RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A person sold two cows each for Rs.9900. If he gained 10% on one and lost 20% on the other, then which of the following is true?
A.He Gained Rs. 200
B.He lost Rs. 200
C.He neither gained nor lost
D.None of the above
Answer: D.None of the above
Explanation: Explanation:
The CP of profitable cow = 9900/1.1=9000
and profit = Rs. 900
The CP of loss yielding cow = 9900/0.8=12375
and loss = Rs. 2475
so, the net loss = 2475 - 900 = 1575. 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.18:15
C.18:10
D.18:12
Answer: A.18:11
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: A train travels at an average of 50 miles per hour for 2 1/2 hours and then travels at a speed of 70miles per hour for 1 1/2 hours. How far did the train travel in the entire 4 hours?
A.200miles
B.230miles
C.250miles
D.150miles
Answer: B.230miles
Explanation: Total distance traveled = (50*2 1/2)+(70*1 1/2) = 125+105 = 230 miles
Answer is B
Question: In an examination, 35% candidates failed in one subject and 42% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared at the end of the examination how many passed in either subject but not in both?
A.975
B.1020
C.1175
D.1243
Answer: C.1175
Explanation: Failed in 1st subject = 35*2500/100 = 875
Failed in 2nd subject = 42*2500/100 = 1050
Failed in both = 15*2500/100 = 375
Failed in 1st subject only = 875-375 = 500
Failed in 2nd subject only = 1050-375 = 675
Passed in either subject but not in both = 675+500 = 1175
Answer is C
Question: 12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 10 days, working 12 hours a day, the number of men required?
A.10 days
B.9 days
C.6 days
D.8 days
Answer: D.8 days
Explanation: That is, 1 work done = 12 × 8 × 10
Then, 12 8 × 10 = ? × 12 × 10
? (i.e. No. of men required) = 12 × 8 × 10/12× 10 = 8 days
D)
Question: If A's height is 30% less than that of B, how much percent B's height is more than that of A?
A.42.85%
B.66.68%
C.66.766%
D.86.66%
Answer: A.42.85%
Explanation: Excess of B's height over A's = [(30/(100 - 30)] x 100%
= 42.85%
Answer: A)
Question: There are 8 magazines lying on a table; 4 are movie magazines and the other 4 are education magzines. If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the movie magazine will be selected?
A.9/14
B.11/14
C.13/14
D.1/14
Answer: C.13/14
Explanation: 1- (4c3/8c3) = 13/14
Answer : C
Question: A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
A.87 days
B.77 days
C.8 days
D.5 days
Answer: D.5 days
Explanation: WC = 3:1
WT = 1:3
x 3x
1/x – 1/3x = 1/10
x = 20/3
3/20 + 1/20 = 1/5 => 5 days
Answer: D
Question: 5n + 2 > 12 and 7n - 12 < 44; n must be between which numbers?
A.2 and 8
B.2 and 6
C.0 and 9
D.2 and 7
Answer: A.2 and 8
Explanation: 5n+2 > 12
5n > 10
n > 2
7n-12 < 44
7n < 56
n < 8
So n must be between 2 and 8
2 < n < 8
correct answer A
Question: A cistern is filled by pipe A in 8 hours and the full cistern can be leaked out by an exhaust pipe B in 12 hours. If both the pipes are opened, in what time the cistern is full?
A.24hrs
B.60hrs
C.70hrs
D.80hrs
Answer: A.24hrs
Explanation: time taken to full the cistern=(1/8-1/12)hrs
=1/24
=24hrs
ANSWER:A
Question: When sold at a 60% discount, a sweater nets the merchant a 20% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price?
A.20%
B.40%
C.66.67%
D.80%
Answer: C.66.67%
Explanation: we should be careful about what are we measuring % on/what is the base..
let the Marked up price =100..
Selling price= 100-60%of 100=40..
profit= 20%..
therefore the wholesale purchase cost= x.... 1.2x=40
or x=33.33...
marked price was 100 so ...
so answer is 66.67%..
C
Question: A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
A.10/21
B.10/29
C.10/20
D.10/22
Answer: A.10/21
Explanation: Explanation:
Total number of balls = (2 + 3 + 2) = 7.
