Official Quant thread for CAT 2013

If f(x)= x^2+x+7 then find f(a) +f(b) /a-b where a is not equal to b


a^2+b^2-2
a+b+1
a+b+b^2
a+b-1

A function H is defined for all the positive integers that satisfy the following condition


H(1)+H(2)+H(3)+....................+H(x)= x^2 H(x)
If H(1) = 2006 then find the value of H(2005)

2/2005
2/2006
2/2006!
2/2005!

A tank has four inlet pipes - P1, P2, P3 and P4. The rate at which each of the pipes P1, P2 and P3 fill the tank is 2/9thof the rate at which P4 fills the tank. Find the ratio of the time taken by all the four pipes working together to fill the tank to the time taken by P4 alone to fill the tank.


3:5

9: 11

2 : 3

2 : 5

From a point outside a circle of radius 15 cm, two tangents are drawn to the circle. The angle

between the tangents is 74°. Find the area of the triangle formed by the tangents and the chord

joining the points of contact. (sin37° = 0.6) @sagarcat


Two circles with radii 30 cm and 40 cm intersect at two points P and Q. Find the length of the common chord PQ, to both circles, given that the centres of the circles are 50 cm apart.


48 cm

40 cm

36 cm

24 cm

if f(x) = 4^x/4^x+2 find the value of f(1/1999)+f(2/1999)+..................+f(1998/1999)


1998
1999
998
999

bhai koi once and for all ye type k questions krne ka tareeka bata do...

|x+a| + |x+b| + |x+c| >,

|x-a| + |x-b| + |x-c| >,

solve


If the point of intersection of the lines ax + 3y +1 = 0; bx + 6y +1 = 0 lies on the line cx + 9y +1 = 0 then the relation between a, b, and c is


a + c = 2b

a + b = 2c

b + c = 2a

a + 2c = b

If f(n) represents the sum of the digit(s) of n for n = 1, 2, 3, 4, …, find the remainder when f(1) + f(2) + f(3) + f(4) + … + f(100) is divided by 90.

(a) 1 (b) 11 (c) 46 (d) 0

The average of the digits of a three-digit number is a perfect cube. How many such three-digit numbers exist?


13

14

15

16

hai 2 nd question samjha do.... @ankurkhanna14 @sagarcat

what is the area enclosed by the graph of the function 3.5|x-11.5| + 14|y-7.5|=24.5 ?

a. 22.5
b. 24.5
c. 26.5
d. 28.5

The product of the positive numbers a1, a2, a3, . . . . a10 is 12. The minimum value of the sum of 2a1 + 3a2 + 4a3 +. . . . + 11a10 is


(12!)1/10

10(12!)1/10

10 (12!)

12!

The product of the positive numbers a1, a2, a3, . . . . a10 is 12. The minimum value of the sum of 2a1 + 3a2 + 4a3 +. . . . + 11a10 is


(12!)1/10

10(12!)1/10

10 (12!)

12!

There is a circle of radius 1 cm. Each member of a sequence of regular polygons S1(n),

n = 4, 5, 6, …, where n is the number of sides of the polygon, is circumscribing the circle: and each

member of the sequence of regular polygons S2(n), n = 4, 5, 6, … where n is the number of sides of

the polygon, is inscribed in the circle. Let L1(n) and L2(n) denote the perimeters of the corresponding

polygons of S1(n) and S2(n), then {L1(13) + 2pie}/ L2(17)

is

a. greater than pie/4 and less than 1


b. greater than 1 and less than 2

c. greater than 2

d. less than pie/4

When a producer allows 36% commission on retail price of product: he earns a profit of 8.8%. what would be the profit % if the commission is reduced by 24 %

Find the number of non-negative integral solutions of the equation: u + v + w + x = 26.


28C3

29C3

25C3

26C3

help needed

a sum of 8000 is borrowed at 5% p.a compound interest and paid back in 3 equal installments. What is the amount of each installment.

please solve for simple interest case,,,, approach needed. !!!! @ankurkhanna14 @Dexian @scrabbler and every1



sin A/1-cos A = ?


cosec A+ cot A
sin A+tan A
sec A +cot A
cosec^2 A+ cot ^2 A