Official Quant thread for CAT 2013

A salesman gets commission on total sales at 9%.If the sales is exceeded Rs 10000 he gets an additional commission as bonus of 3% on the excess of sales over Rs 10000.If he gets total commission of Rs 1380 ,find the bonus he received.

Selling price of a shirt and a coat is Rs 4000.The CP of a shirt is 58.33% of the CP of a coat and so amount of profit on both the shirt and the coat is same,then the price of shirt could be

2100
2525
2499
1120

what is te largest domain for the function f(x)= log(base7)log(base2)log(base 3)(18x-x^2-77) is defined?



(7,11)
(6,10)
(9,10.5)
(8.5,9.5)

please provide th solution ntoo

Find the largest integral value of n such that (5041!)! is divisible by ((n!)!)!

If the equation 2x3 + Ax2 + B = 0 has three non-zero integral roots such that two roots are equal, then which of the following cannot be a possible value of A + 3B?

  • 630
  • 180
  • -72
  • 18
  • -18
  • 72

0 voters

If x, y, z are positive real numbers and

xy − 2x − 9y + 10 = 0,

xz − 5x − 9z + 37 = 0,

yz − 5y − 2z + 1 = 0

then find the values of x, y, z.

In the country of Twenty, there are exactly twenty

cities, and there is exactly one direct road between

any two cities. No two direct roads have an

overlapping road segment. After the election dates

are announced, candidates from their respective

cities start visiting the other cities. Following are

the rules that the election commission has laid

down for the candidates:

• Each candidates must visit each of the other

cities exactly once.

• Each candidates must use only the direct

roads between two cities for going from one

city to another.

• The candidates must return to his own city at

the end of the campaign.

• No direct road between two cities would be

used by more than one candidate.

The maximum possible number of candidates is


MERRY CHRISTMAS 😃

Two different solutions of honey, milk and water are mixed with each other three times in varying proportions. The concentration of honey and milk in the three resulting mixtures are found to be (10%,16%),(12%,12%) and (16%,X%) respectively. What is the value of X?

What is the 200th term of the sequence of consecutive natural numbers that do not contain 0 starting from 1.
For ex. 1 2 3 4 5 6 7 8 9 11 12 ...

😃

Vinay fires 2 bullets from the same place at an interval of 12 minutes but Raju sitting in a train approaching the place hears the second report 11 Min & 30 Sec after the first. What is the approx speed of train (if speed of sound travel is 330 metre per second)
Pls explain it in detail if possible! 😐

qstn>>114
lookroundlookround

A binary number is said to be a BHAI_MERE number if it contains exactly three 1s. If the

BHAI_MERE numbers are arranged in ascending order, then find the rank of atleast 8 digit BHAI_MERE number.

😃


In a college, two candidates contested an election. 15% of the voters did not vote and 41 votes were invalid. The elected contestant got 314 votes more than the other candidate. if the elected candidate got 45% of the total eligible votes, which is equal to the no. of all the students in the college, find the number of votes for individual candidates.

Please help with the approach. :embarrassed:

last date for registrations in great lakes is?

a shopkeeper marks up good by 50% on CP. He thinks he would get a profit of 25% upon giving a discount of 25% on marked up price. What is the actual gain percent

  • 25
  • 12.5
  • 33.33
  • 50

0 voters

THis is a logic question Can anybody solve.
X:63 :: 96 :162
Find X

If k is a natural number such that 1≤ k ≤ 78, for how many values of k is the tens digit of 31to d power equal to 6?

How many pairs of consecutive numbers between (1000)base9 to (2000)base 9 can a person add such that there is no carry over from one column to the next?



150
130
156
301

A manufacturer produces two types of products- A

and B, which are subjected to two types of

operations, viz. grinding and polishing. Each unit

of product A takes 2 hours of grinding and 3 hours

of polishing whereas product B takes 3 hours of

grinding and 2 hours of polishing. The manufacturer

has 10 grinders and 15 polishers. Each grinder

operates for 12 hours/day and each polisher 10

hours/day. The profit margin per unit of A and B are

Rs. 5/- and Rs. 7/- respectively. If the manufacturer

utilises all his resources for producing these two

types of items, what is the maximum profit that the

manufacturer can earn?

A. Rs.280/- B. Rs.294/- C. Rs.515/-

D. Rs.550/- E. None of the above

lookroundlookround