divelab/Sys2Bench huggingface dataset:
Question: In a cinema hall for the matinee show which started at 2.30 pm and ended at 5.30 pm the vehicle parking lot had only three wheelers (auto rickshaws) and four wheelers. Today the wheels of the vehicles parked was counted and found to be 240. What could be the number of three wheelers parked therein ?
Options:
A)10
B)48 wheelers
C)37
D)97
E)12
Rationale: 3X + 4y = 240
by substitute through options 48 is correct
Answer: B
Answer: B
Question: To fill an art exhibit, the students in an art course are assigned to create one piece of artwork each in the following distribution: 1/3 are sculptures, 1/8 are oil paintings, 1/2 are watercolors, and the remaining 10 pieces are mosaics. How many students are in the art class?
Options:
A)80
B)120
C)240
D)320
E)400
Rationale: Let the total number of students in the art class = s
Distribution of artwork is as
1/3 are sculptures
1/8 are oil paintings
1/2 are watercolors, and the remaining 10 pieces are mosaics
(1/3)s +(1/8)s +(1/2)s + 10 = s
Since remaining 10 pieces are mosaics , (1/24)s = 10
s = 240
Answer C
Answer: C
Question: A garrison of 400 men had a provision for 31 days. After 26 days 275 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
Options:
A)16 days
B)45 days
C)10 days
D)17 days
E)18 days
Rationale: 400 --- 31
400 --- 5
125 --- ?
400*5 = 125*x => x =16 days.
Answer: A
Answer: A
Question: Simplify: 0.4*0.5+0.3*0.2
Options:
A)0.52
B)0.26
C)0.48
D)0.64
E)0.46
Rationale: Given exp. = 0.4*0.5+(0.3*0.2) = 0.2+0.06 = 0.26
Answer is B.
Answer: B
Question: The population of a village is 12000. It increases annually at the rate of 24% p.a. What will be its population after 2 years?
Options:
A)14567
B)18451
C)18789
D)18786
E)14400
Rationale: Formula :
( After =100 denominator
Ago = 100 numerator)
12000 × 124/100 × 124/100 = 18451
B
Answer: B
Question: For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity. In December, the worker earned N times his usual monthly salary and donated one-fifth of his earnings to charity. If the worker's charitable contributions totaled one-sixth of his earnings for the entire year, what is the value of N?
Options:
A)8/5
B)22
C)3
D)11/3
E)4
Rationale: Let monthly salary for each of the 11 months except December was x, then
11x*1/10 + Nx*1/5 = 1/6(11x + Nx);
11/10 + N/5 = 1/6(11 + N)
11+2N/10 = 11+N/6 =>66+12N = 110+10N =>2N=44
N = 22
Answer: B
Answer: B
Question: A man gets a simple interest of Rs.300 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?
Options:
A)s.256
B)s.315
C)s.415
D)s.514
E)s.615
Rationale: Let the principal be Rs.P
S.I at 5% p.a in 2 years on Rs.P = Rs.300
(P)(2)(5)/100 = 300
P = 3000
C.I on Rs.2P i.e., Rs.6000 at 5% p.a in two years
=6000{ [1 + 5/100]^2 - 1}
= 6000(41/400)
= Rs.615
Answer:E
Answer: E
Question: A woman gains 20% by selling an article for a certain price. If the sells it at double the price, the percentage of profit will be:
Options:
A)60%
B)34%
C)140%
D)100%
E)55%
Rationale: C
C.P. = Rs. x.
Then, S.P. = Rs. (12% of x) = Rs. 6x/5
New S.P. = 2 * 6x/5 = Rs. 12x/5
Profit = 12x/5 - x = Rs. 7x/5
Profit = 7x/5 * 1/x * 100 = 140%.
Answer: C
Question: Jupiter travels around the sun at a speed of approximately 8.1 miles per second. The approximate speed is how many miles per hour?
Options:
A)20,180
B)23,120
C)26,140
D)29,160
E)32,240
Rationale: 8.1 * 3600 = 29,160
The answer is D.
Answer: D
Question: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 24 men reap in 62 days?
