divelab/Sys2Bench huggingface dataset:
Question: Three partners A,B,C starts a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Rs.12000 at the end of the year, B's share is
Options:
A)Rs.4000
B)Rs.4320
C)Rs.7500
D)Rs.6600
E)None
Rationale: Solution
Let C = x.
Then, B = 4x and 2A = 3x4x = 12x or A = 6x.
âˆ´ A : B : C = 6x : 4x : x	= 6 : 4 : 1.
So B's capital	= Rs(12000 x 4 / 11)
= Rs.4320.
Answer B
Answer: B
Question: An plane covers a distance at a speed of 180 kmph in 5 hours. To cover the same distance in 3/2 hours, it must travel at a speed of ?
Options:
A)100
B)200
C)720
D)600
E)500
Rationale: We know
Distance = speed * time
= 180 * 5
= 900 km
Now to cover 900 km in 3/2 hrs ,
speed = distance / time
= 900 / (3/2)
= 600 KMPH
Ans- D
Answer: D
Question: A Water Heater is available for $39000 cash or $17000 as down payment followed by five equal monthly instalments of $4800 each. The simple rate of interest per annum under the instalment plan would be
Options:
A)18%
B)19%
C)21.2%
D)21.81%
E)22.07%
Rationale: Simple interest SI = (P*R*T)/100
where P is the principal amount
R is the rate of interest
and T is time in years
the way I see it: Water Heater on down payment of 17,000, customer is not paying any interest. it is the remaining sum which will be paid for 5 months that will bear an interest. Therefore, the principal amount for which interest is being charged is 39,000 - 17,000 = 22,000
For this 22,000 a total sum of 5*4800 = 24,000 was pain. (Time is five months, so T = 5/12, as T is in years.)
thus, SI = 2000 or
2000 = (P*R*T)/100
2000 = (22,000*R*5)/(100*12)
R = (2,000*12*100)/22,000*5
R = 21.81%
Therefore answer is D
Answer: D
Question: In a business there are three partners sum of A and B investments to total investment is in the ratio 4 : 5, and sum of B and C investments to total investment is in the ratio 4 : 5, then which of the following is correct with regard to investments, if investments of two of the partners are equal ?
Options:
A)A = B
B)B = C
C)A = B = C
D)B > (A + C)
E)A > C
Rationale: If ( A + B ) : ( A + B + C ) = 4 : 5, then C = 5 – 4 = 1 unit
If ( B + C ) : ( A + B + C ) = 4 : 5, then A = 5 – 4 = 1 unit
Therefore B = ( A + B + C ) – ( A + C ) = 5 – 2 = 3
Clearly B > ( A + C )
Option D
Answer: D
Question: One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.36 for operating-system overhead, $0.023 per millisecond of computer time, and $4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ?
Options:
A) $7.15
B) $8.87
C) $35.96
D) $40.21
E) $59.92
Rationale: Operating system overhead for 1 run = 1.36 $
Mounting of data tape = 4.35$
Cost per 1 millisecond of computer time = .023 $
Total cost of 1 run of a program that requires 1.5 seconds of computer time
= 1.36 + (.023*1500) + 4.35
=1.36 + 34.5 + 4.35
= 40.21$
Answer D
Answer: D
Question: 15 times a positive integer is more than its square by 56, then the positive integer is
Options:
A)13
B)8
C)11
D)12
E)14
Rationale: Explanation:
Let the number be x. Then,
15x = x2 + 56
=> x2 - 15x + 56 = 0
=>(x - 7)(x - 8) = 0
=> x = 7 or 8
Answer: Option B
Answer: B
Question: if a@b = a * b^(1/2) then 2@9 = ?
Options:
A)2
B)6
C)3
D)8
E)4
Rationale: a@b = a * b^(1/2)
2@9 = 2*9^(1/2) = 2*3 = 6
Correct Option: B
Answer: B
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 8 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Options:
A)33:1
B)33:7
C)33:8
D)33:5
E)33:2
Rationale: Quantity of alcohol in vessel P = 62.5/100 * 2 = 5/4 litres
Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/1 litres
Quantity of alcohol in the mixture formed = 5/4 + 7/1 = 33/4 = 8.25 litres
As 10 litres of mixture is formed, ratio of alcohol and water in the mixture formed
= 8.25 : 1.75 = 33:7.
