RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A customer went to a shop and paid a total of $30, out of which $1.28 was for sales tax on taxable purchases. If the tax rate was 8%, then what was the cost of the tax free items?
A.$9.84
B.$10.68
C.$11.26
D.$12.72
Answer: D.$12.72
Explanation: The total cost was $30.
The tax was $1.28
Let the original price of the taxable items = x
Given that tax rate = 8%
0.08x = 1.28
x = $16
The cost of the tax free items was $30 - $16 - $1.28 = $12.72
The answer is D.
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
A.20%
B.70%
C.80%
D.40%
Answer: A.20%
Explanation: Explanation:
SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80
SP1 = 120
100 --- 20 => 20%
Answer: A
Question: In a college, 280 students study Hindi, 254 students study Sanskrit and 280 students study English.
97 students study Hindi as well as physics, 138 students study Sanskrit as well as English and 152 students study Hindi as well as English.
73 students study all the three languages.
How many total number of students are there in that college?
A.350
B.500
C.650
D.235
Answer: B.500
Explanation: B
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
A.100 m
B.125 m
C.130 m
D.150 m
Answer: D.150 m
Explanation: 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
Question: Find the simple interest on $1200 for 5 years at 20% per annum?
A.$1200
B.$1000
C.$500
D.$1100
Answer: A.$1200
Explanation: SI = PTR/100
= 1200*5*20/100 = $1200
Answer is A
Question: 23, 29, 31, 37, 41, 43, 47, (...)
A.53
B.47
C.48
D.59
Answer: A.53
Explanation: Explanation :
All are prime numbers in their order, starting from 23
Hence, next number is 53
Answer : A
Question: Sagar purchased 10 kg of rice at the rate of Rs. 15 per kg and 25 kg of rice at the rate Rs. 14 per kg. He mixed the two and sold the mixture. Approximately at what rate per kg should he sell the mixture to make 40 % profit in the transaction?
A.Rs. 20.00
B.Rs. 20.08
C.Rs. 20.02
D.Rs. 20.008
Answer: A.Rs. 20.00
Explanation: Explanation:
Rice variety	Quantity(Kg)	Rate(Rs/Kg)	Cost(in Rs)
First	10	15	150
Second	25	14	350
Total	500
By 40% profit on cost price,
Selling price of mixture = 140/100 * 500
= Rs. 700
Therefore, selling price per kg of mixture = 700/35 = Rs. 20'
ANSWER:A
Question: Three bells commence tolling together and toll at intervals of 3,6,9 seconds respectively. In 60 minutes, how many times do they toll together?
A.4
B.10
C.15
D.21
Answer: D.21
Explanation: L.C.M of 3,6,9 is 18. i.e after each 3 min they will toll together.So in 60 min they will toll 20 times.As they have initially tolled once,The answer will be 20+1=21.
ANSWER:D
Question: The product of two consecutive negative even integers is 24. Find the numbers.
A.-2, -4
B.-10, -12
C.-6, -8
D.-4, -6
Answer: D.-4, -6
Explanation: (n)(n + 2) = 24
n2 + 2n = 24
n2 + 2n – 24 = 0
(n + 6)(n – 4) = 0
Then the solutions are n = –6 and n = 4. Since the numbers I am looking for are negative, I can ignore the "4" and take n = –6. Then the next number is n + 2 = –4
Answer: D
Question: In how many ways can a three-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password?
A.72
B.86
C.90
D.96
Answer: D.96
Explanation: Total number of four letter passwords = 6*6*6= 216 ------(1)
Total number of passwords in which no letter repeats = 6C3*3!= 20*6=120------(2)
therefore required value = (1)-(2)= 216-120=96
D
Question: If b < 2 and 2x - 4b = 0, which of the following must be true?
A.x > -3
B.x < 4
C.x = 3
D.x < 5
Answer: B.x < 4
Explanation: 2x - 4b = 0
Therefore, 2x = 4b
As, b<2
2x < 4(2)
i.e x < 4
Answer : B
Question: find value for x from given equation? x + 1 = -3
A.1
B.-x=-4
C.-3
D.-5
Answer: B.-x=-4
Explanation: 1. Subtract 1 from both sides:
x + 1 - 1 = -3 - 1
2. Simplify both sides:
x = -4
B
Question: In how many ways can 10 people line up at a ticket window of a railway station?
