Official Quant thread for CAT 2013

17,43,81,131, ?

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2,29,38,47

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The greatest common divisor of

(3^3)^333 + 1 and 3^3^334 +1 is

  • (3^3)^333 + 1
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Let P represent the set of all natural numbers from 1 to 100 each of which differs from the sum of it's factors by 1. Let Q represent the set of all natural numbers from 1 to 100 each of which is equal to the number of it's factors. The LCM of the greatest element of P and greatest element of Q is


A thin copper wire is wound uniformly and spirally in a single layer from the bottom to the top around a cylindrical iron rod. The circumference of the iron rod is 2cm and its height is 56 cm. If the number of turns in the spiral wound copper wire is exactly 45, what is the length of the copper wire used?

at the bookstore" MODERN BOOK STORE " is flashed using neon lights . the words are individually flashed at long interval of 5/2,17/4, and 41/8 seconds respectively and each word is put off after a second . the least time after which full name of the bookstore would be visible is ....

Q5

QuantExpert - Q.O.D


given 5 concentric squares-if the area of circle inside the smallest square is 77 sq units. the distnace between corresponding corners of consecutive squares is 1.5 units, find the difference between areas of outermost and inner most squares

8+88+888+8888+.... UPTO N TERM


A diamond merchant had 120 unprocessed diamonds with him. He gave them to 3 workers a,b and c for polishing. 13 times the number of diamonds given to one worker was equal to 15 times that given to other. The maximum difference b/w the number of diamonds received by any two workers is at least... please give explanation.

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a triangle has one side =20 cm and other side =10 cm. area of triangle is 80 cm2. what will be the exact measure of the thirdside- _/250, _/260, _/270, _/280

FIND THE INFINITE SUM OF FOLLOWING SERIES ...

1/1+1/3+1/6+1/10+1/15+................... UPTO INFINITY..



A function f is defined as f(n) = 6^n + 8^n for all integers n. Find the remainder when f(83) is divided by 49.

1) 7 2) 42 3) 0 4) 14 5) 35 any non conventional approach wch takes less time? (not the eulers one)

There are two cities P and Q. A car 'A' starts from city P at 6:00 am and reaches city Q at noon. Another car 'B' starts from city Q at 7:00 am and reaches city P at 3:00 pm. Find the approximate time taken for cars to meet after car A starts.

@catahead

You can solve it by this method too.. i have added the attachment


A person wishes to make up as many parties as he can out of 20 friends, each party consisting of the same number.How many should he invite at a time.In how many of these would the same man be found.


@KD8

area of the circle outside the square is equal to the area of the square outside the circle

Let that area be x......Now the common area between cicle and square + x= area oc circle

256! is expanded and expressed in base 576 . how many zeroes will this expression have on its right end?

what is the last non zero digit of 36!

Find the least number possible whose factorial consists of 100 trailing zeroes in base 35.