divelab/Sys2Bench huggingface dataset:
Question: In a clothing store, there are six different colored neckties (red, orange, yellow, green, blue, and indigo) and three different colored shirts (red, orange, yellow, green, blue, and indigo) that must be packed into boxes for gifts. If each box can only fit one necktie and one shirt, what is the probability that all of the boxes will contain a necktie and a shirt of the same color?
Options:
A)719/720
B)1/120
C)2/233
D)1/6
E)1/720
Rationale: 6 ties and 6 shirts...
red tie can take any of 6 shirts..
orange can take any of the remaining 5 shirts
yellow any of remaining 4..
and so on till last indigo chooses the 1 remaining..
Total ways= 3*2*1= 6
out of this 6, ONLY 1 way will have same colour tie and shirt..
prob = 1/6
D
Answer: D
Question: The circulation for magazine Z in 1971 was 6 times the average (arithmetic mean) yearly circulation for magazine Z for the years 1972-1980. What is the ratio of the circulation in 1971 to the total circulation during 1971-1980 for magazine Z ?
Options:
A)4/7
B)5/7
C)3/7
D)2/7
E)1/7
Rationale: There are 9 years from 1972-1980, inclusive. Let's say the average circulation every year between 1972-1980 inclusive is x.
So the total circulation is 9x from 1972-1980, inclusive.
In 1971, the circulation is 6x.
So total circulation for 1971-1980 is 6x + 9x = 15x.
Ratio of circulation in 1971 to total circulation during 1971-1980 is 6x to 14x or 6/14=3/7
Answer : C
Answer: C
Question: Evaluate : 37 x 181+ 37 x 319
Options:
A)22500
B)15500
C)18500
D)25000
E)None of them
Rationale: 37 x 181 + 37 x 319 = 37 x (181 + 319) = 37 x 500 = 18500.
Answer is C.
Answer: C
Question: A bike covers a certain distance at the speed of 64km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?
Options:
A)80.34 km/h
B)85.34 km/h
C)90.30 km/h
D)92.25 km/h
E)97.74 km/h
Rationale: Ans.(B)
Sol. Total distance = 64 × 8 = 512 km
Now speed = 512/6 = 85.34 km/h
Answer: B
Question: A man can row his boat with the stream at 18 km/h and against the stream in 4 km/h. The man's rate is?
Options:
A)1 kmph
B)3 kmph
C)8 kmph
D)7 kmph
E)5 kmph
Rationale: DS = 18
US = 4
S = ?
S = (18 - 4)/2 = 7 kmph
Answer: D
Answer: D
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Options:
A)288
B)277
C)200
D)150
E)982
Rationale: Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + 100 / 25 = x / 15
x = 150 m.
Answer:D
Answer: D
Question: A number is greater than 3 but less than 8. Also the number is greater than 6 but less than 10. What is the number?
Options:
A)5
B)7
C)6
D)8
E)9
Rationale: B 7
Answer: B
Question: By how much is three-fifth of 340 greater than four-seventh of 210 ?
Options:
A)90
B)100
C)110
D)120
E)84
Rationale: Explanation:
3/5 of 340 - 4/7 of 210 = 204 - 120 = 84.
Answer: E
Answer: E
Question: Albert invested amount of 8000 in a fixed deposit for 2 years at compound interest rate of 5 % per
annum. How much Albert will get on the maturity of the fixed deposit
Options:
A)Rs. 8510
B)Rs. 8620
C)Rs. 8730
D)Rs. 8820
E)None of these
Rationale: Explanation:
=>(8000×(1+5100)2)=>8000×2120×2120=>8820
Answer:D
Answer: D
Question: At the store, Sam bought a shirt and a toaster. There was a 7% sales tax on each item, and with tax, Sam paid a total of K. If the price of the toaster before tax was T, what, in terms of K and T, is the price of the shirt before tax?
Options:
A)0.93(K – T)
B)0.93K – T
C)0.93(K – 1.07T)
D)(K – T)/1.07
E)(K/1.07) – T
Rationale: 1.07S + 1.07T = K
1.07S = K - 1.07T
S = (K/1.07) - T
The answer is E.
Answer: E
Question: V is the volume of a cylinder; the radius of the cylinder is 3.4. The height of the cylinder is 550% more than the radius. Which of the following is true?
