divelab/Sys2Bench huggingface dataset:
Question: Ronika deposited Rs.7000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much ?
Options:
A)9850
B)9500
C)9620
D)9760
E)9100
Rationale: Explanation:
As the interest rate increases by 2%
=> (7000x3x2)/100 = 420
9200
--------
9620
ANSWER IS C
Answer: C
Question: A train speeds past a pole in 50 seconds and a platform 500 m long in 100 seconds. Its length is:
Options:
A)550 m.
B)300 m.
C)600 m.
D)400 m.
E)500 m.
Rationale: Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 50 => y = x/50
x + 500 / 100 = x / 50
x = 500 m.
Answer: Option E
Answer: E
Question: Raman,Lakshmi and Muthu enter into partnership. Raman invests some money at the beginning, Lakshmi invests double the amount after 6 months, and Muthu invests thrice the amount after 8 months. If the annual gain be Rs.36000. Lakshmi's share is?
Options:
A)12000
B)14000
C)8000
D)5000
E)3000
Rationale: x* 12 : 2x* 6: 3x* 4
1:1:1
1/3 * 36000 = 12000
Answer: A
Answer: A
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Options:
A)25
B)28
C)20
D)21
E)18
Rationale: M = 15
S = 5
DS = 15 + 5 = 20
Answer:C
Answer: C
Question: A man can do a piece of work in 8days, but with the help of his son, he can finish it in 3days. In what time can the son do it alone?
Options:
A)5
B)5 1/2
C)4 4/5
D)6
E)9 1/2
Rationale: Son's 1day work = 1/3 - 1/8 = 5/24
Son alone can do the work in 24/5days = 4 4/5 days
Answer is C
Answer: C
Question: If f > x > y > z on the number line, y is halfway between x and z, and x is halfway between w and z, then (y - x)/(y - f) =
Options:
A)1/4
B)1/3
C)1/2
D)3/4
E)1
Rationale: Let y-z=t ---> since y is halfway between x and z and x>y we have x-y=t. Moreover x-z=(x-y)+(y-z)=2t. Similarly since x is halfway between w and z, we have f-x=2t. So y-x=-t, y-f=-3t. ---> (y - x)/(y - f) = 1/3.
The answer is (B).
Answer: B
Question: A father is now three times as old as his son. Five years back, he was four times as old as his son. The age of the son (in years) is
Options:
A)12
B)15
C)18
D)20
E)22
Rationale: Explanation:
Let son's age be x years. Then, father's age = (3x) years.
Five years ago, father's age = (3x - 5) years and son's age = (x - 5) years.
So, 3x - 5 = 4 (x - 5) 3x - 5 = 4x - 20 x = 15.
Answer: B
Answer: B
Question: Two trains each 260 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
Options:
A)15 sec
B)19 sec
C)12.48 sec
D)10 sec
E)11 sec
Rationale: Explanation:
D = 260 m + 260 m = 520 m
RS = 80 + 70 = 150 * 5/18 = 125/3
T = 520 * 3/125 = 12.48 sec
Answer: Option C
Answer: C
Question: We have boxes colored either red or blue. In each blue box there is a fixed number of blueberries. In each red box there is a fixed number of strawberries. If we dispose of one blue box for one additional red box, the total number of berries would increase by 12, and the difference between the total number of strawberries and the total number of blueberries would increase by 76. Each blue box contains how many blueberries?
Options:
A)26
B)28
C)30
D)32
E)34
Rationale: Let x be the number of blueberries in each blue box.
Then there are x+12 strawberries in each red box.
x+(x+12)=76
x = 32
The answer is D.
Answer: D
Question: The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?
Options:
A)277
B)665
C)287
D)208
E)268
Rationale: 8 * 84 = 672 – 7
= 665
Answer:B
Answer: B
Question: What is the normal price of an article sold at $108 after two successive discounts of 10% and 20%?
Options:
A)$130
B)$140
C)$150
D)$160
E)$170
Rationale: 0.8*0.9*cost price = $108
cost price = $150
The answer is C.
