Official Quant thread for CAT 2013

Mr X decided to divide his wealth among his children in the following manner. To his first child Rs 1 lakh+one tenth of the remainder. To his second child two lakh plus one tenth of the remainder. To his third child 3 lakh and one tenth of the remainder and so on. In the end he found out that all the children had received an equal share of wealth. How many children did the old man have?


6
7
8
9

What is the remainder of the division 1+2+4+8+.............2^2000 divided by 5?

WHat is the remainder of 1^4+2^4+3^4+4^4+..............2003^4 divided by 10?

Approach Plz..!!!

can anyone explain Q.8 Q.20 & Q.28 OF AIMCAT 1407?

In a class of 200 students who play cricket and hockey, the number of students who play neither of the games is 16 less than those who play both. The number of students who do not play cricket is 24 more than those who do not play hockey. Find the number of students who play hockey

12

80

104

96


ans is 96 .. Pls explain.

Guys, How to improve on calculation speed... I am damn slow and usually make mistake, hence waste time in mock by rechecking it... please help!!

is following set of equations have unique solution for x.

x+y-2z=12;x+3y-6z=22

What is the sum of all the odd numbers from 901 to 999?


Approach please

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

A) rational and equal.

B) rational and unequal.

C) non real.

D) Either (A) or (C).

Can anyone explain the approach ?

Find the nth term of the series: 5, 22/5, 19/5, 16/5 …

(85 - 3n)/15

(85 - 9n)/15

(84 - 9n)/15

@nola @dark-phoenix @PiyushShekhar
I hope this makes it clear.

What is the probability that a randomly selected three digit number is divisible by 8?

112/900

113/900

111/900

If x^2 y^3 = 2^2 3^6 5^2 , Find the minimum value of 3x + 5y ?😠😠

Which of the following is a perfect square?(a) 90272 (b) 7167 (c) 34225 (d) 268758

If Y = minimum of {(x + 3), (6 – x)}, what is the maximum value of Y for 0

1. 6

2. 5

3. 4.5

4. 3

5. 2

Samir bought two varieties of pens, the first variety costing Rs 17 each and second variety costing Rs 10 each , spending Rs 207 in total .In how many different combinations could he have purchased the pens ?

A. 3
B. 2
C. 6
D. Can't be determined

Two vessels A and B contain the mixture of milk and water in the ratio 1 : 4 and 5 : 3 respectively. When these mixtures are to be remixed to form a new mixture containing half milk and half water, in what ratio should they be mixed?

1. 2 : 5

2. 12 : 5

3. 5 : 12

4. 7 : 3

5. None of these

eqn |x+1||x-1|=a^2-2a-3 cn hav real solutions fr x if a belongs to:



(-infinity,-1]u[3,infiinity)

[1-rt5,1+rt5]

none f th above

approach plz

Functions 😠😠😠