Let S be the sample space.
Then, n(S) = Number of ways of drawing 2 balls out of 7 = = 21
Let E = Event of drawing 2 balls, none of which is blue.
n(E) = Number of ways of drawing 2 balls out of (2 + 3) balls = = 10
Therefore, P(E) = n(E)/n(S) = 10/ 21.
Answer: A) 10/21
Question: Exactly 36% of the numbers in set Q are even multiples of 3. If 40% of the even integers in set Q are not multiples of 3, what percent of the numbers in set Q are not even integers?
A. 76%
B. 60%
C. 50%
D. 40%
Answer: D. 40%
Explanation: Everything is correct except the red part with a typo: it should be N=0.6Q --> even numbers are 60% of Q --> 40% of Q are not even integers.
Answer: D.
Question: If |x - 16| = 2x, then x=?
A.10
B.15
C.-16
D.16
Answer: C.-16
Explanation: |x - 16| = 2x ...(given)
x^2 - 32x + 256 = 4x^2
3*x^2 + 32*x -256 = 0 ....(by solving above eq. we get) , x = -16 or 5.33 ===> Ans - C
Question: The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 17,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?
A.8,500,148 kilometers squared
B.9,500,148 kilometers squared
C.7,500,148 kilometers squared
D.4,500,148 kilometers squared
Answer: C.7,500,148 kilometers squared
Explanation: the difference between the areas of Russia and China is given by
17,098,242 - 9,598,094 = 7,500,148 kilometers squared
correct answer C
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
A.3630
B.8289
C.356E3
D.3778
Answer: A.3630
Explanation: 6300:4200:10500
3:2:5
3/10 * 12100
= 3630
AnswerA
Question: 54671 - 14456 - 31466 = ?
A.2449
B.5449
C.8749
D.8449
Answer: C.8749
Explanation: C
If we calculate we will get 8749
Question: Insert the missing number
121, 112, ..., 97, 91, 86
A.102
B.108
C.99
D.104
Answer: D.104
Explanation: first and second number difference is starting from 9, and further decresed by 1 by each iteration.
121, 112, ..., 97, 91, 86....
Dfference between two numbers Will be as 9, 8, 7, 6, 5,...
ANSWER:D
Question: The distance between two stars is 2.5 × 10^5 light years. What is the distance between the two stars in parsecs? (1 parsec = 3.26 light years)
A.5.5 × 10^3
B.3.3 × 10^4
C.7.7 × 10^4
D.9.9 × 10^5
Answer: C.7.7 × 10^4
Explanation: 2.5 × 10^5 ly / (3.26 ly/parsec) = (2.5/3.26) x 10^5 = 0.77 x 10^5 = 7.7 x 10^4 parsec
The answer is C.
Question: A can complete a work in 12days and B can do the same work in 6days. If A after doing 3days, leaves the work, find in how many days B will do the remaining work?
A.2 1/2days
B.4 1/2days
C.6 1/2days
D.7 1/2days
Answer: B.4 1/2days
Explanation: The required answer = (12-3)*6 / 12 = 54/12 = 4 1/2days
Answer is B
Question: Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
A.76%
B.86%
C.96%
D.56%
Answer: C.96%
Explanation: I II III
120 125 100
125----------120
100-----------? => 96%
Answer:C
Question: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
A.1288
B.1238
C.1200
D.1233
Answer: C.1200
Explanation: CP* (76/100) = 912
CP= 12 * 100 => CP
= 1200
Answer:C
Question: Paul earns $12000 an year from his job. His income increased and now makes $13500 an year. What is the percent increase?
A.25%
B.20%
C.15.5%
D.12.5%
Answer: D.12.5%
Explanation: Increase = (1500/12000)*100 = (1/8)*100 = 12.5%.
D
Question: A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
A.56 hours
B.28 hours
C.55 hours
D.66 hours
Answer: B.28 hours
Explanation: 1/A + 1/B + 1/C = 1/8 (Given)
Also given that A = 2B and B = 2C
=> 1/2B + 1/B + 2/B = 1/8
=> (1 + 2 + 4)/2B = 1/8
=> 2B/7 = 8
=> B = 28 hours.