Options:
A)266.5
B)413.3
C)425.8
D)189.3
E)249.6
Rationale: 12 men 120 acres 36 days
24 men ? 62 days
120 * 24/12 * 62/36
120 * 2 *31/18
240* 1.72 = 413.3
Answer:B
Answer: B
Question: In the question A^B means A raised to the power of B. What is the value of A such that
X^2-11x+A and X^2 -14X +2A will have a common factor?
Options:
A)-1/2
B)24
C)-3
D)20
E)15
Rationale: due to quadratic equation..... the factor will be like (x-a)(x-b)
lets assume (x-k) is the common factor the
x=k is the root of both the eqn
X^2-11X+A=0 , & X^2-14X+2A=0
satisfying these two equations we get
k^2-11k+A=0 ..................................(1)
k^2-14k+2A=0 ..................................(2)
on solving we will get
k=A/3
substituting this in eq 1 we get A=0 and A= 24
so A=24
ANSWER:B
Answer: B
Question: Bob bikes to school every day at a steady rate of e miles per hour. On a particular day, Bob had a flat tire exactly halfway to school. He immediately started walking to school at a steady pace of y miles per hour. He arrived at school exactly t hours after leaving his home. How many miles is it from the school to Bob's home?
Options:
A)(x + y) / t
B)2(e + t) / ey
C)2eyt / (e + y)
D)2(e + y + t) / ey
E)x(y + t) + y(x + t)
Rationale: If we choose for d (distance): 10 miles, for e 10 and for y 5.
t would be 90 minutes or 1,5 hours.
If I try this for answer choice C it fits.
Answer: C
Question: Dany bought a total of 28 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy?
Options:
A)4
B)10
C)7
D)28
E)12
Rationale: Let X be the number of cards that cost $0.25 each and Y the number of cards that cost $0.15 each. The total number of cards is 28. Hence
X + Y = 28
If X is the number of cards at $0.25, then the X cards cost
0.25 X
If Y is the number of cards at $0.15, then the Y cards cost
0.15 Y
The total cost of the X cards and the the Y cards is known to be $4.2 and also given by
0.25 X + 0.15 Y = 4.2
We now need to solve the system of equations
X + Y = 28
0.25 X + 0.15 Y = 4.2
The first equation gives Y = 28 - X. Substitute y by 28 - x in the second equation and solve
0.25 X + 0.15 (28 - X) = 4.2
X(0.25 - 0.15) + 4.2= 4.2
0.1 X = 0
X = 0 and Y = 28 - 0 = 28
correct answer D
Answer: D
Question: One fourth of a solution that was 10% sugar by weight was replaced by a second solution resulting in a solution that was 20 percent sugar by weight. The second solution was what percent sugar by weight?
Options:
A)65%
B)50%
C)22%
D)18%
E)8.5%
Rationale: Say the second solution (which was 1/4 th of total) was x% sugar, then 3/4*0.1+1/4*x=1*0.20 --> x=0.5. Alternately you can consider total solution to be 100 liters and in this case you'll have: 75*0.1+25*x=100*0.20 --> x=0.5.
Answer: B.
Answer: B
Question: Three pipes A, B and C can fill a tank in 7 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 8 hours. How many hours will take C alone to fill the tank?
Options:
A)35/8
B)38/7
C)43/6
D)49/4
E)56/3
Rationale: The rate of A+B+C is 1/7 of the tank per hour.
After 2 hours, the tank is 2/7 full.
The rate of A+B is 5/7 * 1/8 = 5/56 of a tank per hour.
The rate of C is 1/7 - 5/56 = 3/56
C can fill the tank in 56/3 hours.
The answer is E.
Answer: E
Question: If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same sum at the rate and for the same time?
Options:
A)Rs. 51.25
B)Rs. 52
C)Rs. 54.25
D)Rs. 60
E)Rs. 70
Rationale: Sum = (50 * 100) / (2 * 5) = Rs. 500
Amount = [500 * (1 + 5/100)2] = Rs. 551.25
C.I. = (551.25 - 500) = Rs. 51.25.
ANSWER:A
Answer: A
Question: What number comes next in this Number series.
