Official Quant thread for CAT 2013

If last three digits of N^3 is 888 then, what would be sum of digits of least value of N. Note Sum of digits of 128 = 11

a. 10

b. 11

c. 12

d. 16


approach plz @placiddisciple @sagarcat

If a = 4^1/3 [16^1/3 + 4^1/3 + 1], then find the value of a^3 - 12a^2 + 36a - 24.

6

12

0

18


Please give approach as well.

How many even numbers greater than 2000000 can be formed using the digits 0, 1, 1, 2, 3, 3, 5?

(a) 270 (b) 210 (c) 420 (d) 360


Find the value of 12 – 32 + 52 – 72 + …–1992.

(a) –20000 (b) –20400 (c) –19600 (d) 19800

plzz give d solution also

S1 = {2, 4, 6, 8, .................... 800}

S2 = {3, 6, 9, 12, .................. 900}

If S3 = S1 union S2, then what will be the 105th element of S3 if all its elements are arranged in

increasing order?

bhai koi bhi mock 7 ka ques no 8 samjha do..... kuch palle nahi pada.... n how to approach this types of question... 😠😠

Hi guys, i m in a crisis situation right now. Have a lot of doubts piled up in both quant & verbal, and since i m not a regular student of any coaching center, they refused to arrange any doubt sessions, could you please suggest a source from where i can get my doubts cleared. Please help. 😠😠

Two lines P and Q intersect at point (3, 2) in the x-y plane. The slope of line P is 45ΒΊ and line Q is parallel to the x-axis. What is the area (in sq. units) of the triangle formed by P, Q and a line perpendicular to P and passing through point (5, 4)?

Find out the number of integral solutions

x^2-y^2 = 65^2


Find the number of integral solutions of

!/x + 1/y = 1/12

Find the number of ordered pairs for a,b,c,d such that

LCM(a,b,c,d) = 360

A circle of radius 'r' has a triangle inscribed in it such that the base of the triangle is the diameter.
similarly another circle of same radius has a maximum rectangle that can be inscribed in it.What is the sum of Areas of rectanle and Triangle in terms of radius of circle 'r'?
Approaches are Welcome πŸ˜ƒ 😁

The internal angles of a n-sided polygon are in Arithmetic Progression. If the smallest internal angle is 115, and largest internal angle is 125, find n?

In isosceles Triangle ABC,
AD, BF and CE are the altitudes of triangle ABC.
If AB = AC = 25 cm and BC = 30 cm,
what is the length (in cm) of EH?


Find the number of integral solutions of

|x|+|y|+|z| = 10

Bhaiyo bahut acha ques h.. M also attempting:

Q) Q1 ) ABC is a triangle. D is midpoint of BC. There is a point E on AC such that BE intersects AD at F.

Area of triangle BDF=12 sq. units. Area of triangle AFE=4 sq. units. Find the area of triangle ABC



In βˆ†ABC M is the midpoint of AB and N is the midpoint of AC. CM and BN meet at point O and are

perpendicular to each other. The length of AB is 2_/13cm and that of AC is _/73 cm.

What is the length of BC (in cm)?

(a) 17 (b) 19.25 (c) 8 (d) 5

x=[(2^r)/3], where [] denotes the greatest integer function. Find the summation of all x for r= 0 to 100.
P.S- Don't know the OA. Approach would be appreciated.

For N

In a km race, if A gives B a head start 40m , then A wins by 19 sec, if A gives B a headstart of 30 sec , then B wins by 40m. Find the time taken by each to finish the race.

Ans (125s, 150s)
Please share the approach, i tried solving the way i know but i'm getting wrong answer. So please explain it as well.

Thanks