A.36,28,800
B.34,82,800
C.33,44,800
D.33,28,800
Answer: A.36,28,800
Explanation: The required number of ways = number of permutations of 10 people taking all 10 at a time.
P(10, 10) = 10!
= 10 x 9 × 8 x 7 x 6 × 5 x 4 x 3 × 2 x 1
= 36,28,800
ANSWER:A
Question: The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?
A.877.49
B.877.4
C.877.45
D.877.41
Answer: B.877.4
Explanation: :
Let the costs of each kg of apples and each kg of rice be Rs.a and Rs.r respectively.
10a = 24r and 6 * 20.50 = 2r
a = 12/5 r and r = 61.5
a = 147.6
Required total cost = 4 * 147.6 + 3 * 61.5 + 5 * 20.5
= 590.4 + 184.5 + 102.5 = Rs.877.40
Answer: B
Question: The population of a town is 8000. It decreases annually at the rate of 20% p.a. What will be its population after 3 years?
A.5100
B.4096
C.5200
D.5400
Answer: B.4096
Explanation: Formula :
( After =100 denominator
Ago = 100 numerator)
8000 Ã— 80/100 Ã— 80/100 x 80/100= 4096
Answer : B
Question: In a certain country, 60 percent of the population likes basketball, and 35 percent of the population likes both basketball and golf. What percentage of the people who like basketball also like golf?
A.20%
B.33%
C.40%
D.58%
Answer: D.58%
Explanation: Correct Answer: (D).
Since this is a percent problem without concrete numbers, we can assign our own. If we assume that there are 100 people in the country, then 60 people like basketball, and 35 people like basketball and golf. We’re looking for people who like both divided by people who like basketball, so 35/60 = 58%, or choice D.
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
A.6
B.5
C.8
D.4
Answer: D.4
Explanation: 28 * 2 = 56
20 * 3 = 60
-----------
4 years.Answer: D
Question: Excepting ‘seldom’ which means – rarely, infrequently and not often, is the antonym.
A.22
B.278
C.267
D.176
Answer: D.176
Explanation: Answer:D
Question: A pharmaceutical company received $4 million in royalties on the first $50 million in sales of and then $12 million in royalties on the next $170 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $50 million in sales to the next $170 million in sales?
A.12%
B.15%
C.45%
D.52%
Answer: A.12%
Explanation: (12/170)/(4/50) = 15/17 = 88% it means that 12/170 represents only 88%. Therefore a decrease of 12%.
Answer A
Question: Which of the following must be true?
1) Every prime number greater than 5 can be written as either as 9n+1 or 9n-1
2) Every prime number greater than 5 can be written as 4n+1 or 4n-1
3) Every number greater than 5 of the form 9n+1 or 9n-1 is a prime number.
A.1,2
B.2,3
C.1,2,3
D.only 1
Answer: A.1,2
Explanation: Every prime number greater than 3 can be written in the form of 9n+1 or 9n-1 where n is an integer. So 1 can be possible.
3. This is not possible as 2 and 3 are being prime , we can't write then in the form of 9n+1 or 9n-1.
A
Question: A man saves Rs. 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years?
A.Rs.662.08
B.Rs.662.11
C.Rs.662.02
D.Rs.662.91
Answer: C.Rs.662.02
Explanation: Amount = [200(1 + 5/100)3 + 200(1 + 5/100)2 + 200(1 + 5/100)]
= [200 * 21/20(21/20 * 21/20 + 21/20 + 1)] = Rs. 662.02
Answer:C
Question: 34 : 43 :: 25 :?
A.49
B.52
C.36
D.64
Answer: B.52
Explanation: Ans 52
Reverse of 25
ANSWER:B
Question: 4/x + 5x = 5(x-8)
A.-9
B.-1/3
C.-1/9
D.-1/10
Answer: D.-1/10
Explanation: We can solve - expand the right side, multiply by x on both sides and then subtract away the 5x^2 terms:
(4/X) + 5x = 5(x-8)
(4/x) + 5x = 5x - 40
4 + 5x^2 = 5x^2 - 40x
4 = -40x
-1/10 = x
and to confirm, you can plug that answer back into the original equation to see that it makes the left and right sides equal.
