Official Quant thread for CAT 2013

2.How many different 7 digit numbers are there the sum of whose digits are odd?

a) 45*10^5 b) 24*10^5 c) 224320 d) None of these


3. Seven different objects must be divided among three people. In how many ways can this be done if at least one of them gets exactly 1 object?

a) 2484 b) 1218 c) 729 d) None of these


4.A test consists of four sections.Each section has a maximum of 45 marks.Find the number of ways in which a student can qualify in the test if the qualifying marks is 90.

a) 36546 b) 6296 c) 64906 d) None of these


5.How many 6 digit numbers contain exactly 4 different digits?

a) 4536 b) 294840 c) 191520 d) None of these


6.The number of natural numbers of two or more than two digits in which digits from left to right are in increasing order is

a) 127 b) 128 c) 502 d) 512

There are two distinct natural numbers.Each is first increased by 10 and den by the same percentage as each was increased for the first time.Each number finally results in 72.Find the diff. between the numbers.

46,48,52,44

Given that 2^2010 is a 606-digit number whose first digit is 1, how many elements of the set S = {2^0, 2^1, 2^2, …, 2^2009} have a first digit of 4?

How many different triangles are possible with positive integer sides and perimeter as 1009 ?

Given a positive integer n, find the number of pair of integers (a,b,c,d,e) such that 0

Q2

QuantExpert - Q.O.D


How many points with integer co-ordinates lie inside the triangle whose vertices are (0, 2), (–5, –3) and (5, –3)?

Any logical way to solve this? @chillfactor @scrabbler

An agent gets a commision of 2.5% on the sales of the cloth. If on certain day, he gets Rs. 12.50 as commission, the cloth sold through him on that day is worth:

Three dice are rolled simultaneously. If the sum of the numbers that appear is not less than 6, what is the probability that the sum is equal to 16?

Any alternative way?

In a town the population was 8000. In one year, male population increased by 10% and the female population increased by 8% but the total population increased by 9%. The number of males in the town was:

What is the probability that the sum of the digits of a 10-digit number is divisible by 10?


a) 1/5 b) 1/10 c) 1/15 d) 1/20 e) none of these

solve it. provide solution

pqrs is a trapezium with pq and rs parallel.

pq = 6, qr = 5, rs = 3, ps = 4..The area of pqrs??

solve it. nd provide solution

The combined income of A, B and C is 80000. Their expenditures are 8000, 12000 and 15000, respectively. If their savings are in the ratio of 2:3:4, find the income of B.

Can I have the working please?

Cucumber contains 99% water. Ramesh buys 100 kg of cucumbers. After 30 days of storing the cucumbers lose some water. They now contain 98% water. What is the total weight of cucumbers now?

(a) 99 kg

(b) 50 kg

(c) 75 kg

(d) 2 kg

17^21^225 and not (17^21)^225 is divided by 117..rem=?

the inifnite sum of
1 + 4/7 + 9/(7)² + 16/(7)³ + ......

My neighbour Mr. Sharma has two children. Mayank is the name of Mr. Sharma's son. What is the probability that Mr. Sharma has an elder son?

A. 1/2
B. 1/3
C. 2/3
D. 3/4

What is the probability that in a 6 digit number with distinct digit such that first 4 are in increasing order and last 3 are in decreasing order

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