Official Quant thread for CAT 2013

If the lengths of AB, BC and CD are 60, 90 and 120, respectively, what is the length of QR?

1. 80

2. 120

3. 160

4. 175

5. 190

In the square ABCD, if CE = 1/3 AC, what is the measure of angleAEB?

1. 60

2. 30

3. 90

4. tan–1 of 1/3

5. tan–1 of 3

Q) the first "x" natural number are written on the sheet of paper. i erase one of the number and the product of the remaining numbers , end with 14 consecutive zeroes.Find the maximum and minimum value of "X" ????

The total area of a circle and a square is equal to 5450sq.cm. The diameter of the circle is 70 cm . what is the sum of the circumference of the circle and the perimeter of the square?

@Devanki

In how many ways can you post 10 letters in four letterboxes such that no letterbox remains empty? Any letterbox can hold any number of letters.


Approach Only.


OA is not 84 :mad: because letters are not identical.

Let P be the product of all expressions of the form (x-k)^k where k is an odd number less than 80. For how many integer values of x is P negative??

  • 22
  • 20
  • 18
  • 24

0 voters

find value/s of k for (2k-1)(x^2+1) = (2k+3)x has more than one distinct roots.

Q5






Find the area of the shaded region.

OC=2; OA=1 and O is the center of the circle.


The figure has been attached.

TB touches the semi circle at B. TA cuts the semi circle at P such that TP=PA. if the radius of the semi circle is 2. find area of shaded region.


The figure has been attached

Angle of elevation of the top of a hill from a point A is 30degree. After walking a distance of 1.5 km on a slope inclined at 15 degree to the horizontal, angle of elevation of the top is found to be 45degree. The height of the hill in km is??

Two consecutive numbers are removed from a list of first 'n' natural numbers. The average of the

remaining numbers is 64/3 .What is the product of the two numbers that have been removed?

a. 210 b. 756 c. 240 d. Cannot be determined

Can any one help me solve this question?

Thanks for your help.

correct answer (a).

can any one tell short cut to 3 digit multiplication?

@sanchitagrawal

Angle of elevation of the top of a hill from a point A is 30degree. After walking a distance of 1.5 km on a slope inclined at 15 degree to the horizontal, angle of elevation of the top is found to be 45degree. The height of the hill in km is??



Is the answer 2 km?

If 1/(1! *19!) + 1/(3! *17!) + 1/(5! * 15!) +...+1(19! * 1!) = 2^a/(b!)

then what is the sum of a and b?

(a) 20 (b) 30 (c) 29 (d) 39

Can anyone explain how to solve this problem

Correct answer (d)

Amit covers a certain distance with his own speed,but when he reduces his speed by 10 km/h his time duration for the journey for the journey increases by 40 hours, while if he increases his speed by 5 km/m from his original speed he takes 10 hours less than the original time taken. find the distance covered by him
Please temme the approach to do this question orally