Official Quant thread for CAT 2013

DOUBT FROM HEIGHTS AND DISTANCE >>>mgmgmg

Can someone tell me the general formula for expansion of ..say (x+y)^5

Q3






1 and 8 are the first two natural numbers for which 1 + 2 + 3 + ... + n is a perfect square. Which number is the 4th such number?

hundred diamonds each worth rupees 25,000 are to be divided into two groups such that one fourth of a value of one group would be 5 lakh more than one sixth value of diamond in the second group the ratio of diamond in each group is

Find the infinite sum of the series 1/1 + 1/3 + 1/6 + 1/10 + 1/15.

In how many ways 288 can be written as product of 3 numbers. Please explain the approach.

Which among 2^1/2, 3^1/3, 4^1/4, 6^1/6, 12^1/12 is the largest?

If x = − 0.5, then which of the following has the smallest value?

a. 2^1/x

b. 1/x

c. 1/x^2

d. 2^x

e. 1/ √-x

If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4 then what is the value of abc/def

(1) 3/8

(2) 27/8

(3) 3/4

(4) 27/4

(5) 1/4

What is the remainder when 510152025.....50 is divided by 45 ?

a) 0

b) 5

c) 15

d) 25

In how many ways can the letter of word FACTOR be permuted so that no consonant are together ?? :P

If two of the roots of the equation x^4 - 9x^2 + 4x +12 = 0 are equal, then the roots are ?

How to approach questions like these other than substituting options ?

Awesome... Something big is coming....

Amit starts fron Kolkata at 5 am and reaches Darjeeling at 10 am. Barun starts from Darjeeling at 7 am and reaches Kolkata at 9 am. When they'll meet?

V is product of first 41 natural numbers and A = V + 1. Find the number of prime number among A + 1, A + 2, A + 3, A + 4, …, A + 39, A + 40.

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V is product of first 41 natural numbers and A = V + 1. Find the number of prime number among A + 1, A + 2, A + 3, A + 4, …, A + 39, A + 40.

a) 1,b)2,c)3,d)0

two persons A and B start simultaneously in the same direction from a point P on a circular track of length 400m. how far from P(when measured along circular track) will they meet for the 17th time given ratio of speeds of A and Bis 9:7??? APPROACH??

Harsh wants to buy an air-conditioner for his family. He went to a shop and selects an AC whose price is Rs 12700. The shopkeeper gave him two offers either you pay the full amount of Rs 12700 or pay only Rs 4000 and installment of Rs 3000 per month for the next 3 months just paying Rs. 300 as interest. What is the rate of interest the shopkeeper charged from Harsh?

Please explain the solution.

Should length > breath for rectangle ???