RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: 4, 12, 48, 240, 1440, 10080,(...)
A.80640
B.10080
C.6200
D.10020
Answer: A.80640
Explanation: Explanation :
Go on multiplying the given numbers by 3, 4, 5, 6, 7,8
Answer : Option A
Question: If (10^4 * 3.456789)^14 is written as a single term, how many digits would be to the right of the decimal place?
A.9
B.14
C.21
D.28
Answer: D.28
Explanation: 3.456789^14 has 6*14 = 84 decimal places.
10^56 moves the decimal place to the right 56 places.
(10^4 * 3.456789)^14 has 84-56 = 28 digits after the decimal point.
The answer is D.
Question: When m is divided by 9, the remainder is 2. When m is divided by 13, the remainder is 3. If 1 < m < 300, what is the greatest possible value of m?
A.173
B.203
C.233
D.263
Answer: D.263
Explanation: 13*9 = 117
Let's start with 3, and keep adding 13 until we find a number with the form 9k+2.
3, 16, 29 = 9*3+2
The next possible number is 29 + 117 = 146
The next possible number is 146 + 117 = 263
The next possible number would be greater than 300.
The answer is D.
Question: The ratio of numbers is 3:4 and their H.C.F is 5. Their L.C.M is:
A.12
B.16
C.24
D.60
Answer: D.60
Explanation: Let the numbers be 3x and 4x.
Then their H.C.F = x. So, x = 5.
So, the numbers are 15 and 20.
L.C.M of 15 and 20 = 60.
ANSWER:D
Question: A driving school claims an average test pass rate of 76.8 percent. What is the least number of pupils required to achieve this result?
A.132
B.127
C.125
D.152
Answer: C.125
Explanation: C
125
96 passes out of 125 give an average of 76.8%
Question: A committee is reviewing a total of 30x black-and-white films and 6y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction of the selected films are in color?
A.22/21
B.20/21
C.23/21
D.25/21
Answer: B.20/21
Explanation: Say x=y=10. In this case we would have:
30x=300 black-and-white films;
6y=60 color films.
y/x%=10/10%=1% of the black-and-white films, so 3 black-and-white films and all 60 color films, thus total of 63 films were selected.
Color films thus compose 60/63=20/21 of the selected films.
Answer:B
Question: A 900 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
A.1000
B.1050
C.1060
D.370
Answer: B.1050
Explanation: Speed = 900/18 = 50/1 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 50/1
=> x = 1950 m.
L=1950-900 =1050
Answer: Option B
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.7 days
B.6 days
C.9 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: Ashok secured average of 79 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
A.104
B.27
C.99
D.17
Answer: A.104
Explanation: Explanation:
Number of subjects = 6
Average of marks in 6 subjects = 79
Therefore total marks in 6 subjects = 79 * 6 = 474
Now, No. of subjects = 5
Total marks in 5 subjects = 74 * 5 = 370
Therefore marks in 6th subject = 474 – 370 = 104
ANSWER: A
Question: Two pipes can separately fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?
A.17 hrs
B.16 hrs
C.15 hrs
D.13 hrs
Answer: B.16 hrs
Explanation: 1/20 + 1/30
= 1/12
1 + 1/3
= 4/3
1 --- 12
4/3 --- ?
4/3 * 12 = 16 hrs
Answer:B
Question: Three persons A, B and C started new business. A & C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A & B was 3:2, If Rs 157300 was their profit, how much amount did B receive?
A.35009
B.37900
C.39000
D.48400
Answer: D.48400
Explanation: A:B = 3:2 = 6:4
A:C = 2:1 = 6:3
A:B:C = 6:4:3
B share = (4/13)*157300 = 48400
(D)
Question: If a,b, and c are consecutive positive integers and a>b>c, what can be the value of (a^2-b^2)(b^2-c^2)?
