Official Quant thread for CAT 2013

Let T be the set of integers {3, 11, 19, 27, ...., 451, 459, 467} and S be a subset of T such that the sum of no two elements of S is 470. wat is The maximum possible number of elements in S ?

approach please!

How to approach ??????

The degree of each term of a polynomial P(x) is odd. When P(x) is divided by (x – 3), the remainder is 6. What is the remainder when P(x) is divided by (x^2 – 9)?

a. 2x

b. -36

c. 0

d. CBD

if a+b+c=0 then [a^2/2(a^2)+bc ] + [b^2/2(b^2)+ac] + [c^2/2(c^2)+ab]=

1. 0
2. 1
3. -1
4. abc

if M=107, N=108, O=109, P=110 then the square root of (1+(M+1)(N+1)(O+1)(P+1))

1. 11989
2. 12000
3. 110989
4. none of these

What is the probability that a randomly chosen angle a belongs to [0,2pi) satisfies
cos(2a)

(A) 3/4 (B) 1/2 (C) 1/3 (D) 1/6 (E) NOTA

Two vessels, A and B, contain milk and water respectively. The volume of milk in A and the volume of water in B are in the ratio 4 : 5. Now, x litres of milk from A is poured into B and then y

litres of the solution from B is poured into A. If as a result, the concentration of milk in A and that of water in B, both dropped from 100% to 662/3%, find x : y.

• (A) 7: 4 (B) 5: 3

• (C) 3: 2 (D) Cannot be determined

kal cat hai kyan?reply asap

Both alcohol and vinegar evaporate at a constant rate upon boiling and vinegar evaporates at three- fifth the rate of alcohol. At 12:10 p.m., Sanjana started boiling a mixture of alcohol and vinegar containing 60% alcohol in order to reduce the concentration of alcohol to 40%. However, she had to take a pause to make an urgent phone call at 12:20 p.m. by which time the concentration of alcohol had reduced to 50%. If she resumed the proceedings at 12:28 p.m., at what time was the

desired concentration of alcohol achieved?

• (a) 12:38 p.m. (b) 12:29 p.m.

• (c) 12:31 p.m. (d) 12:33 p.m.

f(xy)=f(x)+f(y). f(24)=16. f(49/8)=22. What is f(96root7) ?

how many rectangles have an area 24 sq units

How to approach these type of problems ?
I'm not able to prove option "a" Wrong. but its not the answer.

what is the sum of the series -1+3-5+1+5-7+3+7-9+5+9-11......... upto 100 terms?


1275
1022
986
1086

A number N when divided by D leaves a remainder 4, when one third of N is divided by D it leaves 29 as remainder. Find the least value of N more than 1000 ?.....pls provide approach!

PS: answer opns not available

FIND THE PERIMETER OF N SIDED REGULAR POLYGON INSCRIBED IN A CIRCLE OF RADIUS 100 CM

how to convert (761.56) base 8 to hexadecimal?

looking for the direct octal-binary-hexa method

Find the no of distinct triangles with integral sides and perimeter as 14??? iska koi shortcut method hai???

Kindly explain the marked step in the solution of given trigonometry problem (PFA a docx file)

f(x)=((9^x)/(3+9^x)) where x is real
f(1/2013)+f(2/2013)........+f(2012/2013)= ??

Options- 1006, 2012, 1011, 2011

plz tell the approach for this :

Find no of integral solutions of :
1/x -1/y = 1/62

dont have the options for this

FIND THE ALTITUDE AND BASE OF ISOSCELES triangle whose vertical angle is 65 and whose equal side are 415 cm