Official Quant thread for CAT 2013

V is a positive integer. When V is divided by any of the numbers 2, 11, 13, 71 and 89 the remainder is 1. What is the remainder when V^256 is divided by 16?


a) 1

b) 15

c) 3

d) 13


If i go by the conventional method of multiplying the nos. then adding one to it and then dividing the last four digits by 16 i am getting the answer as 3 which is wrong. Please clarify

(Answer : 1 )

Out of 210 accidents that occurred on the DND Flyway, 50 resulted in Head Injury, 105 in Chest Injury and 56 in Limb Injury. 32 suffered both Head and Chest Injury, 30 suffered both Head and Limb Injury and 45 suffered both Limb and Chest Injuries.

Find the maximum number of people who suffered at least one injury.


  • please explain the approach
  • 156
  • 153
  • 134
  • 141

0 voters

Out of 210 accidents that occurred on the DND Flyway, 50 resulted in Head Injury, 105 in Chest Injury and 56 in Limb Injury. 32 suffered both Head and Chest Injury, 30 suffered both Head and Limb Injury and 45 suffered both Limb and Chest Injuries.

Find the maximum number of people who suffered all the three injuries.


  • explain the approach
  • 35
  • 38
  • 43
  • none of these
  • 30

0 voters

Any Better Approach !

In a kilometer race, if A gives B a 40m start. A win by 19s. But if A gives B a 30s start, B wins by 40m. Find the time taken by B to run 5000 Km ??

@sagarcat @placiddisciple


A boy goes from his house to his school daily by a motorbike. He drives the motorbike at three different speeds 'a', '2.5a' and '4a' km/hr for three different durations during the journey. He definitely knows the time intervals for which he should drive his motorbike at each of these speeds so as to reach the school on time.

Usually the time for which the boy drives at 'a' km/hr, '2.5a' km/hr and '4a' km/hr is in the ratio 2:1:3. If this ratio becomes 4:1:1, the boy reaches 30 minutes late. Find by how much time (approximate) the boy will be late to school if this ratio is 3:2:1?


  • 19.7
  • 14.3
  • cbd
  • 11.7
  • 14.6

0 voters

A and B start swimming simultaneously from two points P and Q respectively, on a river towards each other. A crosses a floating cork at a point S and B crosses the floating cork at a point T which is at a distance of 8 km from point S. A and B cross each other at a distance of 2 km from T. It is given that the direction of flow of the river is from P to Q and in still water, the ratio of speeds of A and B is 3 : 1. P, S, T and Q ( in that order) are on the same straight line and assume that A, B and the floating cork move along that line.If PQ = 100 km, then find the distance between the floating cork and A when A reaches Q.


  • 13
  • none of these
  • 14
  • 12
  • 11

0 voters

The equation x2 + px + q = 0 has exactly one root between x = 0 and x = 1. Find the value of q(1 + p + q)

Does someone have the pdf or link to "demystifying number systems by nishit sinha" ?

10 books are selected in a row shelf. How many ways a person can select 3 books out of it when no two adjacent books are selected ?








The number 416183 is equal to the product pq of two prime numbers p and q whose sum satisfies 1292 ≤ p + q ≤ 1300. Which of the following equals p + q?


a. 1292 b. 1294 c. 1296 d. 1298 e. 1300

d question given in d pic will b equal to

What to do in progressions where there is a combination of AP and GP?? For example..

1/2.3 + 2/4.6 + 4/6.9 +....+ upto 10 terms??


@psk.becks @ahsish9virgo

A certain monument is in the shape of a right circular cone. We can measure the circumference of the base of this monument; it turns out to be 22pi inches. And at a time when the sun is 45 degrees above the horizon, we can measure the distance from the tip of the shadow to the nearest point on the base; that measurement is 6 inches. What is the height of this monument, expressed in inches?


i got the answer,but i feel it's more of a fluke,can anyone give a proper explanation?


@falcao Tumhara career bhi sahi h.. Monaco french ligue ke top pe h! 😛

When three brands of juices are mixed in the ratio of 3 : 4 : 5 and 4 : 5 : 6, the cost price of the mixture of these two juices comes out to be Rs. 20 and Rs. 25 per litre respectively. Find the cost price of a litre of mixture of juices in which the three brands are mixed in the ratio of 6 : 7 : 8.

can any one please explain maximisation and minimisation in venn diagram

Quadrilateral ABCD is inscribed in a circle. If AB = 8, AD = 5, BC = 3 and angle BAD = 60 degrees.

Find the length of AC and CD....


pls suggest some approach other than what was given in yesterday mock

Ans 55/7, 5

Any Generic method to solve this type of questions ! Its really giving me hard time..

Q. In a race of d m length A beats B by x m. and A beats C by y m. By what distance does B beats C in the same race?

Q. In a race of d m. A beats B by x m. and B beats C by y m. By what dietance does A beat C ??


What should i check to compare in these questions ?????????

@Shubh.i @placiddisciple @harshroy @sagarcat

Find the smallest number such that if its rightmost digit is placed at its left end, the new number so formed is precisely 50% larger than the original number.

(Approach please)

given below is a sequence of fractions.find the 200th term of the sequence ?

1/5,3/3,5/1,1/7,3/5,5/3,7/1,1/9,3/7,5/5,7/3,9/1.....