A.77
B.88
C.99
D.110
Answer: C.99
Explanation: (a^2-b^2)(b^2-c^2) = (a+b)*(a-b)*(b+c)*(b-c) = (a+b)*(-1)*(b+c)*(-1) = (a+b)*(b+c)
Therefore, the product should have factors with a difference of 2.
99 = 9*11, so this is a possible value for the original expression.
The answer is C.
Question: Two trains are moving at 80 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
A.6 sec
B.7 sec
C.7 2/2 sec
D.8 sec
Answer: A.6 sec
Explanation: 70 + 80 = 150 * 5/18 = 125/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/125 = 6 sec
Answer: A
Question: The average of 13 numbers is 10.9. If the average of the first seven numbers is 10.5 and that of the last seven numbers is 11.4, then the middle number is
A.15.6
B.11.6
C.12.6
D.13.3
Answer: B.11.6
Explanation: Explanation:
Middle numbers = [(10.5 x 7 + 11.4 x 7) - 10.9 x 13] = (131.4 - 119-9) = 11.6 Answer: B
Question: The maximum number of student amoung them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
A.91
B.910
C.1001
D.1911
Answer: A.91
Explanation: Solution
Required number of student = H.C.F of 1001 and 910 = 91. Answer A
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
A.33 1/2%
B.33 2/3%
C.33 1/3%
D.33 3/3%
Answer: C.33 1/3%
Explanation: 675 ---- 225
100 ---- ? => 33 1/3%
Answer:C
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 2x1/3 hours to fill the tank. The leak can drain all the water of the tank in
A.5 hours
B.7 hours
C.8 hours
D.14 hours
Answer: D.14 hours
Explanation: Work done by the leak in 1 hour = 1/2 - 3/7 = 1/14.
Leak will empty the tank in 14 hrs.
ANSWER:D
Question: How many words can be formed by using all letters of the word “BIHAR”
A.478
B.451
C.120
D.123
Answer: C.120
Explanation: The word BIHAR contains 5 different letters.
Required number of words = 5p5 = 5! = (5x4x3x2x1) = 120
Ans: C
Question: In a certain pond, 40 fish were caught, tagged, and returned to the pond. A few days later, 40 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
A. 1000
B. 625
C. 1,250
D. 2,500
Answer: A. 1000
Explanation: total fish = x
percentage of second catch = (2/40)*100 = 5%
so, x * 5% = 50
x = 1000 ans.A
Question: Line k is in the rectangular coordinate system. If the a-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k?
A.-3a + 2y = 6
B.3a + 2y = -6
C.3a - 2y = 6
D.2a - 3y = 6
Answer: A.-3a + 2y = 6
Explanation: This question can be solved in much simpler way.
To find the a intercept
Put y=0 in the equation of the line.
To find the y-intercept
Put a=0 in the equation of the line.
So
Sub a=0 in the answer choices check whether you are getting y=3.
A. -3a + 2y = 6 --- y = 3
B. 3a + 2y = -6 --- y = -3
C. 3a - 2y = 6 ----- y = -3
D. 2a - 3y = 6 --- y = -2
E. -2a - 3y = 6 --- y =-2
Eliminate answer B,C,D and E.
So the answer is A.
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 26 sec. What is the length of the platform?
A.389 m
B.150 m
C.289 m
D.299 m
Answer: B.150 m
Explanation: Speed = 300/26 = 150/13 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 150/13
=> x = 150 m.
Answer:B
Question: A is twice as good a workman as B. Together they finish a piece of work in 18 days. Then B can do a similar work by himself in :
A.54 days
B.27 days
C.29 days
D.17 days
Answer: A.54 days
Explanation: B can complete work in 54 days and A can complete work in 27 days.
It is simple to get the ans.
If 3B ( A+B= 2B+B) can do work in 18 days,
one B will complete work in 54 days.
ANSWER:A
Question: The sum of the ages of 4 children born at the intervals of 4 years each is 48 years. What is the age of the youngest child?
A.2 years
B.4 years
C.6 years
D.8 years
Answer: C.6 years
Explanation: Let the ages of the children be x, (x + 4), (x + 4)and (x + 12) years.