Answer: B
Question: (9568422 x 558) = ?
A.5846381256
B.5339179476
C.5346381356
D.5846381406
Answer: B.5339179476
Explanation: 9568422 x 558=5339179476Ans B
Question: A number is missing from the number series below.
Can you find it ?
84, ?, 258, 399 , 584, 819.
A.155
B.350
C.399
D.421
Answer: A.155
Explanation: A
The missing number is 155.
84 = 4^3 + 3^2 + 4
258 = 6^3 + 6^2 + 6
399 = 7^3 + 7^2 + 7
584 = 8^3 + 8^2 + 8
819 = 9^3 + 9^2 + 9
Thus,
155 = 5^3 + 5^2 + 5
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.75 only. Menâ€™s wages are?
A.6Rs
B.7Rs
C.8Rs
D.5Rs
Answer: D.5Rs
Explanation: 5M = xW = 8B
5M + xW + 8B ----- 75 Rs.
5M + 5M + 5M ----- 75 Rs.
15M ------ 75 Rs. => 1M = 5Rs.
Answer:D
Question: If in a certain sequence of consecutive multiples of 100, the median is 750, and the greatest term is 1200, how many terms that are smaller than 650 are there in the sequence?
A.6
B.7
C.8
D.12
Answer: C.8
Explanation: Since the median is 750 we know there must be a even number of integers
So the list around 750 must go. 700 (750) 800 900 1000 1100 ,1200
Since we know there are 5 numbers greater than 750 then there must be 5 numbers less then 750
C
Question: Pipe A fills a tank in 56 minutes. Pipe B can fill the same tank 7 times as fast as pipe A. If both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank?
A.4
B.5
C.6
D.7
Answer: D.7
Explanation: A's rate is 1/56 and B's rate is 1/8.
The combined rate is 1/56 + 1/8 = 1/7
The pipes will fill the tank in 7 minutes.
The answer is D.
Question: If x and y are distinct prime numbers less than ten, what must be true about the product of x and y?
A.xy is even
B.xy is odd
C.xy < 0
D.xy < 36
Answer: D.xy < 36
Explanation: Prime numbers less than 10 = 2, 3, 5, 7. x and y can take any oth the values
On checking the options
A. xy is even
xy can be even or odd both
B. xy is odd
xy can be even or odd both
C. xy < 0
Product of two prime numbers can never be < 0
Prime numbers are always positive
D. xy < 36
The maximum value of multiplication can be 5*7 = 35.
Hence this is true always
E. xy > 6
x = 2, y = 3
In this case, xy = 6. FALSE
Correct Option: D
Question: The angles of a triangle are in the ratio 1:3:8. Find the measurement of the three angles of triangle.
A.90°
B.100°
C.120°
D.140°
Answer: C.120°
Explanation: If the ratio of the three angles is 1:3:8, then the measures of these angles can be written as x, 3x and 8x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence
x + 3x + 8x = 180
Solve for x
12x = 180
x = 15
The measures of the three angles are
x = 15°
3x = 3 × 15 = 45°
8x = 8 × 15 = 120°
C
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount?
A.228
B.105
C.288
D.267
Answer: B.105
Explanation: x:y:z = 100:45:30
20:9:6
9 --- 27
35 --- ? => 105
Answer:B
Question: Cost of 16 mirror and 8 comb is Rs.360 and the cost of 4 mirror and 4 comb is Rs.96. Find the cost of each mirror?
A.10
B.12
C.20
D.21
Answer: D.21
Explanation: Let the cost of each pen and pencil be 'p' and 'q' respectively.
16m + 8c = 360 --- (1)
4m + 4c = 96
8m + 8c = 192 --- (2)
(1) - (2) => 8p = 168
=> m = 21
D
Question: In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 6 eggs. If the cost of each pound of rice is $0.24, then how many cents does a liter of kerosene cost? [One dollar has 100 cents.]
A. 0.20
B. 0.24
C. 20
D. 24
Answer: D. 24
Explanation: A dozen eggs cost as much as a pound of rice --> 12 eggs = 1 pound of rice = 24 cents;
A half-liter of kerosene costs as much as 6 eggs --> 6 eggs = 1/2 liters of kerosene.
