 60
55 + 60 + 45
= 2750 + 3300 + 2700
160
=	8750
160
= 54.68
C
Answer: C
Question: If a sum on compound interest becomes three times in 4 years, then with the same interest rate, the sum will become 81 times in
Options:
A)12 years
B)18 years
C)16 years
D)14 years
E)15 years
Rationale: Explanation:
Let the sum be P
The sum P becomes 3P in 4 years on compound interest
3P = P(1+R/100)4
⇒ 3 = (1+R/100)4
Let the sum P becomes 81P in n years
81P = P(1+R/100)n
⇒ 81 = (1+R/100)n
⇒ (3)4 =(1+R/100)n
⇒((1+R/100)n)n
=(1+R/100)n
⇒ (1+R/100)16
= (1+R/100)n
n = 16
i.e, the sum will become 81 times in 16 years
Answer: Option C
Answer: C
Question: how many distinct 3 digit number less than 10
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: 000,001,002,003,004,005,006,007,008,009.
10 distinct 3 digit numbers less than 10.
ANSWER:C
Answer: C
Question: 189. The inside dimensions of a rectangular wooden box
are 10 inches by 12 inches by 14 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
Options:
A) 3
B) 4
C) 5
D) 6
E) 8
Rationale: Since the radius is squared, the biggest volume cylinder will have the biggest possible radius. To achieve that, let the smaller dimension of the rectangular box be the height. So, it will have 14x12 width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 12, so the radius will be 6.
D
Answer: D
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8463 for a computer table, then what was the cost price of the computer table?
Options:
A)6727
B)6825
C)6728
D)6725
E)2871
Rationale: :
CP = SP * (100/(100 + profit%))
= 8463(100/124) = Rs. 6825.
Answer: B
Answer: B
Question: A student was asked to find 4/5 of a number. But the student divided the number by 4/5, thus the student got 9 more than the correct answer. Find the number.
Options:
A)16
B)18
C)20
D)22
E)24
Rationale: Let the number be x.
(5/4) * x = (4/5)*x + 9
25x = 16x + 180
9x = 180
x = 20
The answer is C.
Answer: C
Question: if 5+6+4=010530
and 2+4+8=021040
and 3+5+9=021155
and 4+6+7=020954....
then 2+7+5=??????
Options:
A)051070
B)051770
C)051074
D)151070
E)071070
Rationale: if 5+6+4=010530
and 2+4+8=021040
and 3+5+9=021155
and 4+6+7=020954....
then 2+7+5=??????
051070
ANSWER:A
Answer: A
Question: A coin is tossed four times. What is the probability that there is at the least one tail?
Options:
A)15/16
B)15/37
C)15/67
D)15/17
E)15/31
Rationale: Let P(T) be the probability of getting least one tail when the coin is tossed four times.
= There is not even a single tail.
i.e. all the outcomes are heads.
= 1/16 ; P(T) = 1 - 1/16
= 15/16
Answer: A
Answer: A
Question: Carrie, Liz and Michael are playing cards. Together they have all won $400 total. Carrie and Liz have won $150 total. Michael and Liz have won $300 total. How much money as Carrie won?
Options:
A)50
B)250
C)350
D)100
E)150
Rationale: Carrie + Liz + Michael = $400
C + L = $150
M + L = $300 <<Plug into original formula
C + (M + L) = 400
C + 300 = 400
Subtract 300 from each side
c = $100
Answer: D
Answer: D
Question: The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
Options:
A)15
B)16
C)18
D)25
E)24
Rationale: Explanation:
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.
S.P. of x articles = Rs. 20.
Profit = Rs. (20 - x).
(20-X/X X100=25)
2000 - 100x = 25x
125x=2000
x=16
ANSWER IS B
Answer: B
Question: In 1995, the Johnsons spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johnsons cut back their water usage. By how much must the Johnsons have reduced their 1996 water usage to pay exactly the same amount N in 1996 as they paid in 1995?
Options:
A)33 1⁄3%
B)40%
C)50%
D)66 2⁄3%
E)100%
Rationale: water rate increases by 50 % in 1996 means 150% of rate in 1995. to pay exactly the same amount N in 1996 as they paid in 1995, water use should decrease in the same ratio
150-> 100 means 1/3 rd= 33(1/3) %.A
Answer: A
Question: A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?