Answer: C
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
Options:
A)25
B)31
C)27
D)29
E)39
Rationale: Let the average after 17 innings = x
Total runs scored in 17 innings = 17x
Average after 16 innings = (x-3)
Total runs scored in 16 innings = 16(x-3)
Total runs scored in 16 innings + 87 = Total runs scored in 17 innings
=> 16(x-3) + 87 = 17x
=> 16x - 48 + 87 = 17x
=> x = 39
Answer is E.
Answer: E
Question: How many seconds will a 450 metre long train take to cross a man running with a speed of 6 km/hr in the direction of the moving train if the speed of the train is 60 km/hr?
Options:
A)25
B)30
C)40
D)45
E)60
Rationale: Explanation :
Speed of train relatively to man = ( 60 - 6)km/hr
= 54 km /hr
= (54 x 5 / 18)m/sec
= 15 m/sec
Time taken to pass the man = (450 / 15)sec = 30 sec.
Answer : B
Answer: B
Question: A bakery orders a shipment of apples and uses them all to make 150 apple pies. On slow days it takes 6 hours to sell all 150 apple pies. On busy days they sell 200 pies in 6 hours. Calculate how many hours one shipment of apples will last on a busy day.
Options:
A)6.2
B)5
C)4.5
D)4.2
E)3.8
Rationale: First set up a ratio with all the relevant values and also the unknown variable:
150*6 = 200*x
Now solve by multiplying 150 by 6 and then dividing that product by 200:
150*6 = 900
900/200 = x
x = 4.5 hours
Answer: C
Answer: C
Question: If 13 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?
Options:
A)78 days.
B)143 days.
C)149 days.
D)148 days.
E)67 days.
Rationale: B
143 days.
From the above formula i.e (m1*t1/w1) = (m2*t2/w2)
so (13*6*88/1) = (6*8*d/1)
on solving, d = 143 days.
Answer: B
Question: A’s speed is 22/19 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Options:
A)1/22
B)1/19
C)3/19
D)2/19
E)3/22
Rationale: We have the ratio of A’s speed and B’s speed. This means, we know how much distance A covers compared with B in the same time.
This is what the beginning of the race will look like:
(Start) A_________B______________________________
If A covers 22 meters, B covers 19 meters in that time. So if the race is 22 meters long, when A reaches the finish line, B would be 3 meters behind him. If we want the race to end in a dead heat, we want B to be at the finish line too at the same time. This means B should get a head start of 3 meters so that he doesn’t need to cover that. In that case, the time required by A (to cover 22 meters) would be the same as the time required by B (to cover 19 meters) to reach the finish line.
So B should get a head start of 3/22th of the race.
Answer (E)
Answer: E
Question: On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 55 percent of the sales representatives prefer to stay at Hotel XYZ and 45 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?
Options:
A)72
B)52
C)66
D)90
E)51
Rationale: We were asked to find number of maximum possible people who were accommodated at hotels they dont prefer,
So for 18 XYZ accommodations , we can choose 18 ABC preferring people (so xyz is filled up) Here 18 were given to people who don't prefer XYZ
for 42 ABC accommodations, we can choose 33 ABC preferring people and rest to ABC. Here 33 were given to people who don't prefer ABC.
So total people who were accommodated at hotel they don't prefer = 18+33 = 51
Answer: E
Answer: E
Question: A can do a job in 16 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
Options:
A)28 4/5 days
B)25 4/5 days
C)22 4/5 days
D)20 4/5 days
E)21 4/5 days
Rationale: 1/16 + 1/30 = 46/480 =23/240
240/23=11 2/5 *2 = 22 4/5 days
ANSWER:C
Answer: C
Question: Evaluate: |4 - 8(3 - 12)| - |5 - 11| =
Options:
A)49
B)55
C)69
D)70
E)82
Rationale: According to order of operations, inner brackets first. Hence
|4 - 8(3 - 12)| - |5 - 11| = |4 - 8*(-9)| - |5 - 11|
According to order of operations, multiplication within absolute value signs (which may be considered as brackets when it comes to order of operations) next. Hence
= |4 + 72| - |5 - 11|
= |76| - |-6|
= 76 - 6 = 70
correct answer D)70
Answer: D
Question: If 18 percent of the students at a certain school went to a camping trip and took more than $100, and 75 percent of the students who went to the camping trip did not take more than $100, what percentage of the students at the school went to the camping trip?