D
Question: The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
A.8
B.9
C.7
D.6
Answer: B.9
Explanation: 3x + 5x + 7x = 45
x =3
3x = 9
Answer:B
Question: A number is doubled and 15 is added. If resultant is trebled, it becomes 75. What is that number
A.8
B.10
C.5
D.14
Answer: C.5
Explanation: Explanation:
=> 3(2x+15) = 75
=> 2x+15 = 25
=> x = 5
Option C
Question: Two trains of length 100 m and 160 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
A.18 sec
B.70 sec
C.13 sec
D.20 sec
Answer: C.13 sec
Explanation: Relative speed = (42 + 30) * 5/18 = 4 * 5
= 20 mps.
Distance covered in passing each other
= 100 + 160 = 260 m.
The time required = d/s
= 260/20
= 13 sec.
Answer: C
Question: In how many ways can 5 people be arranged in a circle?
A.2!
B.5!
C.4!
D.3!
Answer: C.4!
Explanation: (5−1)!=4!=24 ways
Ans - C
Question: What ratio must a shopkeeper mix Peas and Soybean of Rs.16 and Rs. 25/kg, As to obtain a mixture of Rs.21.50 ?
A.10 : 7
B.9 : 8
C.7 : 11
D.13 : 11
Answer: C.7 : 11
Explanation: Correct option: (C)
Use rule of alligation, to determine the ratio
The required ratio of Soybean and Peas = 3.50 : 5.50 = 7:11
Question: A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 204, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?
A.22
B.33
C.36
D.77
Answer: C.36
Explanation: Let f = pure fuji , g = pure gala and c - cross pollinated.
c = 10% of x where x is total trees.
c = .1x
also 3x/4 = f and c+f = 204 => .1x + 3/4x = 204 => x = 240
240 - 204 = pure gala = 36.
C
Question: two friends A,B are running up hill and then to get down! length if road is 440 yards A on his return journey met B going up at 20 yards from top, A has finished the race .5 minute earlier than B, then how much time A had taken to complete the race.
A.55 minutes
B.95 minutes
C.105 minutes
D.115 minutes
Answer: C.105 minutes
Explanation: A gains 20 yards over B in it's down the hill journey. So for entire journey A will have a lead of 40 yards over B.
now, when A is at destination B is 40 yards behind which B will cover in 5 minutes.
so, by unitary method we get..
For B, 40 yards in 5 minutes
therefore,1 yard in 5/40 minutes
therefore,880 yards in (5/40)*880=110 minutes.
Now b takes 110 minutes so A will take 105 minutes.
ANSWER:C
Question: Which of the following is not a leap year ?
A.700
B.800
C.1200
D.2000
Answer: A.700
Explanation: Solution
The century divisible by 400 is a leap year.
∴ The year 700 is not a leap year. Answer A
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
A.22
B.77
C.18
D.99
Answer: C.18
Explanation: Total CP = Rs. 42000 + Rs. 13000 = Rs. 55000 and SP = Rs. 64900
Profit(%) = (64900 - 55000)/55000 * 100 = 18%
Answer: C
Question: Ann can have her bicycle repaired for $50, or she can trade it in, as is, and receive $22 credit toward the purchase of a new bicycle that sells for $107. If Ann trades in her current bicycle, the cost to her of purchasing the new bicycle is what percent greater than the cost of having her current bicycle repaired?
A.44%
B.60%
C.70%
D.114%
Answer: C.70%
Explanation: The cost for repair is $50;
The cost of new bicycle is $107-$22=$85;
So, the cost to Ann of purchasing the new bicycle is 85−50/50∗100=70 greater than the cost of having her current bicycle repaired.
Answer: C.
