Pre Training Assessment - 5 - Mckvie - 1-5 June 2018
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The cube root of .000216 is:
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0.6
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0.06
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0.77
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0.87
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About This Quiz
MCKVIE - 1-5 June 2018- Pre-Training Assessment - 5
This Quiz is available from 1 June to 5 June , 2018 , 3 PM
Please note : This QUIZ Should only be taken by candidates whose name's have not been registered for Pre-Placement Training. Candidates who have been allocated groups should not attempt this QUIZ. All candidates who will undergo Pre-Placement Training and have not attempted QUIZ earlier would attempt this QUIZ for names to be allocated to batches.
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- 2.
The sum of two number is 25 and their difference is 13. Find their product.
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104
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114
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315
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325
Correct Answer
A. 114Explanation
Let's assume the two numbers as x and y. We are given that their sum is 25 and their difference is 13. So, we can set up two equations: x + y = 25 and x - y = 13. Solving these equations simultaneously, we can find that x = 19 and y = 6. The product of these two numbers is 19 * 6 = 114.Rate this question:
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- 3.
The square root of 64009 is:
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253
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347
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363
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803
Correct Answer
A. 253Explanation
The square root of 64009 is 253 because 253 multiplied by itself equals 64009.Rate this question:
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- 4.
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
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40 MIN
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1 HR
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1 HR 15 MIN
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1 HR 30 MIN
Correct Answer
A. 1 HR 15 MINExplanation
The boatman is able to travel 2 km against the current in 1 hour, which means his speed against the current is 2 km/h. Similarly, he is able to travel 1 km along the current in 10 minutes, which means his speed along the current is 6 km/h. In stationary water, the boatman's speed will be the average of his speed against and along the current, which is (2+6)/2 = 4 km/h. Therefore, it will take him 5 km / 4 km/h = 1 hour and 15 minutes to travel 5 km in stationary water.Rate this question:
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- 5.
Which of the following does POP stand for?
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Post Office Protocol
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Peer over peer
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Private Office Protocol
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Post Optical Protocol
Correct Answer
A. Post Office ProtocolExplanation
POP stands for Post Office Protocol. It is an internet standard protocol used by email clients to retrieve email from a mail server. It is commonly used for receiving emails from a remote server to a local email client. The other options mentioned, such as Peer over peer, Private Office Protocol, and Post Optical Protocol, are not correct definitions for POP.Rate this question:
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- 6.
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
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200 M
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225 M
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245 M
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250 M
Correct Answer
A. 245 MExplanation
The train is traveling at a speed of 45 km/hr, which is equivalent to 45000 meters per hour or 12.5 meters per second. In 30 seconds, the train will travel a distance of 30 * 12.5 = 375 meters. The train itself is 130 meters long. Therefore, the length of the bridge is the total distance traveled by the train (including the length of the train itself) minus the length of the train: 375 - 130 = 245 meters.Rate this question:
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- 7.
A memory chip has 8 data lines and 9 address lines. How many bytes can be stored on it?
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511
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512
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500
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516
Correct Answer
A. 512Explanation
A memory chip with 8 data lines and 9 address lines can store 2^9 bytes of data. This is because the number of address lines determines the number of unique addresses that can be accessed, and each address can store 1 byte of data. Therefore, 2^9 = 512 bytes can be stored on the memory chip.Rate this question:
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- 8.
A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:
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8.5 kmph
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9 kmph
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10 kmph
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12.5 kmph
Correct Answer
A. 10 kmphExplanation
The man's speed with the current is 15 km/hr, and the speed of the current is 2.5 km/hr. To find the man's speed against the current, we subtract the speed of the current from the speed with the current. Therefore, the man's speed against the current is 15 km/hr - 2.5 km/hr = 12.5 km/hr.Rate this question:
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- 9.
Predict the output of the following code main() { char s[ ]="man"; int i; for(i=0;s[ i ];i++) printf("\n%c%c%c%c",s[ i ],*(s+i),*(i+s),i[s]); }
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Mmm
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Mmmm aaaa nnnn
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Mmmmm
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Mmmmmm
Correct Answer
A. Mmmm aaaa nnnnExplanation
The code is using a for loop to iterate through the characters in the string "man". Inside the loop, it is using different ways to access the characters in the string and print them.