Options:
A)95
B)90
C)85
D)78
E)72
Rationale: Let x be the number of students in the school. 0.18x students went to the trip and took more than 100$. They compose (100-75)=25% of all students who went to the trip. Therefore the toal of 0.18x/0.25=0.72x students went to the camping which is 72%.
The answer is E
Answer: E
Question: A shipment of 8 television sets contains 2 black-and-white sets and 6 color sets. If 2 television sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black-and-white set?
A.
B.
C.
D.
E. 13/28
Options:
A)1/7
B)1/4
C)5/14
D)11/28
E)13/28
Rationale: Total cases 8C2 - Selecting 2 from set of 8
Atleast one b/w means 1 b/w and 1 color or both b/w
(2C1*6C1 + 2C2)/8C2 = 13/28
the answer choices are correct E!!
Answer: E
Question: Two train each 500 m long, are running in opposite directions on parallel tracks. If their speeds are 45 km/hr and 30 km/hr respectively, the time taken by the slower train to pass the driver of the faster one is?
Options:
A)20s
B)24s
C)22s
D)23s
E)21s
Rationale: Relative speed = 45+30 = 75 km/hr = 750/36 m/s = 125/6 m/s
We are calculating the time taken by the slower train to pass the driver of the faster one
.Hence the distance = length of the smaller train = 500 m
Time = distance/speed = 500/(125/6) = 24 s
Answer is B.
Answer: B
Question: There are 4 red shoes, 3 green shoes. If one draw randomly a shoe what is the probability of getting a red shoe
Options:
A)1/9
B)2/9
C)4/7
D)4/9
E)2/3
Rationale: total 7 from take one.
7c1=7
red 4 from one
4c1=4
4/7
ANSWER:C
Answer: C
Question: A speed of 7 metres per second is the same as :
Options:
A)28.64 km/hr
B)22 km/hr
C)30 km/hr
D)25.2 km/hr
E)None
Rationale: Sol.
7 m/sec = [7 * 18/5] km/hr = 25.2 km/hr.
Answer D
Answer: D
Question: If A:B is 3:4 and B:C is 4:5 then A:C is equal to
Options:
A)1:3
B)3:5
C)3:4
D)3:7
E)1:5
Rationale: The two ratios given are having the same number 4 for B in both the ratios.
Hence- A:B = 3:4 B:C = 4:5
=> A:C = 3:5
Answer B
Answer: B
Question: A bicyclist's wheel has a circumference of 2 meters. if the bicyclist covers 20 meters in 5 hours at a constant speed, how many rotations does the wheel make per hour at that speed?
Options:
A)2
B)16
C)17
D)18
E)19
Rationale: The bicyclist covers y meters in t hrs. So he covers y/t meters in one hour.
To cover y/t meters, the bicycle's wheel went round and round that is, multiple times, the wheel completed one circumference on the road. How many times did it complete one full rotation. Since the circumference is x, the number of times it completes the circumference is y/xt.
given : x=2; y=20 and t=5
hence y/xt =20/2*5=2
Answer (A)
Answer: A
Question: A train travels from New York to Chicago, a distance of approximately 480 miles, at an average rate of 60 miles per hour and arrives in Chicago at 5:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time)
Options:
A)10:00
B)4:00
C)5:00
D)6:00
E)7:00
Rationale: 5:00 in evening in Chicago = 6:00 in evening in New York. So, the train was in Chicago 6:00 in the evening, New York time.
The trip took T=D/R=480/60=8 hours. Therefore, the train depart from New York at 6:00 - 8 hours = 10:00 in the morning, New York time.
Answer: A.
