divelab/Sys2Bench huggingface dataset:
Question: Q-1) Of the 84 parents who attended a meeting at a
school, 35 volunteered to supervise children during
the school picnic and 22 volunteered both to supervise
children during the picnic and to bring refreshments to
the picnic. If the number of parents who volunteered
to bring refreshments was 1.5 times the number of
parents who neither volunteered to supervise children
during the picnic nor volunteered to bring
refreshments, how many of the parents volunteered to
bring refreshments?
Options:
A)25
B)36
C)38
D)42
E)45
Rationale: i used the following formula: total = group1 + group2 + neither - both
using the information from the question stem, we have:
84 total people
35 who supervise (group1)
x who neither supervise nor bring refreshments
1.5x people who bring refreshments (group2)
22 who supervise AND bring refreshments (both)
therefore...
84 = 35 + 1.5x + x - 22
solving, we get x = 28
since we want the value of those who bring refreshments AND supervise:
1.5(28) = 42
answer is D
Answer: D
Question: A bag contains 3 red, 4 blue and 4 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Options:
A)2/15
B)2/21
C)3/55
D)3/29
E)4/27
Rationale: P(Both are red),
=3C211C2=3C211C2
=3/55
C
Answer: C
Question: If a quality control check is made inspecting a sample of 2 light bulbs from a box of 11 lighbulbs, how many different samples can be chosen?
Options:
A)6
B)24
C)55
D)66
E)72
Rationale: Try using the formula for combinations:
n!/r!(n-r)!
11!/2!(11-2)!
11!/2!*9!
11*10/2*1
=55
C
Answer: C
Question: Find the odd man out. 15, 25, 30, 53, 90, 110, 130
Options:
A)15
B)25
C)53
D)90
E)115
Rationale: Explanation :
All except 53 are multiples of 5
Answer : Option C
Answer: C
Question: Wane covered a distance of 340 miles between city A and city B 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)1 hour 45 minutes
B)2 hours
C)2 hours 30 minutes
D)3 hours
E)None of these
Rationale: Wane covered a distance of 340 miles between city A and city B taking a total of 5 hours.time taken at 60:time taken at 80::(greater speed-average speed):(average speed-lower speed)
average speed is 340/5=68
That gives the answer 3:2=D
Answer: D
Question: Can anyhow help me with an easy solution for this
3, 4, 100, 5, 4, 144, 7, 3, ?
Options:
A)144
B)265
C)276
D)225
E)169
Rationale: 3, 4, 100, 5, 4, 144, 7, 3, ?
3+4=7 and 7+3=10 and 10^2=100
5+4=9 and 9+3=12 and 12^2=144
7+3=10 and 10+3=13 and 13^2=169
ANSWER:E
Answer: E
Question: For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 110 units raises the average to 55 units per day, what is the value of n?
Options:
A)9
B)11
C)13
D)15
E)17
Rationale: The daily production was raised by 5 units for n days, which has a weighting of 5n.
5n = 110-55 = 55
n = 11
The answer is B.
Answer: B
Question: How many positive integers less than 350 are there such that they are multiples of 17 or multiples of 18?
Options:
A)36
B)37
C)38
D)39
E)40
Rationale: 350/17 = 20 (plus remainder) so there are 20 multiples of 17
350/18 = 19 (plus remainder) so there are 19 multiples of 18
We need to subtract 1 because 17*18 is a multiple of both so it was counted twice.
The total is 20+19-1 = 38
The answer is C.
Answer: C
Question: A certain clock marks every hour by striking a number of times equal to the hour,and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 44 seconds. at 12:00 ,how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
Options:
A)A.72
B)B.50
C)C.92
D)D.46
E)E.44
Rationale: At 6:00 it'll chime 6 times. If we assume that the time taken to chime is x, then time between chimes is also x. So you have 6 chimes, which is 6x and 5 time intervals between chimes. This means that 11x = 44 seconds. Thus x = 4 seconds.
By a similar logic, at 12:00, there are 12 chimes and 11 intervals so the total time is (12+11)x = 23x = 92 seconds.
Answer C
Answer: C
Question: For every positive integer n, the nth term of sequence is given by an= 1/n - 1/(n+1). What is the sum of the first 200 terms?