Options:
A)100 < V < 300
B)300 < V < 500
C)500 < V < 700
D)700 < V < 900
E)900 < V < 1100
Rationale: Volume of a cylinder is pi*(r^2)*h
h>5.5r+r ---> h>6.5*3.4
So, volume is > 3.14*3.4*3.4*6.5*3.4=800 (approx)
Hence, answer will be D.
Answer: D
Question: Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 20 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
Options:
A)10%
B)12%
C)15%
D)27%
E)37%
Rationale: Lets assume that candidate got 20% votes and total votes is 100.
Candidate won = 20
Remaining = 80
To get 50%, candidate requires 30 votes from 100 which is 30% and 30 votes from 80.
30/80 = 37.5%
Which is approx 37%. Hence the answer is E
Answer: E
Question: 7+2=56
6+3=48
5+5=45
2+1=4
4+9=??
Solve it?
Options:
A)92
B)48
C)42
D)38
E)72
Rationale: x+y=x[y+(x-1)]=x^2+xy-x
7+2=7[2+(7-1)]=49+14-7=56
6+3=6[3+(6-1)]=36+18-6=48
5+5=5[5+(5-1)]=25+25-5=45
2+1=2[1+(2-1)]=4+2-2=4
4+9=4[9+(4-1)]=16+36-4=48
Answer :B
Answer: B
Question: George baked a total of 175 pizzas for 7 straight days, beginning on Saturday. He baked 3/5 of the pizzas the first day, and 3/5 of the remaining pizzas the second day. If each successive day he baked fewer pizzas than the previous day, what is the maximum number of pizzas he could have baked on Wednesday?
Options:
A)2
B)3
C)4
D)6
E)7
Rationale: 3/5 of the 175 pizzas cooked on Saturday = 105 pizzas
3/5 of the remaining pizzas on Sunday = 42 pizzas
We're left with (175-105-42) =28 pizzas for the remaining 5 days. The prompt tells us that each day has FEWER pizzas than the day before it, so we can't have duplicate numbers.
M T W TH F
8 7 6 4 3=28
W=6
D
Answer: D
Question: A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
Options:
A)24
B)77
C)66
D)89
E)12
Rationale: 10/40 + 10/30 + 10/x = 1
x = 24 days
Answer:A
Answer: A
Question: Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself?
Options:
A)8 years
B)9 years
C)6 years
D)4 years
E)5 years
Rationale: 4 years
Answer:D
Answer: D
Question: The edges of three metal cubes are 1 cm, 2 cm, and 3 cm respectively. A new cube is made by melting these three cubes together. What is the edge of the new cube (in centimeters)?
Options:
A)3.3
B)3.5
C)3.7
D)3.9
E)4.1
Rationale: The total volume is 1^3+2^3+3^3=36
The edge of the new cube is the cube root of 36 which is about 3.3 cm.
The answer is A.
Answer: A
Question: Kim has 5 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 10 shoes, what is the probability that she will select 2 shoes of the same color?
Options:
A)2/5
B)1/5
C)1/9
D)1/10
E)1/25
Rationale: Total pairs = 10C2 = 45; Same Color Pairs= 5C1*1C1=5; Prob = 1/9
Or 2/10 * 1/9 * 5 = 1/9
Ans C
Answer: C
Question: Four of the five parts numbered (a), (b), (c), (d) and (e) are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Options:
A)(2x + 3y)2
B)(2y – x)2 + y(16x + 5y)
C)4x(x + 2y) + y(4x + 9y)
D)(2x + 2y)2 + y(4x + 5y)
E)(2x – y)2 + 8y(2x + y)
Rationale: Others are requal to 4x2 + 9y2 + 12xy.
Answer B
Answer: B
Question: In what time will a railway train 80 m long moving at the rate of 40 kmph pass a telegraph post on its way?
Options:
A)3
B)5
C)4
D)6.4
E)7.2
Rationale: T = 80/40 * 18/5 = 7.2 sec
Answer:E
Answer: E
Question: Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar?
Options:
A)2288
B)2677
C)6000
D)2700
E)2881
Rationale: 10 * 4/100 * 5 * 90/100 = 25/100 * 15/100 * 8/100 * x
10 * 20 * 90 = 15 * 2 * x => x = 6000
Answer: C
Answer: C
Question: At what rate p.a a sum of Rs. 2400 will become Rs. 3600/- in 5 years.