Answer: A
Question: Sohan ranks seventh from the top and twenty-sixth from the bottom in a class. How many students are there in the class ?
Options:
A)43
B)31
C)32
D)37
E)35
Rationale: C
32
Clearly, number of students in the class
= (6 + 1 + 25) = 32
Answer: C
Question: A man spends 10% of his income in house rent, 20% of the rest on his children’s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is?
Options:
A)3600
B)5280
C)3400
D)5380
E)3400
Rationale: Explanation:
X * (90/100) * (80/100) * (75/100) = 1944
X * 0.9 * 0.8 * 0.75
X = 1944/0.54
X = 3600
Answer: Option A
Answer: A
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 256 sq. feet, how many feet of fencing will be required?
Options:
A)45.6
B)40
C)68
D)88
E)92
Rationale: Given that length and area, so we can find the breadth.
Length x Breadth = Area
20 x Breadth = 256
Breadth = 12.8 feet
Area to be fenced = 2B + L = 2 (12.8) + 20 = 45.6 feet answer : A
Answer: A
Question: The length of the bridge, which a train 110 m long and traveling at 45 km/hr can cross in 30 sec is?
Options:
A)377
B)367
C)237
D)245
E)265
Rationale: Speed = 45 * 5/18 = 25/2 m/sec.
Time = 30 sec
Let the length of bridge be x meters.
Then, (110 + x)/30 = 25/2
x = 265 m.
Answer: E
Answer: E
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Options:
A)63kmph
B)63kmph
C)20kmph
D)62kmph
E)74kmph
Rationale: Explanation:
M = 15
S = 5
DS = 15 + 5 = 20
Answer: Option C
Answer: C
Question: The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 3 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
Options:
A)60
B)34
C)75
D)87
E)94
Rationale: A + B + C = 3 *84 = 252
A + B + C + D = 4 * 80 = 320 ---- (i)
So, D = 68& E = 68 + 3 = 71
B + C + D +E = 79 * 4 = 316 --- (ii)
From Eq. (i) & (ii)
A-E = 320 – 316 = 4
A = E +4 = 71 + 4 = 75
C
Answer: C
Question: From a seven-member dance group, five will be chosen at random to volunteer at a youth dance event. If Kori and Jason are two of the seven members, what is the probability that both will be chosen to volunteer?
Options:
A)a) 1/21
B)b) 1/7
C)c) 40/7
D)d) 2/7
E)e) 3/7
Rationale: Total number of ways to choose 5 out of 7 = 7C5 = 7/4.
Number of ways to choose 2 (any but Kori and Jason) out of 5 (excluding Kori and Jason) = 5C2 = 10.
P = favorable/total = 10/(7/4) = 40/7.
Answer: C.
Answer: C
Question: A 100-litre mixture of milk and water contains 30.25 litres of milk. 'x' litres of this mixture is removed and replaced with an equal quantum of water. If the process is repeated once, then the concentration of the milk stands reduced at 25%. What is the value of x?
Options:
A)9.1 litres
B)10 litres
C)8 litres
D)12 litres
E)6 litres
Rationale: Working formula ...
Initial Concentration*Initial Volume=Final Concentration*Final Volume.
Let X is the part removed from 100 lts.
30.25%(1-X/100)^2 = 25% * 100%
(1-x/100)^2=25/30.25------>(1-x/100)^2=(5/5.5)^2
100-X=500/5.5
x=9.1...
Ans A
Answer: A
Question: What least number must be added to 1100, so that the sum is completely divisible by 23 ?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: 48*23 = 1104
1104 - 1100 = 4
Answer : C
Answer: C
Question: the age difference between two brothers is 3 years. After 6 years the ratio between the age is 9:8
What are their ages?
