divelab/Sys2Bench huggingface dataset:
Question: The expenses of organizing a garden party increased from Rs.9000 to Rs.12000 when the number of registered candidates increased from 25 to 40. Find the total cost of organizing the party if there are 50 final registrations.
Options:
A)Rs.11000
B)Rs.12000
C)Rs.13000
D)Rs.14000
E)None
Rationale: We know that the expenses of party increases not directly proportional but directly relational.
Assume the fixed component of expense is K rupees and Variable component is M rupees.
Then the total cost is given by
K + 25 x M = 9000 ............(1)
When there are 40 registrations the total cost is
K + 40 x M = 12000 .........(2)
By substracting (1) from (2)
⇒15M=3000⇒M=200⇒15M=3000⇒M=200
So the variable cost per head is Rs.200
To find the fixed cost we can substitute Rs.200 in either (1) or (2), then K = 4000
If there are 50 registrations then the total cost = 4000 + 50 x 200 = Rs.14000
Answer D
Answer: D
Question: As part of a promotion designed to attract visitors, an amusement park gives out 24,600 free tickets per year. Usually, the number of tickets given away each month is constant. Due to an employee error, only 7,000 tickets were given out in the first four months of the year. How many tickets should the amusement park give out in the fifth month so that it will begin the sixth month back on its regular giveaway schedule?
Options:
A)2,050
B)2,079
C)2,200
D)3,250
E)2,460
Rationale: 24600/12=2050
2050*5=10250
10250-7000=3250
Answer D
Answer: D
Question: The mass of 1 cubic meter of a substance is 300 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
Options:
A)1.33
B)1.25
C)8.0
D)12.5
E)80.0
Rationale: Density is mass divided by volume. So density of the given substance will be mass/volume=800kg/1m^3=300 kg/m^3 or 1g/1.33cm^3=0.3 g/cm^3.
Next, ask yourself if 300,000 g is equivalent to 1,000,000 cubic centimeters then 1 g is equivalent to how many cubic centimeters? --> 1 g - 1,000,000/300,000 = 10/3 = 1.33 cubic centimeters.
Answer is A
Answer: A
Question: What will be the vulgar fraction of 0.4
Options:
A)3/5
B)2/5
C)3/2
D)3/7
E)3/8
Rationale: Explanation:
0.4 = 40/100 = 2/5
Option B
Answer: B
Question: In how many different number of ways 5 boys and 3 girls can sit on a bench such that girls always sit together.
Options:
A)A)720
B)B)730
C)C)4230
D)D)4320
E)E)790
Rationale: 4320
Option 'D'
Answer: D
Question: A man runs 1 mile at a speed of r mph. If he runs at a speed of r+20 miles per hour, he would run the same distance in 4 minutes less. What is the value of r?
Options:
A)20 mph
B)8 mph
C)7 mph
D)10 mph
E)5 mph
Rationale: Convert minutes to hours: 4 min = 4/60 min = 1/15 hours.
Equation: 1/r = 1/(r+20) + 1/15.
Plug options into the equation. D fits: 1/10 = 1/(10+20) + 1/15.
Answer: D
Answer: D
Question: The London Racetrack needs to submit its 3 fastest horses to the Kentucky Derby out of 25 horses. However, all of their information was lost and they don't know any of the horse's times. Similarly, they all look identical so they can't remember who's fastest.
They can only race 5 horses at once, so what is the fewest number of races they can conduct to find the 3 fastest horses?
Options:
A)6
B)7
C)5
D)4
E)8
Rationale: 7 races are required.
First you divide the 25 horses into 5 groups of 5. You conduct the 5 races and take all of the fastest horses in those races and have a race with them, giving you the fastest horse. Then you take the remaining 24 horses (excluding the fastest) and remove the 4th and 5th horses in the first set of 5 races (since they definitely have 3 horses faster than them), leaving you with 14 horses. Next you can remove all of the horses that were beat in the preliminary race by the horses that got 4th and 5th in the championship race, leaving you with 8 horses. Finally, you can remove the horses that remain that lost to the 3rd place horse in the final race in the preliminary race and the horse that got 3rd in the preliminary to the horse that got 2nd in the championship race, leaving you with 5 horses.
You can then run a final race where the 1st and 2nd place horses are the 2nd and 3rd fastest. Then you know the 3 fastest horses.