Options:
A)10%
B)15%
C)20%
D)12%
E)23%
Rationale: Explanation:
principal P = 2400/-
Rate of interest R = ?
Time T = 5 years
Accumulated Amount A = Rs.10400/-
A = P + I
A = P + PTR/100
A = P(1+ TR/100)
2400[ 1 + (5 x R)/100] = 3600
2[(20 + R)/20] = 3
20 + R = 30
R = 10%
Answer: Option A
Answer: A
Question: The sum of the squares of three number is 138,while the sum of their products taken two at a time is 131. their sum is :
Options:
A)20
B)30
C)40
D)None of these
E)Cannot be determined
Rationale: Solution
Let the numbers be a,b and c then, a 2 + b 2+ c 2 = 138 and (ab + b c + ac) = 131.
(a + b+ c)2 = a 2 + b 2 + c 2 + 2(ab + b c + ca) = 138 + 2 * 131 = 400 .
⇒ (a + b + c) = 400/20= 20
Answer A
Answer: A
Question: What distance will be covered by a bus moving at 72 kmph in 30 seconds?
Options:
A)287
B)600
C)289
D)276
E)207
Rationale: 72 kmph = 72 * 5/18
= 20 mps
D = Speed * time = 20 * 30
= 600 m.
Answer:B
Answer: B
Question: Siddharth wants to borrow Rs.6000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
Options:
A)Rs.21.60
B)Rs.24.00
C)Rs.25.20
D)Rs.27.80
E)None of these
Rationale: Amount of money Siddharth borrowed at S.I at 6% p.a. for two years = Rs.6,000
He lend the same amount for C.I at 6% p.a. for two years.
=> Siddharth's income = C.I - S.I
= p[1 + r/ 100]n - p - pnr/100
= p{ [1 + r/ 100]2 - 1 - nr/100
= 6,000{ [1 + 6/100]2 - 1 - 12/100}
= 6,000 {(1.06)2- 1 - 0.12} = 6,000(1.1236 - 1 - 0.12)
= 6,000 (0.0036) = 6 * 3.6 = Rs.21.60
ANSWER:A
Answer: A
Question: A box contains 10 tablets of medicine A and 14 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
Options:
A)12
B)16
C)17
D)19
E)21
Rationale: The worst case scenario will be if we remove all 14 tablets of medicine B first. The next 2 tablets we remove have to be of medicine A, so to guarantee that at least two tablets of each kind will be taken we should remove minimum of 14+2=16 tablets.
Answer: B.
Answer: B
Question: Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 8x + 4 = 0?
Options:
A)15
B)14
C)13
D)12
E)11
Rationale: a/b + b/a = (a2]/ab
a + b = + b2)/ab = (a2 + b2 + a + b)/ab
= [(a + b)2 - 2ab -8/1 = -8
ab = 4/1 = 4
Hence a/b + b/a = [(-8)2 - 2(4)]/4 = 56/4 = 14.
ANSWER:B
Answer: B
Question: The area of a square field is 7201 sq m. How long will a lady take to cross the field diagonally at the rate of 2.4 km/hr?
Options:
A)2 min
B)3 min
C)4 min
D)5 min
E)6 min
Rationale: Area of a square field = 7201 sq m
Let the side of square = a
a^2 = 7201
=> a = 84.86
Diagonal = (2)^(1/2) * a
= 1.414 * 84.86
=120
Speed of lady = 2.4 km / hour
= 2400 m / hour
= 40 m / min
Time taken by lady to cross the field diagonally = 120/40 = 3 min
Answer B
Answer: B
Question: The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
Options:
A)29
B)27
C)29
D)64
E)99
Rationale: r = 3 πr2 = 9
r = 5 πr2 = 25
25 π – 16 π
100 ---- ? => 64% Answer: D
Answer: D
Question: In a shop, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, find out approximately what percentage of the selling price is the profit?
Options:
A)20%
B)30%
C)40%
D)50%
E)70%
Rationale: Let cost price =100
Then, profit =320
selling price =100+320=420
new cost price =125
profit =420-125=295
Required percentage
=295*100/420 =70 %
Answer : E
Answer: E
Question: We made a down payment of $50 and borrowed the balance on a new oven which cost $300. The balance with interest was paid in 23 monthly payments of $11 each and a final payment of $27. The amount of interest paid was what percent of the amount borrowed?