5 3 4 4 6 9 7 ?
*Hint: check calende
Options:
A)8
B)3
C)6
D)1
E)7
Rationale: E
8 (the number of letters in the month November)
April : 5 letters
May : 3 letters
June : 4 letters
July : 4 letters
August: 6 letters
September : 9 letters
October : 7 letters
Answer: A
Question: A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
Options:
A)59020
B)59299
C)59020
D)59300
E)59008
Rationale: Interest received by A from B = 10% of half of Rs.50000 = 10% * 25000 = 2500.
Amount received by A per annum for being a working partner = 1500 * 12 = Rs.18000.
Let 'P' be the part of the remaining profit that A receives as his share. Total income of A = (2500 + 18000 + P)
Total income of B = only his share from the remaining profit = 'P', as A and B share the remaining profit equally.
Income of A = Twice the income of B
(2500 + 18000 + P) = 2(P)
P = 20500
Total profit = 2P + 18000
= 2*20500 + 18000 = 59000
Answer: D
Answer: D
Question: What is the perimeter of a square field whose diagonal is 8√2?
Options:
A)17 min
B)19 min
C)18 min
D)20 min
E)12 min
Rationale: In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages.
Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr.
stoppage time = 20/60 hrs
=20 min.
Answer: D
Answer: D
Question: 100 people are attending a newspaper conference. 45 of them are writers and more than 36 are editors. Of the people at the conference, x are both writers and editors and 2x are neither. What is the largest possible number of people who are both writers and editors?
Options:
A)26
B)24
C)18
D)20
E)22
Rationale: {Total}={Writers}+{Editors}-{Both}+{Neither}.
{Total}=100;
{Writers}=45;
{Editors}>38;
{Both}=x;
{Neither}=2x;
100=45+{Editors}-x+2x --> x=55-{Editors}. We want to maximize x, thus we should minimize {Editors}, minimum possible value of {Editors} is 37, thus x={Both}=55-37=18.
Answer:C .
Answer: C
Question: A number is doubled and 5 is added. If the resultant is trebled, it becomes 111. What is that number?
Options:
A)12
B)29
C)27
D)16
E)99
Rationale: Explanation:
Let the number be x.
Therefore,
3(2x + 5) = 111
6x + 15 = 111
6x = 96
x = 16
ANSWER:D
Answer: D
Question: Of the 200 students at University XYZ majoring in one or more of the engineering disciplines, 140 are majoring in electrical and 150 are majoring in mechanical. If at least 30 of the students are not majoring in either electrical or mechanical, then the number of students majoring in both electrical and mechanical could be any number from
Options:
A)30 to 70
B)70 to 100
C)90 to 110
D)130 to 150
E)150 to 170
Rationale: if there are 140 students majoring in electrical then there must be 60 person not majoring electrical at all, since both of the student not majoring electrical and mechanical is at least 30, so the number of the student who are not majoring electrical but majoring mechanical will be at least 30.
if there are 150 students majoring in mechanical there must be 50 students who are not majoring mechanical at all, since the number of the student who are not majoring electrical but majoring mechanical will be at least 30, hence the number of students both majoring mechanical and electrical will be at least 90
so there must be at least 90 students who major in both
see the answers option the only possible answer is C !
Answer: C
Question: A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 600 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day?
Options:
A)2880.
B)4860.
C)5780
D)4320
E)6380.
Rationale: Normal Day = 600 kw/h
Stormy Day = 600*1.2=720 kw/h
3 windmills for 2 hours on stormy day
720*3*2=4320
Answer: D
Answer: D
Question: What is the total number of prime numbers less than 65?
Options:
A)17
B)18
C)19
D)20
E)21
Rationale: Solution
Prime numbers less than 65 are	=18.
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61
Their number is 18.
Answer B
Answer: B
Question: A, B, C together started a business. A invested Rs.400 for 5 months B invested Rs.1200 for 6 months and C Rs.1600 for 3 months. If they get a total profit of Rs.7000. Find the share of A?