Answer: B
Question: How many positive integer solutions does the equation 8x+2y = 100 have?
Options:
A)50
B)84
C)16
D)35
E)14
Rationale: formula: (constant)/(lcm of two nos)
=100/(8*2)=84
ANSWER:B
Answer: B
Question: At the end of year X, automobile installment credit accounted for 36% of all outstanding consumer installment credit. At that time automobile finance companies extended $75 billion of credit, or 1/2 of the automobile installment credit. How many billion dollars of consumer installment credit was outstanding at that time?
Options:
A)412.16
B)150
C)400
D)416.67
E)420.34
Rationale: System of Equations
a = (36/100) c
(1/2) a = 75 --> a = 150
Substitution
150 = (36/100) c
c = (100/36) 150
Calculate 150/36 * 100
The Correct Answer is D
- The correct answer will be slightly smaller than 513. Therefore, the correct answer is 475.
Answer: D
Question: A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 4356, the number of the member is the group is:
Options:
A)57
B)66
C)77
D)87
E)97
Rationale: Money collected = (43.56 x 100) paise = 4356 paise.
Number of members =Square root of 4356 = 66.
Answer: Option B
Answer: B
Question: If 64(2^x) = 1 then x=
Options:
A)–2
B)–1
C)0
D)-6
E)5
Rationale: 2^x = 1/64
2^x = 1/2^6
2^x= 2^-6
x = -6
D
Answer: D
Question: Marla starts running around a circular track at the same time Nick starts walking around the same circular track. Marla completes 30 laps around the track per hour and Nick completes 15 laps around the track per hour. How many minutes after Marla and Nick begin moving will Marla have completed 4 more laps around the track than Nick?
Options:
A)5
B)16
C)12
D)15
E)20
Rationale: Maria's rate - 30 laps per hour --> 30/60 laps/min
Nick's rate - 15 laps per hour --> 15/60 laps/min
lets set equations:
30/60*t=4 (since Maria had to run 4 laps before Nick would start)
15/60*t=0 (Hick has just started and hasn't run any lap yet)
(30/60-15/60)*t=4-0 (since Nick was chasing Maria)
t=16 min needed Maria to run 4 laps
Answer : B
Answer: B
Question: What is the equation of a circle of radius 7 units centered at (3, 2)?
Options:
A)x^2 + y^2 - 6x – 4y = 36
B)x^2 + y^2 - 6x + 4y = 23
C)x^2 + y^2 + 6x + 4y = 23
D)x^2 + y^2 - 6x – 4y = - 23
E)x^2 + y^2 + 6x – 4y = 23
Rationale: the equation of a circle with center at (a,b) and radius R is (X-a)^2+(Y-b)^2=R^2
=> answer = (X-3)^2+(Y-2)^2=7^2
solving,,we get the equation in answer choice A
Answer: A
Question: On a windy day, out of every 3 sand dunes formed, only 1 remains. Out of 5 blown-out
sand-dunes, 1 has treasure and only 2 out of 7 sand dunes formed have lucky coupons. Find
the probability that the blown-out sand dune will contain both the things.
Options:
A)2/25
B)4/75
C)7/75
D)3/79
E)4/5
Rationale: Probability of sand dune blown out = 2/3
Probability that it has treasure = 1/5
Probability that it has lucky coupon = 2/7
total probability = 2/3 * 1/5 * 2/7 = 3/79
ANSWER:D
Answer: D
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Options:
A)12
B)34
C)56
D)76
E)35
Rationale: Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 28/2 = 35 cm2
Answer: E
Answer: E
Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
A)2:8
B)1:2
C)2:5
D)6:9
E)6:2
Rationale: B
1:2
T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2
Answer: B
Question: The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
Options:
A)488
B)429
C)418
D)480
E)410
Rationale: 262 – 102 = 242
d1 = 20 d2
= 48
1/2 * 20 * 48
= 480
Answer: D
Answer: D
Question: How many litres of pure acid are there in 12 litres of a 40% solution
Options:
A)3.6
B)4.8
C)3.5
D)2.3
E)4.4
Rationale: Explanation:Question of this type looks a bit typical, but it is too simple, as below... It will be 12 * 40/100 = 4.8 Answer: Option B
Answer: B
Question: In 2010, Arman’s birthday was on a Thursday. What day of the week was it 69 days after his birthday?