Answer: B
Answer: B
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
Options:
A)127.8 m
B)127.5 m
C)127.5 m
D)227.5 m
E)123.5 m
Rationale: When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.
When B runs 900 m, distance that C runs = (900 * 700)/800 = 6300/8 = 787.5 m.
In a race of 1000 m, A beats C by (1000 - 787.5) = 212.5 m to C.
In a race of 600 m, the number of meters by which A beats C = (600 * 212.5)/1000
= 127.5 m.
Answer: B
Answer: B
Question: The sum of money will be double itself in 40 years and simple interest find rate of interest?
Options:
A)A)1.5%
B)B)2.5%
C)C)3.5%
D)D)4.5%
E)E)5.5%
Rationale: T = 40 years
P= principle amount = x
A = total amount = 2x
SI = simple interest = A-P = 2x-x = x
R = 100SI/PT = 100x/40x =2.5%
Answer is B
Answer: B
Question: In the biology lab of "Jefferson" High School there are 0.036*10^5 germs, equally divided among 18000*10^(-3) Petri dishes. How many germs live happily in a single dish?
Options:
A)100
B)200
C)300
D)400
E)500
Rationale: 0.036*10^5 can be written as 3600
18000*10^(-3) can be written as 18
Required= 3600/18= 200
ANSWER:B
Answer: B
Question: 1/0.05 is equal to
Options:
A)25.5
B)2.5
C)25
D)20
E)None of these
Rationale: Explanation:
1/0.05 = (1 * 100)/5 = 100/5 = 20
Option D
Answer: D
Question: A man buys an article and sells it at a profit of 5%. If he had bought it at 5% less and sold it for Rs.25 less, he could have gained 5%. What is the cost price?
Options:
A)197
B)476
C)279
D)278
E)268
Rationale: CP1 = 100 SP1 = 105
CP2 = 95 SP2 = 95 * (105/100) = 99.75
5.25 ----- 100
25 ----- ? => 476
Answer:B
Answer: B
Question: The length of a bridge in meters, which a train 110-meters long and traveling at 45 km/hr can cross in 30 seconds is?
Options:
A)245
B)265
C)295
D)325
E)375
Rationale: 45 km/h = 45000 m/3600 s = 12.5 m/s
In 30 seconds, the train can go 30(12.5) = 375 meters
Let x be the length of the bridge.
x+110 = 375 meters
x = 265 meters
The answer is B.
Answer: B
Question: In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 4,000 have been vaccinated against both, how many have been vaccinated only against rubella?
Options:
A)2,5000
B)8,000
C)10,000
D)15,000
E)17,500
Rationale: Use a single variable as far as possible.
Number vaccinated only against mumps = x
Number vaccinated against both = 2x = 4000 (so x = 2000)
Then, number vaccinated against mumps (including both) = x + 2x = 3x
Number vaccinated against rubella = 2*3x = 6x
Then, number vaccinated against only rubella = 6x - 2x = 4x = 4*2000 = 8,000
Answer (B)
Answer: B
Question: Each of the dogs in a certain kennel is a single color. Each of the dogs in the kennel either has long fur or does not. Of the 45 dogs in the kennel, 26 have long fur, 22 are brown, and 8 are neither long-furred nor brown. How many long-furred dogs are brown?
Options:
A)26
B)19
C)11
D)8
E)6
Rationale: No of dogs=45
Long fur=26
Brown=22
Neither long fur nor brown=8
Therefore, either long fur or brown=45-8=37
37=26+22-Both
Both=11
Answer C
Answer: C
Question: A man can row 5 kmph in still water. If the river is running at 1kmph, it takes him 75 minutes to row to a place and back. How far is the place?
Options:
A)3km
B)2.5 km
C)4 km
D)5 km
E)6 km
Rationale: Speed downstream = (5+1)km/hr = 6 km/hr Speed upstream = (5-1)km/hr = 4 km/hr Let the required distance be x km x/6 + x/4 = 75/60 2x+3x = 15 x = 3km .
ANSWER:A
Answer: A
Question: At a recent small town election for mayor a total of 983 votes were cast for the four candidates, the winner exceeding his opponents by 53, 79 and 105 votes, respectively. How many votes were cast for the candidate in fourth place?
Options:
A)134
B)178
C)200
D)166
E)194
Rationale: The number of votes the winning candidate received was
983 + 53 + 79 + 105	/4= 305.
The second received 305 – 53 = 252,
The fourth place received 305 – 105 = 200.