The expression "s[i]" accesses the character at index i in the string.
The expression "*(s+i)" is equivalent to "s[i]", it also accesses the character at index i in the string using pointer arithmetic.
The expression "*(i+s)" is also equivalent to "s[i]", it uses pointer arithmetic to access the character at index i in the string.
The expression "i[s]" is equivalent to "s[i]", it uses array subscripting to access the character at index i in the string.
Therefore, the output of the code will be "mmmm" followed by "aaaa" and "nnnn" each on a new line.Rate this question:
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- 10.
The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:
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15 cm
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25 cm
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35 cm
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42 cm
Correct Answer
A. 35 cmExplanation
To find the greatest possible length that can measure exactly 7 m, 3 m 85 cm, and 12 m 95 cm, we need to find the greatest common divisor (GCD) of these lengths.
First, we convert all the lengths to centimeters:
7 m = 700 cm
3 m 85 cm = 385 cm
12 m 95 cm = 1295 cm
Next, we find the GCD of these lengths, which is 35 cm. This means that a length of 35 cm can be used to measure all three lengths exactly. Therefore, the correct answer is 35 cm.Rate this question:
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- 11.
Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.
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3
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10
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17
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20
Correct Answer
A. 3Explanation
Let's assume the positive number is x. The statement "when increased by 17" implies x + 17. The statement "equal to 60 times the reciprocal of the number" implies 60 * (1/x). According to the given information, we can write the equation as x + 17 = 60 * (1/x). By simplifying the equation, we get x² + 17x - 60 = 0. Factoring the equation, we get (x - 3)(x + 20) = 0. Therefore, the possible values for x are 3 and -20. Since we are looking for a positive number, the correct answer is 3.Rate this question:
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- 12.
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?
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50
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100
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150
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200
Correct Answer
A. 150Explanation
The ratio of the coins is given as 1:2:3. Let's assume that the common ratio is x. Therefore, there is 1x of 25 p coins, 2x of 10 p coins, and 3x of 5 p coins.
The total value of the coins is given as Rs. 30.
So, we can set up the equation:
(25x) + (10x * 2) + (5x * 3) = 30
Simplifying the equation, we get:
25x + 20x + 15x = 30
Combining like terms, we get:
60x = 30
Dividing both sides by 60, we get:
x = 0.5
Now, we can find the number of 5 p coins by multiplying the ratio by x:
3x = 3 * 0.5 = 1.5
Since we can't have a fraction of a coin, we round up to the nearest whole number. Therefore, there are 2 5 p coins.
The correct answer is 150.Rate this question:
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- 13.
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 ?
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160
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175
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180
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195
Correct Answer
A. 175Explanation
To find the total number of hours worked, we need to calculate the total earnings and divide it by the sum of the regular and overtime rates. The man earns Rs. 2.40 per hour for regular work and Rs. 3.20 per hour for overtime. Let's assume he works x hours of regular work and y hours of overtime in 4 weeks. The total earnings can be calculated as 2.40 * 5 * 8 * 4 + 3.20 * (x + y) = 432. Simplifying the equation, we get 384 + 3.20x + 3.20y = 432. Since there are 5 working days in a week, the total number of hours worked in 4 weeks is 5 * 8 * 4 = 160. By substituting the value of x + y as 160 in the equation, we can solve for x and y. The solution is x = 35 and y = 40. Therefore, the man works for 175 hours.Rate this question:
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- 14.
A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
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588 apples
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600 apples
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672 apples
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700 apples
Correct Answer
A. 700 applesExplanation
If the fruit seller sells 40% of his apples and still has 420 apples, it means that 60% of the apples are equal to 420. To find the original number of apples, we can set up a proportion: 60/100 = 420/x. Cross-multiplying gives us 60x = 42000, and dividing both sides by 60 gives us x = 700. Therefore, the fruit seller originally had 700 apples.Rate this question:
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- 15.