Options:
A)40/41
B)50/51
C)100/101
D)200/201
E)400/401
Rationale: a1 = 1 - 1/2
a2 = 1/2 - 1/3
a3 = 1/3 - 1/4
etc...
a200 = 1/200 - 1/201
The sum of these terms is 1-1/201 = 200/201
The answer is D.
Answer: D
Question: ((-1.9)(0.6) – (2.6)(1.2))/5.0 = ?
Options:
A)-0.852
B)1.0
C)1.07
D)1.71
E)2.71
Rationale: Dove straight into calculation but quickly realized that the sum of two negatives is a negative so there is only one option.
-0.852
Answer A
Answer: A
Question: A person can row at 10 kmph in still water. If the velocity of the current is 2 kmph and it takes him 5 hour to row to a place and come back, how far is the place?
Options:
A)24km
B)30km
C)48km
D)12km
E)15km
Rationale: Speed of down stream = 10+2 = 12kmph
speed of upstream = 10-2 = 8kmph
Let the required distance be xkm
x/12 + x/8 = 5
2x+3x = 120
x = 24 km
Answer is A
Answer: A
Question: A train crosses a platform of 150 m in 10 sec, same train crosses another platform of length 250 m in 15 sec. then find the length of the train?
Options:
A)150m
B)180m
C)159m
D)250m
E)50 m
Rationale: Length of the train be ‘X’
X + 150/10= X + 250/15
3X + 450 = 2X + 500
X = 50m
Answer:E
Answer: E
Question: 6^(x-4)=6
What is the value of x ?
Options:
A)5
B)2
C)-6
D)6
E)4
Rationale: x-4=1
x=5; Answer:A
Answer: A
Question: In "Clash Royal" App Game, Warrior "The Bomber" is a very good defensive options. It can be purchased from the card shop.
The cost of the bomber is quite interesting.
The Cost of 1st bomber is: 2
The Cost of 2nd bomber is: 4
The Cost of 3rd bomber is: 6
The Cost of 4th bomber is: 8
The Cost of 5th bomber is: 10
i.e to buy 5 bombers you need 2+4+6+8+10 = 30 coins.
How many bombers can you buy using 1000 coins ? ?
Options:
A)61
B)62
C)63
D)64
E)65
Rationale: Solution
62
The Cost of 1st bomber is: 2 i.e Total coins spend: 2
The Cost of 2nd bomber is: 4 i.e Total coins spend: 6
The Cost of 3rd bomber is: 6 i.e Total coins spend: 12
The Cost of 4th bomber is: 8 i.e Total coins spend: 20
The Cost of 5th bomber is: 10 i.e Total coins spend: 30
The Cost of 6th bomber is: 12 i.e Total coins spend: 42
The Cost of 7th bomber is: 14 i.e Total coins spend: 56
The Cost of 8th bomber is: 16 i.e Total coins spend: 72
The Cost of 9th bomber is: 18 i.e Total coins spend: 90
The Cost of 10th bomber is: 20 i.e Total coins spend: 110
The Cost of 11th bomber is: 22 i.e Total coins spend: 132
The Cost of 12th bomber is: 24 i.e Total coins spend: 156
The Cost of 13th bomber is: 26 i.e Total coins spend: 182
The Cost of 14th bomber is: 28 i.e Total coins spend: 210
The Cost of 15th bomber is: 30 i.e Total coins spend: 240
The Cost of 16th bomber is: 32 i.e Total coins spend: 272
The Cost of 17th bomber is: 34 i.e Total coins spend: 306
The Cost of 18th bomber is: 36 i.e Total coins spend: 342
The Cost of 19th bomber is: 38 i.e Total coins spend: 380
The Cost of 20th bomber is: 40 i.e Total coins spend: 420
The Cost of 21st bomber is: 42 i.e Total coins spend: 462
The Cost of 22nd bomber is: 44 i.e Total coins spend: 506
The Cost of 23rd bomber is: 46 i.e Total coins spend: 552
The Cost of 24th bomber is: 48 i.e Total coins spend: 600
The Cost of 25th bomber is: 50 i.e Total coins spend: 650
The Cost of 26th bomber is: 52 i.e Total coins spend: 702
The Cost of 27th bomber is: 54 i.e Total coins spend: 756
The Cost of 28th bomber is: 56 i.e Total coins spend: 812
The Cost of 29th bomber is: 58 i.e Total coins spend: 870
The Cost of 30th bomber is: 60 i.e Total coins spend: 930
The Cost of 31st bomber is: 62 i.e Total coins spend: 992
Answer B
Answer: B
Question: In a single throw of a die, what is probability of getting a number greater than 4?