C
Answer: C
Question: Convert the following unit:
6.5 hectares in mÂ²
Options:
A)55000 mÂ²
B)80000 mÂ²
C)70000 mÂ²
D)67500 mÂ²
E)65000 mÂ²
Rationale: 6.5 hectares in mÂ²
1 hectare = 10000 mÂ²
Therefore, 6.5 hectares = 6.5 Ã— 10000 mÂ²
= 65000 mÂ²
ANSWER : OPTION E
Answer: E
Question: A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?
Options:
A)Â²Â²Câ‚â‚€
B)Â²Â²Câ‚â‚€+1
C)Â²Â²Câ‚‰ + Â¹â°Câ‚
D)Â²Â²Câ‚â‚€ - 1
E)None of these
Rationale: Explanation:
The total number of ways of forming the group of ten representatives is Â²Â²Câ‚â‚€.
The total number of ways of forming the group that consists of no seniors is Â¹â°Câ‚â‚€ = 1 way
The required number of ways = Â²Â²Câ‚â‚€ - 1
ANSWER IS D
Answer: D
Question: If x is an odd integer and y = 3x + 2, which of the following CANNOT be a divisor of y?
Options:
A)23
B)5
C)14
D)17
E)11
Rationale: x takes odd values as 1,3,5,7.,
y=3x+2
x is an odd term so 3x must be an odd term when it adds with 2 so it must be a odd integer
14 didn't follows this condition ans is C
Answer: C
Question: Fernando Alonso and Sebastian Vettel go for a car race. Bedore start of race, both of them have the exactly same amount of fuel in their respective cars. With the given fuel Fernando can drive continuously for 4 hours while Vettel can drive 1 hour more i.e five hours.
After a time they realize that amount of fuel left in Sebastian car is 4 times the fuel in Fernando car.
For long they are racing ?
Options:
A)15/4 hours
B)15/3 hours
C)15/2 hours
D)15/2 hours
E)None
Rationale: Solution:
15/4 hours
Explanation:
Let us say they drive for "t" hours and initial fuel is "f"
Amount of fuel consumed by Fernando car is ft/4
Amount of fuel consumed by Sebastian car is ft/5
As per given condition,
f - ft/5 = 4(f-ft/4)
t = 15/4 hours
Answer A
Answer: A
Question: If the length of an edge of cube P is thrice the length of an edge of cube Q, what is the ratio of the volume of cube Q to the volume of cube P?
Options:
A)1/4
B)1/5
C)1/6
D)1/27
E)1/9
Rationale: The length of cube Q = 1;
The length of cube P = 3;
The ratio of the volume of cube Q to the volume of cube P = 1^3/3^3 = 1/27
Answer : D
Answer: D
Question: The parameter of a square is equal to the perimeter of a rectangle of length 36 cm and breadth 20 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
Options:
A)23.56
B)23.59
C)44.0
D)23.53
E)23.57
Rationale: Let the side of the square be a cm.
Parameter of the rectangle = 2(36 + 20) = 112 cm Parameter of the square = 112 cm
i.e. 4a = 112
A = 28
Diameter of the semicircle = 28 cm
Circimference of the semicircle
= 1/2(âˆ)(28)
= 1/2(22/7)(28) = 44cm to two decimal places
Answer:C
Answer: C
Question: If an item that originally sold for c dollars was marked up by a percent and then discounted by b percent, which of the following expressions represents the final price of the item?
Options:
A)(10,000c + 100c(a – b) – abc)/10,000
B)(10,000c + 100c(b – a) – abc)/10,000
C)(100c(a – b) – abc)/10000
D)(100c(b – a) – abc)/10000
E)10000 /(a – b)
Rationale: Assume c=100, a=10, b=10. So final price is 99. Now put these value each option. Only option A will give right answer.
Answer: A
Question: A couple who own an appliance store discover that if they advertise a sales discount of 10% on every item in the store, at the end of one month the number of total items sold increases 30%. Their gross income from sales for one month increases by what percent?
Options:
A)9%
B)11%
C)13%
D)15%
E)17%
Rationale: Let P be the original price and let x be the number of items sold originally.
The original income is P*x.
After the changes, the income is 0.9P*1.3x = 1.17*(P*x), an increase of 17%.
The answer is E.
Answer: E
Question: Can you find the missing number in the sequence given below?