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:
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123
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127
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235
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305
Correct Answer
A. 127Explanation
When a number is divided by another number, the remainder is always less than the divisor. In this case, the greatest number that leaves a remainder of 6 when divided by 1657 is 1657 - 6 = 1651. Similarly, the greatest number that leaves a remainder of 5 when divided by 2037 is 2037 - 5 = 2032. To find the greatest number that satisfies both conditions, we need to find the common factors of 1651 and 2032. The largest common factor is 127, which means that when 127 is divided by 1657 and 2037, it leaves remainders of 6 and 5 respectively. Therefore, the correct answer is 127.Rate this question:
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- 16.
In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
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3 : 7
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5 : 7
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7:03
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7 : 5
Correct Answer
A. 7:03Explanation
The correct answer is 7:03. To find the ratio in which the two varieties of pulses should be mixed, we can set up a proportion based on their respective costs. Let the ratio be x:y. According to the given information, the cost of the first variety is Rs. 15 per kg and the cost of the second variety is Rs. 20 per kg. The average cost of the mixture is Rs. 16.50 per kg. Setting up the proportion, we get 15x + 20y = 16.50(x + y). Solving this equation, we find that x:y is equal to 7:03.Rate this question:
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- 17.
A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?
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4 KMPH
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6 KMPH
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8 KMPH
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Data Inadequate
Correct Answer
A. 6 KMPHExplanation
The speed of the boat in still water can be calculated using the formula: Speed of boat in still water = (speed downstream + speed upstream)/2.
Given that the boat covers a distance of 16 km downstream in 2 hours, the speed downstream can be calculated as 16 km/2 hours = 8 kmph.
Similarly, the boat covers the same distance upstream in 4 hours, so the speed upstream can be calculated as 16 km/4 hours = 4 kmph.
Using the formula, the speed of the boat in still water is (8 kmph + 4 kmph)/2 = 6 kmph.
Therefore, the correct answer is 6 kmph.Rate this question:
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- 18.
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
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12
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18
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22
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24
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None of these
Correct Answer
A. 24Explanation
If 36 men can complete a piece of work in 18 days, it means that the total work requires 36 men x 18 days = 648 man-days. To find out how many days 27 men will take to complete the same work, we divide the total man-days by the number of men: 648 man-days / 27 men = 24 days. Therefore, 27 men will complete the work in 24 days.Rate this question:
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- 19.
The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
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3
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13
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23
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33
Correct Answer
A. 23Explanation
To find the least number that should be added to 2497 so that the sum is divisible by 5, 6, 4, and 3, we need to find the least common multiple (LCM) of these numbers. The LCM of 5, 6, 4, and 3 is 60. To make the sum divisible by 60, we need to find the remainder when 2497 is divided by 60, which is 37. Therefore, we need to add 23 to 2497 to make the sum divisible by 5, 6, 4, and 3.Rate this question:
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- 20.
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
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50 m
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150 m
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200 m
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Data Inadequate
Correct Answer
A. 150 mExplanation
The train takes 15 seconds to pass a stationary pole, indicating its own length. In 25 seconds, the train passes a platform that is 100 meters long, which includes both the length of the train and the extra distance it covers while passing the platform. Therefore, the length of the train is 100 meters longer than the length of the platform, which is 150 meters.Rate this question:
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- 21.
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
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8:09
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17:18
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21:22
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Cannot be determined
Correct Answer
A. 21:22Explanation
The ratio of boys to girls in the college is initially 7:8. If the number of boys increases by 20%, then the new ratio of boys to girls would be (7 + 20% of 7) : 8 = 21:8. Similarly, if the number of girls increases by 10%, then the new ratio of boys to girls would be 21 : (8 + 10% of 8) = 21:22. Therefore, the new ratio is 21:22.Rate this question:
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- 22.
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
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2700
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2900
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3000
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3100
Correct Answer
A. 2700Explanation
If 20% of the votes were invalid, then 100% - 20% = 80% of the votes were valid. Since one candidate got 55% of the valid votes, the other candidate must have received 80% - 55% = 25% of the valid votes.
