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# Official Quant Thread for CAT 2011 [Part 7]Quantitative Report

Please continue here with all the quant queries and their discussions.
link to previous thread :-
http://www.pagalguy.com/forum/quantitative-questions-and-answers/71846-official-quant-thread-cat-2011-a.html
Please use the posts for discussions as judiciously as you can.
Try to stick ...
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People, could you please help me with the solutions for the below mentioned questions. Thanks in advance

Q1) Find the volume of the largest right circular cone that can be inscribed in a cube of edge length 1.
a) (2*pi)/9 b) (2*pi)/(9*(3^0.5)) c) pi/9 d) pi/3

Ans: b

Q2) For how many numbers, all their factors add up to 48?

a) 0 b) 1 c) 2 d) 3

Q3) P = {1, 3, 5, 7, 9, 11, 13, , 99, 111, } is a set of all natural numbers containing odd digits only. S is the sum of reciprocals of all the numbers in set P. Which of the following is definitely false?

a) S is greater than 4
b) S is less than 5
c) S is greater than 7
d) S is less than 8

Ans: c

Q4) A pan-digital sum is the sum which uses all the digits from 1-9 exactly once. For example: 128 + 439 = 567 is one such case.

If AB + CD + EF = GHI represents a pan-digital sum where each letter represents a different digit from 1-9, then what is the minimum value of G + H + I?

a) 9 b) 18 c) 27 d) None of these

Ans: a)

Q5) In triangle ABC, P lies on AC and Q lies on BC. A circle with center M is inscribed in APQB and another circle with center N is inscribed in PQC. Find the measure of PMQ + PNQ.

a) 90 b) 180 c) 270 d) data insufficient

Ans: c

More Questions Coming Soon
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