How many cents does a liter of kerosene cost --> 1 liter of kerosene = 12 eggs = 12/12*24 = 24 cents.
Answer: D.
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
A.22
B.88
C.36
D.88
Answer: C.36
Explanation: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 120 = 360 m.
Time taken = 360/10 = 36 sec.
Answer: C
Question: How many months are in 3 years?
A.48
B.12
C.30
D.36
Answer: D.36
Explanation: D. 36 months
Question: What will be the fraction of 10%
A.1/4
B.1/5
C.1/10
D.1/11
Answer: C.1/10
Explanation: Explanation:
It will 10*1/100 = 1/10
Option C
Question: The number of arrangements that can be made with the letters of the word COPY so that the vowels occupy the even places?
A.6
B.144
C.777
D.992
Answer: A.6
Explanation: The word MEADOWS has 7 letters of which 3 are vowels.
-V-V-V-
As the vowels have to occupy even places, they can be arranged in the 1 even places in 1! i.e., 1 ways. While the consonants can be arranged among themselves in the remaining 3 places in 3! i.e., 6 ways.
Hence the total ways are 1 * 6 = 6.
Answer:A
Question: A bowl has only 6 apples and 6 bananas. If one piece of fruit is selected from the bowl at random, and a second piece is selected from the bowl without replacing the first, what is the probability that both pieces of fruit chosen are apples?
A.1/10
B.1/5
C.2/9
D.30/131
Answer: D.30/131
Explanation: 6/12 * 5/11
=30/131
D. 30/131
Question: If n ≠ 0, which of the following must be greater than n?
I. 4n
II. n^2
III. 2 - n
A.II only
B.I only
C.I and II only
D.II and III only
Answer: A.II only
Explanation: n ≠ 0 => n = negative or n = positive
if n = negative:
2n < n (n = -1 then 2n = -2 => -2 < -1)
n^2 > n (n =-1 then n^2 = 1 => n^2 > n)
2 - n > n (n = -1 then 2--1 = 2+1=3 => 2-n > n)
but if n = positive:
n^2 > n (n = 2 then n^2 = 4 => n^2 > n) => II
2 - n < n(n =2 then 2-2 = 0)
=> only II
=>answer is A
Question: A train 250 m long running at 72 kmph crosses a platform in 30 sec. What is the length of the platform?
A.350m
B.200m
C.250m
D.270m
Answer: A.350m
Explanation: D = 72 * 5/18 = 30 = 600 â€“ 250 = 350m
ANSWER:A
Question: A train 300 m long passed a pole in 22 sec. How long will it take to pass a platform 725 m long?
A.12 sec
B.59 sec
C.73 sec
D.67 sec
Answer: C.73 sec
Explanation: Speed = 300/22
= 14 m/sec.
Required time = (300 + 725)/14
= 73 sec.
Answer: C
Question: From 5 positive numbers and 6 negative numbers, how many groups of 4 numbers, yielding a positive product, can be formed?
A.170
B.625
C.30
D.960
Answer: A.170
Explanation: The number of ways to choose 4 positive numbers is 5C4 = 5.
The number of ways to choose 4 negative numbers is 6C4 = 15.
The number of ways to choose 2 positive and 2 negative numbers is 5C2*6C2 = 10*15 = 150.
The total number of groups is 5+15+150 = 170.
The answer is A.
Question: A man can row a boat at 14 kmph in still water. If the speed of the stream is 5 kmph, what is the time taken to row a distance of 80 km downstream?
A.85/19
B.90/18
C.80/19
D.70/19
Answer: C.80/19
Explanation: Speed downstream = 14 + 5 =19 kmph.
Time required to cover 80 km downstream = d/s = 80/19
= 80/19 hours.
Answer: C
Question: The ratio of the incomes of A and B is 5:4 and the ratio of their expenditure is 3:2. If at the end of the year, each saves $1600 then the income of A is?
