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Made bySaurav Hathi

[Advance Learning] Quant - Number System and Geometry-3

Q1:

Kamlesh was asked to choose a 4-digit number and then rearrange it in such a manner that he obtains the maximum possible number. After rearranging, he was asked to subtract the two. But Kamlesh misheard and instead rearranged it in such a manner that he obtained the minimum possible number and subtracted it from the original number. He was scolded and was asked to correct his mistake. While he was correcting his answer, he noticed that both the differences were divisible by a common number which was not prime. What was that number?

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Quantitative Aptitude
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Q2:

A wire of length 88 cm was divided into two equal parts A and B. Part A was reshaped as a square, while part B was further divided into two equal parts and both parts were reformed as a circle. Find the difference in area enclosed by part A and part B. 

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Quantitative Aptitude
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Q3:

A famous cab service company, Suber, decided to send all their vehicles for election duty. Half of the vehicles were sent to North and West India (Region 1) while the remaining half were sent to East and South India (Region 2). After sending equal vehicles to both the regions, the owner noticed that he had one vehicle left in the parking lot. The Vehicles sent in the region 2 were further allotted 7 different states to cover. After all the vehicles in the region 2 went to their allotted states, it was found that 4 vehicles were left in the parking. The vehicles sent to states were then asked to cover 3 regions to cover the whole state. When the vehicles sent to each of the 7 states proceeded to cover the 3 different regions, none of the vehicles were left. How many vehicles were allotted to the Region 1, that is, North and West India?

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Quantitative Aptitude
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Q4:

Two numbers in base B are 504 and 625. If the sum of these numbers in the decimal system is 562. Find the base (B).

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Quantitative Aptitude
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Q5:

How many numbers of zeros are there at the end of 32! In base 4?

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Quantitative Aptitude
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Q6:

A sector of circle with radius r and angle 120 is joined from two ends to form a cone. Find the height of the cone in terms of r. 

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Quantitative Aptitude
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Q7:

Find the remainder  

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Quantitative Aptitude
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Q8:

How many divisors of 105 will have atleast one zero in its end?

 

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Quantitative Aptitude
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Q9:

A bike is moving up hill with velocity 2 m/s.If the inclination of bike is 30 as compared to ground; find his effective uphill rate. 

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Quantitative Aptitude
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Q10:

Four ferry starts from four different beaches in Goa namely Hansa,Bimbel ,Baina and Bogmalo takes 5 minutes ,10 Minutes ,15 minutes and 20 Minutes respectively to reach the nearby island .They start at 10:00 Am from their respective places for the nearby island. Find the time at which all four will reach the island simultaneously. [Next ferry from any beach leaves for island when the previous ferry from same beach reaches the island]. 

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Quantitative Aptitude
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Q11:

There are (N) number of rows in a nursery. If 5 flowers are planted in each row then three rows remain unplanted. If however, 4 flowers are planted in each row then 4 flowers remain unplanted. Find the total number of flowers. 

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Quantitative Aptitude
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Q12:

Rahul’s mother told Rahul that if he tells her the smallest 5-digit number which when divided by 9, 17 and 23 leaves the same remainder of 8, then she will make his favorite chocolate custard later tonight. Later on, Rahul ate the chocolate custard cooked by his mother at night. What answer did Rahul give?

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Quantitative Aptitude
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Q13:

In a book 648 digits are used to count number of pages. Find the number of pages the book has?

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Quantitative Aptitude
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Q14:

A rectangular lawn of 24 × 36 m2 has two roads each 4m wide running between the park. One is parallel to length and other is parallel to width. Cost of gravelling is 25 paise/m2. Find the total cost of gravelling? 

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Quantitative Aptitude
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Q15:

A, B, C are three angles of a triangle. If A – B = 150 and B – C = 300, find the measure of angle A. 

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Quantitative Aptitude
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