Options:
A)Thursday
B)Wednesday
C)Saturday
D)Sunday
E)Monday
Rationale: Day of week after 69 days after Arman's birthday = 7*9 + 6
Saturday as the period will have 9 weeks and 6 days .
The 6 days in the end will be Friday - Saturday - Sunday- Monday-Tuesday and Wednesday
Answer B
Answer: B
Question: The volume of a sphere with radius r is (4/3)*pi*r^3 and the surface area is 4*pi*r^3. If a sperical balloon has a volume of 2304 pi cubic centimeters, what is hte surface area of the balloon in square centimeters?
Options:
A)a. 40
B)b. 100
C)c. 400
D)d. 1,800
E)e. 10,000
Rationale: The surface area is 4.pi.r^2 (its area remember not volume)
as 4/3.pi.r^3=2304pi
r=12
so area = 4.pi.r^2= 576.pi= 576 x 3.14 = 1800 (approx)
D
Answer: D
Question: what is the next term of this series6,10,9...?
Options:
A)9
B)10
C)11
D)12
E)15
Rationale: 3&2=6;
5*2=10;
3*3=9;
3*5=15.
ANSWER:E
Answer: E
Question: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 160 m long?
Options:
A)34 Seconds
B)18 Seconds
C)41 Seconds
D)24 Seconds
E)29 Seconds
Rationale: Distance travelled = 140 + 160m = 300m
Speed = 60 * 5/8 = 50/3m
Time = 300 * 3/50 = 18 Seconds
ANSWER B
Answer: B
Question: A circular garden is surrounded by a fence of negligible width along the boundary. If the length of the fence is 1/6 of th area of the garden. What is the radius of the circular garden?
Options:
A)1
B)2
C)4
D)8
E)12
Rationale: as per the question-- width is negligible
now,
let L be the length of the fence =2pir
L=1/6(pir^2)
pir^2=12pir
r=12
Answer : E
Answer: E
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Options:
A)200 meters
B)225 meters
C)245 meters
D)250 meters
E)300 meters
Rationale: Given, Length of the train = 130 meters
Speed of the train = 45 km/hr = 45 * 518 m/sec = 252 m/sec
Time = 30 secs
Let the length of the bridge be x meters .
The distance travelled by the train while crossing the bridge will be sum of the length of train and Length of the bridge = (x+130) meters
so , 252 = x+13030
= 30*25 = 2x + 260
= 750 - 260 = 2x
= 490 = 2x
=x = 245 meters. ANSWER C
Answer: C
Question: Consider a sequence of numbers given by the expression 7 + (s - 1) * 5, where n runs from 1 to 80.What is the sum of this series ?
Options:
A)409
B)1636
C)16360
D)16000
E)15360
Rationale: terms in this sequence are 7,12,17----402
now since this is an a.p. with a common difference of 5. therefore its sum can be given as
s(a+l)/2----------------1)
s= total no. of terms =80
a= first term=7
l= last term=402
subsituting values in the expression 1 we have
80(7+402)/2
= 40(409)
=16360=C
Answer: C
Question: A father tells his son, "I was of your present age when you were born". If the father is 36 now, how old was the boy five years back ?
Options:
A)13
B)15
C)17
D)20
E)25
Rationale: Explanation:
Let the father's age be x and the son's age be y.
Then, x - y = y or x = 2y,
Now, x = 36. So, 2y = 36 or y = 18.
Therefore Son's present age = 18 years.
So, son's age 5 years ago = 13 years.
Answer: Option A
Answer: A
Question: The ratio of buses to cars on River Road is 1 to 10. If there are 90 fewer buses than cars on River Road, how many cars are on River Road?
Options:
A)50
B)40
C)100
D)30
E)20
Rationale: B/C=1/10
C-B=90.........> B=C-90
(C-90)/C=1/10
Testing answers. Clearly Eliminate ABDE
Put C=100.........> (100-90)/100=10/100=1/10
Answer: C
Answer: C
Question: A man borrows Rs. 20,000 at 10% compound interest. At the end of every year he pays Rs. 2000 as part repayment. How much does he still owe after three such installments?
Options:
A)Rs.24000
B)Rs.20000
C)Rs.15000
D)Rs.10000
E)Rs.13000
Rationale: Explanation:
Amount after 3 years on Rs.20000 at 10% compound interest
= 20000(1 + 10/100)3 = 20000(11/10)3 = 26620--- (1)
He paid Rs.2000 after 1st year.