A.$1500
B.$4000
C.$2000
D.$2500
Answer: B.$4000
Explanation: Let the income of A and B be $5x and $4x
Let their expenditures be $3y and $2y
5x-3y = 1600-------1)
4x-2y = 1600-------2)
From 1) and 2)
x = 800
A's income = 5x = 5*800 = $4000
Answer is B
Question: A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
A.18997
B.12000
C.28992
D.13009
Answer: B.12000
Explanation: [1000 + (X-4000) * (2.5/100)] - X * (5/100)
= 600
X = 12000
Answer: B
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
A.18
B.27
C.20
D.80
Answer: D.80
Explanation: 1/2 * d (10 + 6) = 640
d = 80
Answer: D
Question: Mr Shivkumar started a business, investing 25000 in 1996. In 1997 he invested an additional amount of 10000 and Mr Rakesh joined him with an amount of 35000. In 1998, Mr Shivkumar invested another additional amount of 10000 and Mr Suresh joined them with an amount of 35000. What will be Rakesh’s share in the profit of 150000 earned at the end of three years from the start of the business in 1996?
A.70000
B.50000
C.45000
D.75000
Answer: B.50000
Explanation: Ratio of their investments = 25,000 × 1 + 35000 × 1 + 45000 × 1 : 35000 × 2 : 35000 × 1 = 3 : 2 : 1.
∴ Rakesh’s share = 2⁄6 × 150000 = 50000
Answer B
Question: There are 250 scraps. For each 11 cutting one extra can be obtained. How much maximum is possible, if one cut by one unit?
A.271
B.272
C.273
D.274
Answer: B.272
Explanation: 242 is divisible by 11.s0,22 extra will come.and another 8 remained.so,242+8+22=272
ANSWER:B
Question: a man have 800kg mango.he found 8% of its mango are rotten.then how much mango is rotten?
A.64
B.72
C.68
D.65
Answer: A.64
Explanation: 8% of 800kg =(800*8)/100.
=64 mangoes
answer A
Question: In a graduating class, 40 percent of the students are male. In this class, 50 percent of the male students and 40 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
A.0.44
B.0.5
C.0.56
D.0.62
Answer: C.0.56
Explanation: Let x be the total number of students.
The number students who are younger than 25 is 0.5*0.4x+0.6*0.6x = 0.56x
The answer is C.
Question: If 2x=y=6z, what is x-z, in terms of y?
A.y
B.2y
C.y/2
D.y/3
Answer: D.y/3
Explanation: 2x=y=6z
x = y/2
and z = y/6
x-z = y/2 - y/6 = y/3
Answer is D
Question: Ajay pays Rs 8.0 per litre of spirit. He adds water and sells the mixture at Rs 9 per litre, thereby making 40 % profit. The proportion of water to spirit received by the customers is
A.45:11
B.11:45
C.2:45
D.45:2
Answer: B.11:45
Explanation: Suppose the quantity of spirit purchased = X lites
Suppose quantity of water mixed = Y litres
Required ratio of the water and the spirit in the mixture = Y:X
C.P. of x litres of spirit = Rs 8.0X
S.P of x litres of spirit = 9(X + Y)
Thus,C.P = S.P x 100/(100 + gain% )
=> 64 = (9X+9Y) x 100/100 + 40
=> 1120X =900X +900Y
=> 220X= 900Y
=> Y/X = 220/900 = 11/45
ANSWER:B
Question: Cole drove from home to work at an average speed of 80 kmh. He then returned home at an average speed of 120 kmh. If the round trip took a total of 2 hours, how many minutes did it take Cole to drive to work?
A.66
B.70
C.72
D.75
Answer: C.72
Explanation: First round distance travelled (say) = d
Speed = 80 k/h
Time taken, T2 = d/80 hr
Second round distance traveled = d (same distance)
Speed = 120 k/h
Time taken, T2 = d/120 hr
Total time taken = 2 hrs
Therefore , 2 = d/80 + d/120
LCM of 80 and 120 = 240
2= d/80 + d/120
=> 2 = 3d/240 + 2d/240
=> d = 240 * 2/ 5 Km
Therefore, T1= d/80
=> T1 = (240 *2) / (5 x 80)
=> T1 = (6 x 60) / 5 -- in minutes
=> T1 = 72 minutes.
C
Question: Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 5% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
A.2:5
B.3:5
C.4:7
D.2:6
Answer: B.3:5
Explanation: 2% is 3%-points below 5% and 10% is 5%-points above 5%.
