Official Quant thread for CAT 2013

A can give a start of 20 m to B and B can give a start of 10 m to C in a race of 200m . By how much meter can A beat C
a. 21m B. 28m c. 29m d. 31m

What is the probability that the birthdays of 6 people will fall in exactly 2 calendar months ?

solve this one

please solve question 9

The remainder of 3^99 when divided by 101 ?

Hi Please tell the approach !

1. The present ratio of ages of A and B is 4:5. 18 years ago this ratio was 11:16. Find the sum total of their present ages ?

2. A mixture of milk and water are in ratio 5:1 On adding 5 Ltr of water, the ratio if milk to water becomes 5:2. The quantity of milk in the mixture is ?

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There are 6 green balls and 3 white balls in a bag. Two balls are selected at a time, what is the probability that both the balls are not green?

P.S.- OA not available

A very simple but confusing puzzle.A lady buys goods worth rs.200 from ashop. (Shopkeeper selling the goods withzero profit).The lady gives him 1000 rs note. Theshopkeeper gets the change from the nextshop and keeps 200 for himself andreturns rs.800 to d lady.Later the shopkeeper of the next shopcomes with the 1000rs note saying"duplicate" and takes his money back.How much LOSS did the shopkeeperface?....Probable Ans a)200 b)800 c)1000 d)1200 e)1800 f)2000 give ur answer with ur support. lookround

2 men leave place A and B simultaneously. one of them left A for B and the other B for A. Both travel at their own velocity. Having arrived at their destination, they turn back without stopping and travel to their starting point. for the first time they met at 12km from B, the second time at 6 km from A find the distance AB.
A. 72 km b. 30 km c. 45 km d. 60 km
please explain it also..


Raja took a loan of Rs.50,000 at 10% C.I, interest being compounded annually. He repaid Rs.10,000 at the end of the first year, a same amount at the end of the second, third and the fourth years. Find

the amount he has to pay at the end of the fifth year to repay the entire loan?


Rs. 20,050.00

Rs. 22.275.50

Rs. 26,795.00

Rs. 29,474.50

Q4:

QuantExpert - Q.O.D

What is the remainder when 2^96 is divided by 96?


(20^2004) +(16^2004)-(3^2004)-1 is divisible by,
a.317.
b.323.
c.253.
d.91

Q 23

Q22

What is the remainder when (32^32^32) is divided by 9


Let

r1,r2,r3 be the roots of polynomial

P(x)=x^3+3x+1

Evaluate the


Sum for (k=1 to 3) (rk^2+rk+1).

To complete a job, P takes half as long as Q and R takes. Q takes 8 times as long as P and R together take. All the three together can complete the job in 20/3 days. Find the time taken by P, Q and R to complete it.

A shopkeeper buys two varieties of rice, the price of the first being twice the second. He sells the mixture at Rs. 36 per kilogram and makes a profit of 20%. If the ratio of quantities of the first and second variety in the mixture is 3:7, then what is the cost price of each variety of rice?

if (a^2 - b ^2)sin@ + 2ab cos@ = a^2 + b^2 , then the value of tan @ is :??