Options:
A)2999
B)3000
C)2777
D)500
E)17212
Rationale: 1*5:3*6:4*3
5: 18: 12
5/35 * 3500 = 500
Answer:D
Answer: D
Question: In the equation ax^2 + bx + c = 0 a, b, and c are constants, and abc # 0. If one root of the equation is -2, and b = 4a then which of the following is c equal to?
Options:
A)a/12
B)a/8
C)4a
D)8a
E)12a
Rationale: The sum of the roots is = -b/a = -4a/a = -4. Let the other root be x. Thus, x-2 = -4
x = -2. Again, the product of the roots is -2*-2 = 4. Thus, c/a =4. c = 4a.
C.
Answer: C
Question: 12 : 6 seconds :: ? : 8 minutes
Options:
A)10
B)15
C)16
D)25
E)30
Rationale: 12*8=6*x
x=16
ANSWER:C
Answer: C
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -.
Options:
A)1/4
B)1/2
C)3/4
D)3/5
E)None of these
Rationale: The number of exhaustive outcomes is 36.
Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2
P(E) = 1 - 1/2 = 1/2.
ANSWER:B
Answer: B
Question: There were totally 100 men.80 are married.75 have T.V, 85 have radio,70 have A.C. How many men have T.V, radio, A.C and also married?
Options:
A)10
B)12
C)13
D)14
E)15
Rationale: 100-(100-80)-(100-75)-(100-85)-(100-70)= 100-20-25-15-30=100-90=10
ANSWER:A
Answer: A
Question: A number when divided by 296 leaves 75 as remainder when the same number is divided by 37 then the remainder will be?
Options:
A)2
B)9
C)6
D)5
E)1
Rationale: let x=296q+75=(37*8q+37*2)+1
37*(8q+2)+1
thus when the number is divided by 37 the remainder is 1
Answer(E)
Answer: E
Question: A university needs to select a nine-member committee on extracurricular life, whose members must belong either to the student government or to the student advisory board. If the student government consists of 9 members, the student advisory board consists of 8 members, and 6 students hold membership in both organizations, how many different committee are possible?
Options:
A)44
B)55
C)66
D)77
E)88
Rationale: student government + the student advisory board consists of 9 + 8 = 17 members.
6 students hold membership in both, so they were counted twice.
The total number of people to choose from is 17 - 6 = 11
The number of ways to choose 9 members from 11 is 11C9 = 55
The answer is B.
Answer: B
Question: If a coin is flipped, the probability that the coin will land tails is 1/2. If the coin is flipped 4 times, what is the probability that it will land tails up on the first 2 flips and not on the last 2 flips?
Options:
A)1/4
B)1/8
C)1/2
D)1/16
E)1/32
Rationale: (1/2) * (1/2) * (1/2) * (1/2) = 1/16 Answer: D
Answer: D
Question: 12.036 divided by 0.04 gives :
Options:
A)30.09
B)300.9
C)30.06
D)100.9
E)300.6
Rationale: = 12.036/0.04
= 1203.6/4
= 300.9
Answer is B.
Answer: B
Question: Arrange the given words in the sequence in which they occur in the dictionary and choose the correct sequence.
1. Economic
2. Earlier
3. Each
4. Edition
5. Eager
Options:
A)3, 4, 1, 5, 2
B)2, 1, 3, 5, 4
C)3, 2, 4, 1, 5
D)3, 5, 2, 1, 4
E)None of these
Rationale: Explanation:
The correct alphabetical order is
Each, Eager, Earlier, Economic, Edition
ANSWER D
Answer: D
Question: 265.124 x 11.98 Ã· 8.001 + 32.28 = ?
Options:
A)983.578
B)659.121
C)781.189
D)429.966
E)456.512
Rationale: Explanation:
? = 265.124 x 11.98 Ã· 8.001 + 32.28
â‰ˆ (265.124 x 12/8) + 32.28 â‰ˆ 397.686 + 32.28 â‰ˆ 429.966
Answer: Option D
Answer: D
Question: On increasing the price of T.V. sets by 80%, their sale decreases by 20%. What is the effect on the revenue receipts of the shop ?