Options:
A)10%
B)12%
C)14%
D)16%
E)18%
Rationale: We borrowed $250.
To pay back this loan, we paid 23*$11 + $27=$280.
The interest was $280-$250=$30.
The percentage was $30/$250=0.12=12%.
The answer is B.
Answer: B
Question: The jogging track in a sports complex is 726 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in?
Options:
A)450min
B)528min
C)610min
D)714min
E)359min
Rationale: Clearly, the two will meet when they are 726m apart
To be 4.5+3.75 = 8.25 km apart, they take 1 hour
To be 726 m apart, they take 100/825 * 726/1000 = 242/2750 * 60 = 528 min.
Answer is B
Answer: B
Question: A man sitting in a train which is travelling at 50 kmph observes that a goods train travelling in a opposite direction, takes 9seconds to pass him. If the goods train is 280 m long, find its speed.
Options:
A)58
B)62
C)74
D)81
E)65
Rationale: Relative speed = (280/9)m/s = (280/9)*(18/5) = 112 kmph
speed of goods train = 112-50 = 62 kmph
Answer is B
Answer: B
Question: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 44 men reap in 54 days?
Options:
A)820 acres
B)660 acres
C)620 acres
D)720 acres
E)920 acres
Rationale: 12 men 120 acres 36 days
44 men ? 54 days
120 * 44/12 * 54/36
10 * 44 * 3/2
44 * 15 = 660
ANSWER:B
Answer: B
Question: Mudit's age 18 years hence will be thrice his age four years ago. Find Mudit's present age?
Options:
A)12
B)19
C)27
D)18
E)15
Rationale: Explanation:
Let Mudit's present age be 'm' years.
m + 18 = 3(m - 4)
=> 2m = 30 => m = 15 years.
Answer:E
Answer: E
Question: A certainno. when divided by 35leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Options:
A)4
B)5
C)6
D)8
E)9
Rationale: Explanation:
35 + 25 = 60/15 = 4 (Remainder)
A
Answer: A
Question: What is the place value of 0 in the numeral 2074?
Options:
A)3
B)2
C)5
D)0
E)1
Rationale: Note : The place value of zero (0) is always 0. It may hold any place in a number,
its value is always 0.
D)
Answer: D
Question: Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
Options:
A)29.25
B)29.29
C)29.12
D)29.98
E)79.12
Rationale: Average of 9 = x
9x = 8 * 3 + x * 2 x = 3.25
Total = 9 * 3.25 = 29.25
Answer:A
Answer: A
Question: If one-third of one-fourth of a number is 15, then three-tenth of that number is :
Options:
A)35
B)36
C)45
D)54
E)30
Rationale: Let the number be x. Then, 1/3 of 1/4 of x=15
13of14ofx=15
<=> x = 15 * 12 = 180.
So, required number =
((3/10)∗180)=54.
Answer :D
Answer: D
Question: Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 48 hours. If one additional machine were used under the same operating conditions, in how manyfewerhours of simultaneous operation could the production order be fulfilled?
Options:
A)6
B)9
C)12
D)27
E)48
Rationale: If 3 Machines can do the work in 48 hr then 4 Machines can do the work in 3/4*48 = 36 Hrs. hence time saved will be 12hr
option C is the correct answer
Answer: C
Question: Two pipes A and B can fill a tank in 24 hours and 36 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Options:
A)20 hours
B)15 hours
C)14 2/5 hours
D)12 hours
E)8 hours
Rationale: Part filled by A in 1 hour = 1/24
Part filled by B in 1 hour = 1/36
Part filled by (A+B) in 1 hour = 1/24 + 1/36 = 5/72
Both the pipes together fill the tank in 72/5 = 14 2/5 hours
Answer is C
Answer: C
Question: The average waight of A,B,C is 45 Kg. The avgwgt of A & B be 40Kg & that of B,C be 43Kg. Find the wgt of B.
Options:
A)23kg
B)16kg
C)29kg
D)31kg
E)52kg
Rationale: Let A,B,c represent their individual wgts.
Then,
A+B+C=(45*3)Kg=135Kg
A+B=(40*2)Kg=80Kg & B+C=(43*2)Kg=86Kg
B=(A+B)+(B+C)-(A+B+C)
=(80+86-135)Kg
=31Kg.
