Official Quant thread for CAT 2013

maximum value of the function 1/x^2-3x+2...pls explain in detail

cubic room of side 3 cm . ant has to travel from one corner of body diagonal to another what is the distance

Find the area of a regular octagon (in sq.m) whose side is 1 m.

1. root 3/4,

2. 2root3,

3. 2root2

+2,

4. 8root2

+8


the ans m getting is not there


A city has a circular wall around it with four gates pointing north,south,east and west. A house stands outside the city, 3 km north of the north gate, and it can just be seen from a point 9 km east of the south gate.What is the diameter of the wall that surrounds the city? options are- 1) 6km , 2) 9km , 3) 12 km 4)none of these

What will be the sum of 19th power of all 19 roots of given equation=>x^19+17x-19=0
323 -323 361 324😠.


How many distinct rectangles having integral sides (in cm) and a perimeter less than or equal to 120 is possible?
800; 924; 900; 926; 896

OA is 900
PLS explain

Can anybody please explain PICK's theorem??I'm not getting it..


minmum value of |x+1| + |x-4| ?

Question :

The maximum possible value of y = min (1/2 – 3x2/4, 5x2/4) for range 0

1/3

1/2

5/27

5/16

5/12

easy one!!!
How many integer points lie within area bounded by x = |7| and y = |9| ?

In a trapezium, it was found that the sum of the squares of the diagonals is less than the sum of the squares

of the sides by 144 cm2. If the shorter of the parallel sides is 9 cm long, then find the length of the longer of

the parallel sides (in cm).

12, 15, 18, 21

If x, y, z are the angles (in degrees) of the triangle ABC, where x, y, z are integers, then what is the number of

values that (x - y - z) can take?


90, 179, 178, 177

but i am getting 179x178/2


plz explain



Seven students - A, B, C, D, E, F and G calculated the sum of the marks of six students of their class. The following are the statements made by them.

A: Five of them scored a total of 32 marks

B: Five of them scored a total of 35 marks

C: Five of them scored a total of 37 marks

D: Five of them scored a total of 31 marks

E: Five of them scored a total of 36 marks

F: Five of them scored a total of 34 marks

G: Five of them scored a total of 33 marks

During the calculation, exactly one of them made a mistake in adding the marks.

1.Which student made the mistake in adding the marks?

a) D (b) E (c)F (d) NOne of these

2.What is the highest marks of any student among the six students?

(a) 8 (b)9 (c)10 (d)11

please solve this question and provide explanation....


if 2f(x)-3f(1/x)=x^2 (xi s not equal to 0) then f(2) is equal to

-7/4

5/2

-1

NOT

The sides of triangle ABC are a cm, b cm and c cm. The sides of triangle DEF are d cm, e cm and f cm. And

a (a + b + c) = d2 ; b (a + b + c) = e2 ; c (a + b + c) = f2; Then triangle DEF is


acute, obtuse, right angled or isoceles


I think it was in AIMCAT

If f(x)=log (1+x/1-x) then f(2x/1+x^2) is equal to

(f(x))^2

(f(x))^3

2f(x)

3f(x)

Which SIMCAT (Unproctored) should I prefer now....I have my D-Day on 5th Nov.

If x is not equal to 1 and f(x) = x+1/x-1 is a real function then f(f(f(2))) is


1
2
3
4

If 4f(1-x)-5f(x)= x^2+1..then f(3)?

A small Delhi based company has a policy that it will sell X items at SP of Rs. (50 –x/120 ) per item. The cost of producing X items is Rs. (x/9 + 56). Find the production level X for maximum profit. Assume that all that is produced is sold.

2,994

1,993

3,992

994

None of these