Options:
A)44
B)5
C)56
D)2
E)7
Rationale: Explanation:
Let the price be = Rs.100, and number of units sold = 100
Then, sale value = Rs.(100 × 100) = Rs.10000
New sale value = Rs.(180 × 80) = Rs.14400
Increase% =4400/10000 × 100 = 44%
Answer: A
Answer: A
Question: Margaret is 12 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages
Options:
A)10yrs
B)24yrs
C)30yrs
D)40yrs
E)50yrs
Rationale: Let, age of son x=12
Margaret is 12 years more than twice the age of his son, y = 8+2(x)
=12+2(12)
=12+24
=36yrs
Difference = 36 - 12
=24yrs
ANSWER:B
Answer: B
Question: The sum of ages of 5 children born 3 years different each is 65 yrs. What is the age of the Elder child?
Options:
A)17
B)19
C)16
D)18
E)21
Rationale: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 65
5x = 35
x = 7.
x+12= 7+12= 19
B
Answer: B
Question: The average age 8 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Options:
A)12 years
B)14 years
C)18 years
D)16 years
E)26 years
Rationale: 8 * 2 = 16 years
ANSWER:D
Answer: D
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Options:
A)7
B)4
C)6
D)9
E)3
Rationale: 65*(90/100)*((100-x)/100) = 56.16
x = 4%
Answer: B
Answer: B
Question: Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 40 MPH between the 2 friends until the friends meet. How many miles does the pigeon travel?
Options:
A)54
B)110
C)120
D)16
E)180
Rationale: C
120
It takes 3 hours for the friends to meet; so the pigeon flies for 3 hours at 40 MPH = 120 miles
Answer: C
Question: Forty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?
Options:
A) 60
B) 70
C) 100
D) 120
E) 140
Rationale: 40% of the members have passed the test, thus 60% have not passed the test.
We also know that 30+12=42 members have not passed the test, thus 0.6*Total=42 --> Total=70.
Answer: B.
Answer: B
Question: Two trains travel in the same direction at the speeds of 56km/hr. and 29km/hr. respectively. The faster train passes a man in the slower trains in 10 seconds. The length of the faster train (in metres) is
Options:
A)100
B)80
C)75 m
D)120
E)130
Rationale: Explanation:
The relative speed is 56-29 Km/hr =(27/18) X 5= 7.5 m/s2718×5=7.5m/s
The faster train travels only the length of it’s own = 7.5 x 10 = 75 m
Answer C
Answer: C
Question: For a,r,d are the positive integers, and d|a means that “a is divisible by d”, if d|ar, which of the following must be true?
Options:
A)d|a
B)d|r
C)d|2ar
D)d|(a+r)
E)d|(a-r)
Rationale: d/a means a is divisible by d
d/ar means ab divisible by d.
all are integers so ,
if ar is divisible by d,
1 a can be divisible by d
or
2 r can be divisble by d.
so the question stem asks must true.
so option a and b are could but not must.
option c is 2ar divisible by d. if ab is divisible by d then 2ar is divisible by d.
option d and e we can't predict.
so option C is correct.
Answer: C
Question: On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?
Options:
A)0
B)1
C)2
D)4
E)5
Rationale: Explanation:
Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder.
x = 5k + 3
x2 = (5k + 3)2
= (25k2 + 30k + 9)
= 5(5k2 + 6k + 1) + 4
On dividing x2 by 5, we get 4 as remainder.
ANSWER IS D
Answer: D
Question: There are 13 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Options:
A)288
B)267
C)261
D)211
E)210
Rationale: The total number of stations = 15
From 15 stations we have to choose any two stations and the direction of travel (i.e., Hyderabad to Bangalore is different from Bangalore to Hyderabad) in 15P₂ ways.
15P₂ = 15* 14= 210.
Answer: E
Answer: E
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance travelled by them if the slower car takes 1 hour more than the faster car.
