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AILET entrance exam Question Bank Solutions

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A student multiplied a number by `3/5` instead of `5/3`. Find the error percentage.

[1] Quantitative Techniques
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Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

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If 20% of a = b, then b% of 20 is the same as

[1] Quantitative Techniques
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In a test, a candidate secured 336 marks out of maximum marks x. If the maximum marks x had been converted into 400 marks, he would have secured 192 marks. What was the maximum marks of the test?

[1] Quantitative Techniques
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In a factory, 60% of the workers are above 30 yr and of these 75 % are males and the rest are females. If there are 1350 male workers above 30 yr, the total number of workers in the factory is

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Twelve percent of Kaushal's monthly salary is equal to sixteen percent of Nandini's monthly salary. Suresh's monthly salary is half that of Nandini's monthly salary. If Suresh's annual salary is ₹1.08 lakh, what is Kaushal' s monthly salary?

[1] Quantitative Techniques
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A has some mangoes. He sold 40% more than he ate. If he sold 70 mangoes, how many did he eat?

[1] Quantitative Techniques
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If each of the dimensions of a rectangle is increased by 200%, the area is increased by

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Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?

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The population of a city is 2,96,000 out which 1,66,000 are males. 50% population is literate. If 70% males are literate, then the number of women who are literate is

[1] Quantitative Techniques
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A retailer offers the following discount schemes for buyers on articles

  1. Two successive discounts of 10%
  2.  A discount of 12% followed by a discount of 8%
  3. Successive discounts of 15% and 5%.
  4.  A discount of 20%.

The selling price will be minimum under the scheme

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Madhu takes twice as much time as Uma to complete work and Ramesh does it in the same time as Madhu and Umatogether. If all three working together can finish the work in 6 days, then the time taken by Madhu to finish the work is

[1] Quantitative Techniques
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Solve the following question and mark the best possible option.
A tank can be filled up by two pipes A and B in 2 hours and 3 hours respectively. A third pipe C can empty the full tank in 6hours. If all the taps can be turned on at the same time, the tank will be full in:

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Solve the following question and mark the best possible option.
It takes 8 people working at equal rates to finish work in 96 days. How long will 6 workers take to finish the same work?

[1] Quantitative Techniques
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Solve the following question and mark the best possible option.
Four gardeners with four grass mowers can mow 400 square meters of ground in four hours. How long would it take for eight gardeners with eight grass mowers to mow 800 square meters of the ground?

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Twenty-five workers were employed to complete a compound wall in 12 days. Five workers left after working for 4 days. The remaining 20 workers completed the work. In how many days the total job was completed?

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10 men can finish the construction of a hut in 8 days. How many men are needed to finish the same in half a day?

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16 men can do a piece of work in 16 days. 4 days after they started the work 8 more men joined them. How many days will they now take to complete the remaining work?

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A group of workers accepted to do a piece of work in 25 days. If 6 of them did not turn up for the work and the remaining workers did the work in 40 days, then the original number of workers was

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A contractor Abhay Singh employed some men to do a piece of work which can be done by 16 men in 14 days. At the end of 5 days, 7 of the men stopped working and 3 days later half of the remainder stopped working; the rest finished the work in 5 days. What is the number of men originally employed?

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