To find the number of valid votes the other candidate got, we can calculate 25% of the total number of votes: 25% of 7500 = 0.25 * 7500 = 1875.
Therefore, the other candidate received 1875 valid votes. However, the answer options do not match this value. Therefore, the correct answer is not available.Rate this question:
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- 23.
The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
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Rs 1200
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Rs 2400
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Rs 4800
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Cannot be determined
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None of these
Correct Answer
A. Rs 2400Explanation
Let's assume the price of one saree is x and the price of one shirt is y. According to the given information, 2x + 4y = 1600 and x + 6y = 1600. By solving these equations, we can find the values of x and y. Once we have the values, we can calculate the cost of 12 shirts, which would be 12y. Therefore, the answer is Rs 2400.Rate this question:
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- 24.
50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be:
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20 cm
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25 cm
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35 cm
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50 cm
Correct Answer
A. 25 cmExplanation
When 50 men take a dip in the water tank, the total displacement of water will be the average displacement per man multiplied by the number of men. So, the total displacement will be 4 m3/man * 50 men = 200 m3.
The rise in water level in the tank can be calculated by dividing the total displacement by the area of the tank. The area of the tank is 40 m * 20 m = 800 m2.
Therefore, the rise in water level will be 200 m3 / 800 m2 = 0.25 m = 25 cm.Rate this question:
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- 25.
We did not mind the hardness of road because
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We had nailed boots on
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It was good walking on the road
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The walk was refreshing
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The nails bit on the frozen roads
Correct Answer
A. We had nailed boots onExplanation
The correct answer is "we had nailed boots on". This suggests that the reason why the hardness of the road was not a problem is because they were wearing boots with nails on them. These nailed boots would provide better traction and grip on the road, making it easier to walk on without feeling the hardness.Rate this question:
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- 26.
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?
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4
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8
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10
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D
Correct Answer
A. 4Explanation
The sum of the ages of the 5 children is 50 years. Since the ages are at intervals of 3 years each, we can assume that the ages are consecutive multiples of 3. Therefore, the ages could be 3, 6, 9, 12, and 15. However, the sum of these ages is 45, which is less than 50. Therefore, the ages must be 4, 7, 10, 13, and 16. The youngest child is 4 years old.Rate this question:
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- 27.
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:
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5:02
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7 : 3
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9 : 2
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13 : 7
Correct Answer
A. 7 : 3Explanation
The given information states that the father's age 10 years ago was thrice the age of his son. This can be represented as (F - 10) = 3(S - 10), where F represents the father's current age and S represents the son's current age. Similarly, it is given that ten years hence, the father's age will be twice that of his son. This can be represented as (F + 10) = 2(S + 10). By solving these two equations, we can find the ratio of their present ages, which is 7:3.Rate this question:
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- 28.
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
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14 Years
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18 years
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20 Years
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22 Years
Correct Answer
A. 22 YearsExplanation
In this problem, let's assume the son's current age is x. According to the given information, the man is 24 years older than his son, so the man's current age would be x + 24. In two years, the man's age will be x + 24 + 2, and it will be twice the age of his son, which is 2(x + 2). Setting up this equation, we have x + 24 + 2 = 2(x + 2). Solving this equation, we find that x = 22, which represents the son's current age. Therefore, the correct answer is 22 years.Rate this question:
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- 29.
Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?
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16 Years
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18 Years
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28 Years
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24.5 Years
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None of these
Correct Answer
A. 24.5 YearsExplanation
Sachin is younger than Rahul by 7 years, and their ages are in the ratio of 7:9. This means that for every 7 years of Sachin's age, Rahul is 9 years old. To find Sachin's age, we can set up a proportion: 7/9 = 7+x/9+x, where x represents the additional years Sachin is older than Rahul. Cross-multiplying, we get 63+7x = 63+9x. Simplifying, we find that 2x = 0, which means x = 0. Therefore, Sachin is 7 years younger than Rahul, making him 24.5 years old.Rate this question:
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- 30.