11 17 23 12 18 ? 13 19 25 14 20 26
Options:
A)20
B)21
C)22
D)23
E)24
Rationale: Solution:
24
Explanation :
The sequence is given in the puzzle is :
11 17 23 12 18 ? 13 19 25 14 20 26
Let's break the given series as below:
11 17 23
12 18 ?
13 19 25
14 20 26
Now read the number from left hand side from top to bottom as :
So the number that will replace '?' is 24.
Answer E
Answer: E
Question: A train 110 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train.
Options:
A)45 kmph
B)50 kmph
C)55 kmph
D)61 kmph
E)70 kmph
Rationale: Explanation:
Let the speed of the train be x kmph.
Speed of the train relative to man = (x + 5) kmph = (x + 5) ×5/18 m/sec.
Therefore 110/((x+5)×5/18)=6 <=> 30 (x + 5) = 1980 <=> x = 61
Speed of the train is 61 kmph.
Answer: Option D
Answer: D
Question: A bag contains 6 red and 3 green balls. Another bag contains 4 red and 6 green balls. If one ball is drawn from each bag. Find the probability that one ball is red and one is green.
Options:
A)19/20
B)17/20
C)7/15
D)8/10
E)9/40
Rationale: Let A be the event that ball selected from the first bag is red and ball selected from second bag is green.
Let B be the event that ball selected from the first bag is green and ball selected from second bag is red.
P(A) = (2/3) x (3/5) = 2/5.
P(B) = (1/3) x (2/5) = 2/15.
Hence, the required probability is P(A) + P(B) which is nothing but 7/15.
ANSWER:C
Answer: C
Question: If the average of 1, 2, 4, 5, 6, 9, 9, 10, 12 and x is 7, what is the value of x?
Options:
A)7
B)9
C)11
D)12
E)13
Rationale: Sum of the deviations of the numbers in the set from the mean is always zero
1, 2, 4, 5, 6, 9, 9, 10, 12
mean is 7
so the list is -6-5-3-2-1+2+2+3+5... this shud total to zero
but this is -5 , hence we need a number that is 5 more than the mean to get a +5 and make it zero
hence the answer is 7 + 5 = 12
D
Answer: D
Question: A boat takes 38 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B?
Options:
A)240 km
B)120 km
C)360 km
D)180 km
E)None of these
Rationale: Explanation :
velocity of the stream = 4 kmph
Speed of the boat in still water is 14 kmph
Speed downstream = (14+4) = 18 kmph
Speed upstream = (14-4) = 10 kmph
Let the distance between A and B be x km
Time taken to travel downstream from A to B + Time taken to travel upstream from B to C(mid of A and B) = 38 hours
⇒x/18+(x/2)10=38
⇒x/18+x/20=38
⇒19x/180=38
⇒x/180=2
⇒ x = 360
i.e., the distance between A and B = 360 km. Answer : Option C
Answer: C
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Options:
A)7
B)4
C)12
D)19
E)28
Rationale: Average of 20 numbers = 0
Sum of 20 numbers = (0 * 20) = 0
It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a).
Answer: D
Answer: D
Question: a' and 'b' are positive integers such that their LCM is 20 and their HCF is 1. What is the difference between the maximum and minimum possible values of 'a - b'?
Options:
A)28
B)29
C)34
D)38
E)36
Rationale: possible values of a and b can be 5,4; 4,5 and 1,20; 20,1
maximum possible value for a-b is 20-1=19
minimum possible value for a-b is 1-20=-19
19-(-19)=38 ans is D
Answer: D
Question: Three candidates contested in an election and received 1136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get?
Options:
A)45%
B)49%
C)57%
D)51%
E)62%
Rationale: Total number of votes polled = 1136+7636+11628 = 20400
Required percentage = 11628*100/20400 = 57%
Answer is C
Answer: C
Question: If 50% of (x-y) = 20% of (x+y), then what percent of x is y?
Options:
A)50.5%
B)42.8%
C)22.2%
D)33.3%
E)25%
Rationale: 50% of (x-y) = 20% of (x+y)
50/100 (x-y) = 20/100 (x+y)
3x = 7y
Required percentage = y/x *100 = 3y/7y * 100 = 42.85%
Answer is B
Answer: B
Question: A departmental store charges the commission of 15 percent on the first sale of items worth $50,000 and then an additional 12 percent on any sale price that exceeds the initial $50,000. If the department store earned $24,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set?