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
A.6 kilometre per hour
B.8 kmph
C.9 kmph
D.10 kmph
Answer: A.6 kilometre per hour
Explanation: S = 1
M = x
DS = x + 1
US = x - 1
35/(x + 1) + 35/ (x - 1) = 12
x = 6
Answer:A
Question: In a 1000 m race, A beats B by 50 m and B beats C by 10 m. In the same race, by how many meters does A beat C?
A.A)60m
B.B)829m
C.C)822m
D.D)929m
Answer: A.A)60m
Explanation: By the time A covers 1000 m, B covers (1000 - 50) = 950 m.
By the time B covers 1000 m, C covers (1000 - 10) = 990 m.
So, the ratio of speeds of A and C =
1000/950 * 1000/990 = 1000/940 So, by the time A covers 1000 m, C covers 940 m.
So in 1000 m race A beats C by 1000 - 940 = 60 m.
Answer:A
Question: A man goes from A to B at a speed of 21 kmph and comes back to A at a speed of 21 kmph. Find his average speed for the entire journey?
A.23.3 kmph
B.25.3 kmph
C.22.5 kmph
D.22.3 kmph
Answer: D.22.3 kmph
Explanation: Distance from A and B be 'd'
Average Speed = total distance/total time
Average Speed = (2d)/[(d/21) + (d/24]
= (2d)/[15d/168) => 22.3 kmph.
Answer:D
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
A.18:11
B.18:18
C.18:22
D.18:39
Answer: A.18:11
Explanation: Explanation:
A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.
A : B
8000*18 : (8000*4) + (4000*14)
14400 : 88000
A:B = 18:11
Answer:A
Question: For four days of work, a clerk had daily earnings of $140, $130, $140, and $140 respectively. In which of the following intervals does the standard deviation of the daily earnings lie?
A.Between $10 and $100
B.Between $10 and $50
C.Between $0 and $10
D.Between $10 and $70
Answer: C.Between $0 and $10
Explanation: The standard deviation is between 0 and 10.
The reason is that none of the numbers in the set is further away from the mean than 10(or rather Abs(130-(140*3+130)/4)). I am not fully sure how to calculate the standard deviation(I simply remember that there were some formula for calculating the average of the squared distances from the mean for all items in the set from statistics classes - variation), but I believe this will suffice for any GMAT question related to standard deviation.
Answer : C
Question: If a large pizza has a radius that is 20% larger that that of a medium pizza, what is the percent increase in area between a medium and a large pizza?
A.20%
B.36%
C.44%
D.50%
Answer: C.44%
Explanation: Let the radius of medium pizza be r. Then the radius of large pizza is 1.2r.
The area of the medium pizza is pi*r^2
The area of the large pizza is pi*(1.2*r)^2 = 1.44*pi*r^2, an increase of 44%.
The answer is C.
Question: The ratio of the radius of two circles is 3: 4, and then the ratio of their areas is?
A.1:7
B.9:16
C.1:9
D.3:7
Answer: B.9:16
Explanation: r1: r2 = 3:4
Î r1^2: Î r2^2
r1^2: r2^2 = 9:16
Answer: B
Question: A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
A.33
B.20
C.99
D.78
Answer: B.20
Explanation: Let the distance between A and B be x km.
Total time = x/(9 + 1) + x/(9 - 1) = 4.5
=> x/10 + x/8 = 9/2 => (4x + 5x)/40 = 9/2 => x = 20 km.
Answer:B
Question: The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
A.4 years
B.5 years
C.6 years
D.7 years
Answer: A.4 years
Explanation: 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) = 50
5x = 20
x = 4.
Age of the youngest child = x = 4 years
A)
Question: In a year N, the 259th day of the year is a Saturday. In the year N+l, the 222th day of the year is also a Saturday. What is the 119th day of the year N-l?
A.Thursday
B.Saturday
C.Friday
D.Tuesday
Answer: C.Friday
Explanation: as 259th day of year N and 222th day of year N+1 is same i.e saturday, so number of day between above 2 day is must be divided by 7..
no. of days btwn dis 2 day may b (366-259)+222=329----(1) or (365-259)+222=328------(2)
as 329 is divided by 7 so year N is leap year son Year N-1 is not a leap year....
now number of day btwn 119th of N-1 and 259th of N is (365-119)+259 =505
now 505/7 gives remainder 1 , so 504 is divided by 7, so 120th day of N-1 is saturday...so 119th day of N-1 is Friday
ANSWER:C
Question: A train which has 410 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
A.56 sec
B.41 sec
C.36 sec
D.29 sec.