Then, x + (x + 4) + (x + 8) + (x + 12) = 48
4x = 24 => x = 6.
Age of youngest child = x = 6 years.
ANSWER:C
Question: The product of the prime integers between 23 and 35, inclusive, is:
A.50! – 40!
B.99,029
C.2,303
D.22,011
Answer: D.22,011
Explanation: only prime number bet ween 23 and 35 inclusive are 23, 29, 33
thus 23*29*33 =22,011
Ans: D
Question: A flagpole 18 meters high casts a shadow of length 45 meters. If a building under similar conditions casts a shadow of length 65 meters, what is the height of the building (in meters)?
A.22
B.24
C.26
D.28
Answer: C.26
Explanation: The height:length ratio will be equal in both cases.
18 / 45 = x / 65
x = 26
The answer is C.
Question: If the L.C.M of two numbers is 600 and their product is 18000, find the H.C.F of the numbers.
A.50
B.30
C.125
D.25
Answer: B.30
Explanation: H.C.F = (Product of the numbers) / (Their L.C.M) = 18000/600 = 30.
ANSWER:B
Question: What will come in place of the x in the following Number series? 46080, 3840, 384, 48, 8, x
A.2
B.3
C.4
D.5
Answer: A.2
Explanation: 46080 /12 = 3840
3840 /10 = 384
384 /8 = 48
48 /6 = 8
8/4 = 2
A
Question: There are 4 different letters and 4 addressed envelopes.In how many ways can the letters be put in the envelopes so that atleast one letter goes to the correct address ?
A.349
B.77
C.2087
D.27066
Answer: B.77
Explanation: Answer:B
Question: A certain number of workers can do a work in 75 days. If there were 10 workers more it could be finished in 10 days less. How many workers are there?
A.65
B.30
C.28
D.24
Answer: A.65
Explanation: number of workers = 10* (75-10)/10 = 65
Answer is A
Question: If a fair 6-sided die is rolled three times, what is the probability that exactly one 5 is rolled?
A.25/216
B.50/216
C.25/72
D.25/36
Answer: C.25/72
Explanation: Total ways in which a 6-sided die can be rolled three times = 6*6*6 = 216
To get exactly one 5, there are three ways:
A 5 on the first roll and non 5 on other two rolls. This can be done in 1*5*5 = 25 ways.
The 5 could be on the second or third roll too. So total favorable cases = 25*3 = 75
Required Probability = 75/216 = 25/72
Answer (C)
Question: An empty container is filled with pure alcohol. The alcohol is slowly allowed to run out and when the container is 1/4 empty ,it is replaced with water . Next, when the container is half empty it is again filled with water. Finally, when it is empty, it is again filled with water. What percentage of container is alcohol now?
A.81/2%
B.113/4%
C.93/8 %
D.143/8%
Answer: C.93/8 %
Explanation: Ratio of quantity of alcohol left to total quantity
=>1/1 x (3/4)/1 x (1/2)/1 x (1/4)/1
=>3/32
Alcohol percentage=3/32 x 100 => 93/8%
ANSWER:C
Question: A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?
A.7 1/2
B.5 1/2
C.2 1/2
D.8 1/2
Answer: D.8 1/2
Explanation: D = 170
S = 72 * 5/18 = 20 mps
T = 170/20 = 8 1/2 sec
Answer: D
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
A.160
B.175
C.190
D.200
Answer: B.175
Explanation: Suppose the man works overtime for x hours.
Now, working hours in 4 weeks = (5 x 8 x 4) = 160.
160 x 2.40 + x x 3.20 = 432
3.20x = 432 - 384 = 48
x = 15.
Hence, total hours of work = (160 + 15) = 175.
answer :B
Question: A circular rim A having a diameter of 54 inches is rotating at the rate of x inches/min. Another circular rim B with a diameter of 27 inches is rotating at the rate of y inches/min. What is the value of y in terms of x, if both the rims reach their starting positions at the same time after every rotation.