Options:
A)2/3
B)3/5
C)4/7
D)8/9
E)1/3
Rationale: E= {5,6}
n(E)=2
P(S)=n(E)/n(S)
=2/6
=1/3
Ans: E
Answer: E
Question: The area of a triangle will be when a = 3m, b = 5m, c = 10m, a, b, c being lengths of respective sides?
Options:
A)3
B)6
C)4
D)9
E)1
Rationale: S = (3 + 5 + 10)/2= 9 Answer:D
Answer: D
Question: Ben's income is 60% less than Rex's income, and Sam's income is 25% less than Ben's income. If Rex gave 60% of his income to Sam and 40% of his income to Ben, Ben's new income would be what fraction of Sam's new income?
Options:
A)8/9
B)11/12
C)8/13
D)11/13
E)12/13
Rationale: We can take some easy numbers and make calculations simpler.
Let R ( Rex's income) = 100
Q (Ben's income) = 40%R = 40
S (Sam's income) = 75% Q = (3/4)*40 = 30
Now, if Rex gives 40% to Ben --> Q = 40 + 40 = 80
60% given to Sam --> S = 30+60 = 90
The ratio is : Q/S = 80/90 = 8/9= A
Answer: A
Question: The average of 38 numbers is 45. If two numbers namely 32 and 45 are discarded, The average of
remaining numbers is?
Options:
A)35.5
B)47.5
C)39.5
D)45.3
E)44.3
Rationale: Total of 50 numbers = 38 * 45 = 1710
Average of 38 numbers = 1710-(32+45) / 36
= 1633 / 36 = 45.3
Answer is D
Answer: D
Question: A certain galaxy is known to comprise approximately 2 x 10^11 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun?
Options:
A)800
B)1,250
C)8,000
D)4,000
E)80,000
Rationale: Total no. of stars on galaxy = 2 * 10^11
Of every 50 million stars, 1 is larger than sun.
1 million = 10^6 therofore, 50 million = 50 * 10^6
total no. of stars larger than sun = 2 * 10^11 / 50 * 10^6
=20 * 10^3 /5
= 4000
therefore answer is D
Answer: D
Question: Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is
Options:
A)27
B)29
C)12
D)11
E)Cannot be determined
Rationale: Explanation:
There is no definite formula for finding prime numbers among 15 consecutive numbers. Hence the probability cannot be determined.
Answer:E
Answer: E
Question: The average of first nine prime numbers which are odd is?
Options:
A)12.55
B)13.55
C)14.55
D)11.55
E)12.95
Rationale: Sum of first 10 prime no. which are odd = 113
Average = 113/9 = 12.55
ANSWER:A
Answer: A
Question: A total of 535 players participated in a single tennis knock out tournament. What is the total number of matches played in the tournament? (Knockout means if a player loses, he is out of the tournament). No match ends in a tie.
Options:
A)511
B)512
C)534
D)255
E)1023
Rationale: There are 535 players, only 1 person wins, 534 players lose. in order to lose, you must have lost a game.
534 games.
Ans- C
Answer: C
Question: Three grades of milk are 2 percent, 3 percent and 5 percent fat by volume. If x gallons of the 2 percent grade, y gallons of the 3 percent grade, and z gallons of the 5 percent grade are mixed to give x+y+z gallons of a 4 percent grade, what is x in terms of y and z?
Options:
A)y + 3z
B)(y +z) / 4
C)2y + 3z
D)z/2
E)3y + 4.5z
Rationale: Based on the given information, the following equation could be dervied: 2% * x + 4% * y + 5% * z = 4% * (x+y+z) Then use algebra to figure out -2%*x = 0%*y - 1%*z. Thus, 2x = z.
D
Answer: D
Question: If x-y=8, which of the following must be true?