Answer: B.41 sec
Explanation: Time taken to cross a moving person = length of train/ relative speed
Time taken = 410/((45-9) (5/18)
= 410/ 36*(5/18)
= 410/10
= 41 sec
ANSWER:B
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 23 seconds, what is the ratio of their speeds?
A.Insufficient data
B.3 : 2
C.3 : 1
D.1 : 3
Answer: B.3 : 2
Explanation: Explanation:
Let the speed of the trains be x and y respectively
length of train1 = 27x
length of train2 = 17y
Relative speed= x+ y
Time taken to cross each other = 23 s
=> (27x + 17 y)/(x+y) = 23
=> (27x + 17 y)/ = 23(x+y)
=> 4x = 6y
=> x/y = 6/4 = 3/2
Answer: Option B
Question: For a certain exam,a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean.What was the mean score Q for the exam?
A.74
B.76
C.78
D.80
Answer: A.74
Explanation: A score of 58 was 2 standard deviations below the mean --> 58 = Mean - 2d
A score of 98 was 3 standard deviations above the mean --> 98 = Mean + 3d
Solving above for Mean Q= 74.
Answer: A.
Question: Excluding stoppages, the speed of a bus is 75 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
A.15
B.24
C.17
D.19
Answer: B.24
Explanation: Due to stoppages, it covers 30 km less.
Time taken to cover 30 km = ((30/75)Ã—60) = 24 min.
Option(B) is correct
Question: 38, 56, 22,64, 31,47, 13, 82
Which of the following numbers is greater than three-fourth of the numbers but less than one-fourth of the numbers in the list above?
A.a- 60
B.b- 68
C.c- 69
D.d- 71
Answer: A.a- 60
Explanation: Important:- Arrange the numbers in ascending order first.
13, 22, 31, 38, 47, 56, 64, 82
3/4th of the number list represents- 56 (6th number)
remaining 1/4th list represents 64 (7 th number)
60 fits in between above 2
Answer:- A
Question: Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 40% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets?
A.66%
B.75%
C.82%
D.116%
Answer: C.82%
Explanation: Let the price of Company A's assets be 100
Price of assets of KW is 40% more than company A's assets which is 140
Price of assets of KW is 100% more than company B's assets which means price of Company B's assets is half the price of KW = 70
A+B = 170
KW = 140
KW/(A+B)*100 = 140/170*100 = 82.35% or 82%
C
Question: What is the next number in the given series
4,18,100,294,....?
A.1210
B.1220
C.1230
D.1240
Answer: A.1210
Explanation: The given series is difference of cubes and squares of consecutive prime numbers.
2*2*2-2*2=4,
3*3*3-3*3=18,
5*5*5-5*5=100,
7*7*7-7*7=294,
11*11*11-11*11=1210
ANSWER:A
Question: The average of 7 consecutive numbers is 20. The largest of these numbers is :
A.21
B.25
C.31
D.23
Answer: D.23
Explanation: Let the numbers be x, x + 1, x + 2, x + 3, x + 4, x + 5 and x + 6,Then (x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6)) / 7 = 20.or 7x + 21 = 140 or 7x = 119 or x =17.Latest number = x + 6 = 23. Answer : D
Question: The smallest number when increased by " 1 " is exactly divisible by 12, 18, 24, 32 and 40 is:
A.1439
B.1440
C.1459
D.1449
Answer: A.1439
Explanation: LCM = 1440
1440 - 1 = 1439
ANSWER:A
Question: What is the next number of the following sequence
2,5,10,50,500,?
A.24000
B.20000
C.30000
D.25000
Answer: D.25000
Explanation: 2*5=10
5*10=50
10*50=500
50*500=25000
therefore next no. is 25000
ANSWER:D
Question: Let p be a prime number greater than 2 and let N = 14p. How many even numbers divide N?
