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[Advance Learning] Quant - Number System and Geometry-2

Q1:

A and B are two single digit numbers. If A+B is divided by 7 remainder is 4 and when A-B is divided by 7 remainder is 3. Find the remainder obtained when (AB) is divided by 7.

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Quantitative Aptitude
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Q2:

For two positive numbers a and b, (a+b)a+b is divisible by 729. Find the minimum value of (a×b)

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Quantitative Aptitude
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Q3:

We have a set of numbers, X = {2/729, 2/243, 2/81, 2/27 ….. 34992}. There is one subset of X, named Y, and the elements of the Y are such that the product of no two elements is 96. What is the maximum possible number of elements in Y?

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Quantitative Aptitude
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Q4:

Instead of multiplying from 3/2, a boy divided the number by 2/3. The new number he obtained is.

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Quantitative Aptitude
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Q5:

In the adjacent figure ABCD is a square with AO = AX. ∠XOBis equal to

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Quantitative Aptitude
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Q6:

Four horses are tied by a rope of 10 m on four corners of a rectangular grass field of 80 × 150m2. If all four horses are allowed to graze the rectangular plot, find the area ungrazed by the horses. 

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Quantitative Aptitude
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Q7:

A bookstore decided to lend out N number of books among D number of students. After lending equal books to D number of students, the owner observes that 17 books were left. After some days, the stationary guy opposite the bookstore decided to distribute free pens among the students and bought 5N pens. He distributed them among the same D number of students and saw that 18 pens were left. What was the number of students?

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Quantitative Aptitude
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Q8:

Three fractions, 2/3, 3/4 and 4/5 was given to a student. He was asked to find the LCM of the fractions and then treating it as the dividend, divide it with the HCF of the fractions. What was the answer he obtained?

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Quantitative Aptitude
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Q9:

From the given figure find the shaded region. ABC is an equilateral triangle of side 10 cm and the circle is inscribed in the triangle. 

 

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Quantitative Aptitude
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Q10:

Find the greatest power of 25 that exactly divides100! 

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Quantitative Aptitude
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Q11:

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

 

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Quantitative Aptitude
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Q12:

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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Q13:

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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Q14:

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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Q15:

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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