I. Both x and y are positive
II. If x is negative, y must be negative
III.If x is positive, y must be positive
Options:
A)I only
B)II only
C)III only
D)I and II
E)II and III
Rationale: The best way to approach such questions is to plug in values for x and y
Given: x-y=8
I. Both x and y are positive:
Let x=10 and y=2
x-y=8
But,
Let x=6 and y=-2
x-y=8
Therefore, NOT TRUE
III. If x is positive, y must be positive
Let x=10 and y=2
x-y=8
But,
Let x = 6 and y=-2
x-y=8
Therefore, NOT TRUE
II. If x is negative, y must be negative
If x is negative, for the expression x-y=8 to be true, y must be a -ve number. Otherwise, the sum of two negative numbers will yield another negative number!
Therefore, TRUE
Ans: 'B'
Answer: B
Question: In a school 10% of the boys are same in number as 1/3th of the girls. what is the ratio of boys to the girls in the school?
Options:
A)5:2
B)2:3
C)10:3
D)3:7
E)2:5
Rationale: 10% of B = 1/3 G
10B/100 = G/3
B = 10G/3
B/G = 10/3
B:G = 10:3
Answer is C
Answer: C
Question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Options:
A)11 kmph
B)10 kmph
C)18 kmph
D)15 kmph
E)16 kmph
Rationale: D
15 kmph
90 * 10/60 = 15 kmph
Answer: D
Question: Working together, 7 identical pumps can empty a pool in 6 hours. How many hours will it take 2 pumps to empty the same pool?
Options:
A)25
B)24
C)22
D)23
E)21
Rationale: The answer is E
7 pumps take 6 hours. 1 Pump will take 6*7 hours . Hence 2 pumps will take (6*7)/2 = 21 hours
Answer: E
Question: How many positive integers W less than 10,000 are such that the product of their digits is 210?
Options:
A)24
B)30
C)48
D)54
E)72
Rationale: 210 is the answer when 2, 3, 5 and 7 are multiplied. 210 can also be arrive using 5,6 and 7 and 1, 5, 6 and 7.
So sum of arrangements of 2357, 567 and 1567. This translates to 4! +3! + 4!, this equals to 24 + 6 + 24 = 54, D is the answer.
Answer: D
Question: A bag contains 2 red, 3 green, and 3 white balls. Three balls are picked up one by one without replacement. What is the probability that there will be at least one red ball?
Options:
A)5/7
B)9/14
C)13/21
D)17/28
E)23/35
Rationale: P(no red balls) = 6/8*5/7*4/6 = 5/14
P(at least one red ball) = 1 - 5/14 = 9/14
The answer is B.
Answer: B
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 37 seconds. Find the length of the faster train?
Options:
A)270
B)370
C)266
D)299
E)126
Rationale: Relative speed = (72 - 36) * 5/18 = 2 * 5 = 10 mps.
Distance covered in 37 sec = 37 * 10 = 370 m.
The length of the faster train = 370 m.
Answer: B
Answer: B
Question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:
Options:
A)60 gallons
B)100 gallons
C)120 gallons
D)180 gallons
E)80 gallons
Rationale: Let the capacity of tank x gallons. then in 1 minute tank filled (x/20+x/24-3)gallons
From the question we can write
15(x/20+x/24-3)=x [it took 15 min to fill x gallons]
x/20+x/24-x/15=3
(6x+5x-8x)/120=3
3x/120=3
x=120 gallons
ANSWER :C
Answer: C
Question: A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 3 days and B leaves after 2 days from the beginning. How long will work lost?
Options:
A)10 1/3
B)12 1/3
C)11 1/3
D)13 1/3
E)9 1/3
Rationale: 3/10 + 2/15 + x/20 = 1
x = 34/3 = 11 1/3
Answer: C
Answer: C
Question: A person was asked to state his age in years. His reply was, “Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am.” What was the age of the person?
Options:
A)14 years
B)18 years
C)20 years
D)32 years
E)none
Rationale: Solution
Let the present ages of the person be x years.
Then	3(x-3)-3(x-3)
‹=› x= (3x+9)-(3x-9)
x=18.
Answer B
Answer: B
Question: If a computer program generates three-digit odd numbers using the numbers 9, 7, 2, 4, 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: To mail a package, the rate is 15 cents for the first pound and 5 cents for each additional pound. Two packages weighing 5 pounds and 10 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?
