Official Quant thread for CAT 2013

The average of five natural numbers is 150. A particular number among the five exceeds another by 100. The rest three numbers lie between these two numbers and they are equal. How many different values can the largest number among the five take?

59

19

21

42

Eighty kilogram of store material is to be transported to a location 10 km away. Any number of

couriers can be used to transport the material. The material can be packed in any number of units

of 10, 20, or 40 kg. Courier charges are Rs. 10 per hour. Couriers travel at the speed of 10 km/hr if

they are not carrying any load, at 5 km/hr if carrying 10 kg, at 2 km/hr if carrying 20 kg and at

1 km/hr if carrying 40 kg. A courier cannot carry more than 40 kg of load. The minimum cost at which

80 kg of store material can be transported to its destination will be

a. Rs. 180 b. Rs. 160 c. Rs. 140 d. Rs. 120

the longest side of a triangle is 20 cm and another of its side is 10 cm. Its area is 80 sq. cm. what is the exact length of its third side.

In a triangle ABC, BK is an angle bisector. A circle with radius 5/3 passes through the vertex B, intersects AB at a point L, and is tangent to AC at K. It is known that the length of AC is 3√3, and the ratio of the lengths |AK| to |BL| is 6:5. what is the area of triangle ABC.

answer would be in the form of (a√b)/c

consider a circle with unit radius. there are seven adjacent sectors s1,s2,s3....s7 in he circle such that their total area is 1/16 of the area of the circle. further the area of the jth sector is twice that of the

(j-1)th sector,for j=2...7. what is the angle ,in radians,subtended by the arc of s1 at the centre?

a supply of water lasts for 150 days if 12gallons leak off every day and for 100 days if 15 gallons leaks every day. find the supply of water.

  • 1125
  • 900
  • 3350
  • 1250

0 voters

b-[b-(a+b)-{b-(b-a+b)}+2a]

  • 5a
  • 0
  • 4a
  • 3a

0 voters

if x/y =6/5 then find the value of x2+y2/x2-y2

  • 0
  • 51/11
  • 61/11
  • cannot be determined

0 voters

if a/b=3/4 and 8a+5b=22 then find out the value of a

  • 5/2
  • none
  • 2
  • 3/2

0 voters

anyone facing any issue with IIFT login ???

how many six digits number can be formed if each number starts with 35 and sum of the digits is equal to 14.



a.210. b.336. c.84 d.126

please explain the solution to this question....mgmgmgmgmg

please explain the solution to this question....👏👏👏👏👏👏👏👏

@nramachandran

In a trapezium PQRS PQ is parallel to RS and PQ=10 and RS = 20. A line UV is parallel to both PQ and RS and divides the distance between them in the ratio 2:3. What is the length of UV?

a)12

b)14

c)16

d)18

Please explain your approach



b)14

A cube is painted with red colour and then cut into 64 small identical cubes. If two cubes are picked randomly from the heap of 64 cubes, what is the probability that both of them have exactly two faces painted red?
1/4
31/63
23/168
47/84




Two friends – Prakash and Arpit – started running simultaneously from a point P in the same direction along a straight running track. The ratio of the speeds of Prakash and Arpit was 2 : 5 respectively. Two hours later, Arpit turned back and started running backwards at one-fifth of his original speed. He met Prakash at a distance of 10 km from the point P. What was Prakash's running speed?

OA = 2.5 k /h

Hey puys, not sure if this quest has been asked before but I don't get the reasoning of the solution:

How many numbers greater than a million can be formed from the digits 1,2,3,0,4,2,3

This is Worked-out Problems of P&C;

Thanks in advance.

the 100th digit of 5^6^7^8... i know the answer.. but pls explain the method... how is it 5 raised to an odd number??... hw can v verify it??...

ABC is an equilateral triangle inscribed in a circle of radius r.What is the area of the largest square that can be inscribed inside the triangle?Looking for the shortest method..If anyone got one..Please share..

In a triangle ABC, BK is an angle bisector. A circle with radius 5/3 passes through the vertex B, intersects AB at a point L, and is tangent to AC at K. It is known that the length of AC is 3√3, and the ratio of the lengths |AK| to |BL| is 6:5. what is the area of triangle ABC.

answer would be in the form of (a√b)/c

  • asdf
  • qwerty

0 voters