Official Quant thread for CAT 2013

E is the midpoint of the median AD of a triangle ABC. If BE produced meets the side AC at F,then CF is equal to 1.AC/3 2.2AC/3 3.AC/2 D.NONE

PQR is an equilateral triangle. O is the point of intersection of altitudes PL,QM,RN. If OP=8cm, then what is the perimeter of triangle PQR

I want to climb down a flight of ten stairs,taking one or many steps at a time .In how many ways can i do this if i am able to take as many steps at a time as i like ?
Don't know OA..Kindly share your approach.

ABC is an equilateral triangle inscribed in a circle. D is a point on the arc BC. what is /_ADB equal to??? 1.90 2.60 3.45 4.none

which of the statements are true?? 1. If G is the centroid of triangle ABC then GA=GB=GC. 2. If H is the orthocenter of triangle ABC then HA=HB=HC.

The Squares of the naturals numbers are written in a straight line 1491625...... to form a 200 digits number.What is the 100th digits from the left ??

1) 2
2) 5
3) 6
4) 9

All possible pairs are formed from the divisors of 21600.How many such pairs have HCF of 45 ?

1) 8
2) 276
3) 49
4) 34

x,y,z are positive numbers, minimum value of (1+x)^8(1+y)^8(1+z)^8 is

if in a quadrilateral ABCD two sides are equal then is it necessary that 2 angles have to be equal??? 1.TRUE 2. FALSE 3.ONLY FEW CASES

There are 6 boxes containing A, B, C, D, E and F marbles respectively,where A

16

11

32

22

What digit does “a” represent, if

35! = 10333147966386144929a66651337523200000000?

(a) 4 (b) 6 (c) 2 (d) 1

Please explain with solution

@shanu18

All possible pairs are formed from the divisors of 21600.How many such pairs have HCF of 45 ?1) 82) 2763) 494) 34



@shanu18

All possible pairs are formed from the divisors of 21600.How many such pairs have HCF of 45 ?1) 82) 2763) 494) 34



In XYZ Academy, there are 200 students, 100 are learning Quant, 50 Verbal, 60 LR. 30 students are learning both Quant and Verbal, 35 students are learning both Verbal and LR, and 45 students are learning both Quant and LR.


21. What is the maximum number of students learning atleast one thing?

1. 100 2. 130 3. 60 4. 120


22. What is the maximum number of students learning everything?

1. 20 2. 15 3. 30 4. 40


23. What is the minimum number of students learning atleast one thing?

1. 100 2. 130 3. 120 4. 60


24. What is the minimum number of students learning everything?

1. 20 2. 15 3. 30 4. 40

How many ordered pairs (a, b) exist such that LCM of a and b is 2^3 5^7 11^13 (a, b element f N)?

2460

2835

2645

2840

In how many ways one can put

(a) 4 different boll in 4 different bag

(b) 4 identical ball in 4 different bag

(C)4 different boll in 4 identical bag

(d)4 identical boll in 4 identical bag

solve following question and please explain your method too.


if x,y,z are non negative integers then,find the number of solutions for (x,y,z)

if 3x+5y+4z25


  • infinite
  • 2
  • 1
  • 0
  • none

0 voters

The square of the sum of the roots of a quadratic equation is thrice the product of its roots. The roots of the equation are



rational and equal.

rational and unequal.

non real.

Either (A) or (C).



How many natural numbers less than 100 when squared and then divided by 24 leave a remainder of 1?

30

33

32

34

The average of 3 numbers a,b and c is 9. How many non-negative triplets (a,b,c) are possible?

triangle DEF is formed by joining midpoints of the triangle ABC.PQR is a triangle formed by joining the midpoints of DEF.if the sides of triangle PQR are 1,2,3 then the perimeter of triangle ABC?? 1.18 2. 24 3.48 4.cannot be determined