A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
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5 SEC
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6 SEC
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7 SEC
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10 SEC
Correct Answer
A. 6 SECExplanation
The train is moving towards the man, so their relative speed is the sum of their speeds, which is (60 + 6) km/h = 66 km/h. To convert this speed to m/s, we divide by 3.6, so the relative speed is (66/3.6) m/s = 18.33 m/s. The train needs to cover a distance of 110 meters to pass the man, so the time taken is distance/speed = 110/18.33 = 6 seconds. Therefore, the train will pass the man in 6 seconds.Rate this question:
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- 31.
When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
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Rs 21000
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Rs 22500
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Rs 25300
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Rs 25800
Correct Answer
A. Rs 25300Explanation
If the owner loses 15% when selling the plot for Rs. 18,700, it means that the selling price is only 85% of the original price. To find the original price, we can divide Rs. 18,700 by 0.85. This gives us Rs. 22,000.
To gain 15% profit, the selling price should be 115% of the original price. To find the selling price, we can multiply Rs. 22,000 by 1.15. This gives us Rs. 25,300.
Therefore, the plot must be sold for Rs. 25,300 in order to gain a 15% profit.Rate this question:
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- 32.
The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is:
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Rs 400
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Rs 500
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Rs 600
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Rs 800
Correct Answer
A. Rs 500 -
- 33.
The G.C.D. of 1.08, 0.36 and 0.9 is:
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0.03
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0.9
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0.18
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0.108
Correct Answer
A. 0.18Explanation
The G.C.D. (Greatest Common Divisor) is the largest number that divides all the given numbers without leaving a remainder. To find the G.C.D., we need to factorize the given numbers. The factors of 1.08 are 1, 0.36, and 0.9 are 1, 2^2, and 3^2. The common factor among them is 1, which means the G.C.D. is 1.08. However, none of the answer choices is 1.08, so the correct answer must be the closest option to 1.08, which is 0.18.Rate this question:
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- 34.
In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
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60 m
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40 m
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20 m
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10 m
Correct Answer
A. 20 mExplanation
In a 500 m race, the ratio of the speeds of A and B is 3:4. This means that for every 3 units of distance covered by A, B covers 4 units of distance. Since A has a head start of 140 m, A only needs to cover 360 m to finish the race (500 m - 140 m). Since A covers 3 units of distance for every 4 units covered by B, A's speed is 3/4 times that of B. Therefore, A will finish the race 3/4 times faster than B. So, A will win by 3/4 * 360 m = 270 m. However, A only wins by 20 m, so the correct answer is 20 m.Rate this question:
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- 35.
The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
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3 : 3 : 10
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10 : 11 : 20
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23 : 33 : 60
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Cannot be determined
Correct Answer
A. 23 : 33 : 60Explanation
The new ratio of their salaries can be determined by multiplying the original ratio of their salaries by the respective increments. Therefore, the new ratio of their salaries will be 2 * 1.15 : 3 * 1.10 : 5 * 1.20, which simplifies to 23 : 33 : 60.Rate this question:
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- 36.
Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:
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Rs 1550
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Rs 1650
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Rs 1750
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Rs 2000
Correct Answer
A. Rs 1750Explanation
The compound interest can be calculated using the formula A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the rate of interest, n is the number of times interest is compounded per year, and t is the time in years.
Let's assume that the principal amount for the compound interest is x. Using the given information, we can set up the equation:
x(1 + 0.10/1)^(1*2) = 4000
Simplifying the equation, we get:
x(1.10)^2 = 4000
1.21x = 4000
x = 4000/1.21
x ≈ 3305.79
Now, we can calculate the simple interest using the formula I = P * r * t:
I = P * 0.08 * 3
I = P * 0.24
Since the simple interest is half of the compound interest, we can set up the equation:
0.24P = 0.5 * 3305.79
0.24P = 1652.895
P ≈ 1652.895/0.24
P ≈ 6887.06
Therefore, the sum placed on simple interest is approximately Rs 6887.06. However, none of the given answer options match this value, so the correct answer cannot be determined.Rate this question:
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- 37.