Hence Rs.2000 and its compound interest for 2 years (i.e., amount on 2000 after 2 year) need to be reduced from (1)
Similarly, he paid Rs.2000 after 2nd year.
Hence Rs.2000 and and its compound interest for 1 year
(i.e., amount on 2000 after 1 year) need to be reduced from (1)
Similarly, he paid Rs.2000 after 3rd year.
Hence this Rs.2000 also need to be reduced from (1)
Hence, remaining amount
= 26620 − 2000 (1+10/100)2 − 2000(1+10/100)1 − 2000
= 26620 − 2000(11/10)2 − 2000(11/10) − 2000
= 26620 −2420 − 2200 − 2000 = 20000
i.e, he still owes Rs.20000 even after three installments
Answer: Option B
Answer: B
Question: If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Options:
A)157.20
B)157.29
C)157.50
D)157.30
E)157.23
Rationale: (3500*1.5*3)/100
=> 157.50
Answer: C
Answer: C
Question: How many numbers with 4 different digits can be formed using only the odd digits?
Options:
A)10
B)20
C)40
D)60
E)120
Rationale: Odd digits are 1, 3, 5, 7, 9.
We want 3 different digits.
First digit can be chosen in 5 ways.
Second digit can be chosen in 4 ways.
Third digit can be chosen in 3 ways.
Fourth digit can be chosen in 2 ways.
Total ways = 5*4*3*2
= 120
Hence option (E).
Answer: E
Question: A and B are two partially filled buckets of water. If 8 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 8 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)88/5
B)13
C)17
D)21
E)23
Rationale: Let Bucket A be A and Bucket B be B
Scenario 1
A-8 = 1/3 (B+8) ----> 3A-24 =B+8
Scenario 2
B-8 = 1/2 (A+8) -----> 2B-16 = A+8
From Scenario 1, B = 3A-32
Substitute B with this information in Stmt 2
2 (3A-32) -16 = A+8 ------> 6A -64-16 = A+8 ------> 6A- A = 80+8 ---> 5A= 88
A= 88/5, Answer choice A
Answer: A
Question: On 8th Feb, 1995 it was Wednesday. The day of the week on 8th Feb, 1994 was
Options:
A)wednesday
B)Tuesday
C)Thursday
D)Friday
E)None
Rationale: 1994 being an ordinary year, it has 1 odd day. So, the day on 8th Feb, 1995 is one day beyond the day on 8th Feb, 1994. But, 8th Feb, 1995 was Wednesday. 8th Feb, 1994 was Tuesday.
Answer B
Answer: B
Question: In how many different ways can the letters of the word 'DETAIL' be arranged such that the consonants must occupy only the odd positions?
Options:
A)None of these
B)64
C)120
D)36
E)360
Rationale: OEOEOE
3 consonants DTL can be arranged on odd places in 3!=6 ways. Similarly 3 vowels can be arranged on even places in 3!=6 ways.
Total = 6*6 = 36.
Answer: D.
Answer: D
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ?
Options:
A)Rs. 832
B)Rs. 830
C)Rs. 822
D)Rs. 812
E)Rs. 810
Rationale: Let the total amount in the partnership be 'x'.
Then A's share = x/3
B's share = x/4
C's share = x/5
D's share = x - (x/3 + x/4 +x/5) = 13x/60
A : B : C : D = x/3 : x/4 : x/5 : 13x/60 = 20 : 15 : 12 : 13
A's share in the profit of Rs. 2490 = 20 (2490/60) = Rs. 830.
Answer: B
Answer: B
Question: If y/(x - z) = (y + x)/z = x/y then find x : y : z ?
Options:
A)1 : 2 : 3
B)3 : 2 : 1
C)4 : 2 : 3
D)2 : 4 : 7
E)none of these
Rationale: Given, y/(x - z) = (y + x)/z
yz = xy + x2- yz - xz .. (1)
Also (x/y) = (y/(x - z)) => x2 - xz = y2 .. (2)
Using (1) and (2), we get yz = xy - yz + y2
2yz = xy + y2
2z = x + y
Only option (c) satisfies the equation
ANSWER:C
Answer: C
Question: Determine the value of (27/31*31/27)*3
Options:
A)0
B)1
C)2
D)3
E)none
Rationale: Solution:
Both fractions should be reduced before performing arithmetic operations. We get (27/31*31/27)3=1*3=3
Answer D
Answer: D
Question: A bowl of fruit contains 14 apples and 25 oranges. How many oranges must be removed so that 70% of the pieces of fruit in the bowl will be apples?