A.1
B.2
C.3
D.4
Answer: A.1
Explanation: Answer: A. There is exactly one. The prime factorization of 14 is 14 = 2*7, so N = 2*7*p = 7*2*p = 7*2p, so 2p is the only even number that divides N.
Question: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
A.287
B.288
C.350
D.278
Answer: C.350
Explanation: D = 72 * 5/18 = 25 = 500 – 150
= 350
Answer: C
Question: What is the value of X, if
1/(log442/441 X) + 1/(log443/442 X) + 1/(log444/443 X) +…+ 1/(log899/898 X) +1/(log900/899 X) = 2?
A.2/21
B.1
C.7/100
D.10/7
Answer: D.10/7
Explanation: The given equation
= 1/(log442/441 X) = (log442/441)/logX = logX 442/441.
= logX 442/441 + logX 443/442 + logX 444/443 +......+ logX 899/898 + logX 900/899 = 2.
= logX 900/441 = 2
=>X2 = 900/441
=>X = 30/21 = 10/7.
ANSWER:D
Question: A person is traveling at 75 km/hr and reached his destiny in 4hr then find the distance?
A.300 km
B.200 km
C.250 km
D.400 km
Answer: A.300 km
Explanation: T = 4 hrs
D= T*S = 75*4 = 300KM
Answer is A
Question: Two children want to walk together to visit their aunt, who lives exactly 7 blocks north and 5 blocks east of their current location. If they travel only along streets and do not travel diagonally, the shortest possible route connecting the two points is exactly 12 blocks. How many different 12-block routes may they take to travel the shortest possible distance to their aunt’s house?
A.12!/(7*5)
B.19!/(12!)
C.12!/(7!5!)
D.12!*7!*5!
Answer: C.12!/(7!5!)
Explanation: If they need to walk 7 blocks north and 5 blocks east, we can express this route as NNNNNNNEEEEE. The question thus asks us how many ways we can arrange those letters.
The number of arrangements of 12 things is 12!
We then divide by the repetitions of N's and E's, which are 7! and 5! respectively.
The number of walking routes is 12!/(7!5!).
The answer is C.
Question: There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs. 2288, then what was the price of the article initially?
A.2009
B.6000
C.2000
D.7000
Answer: C.2000
Explanation: Let the price of the article, four years age be Rs. 100 in the 1st year, price of the article
= 100 + 30 = Rs. 130. In the 2nd year, price = 130 - 20% of 130
= 130 - 26 = Rs. 104.
In the 3rd year, price = 104 + 10% of 104
= 104 + 10.4 = Rs. 114.40.
But present price of the article is Rs. 2288
for 114.4 ---> 100 ; 2288 ---> ?
Required price = (2288 * 100)/114.4 = 20 * 100 = Rs.2000.
Answer:C
Question: The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. Find the length of the rectangle?
A.10 cm
B.20 cm
C.30 cm
D.40 cm
Answer: B.20 cm
Explanation: Solution
Let the breadth = x	Then length =2x
= [(2x-5)(x+5)-2x ] x [x=75]
x =20.
Length of the rectangle=20cm.
Answer B
Question: A babysitter is paid a regular rate of $16 per hour for any number of hours that does not exceed 30 hours per week. For any overtime hours worked in excess of 30 hours per week, the babysitter is paid a rate that is 75% higher than his regular rate. If last week the babysitter earned $760, how many total hours did she work that week?
A.40
B.30
C.35
D.25
Answer: A.40
Explanation: For 30 hrs = 30*16=480
Excess = 760-480=280
For extra hours =.75(16)=12 in addition to $16. Thus, 12+16=28
Number of extra hrs =280/28=10
Total hrs =30+10=40
Answer A 40
Question: In a race of 4Kms A beats B by 100m or 25 seconds, then time taken by A is
A.8 min 15 sec
B.10 min 17 sec
C.15 min 8 sec
D.16 min 15 sec
Answer: D.16 min 15 sec
Explanation: B covers 100m in 25 seconds
B take time =(4000*25)/100=1000 sec=16 min 40 sec.
A takes time =1000 sec-25sec=975 sec= 16 min 25 sec.
ANSWER:D