A.2x
B.3x
C.4x
D.5x
Answer: A.2x
Explanation: t = S1/V1 = S2/V2
or, 54/x = 27/y
or, y = 54x/27 = 2x (Answer A)
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 130 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
A.28 sec
B.16 sec
C.37 sec
D.18 sec
Answer: C.37 sec
Explanation: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 120 = 370 m.
Time taken = 370/10 = 37 sec.
Answer:C
Question: The average of first eight prime numbers which are odd is?
A.12.25
B.15.7
C.15.2
D.15.8
Answer: A.12.25
Explanation: Sum of first 8 prime no. which are odd = 98
Average = 98/8 = 12.25
Answer:A
Question: (856942 x 555) = ?
A.484638125
B.474638130
C.474638135
D.475602810
Answer: D.475602810
Explanation: 856942 x 555=475602810Ans D
Question: There were 35 students in a hostel. Due to the admission of 7 new students, the expenses of mess were increased by 42 per day while the average expenditure per head diminished by 1. What was the original expenditure of the mess?
A.400
B.400
C.445
D.465
Answer: B.400
Explanation: Let the original average expenditure be `x.
Then,
42(x – 1) – 35x = 42 ⇔ 7x = 84 ⇒ x = 12.
∴ Original expenditure = (35 × 12)= 420.
Answer B
Question: The ratio 6 : 3 expressed as a percent equals
A.12.5%
B.40%
C.80%
D.200%
Answer: D.200%
Explanation: Solution
6 : 3	= 6/3
= (6/3 x 100)%.
= 200 %.
Answer D
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 192 votes. Find the total number of valid votes?
A.430
B.438
C.436
D.480
Answer: D.480
Explanation: Let the total number of valid votes be x.
70% of x = 70/100 * x = 7x/10
Number of votes secured by the other candidate = x - 7x/100 = 3x/10
Given, 7x/10 - 3x/10 = 192 => 4x/10 = 192
=> 4x = 1920 => x = 480.
Answer:D
Question: Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point E at the same time, how long, in hours, after the trains depart will they again meet at Point E?
A.3
B.6
C.9
D.18
Answer: B.6
Explanation: I don't agree with your solutions, first. And second the answer choices don't seem to contain the right answer.
My solution is as follows, and I ask anyone to correct me if I am wrong.
Solution 1
Let the distance covered by train A be X, thus that covered by the train B will be 12*3.14-X
dA = X dB = 12*3.14 - X
Times taken by A and B are
tA= X/4*3.14 , tB = (12*3.14 - X)/6*3.14 (ii)
Since they have been traveling for the same period of time, then
X/4*3.14 = (12*3.14 - X)/6*3.14
X/2 =(12*3.14 -X)/3
3X = 2(12*3.14 -X)
5X = 24*3.14
X = 24*3.14/5
Plugging that in either equation of (ii) yields t = 6/5
Solution 2
We add the speed of A and B: totalSpeed E= 4*3.14 + 6*3.14 = 10*3.14
Total distance covered = 12*3.14
t ime = distance / speed = 12*3.14/10*3.14 = 6/5.
tA =( X/4*3.14) =(24*3.14/5)/4*3.14 = 6/5=B
Question: The distance from City A to City B is 120 miles. While driving from City A to City B, Cara drives at a constant speed of 30 miles per hour. Dan leaves City A 90 minutes after Cara. What is the minimum constant speed in miles per hour that Dan must exceed in order to arrive in City B before Cara?
A.42
B.44
C.46
D.48
Answer: D.48
Explanation: The time it takes Cara to drive to City B is 120 / 30 = 4 hours.
Dan needs to take less than 2.5 hours for the trip.
Dan needs to exceed a constant speed of 120 / 2.5 = 48 miles per hour.
The answer is D.
Question: 19/6 = 4/27 . which method did you use to determine whether this proportion is true or false?