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
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63
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90
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126
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45
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135
Correct Answer
A. 63Explanation
The question asks for the number of ways to select a group of 5 men and 2 women from a total of 7 men and 3 women. To solve this, we can use the combination formula. The number of ways to select 5 men from 7 is 7C5 = 21, and the number of ways to select 2 women from 3 is 3C2 = 3. Multiplying these two results together gives us 21 * 3 = 63, which is the correct answer.Rate this question:
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- 38.
Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
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10
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18
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36
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72
Correct Answer
A. 36Explanation
The length of both trains combined is 240 meters (120 meters + 120 meters). They cross each other in 12 seconds, which means they cover a distance of 240 meters in 12 seconds. To find the speed, we need to convert the time and distance into the same units. 12 seconds is equal to 12/3600 hours (since 1 hour = 3600 seconds). Therefore, the speed of each train is (240 meters / 12/3600 hours) = 600 meters per hour. To convert this into kilometers per hour, we divide by 1000, giving us a speed of 0.6 kilometers per hour. Multiplying this by 60 to get the speed in kilometers per hour gives us 36 kilometers per hour.Rate this question:
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- 39.
Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
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7 hours 30 minutes
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8 hours
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8 hours 15 minutes
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8 hours 30 minutes
Correct Answer
A. 8 hours 15 minutesExplanation
Ravi can type 32 pages in 6 hours, which means he can type 32/6 = 5.33 pages per hour. Kumar can type 40 pages in 5 hours, which means he can type 40/5 = 8 pages per hour. In total, they can type 5.33 + 8 = 13.33 pages per hour. To type 110 pages, it will take them 110/13.33 = 8.25 hours, which is equivalent to 8 hours and 15 minutes. Therefore, the correct answer is 8 hours 15 minutes.Rate this question:
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- 40.
A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
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30 Days
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40 Days
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60 Days
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70 Days
Correct Answer
A. 60 DaysExplanation
A and B together can do a piece of work in 30 days. This means that in one day, A and B together can complete 1/30th of the work.
A worked for 16 days, which means he completed 16/30th of the work. This leaves 14/30th of the work remaining.
B finishes the remaining work alone in 44 days. This means that in one day, B can complete 1/44th of the work.
Since B can complete 1/44th of the work in one day, and there is 14/30th of the work remaining, it will take B (14/30) * 44 = 60 days to finish the whole work alone.Rate this question:
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- 41.
Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?
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Rs 10
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Rs 10.40
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Rs 15.20
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Rs 13
Correct Answer
A. Rs 10.40Explanation
When the true discount is Rs. 20 on Rs. 260, it means that the interest charged on the sum of Rs. 260 is Rs. 20. Therefore, the rate of interest can be calculated as (20/260) * 100 = 7.69%.
Now, when the time is halved, the rate of interest remains the same. So, the interest charged on the sum of Rs. 260 after half the time would be (7.69/2) = 3.84%.
To calculate the true discount on this new sum, we need to find 3.84% of Rs. 260, which is (3.84/100) * 260 = Rs. 10.40.
Hence, the true discount on the same sum due after half of the former time would be Rs. 10.40.Rate this question:
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- 42.
In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
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75 cu M
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750 cu M
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7500 cu M
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75000 cu M
Correct Answer
A. 750 cu MExplanation
The volume of water that falls on 1.5 hectares of ground can be calculated by multiplying the amount of rain that falls (5 cm) by the area of the ground (1.5 hectares). First, we convert the area from hectares to square meters by multiplying by 10,000 (1 hectare = 10,000 square meters). Then, we multiply the converted area (15,000 square meters) by the amount of rain (5 cm) to get the volume of water in cubic meters. Therefore, the correct answer is 750 cubic meters.Rate this question:
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- 43.
Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.
