Official Quant thread for CAT 2013

In triangle ABC, the internal bisector of angle A meats BC at D. if AB=4, AC=3 and angle A=60 degree than the length of AD....??

(1) 2 root3
(2) 12 root3 /7
(3) 15 root3/8
(4) 6 root3/7

The number of values of 'x' less than 30 for which 50! – x! ends in 6 zeroes is:
1)4
2)5
3)7
4)None of these

find the length of PQ

What is the 12th digit from the left of (6007)^3 ?
1)0
2)1
3)2
4)3
5)9

how to find number of even and odd numbers (y) between 100 and 150???????

(1) 1.32
(2) 1.44
(3) 1.56
(4) 1.68

How many ordered pairs (a,b) exist such that, L.C.M of a and b is 2^3 x 5^7 x 11^13. ?

a) 2460
b) 2835
c) 2645

d) 2840

Please explain the solution/approach as well.

any material on approximation (calculation)?

Q)Find the number of numbers from 100 to 400 which are divisible by either 2, 3, 5, and 7

Q)Find the number of numbers from 100 to 400 which are divisible by any one of 2, 3, 5, or 7

Approach is welcome !! 😁 😁

Q1

If Amar's and Bhanu's speeds are equal, find their first meeting point.

a) T6

b) T2

c) T3

d) None of these


Q2

If Bhanu's speeds is twice that of Amar, find their first meeting point.

a) T6

b) T2

c) T3

d) None of these


Please explain your approach as well.

Consider the set P = {–5, –3, –1, 1, 3, 5….} consisting of 1998 numbers. If 'a' be the average of the elements in P and 'b' be twice the average of the first 1998 natural numbers, then which of the following is equal to (a – b)?

a. –6

b. 5

c. –7

d. –8

There is a drop of honey touching the inside wall and at the bottom of a cylindrical glass on a table. There is an ant located on the table just outside the glass but diametrically opposite the drop of honey. If the diameter and the height of the glass are both 10 cm, then find the shortest distance (approximately) that the ant has to crawl to reach the drop of honey. (answer- do not know)

  • 25.43 cm
  • 30 cm
  • 26.35 cm
  • 18.63 cm

0 voters

What is the rightmost non-zero digit of 37!

The perimeter of a triangle is 105cm. The ratio of its altitudes is 3:5:6. Find the sides of the triangle.
(a) 72,46,36
(b) 62,28,41
(c) 30,60,25
(d) 50,30,25
Options are pretty obvious. pls tell approach!!!

In how many ways including ties can 4 horses cross the finishing line.
Plz explain your approach.

If and y > 1, then the value of the expression can never be-- log (base)x ( x/y) + log base y (y/x)

a. –1

b. –0.5

c. 0

d. 1

Number of integer valves of x that satisfy the inequatin |x+1|+|x+3|+|x-5|

Number of integer valves of x that satisfy the inequatin |x+1|+|x+3|+|x-5|

Number of integer valves of x that satisfy the inequatin |x+1|+|x+3|+|x-5|

An iron cube of side 4 cm is melted and exhaustively recast into N1 cubes each of side 1 cm, N2

cubes each of side 2 cm and N3 cubes each of side 3 cm (N1, N2, N3 > 0). What is the probability that

N2 is an odd number?

(a) 0.50 (b) 0.75 (c) 0.60 (d) 0.40