Options:
A)900
B)950
C)960
D)1000
E)930
Rationale: 60(x + 1) = 64x
X = 15
60 * 16 = 960 km
ANSWER C
Answer: C
Question: Walking with 5/4 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
Options:
A)18
B)19
C)20
D)22
E)24
Rationale: Speed Ratio = 1:5/4 = 4:5
Time Ratio = 5:4
1 -------- 5 4 --------- ? è 20
ANSWER:C
Answer: C
Question: Morgan Construction has 4 Senior Managing Directors and 4 Managing Directors. Each investment banking deal requires the guidance of three managing directors, at least one of which must be a Senior Managing Director. How many possible investment banking deals can Morgan Constuction possibly provide guidance for?
Options:
A) 16
B) 36
C) 52
D) 54
E) 64
Rationale: P(at least 1 S D) = P(Total) - P(0 Senior Director)
=8C3 - 4C3
= 52
Answer: C
Question: The manager of a produce market purchased a quantity of tomatoes for $0.80 per pound. Due to improper handling, 15 percent of the tomatoes, by weight, were ruined and discarded. At what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 8 percent of the cost of the tomatoes.
Options:
A)$0.94
B)$0.96
C)$0.98
D)$1.02
E)$1.20
Rationale: Assume the manager bought 100 tomatoes.
Cost Price = 80
Given: 15% are damaged --> Available tomatoes to sell = 85
85 * x - 80 = 0.08 * 80
85x - 80 = 6.4
85x = 86.64
x = 86.64/85 = 87/85 (approx) = 1.023
x is slightly under 1.023 = 1.02
Answer: D
Answer: D
Question: A clock shows the time as 7 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p.m.?
Options:
A)45 minutes
B)55 minutes
C)35 minutes
D)25 minutes
E)40 minutes
Rationale: there are 11 hours in between 7 a.m. to 6 p.m.
11*5=55 minutes.
ANSWER:B
Answer: B
Question: Two persons starting from the same place walk at a rate of 5kmph and 8kmph respectively. What time will they take to be 27km apart, if they walk in the same direction?
Options:
A)17 hrs
B)9 hrs
C)25 hrs
D)12 hrs
E)14 hrs
Rationale: The relative speed of the boys = 8kmph â€“ 5kmph
= 3 kmph
Distance between them is 27 km
Time= 27km / 3 kmph = 9 hrs
Answer : B.
Answer: B
Question: As they say, beggars can't be choosers, in fact begger take what they can get. A begger on the street can make one cigarette out of every 6 cigarette butts he finds. After one whole day of searching and checking public ashtrays the begger finds a total of 72 cigarette butts. How many cigarettes can he make and smoke from the butts he found?
Options:
A)14
B)18
C)15
D)10
E)20
Rationale: E
20
If the beggar can make a whole cigarette from 6 butts then he can make 12 cigarettes from the 72 he found. Once he smokes those, he then will have another 12 butts, which gives him enough to make another 2 cigarettes. A total of 14.
Answer: A
Question: The length of a rectangular plot is 10mtr more than its width. The cost of fencing the plot along its perimeter at the rate of Rs. 6.5mtr is Rs.910. The perimeter of the plot is?
Options:
A)126
B)156
C)190
D)140
E)260
Rationale: Sol. Let width = x, Length = (10+x)
Perimeter = 2(x+(10+x))
= 2(2x=10)
& 2(2x+10)*6.5 = 910
X = 30
Required perimeter = 2(30+40) = 140
D
Answer: D
Question: Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word BANANA could be arranged to create a six-letter code?
Options:
A)A)6!
B)− (3! + 2!)
C)− (3! × 2!)
D)+ 2!)
E)× 2!)
Rationale: Number of letters in word 'BANANA' = 6.
The letters 'A' and 'N' appear 3 times and 2 times respectively in the word 'BANANA'.
Therefore the mathematical solution for number of ways that the letters of the word BANANA can be arranged to create six-letter code
= 6!/(3!*2!)
Answer: E
Answer: E
Question: The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is?
Options:
A)Rs. 2.50
B)Rs. 3
C)Rs. 3.75
D)Rs. 4
E)Rs. 5
Rationale: S.I. = (1200 * 10 * 1)/100 = Rs. 120
C.I. = [1200 * (1 + 5/100)2 - 1200] = Rs. 123 Difference = (123 - 120) = Rs. 3.
ANSWER:B
Answer: B