Options:
A)Combined, with a saving of 5 cents
B)Separately, with a saving of 5 cents
C)Combined, with a saving of 15 cents
D)Separately, with a saving of 15 cents
E)Combined, with a saving of 10 cents
Rationale: 5 pounds = 1*15+4*5 = 35
10 pounds = 1*15+9*5 =60
total = 95
15 pound = 1*15+14*5 = 85
dif. 10
Answer : E
Answer: E
Question: If 213 × 16 = 3408, then 16 × 21.3 is equal to :
Options:
A)0.3408
B)3.408
C)34.08
D)340.8
E)None of these
Rationale: Solution
16 × 21.3 = (16x 213/10)= (16x 213/10) = 3408/10 = 340.8. Answer D
Answer: D
Question: A man buys a cycle for Rs. 2800 and sells it at a loss of 25%. What is the selling price of the cycle?
Options:
A)s. 2090
B)s. 2160
C)s. 2100
D)s. 2202
E)s. 2092
Rationale: S.P. = 75% of Rs. 2800 = Rs.	75	x 2800/100 = Rs. 1190
Answer: Option C
Answer: C
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 15%. Their gross income from sales for one month increases by what percent?
Options:
A)1.5%
B)2.5%
C)3.5%
D)4.5%
E)5.5%
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*1.15x = 1.035*(P*x), an increase of 3.5%.
The answer is C.
Answer: C
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 12 sec. What is the length of the platform?
Options:
A)187 m
B)350 m
C)267 m
D)287 m
E)675 m
Rationale: Speed = 300/12 = 25 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 =25
=> x = 675 m.
Answer:E
Answer: E
Question: {9,5,6,4,8,3,5}
What value should be added to the set of 7 values to get a median of 6?
Options:
A)5
B)3
C)1
D)4
E)6
Rationale: Median is the middle number of a sorted distribution. In case of even number of items, Median will be the average of middle two values.
The question asks fora new number that will cause the median of new set at 6.
Mentionable that given set is already sorted and number of items of new set will be 7+1 = 8.
To get median 3,the sum of 4th5th Term should be 12 and luckilyit's exactly same in the existing series i.e. 8+4.
So to keep the median 6, the new item should be >=4
The answer is D
Answer: D
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Options:
A)12
B)56
C)36
D)37
E)24
Rationale: Speed of the first train = 120/10 = 12 m/sec.
Speed of the second train = 120/5 = 8 m/sec.
Relative speed = 12 + 8 = 20 m/sec.
Required time = (120 + 120)/20
= 12 sec.
Answer:A
Answer: A
Question: How many digits are required to number a book containing 240 pages?
Options:
A)756
B)612
C)492
D)372
E)250
Rationale: 9 pages from 1 to 9 will require 9 digits.
90 pages from 10 to 99 will require 90*2=180 digits.
240-(90+9)=141 pages will require 141*3=423 digits.
The total number of digits is 9+180+423=612.
The answer is B.
Answer: B
Question: A train is moving at a speed of 132 km/hour. If the length of the train is 110 meters, how long will it
take to cross a railway plaƞorm 165 meters long
Options:
A)7 second
B)7.5 second
C)8 second
D)8.5 second
E)None of these
Rationale: Explanation:
As we need to calculate answer in seconds, so first convert speed into meter/sec.
we know 1 km/hr = 1*(5/18) m/sec
So, Speed = 132* (5/18) = 110/3 m/sec
Distance need to be covered in passing the plaƞorm =
Length of train + length of plaƞorm = 110 + 165
= 275 meters
Time = Distance/Speed
=>Time=275
∗
3110=152=7.5seconds
Answer: B
Answer: B
Question: Find the greatest number which on dividing 3815 and 4521, leaves a reminder of 31 and 33 respectively
Options:
A)88
B)56
C)89
D)86
E)96
Rationale: Explanation:
In this type of question, its obvious we need to calculate the HCF, trick is
HCF of (3815 - 31) and (4521 -33)
= HCF (3784, 4488) = 88
Option A
Answer: A
Question: On average, activated yeast cells divide once every 120 minutes; that is, each individual cell divides into two individual cells over that time span. Given that a certain yeast colony consisted of 310,000 cells two hours ago, approximately how many cells will be populating the colony four hours from now?
Options:
A)77,500
B)1,860,000
C)2,480,000
D)3,720,000
E)4,960,000
Rationale: 310,000 × 2 × 2×2 = 310,000 × 8 = C
Answer: C
Question: A person crosses a 300 m long street in 5 minutes. What is his speed in km per hour?