Options:
A)21 and 18
B)21 and 19
C)21 and 17
D)20 and 18
E)22 and 18
Rationale: x-y=3
x+6/y+6=9/8
solving this we get y=18 and x=21
21 and 18
ANSWER:A
Answer: A
Question: A man whose speed is 5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Options:
A)7
B)4
C)6
D)9
E)4.55
Rationale: M = 5.0
S = 1.5
DS = 6.5
US = 3.5
AS = (2 * 6 * 3) /10 = 4.55
Answer:E
Answer: E
Question: The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Options:
A)3.4
B)3.9
C)4.1
D)4.2
E)4.6
Rationale: Sum of the remaining two numbers = (3.95 * 6) - [(3.4 * 2) + (3.85 * 2)]
= 23.70 - (6.8 + 7.7) = 23.70 - 14.5 = 9.20.
Required average = (9.2 / 2) = 4.6.
E
Answer: E
Question: A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Options:
A)7500
B)7389
C)7379
D)7453
E)7637
Rationale: A:B:C = (20000 * 24) : (15000 * 24) : (20000 * 18) = 4:3:3
B's share = 25000 * 3/10 = Rs.7500.
Answer: A
Answer: A
Question: P, Q and R have $7000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
Options:
A)2800
B)2403
C)3998
D)2539
E)1930
Rationale: A
2800
Let the amount with R be $ r
r = 2/3 (total amount with P and Q)
r = 2/3(7000 - r) => 3r = 14000 - 2r
=> 5r = 14000 => r = 2800.
Answer: A
Question: A school’s annual budget for the purchase of student computers increased by 75% this year over last year. If the price of student computers increased by 50% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?
Options:
A)15.5%
B)12%
C)14%
D)15%
E)16.67%
Rationale: Pick numbers.
Lats year: budget = $100, price = $1 --> the number of computers purchased = 100/1 = 100;
This year: budget = $175, price = $1.5 --> the number of computers purchased = 175/1.5 = ~116.67
Increase in the number of computers purchased = 16.67%
Answer: E.
Answer: E
Question: A certain debt will be paid in 52 installments from January 1 to December 31 of a certain year. Each of the first 8 payments is to be $410; each of the remaining payments is to be $65 more than each of the first 8 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year?
Options:
A)443
B)450
C)465
D)468
E)475
Rationale: Total number of installments = 52
Payment per installment for the first 8 installments = 410
Payment per installment for the remaining 32 installments = 410+65=475
Average = (8*410 + 44*475)/52 = 465
Answer C
Answer: C
Question: Working at constant rate, pump X pumped out half of the water in a flooded basement in 7 hours. The pump Y was started and the two pumps, working independently at their respective constant rates, pumped out rest of the water in 3 hours. How many hours would it have taken pump Y , operating alone at its own constant rate, to pump out all of the water that was pumped out of the basement?
Options:
A)a. 10
B)b. 12
C)c. 34
D)d. 18
E)e. 24
Rationale: rate of x=1/8
rate of x+y=1/6
rate of y=1/6-1/8=1/24
34 hours
C
Answer: C
Question: If a, b, and c are three different positive integers whose sum is prime, which of the following statements could be true?
Options:
A)Each of a, b, and c is prime.
B)Each of a + 3, b + 3, and c + 3 is prime
C)Each of a + b, a + c, and b + c is prime
D)The average (arithmetic mean) of a, b, and c is prime
E)a + b = c
Rationale: 3 different +ve integers (assume a, b, c) – sum is a prime number
All prime numbers except 2 are odd.
Consider 2 -> There is no combination of a, b & c to get a sum of 2. (a, b and c have to be different and positive integers)
Now for a, b and c to add up to a prime number (>2) the possibilities are
2 numbers are even positive integers and 1 is an odd positive integer ( E, E, O – i.e. assume a & b are even and c is odd)
OR
All 3 are odd positive integers (O, O, O – a, b & c are odd)
(A)	E, E, O (even if 1 of the even numbers is 2 there is another number which cannot be prime) combination not true
but O, O, O combination could be true.
(B)	E+3 could be prime but O+3 is an even integer >2 so cannot be prime
So E,E,O combination not true (a+3 OK, b+3 OK but c+3 – cannot be prime ) and O,O,O (a/b/c+3 cannot be prime)combination is also not true.