Options:
A) 3
B) 6
C) 14
D) 17
E) 19
Rationale: Number of apples = 14
number of oranges = 25
let number of oranges that must be removed so that 70% of pieces of fruit in bowl will be apples = x
Total number of fruits after x oranges are removed = 14+(25-x) = 39-x
14/(39-x) = 7/10
=>20 = 39-x
=>x= 19
Answer E
Answer: E
Question: What is the area of square field whose side of length 15 m?
Options:
A)225 sq m
B)186 sq m
C)586 sq m
D)287 sq m
E)296 sq m
Rationale: 15 * 15
= 225 sq m
Answer: A
Answer: A
Question: Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Options:
A)2
B)9
C)8
D)3
E)5
Rationale: n:
9261 = 8000(21/20)N
(21/20)3 = (21/20)N => N = 3
Answer:D
Answer: D
Question: Raju age after 14 years will be 3 years more than 5 times his age 5 years back, What is the present age of Raju
Options:
A)9 years
B)8 years
C)5 years
D)6 years
E)7 years
Rationale: Explanation:
Clearly,
x+14 = 5(x-5)+3
<=> 4x = 36 => x = 9
Option A
Answer: A
Question: Jane covered a distance of 340 miles between city A and city taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
Options:
A)2 Hours
B)3 Hours
C)4 Hours
D)5 Hours
E)6 Hours
Rationale: X is the hours which Jane is travelled with 60 miles per hour. then 5-X is the hours which Jane travelled with 80 miles per hour. Total Distance becomes
(X*60)+(5-X)*80 = 340. Solving this X will be 3 Hours
ANSWER:B
Answer: B
Question: If the length and breadth of a room are increased by y feet each, the perimeter increases by 16 feet. Find y
Options:
A)8
B)2
C)6
D)4
E)3
Rationale: 2(l+b)=x;
2(l+y+b+y)=x+16;
2(l+b)+4y=x+16;
x+4y=x+16;
y=4
ANSWER:D
Answer: D
Question: The difference between a number and its three fifth is 50. What is the number?
Options:
A)75
B)100
C)125
D)180
E)None
Rationale: Solution
Let the number be x.
Then, x - 3 / 5x = 50
‹=› 2 / 5 x = 50
‹=›x = (50 x 5 / 2)
‹=›125.
Answer C
Answer: C
Question: Out of 4 consonants and 2 vowels, how many words of 3 consonants and 1 vowel can be formed?
Options:
A)192
B)950
C)252
D)2150
E)None of these
Rationale: Solution
Number of ways of selecting (3 consonants out of 4) and (1 vowel out of 2)
4c3 x 2c1= (4/1)x(2/1) =8
Number of group,each having 3 consonants and 1 vowel = 8 .
Each group contains 4 letter.
Number of ways of arranging 4 letters among themselves
= 4 ! = ( 4 × 3 × 2 × 1) = 24 .
So, Required number of words = (24 × 8) = 192 .Answer A
Answer: A
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Options:
A)30%
B)70%
C)100%
D)250%
E)none
Rationale: Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.
New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.
Profit = Rs. (420 - 125) = Rs. 295
Required percentage = (295/420 * 100)% = 1475/21 % = 70% (approximately)
Answer = B
Answer: B
Question: A student has to obtain 45% of the total marks to pass. He got 150 marks and failed by 30 marks. The maximum marks are?
Options:
A)300
B)250
C)280
D)320
E)400
Rationale: Let the maximum marks be x
Then, 45% of x = 150+30
45x/100 = 180
45x= 180*100= 18000
x = 400
Answer is E
Answer: E
Question: If 9 is a factor of 2p, then which of the following may not be an integer?
Options:
A)6p/54 + 2p/3
B)(4p-18)/9
C)(2p+27)/9
D)(81-4p^2)/81
E)(2p-3)/3
Rationale: I got the right answer A after plugging in 18 for p.
While going through Kaplan's explanation, I couldn't understand the part about choice A.
"6p/54 + 2p/3 = 3/6 * 2p/9 + 2p/3.