Options:
A)5.2 km/hr.
B)8.2 km/hr.
C)7.2 km/hr.
D)3.6 km/hr.
E)4.2 km/hr.
Rationale: D
3.6 km/hr.
Speed=(300/5 * 60) m/sec
= 1 m/sec.
Converting m/sec to km/hr
=(1*18/5) km/hr
= 3.6 km/hr.
Answer is D
Answer: D
Question: The average (arithmetic mean) of 9 numbers is 9. If 5 is added from each of 6 of the numbers, what is the new average?
Options:
A)8.9
B)46.35
C)41.6
D)7.6
E)12.3
Rationale: Sum of 9 numbers = 9*9=81
If 5 is added from each of six of the numbers , we added 5*6=30 from the total sum
Sum of 9 number after adding 5 from each of six of the numbers =81+30=111
New average =111/9=12.3
Answer (E)
Answer: E
Question: How many digits are required to write numbers between 1 to 100.
Options:
A)196
B)158
C)192
D)200
E)None
Rationale: Explanation:
Single digits are from 1 to 9 = 9 digits
Doubt digits are from 10 to 99 = 90 x 2 = 180 digits
100 needs 3 digits. Total 192 digits
Correct Option: C
Answer: C
Question: Express a speed of 54 kmph in meters per second?
Options:
A)10 mps
B)76 mps
C)15 mps
D)97 mps
E)16 mps
Rationale: 54 * 5/18
= 15 mps
Answer:C
Answer: C
Question: In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 161 hats in this group, how many of these hats are not blue?
Options:
A)28
B)112
C)48
D)64
E)76
Rationale: B:G:P = 7:4:12 --> total of 23 parts.
Not blue = (G + P)/(total)*92 = 16/23*161 = 112.
Answer: B.
Answer: B
Question: if each of its sides of a rectangle is increased by 12%, what is the percentage increase in the area of the rectangle, ?
Options:
A)24.44%
B)22.44%
C)26.44%
D)25.44%
E)29.44%
Rationale: Assume original length = 100m by 50m
original area = 100*50= 5000
12% increase on each side
l = 100 + 12 = 112
w = 50 + 6 = 56
new area = 112*56= 6272
increase in area = 6272 - 5000 = 1272
%increase =25.44%
Answer D
Answer: D
Question: Find the angle between the hour hand and the minute hand of a clock when the time is 3.25.
Options:
A)45°
B)37 1⁄2°
C)47 1⁄2°
D)46°
E)None of these
Rationale: Angle traced by the hour hand in 12 hours = 360°
Angle traced by it in 3 hrs 25 min. i.e. 41⁄12 hrs.
= (360⁄12 × 41⁄12)° = 1021⁄2°
Angle traced by it in 25 min. = (360⁄60 × 25)° = 150°
Required angle = (150° × 1021⁄2°) = 471⁄2°
Answer C
Answer: C
Question: A certain article of clothing was discounted during a special sale to 3/4 of its original retail price. When the clothing didn't sell, it was discounted even further to 1/3 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the second sale?
Options:
A)50%
B)33.33%
C)25%
D)55.55%
E)12.5%
Rationale: Say the original retail price of the item was $200.
The price after the first sale = 3/4 * $200 = $150.
The price after the second sale =1/3 * $200 = $200/3.
The percent change from the first sale to the second = (150 - 200/3) / 150 = 1/3 = 55.55%.
Answer: D.
Answer: D
Question: If an object travels at ten feet per second, how many feet does it travel in one hour?
Options:
A)34880
B)37780
C)36000
D)18000
E)28810
Rationale: Explanation:
If an object travels at 5 feet per second it covers 5x60 feet in one minute, and 5x60x60 feet in one hour.
Answer = 36000
Answer: C) 36000
Answer: C
Question: Meena wrote number starting from 1 till 19999.Then how many digits did she write ?
Options:
A)87889
B)88889
C)89889
D)88789
E)88989
Rationale: 1-9=>1*9 digits
10-99=>2*90=180(numbers between 10-99 is 90 where each no has 2 digits)
100-999=>3*900=2700
1000-9999=>4*9000
10000-19999=>5*10000
so ans is 88889
ANSWER:B
Answer: B