Ans: D
Answer: D
Question: A can do a work in 15 days and B in 20 days. If they work on it together for 6 days, then the fraction of the work that is left is
Options:
A)8/17
B)7/15
C)3/10
D)8/15
E)1/4
Rationale: Person ( A ) ( B ) ( A+B )
Time - ( 15 ) ( 20 ) (-)
Rate - ( 20 ) ( 15 ) ( 35 )
Work -(300) (300) (300)
therefore A+B requires (300/35) days to complete entire work
For 1st 4 days they work 35 * 6 = 210
Remaining work is 300 - 210 = 90
Remaining fraction of work is = 90/300 = 3/10
Answer C
Answer: C
Question: The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
Options:
A)2:5
B)2:9
C)2:4
D)2:7
E)2:1
Rationale: The volume of the cone = (1/3)πr2h
Only radius (r) and height (h) are varying.
Hence, (1/3)π may be ignored.
V1/V2 = r12h1/r22h2 => 1/10 = (1)2h1/(2)2h2
=> h1/h2 = 2/5
i.e. h1 : h2 = 2 : 5
Answer: A
Answer: A
Question: Lottery balls numbered consecutively from one through one hundred are placed in a spinner. If one ball is drawn at random, what is the probability that it will have the number 4 on it exactly once?
Options:
A)9/100
B)1/10
C)11/100
D)18/100
E)1/5
Rationale: Probability = No of balls with exactly one 1 / total number of balls
= {4,14,24,34,40,41,42,43,45 to 49,54,64,74,84,94}/100
= 18/100
Answer is D
Answer: D
Question: Ramesh spends 40% of his monthly salary on food, 40% of the remaining on conveyance and clothes and saves 50% of the remaining amount. If his monthly salary is Rs.17,000, how much money does he save every month ?
Options:
A)Rs. 3,400
B)Rs. 3060
C)Rs. 2,540
D)Rs.1,880
E)None of these
Rationale: Explanation:
Ramesh's monthly income = Rs.17,000
He spends 40% on food.
The total money spent on food = 40/100 * 17000 = Rs. 6800
Now, his monthly remaining income = Rs.17000 – Rs.6800 = Rs. 10200
Out of Rs. 10200, he spends 40% on conveyance and clothes.
The total money spent on conveyance and clothes = 40/100 * 10200 = Rs. 4080
Now, his monthly remaining income = Rs.10200 – Rs.4080 = Rs. 6120
Out of Rs. 6120, he saves 50%.
Amount saved = 50/100 * 6120 = Rs. 3060
ANSWER B
Answer: B
Question: A and B together can complete work in 6 days. A alone starts working and leaves it after working for 4 days completing only half of the work. In how many days it can be completed if the remaining job is undertaken by B?
Options:
A)4
B)12
C)5
D)6
E)7
Rationale: Explanation:
(A+B) one day work =1/6
now A does half of the work in 4 days so A can complete the whole work in 8 days
A’s one day work =1/8
B’s one day work=1/6 - 1/8= 2/48= 1/24
B alone can complete the work in 24 days so half of the work in 12 days
Answer: Option B
Answer: B
Question: 12 men complete a work in 9 days. After they have worked for 6 days, 6 more
men joined them. How many days will they take to complete the remaining work?
Options:
A)5
B)1
C)2
D)3
E)7
Rationale: 1 man's 1 day work = 1/108
12 men's 6 days work = 6/9 = 2/3
remaining work = 1 – 2/3 = 1/3
18 men's 1 days work = 18/108 = 1/6
1/6 work is done by them in 1 day
therefore, 1/3 work is done by them in 6/3 = 2 days.
ANSWER C
Answer: C
Question: ASvennumber is defined as a five-digit number which goes according to the following rules: the leftmost digit is even, any digit to the right of an even digit must be an odd digit, and any digit to the right of an odd digit can only be one of the digits 1 or 7. How many different 3-digit numbers areSvennumbers?
Options:
A)20
B)60
C)160
D)220
E)250
Rationale: ASvennumber is defined as a five-digit number which goes according to the following rules: the leftmost digit is even, any digit to the right of an even digit must be an odd digit, and any digit to the right of an odd digit can only be one of the digits 1 or 7. How many different 5-digit numbers areSvennumbers?