Since 9 is a factor of 2p, 3 is also factor of 2p. So 2p/3 is an integer, as is 2p/9. But 3/6 = 1/2, so if 2p/9 is not even, the expression 3/6 * 2p/9 will not be even."
But, isn't 2p/9 always even? 9 is a factor of 2p, which means that we could have 2(9), 2(2)(9), 2(3)(9), and so forth. The 9 in the denominator cancels out the 9 in the numerator. So we are left with 2 * something. So 2p/9 is even.A
Answer: A
Question: How many times do the hands of a clock coincide in a day?
Options:
A)21
B)22
C)24
D)25
E)26
Rationale: Explanation:
The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock). For 24 hours total 22 times
Answer is B
Answer: B
Question: You can throw a baseball at 9 feet per second. If that ball travels through the air for one minute, how far will the ball travel?
Options:
A)300 feet
B)361 feet
C)448 feet
D)510 feet
E)540 feet
Rationale: 9 feet per sec x 60= 540 feet
Answer E
Answer: E
Question: The average age of an adult class is 40years. 8 new students with an avg age of 32years join the class. Therefore decreasing the average by 4year. Find what was theoriginal strength of class?
Options:
A)8
B)12
C)15
D)17
E)18
Rationale: Let original strength = y
Then , 40y + 8 x 32 = ( y + 8) x 36
â‡’ 40y + 256 = 36y + 288
â‡’ 4y = 32
âˆ´ y = 8
A
Answer: A
Question: 2610.0 miles - 2554.8 miles =?
Options:
A)75. 2 miles
B)45. 2 miles
C)95. 2 miles
D)85. 2 miles
E)55. 2 miles
Rationale: Subtract: 2610.0
- 2554.8
Answer: 55. 2 miles
correct answer E
Answer: E
Question: In a survey of parents, exactly 7/8 of the mothers and 3/4 of the fathers held full-time jobs. If 40 percent of the parents surveyed were women, what percent of the parents did not hold full-time jobs?
Options:
A)20%
B)23%
C)15%
D)18%
E)16%
Rationale: Fathers without full-time jobs are 1/4*3/5 = 3/20 of all the parents surveyed.
Mothers without full-time jobs are 1/8*2/5 = 1/20 of all the parents surveyed.
The percent of parents without full-time jobs is 3/20 + 1/20 = 1/5 = 20%
The answer is A.
Answer: A
Question: All the students of class are told to sit in circle shape. Here the boy at the 8 th position is exactly opposite to 33 th boy. Total number of boys in the class?
Options:
A)40
B)50
C)28
D)38
E)48
Rationale: As half the circle shape consist of 33-8=25 boys,
So total number of boys in full circle=2*25=50
ANSWER: B
Answer: B
Question: What is the result of (5!*3! -5!*2!)/(5!*4)
Options:
A)1
B)4
C)2
D)8
E)6
Rationale: (5!*3! -5!*2!)/(5!*4)
=5!*(3!-2!)/5!*4
=(3!-2!)/4
=1
Answer A
Answer: A
Question: A bag contains 2 white marbles and 2 black marbles. If each of 2 girls and 2 boys randomly selects and keeps a marble, what is the probability that all of the girls select the same colored marble?
Options:
A)1/35
B)1/10
C)1/3
D)1/4
E)1/5
Rationale: first, total ways to select for all boys and girls, i.e 4!/(2!*2!) = 4*3*2*1/2*1*2*1=6
then there are one two way girls can have all same colors, either white or black.
The number of ways in which 2 girls can select 2 white balls = 2C2 = 1
The number of ways in which 2 girls can select 2 black balls = 2C2 = 1
Therefore, total favorable outcomes/total outcomes = 2/6= 1/3
C
Answer: C
Question: If 2+3= 35, 4+5 = 189, what is 10+1=?
Options:
A)121
B)122
C)123
D)124
E)125
Rationale: (2*3+1)*(2+3)=35
(4*5+1)*(4+5)=189
(10*1+1)*(10+1)=11*11=121
ANSWER:A
Answer: A
Question: A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.
Options:
A)130%
B)140%
C)150%
D)160%
E)170%
Rationale: Explanation:
Let the C.P. = x,
Then S.P. = (120/100)x = 6x/5
New S.P. = 2(6x/5) = 12x/5
Profit = 12x/5 - x = 7x/5
Profit% = (Profit/C.P.) * 100
=> (7x/5) * (1/x) * 100 = 140 %
Option B
Answer: B