(C)	E+O could be prime but O+O cannot be So E,E,O (a+b cannot be prime) combination and O,O,O (a+b, b+c and c+a cannot be prime) combination not true
(D)	If the average of 3 numbers is a prime number then the sum of the 3 numbers is a multiple of 3 and the arithmetic mean. So the sum cannot be even – therefore this option is also not possible.
(E)	If a+b=c then a+b+c = 2c which is an even no and hence this option is not possible
Answer (A)
Answer: A
Question: The distance from City A to City B is 240 miles. While driving from City A to City B, Jim drives at a constant speed of 40 miles per hour. Kerri leaves City A 60 minutes after Jim. What is the minimum constant speed in miles per hour that Kerri must exceed in order to arrive in City B before Jim?
Options:
A)42
B)44
C)46
D)48
E)50
Rationale: The time it takes Jim to drive to City B is 240 / 40 = 6 hours.
Hannah needs to take less than 5 hours for the trip.
Hannah needs to exceed a constant speed of 240 / 5 = 48 miles per hour.
The answer is D.
Answer: D
Question: A cistern is normally filled in 10 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
Options:
A)33
B)88
C)60
D)99
E)11
Rationale: 1/10 - 1/x = 1/12
x = 60
Answer: C
Answer: C
Question: A person purchased a TV set for Rs. 1800 and a DVD player for Rs. 300. He sold both the items together for Rs. 3129. What percentage of profit did he make?
Options:
A)20%
B)96%
C)40%
D)49%
E)23%
Rationale: The total CP = Rs. 1800 + Rs. 300
= Rs. 2100 and SP = Rs. 3129
Profit(%)
= (3129 - 2100)/2100 * 100
= 49%
Answer: D
Answer: D
Question: A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many H cubes are painted on only 2 faces?
Options:
A)12
B)8
C)6
D)10
E)16
Rationale: 1) Draw a simple cube
2) Draw 9 squares on each face of the cube (so that it looks like a Rubik's Cube) - this is what the cube will look like when it's cut into 27 equal smaller cubes.
3) Remember that the OUTSIDE of the cube is the part that's painted....
The mini-cubes with 2 painted sides are ALL on the edge of the cube, in themiddleof the edge. There are 4 in front, 4 in back and 4 more on thestripthat runs around the left/top/right/bottom of the cube. H=4 + 4 + 4 = 12. Answer A
Answer: A
Question: there are 41 students in a class, number of girls is one more than number of guys. we need to form a team of four students. all four in the team cannot be from same gender. number of girls and guys in the team should NOT be equal. How many ways can such a team be made?
Options:
A)50540 ways
B)60540 ways
C)50840 ways
D)40540 ways
E)51540 ways
Rationale: boys=20 and girls=21 now the combinations are {girl,girl,girl,boy} or {boy,boy,boy,girl}
so 21c3*20c1+20c3*21c1=50540 ways
ANSWER:A
Answer: A
Question: How many combinations of three letters taken from letters (a, a, b, b, c, c ) are possible?
Options:
A)12
B)13
C)5
D)7
E)6
Rationale: So 3C3 for abc - 1 choice
2 more for aa(b,c )
2 more for bb(a,c )
2 more for cc(a,b )
total 7
Ans :D
Answer: D
Question: A Lady has given one-fourth part of her property to her daughter, half part to her sons and one-fifth part given as charity. How much part of hier property she has given?
Options:
A)1/20
B)19/20
C)1/10
D)9/10
E)None
Rationale: Answer
Total share given by a person
= (1/4) + (1/2) + (1/5)
= (5 + 10 + 4)/20
= 19/20
Option: B
Answer: B
Question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Options:
A)9261
B)1261
C)9621
D)9162
E)5000
Rationale: A = 8000(21/20)3 = 9261
ANSWER A
Answer: A
Question: Mark and Ann together were allocated n boxes of cookies to sell for a club project. Mark sold 9 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)9
B)10
C)11
D)12
E)13
Rationale: if n =10
mark sold 1 box
and Ann sold 8 boxes
total 9 < 10
Answer:B
Answer: B