4/9*5/10*2/10*2/10*2/10=160/9000
B. 60
Answer: B
Question: In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
Options:
A)2299
B)2777
C)5400
D)1277
E)231
Rationale: 100x + 400 = 12(x – 5)
x = 50
100 * 50 + 400 = 5400.Answer:C
Answer: C
Question: Find the invalid no.from the following series 15, 16, 34, 105, 424, 2124, 12756
Options:
A)1789
B)1890
C)2100
D)2300
E)2124
Rationale: 2nd term = (1st term) * 1 + 1 = 15 *1 + 1 = 16.
3rd term = (2nd term) * 2 + 2 = 16 * 2 + 2 = 34
4th term = (3th term) *3 + 3 = 34 * 3 + 3 = 105
5th term = (4th term) * 4 + 4 = 105 * 4 + 4 = 424
6th term = (5th term) * 5 + 5 = 424 * 5 + 5 = 2125
6th term should 2125 instead of 2124.
E
Answer: E
Question: Machine A and machine B process the same work at different rates. Machine C processes work as fast as Machines A and B combined. Machine D processes work three times as fast as Machine C; Machine D’s work rate is also exactly four times Machine B’s rate. Assume all four machines work at fixed unchanging rates. If Machine A works alone on a job, it takes 6 hours and 40 minutes. If all four machines work together on the same job simultaneously, how many minutes will it take all of them to complete it?
Options:
A)18
B)18
C)20
D)22
E)24
Rationale: C = A + B
D = 3C = 3(A+B) = 4B
Then B = 3A and C = 4A
The combined rate of the four machines is A + 3A + 4A + 12A = 20A
Machine A can complete the work in 400 minutes, so its rate is 1/400 of the work per minute.
The combined rate is 20/400 = 1/20 so the work will be completed in 20 minutes.
The answer is C.
Answer: C
Question: Three unbased coins are tossed. the probability of getting at most three head and three tails is ?
Options:
A)1/2
B)1/4
C)3/4
D)1/5
E)2/3
Rationale: S={TTT,TTH,THT,HTT,THH,HTH,HHT,HHH}
E be the event of getting at least two head is {TTT,HHH}
P(E)=n(E)/n(S)=2/8 = 1/4
Answer(B)
Answer: B
Question: If the average (arithmetic mean) of 5 positive temperatures is q degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be:
Options:
A)6q
B)4q
C)5q/3
D)3q/2
E)3q/5
Rationale: The sum of three greatest should be more than sum of two lowest.
The total sum is; 5q
A. 6q; 6q is more than 5q. Not possible.
B. 4q; 5q-4q=q(Possible)
C. 5q/3; 10q/3; 10q/3 > 5q/3. Not possible
D. 3q/2; 7q/2; 7q/2 > 3q/2. Not possible
E. 3q/5; 22q/5; 22q/5 > 3q/5. Not possible.
Ans:B
Answer: B
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. 77.44, the number of the member is the group is:
Options:
A)57
B)67
C)77
D)88
E)97
Rationale: Money collected = (77.44 x 100) paise = 7744 paise.
Number of members =Square root of 7744 = 88.
Answer: Option D
Answer: D
Question: Three men " Sam, Cam and Laurie " are married to Carrie, Billy and Tina, but not necessarily in the same order. Sam's wife and Billy's Husband play Carrie and Tina's husband at bridge. No wife partners her husband and Cam does not play bridge. Who is married to Cam?
Options:
A)Carrie
B)Billy
C)Tina
D)Laurie
E)none
Rationale: 1 st game:
sam's wife-Tina
VS
Billy'husband-laurie
2 nd game
carrie
VS
tina's husband-sam
Cam is married to carrie
ANSWER:A
Answer: A
Question: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Options:
A)50 sec
B)25 sec
C)40 sec
D)65 sec
E)60 sec
Rationale: Explanation:
The distance to be covered = Sum of their lengths = 200 + 300 = 500 m.
Relative speed = 72 -36 = 36 kmph = 36 * 5/18 = 10 mps.
Time required = d/s = 500/10 = 50 sec.
ANSWER IS A
Answer: A
Question: Mark and Ann together were allocated n boxes of cookies to sell for a club project. Mark sold 11 boxes less than n and Ann sold 2 boxes less than n. If Mark and Ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n?
Options:
A)10
B)11
C)12
D)13
E)14
Rationale: if n =12
mark sold 1 box
and Ann sold 10 boxes
total 11 < 12
Answer:C
Answer: C