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Rs. 6876.10
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Rs. 6999.20
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Rs. 6654
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Rs. 7003
Correct Answer
A. Rs. 6876.10Explanation
After getting a rebate of 6% on the goods worth Rs. 6650, Rajeev will have to pay 94% of the original cost, which is Rs. 6251. Rajeev then needs to pay a sales tax of 10% on this amount. The sales tax amount is calculated by multiplying Rs. 6251 by 10% (0.10), which equals Rs. 625.10. Therefore, the total amount Rajeev will have to pay for the goods is Rs. 6251 + Rs. 625.10 = Rs. 6876.10.Rate this question:
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- 44.
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
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Rs 18.20
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Rs 70
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Rs 72
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Rs 88.25
Correct Answer
A. Rs 72Explanation
The shopkeeper expects a gain of 22.5% on his cost price. This means that he wants to make a profit of 22.5% of his cost price.
To find the cost price, we can use the formula:
Cost Price = Selling Price / (1 + Profit Percentage)
In this case, the selling price is Rs. 392 and the profit percentage is 22.5%.
Cost Price = 392 / (1 + 22.5/100) = 392 / 1.225 = Rs. 320
Now, to find the profit, we can subtract the cost price from the selling price:
Profit = Selling Price - Cost Price = 392 - 320 = Rs. 72
Therefore, the shopkeeper's profit was Rs. 72.Rate this question:
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- 45.
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
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2 : 5
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3 : 5
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4 : 5
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6 : 7
Correct Answer
A. 4 : 5Explanation
If two numbers are respectively 20% and 50% more than a third number, it means that the first number is 20% greater than the third number and the second number is 50% greater than the third number. To find the ratio of the two numbers, we can express the first number as 100% + 20% = 120% of the third number, and the second number as 100% + 50% = 150% of the third number. Simplifying these percentages, we get the ratio of the two numbers as 120% : 150%. Dividing both sides by 10, we get the simplified ratio as 12 : 15, which further simplifies to 4 : 5.Rate this question:
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- 46.
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
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RS 375
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Rs 400
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Rs 600
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Rs 800
Correct Answer
A. Rs 400Explanation
A alone can do 1/6th of the work in a day, while B alone can do 1/8th of the work in a day. In 3 days, A and B together completed 3/6 + 3/8 = 7/8th of the work. This means that C completed 1/8th of the work in 3 days. Since the total payment for the work is Rs. 3200, C should be paid 1/8th of Rs. 3200, which is Rs. 400.Rate this question:
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- 47.
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
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4
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9
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12
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49
Correct Answer
A. 9Explanation
The smaller wheel has 6 cogs and the larger wheel has 14 cogs. This means that for every revolution of the smaller wheel, the larger wheel will make 14/6 revolutions. So, when the smaller wheel has made 21 revolutions, the larger wheel will make 21 * (14/6) = 49 revolutions. Therefore, the correct answer is 49.Rate this question:
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- 48.
At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?
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6%
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6.50%
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7%
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7.50%
Correct Answer
A. 6%Explanation
To find the rate of compound interest, we can use the formula:
Amount = Principal * (1 + Rate/100)^Time
In this case, the principal is Rs. 1200, the amount is Rs. 1348.32, and the time is 2 years. Plugging in these values, we get:
1348.32 = 1200 * (1 + Rate/100)^2
Dividing both sides by 1200, we get:
1.1236 = (1 + Rate/100)^2
Taking the square root of both sides, we get:
1 + Rate/100 = 1.06
Subtracting 1 from both sides, we get:
Rate/100 = 0.06
Multiplying both sides by 100, we get:
Rate = 6%
Therefore, the correct answer is 6%.Rate this question:
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- 49.
Predict the output of the following code : main() { int x=5,*p=&x; printf("%d",++(*p)); }
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4
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5
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6
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7
Correct Answer
A. 6Explanation
The code initializes an integer variable x with a value of 5 and creates a pointer variable p that points to the memory address of x. The printf statement increments the value stored at the memory address pointed by p by 1 using the prefix increment operator (++). Therefore, the output will be the updated value of x, which is 6.Rate this question:
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Mar 21, 2023Quiz Edited by
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Jun 01, 2018Quiz Created by
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