Official Quant thread for CAT 2013

@albiesriram

A telecom service provider engages male and female operators for answering 1000 calls per day. A male operator can handle 40 calls per day whereas a female operator can handle 50 calls per day. The male and the female operators get a fixed wage of Rs. 250 and Rs. 300 per day respectively. In addition, a male operator gets Rs. 15 per call he answers and female operator gets Rs. 10 per call she answers. To minimize the total cost, how many male operators should the service provider employ assuming he has to employ more than 7 of the 12 female operators available for the job?



(1) 15 (2) 14 (3) 12 (4) 10



10

male cost= 850
Female Cost=800
So employ all 12 females this takes 600 calls rest 400 calls to be taken up by 10 males


2. Let S denote the sum of three natural numbers. Let D denote the sum of the products of them taken two at a time. Let P denote their product. If 3S + D = 2P, how many combinations are there for the numbers?

A) 3

B) 5

C) 6

D) 7

A circle of radius 4 units is inscribed in a triangle ABC (means circle touches all the sides of the triangle). It is given that circle touches BC at D such that BD = 6 and DC = 8. Find the length of sides AB and AC.

a) 13 and 15 b) 12 and 14 c) 13 and 16 d) 14 and 16

Q5:

QuantExpert - Q.O.D

A man buys shares at a discount of Rs x. Later he sells all but 10 of the shares be purchased at a premium of Rs x. If his investment was Rs 4500 and proceeds from the sale were Rs 6250, how many shares did he buy originally?(Assume face value of shares as Rs 100)

  • 60
  • 50
  • 90
  • 40

0 voters

Find the last three digits of the sum of all positive integers N such that 1≤N≤1000, N=pq, where p is less than q and both are primes, and N divides {(2^(q−p)) −1}

When i distribute a packet of chocolates to 7 students,i am left with 4 chocolates.

when i distribute the same packet of chocolates to 11 students , i am left with 6 chocolates

how many chocolates will be left with me if i distribute the same packet of chocolates among 13 students

(a packet of chocolates contain total no of chocolates N, 1000

please solve it

please solve it

please solve this question

if a and b are hcf and lcm resp. of two lagebric expressions x and y, and a+b=x+y , Then what is the value of a^3+b^3


What is the number of ways to get 16 as the sum while throwing a dice five times in a row?


where m i wrong in this??


(6-a) + (6-b) + (6-c) + (6-d) + (6-e) = 14

A + B + C + D + E = 14 => 18C4 ??




Chandra adds first N natural numbers and finds the sum to be 1850. But actually one numbers added twice by mistake. find the difference between N and that number

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please solve it

please solve it

What is the maximum value of HCF of (n^2+17) and (n+1)^2+17?

options are a.69 b.85 c.170 d. none of these
share your approach.

What is the sum of digits of the least multiple of 13,which when divided by 6,8 and 12 leave 5,7 and 11 as the remainder? please explain
options are a.5 b.6 c.7 d.8

@abhi_14
Its 300*9^5
9abcdefg - (9^6)*4
abcdefgh - one of b, c, d, e, f, g is 9, so 6*8*(9^5)*4
abcdefg9 - 8*(9^6)
Add them to get (9^5)(36 + 192 + 72) = 300*9^5

A circle is inscribed inside a quadrilateral ABCD such that it touches all the sides of the quadrilateral at P, Q, R, and S. Which of the following is correct?

i) AB + BC = CD + DA

ii) AB + DA = BC + CD

iii) AB + CD = BC + DA

iv) None of the above

@chandrakant.k



51 hai...



@Estallar12

@vijay_chandola : 18??? used options



18...


1/6 of camera= 3rolls

=>1 camera=18 rolls😃

@albiesriram

A circle is inscribed inside a quadrilateral ABCD such that it touches all the sides of the quadrilateral at P, Q, R, and S. Which of the following is correct?



i) AB + BC = CD + DA



ii) AB + DA = BC + CD



iii) AB + CD = BC + DA



iv) None of the above



None of the above ?.