The ratio of A:B should be 3:5.
The answer is B.
Question: 2 dice are tossed. What is the probability that the total score is a prime no. is?
A.3/13
B.5/12
C.6/13
D.7/15
Answer: B.5/12
Explanation: 5/12
B
Question: A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
A.Rs.18000
B.Rs.15000
C.s.17000
D.Rs.14000
Answer: D.Rs.14000
Explanation: Explanation:
25*12: 30*12: 35*8
15:18:14
14/47 * 47000 = 14000
Answer: Option D
Question: 9 men are equal to as many women as are equal to 7 boys. All of them earn Rs.216 only. Men’s wages are?
A.6
B.5
C.2
D.8
Answer: D.8
Explanation: 9M = xW = 7B
9M + xW + 7B ----- 216 Rs.
9M + 9M + 9M ----- 216 Rs.
27M ------ 216 Rs. => 1M = 8Rs. Answer: D
Question: The average age of 3 girls is 24 years and their ages are in the proportion 1:2:3. The age of the youngest girl is?
A.10 years
B.11 years
C.12 years
D.13 years
Answer: C.12 years
Explanation: Total age of 3 boys = 24*3 =72
ratio of their ages = 1:2:3
Age of the youngest = 72*1/6 = 12 years
Answer is C
Question: In flip of coin seven times in a row, what is the probability that the result will not be tails at any ?
A.1/128
B.29/128
C.35/128
D.1/16
Answer: A.1/128
Explanation: In a flip of a coin seven times in a row, tails at no time means heads all the time
Heads = at least 7 heads
Atleast 7 heads in 7 flip.
The total outcome of flip is = 2^7 = 128
For any Coins problem write the ask in the shown format.
HHHHHHH
Once you have written in the above mentioned format the answer is pretty straight.
HHHHHHH = [7!]/[7!] = 1
Sum = 1 =
Answer = 1/128
Answer - A
Question: 12 buckets of water fill a tank when the capacity of each bucket is 49 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 7 litres?
A.39
B.84
C.80
D.82
Answer: B.84
Explanation: Capacity of the tank = (12 Ã— 49) litre
Number of buckets required of capacity of each bucket is 17 litre = 12Ã—49/7=12Ã—7=84
Answer is 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?
A.14
B.18
C.15
D.10
Answer: A.14
Explanation: A
14
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.
Question: Given that x and y are nonnegative integers, compute the number of pairs (x, y) such that
5x + y = 20.
A.2
B.3
C.5
D.9
Answer: C.5
Explanation: For x = 0,1,2,3,4, there is a valid y, giving the answer 5 .
correct answer C
Question: A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
A.87 days
B.48 days
C.17 days
D.87 days
Answer: B.48 days
Explanation: B = 1/16 – 1/24
= 1/48
=> 48 days
Answer: B
Question: Of 64 players on a cricket team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
A.54
B.55
C.59
D.71
Answer: B.55
Explanation: Total = 64
Thrower = 37
Rest = 64 - 37 = 27
Left Handed = 27/3 = 9
Right handed = 18
If all Thrower are right handed then total right handed is 37 + 18 = 55
so B. 55 is the right answer
Question: Roger can read a book in k minutes. What part of the book can he read in 9 minutes? (k>8)
A.8+k
B.8/k
C.k/8
D.(k+ 8)/k
Answer: C.k/8
Explanation: Let's sayk = 24
That is, it takes 24 minutes to read the entire book.
So, in 8 minutes, Roger can read1/3of the book
So, we're looking for the answer choice that yields an OUTPUT of1/3whenk = 24
A) 8+24=32ELIMINATE
B) 8/24=1/3KEEP
C)24/8 =3ELIMINATE
D) (24+ 8)/24=32/24 = 4/3ELIMINATE
E) (24-8) /24=16/24 = 2/3ELIMINATE
Answer: C
Question: What is the dividend. divisor 14, the quotient is 9 and the remainder is 5?
A.A)130
B.B)131
C.C)148
D.D)158
Answer: B.B)131
Explanation: D = d * Q + R
D = 14 * 9 + 5
D = 126 + 5
D = 131
Answer B