A.true
B.neutral
C.false
D.not sure
Answer: C.false
Explanation: 19/6= 4/27. cross multiplication: 19 * 27 = 513, 6 * 4 = 24,
we see that 513 are not equal to 24. so there is no proportion. corrcet answer: (C)
Question: The water level in a rectangular swimming pool measuring 40 feet by 25 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)
A.100
B.250
C.750
D.3750
Answer: D.3750
Explanation: 6 inches = 1/2 feet (there are 12 inches in a foot.), so 40*25*1/2=500 feet^3 of water must be removed, which equals to 500*7.5=3750 gallons.
Answer: D.
Question: Two pipes X and Y can separately fill a cistern in 18 and 24 hours respectively. If they are turned on alternately for one hour each, how long will it take to fill the cistern?
A.20 1/2 hours
B.20 1/6 hours
C.20 3/2 hours
D.23 1/2 hours
Answer: A.20 1/2 hours
Explanation: n:
1/18 + 1/24 = 7/72
72/7 = 10 2/7
7/72 * 10 = 35/36 ----- 20 hours
WR = 1 – 35/36 = 1/36
1 h ----- 1/18
? ----- 1/36 = 1/2 hours
=> 20 1/2 hours
Answer: A
Question: The ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively
A.18 years
B.88 years
C.77 years
D.10 years
Answer: D.10 years
Explanation: Let their ages be x and (x + 20) years.
5 (x - 5) = (x + 20 - 5) or 4x = 40 or x = 10.
Their present ages are 30 years and 10 years
Answer:D
Question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
A.662
B.672
C.652
D.642
Answer: A.662
Explanation: 8 * 84 = 672 – 10 = 662
ANSWER:A
Question: Alice took out a charge account at the General Store and agreed to pay 3% simple annual interest. If she charges $40 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?
A.$41.20
B.$41.60
C.$42.00
D.$42.40
Answer: A.$41.20
Explanation: 1.03*$40=$41.20
The answer is A.
Question: In an election between two candidates, 10% of votes are were declares invalid. First candidate got 10800 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was:
A.9000
B.98000
C.60000
D.11000
Answer: C.60000
Explanation: 100 % - 10 % = 90 %
54%-36%=18%
18% ------> 10800 ( 18 × 600 = 10800)
100% -------> 60000 votes (100 × 600 = 60000)
C
Question: A train running at the speed of 30 km/hr crosses a pole in 9 sec. What is the length of the train?
A.75 m
B.180 m
C.324 m
D.Cannot be determined
Answer: A.75 m
Explanation: Speed = 30 * 5/18 = 25/3 m/sec
Length of the train = speed * time = 25/3 * 9 = 75 m
ANSWER:A
Question: In a certain pond, 30 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
A.750
B.625
C.1,250
D.2,500
Answer: A.750
Explanation: This is a rather straight forward ratio problem.
1. 30 fish tagged
2. 2 out of the 50 fish caught were tagged thus 2/50
2/50=30/x
thus, x=750
Think of the analogy: 2 fish is to 50 Fish as 50 fish is to ...?
You've tagged 50 fish and you need to find what that comprises as a percentage of the total fish population - we have that information with the ratio of the second catch.
A
Question: John throws a coin until a series of four consecutive heads or three consecutive tails appears. What is the probability that the game will end after the fifth throw?
A.1/16
B.2/16
C.3/16
D.7/16
Answer: A.1/16
Explanation: Let's consider the routes that would lead to ending the game on the fourth toss. In order to be a win at that point, tosses #2#3#4 would all have to be the same, either H or T, and in order for the game NOT to end on the third toss, the first toss would have to be different from the other four. Thus, the only two possible sequences are
H-T-T-T-T ----> P = (1/2)^5 = 1/32
T-H-H-H-H ----> P = (1/2)^5 = 1/32
Either one of these would satisfy the condition, so we could have one or the other. OR means add in probability.
1/32 + 1/32 = 2/32 = 1/16
Answer(A).
Question: A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is selected from the 6 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order, constitute a different code, how many diff stocks is it possible to designate with these codes?