Options:
A) $215,000
B) $365,000
C) $115,000
D) $240,000
E) $187,500
Rationale: 24,000 = 0.15 *(50000) + 0.12 (x - 50000)
24000 - 7500 = 0.12 (x-50000)
137500 = x - 50000
x = 1,87,500
Answer : E
Answer: E
Question: What is the sum of all 3 digit positive integers that can be formed using the digits 1, 5, and 8, if the digits are allowed to repeat within a number R?
Options:
A)126
B)1386
C)3108
D)308
E)13986
Rationale: As we are using digits 1,5, 8 and digits are allowed to repeat. Each of the unit, tenth and hundredth digit can be used by each of three digits.
So,Total possible numbers with these digits=3 X 3 X 3 =27.
First, As we have 27 three digit number, Sum will be for sure more than 2700..Eliminate options A,B,D
Second, If you imagine numbers R with the given digits 1,5,8. We have numbers like 888,885,855,858,851. Sum is for sure more than 4000.Eliminate option C.
You are left withanswer E.
Answer: E
Question: In how many years, Rs. 300 will produce the same interest at 6% as Rs. 800 produce in 2 years at 4½% ?
Options:
A)4 years
B)6 years
C)8 years
D)9 years
E)12 years
Rationale: Explanation :
Let Simple Interest for Rs.300 at 6% for n years = Simple Interest for Rs.800 at 4½ % for 2 years
300×6×n/100=800×9/2×2/100
300×6×n=800×9/2×2
300×6×n=800×9
n=4 years
Answer : Option A
Answer: A
Question: What is the units digit of 32! + 50! + 2! + 4!?
Options:
A)0
B)2
C)4
D)6
E)8
Rationale: For all N greater than 4, the units digit of N! is 0.
The sum of the four units digits is 0 + 0 + 2 + 4 = 6
The units digit is 6.
The answer is D.
Answer: D
Question: Sharmila works 10 hours per day on Monday, Wednesday and Friday, and 8 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $460 per week. How much does she earn in dollars per hour?
Options:
A)8
B)9
C)9.5
D)10
E)11
Rationale: So, she works 30 hours in 3 days
So, she works 16 hours in 2 days
So in a week she works 46 hours ( 30 + 16 ) and earns $460
So, Hourly wage is 460/46 => 10
Hence answer will be (D) 10
Answer: D
Question: If (4 - x)/(5 + x) = x, what is the value of x^2 + 6x - 4?
Options:
A)-3
B)0
C)2
D)4
E)6
Rationale: (4-x) = x*(5+x)
(4-x) = 5x+x^2
0 = x^2+6x-4
The answer is B.
Answer: B
Question: A whale goes on a feeding frenzy that lasts for 12 hours. For the first hour he catches and eats 30 kilos of plankton. In every hour after the first, it consumes 2 kilos of plankton more than it consumed in the previous hour. If by the end of the frenzy the whale will have consumed a whopping accumulated total 600 kilos of plankton, how many kilos did he consume on the 10th hour?
Options:
A)36
B)45
C)28
D)48
E)52
Rationale: Therefor in 10th hour he consume x+2*9=30+18=48
correct option is D
Answer: D
Question: From a class consisting of 12 computer science majors, 10 mathematics majors, and 9 statistics majors, a committee of 4 computer science majors, 4 mathematics majors, and 3 statistics majors is to be formed. How many distinct committees are there?
Options:
A)15200
B)16200
C)17200
D)18000
E)19500
Rationale: From a class consisting of 12 computer science majors, 10 mathematics majors, and 9 statistics majors, a committee of 4 computer science majors, 4 mathematics majors, and 3 statistics majors is to be formed. How many distinct committees are there?
Alright, I just started learning combinations tonight, but I have hit a wall. I ran across this problem but cannot get the answer right. Apparently, the answer is 8-some-thousand, but I keep coming up with 16,200. This is how I am working it.
12!/4!(12-4)! * 10!/4!(10-4)! * 9!/3!(9-3!)
(12*...*1/4*...*1*8*...1) * (10*...*1/4*...1*6...*1) * (9*...1/3*2*1*6*...1)
(12*10*9/4*3*2*1) * (10*9*8*7/4*3*2*1) * (9*8*7/3*2*1)
(3*5*3/1*1*1) * (5*3*7/1*1*1) * (3*4*7/1*1*1)
45 * 30 * 12
Answer: 16,200 B
Answer: B
Question: A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $1,000. If the price of the car in 1996 was $22,000, what is the car's price in 2002?