Options:
A)2
B)8
C)4
D)5
E)None of these
Rationale: Quantity of milk in the mixture = 90/100 (70) = 63 litres.
After adding water, milk would form 87 1/2% of the mixture.
Hence, if quantity of mixture after adding x liters of water, (87 1/2) / 100 x = 63 => x = 72
Hence 72 - 70 = 2 litres of water must be added.
ANSWER:A
Answer: A
Question: The ratio of the adjacent angles of a parallelogram is 4 : 11. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
Options:
A)132°
B)228°
C)156°
D)224°
E)None of these
Rationale: The measures of the adjacent angles of a parallelogram add up to be 180°
Given
So, 4x + 11x = 180°
Or, 15x = 180°
Or, x = 12°
Hence the angles of the parallelogram are 48° and 132°
Further it is given
We know sum of all the four angles of a quadrilateral is 360°
So, 5y + 6y + 7y + 12 y = 360°
Or, 5y + 6y + 7y + 12 y = 360°
Or, 30y = 360°
Or, y = 12°
Hence the angles of the quadrilateral are 60° , 72, 84° and 144°
Will be 48° + 84° = 132°
Answer : A
Answer: A
Question: How many seconds will a 400 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Options:
A)11 sec
B)24 sec
C)77 sec
D)14 sec
E)12
Rationale: Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 400 * 3/50
= 24 sec.
Answer: B
Answer: B
Question: Let C be defined as the sum of all prime numbers between 0 and 35. What is C/3
Options:
A)155
B)129
C)64.3
D)47
E)43
Rationale: Prime numbers between 0 and 30 - 2 , 3 , 5 , 7, 11 , 13 , 17 , 19 , 23 , 29, 31, 33
Sum,C = 193
C/3 = 64.3
Answer C
Answer: C
Question: A family pays $800 per year for an insurance plan that pays 85 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
Options:
A)$1,100
B)$1,200
C)$1,400
D)$1,800
E)$2,200
Rationale: Upfront payment for insurance plan = 800$
Family needs to pay 15 % of first 1000 $ in expense = 150$
Total amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 150 = 950 $
Total amount paid by insurance plan for first 1000 $ = 800 $
Total amount paid by family will equal amount paid by plan when medical expense = 1100 $
(Since insurance plan will pay 100% of amount that exceeds 950$ )
Answer A
Answer: A
Question: A train 280 m long can cross an electric pole in 20 sec and then find the speed of the train?
Options:
A)88 Kmph
B)89 Kmph
C)72 Kmph
D)50 Kmph
E)18 Kmph
Rationale: Length = Speed * time
Speed = L/T
S = 280/20
S = 14 M/Sec
Speed= 14*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 50 Kmph
Answer: D
Answer: D
Question: The probability of rain showers in Barcelona on any given day is 0.5. What is the probability that it will rain on exactly one out of three straight days in Barcelona?
Options:
A)0.144
B)0.072
C)0.375
D)0.72
E)0.288
Rationale: IMO This is just for first day! It can rain on 2nd day or 3 rd day (and not rain on other days) in 3 consecutive days!
Hence,
0.5*0.5*0.5 + 0.5*0.5*0.5 + 0.5*0.5*0.5 = 0.375
Option - C
Answer: C
Question: Ram has 490 chocolates. 70 members work in his office. He would like to give each person the same amount of chocolates, how much should he give to each person?
Options:
A)7
B)12
C)9
D)15
E)6
Rationale: 490/70 = 7
The answer is A.
Answer: A
Question: A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
Options:
A)2 1/4
B)2 1/9
C)2 1/2
D)2 1/6
E)2 1/7
Rationale: P ---- 2P ---- 8 years
2 1/4 P ---- 10 years
Answer: A
Answer: A
Question: If a computer program generates three-digit odd numbers using the numbers 9, 7, 0, 2, and 1, and the digits can be repeated, what is the probability that the number formed from the program is a multiple of three?
Options:
A)1/3
B)1/4
C)1/5
D)1/6
E)1/7
Rationale: A
Answer: A
Question: If z≠y and z·y≠0, which of the following may be true?
Options:
A)z=y
B)(z+y)(z-y)=0
C)z.y=0
D)z^2=y^2
E)z^2+y^2=0
Rationale: except B all conditions are not as per question
B
Answer: B
Question: Akshay buys a motorcycle for Rs.25000. If he decides to sell the motorcycle for a profit of 7%, find the selling price.