A.258
B.426
C.324
D.542
Answer: A.258
Explanation: Pretty simple actually
Number of 1 letter symbols = 6
Number of 2 letter symbols = 6*6
Number of 3 letter symbols = 6*6*6
The answer is sum of the 3. = 258
The answer choices have their units digits unique. All 3 of the above end in 6 (6 to the power of anything ends in 6) so 6+6+6 = 18 i.e. ends with 8.
So the answer is A.
Question: In a Don Bosco college students, 80 percent are third year students and 90 percent are not second-year students. What fraction of those students who are not third-year students are second-year students?
A. 3/4
B. 2/3
C. 4/7
D. 1/2
Answer: D. 1/2
Explanation: = 10/20. = 1/2
my answer is D too
Question: Lagaan is levied on the 60 percent of the cultivated land. The revenue department collected total Rs. 3,64,000 through the lagaan from the village of Mutter. Mutter, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Mutter over the total taxable land of the village is:
A.0.20833
B.0.14544
C.0.21978
D.0.35466
Answer: C.0.21978
Explanation: Total land of Sukhiya = \inline \frac{480x}{0.6} = 800x
\therefore Cultivated land of village = 364000x
\therefore Required percentage = \inline \frac{800x}{364000}\times 100 = 0.21978
C
Question: Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
A.Rs. 135
B.Rs. 162
C.Rs. 189
D.Rs. 198
Answer: C.Rs. 189
Explanation: CP per kg of mixture = [24(150) + 36(125)]/(24 + 36) = Rs. 135
SP = CP[(100 + profit%)/100]
= 135 * [(100 + 40)/100] = Rs. 189.
ANSWER:C
Question: What is the color code for a 220 omega.gif 5% resistor?
A.Red, Red, Brown, Gold
B.Red, Red, Brown,Pink
C.Red, Red, Brown, Black
D.Red, Red, Brown, BROUNE
Answer: B.Red, Red, Brown,Pink
Explanation: Resistor colour coding series:
Black 0
Brown 1
Red 2
Orange 3
Yellow 4
Green 5
Blue 6
Violet 7
Gray 8
White 9
None 20%
Silver 10%
Gold 5%
Therefore Red, Red, Brown, Gold
2 2 101 5%
Answer:B
Question: 52 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
A.30.33
B.34.44
C.26.1
D.28.0
Answer: A.30.33
Explanation: Explanation:
Let the two parts be (52 - x) and x.
Then, 10 (52 - x) + 22x = 780
=> 12x = 260
=> x = 21.66.
Bigger part = (52 - x) = 30.33.
Answer: A) 30.33
Question: How many kg of pure salt must be added to 100kg of 10% solution of salt and water to increase it to a 25% solution?
A.A)6.7
B.B)1.3
C.C)9.6
D.D)20
Answer: D.D)20
Explanation: Amount salt in 100kg solution = 10*100/100 = 10 kg
Let x kg of pure salt be added
then(10+x)/(100+x)=25/100
40+4x=100+x
3x = 60
x = 20
Answer is D
Question: In the equation A + B + C + D + E = FG where FG is the two digit number whose value is 10F + G and letters A, B , C , D , E, F and G each represent different digits. If FG is as large as possible. What is the value of G?
A.9
B.2
C.3
D.45
Answer: B.2
Explanation: FG is as large as possible and all the 7 numbers should be different.
By trial and Error method,
9 + 8 + 7 + 6 + 5 = 35…5 is getting repeated twice.
9 + 8 + 7 + 6 + 4 = 34…4 is getting repeated
9 + 8 + 7 + 5 + 4 = 33…3 repeats
9 + 8 + 6 + 5 + 4 = 32
None of the numbers repeat in the above case and 32 is the maximum number FG can have. The value of G is 2.
Ans: B
Question: Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
A.6
B.4
C.5
D.1
Answer: C.5
Explanation: Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.
Required difference = (42 - 36) years = 6 years.
Answer:C