Options:
A)$18,400
B)$19,700
C)$20,200
D)$20,400
E)$21,100
Rationale: Price in 96 = 22000
Price decrease each year = 2.5/100*22000 = 550
Price in 97 = 22000 - 550
Price in 98 = 22000 - 2*550
Price in 99 = 22000 - 3*550
Price in 00 = 22000 - 4*550
Price in 01 = 22000 - 5*550
Price in 02 = 22000 - 6*550 = 18700
Investment in the car = 1000
Net price of the car in 02 = 18700 + 1000 = $19700
Correct Option: B
Answer: B
Question: Four hundred multiples of seven are chosen at random, and 100 multiples of eight are chosen at random. Approximately what percentage of the 500 selected numbers are odd?
Options:
A)30%
B)50%
C)60%
D)55%
E)40%
Rationale: --> Multiples of 7 are 7, 14, 21, 28, 35, 42....
Out of first 4 multiples, 2 are odd; out of first 6 multiples, 3 are odd.
So approx. 50 % of the 400 multiples are odd i.e 200 multiples.
--> Similalrly, for 8 multiples are:8,16,24...
All are even so 0 % are odd.
Total odd= (200+0)/(400+100)= 200/500=(2/5) = 40%
Answer E
Answer: E
Question: What is the area M of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
Options:
A)60.
B)85.
C)125.
D)225.
E)It cannot be determined from the information given
Rationale: Length of one side= 15 (20-5)
Since, its a square, the area will be M= 15^2= 225
D is the answer
Answer: D
Question: The speed of a car is 120 km in the first hour and 70 km in the second hour. What is the average speed of the car?
Options:
A)72 kmph
B)75 kmph
C)95 kmph
D)80 kmph
E)82 kmph
Rationale: S = (120 + 70)/2
= 95 kmph
ANSWER:C
Answer: C
Question: An air conditioner can coo the hall in 12 minutes while another takes 15 minutes to cool under similar conditions. if both air conditioners are switched on at same instance then how long will it take to cool the room?
Options:
A)about 7 minutes
B)about 8 minutes
C)about 9 minutes
D)about 10 minutes
E)about 5 minutes
Rationale: Take LCM of 12 and 15 = 60
12*5=60/ 15*4=60.
So if both are switched on together , room cooled in 60/(5+4)=60/9=6.66 minutes
6.66 can be round to 7 minutes , so about 7 minutes
ANSWER: A
Answer: A
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Options:
A)18 2/71%
B)18 2/11%
C)18 2/15%
D)18 2/19%
E)18 2/21%
Rationale: 13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%
Answer: B
Answer: B
Question: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
Options:
A)2800
B)2500
C)3000
D)3500
E)4000
Rationale: (x*3*1)/100 + [(4000 - x)*5*1]/100 = 144
3x/100 + 200 â€“ 5x/100 = 144
2x/100 = 56 Ã¨ x = 2800
ANSWER A
Answer: A
Question: John deposited $10,000 to open a new savings account that earned 6 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John’s account 6 months after the account was opened?
Options:
A)$10,100.30
B)$10,101.50
C)$10,200.75
D)$10,302.25
E)$10,400.25
Rationale: 6 percent annual interest compounded quarterly --> 1.5% in 3 moths.
For the first 3 moths interest was 1.5% of $10,000, so $150;
For the next 3 moths interest was 1.5% of $10,000,plus2.25 earned on previous interest of $150, so $150+$2.25=$152.25;
Total interest for 6 months was $150+$152.25=$302.25, hence balance after 6 months was $10,000+ $302.25=$10,302.25.
Answer: D.
Answer: D
Question: 90kg of an alloy A is mixed with 140 kg of alloy B. If alloy A has lead and tin in the ratio 3:4 and alloy B has tin and copper in the ratio 2:5, then the amount of tin in the new alloy is?
Options:
A)100.6kg
B)95.4kg
C)117.5kg
D)91.4kg
E)92kg
Rationale: Quantity of tin in 90kg of A = 90*4/7 = 51.4kg
Quantity of tin in 140kg of B = 140*2/7 = 40kg
Quantity of tin in the new alloy = 51.4+40 = 91.4kg
Answer is D
Answer: D