Options:
A)26750
B)26759
C)26757
D)26756
E)26753
Rationale: Explanation:
Profit = %profit/100 * cost price
P = 7/100 * 25000 = 1750.
Selling price = cost price + profit
= 25000 + 1750
= Rs.26750
ANSWER:A
Answer: A
Question: If 9 engines consume 24 metric tonnes of coal, when each is working 8 hours
day, how much coal will be required for 8 engines, each running 13hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter type?
Options:
A)23 metric tonnes
B)24 metric tonnes
C)25 metric tonnes
D)26 metric tonnes
E)27 metric tonnes
Rationale: We shall compare each item with the quantity of coal.
Less engines, less coal consumed (direct)
More working hours, more coal consumed (direct)
If 3 engines of former type consume 1 unit, then 1 engine will consume 1/3 unit.
If 4 engines of latter type consume 1 unit, then 1 engine will consume 1/4 unit.
Less rate of consumption, less coal consumed (direct).
Therefore, number of engines 9:8 :: 24:x
Working hours 8:13 :: 24:x
Rate of consumption 1/3:1/4 :: 24:x.
9*8*1/3*x= 8*13*1/4*24 or x= 26.
Therefore, required consumption of coal 26 metric tonnes.
ANSWER:D
Answer: D
Question: There are two pipes A and B.If A filled 10 liters in hour B can fills 20 liters in same time.likewise B can fill 10,20,40,80,160.... if B filled in (1/16)th of a tank in 3 hours.how much time will it take to fill completely?
Options:
A)7 hours
B)6 hours
C)5 hours
D)8 hours
E)9 hours
Rationale: 1/16 in 3 hours
1/8 in 4 hours,as here rate of water filling is doubled
1/4 in 5 hours
1/2 in 6 hours
1 in 7 hours
ans will be 7 hours
ANSWER:A
Answer: A
Question: A runs 5/3 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?
Options:
A)200 m
B)300 m
C)270 m
D)160 m
E)360 m
Rationale: Ratio of the speeds of A and B =	5	: 1 = 5 : 3.
3
Thus, in race of 5 m, A gains 2 m over B.
2 m are gained by A in a race of 5 m.
80 m will be gained by A in race of	5	x 80	m	= 200 m.
2
Winning post is 200 m away from the starting point.
ANSWER:A
Answer: A
Question: A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:
Options:
A)12
B)66
C)73
D)72
E)8
Rationale: Answer: A) 12 pi cub.cm
Answer: A
Question: g, b, c, and d are positive integers. If the remainder is 9 when g is divided by b, and the remainder is 5 when c is divided by d, which of the following is NOT a possible value for b + d?
Options:
A) 20
B) 19
C) 18
D) 16
E) 15
Rationale: When g is divided by b remainder is 9 that means b is greater than or equals to 10, similarly d is greater than or equals to 6.
b + d cannot be 15, hence E is the answer.
Answer: E
Question: A and B are two partially filled buckets of water. If 3 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 5 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water?
Options:
A)11
B)13
C)39/5
D)21
E)23
Rationale: Let A contains A, B contains B liters
so, (A-3)/(B+3)= 1/3.......(1)
again, (B-5)/(A+5)= 1/2..........(2)
from (1)(2) we find A= 39/5
ans: (C)
Answer: C
Question: It takes printer A 4 more minutes than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take printer A to print 80 pages?
Options:
A)12
B)18
C)20
D)24
E)30
Rationale: We need time taken by printer A to print 80 pages. (Let's say this is 'a' mins)
We know A takes 4 more mins for 40 pages so it will take 8 more minutes for 80 pages.
Together, they print 50 pages in 6 mins so they will print 80 pages in 6*50/80 = 48/5 mins
Now, make your sum of rates equation:
1/a + 1/(a - 8) = 5/48
Now look at the options and substitute here. First check out the straight forward options.
Say, a = 12
1/12 + 1/4 = 4/12 Nope
I will not try 18 and 20 because (18, 10) and (20, 12) doesn't give me 48, the denominator on right hand side.
I will try 24 instead.
1/24 + 1/16 = 5/48 Yes.
Answer is 24.
ANSWER:D
Answer: D